Finite Group Databasebeta

← #7737961

Subgroups — #7737961

Order 512.

6698 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59623C212yesmaximal, complemented
2#59029C214yesmaximal, complemented
3#58992C212yesmaximal, complemented
4#48971C212yesmaximal, complemented
5#48149C214yesmaximal, complemented
6#48088C212yesmaximal, complemented
7#44242C214yesmaximal, complemented
8#44066C214yesmaximal, complemented
9#43368C214yesmaximal, complemented
10#43118C214yesmaximal, complemented
11#39064C212yesmaximal, complemented
12#39042C212yesmaximal, complemented
13#38250C212yesmaximal, complemented
14#37748C212yesmaximal, complemented
15#37346C212yesmaximal, complemented
16#37306C211yesmaximal, characteristic, complemented
17#37269C211yesmaximal, characteristic, complemented
18#36368C212yesmaximal, complemented
19#36147C212yesmaximal, complemented
20#36123C212yesmaximal, complemented
21#36121C212yesmaximal, complemented
22#35527C211yesmaximal, characteristic, complemented
23#35524C212yesmaximal, complemented
24#35512C211yesmaximal, characteristic, complemented
25#35044C212yesmaximal, complemented
26#34681C212yesmaximal, complemented
27#34411C211yesmaximal, characteristic, complemented
28#34256C211yesmaximal, characteristic, complemented
29#34152C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#546C2214yescomplemented
32C2×#546C2214yescomplemented
33C2×#535C2211yescharacteristic
34C2×#535C2211yescharacteristic, complemented
35C2×#532C2212yescomplemented
36C2×#532C2212yescomplemented
37C22×#127C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic, complemented
40C2×#525C2214yescomplemented
41C22×#121C2211yescharacteristic, complemented
42C2×#518C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic, complemented
44#2863C2212yescomplemented
45#2858C2212yescomplemented
46#2857C2212yescomplemented
47#2856C2212yescomplemented
48#2855C2212yescomplemented
49#2854C2212yescomplemented
50#2850C2212yescomplemented
51#2847C2212yescomplemented
52#2811C2212yescomplemented
53#2809C2212yescomplemented
54#2804C2212yescomplemented
55#2797C2214yescomplemented
56#2797C2214yescomplemented
57#2786C2214yescomplemented
58#2784C2214yescomplemented
59#2749C2214yescomplemented
60#2749C2214yescomplemented
61#2740C2214yescomplemented
62#2737C2214yescomplemented
63#2737C2214yescomplemented
64#2735C2214yescomplemented
65#2730C2214yescomplemented
66#2730C2214yescomplemented
67#2709C2212yescomplemented
68#2708C2214yescomplemented
69#2697C2214yescomplemented
70#2697C2212yescomplemented
71#2696C2214yescomplemented
72#2696C2214yescomplemented
73#2692C2214yescomplemented
74#2692C2214yescomplemented
75#2688C2214yescomplemented
76#2688C2214yescomplemented
77#2686C2214yescomplemented
78#2686C2214yescomplemented
79#2684C2214yescomplemented
80#2684C2214yescomplemented
81#2684C2214yescomplemented
82#2683C2212yescomplemented
83#2679C2212yescomplemented
84#2676C2214yescomplemented
85#2669C2212yescomplemented
86#2668C2214yescomplemented
87#2668C2214yescomplemented
88#2648C2214yescomplemented
89#2644C2212yescomplemented
90#2640C2212yescomplemented
91#2631C2214yescomplemented
92#2628C2212yescomplemented
93#2624C2212yescomplemented
94#2600C2214yescomplemented
95#2600C2214yescomplemented
96#2597C2214yescomplemented
97#2597C2214yescomplemented
98#2578C2214yescomplemented
99#2573C2214yescomplemented
100#2572C2214yescomplemented
101#2564C2214yescomplemented
102#2561C2214yescomplemented
103#2557C2214yescomplemented
104#2557C2214yescomplemented
105#2557C2214yescomplemented
106#2555C2214yescomplemented
107#2544C2214yescomplemented
108#2543C2214yescomplemented
109#2534C2214yescomplemented
110#2513C2212yescomplemented
111#2511C2212yescomplemented
112#2492C2212yescomplemented
113#2491C2212yescomplemented
114#2485C2212yescomplemented
115#2477C2214yescomplemented
116#2472C2214yescomplemented
117#2472C2214yescomplemented
118#2472C2214yescomplemented
119#2472C2214yescomplemented
120#2471C2214yescomplemented
121#2464C2214yescomplemented
122#2464C2214yescomplemented
123#2463C2214yescomplemented
124#2463C2214yescomplemented
125#2461C2214yescomplemented
126#2461C2214yescomplemented
127#2459C2214yescomplemented
128#2459C2214yescomplemented
129#2459C2214yescomplemented
130#2457C2214yescomplemented
131#2457C2214yescomplemented
132#2456C2214yescomplemented
133#2456C2214yescomplemented
134#2452C2212yescomplemented
135#2452C2212yescomplemented
136#2447C2212yescomplemented
137#2445C2214yescomplemented
138#2445C2212yescomplemented
139#2445C2212yescomplemented
140#2445C2212yescomplemented
141#2444C2214yescomplemented
142#2444C2214yescomplemented
143#2440C2212yescomplemented
144#2440C2212yescomplemented
145#2439C2212yescomplemented
146#2439C2212yescomplemented
147#2435C2214yescomplemented
148#2433C2212yes—
149#2433C2212yes—
150#2433C2212yes—
151#2433C2212yescomplemented
152#2431C2212yes—
153#2431C2214yescomplemented
154#2431C2212yescomplemented
155#2431C2212yescomplemented
156#2431C2212yescomplemented
157#2430C2214yescomplemented
158#2430C2214yescomplemented
159#2428C2212yescomplemented
160#2428C2214yescomplemented
161#2428C2212yescomplemented
162#2428C2212yescomplemented
163#2427C2212yescomplemented
164#2424C2214yescomplemented
165#2424C2214yescomplemented
166#2424C2214yescomplemented
167#2422C2212yescomplemented
168#2420C2212yescomplemented
169#2419C2214yescomplemented
170#2418C2214yescomplemented
171#2418C2214yescomplemented
172#2416C2212yescomplemented
173#2414C2212yescomplemented
174#2411C2214yescomplemented
175#2410C2214yescomplemented
176#2408C2214yes—
177#2408C2212yes—
178#2408C2214yescomplemented
179#2408C2212yescomplemented
180#2408C2212yescomplemented
181#2407C2212yes—
182#2407C2214yescomplemented
183#2407C2214yescomplemented
184#2407C2212yescomplemented
185#2405C2212yes—
186#2405C2212yescomplemented
187#2404C2214yescomplemented
188#2404C2214yescomplemented
189#2404C2214yescomplemented
190#2403C2214yes—
191#2403C2212yes—
192#2403C2214yescomplemented
193#2403C2212yescomplemented
194#2392C2214yescomplemented
195#2388C2214yescomplemented
196#2380C2212yescomplemented
197#2375C2212yescomplemented
198#2374C2211yescharacteristic, complemented
199#2374C2212yescomplemented
200#2374C2211yescharacteristic, complemented
201#2368C2214yescomplemented
202#2368C2212yescomplemented
203#2368C2212yescomplemented
204#2366C2212yescomplemented
205#2364C2212yescomplemented
206#2364C2214yescomplemented
207#2364C2212yescomplemented
208#2363C2212yescomplemented
209#2361C2212yescomplemented
210#2359C2214yescomplemented
211#2358C2214yescomplemented
212#2358C2212yescomplemented
213#2358C2211yescharacteristic, complemented
214#2358C2211yescharacteristic, complemented
215#2358C2212yescomplemented
216#2347C2212yescomplemented
217#2339C2212yescomplemented
218#2339C2214yescomplemented
219#2339C2214yescomplemented
220#2339C2212yescomplemented
221D4×C22⋊C4C2214yes—
222D4×C22⋊C4C2214yescomplemented
223D4×C22⋊C4C2212yescomplemented
224D4×C22⋊C4C2212yescomplemented
225D4×C22⋊C4C2212yescomplemented
226#2337C2214yescomplemented
227#2337C2214yescomplemented
228#2333C2214yescomplemented
229#2328C2212yescomplemented
230#2324C2212yescomplemented
231#2321C2214yescomplemented
232#2319C2212yescomplemented
233#2311C2211yescharacteristic
234#2311C2211yescharacteristic
235#2311C2211yescharacteristic, complemented
236#2311C2211yescharacteristic, complemented
237#2309C2211yescharacteristic, complemented
238#2309C2211yescharacteristic, complemented
239#2308C2212yescomplemented
240#2308C2212yescomplemented
241C4×#127C2212yescomplemented
242C4×#121C2212yescomplemented
243C4×#121C2212yescomplemented
244C4×#121C2212yescomplemented
245C4×#120C2214yescomplemented
246#2298C2212yescomplemented
247#2297C2211yescharacteristic
248#2297C2211yescharacteristic
249#2297C2211yescharacteristic, complemented
250#2297C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2290C2212yescomplemented
253#2290C2212yescomplemented
254C2×#386C2212yescomplemented
255C2×#386C2212yescomplemented
256C42×D4C2212yescomplemented
257C42×D4C2212yescomplemented
258C2×C4×C22⋊C4C2212yescomplemented
259C2×H(5,𝔽2)—28no—
260C2×H(5,𝔽2)—44no—
261C2×H(5,𝔽2)—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2314yes—
267C22×#41C2314yes—
268C22×#41C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2311yescharacteristic
276C23×D4C2314yes—
277C23×D4C2312yes—
278C24×C4C2311yescharacteristic
279C24×C4C2312yes—
280#546—416no—
281#546—416no—
282#535—28no—
283#535—44no—
284#532—48no—
285#532—48no—
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2312yes—
288C2×#127—44no—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302#525—28no—
303#525—416no—
304#525—44no—
305C2×#123C2314yes—
306C2×#123C2311yescharacteristic
307C2×#123C2311yescharacteristic
308C2×#123C2314yes—
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×#121—44no—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#120C2312yes—
341C2×#120C2311yescharacteristic
342C2×#120C2311yescharacteristic
343C2×#120C2312yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354#518—44no—
355C2×C4×D4—44no—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2314yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
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#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
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#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#388C2312yes—
533#388C2314yes—
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#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#386C2311yescharacteristic
581#386C2311yescharacteristic
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2312yes—
595#386C2312yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2311yescharacteristic
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2311yescharacteristic
632#386C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#384C2312yes—
658#383C2314yes—
659#383C2314yes—
660#382C2312yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#380C2314yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682#379C2312yes—
683#379C2312yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C2×#95C2312yes—
726C2×#95C2312yes—
727C43C2312yes—
728C25C2411yescharacteristic
729C25C2412yes—
730C25C2412yes—
731C25C2412yes—
732C25C2412yes—
733H(5,𝔽2)—464no—
734C2×#41—28no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—24no—
739C2×#41—24no—
740C2×#41—42no—
741C2×#41—42no—
742C2×#41—48no—
743C2×#41—44no—
744C2×#41—44no—
745C2×#41—48no—
746C2×#41—48no—
747C2×#41—48no—
748C2×#41—48no—
749C2×#41—42no—
750C2×#41—42no—
751C2×#41—42no—
752C2×#41—42no—
753C2×#41—48no—
754C2×#41#4118yescomplemented
755C22×Q8C2411yescharacteristic
756C22×Q8C2414yes—
757C22×Q8C2414yes—
758C22×Q8C2411yescharacteristic
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—28no—
762C22×D4—28no—
763C22×D4—28no—
764C22×D4—24no—
765C22×D4—24no—
766C22×D4—24no—
767C22×D4—24no—
768C22×D4—24no—
769C22×D4—24no—
770C22×D4—42no—
771C22×D4—42no—
772C22×D4—42no—
773C22×D4—42no—
774C22×D4—48no—
775C22×D4—48no—
776C22×D4—44no—
777C22×D4—44no—
778C22×D4—44no—
779C22×D4—44no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—44no—
783C22×D4—48no—
784C22×D4—48no—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2411yescharacteristic
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2411yescharacteristic
799C22×D4C2411yescharacteristic
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2411yescharacteristic
812C22×D4C2411yescharacteristic
813C22×D4C2411yescharacteristic
814C23×C4—24no—
815C23×C4—42no—
816C23×C4—42no—
817C23×C4—48no—
818C23×C4—44no—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#127—28no—
846#127—28no—
847#127—28no—
848#127—44no—
849#127—44no—
850#127—44no—
851#124—28no—
852#124—48no—
853#124—48no—
854#124—44no—
855#124—48no—
856#124—48no—
857#124—48no—
858#123—24no—
859#123—24no—
860#123—216no—
861#123—44no—
862#123—48no—
863#123—48no—
864#123—48no—
865#123—48no—
866C22⋊Q8—28no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878#121—216no—
879#121—216no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—44no—
890#121—44no—
891#121—48no—
892#120—24no—
893#120—24no—
894#120—28no—
895#120—28no—
896#120—48no—
897#120—48no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—44no—
903#120—48no—
904#120—48no—
905#120—48no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—48no—
929#117—24no—
930#117—24no—
931#117—42no—
932#117—42no—
933#117—48no—
934#117—42no—
935#117—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C22⋊C4—28no—
969C2×C22⋊C4—44no—
970C2×C22⋊C4—48no—
971C2×C22⋊C4—48no—
972C2×C22⋊C4—48no—
973C2×C22⋊C4—44no—
974C2×C22⋊C4—44no—
975C2×C22⋊C4—44no—
976C2×C22⋊C4—44no—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C42—42no—
1048C2×C42—42no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118C24—24no—
1119C24—24no—
1120C24—24no—
1121C24—22no—
1122C24—24no—
1123C24—24no—
1124C24—24no—
1125C24—24no—
1126C24—24no—
1127C24—24no—
1128C24—42no—
1129C24—41no—
1130C24—42no—
1131C24—42no—
1132C24—44no—
1133C24—41no—
1134C24—44no—
1135C24—42no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—42no—
1143C24C2512yes—
1144C24C2514yes—
1145C24C2511yescharacteristic
1146C24C2511yescharacteristic
1147C24C2511yescharacteristic
1148C24C2512yes—
1149C24C2512yes—
1150C24C2512yes—
1151#41—416no—
1152#41—416no—
1153#41—416no—
1154#41—416no—
1155#41—432no—
1156#41—832no—
1157#41—832no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—28no—
1162C2×Q8—41no—
1163C2×Q8—41no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8C2×#4114yes—
1170C2×D4—232no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—24no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—416no—
1216C2×D4—416no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—42no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—41no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—432no—
1256C2×D4—432no—
1257C2×D4—432no—
1258C2×D4—88no—
1259C2×D4—832no—
1260C2×D4—816no—
1261C2×D4C2×#4114yes—
1262C2×D4C2×#4114yes—
1263C2×D4C2×#4114yes—
1264C2×D4H(5,𝔽2)14yes—
1265C2×D4H(5,𝔽2)14yes—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—41no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—88no—
1332C22×C4—816no—
1333C22×C4C2×#4114yes—
1334C22×C4C2×#4114yes—
1335C22×C4C2×#4114yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2514yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
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—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
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—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4H(5,𝔽2)18yescomplemented
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—41no—
1472C42—41no—
1473C42—44no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C23—216no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—21no—
1487C23—24no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—22no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—44no—
1518C23—48no—
1519C23—48no—
1520C23—48no—
1521C23—84no—
1522C23—82no—
1523C23—84no—
1524C23—88no—
1525C23—84no—
1526C23—88no—
1527C23—84no—
1528C23—88no—
1529C23—84no—
1530C23—84no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—82no—
1535C23—88no—
1536C23—162no—
1537C23—162no—
1538C23—164no—
1539C23—162no—
1540C23—162no—
1541C23C22×#4112yes—
1542C23C22×#4112yes—
1543C23C22×#4112yes—
1544C23C2×H(5,𝔽2)14yes—
1545C23C2×H(5,𝔽2)14yes—
1546C23C2×H(5,𝔽2)14yes—
1547C23C2611yescharacteristic
1548Q8—44no—
1549Q8—44no—
1550Q8—88no—
1551Q8—88no—
1552D4—216no—
1553D4—28no—
1554D4—28no—
1555D4—44no—
1556D4—44no—
1557D4—44no—
1558D4—48no—
1559D4—48no—
1560D4—416no—
1561D4—416no—
1562D4—48no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—416no—
1567D4—416no—
1568D4—48no—
1569D4—44no—
1570D4—48no—
1571D4—88no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—28no—
1594C2×C4—28no—
1595C2×C4—28no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—416no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—82no—
1652C2×C4—88no—
1653C2×C4—82no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4—164no—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C2×H(5,𝔽2)14yes—
1664C2×C4C2×H(5,𝔽2)14yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4#58514yes—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—28no—
1672C22—24no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—24no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—44no—
1700C22—44no—
1701C22—42no—
1702C22—44no—
1703C22—44no—
1704C22—44no—
1705C22—44no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—44no—
1710C22—44no—
1711C22—44no—
1712C22—816no—
1713C22—88no—
1714C22—168no—
1715C22—168no—
1716C22—168no—
1717C22C23×#4111yescharacteristic
1718C22C22×H(5,𝔽2)12yes—
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C2×#58512yes—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—44no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4—42no—
1733C4—44no—
1734C4—44no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4#349014yes—
1743C2—44no—
1744C2—42no—
1745C2—44no—
1746C2—44no—
1747C2—42no—
1748C2—42no—
1749C2—84no—
1750C2—82no—
1751C2C2×#349011yescharacteristic
1752C2#6280012yes—
1753C2#6301111yescharacteristic
1754C2#6301212yes—
1755C2#6302111yescharacteristic
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. #59623C2semidirect
2. #59029C2semidirect
3. #58992C2semidirect
4. #48971C2semidirect
5. #48149C2semidirect
6. #48088C2semidirect
7. #44242C2semidirect
8. #44066C2semidirect
9. #43368C2semidirect
10. #43118C2semidirect
11. #39064C2semidirect
12. #39042C2semidirect
13. #38250C2semidirect
14. #37748C2semidirect
15. #37346C2semidirect
16. #37306C2semidirect
17. #37269C2semidirect
18. #36368C2semidirect
19. #36147C2semidirect
20. #36123C2semidirect
21. #36121C2semidirect
22. #35527C2semidirect
23. #35524C2semidirect
24. #35512C2semidirect
25. #35044C2semidirect
26. #34681C2semidirect
27. #34411C2semidirect
28. #34256C2semidirect
29. #34152C2semidirect
31. C2×#546C22semidirect
32. C2×#546C22semidirect
34. C2×#535C22semidirect
35. C2×#532C22semidirect
36. C2×#532C22semidirect
37. C22×#127C22semidirect
39. C2×#525C22semidirect
40. C2×#525C22semidirect
41. C22×#121C22semidirect
42. C2×#518C22semidirect
43. C22×C4×D4C22semidirect
44. #2863C22semidirect
45. #2858C22semidirect
46. #2857C22semidirect
47. #2856C22semidirect
48. #2855C22semidirect
49. #2854C22semidirect
50. #2850C22semidirect
51. #2847C22semidirect
52. #2811C22semidirect
53. #2809C22semidirect
54. #2804C22semidirect
55. #2797C22semidirect
56. #2797C22semidirect
57. #2786C22semidirect
58. #2784C22semidirect
59. #2749C22semidirect
60. #2749C22semidirect
61. #2740C22semidirect
62. #2737C22semidirect
63. #2737C22semidirect
64. #2735C22semidirect
65. #2730C22semidirect
66. #2730C22semidirect
67. #2709C22semidirect
68. #2708C22semidirect
69. #2697C22semidirect
70. #2697C22semidirect
71. #2696C22semidirect
72. #2696C22semidirect
73. #2692C22semidirect
74. #2692C22semidirect
75. #2688C22semidirect
76. #2688C22semidirect
77. #2686C22semidirect
78. #2686C22semidirect
79. #2684C22semidirect
80. #2684C22semidirect
81. #2684C22semidirect
82. #2683C22semidirect
83. #2679C22semidirect
84. #2676C22semidirect
85. #2669C22semidirect
86. #2668C22semidirect
87. #2668C22semidirect
88. #2648C22semidirect
89. #2644C22semidirect
90. #2640C22semidirect
91. #2631C22semidirect
92. #2628C22semidirect
93. #2624C22semidirect
94. #2600C22semidirect
95. #2600C22semidirect
96. #2597C22semidirect
97. #2597C22semidirect
98. #2578C22semidirect
99. #2573C22semidirect
100. #2572C22semidirect
101. #2564C22semidirect
102. #2561C22semidirect
103. #2557C22semidirect
104. #2557C22semidirect
105. #2557C22semidirect
106. #2555C22semidirect
107. #2544C22semidirect
108. #2543C22semidirect
109. #2534C22semidirect
110. #2513C22semidirect
111. #2511C22semidirect
112. #2492C22semidirect
113. #2491C22semidirect
114. #2485C22semidirect
115. #2477C22semidirect
116. #2472C22semidirect
117. #2472C22semidirect
118. #2472C22semidirect
119. #2472C22semidirect
120. #2471C22semidirect
121. #2464C22semidirect
122. #2464C22semidirect
123. #2463C22semidirect
124. #2463C22semidirect
125. #2461C22semidirect
126. #2461C22semidirect
127. #2459C22semidirect
128. #2459C22semidirect
129. #2459C22semidirect
130. #2457C22semidirect
131. #2457C22semidirect
132. #2456C22semidirect
133. #2456C22semidirect
134. #2452C22semidirect
135. #2452C22semidirect
136. #2447C22semidirect
137. #2445C22semidirect
138. #2445C22semidirect
139. #2445C22semidirect
140. #2445C22semidirect
141. #2444C22semidirect
142. #2444C22semidirect
143. #2440C22semidirect
144. #2440C22semidirect
145. #2439C22semidirect
146. #2439C22semidirect
147. #2435C22semidirect
151. #2433C22semidirect
153. #2431C22semidirect
154. #2431C22semidirect
155. #2431C22semidirect
156. #2431C22semidirect
157. #2430C22semidirect
158. #2430C22semidirect
159. #2428C22semidirect
160. #2428C22semidirect
161. #2428C22semidirect
162. #2428C22semidirect
163. #2427C22semidirect
164. #2424C22semidirect
165. #2424C22semidirect
166. #2424C22semidirect
167. #2422C22semidirect
168. #2420C22semidirect
169. #2419C22semidirect
170. #2418C22semidirect
171. #2418C22semidirect
172. #2416C22semidirect
173. #2414C22semidirect
174. #2411C22semidirect
175. #2410C22semidirect
178. #2408C22semidirect
179. #2408C22semidirect
180. #2408C22semidirect
182. #2407C22semidirect
183. #2407C22semidirect
184. #2407C22semidirect
186. #2405C22semidirect
187. #2404C22semidirect
188. #2404C22semidirect
189. #2404C22semidirect
192. #2403C22semidirect
193. #2403C22semidirect
194. #2392C22semidirect
195. #2388C22semidirect
196. #2380C22semidirect
197. #2375C22semidirect
198. #2374C22semidirect
199. #2374C22semidirect
200. #2374C22semidirect
201. #2368C22semidirect
202. #2368C22semidirect
203. #2368C22semidirect
204. #2366C22semidirect
205. #2364C22semidirect
206. #2364C22semidirect
207. #2364C22semidirect
208. #2363C22semidirect
209. #2361C22semidirect
210. #2359C22semidirect
211. #2358C22semidirect
212. #2358C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2347C22semidirect
217. #2339C22semidirect
218. #2339C22semidirect
219. #2339C22semidirect
220. #2339C22semidirect
222. D4×C22⋊C4C22semidirect
223. D4×C22⋊C4C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2337C22semidirect
227. #2337C22semidirect
228. #2333C22semidirect
229. #2328C22semidirect
230. #2324C22semidirect
231. #2321C22semidirect
232. #2319C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2309C22semidirect
238. #2309C22semidirect
239. #2308C22semidirect
240. #2308C22semidirect
241. C4×#127C22semidirect
242. C4×#121C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#120C22semidirect
246. #2298C22semidirect
249. #2297C22semidirect
250. #2297C22semidirect
251. #2293C22semidirect
252. #2290C22semidirect
253. #2290C22semidirect
254. C2×#386C22semidirect
255. C2×#386C22semidirect
256. C42×D4C22semidirect
257. C42×D4C22semidirect
258. C2×C4×C22⋊C4C22semidirect
754. C2×#41#41semidirect
1456. C22⋊C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#596232
#590292
#589922
#489712
#481492
#480882
#442422
#440662
#433682
#431182
#390642
#390422
#382502
#377482
#373462
#373062
#372692
#363682
#361472
#361232
#361212
#355272
#355242
#355122
#350442
#346812
#344112
#342562
#341522