Finite Group Databasebeta

← #7657398

Subgroups — #7657398

Order 512.

5568 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40800C214yesmaximal, complemented
2#40794C214yesmaximal, complemented
3#40745C214yesmaximal, complemented
4#40728C214yesmaximal, complemented
5#40705C214yesmaximal, complemented
6#40688C214yesmaximal, complemented
7#39730C212yesmaximal, complemented
8#39500C211yesmaximal, characteristic, complemented
9#39382C211yesmaximal, characteristic, complemented
10#37898C211yesmaximal, characteristic, complemented
11#37894C211yesmaximal, characteristic, complemented
12#37701C211yesmaximal, characteristic, complemented
13#37694C211yesmaximal, characteristic, complemented
14#37669C212yesmaximal, complemented
15#37664C212yesmaximal, complemented
16#37570C212yesmaximal, complemented
17#37501C212yesmaximal, complemented
18#37492C212yesmaximal, complemented
19#36191C211yesmaximal, characteristic, complemented
20#36121C211yesmaximal, characteristic, complemented
21#36096C212yesmaximal, complemented
22#35716C214yesmaximal, complemented
23#35695C214yesmaximal, complemented
24#35331C211yesmaximal, characteristic, complemented
25#35310C211yesmaximal, characteristic, complemented
26#35261C211yesmaximal, characteristic, complemented
27#34633C211yesmaximal, characteristic, complemented
28#34621C211yesmaximal, characteristic, complemented
29C2×#2619C211yesmaximal, characteristic, complemented
30#34320C212yesmaximal, complemented
31D4×#117C211yesmaximal, characteristic, complemented
32C2×#546C2212yes—
33C2×#542C2212yescomplemented
34C2×#541C2211yescharacteristic, complemented
35C2×#540C2211yescharacteristic, complemented
36C2×#532C2211yescharacteristic, complemented
37C22×#127C2211yescharacteristic, complemented
38C2×#525C2212yescomplemented
39C22×#121C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2211yescharacteristic
42C22×#117C2211yescharacteristic, complemented
43#2862C2211yescharacteristic, complemented
44#2858C2211yescharacteristic, complemented
45#2857C2211yescharacteristic, complemented
46#2856C2211yescharacteristic, complemented
47#2851C2211yescharacteristic, complemented
48#2851C2211yescharacteristic, complemented
49#2850C2212yescomplemented
50#2848C2212yes—
51#2847C2212yescomplemented
52#2837C2214yescomplemented
53#2830C2214yescomplemented
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2825C2214yescomplemented
57#2824C2214yescomplemented
58#2808C2214yescomplemented
59#2795C2214yescomplemented
60#2778C2214yescomplemented
61#2772C2214yescomplemented
62#2766C2214yescomplemented
63#2756C2214yescomplemented
64#2733C2214yescomplemented
65#2718C2214yescomplemented
66#2714C2214yescomplemented
67#2714C2214yescomplemented
68#2711C2214yescomplemented
69#2709C2214yescomplemented
70#2705C2214yescomplemented
71#2703C2214yescomplemented
72#2701C2214yescomplemented
73#2696C2214yescomplemented
74#2694C2214yescomplemented
75#2691C2214yescomplemented
76#2691C2214yescomplemented
77#2686C2214yescomplemented
78#2678C2214yescomplemented
79#2673C2214yescomplemented
80#2672C2214yescomplemented
81#2670C2214yescomplemented
82#2662C2214yescomplemented
83#2661C2214yescomplemented
84#2653C2214yescomplemented
85#2651C2214yescomplemented
86#2651C2214yescomplemented
87#2649C2214yescomplemented
88#2648C2214yescomplemented
89#2648C2214yescomplemented
90#2648C2214yescomplemented
91#2648C2214yescomplemented
92#2647C2211yescharacteristic, complemented
93#2644C2212yescomplemented
94#2641C2211yescharacteristic, complemented
95#2640C2212yescomplemented
96#2631C2214yescomplemented
97#2630C2214yescomplemented
98#2629C2211yescharacteristic, complemented
99#2626C2214yescomplemented
100#2625C2212yescomplemented
101#2624C2212yescomplemented
102#2624C2212yescomplemented
103#2622C2214yes—
104#2621C2211yescharacteristic, complemented
105#2621C2211yescharacteristic, complemented
106#2620C2212yescomplemented
107#2620C2212yescomplemented
108#2619C2211yescharacteristic
109#2619C2212yes—
110#2619C2214yes—
111#2619C2211yescharacteristic
112#2619C2214yescomplemented
113#2619C2211yescharacteristic, complemented
114#2619C2211yescharacteristic, complemented
115#2619C2212yescomplemented
116#2619C2211yescharacteristic, complemented
117#2618C2214yescomplemented
118#2617C2214yescomplemented
119#2597C2214yescomplemented
120#2578C2214yescomplemented
121#2576C2214yescomplemented
122#2574C2214yescomplemented
123#2570C2212yescomplemented
124#2569C2214yescomplemented
125#2560C2214yescomplemented
126#2560C2214yescomplemented
127#2557C2214yescomplemented
128#2557C2214yescomplemented
129#2557C2214yescomplemented
130#2554C2214yescomplemented
131#2554C2214yescomplemented
132#2544C2212yescomplemented
133#2540C2212yescomplemented
134#2535C2212yescomplemented
135#2520C2214yescomplemented
136#2518C2214yescomplemented
137#2514C2212yescomplemented
138#2512C2212yescomplemented
139#2510C2214yes—
140#2491C2212yescomplemented
141#2491C2212yescomplemented
142#2490C2214yescomplemented
143#2480C2214yes—
144#2480C2214yescomplemented
145#2480C2214yescomplemented
146#2478C2214yescomplemented
147#2476C2214yescomplemented
148#2476C2214yescomplemented
149#2475C2214yescomplemented
150#2473C2214yescomplemented
151#2472C2214yes—
152#2471C2214yescomplemented
153#2471C2214yescomplemented
154#2467C2214yescomplemented
155#2467C2214yescomplemented
156#2467C2214yescomplemented
157#2464C2214yescomplemented
158#2460C2214yescomplemented
159#2459C2214yescomplemented
160#2459C2214yescomplemented
161#2459C2214yescomplemented
162#2457C2214yescomplemented
163#2457C2214yescomplemented
164#2456C2214yescomplemented
165#2450C2214yes—
166#2448C2212yescomplemented
167#2445C2214yescomplemented
168#2445C2212yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2437C2214yescomplemented
174#2435C2214yes—
175#2435C2212yescomplemented
176#2431C2212yescomplemented
177#2428C2214yescomplemented
178#2428C2212yescomplemented
179#2427C2212yescomplemented
180#2427C2214yescomplemented
181#2426C2212yescomplemented
182#2426C2212yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2422C2212yescomplemented
186#2421C2212yescomplemented
187#2418C2214yes—
188#2417C2212yes—
189#2414C2212yescomplemented
190#2410C2214yes—
191#2408C2212yes—
192#2408C2214yes—
193#2407C2212yescomplemented
194#2405C2214yes—
195#2405C2214yescomplemented
196#2403C2214yes—
197#2395C2214yescomplemented
198#2392C2214yescomplemented
199#2392C2214yescomplemented
200#2392C2214yescomplemented
201C2×#394C2214yescomplemented
202C2×#392C2214yes—
203#2374C2214yescomplemented
204#2368C2214yescomplemented
205#2367C2212yescomplemented
206#2363C2214yescomplemented
207#2363C2212yescomplemented
208#2360C2212yescomplemented
209#2358C2214yes—
210#2358C2214yes—
211#2357C2212yescomplemented
212#2354C2212yescomplemented
213#2352C2212yes—
214#2352C2212yes—
215#2352C2212yescomplemented
216D4×C4⋊C4C2212yes—
217#2344C2212yescomplemented
218#2342C2212yes—
219#2342C2214yescomplemented
220#2342C2212yescomplemented
221#2341C2212yescomplemented
222D4×C22⋊C4C2214yes—
223D4×C22⋊C4C2212yes—
224D4×C22⋊C4C2212yescomplemented
225D4×C22⋊C4C2214yescomplemented
226#2335C2214yescomplemented
227#2333C2214yescomplemented
228#2328C2211yescharacteristic, complemented
229#2327C2211yescharacteristic, complemented
230#2324C2212yescomplemented
231#2323C2212yescomplemented
232#2321C2214yes—
233#2314C2211yescharacteristic, complemented
234#2314C2211yescharacteristic, complemented
235C4×#127C2211yescharacteristic, complemented
236C4×#125C2211yescharacteristic, complemented
237C4×#124C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#121C2212yescomplemented
241#2297C2212yescomplemented
242#2293C2212yescomplemented
243#2293C2211yescharacteristic, complemented
244#2293C2211yescharacteristic, complemented
245C2×#390C2212yescomplemented
246#2290C2211yescharacteristic
247#2290C2211yescharacteristic
248#2290C2211yescharacteristic, complemented
249#2290C2211yescharacteristic, complemented
250#2285C2211yescharacteristic, complemented
251#2285C2211yescharacteristic, complemented
252C2×#382C2211yescharacteristic, complemented
253#2280C2211yescharacteristic
254#2280C2211yescharacteristic, complemented
255#2273C2214yescomplemented
256C42×D4C2211yescharacteristic
257C42×D4C2211yescharacteristic
258C4×#117C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2314yes—
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266#546—216no—
267#542—48no—
268#541—44no—
269#540—44no—
270#532—44no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×#127—44no—
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2314yes—
277C2×#127C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2311yescharacteristic
282C2×#125C2314yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289#525—48no—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×#121—48no—
303C2×#121C2312yes—
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×D4—28no—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2311yescharacteristic
343C2×#117—44no—
344C2×#117—44no—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2314yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377#401C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#395C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2312yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#385C2312yes—
614#385C2312yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2312yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#384C2311yescharacteristic
630#384C2312yes—
631#384C2312yes—
632#383C2314yes—
633#382C2311yescharacteristic
634#382C2311yescharacteristic
635#382C2311yescharacteristic
636#382C2312yes—
637#382C2312yes—
638#382C2314yes—
639#382C2312yes—
640#381C2314yes—
641#381C2312yes—
642#381C2312yes—
643#380C2314yes—
644#380C2314yes—
645#380C2312yes—
646#380C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2312yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#379C2314yes—
660#379C2314yes—
661#379C2312yes—
662#379C2312yes—
663#379C2314yes—
664#379C2314yes—
665#379C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2311yescharacteristic
679C4×C4⋊C4C2311yescharacteristic
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2311yescharacteristic
696C4×C22⋊C4C2311yescharacteristic
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2311yescharacteristic
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2311yescharacteristic
708#376C2311yescharacteristic
709#376C2311yescharacteristic
710C2×#95C2314yes—
711C43C2311yescharacteristic
712C43C2311yescharacteristic
713C25C2411yescharacteristic
714C25C2414yes—
715C25C2411yescharacteristic
716C2×#41—28no—
717C2×#41—44no—
718C2×#41—44no—
719C22×Q8C2412yes—
720C22×Q8C2414yes—
721C22×D4—24no—
722C22×D4—28no—
723C22×D4—44no—
724C22×D4—44no—
725C22×D4—48no—
726C22×D4—48no—
727C22×D4—48no—
728C22×D4—44no—
729C22×D4—48no—
730C22×D4—84no—
731C22×D4—84no—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2411yescharacteristic
739C22×D4C2411yescharacteristic
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C23×C4—24no—
752C23×C4—24no—
753C23×C4—24no—
754C23×C4—24no—
755C23×C4—42no—
756C23×C4—42no—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C4⋊Q8—24no—
780C4⋊Q8—44no—
781#127—24no—
782#127—24no—
783#127—44no—
784#127—48no—
785#126—48no—
786#126—48no—
787#126—84no—
788#125—24no—
789#125—48no—
790#124—28no—
791#124—44no—
792#124—44no—
793#124—48no—
794#124—84no—
795#124—84no—
796#123—216no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—84no—
801#123—84no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—48no—
805C22⋊Q8—48no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808#121—28no—
809#121—28no—
810#121—28no—
811#121—216no—
812#121—48no—
813#121—48no—
814#121—44no—
815#121—44no—
816#121—44no—
817#121—48no—
818#121—44no—
819#121—48no—
820#121—84no—
821#121—84no—
822#120—216no—
823#120—48no—
824#120—48no—
825#120—84no—
826C4×Q8—44no—
827C4×Q8—44no—
828C4×D4—24no—
829C4×D4—24no—
830C4×D4—24no—
831C4×D4—24no—
832C4×D4—24no—
833C4×D4—24no—
834C4×D4—24no—
835C4×D4—28no—
836C4×D4—48no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—48no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—48no—
843C4×D4—84no—
844C4×D4—84no—
845C4×D4—84no—
846C4×D4#4118yes—
847#117—24no—
848#117—24no—
849#117—24no—
850#117—24no—
851#117—42no—
852#117—42no—
853#117—42no—
854#117—42no—
855#117—44no—
856#117—44no—
857#117—44no—
858#117—44no—
859#117—44no—
860#117—84no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—44no—
863C2×C4⋊C4—44no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C22⋊C4—24no—
906C2×C22⋊C4—24no—
907C2×C22⋊C4—216no—
908C2×C22⋊C4—44no—
909C2×C22⋊C4—44no—
910C2×C22⋊C4—48no—
911C2×C22⋊C4—48no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—84no—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2411yescharacteristic
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2411yescharacteristic
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C42—24no—
985C2×C42—24no—
986C2×C42—24no—
987C2×C42—42no—
988C2×C42—42no—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—24no—
1064C24—28no—
1065C24—22no—
1066C24—28no—
1067C24—28no—
1068C24—41no—
1069C24—41no—
1070C24—42no—
1071C24—42no—
1072C24—44no—
1073C24—44no—
1074C24—42no—
1075C24—44no—
1076C24—44no—
1077C24C2514yes—
1078C24C2511yescharacteristic
1079C24C2511yescharacteristic
1080C24C2514yes—
1081C24C2511yescharacteristic
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084#41—816no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—44no—
1089C2×Q8—44no—
1090C2×Q8—44no—
1091C2×D4—24no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—22no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—416no—
1144C2×D4—816no—
1145C2×D4—832no—
1146C2×D4—832no—
1147C2×D4C2×#4114yes—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—28no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—28no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—416no—
1190C22×C4—416no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4C2×#4114yes—
1212C22×C4C2×#4114yes—
1213C22×C4H(5,𝔽2)14yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4C2×#4114yes—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4C2×#4114yes—
1347C22⋊C4C2×#4114yes—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—42no—
1361C42—42no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42C2×#4114yes—
1373C42H(5,𝔽2)14yes—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—21no—
1387C23—21no—
1388C23—24no—
1389C23—21no—
1390C23—21no—
1391C23—24no—
1392C23—24no—
1393C23—21no—
1394C23—24no—
1395C23—24no—
1396C23—21no—
1397C23—24no—
1398C23—24no—
1399C23—24no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—24no—
1405C23—22no—
1406C23—22no—
1407C23—24no—
1408C23—24no—
1409C23—44no—
1410C23—44no—
1411C23—48no—
1412C23—44no—
1413C23—44no—
1414C23—416no—
1415C23—82no—
1416C23—84no—
1417C23—82no—
1418C23—84no—
1419C23—88no—
1420C23—88no—
1421C23—88no—
1422C23—88no—
1423C23—88no—
1424C23—88no—
1425C23—84no—
1426C23C22×#4112yes—
1427C23C22×#4112yes—
1428C23C2×H(5,𝔽2)12yes—
1429C23#58514yes—
1430C23C2611yescharacteristic
1431Q8—48no—
1432Q8—164no—
1433D4—28no—
1434D4—44no—
1435D4—416no—
1436D4—44no—
1437D4—416no—
1438D4—44no—
1439D4—48no—
1440D4—48no—
1441D4—88no—
1442D4—88no—
1443D4—88no—
1444D4—88no—
1445D4—88no—
1446D4—88no—
1447D4—88no—
1448D4—88no—
1449D4—88no—
1450D4—88no—
1451D4—164no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—28no—
1463C2×C4—28no—
1464C2×C4—28no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—48no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—88no—
1526C2×C4—84no—
1527C2×C4—88no—
1528C2×C4—84no—
1529C2×C4—88no—
1530C2×C4—84no—
1531C2×C4—164no—
1532C2×C4—164no—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×H(5,𝔽2)12yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C22—22no—
1543C22—22no—
1544C22—24no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—24no—
1550C22—22no—
1551C22—41no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—44no—
1559C22—44no—
1560C22—44no—
1561C22—44no—
1562C22—41no—
1563C22—41no—
1564C22—44no—
1565C22—44no—
1566C22—44no—
1567C22—44no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—44no—
1573C22—42no—
1574C22—42no—
1575C22—44no—
1576C22—41no—
1577C22—41no—
1578C22—44no—
1579C22—44no—
1580C22—88no—
1581C22—88no—
1582C22—1616no—
1583C22#345514yes—
1584C22C23×#4111yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C2×#58512yes—
1588C22H(7,𝔽2)12yes—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—24no—
1594C4—22no—
1595C4—41no—
1596C4—41no—
1597C4—44no—
1598C4—41no—
1599C4—44no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—44no—
1607C4—42no—
1608C4—44no—
1609C4—44no—
1610C4—42no—
1611C4—41no—
1612C4#351914yes—
1613C2—24no—
1614C2—42no—
1615C2—42no—
1616C2—81no—
1617C2—81no—
1618C2—84no—
1619C2—84no—
1620C2C2×#345511yescharacteristic
1621C2C2×#351911yescharacteristic
1622C2#6285811yescharacteristic
1623C2#6292412yes—
1624C2#6292412yes—
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. #40800C2semidirect
2. #40794C2semidirect
3. #40745C2semidirect
4. #40728C2semidirect
5. #40705C2semidirect
6. #40688C2semidirect
7. #39730C2semidirect
8. #39500C2semidirect
9. #39382C2semidirect
10. #37898C2semidirect
11. #37894C2semidirect
12. #37701C2semidirect
13. #37694C2semidirect
14. #37669C2semidirect
15. #37664C2semidirect
16. #37570C2semidirect
17. #37501C2semidirect
18. #37492C2semidirect
19. #36191C2semidirect
20. #36121C2semidirect
21. #36096C2semidirect
22. #35716C2semidirect
23. #35695C2semidirect
24. #35331C2semidirect
25. #35310C2semidirect
26. #35261C2semidirect
27. #34633C2semidirect
28. #34621C2semidirect
29. C2×#2619C2semidirect
30. #34320C2semidirect
31. D4×#117C2semidirect
33. C2×#542C22semidirect
34. C2×#541C22semidirect
35. C2×#540C22semidirect
36. C2×#532C22semidirect
37. C22×#127C22semidirect
38. C2×#525C22semidirect
42. C22×#117C22semidirect
43. #2862C22semidirect
44. #2858C22semidirect
45. #2857C22semidirect
46. #2856C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
49. #2850C22semidirect
51. #2847C22semidirect
52. #2837C22semidirect
53. #2830C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2825C22semidirect
57. #2824C22semidirect
58. #2808C22semidirect
59. #2795C22semidirect
60. #2778C22semidirect
61. #2772C22semidirect
62. #2766C22semidirect
63. #2756C22semidirect
64. #2733C22semidirect
65. #2718C22semidirect
66. #2714C22semidirect
67. #2714C22semidirect
68. #2711C22semidirect
69. #2709C22semidirect
70. #2705C22semidirect
71. #2703C22semidirect
72. #2701C22semidirect
73. #2696C22semidirect
74. #2694C22semidirect
75. #2691C22semidirect
76. #2691C22semidirect
77. #2686C22semidirect
78. #2678C22semidirect
79. #2673C22semidirect
80. #2672C22semidirect
81. #2670C22semidirect
82. #2662C22semidirect
83. #2661C22semidirect
84. #2653C22semidirect
85. #2651C22semidirect
86. #2651C22semidirect
87. #2649C22semidirect
88. #2648C22semidirect
89. #2648C22semidirect
90. #2648C22semidirect
91. #2648C22semidirect
92. #2647C22semidirect
93. #2644C22semidirect
94. #2641C22semidirect
95. #2640C22semidirect
96. #2631C22semidirect
97. #2630C22semidirect
98. #2629C22semidirect
99. #2626C22semidirect
100. #2625C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
104. #2621C22semidirect
105. #2621C22semidirect
106. #2620C22semidirect
107. #2620C22semidirect
112. #2619C22semidirect
113. #2619C22semidirect
114. #2619C22semidirect
115. #2619C22semidirect
116. #2619C22semidirect
117. #2618C22semidirect
118. #2617C22semidirect
119. #2597C22semidirect
120. #2578C22semidirect
121. #2576C22semidirect
122. #2574C22semidirect
123. #2570C22semidirect
124. #2569C22semidirect
125. #2560C22semidirect
126. #2560C22semidirect
127. #2557C22semidirect
128. #2557C22semidirect
129. #2557C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
132. #2544C22semidirect
133. #2540C22semidirect
134. #2535C22semidirect
135. #2520C22semidirect
136. #2518C22semidirect
137. #2514C22semidirect
138. #2512C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2490C22semidirect
144. #2480C22semidirect
145. #2480C22semidirect
146. #2478C22semidirect
147. #2476C22semidirect
148. #2476C22semidirect
149. #2475C22semidirect
150. #2473C22semidirect
152. #2471C22semidirect
153. #2471C22semidirect
154. #2467C22semidirect
155. #2467C22semidirect
156. #2467C22semidirect
157. #2464C22semidirect
158. #2460C22semidirect
159. #2459C22semidirect
160. #2459C22semidirect
161. #2459C22semidirect
162. #2457C22semidirect
163. #2457C22semidirect
164. #2456C22semidirect
166. #2448C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
173. #2437C22semidirect
175. #2435C22semidirect
176. #2431C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2421C22semidirect
189. #2414C22semidirect
193. #2407C22semidirect
195. #2405C22semidirect
197. #2395C22semidirect
198. #2392C22semidirect
199. #2392C22semidirect
200. #2392C22semidirect
201. C2×#394C22semidirect
203. #2374C22semidirect
204. #2368C22semidirect
205. #2367C22semidirect
206. #2363C22semidirect
207. #2363C22semidirect
208. #2360C22semidirect
211. #2357C22semidirect
212. #2354C22semidirect
215. #2352C22semidirect
217. #2344C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
221. #2341C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2335C22semidirect
227. #2333C22semidirect
228. #2328C22semidirect
229. #2327C22semidirect
230. #2324C22semidirect
231. #2323C22semidirect
233. #2314C22semidirect
234. #2314C22semidirect
235. C4×#127C22semidirect
236. C4×#125C22semidirect
237. C4×#124C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
241. #2297C22semidirect
242. #2293C22semidirect
243. #2293C22semidirect
244. #2293C22semidirect
245. C2×#390C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
250. #2285C22semidirect
251. #2285C22semidirect
252. C2×#382C22semidirect
254. #2280C22semidirect
255. #2273C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#408002
#407942
#407452
#407282
#407052
#406882
#397302
#395002
#393822
#378982
#378942
#377012
#376942
#376692
#376642
#375702
#375012
#374922
#361912
#361212
#360962
#357162
#356952
#353312
#353102
#352612
#346332
#346212
C2×#26192
#343202
D4×#1172