Finite Group Databasebeta

← #7801172

Subgroups — #7801172

Order 512.

6480 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59307C212yesmaximal, complemented
2#59126C212yesmaximal, complemented
3#49724C214yesmaximal, complemented
4#48685C214yesmaximal, complemented
5#48473C214yesmaximal, complemented
6#48143C214yesmaximal, complemented
7#45437C211yesmaximal, characteristic, complemented
8#45355C211yesmaximal, characteristic, complemented
9#44947C211yesmaximal, characteristic, complemented
10#44933C211yesmaximal, characteristic, complemented
11#43893C214yesmaximal, complemented
12#43837C214yesmaximal, complemented
13#43095C214yesmaximal, complemented
14#43010C214yesmaximal, complemented
15#40164C212yesmaximal, complemented
16#39396C212yesmaximal, complemented
17#39185C211yesmaximal, characteristic, complemented
18#38953C211yesmaximal, characteristic, complemented
19#38910C212yesmaximal, complemented
20#38026C212yesmaximal, complemented
21#37332C212yesmaximal, complemented
22#36498C211yesmaximal, characteristic, complemented
23#36260C211yesmaximal, characteristic, complemented
24#36022C211yesmaximal, characteristic, complemented
25#35730C211yesmaximal, characteristic, complemented
26#35691C211yesmaximal, characteristic, complemented
27#35691C211yesmaximal, characteristic, complemented
28#35268C211yesmaximal, characteristic, complemented
29#34880C211yesmaximal, characteristic, complemented
30#34471C212yesmaximal, complemented
31#34210C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2214yescomplemented
35C2×D42C2212yes—
36C2×D42C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic, complemented
38C2×D42C2214yescomplemented
39C2×D42C2212yescomplemented
40C2×D42C2212yescomplemented
41C2×#538C2214yescomplemented
42C22×#127C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#518C2211yescharacteristic, complemented
45C2×#518C2211yescharacteristic, complemented
46#2864C2211yescharacteristic, complemented
47#2860C2212yescomplemented
48#2858C2211yescharacteristic, complemented
49#2856C2212yescomplemented
50#2854C2212yescomplemented
51#2797C2214yescomplemented
52#2796C2214yescomplemented
53#2753C2214yescomplemented
54#2752C2214yescomplemented
55#2748C2214yescomplemented
56#2741C2214yescomplemented
57#2730C2214yescomplemented
58#2730C2214yescomplemented
59#2714C2214yescomplemented
60#2714C2214yescomplemented
61#2714C2214yescomplemented
62#2711C2214yescomplemented
63#2703C2214yescomplemented
64#2703C2214yescomplemented
65#2703C2214yescomplemented
66#2699C2214yescomplemented
67#2699C2214yescomplemented
68#2699C2214yescomplemented
69#2692C2214yescomplemented
70#2688C2214yescomplemented
71#2685C2214yescomplemented
72#2685C2214yescomplemented
73#2685C2214yescomplemented
74#2685C2214yescomplemented
75#2685C2214yescomplemented
76#2678C2214yescomplemented
77#2678C2214yescomplemented
78#2678C2214yescomplemented
79#2673C2214yescomplemented
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2671C2214yescomplemented
83#2670C2214yescomplemented
84#2670C2214yescomplemented
85#2670C2214yescomplemented
86#2670C2214yescomplemented
87#2669C2214yescomplemented
88#2669C2214yescomplemented
89#2668C2214yescomplemented
90#2668C2214yescomplemented
91#2638C2212yescomplemented
92#2636C2214yescomplemented
93#2635C2212yescomplemented
94#2635C2214yescomplemented
95#2628C2211yescharacteristic, complemented
96#2624C2212yescomplemented
97#2624C2212yescomplemented
98#2619C2211yescharacteristic
99#2619C2212yescomplemented
100#2617C2212yescomplemented
101#2617C2212yescomplemented
102#2597C2214yescomplemented
103#2596C2214yescomplemented
104#2580C2212yescomplemented
105#2570C2212yescomplemented
106#2564C2214yescomplemented
107#2563C2211yescharacteristic, complemented
108#2561C2212yescomplemented
109#2556C2212yescomplemented
110#2555C2214yescomplemented
111#2555C2214yescomplemented
112#2555C2212yescomplemented
113#2554C2214yescomplemented
114#2554C2212yescomplemented
115#2553C2212yescomplemented
116#2548C2212yescomplemented
117#2548C2212yescomplemented
118#2543C2212yescomplemented
119#2543C2212yescomplemented
120#2542C2211yescharacteristic, complemented
121#2541C2211yescharacteristic, complemented
122#2541C2211yescharacteristic, complemented
123#2541C2212yescomplemented
124#2541C2212yescomplemented
125#2540C2214yescomplemented
126#2540C2214yescomplemented
127#2539C2214yescomplemented
128#2539C2214yescomplemented
129#2539C2214yescomplemented
130#2539C2212yescomplemented
131#2538C2212yescomplemented
132#2535C2211yescharacteristic, complemented
133#2535C2211yescharacteristic, complemented
134#2535C2211yescharacteristic, complemented
135#2535C2212yescomplemented
136#2535C2211yescharacteristic, complemented
137#2521C2214yescomplemented
138#2521C2212yescomplemented
139#2519C2212yescomplemented
140#2516C2214yescomplemented
141#2516C2214yescomplemented
142#2501C2212yescomplemented
143#2500C2212yescomplemented
144#2497C2212yescomplemented
145#2496C2212yescomplemented
146#2490C2214yescomplemented
147#2482C2212yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2471C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2467C2214yescomplemented
154#2464C2212yescomplemented
155#2461C2212yescomplemented
156#2461C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2457C2214yescomplemented
160#2457C2214yescomplemented
161#2457C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2450C2214yescomplemented
165#2444C2214yescomplemented
166#2435C2214yescomplemented
167#2433C2214yescomplemented
168#2433C2212yescomplemented
169#2433C2212yescomplemented
170#2431C2214yescomplemented
171#2428C2212yescomplemented
172#2428C2214yescomplemented
173#2428C2212yescomplemented
174#2428C2212yescomplemented
175#2428C2212yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2422C2212yescomplemented
180#2420C2212yescomplemented
181#2418C2214yescomplemented
182#2418C2214yescomplemented
183#2416C2212yescomplemented
184#2414C2214yescomplemented
185#2414C2212yescomplemented
186#2414C2212yescomplemented
187#2414C2212yescomplemented
188#2410C2214yescomplemented
189#2410C2214yescomplemented
190#2410C2214yescomplemented
191#2408C2212yescomplemented
192#2408C2212yescomplemented
193#2408C2214yescomplemented
194#2408C2212yescomplemented
195#2408C2212yescomplemented
196#2408C2214yescomplemented
197#2408C2214yescomplemented
198#2408C2212yescomplemented
199#2408C2212yescomplemented
200#2405C2214yescomplemented
201#2404C2212yescomplemented
202#2403C2214yescomplemented
203#2403C2214yescomplemented
204#2403C2214yescomplemented
205#2403C2214yescomplemented
206#2399C2211yescharacteristic, complemented
207#2397C2211yescharacteristic, complemented
208#2395C2212yescomplemented
209#2392C2211yescharacteristic, complemented
210#2392C2211yescharacteristic, complemented
211#2388C2212yescomplemented
212C2×#392C2212yescomplemented
213C2×#392C2212yescomplemented
214#2377C2214yescomplemented
215#2375C2214yescomplemented
216#2374C2214yescomplemented
217#2366C2212yes—
218#2366C2214yescomplemented
219#2366C2214yescomplemented
220#2364C2214yescomplemented
221#2363C2212yescomplemented
222#2361C2212yescomplemented
223#2358C2214yescomplemented
224#2357C2211yescharacteristic, complemented
225#2357C2211yescharacteristic, complemented
226#2357C2212yescomplemented
227#2354C2212yescomplemented
228#2352C2212yescomplemented
229#2352C2212yescomplemented
230#2349C2211yescharacteristic, complemented
231#2349C2211yescharacteristic, complemented
232D4×C22⋊C4C2214yescomplemented
233D4×C22⋊C4C2214yescomplemented
234D4×C22⋊C4C2214yescomplemented
235D4×C22⋊C4C2212yescomplemented
236D4×C22⋊C4C2212yescomplemented
237#2333C2214yescomplemented
238#2331C2211yescharacteristic, complemented
239#2328C2211yescharacteristic
240#2328C2211yescharacteristic
241#2328C2211yescharacteristic, complemented
242#2328C2211yescharacteristic, complemented
243#2328C2211yescharacteristic, complemented
244#2324C2212yescomplemented
245#2321C2214yescomplemented
246#2321C2214yescomplemented
247#2321C2214yescomplemented
248#2319C2212yescomplemented
249#2309C2212yescomplemented
250#2309C2211yescharacteristic, complemented
251#2309C2211yescharacteristic, complemented
252#2308C2214yescomplemented
253C4×#127C2211yescharacteristic, complemented
254C4×#127C2211yescharacteristic, complemented
255C4×#127C2211yescharacteristic, complemented
256C4×#127C2211yescharacteristic, complemented
257C4×#124C2212yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261#2293C2211yescharacteristic, complemented
262C2×#390C2212yescomplemented
263#2290C2212yescomplemented
264#2285C2211yescharacteristic, complemented
265C42×D4C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2312yes—
272C23×D4C2314yes—
273C23×D4C2314yes—
274C23×D4C2312yes—
275C23×D4C2314yes—
276C23×D4C2314yes—
277C23×D4C2312yes—
278#555—44no—
279#547—44no—
280#546—416no—
281D42—216no—
282D42—44no—
283D42—44no—
284D42—48no—
285D42—48no—
286D42—416no—
287#538—416no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×#127—28no—
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#127C2314yes—
295C2×#127C2312yes—
296C2×#127C2312yes—
297C2×#127C2314yes—
298C2×#127C2311yescharacteristic
299#529—48no—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2314yes—
304C2×#125C2312yes—
305C2×#124C2312yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366#518—44no—
367#518—44no—
368C2×C4×Q8C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#399C2314yes—
429#399C2312yes—
430#399C2312yes—
431#398C2314yes—
432#398C2311yescharacteristic
433#398C2311yescharacteristic
434#398C2312yes—
435#398C2312yes—
436#397C2311yescharacteristic
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2311yescharacteristic
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#395C2312yes—
455#395C2312yes—
456#395C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2311yescharacteristic
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2311yescharacteristic
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2312yes—
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2311yescharacteristic
506#392C2311yescharacteristic
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2314yes—
530#391C2312yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#386C2312yes—
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#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#379C2314yes—
706#379C2314yes—
707#379C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742#376C2311yescharacteristic
743#376C2311yescharacteristic
744C2×#95C2312yes—
745C2×#95C2312yes—
746C43C2311yescharacteristic
747C43C2311yescharacteristic
748C25C2414yes—
749C25C2412yes—
750C25C2412yes—
751C25C2414yes—
752C2×#41—48no—
753C2×#41—44no—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×D4—24no—
757C22×D4—24no—
758C22×D4—216no—
759C22×D4—28no—
760C22×D4—28no—
761C22×D4—216no—
762C22×D4—24no—
763C22×D4—24no—
764C22×D4—42no—
765C22×D4—42no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—48no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—48no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4—84no—
780C22×D4—84no—
781C22×D4—84no—
782C22×D4—84no—
783C22×D4—84no—
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2411yescharacteristic
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2411yescharacteristic
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2411yescharacteristic
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C4⋊Q8—24no—
837#127—24no—
838#127—24no—
839#127—216no—
840#127—24no—
841#127—24no—
842#127—44no—
843#127—44no—
844#127—48no—
845#127#4118yescomplemented
846#126—48no—
847#126—44no—
848#126—44no—
849#126—48no—
850#125—44no—
851#124—28no—
852#124—48no—
853#124—44no—
854#124—48no—
855#124—48no—
856#124—84no—
857#123—216no—
858#123—44no—
859#123—48no—
860#123—48no—
861#123—48no—
862#123—44no—
863#123—84no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868#121—28no—
869#121—28no—
870#121—216no—
871#121—28no—
872#121—216no—
873#121—28no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—44no—
880#121—48no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—48no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—48no—
892#121—48no—
893#121—84no—
894#121—84no—
895#121—84no—
896#120—216no—
897#120—216no—
898#120—216no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—48no—
908#120—48no—
909#120—48no—
910#120—48no—
911#120—84no—
912C4×Q8—44no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—84no—
941C4×D4—84no—
942C4×D4—84no—
943#117—24no—
944#117—24no—
945#117—44no—
946#117—42no—
947#117—42no—
948#117—44no—
949#117—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C22⋊C4—44no—
989C2×C22⋊C4—44no—
990C2×C22⋊C4—44no—
991C2×C22⋊C4—44no—
992C2×C22⋊C4—48no—
993C2×C22⋊C4—48no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—84no—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C42—24no—
1076C2×C42—44no—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138C24—28no—
1139C24—24no—
1140C24—24no—
1141C24—28no—
1142C24—24no—
1143C24—24no—
1144C24—28no—
1145C24—42no—
1146C24—42no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24—44no—
1154C24—44no—
1155C24—44no—
1156C24—44no—
1157C24—44no—
1158C24—44no—
1159C24—44no—
1160C24—44no—
1161C24—44no—
1162C24C2512yes—
1163C24C2514yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2512yes—
1170#41—816no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8—42no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—28no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—416no—
1221C2×D4—416no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—816no—
1274C2×D4—816no—
1275C2×D4—832no—
1276C2×D4—816no—
1277C2×D4—832no—
1278C2×D4—832no—
1279C2×D4—832no—
1280C2×D4—816no—
1281C2×D4C2×#4114yes—
1282C2×D4C2×#4114yes—
1283C2×D4C2×#41116yes—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4H(5,𝔽2)14yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4H(5,𝔽2)18yes—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—42no—
1482C42—42no—
1483C42—44no—
1484C42—44no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42C2×#4114yes—
1489C42H(5,𝔽2)14yes—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—48no—
1533C23—48no—
1534C23—416no—
1535C23—88no—
1536C23—88no—
1537C23—88no—
1538C23—88no—
1539C23—88no—
1540C23—88no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—162no—
1549C23—162no—
1550C23—164no—
1551C23—162no—
1552C23—164no—
1553C23—162no—
1554C23—164no—
1555C23—164no—
1556C23C22×#4114yes—
1557C23C22×#4114yes—
1558C23C2×H(5,𝔽2)12yes—
1559C23C2×H(5,𝔽2)14yes—
1560C23C2611yescharacteristic
1561Q8—84no—
1562Q8—84no—
1563D4—28no—
1564D4—28no—
1565D4—28no—
1566D4—416no—
1567D4—48no—
1568D4—48no—
1569D4—416no—
1570D4—416no—
1571D4—48no—
1572D4—48no—
1573D4—44no—
1574D4—416no—
1575D4—48no—
1576D4—416no—
1577D4—44no—
1578D4—44no—
1579D4—48no—
1580D4—88no—
1581D4—84no—
1582D4—84no—
1583D4—88no—
1584D4—84no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—164no—
1595D4—164no—
1596D4—164no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—28no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—88no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—162no—
1664C2×C4—162no—
1665C2×C4—162no—
1666C2×C4—162no—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)14yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C22—24no—
1677C22—28no—
1678C22—28no—
1679C22—22no—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—41no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—44no—
1718C22—44no—
1719C22—44no—
1720C22—42no—
1721C22—44no—
1722C22—1616no—
1723C22—168no—
1724C22—168no—
1725C22—1616no—
1726C22C23×#4111yescharacteristic
1727C22C22×H(5,𝔽2)12yes—
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22H(7,𝔽2)12yes—
1731C4—24no—
1732C4—24no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—24no—
1737C4—44no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—44no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4#351914yes—
1754C2—44no—
1755C2—44no—
1756C2—44no—
1757C2—42no—
1758C2—82no—
1759C2—82no—
1760C2—84no—
1761C2—82no—
1762C2C2×#351911yescharacteristic
1763C2#6283211yescharacteristic
1764C2#6287611yescharacteristic
1765C2#6291212yes—
1766C2#6298312yes—
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. #59307C2semidirect
2. #59126C2semidirect
3. #49724C2semidirect
4. #48685C2semidirect
5. #48473C2semidirect
6. #48143C2semidirect
7. #45437C2semidirect
8. #45355C2semidirect
9. #44947C2semidirect
10. #44933C2semidirect
11. #43893C2semidirect
12. #43837C2semidirect
13. #43095C2semidirect
14. #43010C2semidirect
15. #40164C2semidirect
16. #39396C2semidirect
17. #39185C2semidirect
18. #38953C2semidirect
19. #38910C2semidirect
20. #38026C2semidirect
21. #37332C2semidirect
22. #36498C2semidirect
23. #36260C2semidirect
24. #36022C2semidirect
25. #35730C2semidirect
26. #35691C2semidirect
27. #35691C2semidirect
28. #35268C2semidirect
29. #34880C2semidirect
30. #34471C2semidirect
31. #34210C2semidirect
32. C2×#555C22semidirect
33. C2×#547C22semidirect
34. C2×#546C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×#538C22semidirect
43. C2×#529C22semidirect
44. C2×#518C22semidirect
45. C2×#518C22semidirect
46. #2864C22semidirect
47. #2860C22semidirect
48. #2858C22semidirect
49. #2856C22semidirect
50. #2854C22semidirect
51. #2797C22semidirect
52. #2796C22semidirect
53. #2753C22semidirect
54. #2752C22semidirect
55. #2748C22semidirect
56. #2741C22semidirect
57. #2730C22semidirect
58. #2730C22semidirect
59. #2714C22semidirect
60. #2714C22semidirect
61. #2714C22semidirect
62. #2711C22semidirect
63. #2703C22semidirect
64. #2703C22semidirect
65. #2703C22semidirect
66. #2699C22semidirect
67. #2699C22semidirect
68. #2699C22semidirect
69. #2692C22semidirect
70. #2688C22semidirect
71. #2685C22semidirect
72. #2685C22semidirect
73. #2685C22semidirect
74. #2685C22semidirect
75. #2685C22semidirect
76. #2678C22semidirect
77. #2678C22semidirect
78. #2678C22semidirect
79. #2673C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
82. #2671C22semidirect
83. #2670C22semidirect
84. #2670C22semidirect
85. #2670C22semidirect
86. #2670C22semidirect
87. #2669C22semidirect
88. #2669C22semidirect
89. #2668C22semidirect
90. #2668C22semidirect
91. #2638C22semidirect
92. #2636C22semidirect
93. #2635C22semidirect
94. #2635C22semidirect
95. #2628C22semidirect
96. #2624C22semidirect
97. #2624C22semidirect
99. #2619C22semidirect
100. #2617C22semidirect
101. #2617C22semidirect
102. #2597C22semidirect
103. #2596C22semidirect
104. #2580C22semidirect
105. #2570C22semidirect
106. #2564C22semidirect
107. #2563C22semidirect
108. #2561C22semidirect
109. #2556C22semidirect
110. #2555C22semidirect
111. #2555C22semidirect
112. #2555C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2553C22semidirect
116. #2548C22semidirect
117. #2548C22semidirect
118. #2543C22semidirect
119. #2543C22semidirect
120. #2542C22semidirect
121. #2541C22semidirect
122. #2541C22semidirect
123. #2541C22semidirect
124. #2541C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
127. #2539C22semidirect
128. #2539C22semidirect
129. #2539C22semidirect
130. #2539C22semidirect
131. #2538C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2521C22semidirect
138. #2521C22semidirect
139. #2519C22semidirect
140. #2516C22semidirect
141. #2516C22semidirect
142. #2501C22semidirect
143. #2500C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2490C22semidirect
147. #2482C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2471C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
153. #2467C22semidirect
154. #2464C22semidirect
155. #2461C22semidirect
156. #2461C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
159. #2457C22semidirect
160. #2457C22semidirect
161. #2457C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2450C22semidirect
165. #2444C22semidirect
166. #2435C22semidirect
167. #2433C22semidirect
168. #2433C22semidirect
169. #2433C22semidirect
170. #2431C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2428C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2422C22semidirect
180. #2420C22semidirect
181. #2418C22semidirect
182. #2418C22semidirect
183. #2416C22semidirect
184. #2414C22semidirect
185. #2414C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2410C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
191. #2408C22semidirect
192. #2408C22semidirect
193. #2408C22semidirect
194. #2408C22semidirect
195. #2408C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2408C22semidirect
200. #2405C22semidirect
201. #2404C22semidirect
202. #2403C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2403C22semidirect
206. #2399C22semidirect
207. #2397C22semidirect
208. #2395C22semidirect
209. #2392C22semidirect
210. #2392C22semidirect
211. #2388C22semidirect
212. C2×#392C22semidirect
213. C2×#392C22semidirect
214. #2377C22semidirect
215. #2375C22semidirect
216. #2374C22semidirect
218. #2366C22semidirect
219. #2366C22semidirect
220. #2364C22semidirect
221. #2363C22semidirect
222. #2361C22semidirect
223. #2358C22semidirect
224. #2357C22semidirect
225. #2357C22semidirect
226. #2357C22semidirect
227. #2354C22semidirect
228. #2352C22semidirect
229. #2352C22semidirect
230. #2349C22semidirect
231. #2349C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. D4×C22⋊C4C22semidirect
235. D4×C22⋊C4C22semidirect
236. D4×C22⋊C4C22semidirect
237. #2333C22semidirect
238. #2331C22semidirect
241. #2328C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2324C22semidirect
245. #2321C22semidirect
246. #2321C22semidirect
247. #2321C22semidirect
248. #2319C22semidirect
249. #2309C22semidirect
250. #2309C22semidirect
251. #2309C22semidirect
252. #2308C22semidirect
253. C4×#127C22semidirect
254. C4×#127C22semidirect
255. C4×#127C22semidirect
256. C4×#127C22semidirect
257. C4×#124C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. #2293C22semidirect
262. C2×#390C22semidirect
263. #2290C22semidirect
264. #2285C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
845. #127#41semidirect

Maximal subgroups

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

subgroupindex
#593072
#591262
#497242
#486852
#484732
#481432
#454372
#453552
#449472
#449332
#438932
#438372
#430952
#430102
#401642
#393962
#391852
#389532
#389102
#380262
#373322
#364982
#362602
#360222
#357302
#356912
#352682
#348802
#344712
#342102