Finite Group Databasebeta

← #7763637

Subgroups — #7763637

Order 512.

6258 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59677C212yesmaximal, complemented
2#59405C212yesmaximal, complemented
3#59131C212yesmaximal, complemented
4#59003C212yesmaximal, complemented
5#50850C214yesmaximal, complemented
6#48518C214yesmaximal, complemented
7#46807C214yesmaximal, complemented
8#46798C214yesmaximal, complemented
9#45647C212yesmaximal, complemented
10#45646C212yesmaximal, complemented
11#43019C214yesmaximal, complemented
12#40733C214yesmaximal, complemented
13#40125C212yesmaximal, complemented
14#39885C212yesmaximal, complemented
15#39548C212yesmaximal, complemented
16#39503C211yesmaximal, characteristic, complemented
17#39358C212yesmaximal, complemented
18#39358C211yesmaximal, characteristic, complemented
19#39237C212yesmaximal, complemented
20#39120C212yesmaximal, complemented
21#36759C212yesmaximal, complemented
22#36576C211yesmaximal, characteristic, complemented
23#36544C211yesmaximal, characteristic, complemented
24#36097C212yesmaximal, complemented
25D4×#121C212yesmaximal, complemented
26#35005C211yesmaximal, characteristic, complemented
27C2×#2426C211yesmaximal, characteristic, complemented
28#34437C212yesmaximal, complemented
29C4×#534C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×D42C2214yescomplemented
35C2×D42C2212yescomplemented
36C2×#538C2212yescomplemented
37C2×#534C2211yescharacteristic
38C2×#534C2212yes—
39C22×#124C2211yescharacteristic, complemented
40C2×#525C2212yescomplemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic
43C22×#121C2212yescomplemented
44C22×C4×Q8C2211yescharacteristic, complemented
45C22×C4×D4C2212yescomplemented
46#2857C2211yescharacteristic, complemented
47#2856C2212yescomplemented
48#2856C2212yescomplemented
49#2856C2211yescharacteristic, complemented
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yescomplemented
53#2847C2212yescomplemented
54#2847C2212yescomplemented
55#2829C2214yescomplemented
56#2826C2214yescomplemented
57#2808C2212yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2800C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2796C2214yescomplemented
64#2793C2214yescomplemented
65#2784C2214yescomplemented
66#2780C2214yescomplemented
67#2779C2214yescomplemented
68#2779C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2733C2212yescomplemented
73#2714C2214yescomplemented
74#2711C2214yescomplemented
75#2711C2214yescomplemented
76#2709C2214yescomplemented
77#2701C2214yescomplemented
78#2699C2214yescomplemented
79#2697C2214yescomplemented
80#2691C2214yescomplemented
81#2686C2214yescomplemented
82#2685C2214yescomplemented
83#2685C2214yescomplemented
84#2682C2214yescomplemented
85#2682C2214yescomplemented
86#2682C2212yescomplemented
87#2679C2214yescomplemented
88#2679C2212yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2673C2214yescomplemented
96#2672C2214yescomplemented
97#2670C2214yescomplemented
98#2668C2214yescomplemented
99#2662C2214yescomplemented
100#2648C2214yescomplemented
101#2639C2212yescomplemented
102#2630C2214yescomplemented
103#2626C2214yescomplemented
104#2617C2212yescomplemented
105#2617C2212yescomplemented
106#2617C2212yescomplemented
107#2608C2214yescomplemented
108#2602C2214yescomplemented
109#2597C2214yescomplemented
110#2587C2214yescomplemented
111#2584C2212yescomplemented
112#2580C2212yescomplemented
113#2567C2211yescharacteristic, complemented
114#2559C2214yescomplemented
115#2559C2214yescomplemented
116#2559C2214yescomplemented
117#2559C2214yescomplemented
118#2557C2214yescomplemented
119#2555C2214yescomplemented
120#2555C2214yescomplemented
121#2548C2211yescharacteristic, complemented
122#2548C2212yescomplemented
123#2544C2212yescomplemented
124#2541C2212yes—
125#2540C2212yescomplemented
126#2540C2212yescomplemented
127#2538C2211yescharacteristic, complemented
128#2538C2212yescomplemented
129#2538C2211yescharacteristic, complemented
130#2537C2212yescomplemented
131#2536C2212yescomplemented
132#2534C2214yescomplemented
133#2513C2212yescomplemented
134#2512C2212yescomplemented
135#2509C2212yescomplemented
136#2500C2212yescomplemented
137#2497C2212yescomplemented
138#2496C2212yescomplemented
139#2491C2212yescomplemented
140#2491C2212yescomplemented
141#2485C2212yescomplemented
142#2481C2214yescomplemented
143#2472C2214yescomplemented
144#2472C2214yescomplemented
145#2472C2214yescomplemented
146#2466C2214yescomplemented
147#2465C2214yescomplemented
148#2463C2214yescomplemented
149#2461C2214yescomplemented
150#2457C2214yescomplemented
151#2456C2214yescomplemented
152#2449C2214yescomplemented
153#2449C2214yescomplemented
154#2445C2212yescomplemented
155#2445C2214yescomplemented
156#2444C2214yescomplemented
157#2443C2214yescomplemented
158#2435C2214yescomplemented
159#2435C2212yescomplemented
160#2433C2212yescomplemented
161#2433C2214yescomplemented
162#2431C2212yescomplemented
163#2428C2214yescomplemented
164#2428C2212yescomplemented
165#2428C2214yescomplemented
166#2427C2212yescomplemented
167#2426C2212yescomplemented
168#2426C2212yescomplemented
169#2426C2212yescomplemented
170#2426C2212yescomplemented
171#2426C2212yescomplemented
172#2426C2214yescomplemented
173#2426C2212yescomplemented
174#2426C2214yescomplemented
175#2426C2214yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2424C2214yescomplemented
180#2423C2212yescomplemented
181#2422C2212yescomplemented
182#2422C2214yescomplemented
183#2422C2212yescomplemented
184#2420C2212yescomplemented
185#2418C2214yescomplemented
186#2416C2212yes—
187#2416C2212yescomplemented
188#2416C2214yescomplemented
189#2416C2214yescomplemented
190#2416C2212yescomplemented
191#2416C2212yescomplemented
192#2416C2214yescomplemented
193#2415C2212yescomplemented
194#2414C2212yescomplemented
195#2410C2214yescomplemented
196#2410C2214yescomplemented
197#2410C2214yescomplemented
198#2410C2214yescomplemented
199#2410C2214yescomplemented
200#2410C2214yescomplemented
201#2409C2212yescomplemented
202#2408C2212yescomplemented
203#2408C2212yescomplemented
204#2408C2212yescomplemented
205#2408C2214yescomplemented
206#2407C2212yescomplemented
207C2×#396C2212yescomplemented
208C2×#394C2212yescomplemented
209#2376C2214yescomplemented
210#2375C2214yescomplemented
211#2374C2214yescomplemented
212#2367C2212yescomplemented
213#2364C2214yescomplemented
214#2363C2212yescomplemented
215#2361C2214yescomplemented
216#2360C2212yescomplemented
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2355C2211yescharacteristic, complemented
220#2352C2212yescomplemented
221Q8×C4⋊C4C2211yescharacteristic, complemented
222D4×C4⋊C4C2212yescomplemented
223#2345C2212yescomplemented
224#2341C2212yescomplemented
225D4×C22⋊C4C2214yescomplemented
226D4×C22⋊C4C2214yescomplemented
227#2335C2214yescomplemented
228#2335C2214yescomplemented
229#2325C2211yescharacteristic
230#2325C2212yescomplemented
231#2325C2211yescharacteristic, complemented
232#2325C2212yescomplemented
233#2322C2212yescomplemented
234#2322C2212yescomplemented
235#2321C2212yescomplemented
236#2321C2212yescomplemented
237#2321C2214yescomplemented
238#2321C2214yescomplemented
239#2315C2211yescharacteristic, complemented
240#2312C2212yescomplemented
241#2308C2212yescomplemented
242C4×C22⋊Q8C2212yescomplemented
243C4×#123C2212yescomplemented
244C4×#123C2212yescomplemented
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C4×#121C2212yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2211yescharacteristic, complemented
251C4×#121C2212yescomplemented
252C4×#120C2212yescomplemented
253C4×#120C2212yescomplemented
254C2×#390C2211yescharacteristic, complemented
255C2×#390C2212yescomplemented
256C2×#389C2211yescharacteristic, complemented
257C2×#388C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C24×C4C2311yescharacteristic
268C24×C4C2312yes—
269#554—44no—
270#550—44no—
271#548—48no—
272#546—48no—
273D42—48no—
274D42—416no—
275#538—48no—
276#534—28no—
277#534—216no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#124—44no—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294#525—48no—
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8—44no—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×#121—44no—
313C2×#121—48no—
314C2×#121C2311yescharacteristic
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#120C2314yes—
345C2×#120C2312yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×C4×Q8—44no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×D4—48no—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2312yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
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#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#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#382C2312yes—
672#382C2312yes—
673#381C2312yes—
674#381C2312yes—
675#381C2314yes—
676#380C2311yescharacteristic
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#379C2312yes—
692#379C2312yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C2×#95C2311yescharacteristic
726C2×#95C2311yescharacteristic
727C2×#95C2312yes—
728C25C2412yes—
729C25C2412yes—
730C25C2411yescharacteristic
731C25C2414yes—
732C2×#41—28no—
733C2×#41—44no—
734C2×#41—44no—
735C22×Q8—24no—
736C22×Q8—24no—
737C22×Q8—42no—
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×Q8C2411yescharacteristic
741C22×Q8C2412yes—
742C22×D4—28no—
743C22×D4—28no—
744C22×D4—28no—
745C22×D4—216no—
746C22×D4—24no—
747C22×D4—42no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—48no—
751C22×D4—42no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4—82no—
759C22×D4—84no—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2411yescharacteristic
786C23×C4—24no—
787C23×C4—44no—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4—42no—
791C23×C4—44no—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C4⋊Q8—42no—
815#127—44no—
816#127—42no—
817#127—44no—
818#127—48no—
819#126—48no—
820#126—84no—
821#125—44no—
822#124—28no—
823#124—44no—
824#124—44no—
825#124—48no—
826#124—48no—
827#124—48no—
828#124—84no—
829#123—28no—
830#123—216no—
831#123—28no—
832#123—216no—
833#123—48no—
834#123—48no—
835#123—48no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—44no—
839C22⋊Q8—48no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844C22⋊Q8—44no—
845#121—28no—
846#121—216no—
847#121—24no—
848#121—28no—
849#121—28no—
850#121—28no—
851#121—28no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—84no—
873#121—84no—
874#121#4118yescomplemented
875#120—216no—
876#120—28no—
877#120—216no—
878#120—28no—
879#120—216no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—84no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—48no—
916#117—44no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—82no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C22⋊C4—24no—
970C2×C22⋊C4—24no—
971C2×C22⋊C4—28no—
972C2×C22⋊C4—44no—
973C2×C22⋊C4—44no—
974C2×C22⋊C4—48no—
975C2×C22⋊C4—44no—
976C2×C22⋊C4—44no—
977C2×C22⋊C4—44no—
978C2×C22⋊C4—48no—
979C2×C22⋊C4—44no—
980C2×C22⋊C4—82no—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42—42no—
1055C2×C42—42no—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113C24—22no—
1114C24—22no—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—24no—
1120C24—28no—
1121C24—41no—
1122C24—42no—
1123C24—41no—
1124C24—42no—
1125C24—41no—
1126C24—42no—
1127C24—41no—
1128C24—42no—
1129C24—42no—
1130C24—44no—
1131C24—42no—
1132C24—42no—
1133C24—42no—
1134C24—42no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24H(5,𝔽2)14yes—
1141C24C2514yes—
1142C24C2512yes—
1143C24C2514yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2511yescharacteristic
1147#41—816no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—416no—
1160C2×Q8H(5,𝔽2)14yes—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—41no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—41no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—432no—
1238C2×D4—88no—
1239C2×D4—816no—
1240C2×D4—816no—
1241C2×D4—832no—
1242C2×D4—832no—
1243C2×D4C2×#4118yes—
1244C2×D4C2×#4114yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—88no—
1310C22×C4—816no—
1311C22×C4C2×#4114yes—
1312C22×C4H(5,𝔽2)14yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4H(5,𝔽2)14yes—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4C2×#4118yes—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—41no—
1463C42—41no—
1464C42—42no—
1465C42—42no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—28no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—44no—
1510C23—44no—
1511C23—48no—
1512C23—48no—
1513C23—48no—
1514C23—82no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—88no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—88no—
1529C23—88no—
1530C23—84no—
1531C23—84no—
1532C23—88no—
1533C23—88no—
1534C23—164no—
1535C23—164no—
1536C23C22×#4114yes—
1537C23C22×#4112yes—
1538C23C2×H(5,𝔽2)14yes—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2×H(5,𝔽2)12yes—
1541C23C2611yescharacteristic
1542Q8—28no—
1543Q8—48no—
1544Q8—44no—
1545Q8—162no—
1546D4—216no—
1547D4—44no—
1548D4—48no—
1549D4—416no—
1550D4—48no—
1551D4—48no—
1552D4—416no—
1553D4—48no—
1554D4—48no—
1555D4—82no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—164no—
1570D4—162no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—28no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—84no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—82no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—164no—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C2×H(5,𝔽2)14yes—
1658C2×C4C2×H(5,𝔽2)14yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—42no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—44no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—88no—
1705C22—816no—
1706C22—168no—
1707C22—1616no—
1708C22#351914yes—
1709C22C23×#4111yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22H(7,𝔽2)11yescharacteristic
1715C222−1+611yescharacteristic
1716C4—22no—
1717C4—24no—
1718C4—22no—
1719C4—22no—
1720C4—24no—
1721C4—24no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—44no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—44no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—44no—
1738C4#353714yes—
1739C2—24no—
1740C2—44no—
1741C2—44no—
1742C2—82no—
1743C2—84no—
1744C2—84no—
1745C2C2×#353711yescharacteristic
1746C2C2×#351911yescharacteristic
1747C2#6287811yescharacteristic
1748C2#6289211yescharacteristic
1749C2#6289511yescharacteristic
1750C2#6298411yescharacteristic
1751C2#6298611yescharacteristic
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. #59677C2semidirect
2. #59405C2semidirect
3. #59131C2semidirect
4. #59003C2semidirect
5. #50850C2semidirect
6. #48518C2semidirect
7. #46807C2semidirect
8. #46798C2semidirect
9. #45647C2semidirect
10. #45646C2semidirect
11. #43019C2semidirect
12. #40733C2semidirect
13. #40125C2semidirect
14. #39885C2semidirect
15. #39548C2semidirect
16. #39503C2semidirect
17. #39358C2semidirect
18. #39358C2semidirect
19. #39237C2semidirect
20. #39120C2semidirect
21. #36759C2semidirect
22. #36576C2semidirect
23. #36544C2semidirect
24. #36097C2semidirect
25. D4×#121C2semidirect
26. #35005C2semidirect
27. C2×#2426C2semidirect
28. #34437C2semidirect
29. C4×#534C2semidirect
30. C2×#554C22semidirect
31. C2×#550C22semidirect
32. C2×#548C22semidirect
33. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×#538C22semidirect
39. C22×#124C22semidirect
40. C2×#525C22semidirect
41. C22×C22⋊Q8C22semidirect
43. C22×#121C22semidirect
44. C22×C4×Q8C22semidirect
45. C22×C4×D4C22semidirect
46. #2857C22semidirect
47. #2856C22semidirect
48. #2856C22semidirect
49. #2856C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
52. #2848C22semidirect
53. #2847C22semidirect
54. #2847C22semidirect
55. #2829C22semidirect
56. #2826C22semidirect
57. #2808C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2800C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2796C22semidirect
64. #2793C22semidirect
65. #2784C22semidirect
66. #2780C22semidirect
67. #2779C22semidirect
68. #2779C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2733C22semidirect
73. #2714C22semidirect
74. #2711C22semidirect
75. #2711C22semidirect
76. #2709C22semidirect
77. #2701C22semidirect
78. #2699C22semidirect
79. #2697C22semidirect
80. #2691C22semidirect
81. #2686C22semidirect
82. #2685C22semidirect
83. #2685C22semidirect
84. #2682C22semidirect
85. #2682C22semidirect
86. #2682C22semidirect
87. #2679C22semidirect
88. #2679C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2673C22semidirect
96. #2672C22semidirect
97. #2670C22semidirect
98. #2668C22semidirect
99. #2662C22semidirect
100. #2648C22semidirect
101. #2639C22semidirect
102. #2630C22semidirect
103. #2626C22semidirect
104. #2617C22semidirect
105. #2617C22semidirect
106. #2617C22semidirect
107. #2608C22semidirect
108. #2602C22semidirect
109. #2597C22semidirect
110. #2587C22semidirect
111. #2584C22semidirect
112. #2580C22semidirect
113. #2567C22semidirect
114. #2559C22semidirect
115. #2559C22semidirect
116. #2559C22semidirect
117. #2559C22semidirect
118. #2557C22semidirect
119. #2555C22semidirect
120. #2555C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2544C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
129. #2538C22semidirect
130. #2537C22semidirect
131. #2536C22semidirect
132. #2534C22semidirect
133. #2513C22semidirect
134. #2512C22semidirect
135. #2509C22semidirect
136. #2500C22semidirect
137. #2497C22semidirect
138. #2496C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
141. #2485C22semidirect
142. #2481C22semidirect
143. #2472C22semidirect
144. #2472C22semidirect
145. #2472C22semidirect
146. #2466C22semidirect
147. #2465C22semidirect
148. #2463C22semidirect
149. #2461C22semidirect
150. #2457C22semidirect
151. #2456C22semidirect
152. #2449C22semidirect
153. #2449C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2444C22semidirect
157. #2443C22semidirect
158. #2435C22semidirect
159. #2435C22semidirect
160. #2433C22semidirect
161. #2433C22semidirect
162. #2431C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2427C22semidirect
167. #2426C22semidirect
168. #2426C22semidirect
169. #2426C22semidirect
170. #2426C22semidirect
171. #2426C22semidirect
172. #2426C22semidirect
173. #2426C22semidirect
174. #2426C22semidirect
175. #2426C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2424C22semidirect
180. #2423C22semidirect
181. #2422C22semidirect
182. #2422C22semidirect
183. #2422C22semidirect
184. #2420C22semidirect
185. #2418C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2414C22semidirect
195. #2410C22semidirect
196. #2410C22semidirect
197. #2410C22semidirect
198. #2410C22semidirect
199. #2410C22semidirect
200. #2410C22semidirect
201. #2409C22semidirect
202. #2408C22semidirect
203. #2408C22semidirect
204. #2408C22semidirect
205. #2408C22semidirect
206. #2407C22semidirect
207. C2×#396C22semidirect
208. C2×#394C22semidirect
209. #2376C22semidirect
210. #2375C22semidirect
211. #2374C22semidirect
212. #2367C22semidirect
213. #2364C22semidirect
214. #2363C22semidirect
215. #2361C22semidirect
216. #2360C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2355C22semidirect
220. #2352C22semidirect
221. Q8×C4⋊C4C22semidirect
222. D4×C4⋊C4C22semidirect
223. #2345C22semidirect
224. #2341C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. #2335C22semidirect
228. #2335C22semidirect
230. #2325C22semidirect
231. #2325C22semidirect
232. #2325C22semidirect
233. #2322C22semidirect
234. #2322C22semidirect
235. #2321C22semidirect
236. #2321C22semidirect
237. #2321C22semidirect
238. #2321C22semidirect
239. #2315C22semidirect
240. #2312C22semidirect
241. #2308C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×#123C22semidirect
244. C4×#123C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#120C22semidirect
253. C4×#120C22semidirect
254. C2×#390C22semidirect
255. C2×#390C22semidirect
256. C2×#389C22semidirect
257. C2×#388C22semidirect
258. C2×C4×C22⋊C4C22semidirect
874. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596772
#594052
#591312
#590032
#508502
#485182
#468072
#467982
#456472
#456462
#430192
#407332
#401252
#398852
#395482
#395032
#393582
#392372
#391202
#367592
#365762
#365442
#360972
D4×#1212
#350052
C2×#24262
#344372
C4×#5342