Finite Group Databasebeta

← #8115206

Subgroups — #8115206

Order 512.

5707 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58300C212yesmaximal, complemented
2#57979C214yesmaximal, complemented
3#57971C212yesmaximal, complemented
4#57213C212yesmaximal, complemented
5#56303C214yesmaximal, complemented
6#54174C212yesmaximal, complemented
7#53905C212yesmaximal, complemented
8#53846C212yesmaximal, complemented
9#53675C212yesmaximal, complemented
10#53544C214yesmaximal, complemented
11#53438C214yesmaximal, complemented
12#53422C212yesmaximal, complemented
13#53059C212yesmaximal, complemented
14#52977C212yesmaximal, complemented
15#45093C212yesmaximal, complemented
16#44870C212yesmaximal, complemented
17#42977C211yesmaximal, characteristic, complemented
18#42976C212yesmaximal, complemented
19#42961C211yesmaximal, characteristic, complemented
20#42883C211yesmaximal, characteristic, complemented
21#42475C211yesmaximal, characteristic, complemented
22#42474C212yesmaximal, complemented
23#37899C212yesmaximal, complemented
24#37898C212yesmaximal, complemented
25#37677C212yesmaximal, complemented
26#37674C212yesmaximal, complemented
27#37290C212yesmaximal, complemented
28#37278C212yesmaximal, complemented
29#35327C211yesmaximal, characteristic, complemented
30#35272C211yesmaximal, characteristic, complemented
31#34636C211yesmaximal, characteristic, complemented
32C2×#548C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×D42C2212yescomplemented
35C2×D42C2212yescomplemented
36C2×#536C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38C2×#535C2212yescomplemented
39C2×#535C2212yescomplemented
40C22×#127C2211yescharacteristic, complemented
41C2×#529C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic, complemented
43C2×C4×#41C2211yescharacteristic, complemented
44#2856C2212yescomplemented
45#2856C2212yescomplemented
46#2850C2212yescomplemented
47#2850C2212yescomplemented
48#2832C2212yescomplemented
49#2829C2214yescomplemented
50#2829C2214yescomplemented
51#2828C2212yescomplemented
52#2828C2214yescomplemented
53#2826C2214yescomplemented
54#2825C2214yescomplemented
55#2825C2214yescomplemented
56#2818C2214yescomplemented
57#2815C2212yescomplemented
58#2813C2214yescomplemented
59#2812C2214yescomplemented
60#2812C2214yescomplemented
61#2812C2212yescomplemented
62#2786C2214yescomplemented
63#2778C2214yescomplemented
64#2760C2212yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2753C2214yescomplemented
68#2752C2212yescomplemented
69#2750C2214yescomplemented
70#2749C2214yescomplemented
71#2749C2214yescomplemented
72#2749C2214yescomplemented
73#2733C2212yescomplemented
74#2730C2214yescomplemented
75#2728C2212yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2711C2214yescomplemented
79#2706C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2703C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2212yescomplemented
85#2699C2214yescomplemented
86#2697C2214yescomplemented
87#2697C2214yescomplemented
88#2697C2214yescomplemented
89#2691C2214yescomplemented
90#2691C2214yescomplemented
91#2691C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2684C2214yescomplemented
99#2682C2214yescomplemented
100#2679C2214yescomplemented
101#2679C2212yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2676C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2674C2214yescomplemented
112#2673C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2671C2214yescomplemented
118#2670C2214yescomplemented
119#2670C2214yescomplemented
120#2670C2214yescomplemented
121#2670C2214yescomplemented
122#2670C2214yescomplemented
123#2670C2212yescomplemented
124#2669C2214yescomplemented
125#2669C2214yescomplemented
126#2669C2214yescomplemented
127#2669C2214yescomplemented
128#2669C2214yescomplemented
129#2668C2212yescomplemented
130#2662C2214yescomplemented
131#2661C2214yescomplemented
132#2657C2212yes—
133#2653C2214yescomplemented
134#2648C2214yescomplemented
135#2647C2212yescomplemented
136#2638C2211yescharacteristic, complemented
137#2638C2211yescharacteristic, complemented
138#2637C2212yescomplemented
139#2636C2212yescomplemented
140#2635C2211yescharacteristic, complemented
141#2635C2211yescharacteristic, complemented
142#2635C2214yescomplemented
143#2634C2211yescharacteristic, complemented
144#2633C2211yescharacteristic, complemented
145#2632C2211yescharacteristic, complemented
146#2631C2211yescharacteristic
147#2630C2212yescomplemented
148#2630C2212yescomplemented
149#2622C2214yescomplemented
150#2620C2212yescomplemented
151#2620C2212yescomplemented
152#2620C2212yescomplemented
153#2619C2211yescharacteristic
154#2619C2212yescomplemented
155#2619C2211yescharacteristic, complemented
156#2619C2211yescharacteristic, complemented
157#2619C2211yescharacteristic, complemented
158#2613C2214yescomplemented
159#2613C2214yescomplemented
160#2600C2212yescomplemented
161#2597C2214yescomplemented
162#2597C2214yescomplemented
163#2595C2214yescomplemented
164#2594C2214yescomplemented
165#2593C2214yescomplemented
166#2592C2212yescomplemented
167#2573C2214yescomplemented
168#2572C2212yescomplemented
169#2555C2214yescomplemented
170#2555C2212yescomplemented
171#2554C2214yescomplemented
172#2554C2214yescomplemented
173#2554C2214yescomplemented
174#2548C2212yescomplemented
175#2548C2212yescomplemented
176#2548C2212yescomplemented
177#2548C2212yescomplemented
178#2545C2212yescomplemented
179#2545C2212yescomplemented
180#2544C2212yescomplemented
181#2544C2212yescomplemented
182#2544C2212yescomplemented
183#2544C2212yescomplemented
184#2541C2212yescomplemented
185#2541C2212yescomplemented
186#2541C2212yescomplemented
187#2541C2212yescomplemented
188#2540C2212yescomplemented
189#2534C2212yescomplemented
190#2534C2212yescomplemented
191#2534C2212yescomplemented
192#2534C2212yescomplemented
193#2514C2212yescomplemented
194#2513C2212yescomplemented
195#2512C2212yescomplemented
196#2512C2212yescomplemented
197#2491C2214yescomplemented
198#2472C2214yescomplemented
199#2448C2212yescomplemented
200#2447C2212yescomplemented
201#2445C2214yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2436C2212yescomplemented
205#2435C2212yescomplemented
206#2435C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yescomplemented
210#2433C2214yescomplemented
211#2433C2214yescomplemented
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2428C2212yescomplemented
215#2428C2212yescomplemented
216#2427C2212yescomplemented
217#2426C2212yescomplemented
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2422C2212yescomplemented
221#2422C2212yescomplemented
222#2421C2212yescomplemented
223#2420C2212yescomplemented
224#2418C2214yescomplemented
225#2415C2212yescomplemented
226#2414C2212yes—
227#2414C2212yescomplemented
228#2414C2212yescomplemented
229#2410C2214yescomplemented
230#2410C2214yescomplemented
231#2410C2214yescomplemented
232#2410C2214yescomplemented
233#2408C2212yescomplemented
234#2408C2212yescomplemented
235#2408C2212yescomplemented
236#2408C2212yescomplemented
237#2408C2212yescomplemented
238#2408C2212yescomplemented
239#2407C2212yescomplemented
240#2407C2212yescomplemented
241#2405C2214yescomplemented
242#2403C2214yescomplemented
243#2403C2214yescomplemented
244#2403C2214yescomplemented
245#2403C2212yescomplemented
246#2396C2211yescharacteristic, complemented
247#2396C2211yescharacteristic, complemented
248#2395C2212yescomplemented
249#2392C2211yescharacteristic, complemented
250#2392C2211yescharacteristic, complemented
251#2388C2212yescomplemented
252#2363C2212yescomplemented
253#2363C2212yescomplemented
254#2363C2212yescomplemented
255#2362C2212yescomplemented
256#2328C2212yescomplemented
257#2326C2212yescomplemented
258#2314C2212yescomplemented
259#2310C2211yescharacteristic, complemented
260#2309C2212yescomplemented
261#2309C2211yescharacteristic, complemented
262#2290C2212yescomplemented
263#2290C2212yescomplemented
264#2285C2211yescharacteristic, complemented
265#2285C2211yescharacteristic, complemented
266#2283C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2314yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277#548—48no—
278#546—48no—
279D42—48no—
280D42—48no—
281#536—44no—
282#535—48no—
283#535—44no—
284#535—48no—
285C2×C4⋊Q8C2312yes—
286C2×#127—44no—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2312yes—
295C2×#127C2314yes—
296C2×#127C2312yes—
297C2×#127C2314yes—
298#529—44no—
299C2×#126C2312yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#125C2311yescharacteristic
303C2×#124—44no—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2311yescharacteristic
308C2×#124C2312yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C4×#41—44no—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405#401C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2311yescharacteristic
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2311yescharacteristic
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2311yescharacteristic
417#399C2311yescharacteristic
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2311yescharacteristic
424#398C2311yescharacteristic
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2311yescharacteristic
440#397C2311yescharacteristic
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#396C2312yes—
457#395C2311yescharacteristic
458#395C2311yescharacteristic
459#395C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2311yescharacteristic
508#394C2311yescharacteristic
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2311yescharacteristic
520#393C2311yescharacteristic
521#393C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2311yescharacteristic
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2312yes—
553#392C2312yes—
554#392C2311yescharacteristic
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#384C2312yes—
694#384C2312yes—
695#383C2314yes—
696#383C2311yescharacteristic
697#383C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#381C2312yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2311yescharacteristic
707#381C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#379C2312yes—
717#379C2314yes—
718#379C2312yes—
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724#379C2314yes—
725#379C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745#376C2312yes—
746C25C2412yes—
747C25C2414yes—
748C25C2414yes—
749C2×#41—24no—
750C2×#41—24no—
751C2×#41—42no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C22×Q8—24no—
756C22×Q8—42no—
757C22×Q8—42no—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×Q8C2411yescharacteristic
762C22×D4—24no—
763C22×D4—28no—
764C22×D4—42no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—42no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—84no—
776C22×D4—84no—
777C22×D4—84no—
778C22×D4—84no—
779C22×D4—84no—
780C22×D4—84no—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2411yescharacteristic
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2412yes—
815C22×D4C2412yes—
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C4⋊Q8—44no—
832#127—28no—
833#127—42no—
834#127—42no—
835#127—44no—
836#127—44no—
837#127—44no—
838#127—44no—
839#127—44no—
840#127—44no—
841#127—48no—
842#127—84no—
843#126—44no—
844#126—84no—
845#126—84no—
846#125—42no—
847#124—28no—
848#124—44no—
849#124—44no—
850#124—42no—
851#124—44no—
852#124—44no—
853#124—44no—
854#124—44no—
855#124—44no—
856#124—44no—
857#124—48no—
858#124—48no—
859#124—84no—
860#123—44no—
861#123—44no—
862#123—44no—
863#123—48no—
864#123—84no—
865#123—84no—
866#123—84no—
867#123—84no—
868C22⋊Q8—28no—
869C22⋊Q8—48no—
870C22⋊Q8—42no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—42no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—84no—
890#121—84no—
891#121—84no—
892#121—84no—
893#121—84no—
894#121—84no—
895#121—84no—
896#121—84no—
897#120—48no—
898#120—48no—
899#120—44no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—44no—
908#120—84no—
909#120—84no—
910#120—84no—
911#120—84no—
912#120—84no—
913#120—84no—
914#120—84no—
915#120—84no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—42no—
919C4×Q8—44no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—48no—
934#117—28no—
935#117—42no—
936#117—42no—
937#117—42no—
938#117—42no—
939#117—44no—
940#117—42no—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C22⋊C4—44no—
978C2×C22⋊C4—44no—
979C2×C22⋊C4—48no—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125C24—28no—
1126C24—24no—
1127C24—42no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—42no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24C2512yes—
1145C24C2514yes—
1146C24C2514yes—
1147C24C2514yes—
1148C24C2511yescharacteristic
1149C24C2511yescharacteristic
1150C24C2511yescharacteristic
1151#41—416no—
1152#41—816no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—88no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—41no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
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—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
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—44no—
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—816no—
1266C2×D4—88no—
1267C2×D4—816no—
1268C2×D4—816no—
1269C2×D4—816no—
1270C2×D4—832no—
1271C2×D4—832no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
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—44no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4H(5,𝔽2)14yes—
1310C22×C4H(5,𝔽2)14yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—44no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
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—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—44no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42H(5,𝔽2)14yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—24no—
1490C23—21no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—24no—
1495C23—24no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—84no—
1511C23—88no—
1512C23—88no—
1513C23—88no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23—84no—
1521C23—84no—
1522C23—164no—
1523C23—164no—
1524C23—164no—
1525C23—164no—
1526C23—164no—
1527C23—164no—
1528C23—164no—
1529C23C2×H(5,𝔽2)12yes—
1530C23C2×H(5,𝔽2)12yes—
1531C23C2611yescharacteristic
1532Q8—44no—
1533Q8—48no—
1534Q8—84no—
1535Q8—82no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—48no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—88no—
1545D4—84no—
1546D4—88no—
1547D4—88no—
1548D4—88no—
1549D4—88no—
1550D4—88no—
1551D4—82no—
1552D4—84no—
1553D4—88no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—164no—
1564D4—164no—
1565D4—164no—
1566D4—164no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—28no—
1578C2×C4—28no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—164no—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C22—22no—
1651C22—22no—
1652C22—24no—
1653C22—24no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—44no—
1663C22—44no—
1664C22—44no—
1665C22—41no—
1666C22—41no—
1667C22—44no—
1668C22—44no—
1669C22—44no—
1670C22—44no—
1671C22—42no—
1672C22—42no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—44no—
1687C22—44no—
1688C22—42no—
1689C22—44no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—168no—
1694C22—1616no—
1695C22—1616no—
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×H(5,𝔽2)11yescharacteristic
1699C22H(7,𝔽2)12yes—
1700C22H(7,𝔽2)12yes—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—42no—
1706C4—41no—
1707C4—44no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—44no—
1719C4—44no—
1720C4—42no—
1721C4—44no—
1722C4—44no—
1723C4—42no—
1724C4#353714yes—
1725C2—42no—
1726C2—42no—
1727C2—81no—
1728C2—84no—
1729C2—82no—
1730C2—84no—
1731C2—84no—
1732C2C2×#353711yescharacteristic
1733C2#6287411yescharacteristic
1734C2#6287411yescharacteristic
1735C2#6287612yes—
1736C2#6287612yes—
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. #58300C2semidirect
2. #57979C2semidirect
3. #57971C2semidirect
4. #57213C2semidirect
5. #56303C2semidirect
6. #54174C2semidirect
7. #53905C2semidirect
8. #53846C2semidirect
9. #53675C2semidirect
10. #53544C2semidirect
11. #53438C2semidirect
12. #53422C2semidirect
13. #53059C2semidirect
14. #52977C2semidirect
15. #45093C2semidirect
16. #44870C2semidirect
17. #42977C2semidirect
18. #42976C2semidirect
19. #42961C2semidirect
20. #42883C2semidirect
21. #42475C2semidirect
22. #42474C2semidirect
23. #37899C2semidirect
24. #37898C2semidirect
25. #37677C2semidirect
26. #37674C2semidirect
27. #37290C2semidirect
28. #37278C2semidirect
29. #35327C2semidirect
30. #35272C2semidirect
31. #34636C2semidirect
32. C2×#548C22semidirect
33. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×#536C22semidirect
38. C2×#535C22semidirect
39. C2×#535C22semidirect
40. C22×#127C22semidirect
41. C2×#529C22semidirect
42. C22×#124C22semidirect
43. C2×C4×#41C22semidirect
44. #2856C22semidirect
45. #2856C22semidirect
46. #2850C22semidirect
47. #2850C22semidirect
48. #2832C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2826C22semidirect
54. #2825C22semidirect
55. #2825C22semidirect
56. #2818C22semidirect
57. #2815C22semidirect
58. #2813C22semidirect
59. #2812C22semidirect
60. #2812C22semidirect
61. #2812C22semidirect
62. #2786C22semidirect
63. #2778C22semidirect
64. #2760C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2753C22semidirect
68. #2752C22semidirect
69. #2750C22semidirect
70. #2749C22semidirect
71. #2749C22semidirect
72. #2749C22semidirect
73. #2733C22semidirect
74. #2730C22semidirect
75. #2728C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2711C22semidirect
79. #2706C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2703C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
86. #2697C22semidirect
87. #2697C22semidirect
88. #2697C22semidirect
89. #2691C22semidirect
90. #2691C22semidirect
91. #2691C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2684C22semidirect
99. #2682C22semidirect
100. #2679C22semidirect
101. #2679C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2676C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2674C22semidirect
112. #2673C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2671C22semidirect
118. #2670C22semidirect
119. #2670C22semidirect
120. #2670C22semidirect
121. #2670C22semidirect
122. #2670C22semidirect
123. #2670C22semidirect
124. #2669C22semidirect
125. #2669C22semidirect
126. #2669C22semidirect
127. #2669C22semidirect
128. #2669C22semidirect
129. #2668C22semidirect
130. #2662C22semidirect
131. #2661C22semidirect
133. #2653C22semidirect
134. #2648C22semidirect
135. #2647C22semidirect
136. #2638C22semidirect
137. #2638C22semidirect
138. #2637C22semidirect
139. #2636C22semidirect
140. #2635C22semidirect
141. #2635C22semidirect
142. #2635C22semidirect
143. #2634C22semidirect
144. #2633C22semidirect
145. #2632C22semidirect
147. #2630C22semidirect
148. #2630C22semidirect
149. #2622C22semidirect
150. #2620C22semidirect
151. #2620C22semidirect
152. #2620C22semidirect
154. #2619C22semidirect
155. #2619C22semidirect
156. #2619C22semidirect
157. #2619C22semidirect
158. #2613C22semidirect
159. #2613C22semidirect
160. #2600C22semidirect
161. #2597C22semidirect
162. #2597C22semidirect
163. #2595C22semidirect
164. #2594C22semidirect
165. #2593C22semidirect
166. #2592C22semidirect
167. #2573C22semidirect
168. #2572C22semidirect
169. #2555C22semidirect
170. #2555C22semidirect
171. #2554C22semidirect
172. #2554C22semidirect
173. #2554C22semidirect
174. #2548C22semidirect
175. #2548C22semidirect
176. #2548C22semidirect
177. #2548C22semidirect
178. #2545C22semidirect
179. #2545C22semidirect
180. #2544C22semidirect
181. #2544C22semidirect
182. #2544C22semidirect
183. #2544C22semidirect
184. #2541C22semidirect
185. #2541C22semidirect
186. #2541C22semidirect
187. #2541C22semidirect
188. #2540C22semidirect
189. #2534C22semidirect
190. #2534C22semidirect
191. #2534C22semidirect
192. #2534C22semidirect
193. #2514C22semidirect
194. #2513C22semidirect
195. #2512C22semidirect
196. #2512C22semidirect
197. #2491C22semidirect
198. #2472C22semidirect
199. #2448C22semidirect
200. #2447C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2436C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
216. #2427C22semidirect
217. #2426C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2422C22semidirect
221. #2422C22semidirect
222. #2421C22semidirect
223. #2420C22semidirect
224. #2418C22semidirect
225. #2415C22semidirect
227. #2414C22semidirect
228. #2414C22semidirect
229. #2410C22semidirect
230. #2410C22semidirect
231. #2410C22semidirect
232. #2410C22semidirect
233. #2408C22semidirect
234. #2408C22semidirect
235. #2408C22semidirect
236. #2408C22semidirect
237. #2408C22semidirect
238. #2408C22semidirect
239. #2407C22semidirect
240. #2407C22semidirect
241. #2405C22semidirect
242. #2403C22semidirect
243. #2403C22semidirect
244. #2403C22semidirect
245. #2403C22semidirect
246. #2396C22semidirect
247. #2396C22semidirect
248. #2395C22semidirect
249. #2392C22semidirect
250. #2392C22semidirect
251. #2388C22semidirect
252. #2363C22semidirect
253. #2363C22semidirect
254. #2363C22semidirect
255. #2362C22semidirect
256. #2328C22semidirect
257. #2326C22semidirect
258. #2314C22semidirect
259. #2310C22semidirect
260. #2309C22semidirect
261. #2309C22semidirect
262. #2290C22semidirect
263. #2290C22semidirect
264. #2285C22semidirect
265. #2285C22semidirect
266. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#583002
#579792
#579712
#572132
#563032
#541742
#539052
#538462
#536752
#535442
#534382
#534222
#530592
#529772
#450932
#448702
#429772
#429762
#429612
#428832
#424752
#424742
#378992
#378982
#376772
#376742
#372902
#372782
#353272
#352722
#346362