Finite Group Databasebeta

← #7732022

Subgroups — #7732022

Order 512.

5768 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48016C214yesmaximal, complemented
2#48014C214yesmaximal, complemented
3#47030C214yesmaximal, complemented
4#46450C214yesmaximal, complemented
5#43054C214yesmaximal, complemented
6#43024C214yesmaximal, complemented
7#39432C212yesmaximal, complemented
8#39065C212yesmaximal, complemented
9#38248C212yesmaximal, complemented
10#38111C212yesmaximal, complemented
11#37956C212yesmaximal, complemented
12#37948C212yesmaximal, complemented
13#37873C212yesmaximal, complemented
14#37861C212yesmaximal, complemented
15#37781C212yesmaximal, complemented
16#37696C212yesmaximal, complemented
17#37442C211yesmaximal, characteristic, complemented
18#37351C212yesmaximal, complemented
19#37338C212yesmaximal, complemented
20#36262C212yesmaximal, complemented
21#36129C212yesmaximal, complemented
22#35606C212yesmaximal, complemented
23#35526C212yesmaximal, complemented
24#35251C211yesmaximal, characteristic
25#35002C211yesmaximal, characteristic, complemented
26C2×#2432C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#551C2214yes—
32C2×#543C2212yes—
33C2×#542C2212yescomplemented
34C2×#537C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#533C2212yescomplemented
37C22×C4⋊Q8C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43#2862C2212yescomplemented
44#2860C2212yescomplemented
45#2857C2212yes—
46#2857C2212yes—
47#2857C2212yescomplemented
48#2854C2212yescomplemented
49#2848C2212yes—
50#2847C2212yes—
51#2814C2214yescomplemented
52#2799C2214yescomplemented
53#2798C2214yescomplemented
54#2788C2214yescomplemented
55#2788C2214yescomplemented
56#2787C2214yescomplemented
57#2784C2214yescomplemented
58#2782C2214yescomplemented
59#2781C2214yescomplemented
60#2781C2214yescomplemented
61#2779C2214yescomplemented
62#2778C2214yescomplemented
63#2768C2214yescomplemented
64#2759C2214yescomplemented
65#2757C2214yescomplemented
66#2755C2214yescomplemented
67#2753C2214yescomplemented
68#2745C2214yescomplemented
69#2744C2214yescomplemented
70#2742C2214yescomplemented
71#2730C2214yescomplemented
72#2728C2214yescomplemented
73#2723C2214yescomplemented
74#2722C2214yescomplemented
75#2715C2214yescomplemented
76#2715C2214yescomplemented
77#2712C2214yescomplemented
78#2711C2214yescomplemented
79#2710C2214yescomplemented
80#2708C2214yescomplemented
81#2704C2214yescomplemented
82#2702C2214yescomplemented
83#2702C2214yescomplemented
84#2700C2214yescomplemented
85#2696C2214yescomplemented
86#2695C2214yescomplemented
87#2689C2214yescomplemented
88#2686C2214yescomplemented
89#2681C2214yescomplemented
90#2681C2214yescomplemented
91#2672C2214yescomplemented
92#2659C2212yes—
93#2659C2212yes—
94#2659C2212yescomplemented
95#2645C2212yescomplemented
96#2640C2212yescomplemented
97#2639C2212yescomplemented
98#2627C2212yes—
99#2625C2212yescomplemented
100#2625C2212yescomplemented
101#2620C2212yescomplemented
102#2618C2212yes—
103#2616C2212yes—
104#2616C2212yescomplemented
105#2615C2212yes—
106#2609C2214yescomplemented
107#2602C2214yescomplemented
108#2602C2214yescomplemented
109#2601C2214yescomplemented
110#2599C2214yescomplemented
111#2598C2214yescomplemented
112#2595C2214yescomplemented
113#2583C2214yescomplemented
114#2577C2214yescomplemented
115#2576C2214yescomplemented
116#2574C2214yescomplemented
117#2561C2214yes—
118#2560C2214yescomplemented
119#2560C2214yescomplemented
120#2559C2214yescomplemented
121#2557C2214yescomplemented
122#2550C2214yescomplemented
123#2549C2214yescomplemented
124#2549C2214yescomplemented
125#2549C2214yescomplemented
126#2536C2214yescomplemented
127#2534C2214yes—
128#2512C2212yescomplemented
129#2511C2212yescomplemented
130#2505C2214yescomplemented
131#2498C2214yes—
132#2493C2214yes—
133#2492C2212yescomplemented
134#2492C2214yescomplemented
135#2491C2212yescomplemented
136#2488C2214yes—
137#2486C2212yes—
138#2480C2214yes—
139#2478C2214yescomplemented
140#2477C2214yescomplemented
141#2476C2214yescomplemented
142#2476C2214yescomplemented
143#2474C2214yescomplemented
144#2473C2214yescomplemented
145#2472C2214yes—
146#2468C2214yescomplemented
147#2465C2214yescomplemented
148#2463C2214yescomplemented
149#2461C2214yescomplemented
150#2460C2214yescomplemented
151#2452C2212yescomplemented
152#2451C2212yescomplemented
153#2451C2214yescomplemented
154#2449C2214yescomplemented
155#2448C2212yescomplemented
156#2447C2212yescomplemented
157#2446C2212yescomplemented
158#2446C2212yescomplemented
159#2442C2214yes—
160#2440C2212yescomplemented
161#2440C2212yescomplemented
162#2440C2212yescomplemented
163#2440C2212yescomplemented
164#2439C2214yescomplemented
165#2438C2214yes—
166#2438C2214yescomplemented
167#2437C2214yes—
168#2432C2212yes—
169#2432C2212yes—
170#2432C2214yes—
171#2432C2214yes—
172#2432C2212yes—
173#2432C2212yes—
174#2430C2214yes—
175#2429C2212yescomplemented
176#2429C2212yescomplemented
177#2427C2214yescomplemented
178#2427C2212yescomplemented
179#2426C2214yescomplemented
180#2426C2212yescomplemented
181#2425C2214yescomplemented
182#2423C2212yescomplemented
183#2422C2212yescomplemented
184#2417C2214yes—
185#2417C2212yescomplemented
186#2417C2212yescomplemented
187#2415C2214yescomplemented
188#2413C2214yescomplemented
189#2412C2214yes—
190#2412C2214yes—
191#2410C2214yes—
192#2409C2212yes—
193#2409C2212yes—
194#2408C2212yes—
195#2407C2212yes—
196#2407C2212yes—
197C2×#394C2212yes—
198C2×#394C2212yes—
199#2378C2214yescomplemented
200#2360C2214yes—
201#2360C2212yescomplemented
202#2360C2212yescomplemented
203#2352C2214yes—
204#2344C2212yes—
205#2342C2214yes—
206#2342C2214yes—
207#2341C2212yes—
208Q8×C22⋊C4C2212yes—
209Q8×C22⋊C4C2212yes—
210#2339C2212yes—
211#2339C2214yes—
212D4×C22⋊C4C2214yes—
213D4×C22⋊C4C2212yes—
214#2335C2212yescomplemented
215#2335C2212yescomplemented
216#2333C2212yescomplemented
217#2332C2212yescomplemented
218#2329C2211yescharacteristic
219#2329C2211yescharacteristic
220#2329C2212yescomplemented
221#2329C2212yescomplemented
222#2326C2212yescomplemented
223#2325C2211yescharacteristic
224#2325C2211yescharacteristic
225#2323C2212yescomplemented
226#2323C2212yescomplemented
227#2323C2212yescomplemented
228#2321C2212yes—
229#2321C2212yes—
230#2320C2212yescomplemented
231#2316C2212yes—
232#2315C2212yes—
233#2313C2212yes—
234#2311C2211yescharacteristic
235#2311C2212yes—
236#2311C2212yes—
237#2311C2211yescharacteristic
238#2311C2211yescharacteristic
239#2311C2211yescharacteristic
240C4×C4⋊Q8C2212yescomplemented
241C4×#121C2212yescomplemented
242#2298C2212yescomplemented
243#2297C2212yescomplemented
244C2×#391C2211yescharacteristic
245#2293C2212yescomplemented
246#2293C2212yescomplemented
247C2×#390C2211yescharacteristic
248#2290C2212yes—
249#2290C2212yescomplemented
250C2×#385C2212yes—
251C2×#385C2212yes—
252#2280C2211yescharacteristic
253#2280C2212yes—
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2212yes—
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C24×C4C2312yes—
274C24×C4C2311yescharacteristic
275#551—416no—
276#543—48no—
277#542—48no—
278#537—44no—
279#537—44no—
280#533—48no—
281C2×C4⋊Q8—44no—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2314yes—
291C2×#124—44no—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—28no—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8—28no—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#120C2312yes—
334C2×#120C2314yes—
335#520—44no—
336#520—44no—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2314yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383#401C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2312yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#384C2312yes—
646#384C2312yes—
647#383C2314yes—
648#382C2314yes—
649#382C2314yes—
650#382C2314yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#381C2312yes—
655#381C2314yes—
656#380C2311yescharacteristic
657#380C2311yescharacteristic
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2311yescharacteristic
672#380C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C2×#95C2312yes—
725C2×#95C2312yes—
726C43C2312yes—
727C25C2412yes—
728C25C2411yescharacteristic
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—28no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—28no—
739C2×#41—24no—
740C2×#41—42no—
741C2×#41—42no—
742C2×#41—44no—
743C2×#41—44no—
744C2×#41—42no—
745C2×#41—44no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—44no—
750C2×#41—464no—
751C22×Q8—24no—
752C22×Q8—24no—
753C22×Q8—24no—
754C22×Q8—42no—
755C22×Q8—42no—
756C22×Q8—42no—
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2411yescharacteristic
761C22×Q8C2414yes—
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×Q8C2414yes—
765C22×D4—28no—
766C22×D4—24no—
767C22×D4—24no—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2411yescharacteristic
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2412yes—
783C22×D4C2414yes—
784C23×C4—28no—
785C23×C4—42no—
786C23×C4—42no—
787C23×C4—44no—
788C23×C4—44no—
789C23×C4#4118yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C4⋊Q8—28no—
817C4⋊Q8—44no—
818C4⋊Q8—44no—
819C4⋊Q8—44no—
820C4⋊Q8—48no—
821#126—48no—
822#126—48no—
823#126—48no—
824#125—48no—
825#124—28no—
826#124—44no—
827#124—48no—
828#124—48no—
829#124—48no—
830#123—28no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—28no—
839C22⋊Q8—28no—
840C22⋊Q8—24no—
841C22⋊Q8—24no—
842C22⋊Q8—216no—
843C22⋊Q8—44no—
844C22⋊Q8—48no—
845C22⋊Q8—48no—
846C22⋊Q8—48no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—48no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856#121—28no—
857#121—24no—
858#121—24no—
859#121—44no—
860#121—48no—
861#121—48no—
862#121—44no—
863#121—44no—
864#120—28no—
865#120—48no—
866C4×Q8—28no—
867C4×Q8—48no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—44no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880#117—24no—
881#117—42no—
882#117—42no—
883#117—44no—
884#117—44no—
885#117—48no—
886#117—48no—
887#117—44no—
888#117—48no—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—28no—
891C2×C4⋊C4—42no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—42no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—42no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C22⋊C4—28no—
952C2×C22⋊C4—24no—
953C2×C22⋊C4—28no—
954C2×C22⋊C4—28no—
955C2×C22⋊C4—24no—
956C2×C22⋊C4—44no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—42no—
1015C2×C42—42no—
1016C2×C42—44no—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—22no—
1093C24—22no—
1094C24—24no—
1095C24—24no—
1096C24—24no—
1097C24—24no—
1098C24—41no—
1099C24—42no—
1100C24—41no—
1101C24—41no—
1102C24—41no—
1103C24—42no—
1104C24—42no—
1105C24C2×#4114yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C24C2511yescharacteristic
1110C24C2512yes—
1111C24C2511yescharacteristic
1112#41—232no—
1113#41—416no—
1114#41—416no—
1115#41—432no—
1116#41—416no—
1117#41—432no—
1118#41—88no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×Q8—22no—
1123C2×Q8—24no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—24no—
1127C2×Q8—24no—
1128C2×Q8—22no—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—28no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—416no—
1143C2×Q8—88no—
1144C2×Q8H(5,𝔽2)14yes—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—22no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—416no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—432no—
1185C2×D4H(5,𝔽2)14yes—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—416no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—432no—
1258C22×C4C2×#4114yes—
1259C22×C4C2×#4114yes—
1260C22×C4C2×#4114yes—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C4C2×#4114yes—
1264C22×C4H(5,𝔽2)14yes—
1265C22×C42−1+414yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—28no—
1401C42—24no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—28no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—44no—
1451C23—44no—
1452C23—48no—
1453C23—48no—
1454C23—48no—
1455C23—48no—
1456C23—84no—
1457C23—82no—
1458C23—84no—
1459C23—82no—
1460C23—84no—
1461C23—82no—
1462C23—82no—
1463C23C22×#4112yes—
1464C23C22×#4112yes—
1465C23C22×#4112yes—
1466C23C2×H(5,𝔽2)14yes—
1467C23C2×H(5,𝔽2)12yes—
1468C23C2×2−1+412yes—
1469C23C2611yescharacteristic
1470Q8—28no—
1471Q8—48no—
1472Q8—44no—
1473Q8—48no—
1474Q8—88no—
1475Q8—84no—
1476Q8—82no—
1477Q8—164no—
1478D4—216no—
1479D4—28no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—44no—
1486D4—82no—
1487D4—84no—
1488D4—88no—
1489D4—84no—
1490D4—164no—
1491C2×C4—216no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—28no—
1505C2×C4—28no—
1506C2×C4—28no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—24no—
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—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—164no—
1573C2×C4—162no—
1574C2×C4—162no—
1575C2×C4—162no—
1576C2×C4—162no—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C2×H(5,𝔽2)14yes—
1582C2×C4C2×H(5,𝔽2)14yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×2−1+414yes—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—24no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—24no—
1600C22—24no—
1601C22—42no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—88no—
1628C22—816no—
1629C22#351114yes—
1630C22C23×#4111yescharacteristic
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×2−1+411yescharacteristic
1635C222−1+611yescharacteristic
1636C222−1+611yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—24no—
1641C4—24no—
1642C4—24no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—44no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4#349014yes—
1660C2—24no—
1661C2—42no—
1662C2—44no—
1663C2—42no—
1664C2—82no—
1665C2—82no—
1666C2C2×#349011yescharacteristic
1667C2C2×#351111yescharacteristic
1668C2#6286011yescharacteristic
1669C2#6289311yescharacteristic
1670C2#6289511yescharacteristic
1671C2#6291411yescharacteristic
1672C2#6291511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35251C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48016C2semidirect
2. #48014C2semidirect
3. #47030C2semidirect
4. #46450C2semidirect
5. #43054C2semidirect
6. #43024C2semidirect
7. #39432C2semidirect
8. #39065C2semidirect
9. #38248C2semidirect
10. #38111C2semidirect
11. #37956C2semidirect
12. #37948C2semidirect
13. #37873C2semidirect
14. #37861C2semidirect
15. #37781C2semidirect
16. #37696C2semidirect
17. #37442C2semidirect
18. #37351C2semidirect
19. #37338C2semidirect
20. #36262C2semidirect
21. #36129C2semidirect
22. #35606C2semidirect
23. #35526C2semidirect
25. #35002C2semidirect
26. C2×#2432C2semidirect
27. #34380C2semidirect
28. #34175C2semidirect
29. #34082C2semidirect
33. C2×#542C22semidirect
36. C2×#533C22semidirect
43. #2862C22semidirect
44. #2860C22semidirect
47. #2857C22semidirect
48. #2854C22semidirect
51. #2814C22semidirect
52. #2799C22semidirect
53. #2798C22semidirect
54. #2788C22semidirect
55. #2788C22semidirect
56. #2787C22semidirect
57. #2784C22semidirect
58. #2782C22semidirect
59. #2781C22semidirect
60. #2781C22semidirect
61. #2779C22semidirect
62. #2778C22semidirect
63. #2768C22semidirect
64. #2759C22semidirect
65. #2757C22semidirect
66. #2755C22semidirect
67. #2753C22semidirect
68. #2745C22semidirect
69. #2744C22semidirect
70. #2742C22semidirect
71. #2730C22semidirect
72. #2728C22semidirect
73. #2723C22semidirect
74. #2722C22semidirect
75. #2715C22semidirect
76. #2715C22semidirect
77. #2712C22semidirect
78. #2711C22semidirect
79. #2710C22semidirect
80. #2708C22semidirect
81. #2704C22semidirect
82. #2702C22semidirect
83. #2702C22semidirect
84. #2700C22semidirect
85. #2696C22semidirect
86. #2695C22semidirect
87. #2689C22semidirect
88. #2686C22semidirect
89. #2681C22semidirect
90. #2681C22semidirect
91. #2672C22semidirect
94. #2659C22semidirect
95. #2645C22semidirect
96. #2640C22semidirect
97. #2639C22semidirect
99. #2625C22semidirect
100. #2625C22semidirect
101. #2620C22semidirect
104. #2616C22semidirect
106. #2609C22semidirect
107. #2602C22semidirect
108. #2602C22semidirect
109. #2601C22semidirect
110. #2599C22semidirect
111. #2598C22semidirect
112. #2595C22semidirect
113. #2583C22semidirect
114. #2577C22semidirect
115. #2576C22semidirect
116. #2574C22semidirect
118. #2560C22semidirect
119. #2560C22semidirect
120. #2559C22semidirect
121. #2557C22semidirect
122. #2550C22semidirect
123. #2549C22semidirect
124. #2549C22semidirect
125. #2549C22semidirect
126. #2536C22semidirect
128. #2512C22semidirect
129. #2511C22semidirect
130. #2505C22semidirect
133. #2492C22semidirect
134. #2492C22semidirect
135. #2491C22semidirect
139. #2478C22semidirect
140. #2477C22semidirect
141. #2476C22semidirect
142. #2476C22semidirect
143. #2474C22semidirect
144. #2473C22semidirect
146. #2468C22semidirect
147. #2465C22semidirect
148. #2463C22semidirect
149. #2461C22semidirect
150. #2460C22semidirect
151. #2452C22semidirect
152. #2451C22semidirect
153. #2451C22semidirect
154. #2449C22semidirect
155. #2448C22semidirect
156. #2447C22semidirect
157. #2446C22semidirect
158. #2446C22semidirect
160. #2440C22semidirect
161. #2440C22semidirect
162. #2440C22semidirect
163. #2440C22semidirect
164. #2439C22semidirect
166. #2438C22semidirect
175. #2429C22semidirect
176. #2429C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
181. #2425C22semidirect
182. #2423C22semidirect
183. #2422C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
187. #2415C22semidirect
188. #2413C22semidirect
199. #2378C22semidirect
201. #2360C22semidirect
202. #2360C22semidirect
214. #2335C22semidirect
215. #2335C22semidirect
216. #2333C22semidirect
217. #2332C22semidirect
220. #2329C22semidirect
221. #2329C22semidirect
222. #2326C22semidirect
225. #2323C22semidirect
226. #2323C22semidirect
227. #2323C22semidirect
230. #2320C22semidirect
240. C4×C4⋊Q8C22semidirect
241. C4×#121C22semidirect
242. #2298C22semidirect
243. #2297C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
249. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#480162
#480142
#470302
#464502
#430542
#430242
#394322
#390652
#382482
#381112
#379562
#379482
#378732
#378612
#377812
#376962
#374422
#373512
#373382
#362622
#361292
#356062
#355262
#352512
#350022
C2×#24322
#343802
#341752
#340822