Finite Group Databasebeta

← #8657213

Subgroups — #8657213

Order 512.

5971 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59094C212yesmaximal, complemented
2#58588C212yesmaximal, complemented
3#57988C214yesmaximal, complemented
4#56302C214yesmaximal, complemented
5#53018C211yesmaximal, characteristic, complemented
6#51785C214yesmaximal, complemented
7#51441C214yesmaximal, complemented
8#49750C214yesmaximal, complemented
9#47807C212yesmaximal, complemented
10#47082C214yesmaximal, complemented
11#46061C212yesmaximal, complemented
12#45996C211yesmaximal, characteristic, complemented
13#45103C211yesmaximal, characteristic, complemented
14#44955C212yesmaximal, complemented
15#43198C212yesmaximal, complemented
16#42967C211yesmaximal, characteristic, complemented
17#42520C212yesmaximal, complemented
18#41983C212yesmaximal, complemented
19#39888C212yesmaximal, complemented
20#39532C212yesmaximal, complemented
21#39488C211yesmaximal, characteristic, complemented
22#39355C212yesmaximal, complemented
23#37781C212yesmaximal, complemented
24#37351C212yesmaximal, complemented
25#36264C212yesmaximal, complemented
26#35750C211yesmaximal, characteristic, complemented
27#35513C212yesmaximal, complemented
28#35298C212yesmaximal, complemented
29#34871C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×H(3,𝔽4)C2212yescomplemented
32C2×#556C2211yescharacteristic, complemented
33C2×#551C2214yescomplemented
34C2×#547C2211yescharacteristic
35C2×#546C2212yes—
36C2×#546C2212yescomplemented
37C2×#537C2212yes—
38C2×#535C2212yes—
39C2×#535C2211yescharacteristic, complemented
40C2×#533C2212yescomplemented
41C2×#532C2212yes—
42#2868C2211yescharacteristic, complemented
43#2862C2212yescomplemented
44#2860C2212yescomplemented
45#2858C2212yescomplemented
46#2858C2212yescomplemented
47#2854C2212yescomplemented
48#2842C2212yescomplemented
49#2829C2214yescomplemented
50#2829C2214yescomplemented
51#2826C2214yescomplemented
52#2823C2212yescomplemented
53#2819C2212yescomplemented
54#2813C2212yescomplemented
55#2803C2214yescomplemented
56#2795C2212yescomplemented
57#2788C2214yescomplemented
58#2781C2214yescomplemented
59#2781C2214yescomplemented
60#2781C2214yescomplemented
61#2780C2214yescomplemented
62#2768C2214yescomplemented
63#2761C2214yescomplemented
64#2756C2214yescomplemented
65#2753C2214yescomplemented
66#2753C2214yescomplemented
67#2751C2214yescomplemented
68#2750C2214yescomplemented
69#2735C2212yescomplemented
70#2733C2212yescomplemented
71#2730C2214yescomplemented
72#2730C2214yescomplemented
73#2718C2214yescomplemented
74#2718C2214yescomplemented
75#2715C2214yescomplemented
76#2715C2214yescomplemented
77#2711C2214yescomplemented
78#2711C2214yescomplemented
79#2707C2214yescomplemented
80#2705C2214yescomplemented
81#2704C2214yescomplemented
82#2702C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2214yescomplemented
85#2697C2214yescomplemented
86#2691C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2682C2214yescomplemented
95#2681C2214yescomplemented
96#2680C2212yescomplemented
97#2679C2214yescomplemented
98#2679C2212yescomplemented
99#2679C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2672C2214yescomplemented
104#2672C2214yescomplemented
105#2671C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2668C2212yescomplemented
109#2661C2212yescomplemented
110#2648C2214yescomplemented
111#2636C2214yescomplemented
112#2636C2214yescomplemented
113#2630C2214yescomplemented
114#2625C2211yescharacteristic, complemented
115#2620C2212yescomplemented
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2620C2214yescomplemented
119#2620C2214yescomplemented
120#2618C2212yescomplemented
121#2616C2211yescharacteristic, complemented
122#2613C2212yes—
123#2612C2211yescharacteristic, complemented
124#2610C2212yescomplemented
125#2610C2214yescomplemented
126#2609C2211yescharacteristic, complemented
127#2603C2214yescomplemented
128#2602C2214yescomplemented
129#2591C2212yescomplemented
130#2586C2211yescharacteristic, complemented
131#2572C2211yescharacteristic, complemented
132#2568C2211yescharacteristic, complemented
133#2566C2214yescomplemented
134#2566C2214yescomplemented
135#2559C2214yescomplemented
136#2554C2212yescomplemented
137#2554C2214yescomplemented
138#2548C2212yescomplemented
139#2548C2212yescomplemented
140#2545C2212yescomplemented
141#2545C2212yescomplemented
142#2545C2212yescomplemented
143#2545C2212yescomplemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2542C2211yescharacteristic, complemented
147#2537C2212yescomplemented
148#2534C2214yescomplemented
149#2532C2212yescomplemented
150#2526C2212yescomplemented
151#2512C2212yescomplemented
152#2511C2212yescomplemented
153#2502C2212yescomplemented
154#2500C2212yescomplemented
155#2500C2214yescomplemented
156#2500C2214yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2479C2212yescomplemented
160#2476C2214yescomplemented
161#2476C2214yescomplemented
162#2476C2214yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2471C2212yescomplemented
167#2465C2214yescomplemented
168#2461C2214yescomplemented
169#2459C2214yescomplemented
170#2459C2214yescomplemented
171#2458C2214yescomplemented
172#2452C2212yescomplemented
173#2450C2214yescomplemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2447C2212yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2440C2212yescomplemented
180#2437C2212yescomplemented
181#2437C2214yescomplemented
182#2435C2212yescomplemented
183#2435C2212yescomplemented
184#2435C2211yescharacteristic, complemented
185#2435C2211yescharacteristic, complemented
186#2433C2212yes—
187#2433C2212yes—
188#2433C2212yescomplemented
189#2432C2212yescomplemented
190#2432C2212yescomplemented
191#2432C2212yescomplemented
192#2432C2212yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2431C2212yes—
196#2431C2212yes—
197#2430C2212yes—
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2427C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2214yescomplemented
203#2426C2214yescomplemented
204#2426C2212yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2423C2212yescomplemented
211#2417C2212yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2411C2214yescomplemented
215#2410C2214yes—
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2211yescharacteristic
221#2408C2211yescharacteristic, complemented
222#2408C2214yescomplemented
223#2408C2214yescomplemented
224#2407C2212yes—
225#2407C2214yescomplemented
226#2407C2214yescomplemented
227#2406C2212yescomplemented
228#2405C2214yescomplemented
229#2396C2212yescomplemented
230#2395C2211yescharacteristic, complemented
231#2388C2211yescharacteristic
232C2×#394C2212yescomplemented
233#2375C2214yescomplemented
234#2367C2212yescomplemented
235#2361C2212yescomplemented
236#2360C2212yescomplemented
237#2358C2214yescomplemented
238#2342C2214yescomplemented
239#2341C2212yescomplemented
240#2341C2211yescharacteristic, complemented
241#2339C2211yescharacteristic, complemented
242D4×C22⋊C4C2212yescomplemented
243#2326C2214yescomplemented
244#2326C2214yescomplemented
245#2323C2212yescomplemented
246#2321C2214yescomplemented
247#2318C2214yescomplemented
248#2317C2212yescomplemented
249#2311C2212yescomplemented
250C4×#127C2212yescomplemented
251C4×#126C2212yescomplemented
252C4×#124C2211yescharacteristic, complemented
253C4×#123C2212yescomplemented
254#2297C2212yescomplemented
255#2293C2212yescomplemented
256#2293C2211yescharacteristic, complemented
257C2×#390C2212yescomplemented
258C4×#117C2212yescomplemented
259C2×H(5,𝔽2)—44no—
260C2×H(5,𝔽2)—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272H(3,𝔽4)—48no—
273#556—44no—
274#551—416no—
275#547—44no—
276#546—48no—
277#546—48no—
278#537—48no—
279#535—48no—
280#535—44no—
281#533—48no—
282#532—48no—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#126C2312yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#125C2314yes—
296C2×#124C2314yes—
297C2×#124C2311yescharacteristic
298C2×#124C2312yes—
299C2×#124C2314yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C42C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2311yescharacteristic
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#399C2312yes—
393#399C2312yes—
394#399C2314yes—
395#399C2311yescharacteristic
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#398C2311yescharacteristic
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2311yescharacteristic
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#395C2312yes—
439#395C2311yescharacteristic
440#395C2314yes—
441#395C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2311yescharacteristic
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#393C2314yes—
495#393C2311yescharacteristic
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2311yescharacteristic
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#384C2312yes—
667#384C2312yes—
668#384C2314yes—
669#384C2312yes—
670#384C2312yes—
671#383C2312yes—
672#382C2311yescharacteristic
673#382C2314yes—
674#382C2314yes—
675#382C2312yes—
676#381C2312yes—
677#381C2314yes—
678#381C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2314yes—
687#380C2314yes—
688#379C2314yes—
689#379C2312yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2312yes—
721#376C2312yes—
722C2×#95C2312yes—
723C43C2312yes—
724C43C2311yescharacteristic
725C25C2414yes—
726C25C2412yes—
727C25C2412yes—
728H(5,𝔽2)—464no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—42no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—48no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—44no—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2414yes—
748C22×Q8C2411yescharacteristic
749C22×D4—28no—
750C22×D4—28no—
751C22×D4—44no—
752C22×D4—48no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—42no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C4⋊Q8—44no—
798C4⋊Q8—44no—
799C4⋊Q8—44no—
800C4⋊Q8—42no—
801C4⋊Q8—42no—
802#127—28no—
803#127—44no—
804#127—44no—
805#126—44no—
806#126—48no—
807#126—48no—
808#126—48no—
809#125—48no—
810#124—28no—
811#124—216no—
812#124—24no—
813#124—48no—
814#124—44no—
815#124—44no—
816#124—44no—
817#124—44no—
818#124—44no—
819#124—44no—
820#124—48no—
821#124—48no—
822#124—48no—
823#123—44no—
824#123—48no—
825#123—48no—
826#123—48no—
827#123—44no—
828#123—44no—
829#123—48no—
830#123—48no—
831C22⋊Q8—28no—
832C22⋊Q8—28no—
833C22⋊Q8—48no—
834C22⋊Q8—44no—
835C22⋊Q8—48no—
836C22⋊Q8—48no—
837C22⋊Q8—48no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—42no—
841C22⋊Q8—42no—
842#121—28no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—48no—
854#121—44no—
855#121—44no—
856#121—44no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—44no—
862#120—48no—
863#120—44no—
864#120—48no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—48no—
870C4×Q8—42no—
871C4×Q8—48no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—28no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—48no—
883C4×D4—48no—
884C4×D4—42no—
885#117—28no—
886#117—28no—
887#117—42no—
888#117—44no—
889#117—44no—
890#117—48no—
891#117—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C22⋊C4—48no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C42—28no—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2411yescharacteristic
1056#95C2414yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084C24—28no—
1085C24—28no—
1086C24—44no—
1087C24—42no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—42no—
1095C24—42no—
1096C24—44no—
1097C24—42no—
1098C24—42no—
1099C24—44no—
1100C24—42no—
1101C24C2514yes—
1102C24C2511yescharacteristic
1103C24C2511yescharacteristic
1104C24C2514yes—
1105C24C2512yes—
1106C24C2512yes—
1107#41—416no—
1108#41—432no—
1109#41—416no—
1110#41—432no—
1111#41—816no—
1112#41—88no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—22no—
1118C2×Q8—24no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—28no—
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—41no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—432no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—41no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—464no—
1192C2×D4—432no—
1193C2×D4—416no—
1194C2×D4—88no—
1195C2×D4H(5,𝔽2)14yes—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4H(5,𝔽2)18yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
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—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—24no—
1385C42—41no—
1386C42—42no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42H(5,𝔽2)14yescomplemented
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—24no—
1397C23—22no—
1398C23—24no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—24no—
1405C23—21no—
1406C23—21no—
1407C23—24no—
1408C23—22no—
1409C23—21no—
1410C23—24no—
1411C23—21no—
1412C23—24no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—21no—
1424C23—24no—
1425C23—24no—
1426C23—21no—
1427C23—416no—
1428C23—48no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—84no—
1434C23—88no—
1435C23—164no—
1436C23—164no—
1437C23—162no—
1438C23—162no—
1439C23—164no—
1440C23—164no—
1441C23—162no—
1442C23—162no—
1443C23—164no—
1444C23C2×H(5,𝔽2)14yes—
1445C23C2×H(5,𝔽2)14yes—
1446C23C2611yescharacteristic
1447Q8—44no—
1448Q8—44no—
1449Q8—48no—
1450Q8—44no—
1451Q8—88no—
1452Q8—82no—
1453D4—28no—
1454D4—48no—
1455D4—416no—
1456D4—44no—
1457D4—416no—
1458D4—48no—
1459D4—48no—
1460D4—48no—
1461D4—48no—
1462D4—88no—
1463D4—82no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—84no—
1471D4—84no—
1472D4—164no—
1473D4—164no—
1474D4—164no—
1475D4—164no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—216no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—48no—
1535C2×C4—48no—
1536C2×C4—48no—
1537C2×C4—416no—
1538C2×C4—48no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—88no—
1542C2×C4—84no—
1543C2×C4—164no—
1544C2×C4—164no—
1545C2×C4—164no—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)14yes—
1548C2×C4C2×H(5,𝔽2)14yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)14yes—
1551C2×C4#58514yes—
1552C22—24no—
1553C22—24no—
1554C22—24no—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—42no—
1559C22—42no—
1560C22—44no—
1561C22—42no—
1562C22—44no—
1563C22—42no—
1564C22—44no—
1565C22—44no—
1566C22—41no—
1567C22—41no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—41no—
1576C22—41no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—42no—
1584C22—44no—
1585C22—41no—
1586C22—41no—
1587C22—44no—
1588C22—1616no—
1589C22—168no—
1590C22—168no—
1591C22C22×H(5,𝔽2)11yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C22×H(5,𝔽2)12yes—
1594C22C2×#58512yes—
1595C222−1+611yescharacteristic
1596C4—24no—
1597C4—22no—
1598C4—24no—
1599C4—24no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—44no—
1607C4—44no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—44no—
1617C4—42no—
1618C4#353214yes—
1619C2—44no—
1620C2—44no—
1621C2—84no—
1622C2—84no—
1623C2—81no—
1624C2—81no—
1625C2C2×#353211yescharacteristic
1626C2#6283412yes—
1627C2#6291411yescharacteristic
1628C2#6295412yes—
1629C2#6302411yescharacteristic
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. #59094C2semidirect
2. #58588C2semidirect
3. #57988C2semidirect
4. #56302C2semidirect
5. #53018C2semidirect
6. #51785C2semidirect
7. #51441C2semidirect
8. #49750C2semidirect
9. #47807C2semidirect
10. #47082C2semidirect
11. #46061C2semidirect
12. #45996C2semidirect
13. #45103C2semidirect
14. #44955C2semidirect
15. #43198C2semidirect
16. #42967C2semidirect
17. #42520C2semidirect
18. #41983C2semidirect
19. #39888C2semidirect
20. #39532C2semidirect
21. #39488C2semidirect
22. #39355C2semidirect
23. #37781C2semidirect
24. #37351C2semidirect
25. #36264C2semidirect
26. #35750C2semidirect
27. #35513C2semidirect
28. #35298C2semidirect
29. #34871C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×H(3,𝔽4)C22semidirect
32. C2×#556C22semidirect
33. C2×#551C22semidirect
36. C2×#546C22semidirect
39. C2×#535C22semidirect
40. C2×#533C22semidirect
42. #2868C22semidirect
43. #2862C22semidirect
44. #2860C22semidirect
45. #2858C22semidirect
46. #2858C22semidirect
47. #2854C22semidirect
48. #2842C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2826C22semidirect
52. #2823C22semidirect
53. #2819C22semidirect
54. #2813C22semidirect
55. #2803C22semidirect
56. #2795C22semidirect
57. #2788C22semidirect
58. #2781C22semidirect
59. #2781C22semidirect
60. #2781C22semidirect
61. #2780C22semidirect
62. #2768C22semidirect
63. #2761C22semidirect
64. #2756C22semidirect
65. #2753C22semidirect
66. #2753C22semidirect
67. #2751C22semidirect
68. #2750C22semidirect
69. #2735C22semidirect
70. #2733C22semidirect
71. #2730C22semidirect
72. #2730C22semidirect
73. #2718C22semidirect
74. #2718C22semidirect
75. #2715C22semidirect
76. #2715C22semidirect
77. #2711C22semidirect
78. #2711C22semidirect
79. #2707C22semidirect
80. #2705C22semidirect
81. #2704C22semidirect
82. #2702C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2697C22semidirect
86. #2691C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
95. #2681C22semidirect
96. #2680C22semidirect
97. #2679C22semidirect
98. #2679C22semidirect
99. #2679C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2672C22semidirect
104. #2672C22semidirect
105. #2671C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2668C22semidirect
109. #2661C22semidirect
110. #2648C22semidirect
111. #2636C22semidirect
112. #2636C22semidirect
113. #2630C22semidirect
114. #2625C22semidirect
115. #2620C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2620C22semidirect
120. #2618C22semidirect
121. #2616C22semidirect
123. #2612C22semidirect
124. #2610C22semidirect
125. #2610C22semidirect
126. #2609C22semidirect
127. #2603C22semidirect
128. #2602C22semidirect
129. #2591C22semidirect
130. #2586C22semidirect
131. #2572C22semidirect
132. #2568C22semidirect
133. #2566C22semidirect
134. #2566C22semidirect
135. #2559C22semidirect
136. #2554C22semidirect
137. #2554C22semidirect
138. #2548C22semidirect
139. #2548C22semidirect
140. #2545C22semidirect
141. #2545C22semidirect
142. #2545C22semidirect
143. #2545C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2542C22semidirect
147. #2537C22semidirect
148. #2534C22semidirect
149. #2532C22semidirect
150. #2526C22semidirect
151. #2512C22semidirect
152. #2511C22semidirect
153. #2502C22semidirect
154. #2500C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2479C22semidirect
160. #2476C22semidirect
161. #2476C22semidirect
162. #2476C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2471C22semidirect
167. #2465C22semidirect
168. #2461C22semidirect
169. #2459C22semidirect
170. #2459C22semidirect
171. #2458C22semidirect
172. #2452C22semidirect
173. #2450C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
176. #2447C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2440C22semidirect
180. #2437C22semidirect
181. #2437C22semidirect
182. #2435C22semidirect
183. #2435C22semidirect
184. #2435C22semidirect
185. #2435C22semidirect
188. #2433C22semidirect
189. #2432C22semidirect
190. #2432C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2427C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2423C22semidirect
211. #2417C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
214. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2406C22semidirect
228. #2405C22semidirect
229. #2396C22semidirect
230. #2395C22semidirect
232. C2×#394C22semidirect
233. #2375C22semidirect
234. #2367C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2358C22semidirect
238. #2342C22semidirect
239. #2341C22semidirect
240. #2341C22semidirect
241. #2339C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2326C22semidirect
244. #2326C22semidirect
245. #2323C22semidirect
246. #2321C22semidirect
247. #2318C22semidirect
248. #2317C22semidirect
249. #2311C22semidirect
250. C4×#127C22semidirect
251. C4×#126C22semidirect
252. C4×#124C22semidirect
253. C4×#123C22semidirect
254. #2297C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
257. C2×#390C22semidirect
258. C4×#117C22semidirect
1392. C42H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#590942
#585882
#579882
#563022
#530182
#517852
#514412
#497502
#478072
#470822
#460612
#459962
#451032
#449552
#431982
#429672
#425202
#419832
#398882
#395322
#394882
#393552
#377812
#373512
#362642
#357502
#355132
#352982
#348712