Finite Group Databasebeta

← #7655947

Subgroups — #7655947

Order 512.

5862 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42615C212yesmaximal, complemented
2#42609C212yesmaximal, complemented
3#42606C212yesmaximal, complemented
4#42566C212yesmaximal, complemented
5#41313C214yesmaximal, complemented
6#41311C214yesmaximal, complemented
7#41291C214yesmaximal, complemented
8#41231C214yesmaximal, complemented
9#39495C211yesmaximal, characteristic, complemented
10#39428C214yesmaximal, complemented
11#39358C211yesmaximal, characteristic, complemented
12#39338C212yesmaximal, complemented
13#37942C212yesmaximal, complemented
14#37746C212yesmaximal, complemented
15#37502C212yesmaximal, complemented
16#37482C214yesmaximal, complemented
17#36581C212yesmaximal, complemented
18#36176C211yesmaximal, characteristic, complemented
19#36117C211yesmaximal, characteristic, complemented
20#35995C212yesmaximal, complemented
21#35947C212yesmaximal, complemented
22#35916C212yesmaximal, complemented
23#35823C212yesmaximal, complemented
24#35005C211yesmaximal, characteristic, complemented
25#34984C212yesmaximal, complemented
26#34593C212yesmaximal, complemented
27#34570C211yesmaximal, characteristic, complemented
28#34290C212yesmaximal, complemented
29C2×#2361C211yesmaximal, characteristic, complemented
30C2×#553C2212yescomplemented
31C2×D42C2212yes—
32C2×#538C2212yescomplemented
33C2×#534C2212yes—
34C2×#534C2214yescomplemented
35C2×#529C2212yescomplemented
36C22×#121C2211yescharacteristic
37C2×#518C2212yescomplemented
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2212yescomplemented
40C23×C4⋊C4C2211yescharacteristic, complemented
41#2857C2211yescharacteristic, complemented
42#2856C2211yescharacteristic
43#2854C2212yes—
44#2854C2212yescomplemented
45#2847C2214yescomplemented
46#2847C2212yescomplemented
47#2837C2214yescomplemented
48#2836C2214yescomplemented
49#2827C2214yescomplemented
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2824C2214yescomplemented
53#2804C2212yescomplemented
54#2782C2214yescomplemented
55#2781C2214yescomplemented
56#2780C2214yescomplemented
57#2770C2214yescomplemented
58#2749C2214yescomplemented
59#2732C2212yescomplemented
60#2708C2214yescomplemented
61#2695C2214yescomplemented
62#2695C2214yescomplemented
63#2694C2214yescomplemented
64#2693C2214yescomplemented
65#2691C2214yescomplemented
66#2688C2214yescomplemented
67#2685C2214yescomplemented
68#2684C2214yescomplemented
69#2684C2214yescomplemented
70#2682C2212yescomplemented
71#2679C2212yescomplemented
72#2678C2214yescomplemented
73#2676C2214yescomplemented
74#2671C2214yescomplemented
75#2671C2214yescomplemented
76#2668C2214yescomplemented
77#2668C2214yescomplemented
78#2668C2214yescomplemented
79#2667C2214yescomplemented
80#2653C2212yescomplemented
81#2653C2214yescomplemented
82#2652C2212yescomplemented
83#2649C2212yescomplemented
84#2649C2214yescomplemented
85#2649C2214yescomplemented
86#2648C2212yescomplemented
87#2647C2212yescomplemented
88#2646C2211yescharacteristic, complemented
89#2646C2214yescomplemented
90#2644C2212yescomplemented
91#2643C2212yescomplemented
92#2643C2214yescomplemented
93#2639C2211yescharacteristic
94#2639C2212yescomplemented
95#2636C2214yescomplemented
96#2636C2214yescomplemented
97#2636C2214yescomplemented
98#2633C2214yescomplemented
99#2631C2214yescomplemented
100#2630C2214yescomplemented
101#2629C2212yescomplemented
102#2626C2211yescharacteristic, complemented
103#2626C2212yescomplemented
104#2626C2214yescomplemented
105#2624C2212yescomplemented
106#2623C2214yescomplemented
107#2622C2212yescomplemented
108#2622C2214yescomplemented
109#2618C2214yescomplemented
110#2617C2211yescharacteristic
111#2617C2212yes—
112#2617C2212yescomplemented
113#2613C2214yescomplemented
114#2603C2214yescomplemented
115#2595C2214yescomplemented
116#2591C2214yescomplemented
117#2580C2212yescomplemented
118#2579C2214yescomplemented
119#2571C2211yescharacteristic, complemented
120#2566C2212yescomplemented
121#2563C2211yescharacteristic, complemented
122#2559C2214yescomplemented
123#2559C2214yescomplemented
124#2557C2214yescomplemented
125#2557C2214yescomplemented
126#2553C2214yescomplemented
127#2552C2211yescharacteristic, complemented
128#2548C2211yescharacteristic, complemented
129#2537C2212yes—
130#2537C2212yes—
131#2535C2214yescomplemented
132#2534C2214yescomplemented
133#2532C2214yescomplemented
134#2530C2214yescomplemented
135#2513C2212yescomplemented
136#2512C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2505C2214yescomplemented
140#2504C2212yescomplemented
141#2501C2212yescomplemented
142#2497C2212yescomplemented
143#2496C2212yescomplemented
144#2495C2212yescomplemented
145#2491C2212yescomplemented
146#2488C2214yescomplemented
147#2487C2212yescomplemented
148#2486C2212yescomplemented
149#2481C2214yescomplemented
150#2481C2214yescomplemented
151#2480C2214yescomplemented
152#2479C2214yescomplemented
153#2470C2214yescomplemented
154#2468C2214yescomplemented
155#2464C2214yescomplemented
156#2458C2214yescomplemented
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2454C2212yescomplemented
160#2452C2212yescomplemented
161#2450C2214yescomplemented
162#2448C2212yescomplemented
163#2445C2212yescomplemented
164#2443C2214yescomplemented
165#2443C2214yescomplemented
166#2442C2212yescomplemented
167#2442C2212yescomplemented
168#2437C2214yescomplemented
169#2433C2212yescomplemented
170#2428C2212yes—
171#2428C2212yes—
172#2428C2212yescomplemented
173#2427C2214yescomplemented
174#2425C2214yescomplemented
175#2425C2214yescomplemented
176#2425C2214yescomplemented
177#2425C2214yescomplemented
178#2425C2214yescomplemented
179#2425C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2422C2212yescomplemented
186#2422C2212yescomplemented
187#2422C2212yescomplemented
188#2422C2212yescomplemented
189#2420C2212yescomplemented
190#2419C2214yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2416C2212yes—
194#2416C2212yescomplemented
195#2412C2214yescomplemented
196#2411C2214yescomplemented
197#2410C2214yes—
198#2408C2212yescomplemented
199#2408C2212yescomplemented
200#2408C2212yescomplemented
201#2405C2214yescomplemented
202#2401C2212yescomplemented
203#2398C2212yescomplemented
204#2398C2214yescomplemented
205#2397C2214yescomplemented
206#2395C2212yescomplemented
207#2392C2212yescomplemented
208#2392C2214yescomplemented
209#2392C2214yescomplemented
210#2369C2211yescharacteristic, complemented
211#2366C2211yescharacteristic, complemented
212#2366C2212yescomplemented
213#2364C2214yescomplemented
214#2363C2212yescomplemented
215#2361C2214yescomplemented
216#2361C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2214yescomplemented
221#2361C2212yescomplemented
222#2361C2212yescomplemented
223#2358C2214yescomplemented
224#2358C2214yescomplemented
225#2354C2212yescomplemented
226#2354C2211yescharacteristic, complemented
227#2352C2212yescomplemented
228#2352C2212yescomplemented
229Q8×C4⋊C4C2211yescharacteristic, complemented
230#2349C2212yescomplemented
231#2346C2212yescomplemented
232#2345C2212yescomplemented
233D4×C22⋊C4C2212yes—
234D4×C22⋊C4C2214yescomplemented
235D4×C22⋊C4C2212yescomplemented
236#2328C2212yescomplemented
237#2325C2212yescomplemented
238#2325C2214yescomplemented
239#2324C2212yescomplemented
240#2321C2214yescomplemented
241#2315C2212yescomplemented
242C4×C22⋊Q8C2211yescharacteristic, complemented
243C4×#121C2211yescharacteristic
244C4×#121C2212yescomplemented
245C4×#120C2214yescomplemented
246C4×#120C2212yescomplemented
247C4×#120C2214yescomplemented
248C2×#390C2211yescharacteristic
249C2×#389C2211yescharacteristic, complemented
250#2290C2212yescomplemented
251C2×#388C2212yescomplemented
252C2×#386C2212yescomplemented
253C2×#386C2214yescomplemented
254C2×#385C2212yescomplemented
255#2283C2212yescomplemented
256#2275C2212yescomplemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C23×D4C2312yes—
260C23×D4C2312yes—
261C23×D4C2314yes—
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265C24×C4C2312yes—
266#553—48no—
267D42—216no—
268#538—48no—
269#534—48no—
270#534—416no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274#529—48no—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#125C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×#121—28no—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2311yescharacteristic
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2312yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324#518—48no—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×D4—48no—
328C2×C4×D4—44no—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C22×C4⋊C4—44no—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2314yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378#401C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2312yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2312yes—
649#384C2312yes—
650#383C2314yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2314yes—
656#381C2314yes—
657#381C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2311yescharacteristic
661#380C2312yes—
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2311yescharacteristic
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#379C2314yes—
678#379C2314yes—
679#379C2312yes—
680#379C2314yes—
681#379C2314yes—
682#379C2314yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2311yescharacteristic
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715#376C2312yes—
716#376C2314yes—
717C2×#95C2311yescharacteristic
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
725C25C2414yes—
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×D4—28no—
729C22×D4—28no—
730C22×D4—216no—
731C22×D4—28no—
732C22×D4—42no—
733C22×D4—44no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—48no—
738C22×D4—48no—
739C22×D4#4118yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C23×C4—24no—
760C23×C4—42no—
761C23×C4—42no—
762C23×C4—44no—
763C23×C4—44no—
764C23×C4—44no—
765C23×C4—44no—
766C23×C4—82no—
767C23×C4—82no—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2411yescharacteristic
789C4⋊Q8—42no—
790#127—28no—
791#127—42no—
792#126—48no—
793#126—48no—
794#126—48no—
795#125—44no—
796#125—44no—
797#124—44no—
798#124—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808C22⋊Q8—24no—
809C22⋊Q8—44no—
810C22⋊Q8—84no—
811#121—28no—
812#121—28no—
813#121—216no—
814#121—28no—
815#121—216no—
816#121—28no—
817#121—28no—
818#121—24no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—48no—
824#121—48no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—48no—
829#121—44no—
830#121—84no—
831#120—216no—
832#120—28no—
833#120—216no—
834#120—216no—
835#120—48no—
836#120—48no—
837#120—48no—
838#120—48no—
839#120—84no—
840C4×Q8—42no—
841C4×Q8—44no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—84no—
865C4×D4—84no—
866#117—28no—
867#117—44no—
868#117—48no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—28no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—48no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C22⋊C4—28no—
928C2×C22⋊C4—24no—
929C2×C22⋊C4—24no—
930C2×C22⋊C4—28no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4—48no—
935C2×C22⋊C4—84no—
936C2×C22⋊C4—82no—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42—28no—
1003C2×C42—42no—
1004C2×C42—42no—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—22no—
1075C24—22no—
1076C24—24no—
1077C24—24no—
1078C24—28no—
1079C24—41no—
1080C24—41no—
1081C24—41no—
1082C24—41no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24C2×#4118yes—
1094C24H(5,𝔽2)14yes—
1095C24C2512yes—
1096C24C2514yes—
1097C24C2514yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100C2×Q8—22no—
1101C2×Q8—41no—
1102C2×Q8—41no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—22no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—416no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—41no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—432no—
1163C2×D4—432no—
1164C2×D4—832no—
1165C2×D4C2×#4118yes—
1166C2×D4C2×#4118yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
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—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—41no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—416no—
1229C22×C4—816no—
1230C22×C4—816no—
1231C22×C4C2×#4114yes—
1232C22×C4H(5,𝔽2)14yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2514yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—41no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
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—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4H(5,𝔽2)14yes—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
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—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—28no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—41no—
1384C42—41no—
1385C42—42no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—24no—
1397C23—24no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—24no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—28no—
1406C23—216no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—44no—
1422C23—44no—
1423C23—48no—
1424C23—48no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—416no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—88no—
1435C23—88no—
1436C23—164no—
1437C23—164no—
1438C23—164no—
1439C23—164no—
1440C23C22×#4118yes—
1441C23C22×#4112yes—
1442C23C2×H(5,𝔽2)14yes—
1443C23C2×H(5,𝔽2)12yes—
1444C23C2×H(5,𝔽2)12yes—
1445C23C2611yescharacteristic
1446Q8—44no—
1447Q8—162no—
1448D4—216no—
1449D4—48no—
1450D4—416no—
1451D4—416no—
1452D4—416no—
1453D4—416no—
1454D4—48no—
1455D4—48no—
1456D4—82no—
1457D4—84no—
1458D4—88no—
1459D4—88no—
1460D4—84no—
1461D4—84no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—162no—
1466D4—164no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—28no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—48no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—164no—
1551C2×C4—164no—
1552C2×C4—164no—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)12yes—
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—28no—
1567C22—24no—
1568C22—28no—
1569C22—24no—
1570C22—24no—
1571C22—28no—
1572C22—416no—
1573C22—42no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22—44no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—42no—
1585C22—44no—
1586C22—42no—
1587C22—44no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—816no—
1596C22—1616no—
1597C22#351914yes—
1598C22C23×#4111yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22C22×H(5,𝔽2)11yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22H(7,𝔽2)11yescharacteristic
1604C222−1+611yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—24no—
1608C4—22no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4#345914yes—
1629C2—24no—
1630C2—44no—
1631C2—48no—
1632C2—84no—
1633C2—82no—
1634C2C2×#345911yescharacteristic
1635C2C2×#351911yescharacteristic
1636C2#6284711yescharacteristic
1637C2#6289511yescharacteristic
1638C2#6290111yescharacteristic
1639C2#6290511yescharacteristic
1640C2#6291211yescharacteristic
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. #42615C2semidirect
2. #42609C2semidirect
3. #42606C2semidirect
4. #42566C2semidirect
5. #41313C2semidirect
6. #41311C2semidirect
7. #41291C2semidirect
8. #41231C2semidirect
9. #39495C2semidirect
10. #39428C2semidirect
11. #39358C2semidirect
12. #39338C2semidirect
13. #37942C2semidirect
14. #37746C2semidirect
15. #37502C2semidirect
16. #37482C2semidirect
17. #36581C2semidirect
18. #36176C2semidirect
19. #36117C2semidirect
20. #35995C2semidirect
21. #35947C2semidirect
22. #35916C2semidirect
23. #35823C2semidirect
24. #35005C2semidirect
25. #34984C2semidirect
26. #34593C2semidirect
27. #34570C2semidirect
28. #34290C2semidirect
29. C2×#2361C2semidirect
30. C2×#553C22semidirect
32. C2×#538C22semidirect
34. C2×#534C22semidirect
35. C2×#529C22semidirect
37. C2×#518C22semidirect
39. C22×C4×D4C22semidirect
40. C23×C4⋊C4C22semidirect
41. #2857C22semidirect
44. #2854C22semidirect
45. #2847C22semidirect
46. #2847C22semidirect
47. #2837C22semidirect
48. #2836C22semidirect
49. #2827C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2824C22semidirect
53. #2804C22semidirect
54. #2782C22semidirect
55. #2781C22semidirect
56. #2780C22semidirect
57. #2770C22semidirect
58. #2749C22semidirect
59. #2732C22semidirect
60. #2708C22semidirect
61. #2695C22semidirect
62. #2695C22semidirect
63. #2694C22semidirect
64. #2693C22semidirect
65. #2691C22semidirect
66. #2688C22semidirect
67. #2685C22semidirect
68. #2684C22semidirect
69. #2684C22semidirect
70. #2682C22semidirect
71. #2679C22semidirect
72. #2678C22semidirect
73. #2676C22semidirect
74. #2671C22semidirect
75. #2671C22semidirect
76. #2668C22semidirect
77. #2668C22semidirect
78. #2668C22semidirect
79. #2667C22semidirect
80. #2653C22semidirect
81. #2653C22semidirect
82. #2652C22semidirect
83. #2649C22semidirect
84. #2649C22semidirect
85. #2649C22semidirect
86. #2648C22semidirect
87. #2647C22semidirect
88. #2646C22semidirect
89. #2646C22semidirect
90. #2644C22semidirect
91. #2643C22semidirect
92. #2643C22semidirect
94. #2639C22semidirect
95. #2636C22semidirect
96. #2636C22semidirect
97. #2636C22semidirect
98. #2633C22semidirect
99. #2631C22semidirect
100. #2630C22semidirect
101. #2629C22semidirect
102. #2626C22semidirect
103. #2626C22semidirect
104. #2626C22semidirect
105. #2624C22semidirect
106. #2623C22semidirect
107. #2622C22semidirect
108. #2622C22semidirect
109. #2618C22semidirect
112. #2617C22semidirect
113. #2613C22semidirect
114. #2603C22semidirect
115. #2595C22semidirect
116. #2591C22semidirect
117. #2580C22semidirect
118. #2579C22semidirect
119. #2571C22semidirect
120. #2566C22semidirect
121. #2563C22semidirect
122. #2559C22semidirect
123. #2559C22semidirect
124. #2557C22semidirect
125. #2557C22semidirect
126. #2553C22semidirect
127. #2552C22semidirect
128. #2548C22semidirect
131. #2535C22semidirect
132. #2534C22semidirect
133. #2532C22semidirect
134. #2530C22semidirect
135. #2513C22semidirect
136. #2512C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2505C22semidirect
140. #2504C22semidirect
141. #2501C22semidirect
142. #2497C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2491C22semidirect
146. #2488C22semidirect
147. #2487C22semidirect
148. #2486C22semidirect
149. #2481C22semidirect
150. #2481C22semidirect
151. #2480C22semidirect
152. #2479C22semidirect
153. #2470C22semidirect
154. #2468C22semidirect
155. #2464C22semidirect
156. #2458C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2454C22semidirect
160. #2452C22semidirect
161. #2450C22semidirect
162. #2448C22semidirect
163. #2445C22semidirect
164. #2443C22semidirect
165. #2443C22semidirect
166. #2442C22semidirect
167. #2442C22semidirect
168. #2437C22semidirect
169. #2433C22semidirect
172. #2428C22semidirect
173. #2427C22semidirect
174. #2425C22semidirect
175. #2425C22semidirect
176. #2425C22semidirect
177. #2425C22semidirect
178. #2425C22semidirect
179. #2425C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2422C22semidirect
187. #2422C22semidirect
188. #2422C22semidirect
189. #2420C22semidirect
190. #2419C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
194. #2416C22semidirect
195. #2412C22semidirect
196. #2411C22semidirect
198. #2408C22semidirect
199. #2408C22semidirect
200. #2408C22semidirect
201. #2405C22semidirect
202. #2401C22semidirect
203. #2398C22semidirect
204. #2398C22semidirect
205. #2397C22semidirect
206. #2395C22semidirect
207. #2392C22semidirect
208. #2392C22semidirect
209. #2392C22semidirect
210. #2369C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2364C22semidirect
214. #2363C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2354C22semidirect
226. #2354C22semidirect
227. #2352C22semidirect
228. #2352C22semidirect
229. Q8×C4⋊C4C22semidirect
230. #2349C22semidirect
231. #2346C22semidirect
232. #2345C22semidirect
234. D4×C22⋊C4C22semidirect
235. D4×C22⋊C4C22semidirect
236. #2328C22semidirect
237. #2325C22semidirect
238. #2325C22semidirect
239. #2324C22semidirect
240. #2321C22semidirect
241. #2315C22semidirect
242. C4×C22⋊Q8C22semidirect
244. C4×#121C22semidirect
245. C4×#120C22semidirect
246. C4×#120C22semidirect
247. C4×#120C22semidirect
249. C2×#389C22semidirect
250. #2290C22semidirect
251. C2×#388C22semidirect
252. C2×#386C22semidirect
253. C2×#386C22semidirect
254. C2×#385C22semidirect
255. #2283C22semidirect
256. #2275C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#426152
#426092
#426062
#425662
#413132
#413112
#412912
#412312
#394952
#394282
#393582
#393382
#379422
#377462
#375022
#374822
#365812
#361762
#361172
#359952
#359472
#359162
#358232
#350052
#349842
#345932
#345702
#342902
C2×#23612