Finite Group Databasebeta

← #72285427

Subgroups — #72285427

Order 1024.

25451 conjugacy classes of subgroups.

The subgroup lattice has 2752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#7712654C211yesmaximal, characteristic, complemented
2C2×#35222C211yesmaximal, characteristic, complemented
3#6745780C218yesmaximal, complemented
4#6745658C214yesmaximal, complemented
5#6745622C214yesmaximal, complemented
6#6668628C218yesmaximal, complemented
7#6668348C214yesmaximal, complemented
8#6668300C214yesmaximal, complemented
9#6632196C214yesmaximal, complemented
10#6632184C214yesmaximal, complemented
11C2×#32878C212yesmaximal, complemented
12#6506692C212yesmaximal, complemented
13#6506435C212yesmaximal, complemented
14#6500319C214yesmaximal, complemented
15#6487481C212yesmaximal, complemented
16#6487440C212yesmaximal, complemented
17#6475903C212yesmaximal, complemented
18#6475851C212yesmaximal, complemented
19#6469941C212yesmaximal, complemented
20#6386514C211yesmaximal, characteristic, complemented
21C25×D4C2211yescharacteristic
22C22×#535C2211yescharacteristic, complemented
23C22×#535C2211yescharacteristic, complemented
24C22×#525C2211yescharacteristic
25C2×#3220C2214yescomplemented
26C2×#3213C2212yescomplemented
27C2×#3205C2212yescomplemented
28C2×#3188C2214yescomplemented
29C22×#447C2214yescomplemented
30C22×#447C2214yescomplemented
31C22×#447C2214yescomplemented
32#59267—22no—
33#58991—22no—
34#45473—22no—
35#45471—22no—
36#37949—22no—
37#37940—22no—
38#37891—22no—
39#37860—22no—
40#37852C2214yescomplemented
41#37662C2214yescomplemented
42#37477C2211yescharacteristic, complemented
43#37450C2211yescharacteristic, complemented
44#37284C2212yescomplemented
45#37283C2212yescomplemented
46C2×#2847C2212yes—
47C2×#2846—22no—
48#36168C2214yescomplemented
49#36123C2214yescomplemented
50#35301C2212yescomplemented
51#35261C2212yescomplemented
52#35222—22no—
53#35222—22no—
54#35222—22no—
55#35222—22no—
56#35222C2212yes—
57#35222C2212yes—
58#35222C2212yescomplemented
59#35222C2218yescomplemented
60#35222C2212yescomplemented
61C2×#2435C2214yescomplemented
62C2×#2433C2214yescomplemented
63C2×#2408—22no—
64C2×#2408—22no—
65C2×#2613—22no—
66#34379C2212yescomplemented
67C2×#2309C2211yescharacteristic, complemented
68C2×#2309C2211yescharacteristic, complemented
69C2×#2280C2211yescharacteristic
70#32981C2214yescomplemented
71#32880C2214yescomplemented
72#32878C2214yes—
73#32878C2214yes—
74#32878C2218yescomplemented
75#32878C2214yescomplemented
76#32878C2218yescomplemented
77#32878C2214yescomplemented
78#31314C2218yescomplemented
79#31310C2218yescomplemented
80#31298C2218yescomplemented
81#31294C2218yescomplemented
82#31008C2218yescomplemented
83#31000C2218yescomplemented
84#30992C2218yescomplemented
85#30984C2218yescomplemented
86#30539C2218yescomplemented
87#30535C2218yescomplemented
88#30523C2218yescomplemented
89#30519C2218yescomplemented
90#30468C2218yescomplemented
91#30468C2218yescomplemented
92#30444C2218yescomplemented
93#30444C2218yescomplemented
94#29959C2214yescomplemented
95#29956C2214yescomplemented
96#29721C2214yescomplemented
97#29712C2214yescomplemented
98#29630C2218yescomplemented
99#29623C2214yescomplemented
100#29622C2214yescomplemented
101#29600C2218yescomplemented
102#29116C2214yescomplemented
103#29115C2214yescomplemented
104#28341C2218yescomplemented
105#28331C2218yescomplemented
106#28319C2214yescomplemented
107#28319C2214yescomplemented
108#28126C2218yescomplemented
109#28126C2218yescomplemented
110#27591C2214yescomplemented
111#27588C2214yescomplemented
112#27264C2218yescomplemented
113#27262C2218yescomplemented
114#27256C2218yescomplemented
115#27254C2218yescomplemented
116#25867C2214yescomplemented
117#25865C2214yescomplemented
118#25865C2214yescomplemented
119#25860C2212yescomplemented
120#25859C2212yescomplemented
121#25788C2218yescomplemented
122#25779C2218yescomplemented
123#25734C2214yescomplemented
124#25734C2214yescomplemented
125#25734C2214yescomplemented
126#25731C2212yescomplemented
127#25721C2212yescomplemented
128#25088C2218yescomplemented
129#25088C2218yescomplemented
130#25076C2218yescomplemented
131#25076C2218yescomplemented
132#24512C2218yescomplemented
133#24506C2214yescomplemented
134#24500C2214yescomplemented
135#24479C2218yescomplemented
136#24478C2218yescomplemented
137#24382C2218yescomplemented
138#24381C2214yescomplemented
139#24378C2214yescomplemented
140#24355C2218yescomplemented
141#24354C2218yescomplemented
142#24218C2218yescomplemented
143#24218C2218yescomplemented
144#24218C2218yescomplemented
145#24215C2214yescomplemented
146#24208C2214yescomplemented
147#24007C2214yescomplemented
148#24006C2212yescomplemented
149#24005C2212yescomplemented
150#23939C2214yescomplemented
151#23930C2214yescomplemented
152#23920C2214yescomplemented
153#23919C2212yescomplemented
154#23918C2212yescomplemented
155#22558C2218yescomplemented
156#22554C2214yescomplemented
157#22552C2214yescomplemented
158#22056C2218yescomplemented
159#22046C2214yescomplemented
160#22040C2214yescomplemented
161#21931C2212yescomplemented
162#21910C2212yescomplemented
163#21908C2212yescomplemented
164#21813C2214yescomplemented
165#21810C2212yescomplemented
166#21806C2212yescomplemented
167#21763C2214yescomplemented
168#20717C2212yescomplemented
169#20716C2212yescomplemented
170C2×#1786C2214yescomplemented
171C2×#1786C2214yescomplemented
172C2×#1786C2214yescomplemented
173C2×#1779C2212yes—
174#20528C2212yescomplemented
175C27—21no—
176C23×#41C2311yescharacteristic
177C24×D4—22no—
178C24×D4—21no—
179C24×D4—22no—
180C24×D4—21no—
181C24×D4—21no—
182C24×D4—48no—
183C24×D4—48no—
184C24×D4—48no—
185C24×D4C2311yescharacteristic
186C24×D4C2311yescharacteristic
187C24×D4C2312yes—
188C24×D4C2314yes—
189C24×D4C2314yes—
190C24×D4C2312yes—
191C25×C4C2311yescharacteristic
192C23×D8C2318yes—
193C2×#546—24no—
194C2×#540C2312yescomplemented
195C2×#535—21no—
196C2×#535—22no—
197C2×#535—21no—
198C2×#535—22no—
199C2×#535—22no—
200C2×#535—48no—
201C2×#535—48no—
202C2×#535C2314yes—
203C2×#535C2312yes—
204C2×#535C2314yes—
205C2×#535C2312yes—
206C2×#535C2312yes—
207C2×#535C2312yes—
208C2×#532C2312yescomplemented
209C22×#127C2312yes—
210C22×#127C2312yes—
211C22×#124C2312yes—
212C22×#124C2312yes—
213C2×#525—21no—
214C2×#525—22no—
215C2×#525—21no—
216C2×#525—48no—
217C2×#525C2312yes—
218C2×#525C2314yes—
219C2×#525C2312yes—
220C22×#123—21no—
221C22×C22⋊Q8C2312yes—
222C22×#121—21no—
223C22×#121—21no—
224C22×#121—22no—
225C22×#121C2312yes—
226C22×#121C2312yes—
227C22×#121C2312yes—
228C22×#121C2312yes—
229C22×#120—21no—
230C22×#120—22no—
231C22×#120—22no—
232C22×#120—22no—
233C22×#120—24no—
234C22×#120—24no—
235C22×C4×D4—22no—
236C22×#117C2311yescharacteristic
237C22×#117C2311yescharacteristic
238C22×#117C2311yescharacteristic
239#3220—416no—
240#3213—48no—
241#3205—48no—
242#3188—416no—
243C2×#496C2314yescomplemented
244C2×#496C2314yescomplemented
245C2×#493C2314yescomplemented
246C2×#493C2314yescomplemented
247C2×#490C2314yescomplemented
248C2×#489C2314yescomplemented
249C2×#488C2314yescomplemented
250C2×#486C2314yescomplemented
251C2×#484C2314yescomplemented
252C2×#481C2314yescomplemented
253C2×#482C2318yescomplemented
254C2×#466C2318yescomplemented
255C2×#465C2318yescomplemented
256C2×#463C2318yescomplemented
257C2×#463C2318yescomplemented
258C2×#459C2318yescomplemented
259C2×#459C2318yescomplemented
260C2×#449C2318yescomplemented
261C2×#449C2318yescomplemented
262C2×#448C2314yescomplemented
263C2×#450C2314yescomplemented
264C2×#447—416no—
265C2×#447—416no—
266C2×#447—416no—
267C2×#447C2314yes—
268C2×#447C2314yes—
269C2×#447C2318yes—
270C2×#447C2318yes—
271C2×#447C2318yes—
272C2×#447C2318yes—
273C2×#447C2318yes—
274C2×#447C2318yes—
275C2×#447C2318yes—
276C2×#447C2314yes—
277C2×#447C2314yes—
278C2×#447C2318yes—
279C2×#447C2318yes—
280C2×#447C2318yes—
281C2×#447C2314yescomplemented
282C2×#447C2314yescomplemented
283C2×#433C2314yescomplemented
284C2×#432C2312yescomplemented
285C2×#431C2312yescomplemented
286C22×#102C2318yes—
287C22×#102C2318yes—
288C22×#102C2318yes—
289C22×C22⋊C8C2314yes—
290C22×C22⋊C8C2314yes—
291C22×C22⋊C8C2314yes—
292#2856C2312yescomplemented
293#2854C2314yescomplemented
294#2851C2312yescomplemented
295#2847—22no—
296#2847—22no—
297#2847—22no—
298#2847—22no—
299#2847C2314yes—
300#2847C2314yes—
301#2847C2314yes—
302#2847C2314yes—
303#2846—24no—
304#2846—24no—
305#2846—28no—
306#2846—28no—
307#2846—24no—
308#2846—24no—
309#2841—22no—
310#2815—22no—
311#2778—24no—
312#2760—22no—
313#2756—24no—
314#2752—22no—
315#2749—24no—
316#2746—24no—
317#2741—24no—
318#2737—24no—
319#2717—24no—
320#2708—24no—
321#2703—24no—
322#2699—24no—
323#2688—24no—
324#2686—24no—
325#2678—24no—
326#2671—24no—
327#2670—22no—
328#2668—22no—
329#2659—22no—
330#2646—22no—
331#2629C2312yescomplemented
332#2628C2312yescomplemented
333#2628C2312yescomplemented
334#2624C2314yescomplemented
335#2619C2312yescomplemented
336#2619C2312yescomplemented
337#2619C2312yescomplemented
338#2617—22no—
339#2617—22no—
340#2613—24no—
341#2613—24no—
342#2613—28no—
343#2613—28no—
344#2613—24no—
345#2613—24no—
346#2610—22no—
347#2610—22no—
348#2598—22no—
349#2598—22no—
350#2591—22no—
351#2578—24no—
352#2564—24no—
353#2555—24no—
354#2543—24no—
355#2539—22no—
356#2531—24no—
357#2510—24no—
358#2510—24no—
359#2510—24no—
360#2504C2314yescomplemented
361#2495C2314yescomplemented
362#2494C2314yescomplemented
363#2491C2314yescomplemented
364#2490C2314yescomplemented
365#2476—24no—
366#2472—24no—
367#2472—24no—
368#2471—24no—
369#2464—24no—
370#2443—24no—
371#2442C2314yescomplemented
372#2440C2314yescomplemented
373#2437—22no—
374#2435—24no—
375#2435—24no—
376#2435—24no—
377#2435—24no—
378#2435C2318yes—
379#2435C2318yes—
380#2435C2318yes—
381#2435C2318yes—
382#2433—24no—
383#2433—24no—
384#2433—24no—
385#2433—24no—
386#2433C2318yes—
387#2433C2318yes—
388#2433C2318yes—
389#2433C2318yes—
390#2433C2314yescomplemented
391#2430—24no—
392#2428C2314yescomplemented
393#2428C2314yescomplemented
394#2424—24no—
395#2422C2314yescomplemented
396#2420C2314yescomplemented
397#2419—24no—
398#2418—24no—
399#2418—24no—
400#2412—24no—
401#2412—24no—
402#2410—24no—
403#2410—24no—
404#2408—24no—
405#2408—24no—
406#2408—24no—
407#2408—24no—
408#2408—28no—
409#2408—28no—
410#2408—28no—
411#2408—24no—
412#2408—28no—
413#2408—24no—
414#2408—24no—
415#2408—24no—
416#2408—24no—
417#2406—22no—
418#2404—22no—
419#2403—22no—
420C2×#394—24no—
421C2×#394—24no—
422C2×#392—24no—
423C2×#392—24no—
424#2377—24no—
425#2361C2314yescomplemented
426#2361C2314yescomplemented
427#2358—24no—
428#2358—24no—
429#2353—24no—
430#2345C2314yescomplemented
431D4×C22⋊C4—24no—
432D4×C22⋊C4C2314yescomplemented
433#2325—22no—
434#2325—22no—
435#2324C2314yescomplemented
436#2324C2314yescomplemented
437#2324C2314yescomplemented
438#2315—22no—
439#2314C2312yescomplemented
440#2312—22no—
441#2309—21no—
442#2309—22no—
443#2309—21no—
444#2309—22no—
445#2309—22no—
446#2309C2314yes—
447#2309C2314yes—
448#2309C2312yes—
449#2309C2312yes—
450#2309C2312yes—
451#2309C2312yes—
452C4×#121C2314yescomplemented
453C2×#390—21no—
454C2×#390—21no—
455C2×#390—22no—
456C2×#390C2314yes—
457C2×#390C2314yes—
458C2×#386—22no—
459C2×#386—22no—
460C2×#386—22no—
461#2283C2312yescomplemented
462#2280D412yes—
463#2280D412yes—
464#2280D412yes—
465#2280D412yes—
466#2280C2314yes—
467#2280C2311yescharacteristic
468#2280C2311yescharacteristic
469#2280C2311yescharacteristic
470#2280C2311yescharacteristic
471C2×#381D412yes—
472C2×#380D412yes—
473C2×#380D412yes—
474C2×#380C2312yes—
475C2×#380C2312yes—
476C2×#380C2312yes—
477C2×#379—24no—
478C2×#379—24no—
479C2×#379—22no—
480C2×#379—22no—
481C2×#379D412yes—
482C2×C4×C22⋊C4C2314yes—
483#2092C2318yescomplemented
484#2092C2318yescomplemented
485#2073C2318yescomplemented
486#2071C2318yescomplemented
487#2067C2318yescomplemented
488#2067C2318yescomplemented
489#2065C2318yescomplemented
490#2065C2318yescomplemented
491#2054C2318yescomplemented
492#2054C2318yescomplemented
493#2054C2318yescomplemented
494#2054C2318yescomplemented
495#2042C2318yescomplemented
496#2042C2318yescomplemented
497#2042C2318yescomplemented
498#2042C2318yescomplemented
499#2041C2318yescomplemented
500#2041C2318yescomplemented
501#2041C2318yescomplemented
502#2041C2318yescomplemented
503#2036C2318yescomplemented
504#2035C2318yescomplemented
505#2034C2318yescomplemented
506#2033C2318yescomplemented
507#2025C2318yescomplemented
508#2023C2318yescomplemented
509#2012C2318yescomplemented
510#2012C2318yescomplemented
511#2012C2318yescomplemented
512#2012C2318yescomplemented
513#2011C2318yescomplemented
514#2011C2318yescomplemented
515#2011C2318yescomplemented
516#2011C2318yescomplemented
517#2011C2318yescomplemented
518#2011C2318yescomplemented
519#2000C2318yescomplemented
520#2000C2318yescomplemented
521#1999C2318yescomplemented
522#1999C2318yescomplemented
523#1983C2318yescomplemented
524#1983C2318yescomplemented
525#1982C2318yescomplemented
526#1982C2318yescomplemented
527#1972C2318yescomplemented
528#1972C2318yescomplemented
529#1970C2318yescomplemented
530#1970C2318yescomplemented
531#1961C2314yescomplemented
532#1961C2314yescomplemented
533#1961C2314yescomplemented
534#1959C2314yescomplemented
535#1958C2314yescomplemented
536#1958C2314yescomplemented
537#1958C2314yescomplemented
538#1957C2314yescomplemented
539#1936C2318yescomplemented
540#1936C2318yescomplemented
541#1934C2318yescomplemented
542#1934C2318yescomplemented
543#1926C2318yescomplemented
544#1926C2318yescomplemented
545#1925C2318yescomplemented
546#1925C2318yescomplemented
547#1924C2318yescomplemented
548#1924C2318yescomplemented
549#1923C2318yescomplemented
550#1923C2318yescomplemented
551#1893C2318yescomplemented
552#1892C2318yescomplemented
553#1879C2318yescomplemented
554#1879C2318yescomplemented
555#1879C2318yescomplemented
556#1879C2318yescomplemented
557#1875C2318yescomplemented
558#1874C2314yescomplemented
559#1874C2314yescomplemented
560#1874C2314yescomplemented
561#1874C2314yescomplemented
562#1872C2314yescomplemented
563#1872C2314yescomplemented
564#1854C2318yescomplemented
565#1853C2314yescomplemented
566#1852C2314yescomplemented
567#1850C2318yescomplemented
568#1850C2318yescomplemented
569#1825C2318yescomplemented
570#1818C2314yescomplemented
571#1817C2314yescomplemented
572#1798C2314yescomplemented
573#1798C2314yescomplemented
574#1798C2314yescomplemented
575#1797C2314yescomplemented
576#1788C2318yescomplemented
577#1788C2318yescomplemented
578#1787C2314yescomplemented
579#1786C2314yes—
580#1786C2314yes—
581#1786C2314yes—
582#1786C2314yes—
583#1786C2318yes—
584#1786C2318yes—
585#1786C2318yes—
586#1786C2318yes—
587#1786C2318yes—
588#1786C2318yes—
589#1786C2318yes—
590#1786C2318yes—
591#1786C2318yes—
592#1786C2318yes—
593#1786C2314yescomplemented
594#1779C2312yes—
595#1779C2312yes—
596#1779C2314yes—
597#1779C2314yes—
598#1779C2314yes—
599#1752C2318yescomplemented
600C8×C22⋊C4C2318yescomplemented
601#1750C2314yescomplemented
602#1750C2314yescomplemented
603#1750C2314yescomplemented
604#1749C2312yescomplemented
605C4×C22⋊C8C2312yescomplemented
606C26—21no—
607C26—21no—
608C26—24no—
609C26—24no—
610C26—22no—
611C26—22no—
612C26—48no—
613C26—48no—
614C26—48no—
615C26—88no—
616C26—88no—
617C26C2×D411yescharacteristic
618C22×#41—21no—
619C22×#41—21no—
620C22×#41—22no—
621C22×#41—44no—
622C22×#41—44no—
623C22×#41—44no—
624C22×#41C2412yes—
625C22×#41C2412yes—
626C23×Q8C2411yescharacteristic
627C23×D4—28no—
628C23×D4—28no—
629C23×D4—216no—
630C23×D4—216no—
631C23×D4—21no—
632C23×D4—22no—
633C23×D4—22no—
634C23×D4—22no—
635C23×D4—22no—
636C23×D4—21no—
637C23×D4—21no—
638C23×D4—21no—
639C23×D4—21no—
640C23×D4—21no—
641C23×D4—21no—
642C23×D4—24no—
643C23×D4—22no—
644C23×D4—22no—
645C23×D4—24no—
646C23×D4—24no—
647C23×D4—24no—
648C23×D4—24no—
649C23×D4—24no—
650C23×D4—24no—
651C23×D4—24no—
652C23×D4—22no—
653C23×D4—24no—
654C23×D4—22no—
655C23×D4—216no—
656C23×D4—44no—
657C23×D4—44no—
658C23×D4—44no—
659C23×D4—44no—
660C23×D4—416no—
661C23×D4—48no—
662C23×D4—48no—
663C23×D4—416no—
664C23×D4—48no—
665C23×D4—48no—
666C23×D4—416no—
667C23×D4—48no—
668C23×D4—48no—
669C23×D4—416no—
670C23×D4—48no—
671C23×D4—48no—
672C23×D4—416no—
673C23×D4—416no—
674C23×D4—48no—
675C23×D4—48no—
676C23×D4—416no—
677C23×D4—48no—
678C23×D4—48no—
679C23×D4—416no—
680C23×D4—48no—
681C23×D4—48no—
682C23×D4—416no—
683C23×D4—416no—
684C23×D4—48no—
685C23×D4—48no—
686C23×D4—4256no—
687C23×D4C2412yes—
688C23×D4C2412yes—
689C23×D4C2412yes—
690C23×D4C2418yes—
691C23×D4C2412yes—
692C23×D4C2418yes—
693C23×D4C2411yescharacteristic
694C23×D4C2412yes—
695C23×D4C2412yes—
696C23×D4C2412yes—
697C24×C4—28no—
698C24×C4—21no—
699C24×C4—44no—
700C24×C4—44no—
701C24×C4C2×D411yescharacteristic
702C24×C4C2×D411yescharacteristic
703C24×C4C2×D412yes—
704C24×C4C2×D412yes—
705C24×C4C2×D411yescharacteristic
706C24×C4C2411yescharacteristic
707C24×C4C2412yes—
708C24×C4C2412yes—
709C24×C4C2411yescharacteristic
710C24×C4C2411yescharacteristic
711C22×SD16C2418yescomplemented
712C22×D8—416no—
713C22×D8—416no—
714C22×D8—416no—
715C22×D8C2418yes—
716C22×D8C2418yes—
717C22×D8C2418yes—
718C22×D8C2418yes—
719C22×D8C2418yescomplemented
720C23×C8C2418yes—
721#546—816no—
722#540—48no—
723#535—216no—
724#535—48no—
725#535—48no—
726#535—48no—
727#535—48no—
728#535—48no—
729#535—48no—
730#535—48no—
731#535—48no—
732#535—416no—
733#535—48no—
734#535—416no—
735#535—416no—
736#532—44no—
737#532—44no—
738C2×C4⋊Q8C2412yescomplemented
739C2×#127—28no—
740C2×#127—22no—
741C2×#127—22no—
742C2×#127—24no—
743C2×#127—44no—
744C2×#127—48no—
745C2×#127C2414yes—
746C2×#127C2414yes—
747C2×#127C2414yes—
748C2×#127C2414yes—
749C2×#127C2412yescomplemented
750C2×#127C2412yescomplemented
751C2×#125C2412yescomplemented
752C2×#124—24no—
753C2×#124—28no—
754C2×#124—22no—
755C2×#124—22no—
756C2×#124—24no—
757C2×#124—22no—
758C2×#124—44no—
759C2×#124—48no—
760C2×#124C2414yes—
761C2×#124C2414yes—
762C2×#124C2414yes—
763C2×#124C2414yes—
764#525—216no—
765#525—48no—
766#525—48no—
767#525—48no—
768#525—48no—
769#525—48no—
770#525—416no—
771C2×#123—24no—
772C2×#123—22no—
773C2×#123—22no—
774C2×#123—24no—
775C2×#123—24no—
776C2×#123—24no—
777C2×#123—48no—
778C2×C22⋊Q8—22no—
779C2×C22⋊Q8—22no—
780C2×C22⋊Q8—24no—
781C2×C22⋊Q8—48no—
782C2×C22⋊Q8C2414yes—
783C2×C22⋊Q8C2414yes—
784C2×#121—22no—
785C2×#121—22no—
786C2×#121—22no—
787C2×#121—22no—
788C2×#121—22no—
789C2×#121—22no—
790C2×#121—22no—
791C2×#121—22no—
792C2×#121—22no—
793C2×#121—24no—
794C2×#121—28no—
795C2×#121—22no—
796C2×#121—24no—
797C2×#121—24no—
798C2×#121—22no—
799C2×#121—24no—
800C2×#121—22no—
801C2×#121—24no—
802C2×#121—22no—
803C2×#121—24no—
804C2×#121—24no—
805C2×#121—24no—
806C2×#121—216no—
807C2×#121—48no—
808C2×#121—48no—
809C2×#121—48no—
810C2×#121—416no—
811C2×#121—48no—
812C2×#121—48no—
813C2×#121C2414yes—
814C2×#121C2414yes—
815C2×#121C2414yes—
816C2×#121C2414yes—
817C2×#121C2414yes—
818C2×#121C2414yes—
819C2×#121C2414yes—
820C2×#121C2414yes—
821C2×#120—24no—
822C2×#120—22no—
823C2×#120—22no—
824C2×#120—24no—
825C2×#120—24no—
826C2×#120—24no—
827C2×#120—24no—
828C2×#120—28no—
829C2×#120—24no—
830C2×#120—24no—
831C2×#120—24no—
832C2×#120—24no—
833C2×#120—24no—
834C2×#120—24no—
835C2×#120—28no—
836C2×#120—28no—
837C2×#120—28no—
838C2×#120—28no—
839C2×#120—28no—
840C2×#120—28no—
841C2×#120—28no—
842C2×#120—28no—
843C2×#120—24no—
844C2×#120—24no—
845C2×#120—48no—
846C2×#120—416no—
847C2×#120—416no—
848C2×#120—816no—
849C2×#120—816no—
850C2×#120—88no—
851C2×C4×D4—24no—
852C2×C4×D4—24no—
853C2×C4×D4—24no—
854C2×C4×D4—24no—
855C2×C4×D4—24no—
856C2×C4×D4—24no—
857C2×C4×D4—24no—
858C2×C4×D4—22no—
859C2×C4×D4—416no—
860C2×C4×D4C2414yescomplemented
861C2×C4×D4C2414yescomplemented
862C2×#117—21no—
863C2×#117—21no—
864C2×#117—44no—
865C2×#117—44no—
866C2×#117—44no—
867C2×#117C2×D411yescharacteristic
868C2×#117C2×D412yes—
869C2×#117C2×D411yescharacteristic
870C2×#117C2×D412yes—
871C2×#117C2×D412yes—
872C2×#117C2412yes—
873C2×#117C2412yes—
874C2×#117C2412yes—
875C2×#117C2411yescharacteristic
876C2×#117C2411yescharacteristic
877C2×#117C2412yes—
878C2×#117C2411yescharacteristic
879C2×#117C2411yescharacteristic
880C22×C4⋊C4—22no—
881C22×C4⋊C4C2×D411yescharacteristic
882C22×C4⋊C4C2×D411yescharacteristic
883C22×C4⋊C4C2×D412yes—
884C22×C4⋊C4C2412yes—
885C22×C4⋊C4C2412yes—
886C22×C4⋊C4C2412yes—
887C22×C4⋊C4C2412yes—
888C22×C22⋊C4—21no—
889C22×C22⋊C4—22no—
890C22×C22⋊C4—22no—
891C22×C22⋊C4—22no—
892C22×C22⋊C4—22no—
893C22×C22⋊C4—22no—
894C22×C22⋊C4—24no—
895C22×C22⋊C4—22no—
896C22×C22⋊C4—22no—
897C22×C22⋊C4—22no—
898C22×C22⋊C4—22no—
899C22×C22⋊C4—24no—
900C22×C22⋊C4—24no—
901C22×C22⋊C4—24no—
902C22×C22⋊C4—24no—
903C22×C22⋊C4—22no—
904C22×C22⋊C4—24no—
905C22×C22⋊C4C2×D414yes—
906C22×C22⋊C4C2×D414yes—
907C22×C22⋊C4C2×D412yes—
908C22×C22⋊C4C2×D412yes—
909C22×C42—21no—
910C22×C42C2412yes—
911C22×C42C2412yes—
912#496—48no—
913#496—48no—
914#493—48no—
915#493—48no—
916#490—48no—
917#489—48no—
918#488—48no—
919#486—48no—
920#484—48no—
921#482—416no—
922#481—48no—
923#466—416no—
924#465—416no—
925#463—416no—
926#463—416no—
927#459—416no—
928#459—416no—
929#450—48no—
930#449—416no—
931#449—416no—
932#448—48no—
933#447—216no—
934#447—216no—
935#447—232no—
936#447—48no—
937#447—48no—
938#447—416no—
939#447—416no—
940#447—416no—
941#447—416no—
942#447—48no—
943#447—48no—
944#447—416no—
945#447—416no—
946#447—416no—
947#447—416no—
948#447—416no—
949#433—48no—
950#432—44no—
951#431—44no—
952C2×#107C2418yescomplemented
953C2×#106C2418yescomplemented
954C2×C4⋊C8C2418yescomplemented
955C2×C4⋊C8C2414yescomplemented
956C2×C4⋊C8C2414yescomplemented
957C2×#103C2418yescomplemented
958C2×#103C2418yescomplemented
959C2×#103C2418yescomplemented
960C2×#102—416no—
961C2×#102—416no—
962C2×#102—416no—
963C2×#102C2418yes—
964C2×#102C2418yes—
965C2×#102C2418yes—
966C2×#102C2418yes—
967C2×#102C2418yes—
968C2×#102C2418yes—
969C2×#102C2418yes—
970C2×#102C2418yes—
971C2×#102C2418yes—
972C2×#102C2418yes—
973C2×#102C2418yes—
974C2×#102C2418yes—
975C2×#102C2418yescomplemented
976C2×#102C2418yescomplemented
977C2×#102C2418yescomplemented
978C2×#102C2418yescomplemented
979C2×#102C2418yescomplemented
980C2×C22⋊C8—216no—
981C2×C22⋊C8—48no—
982C2×C22⋊C8—48no—
983C2×C22⋊C8C2414yes—
984C2×C22⋊C8C2414yes—
985C2×C22⋊C8C2418yes—
986C2×C22⋊C8C2418yes—
987C2×C22⋊C8C2414yes—
988C2×C22⋊C8C2414yes—
989C2×C22⋊C8C2414yes—
990C2×C22⋊C8C2418yes—
991C2×C22⋊C8C2414yes—
992C2×#97C2414yescomplemented
993C2×#97C2414yescomplemented
994C2×C4×C8C2414yescomplemented
995C2×C4×C8C2414yescomplemented
996#401—24no—
997#400—22no—
998#400—22no—
999#400—24no—
1000#400—24no—
1001#399—24no—
1002#399—22no—
1003#399—22no—
1004#398—24no—
1005#398—24no—
1006#398—24no—
1007#397—24no—
1008#397—24no—
1009#397—24no—
1010#397—24no—
1011#397—24no—
1012#397—24no—
1013#397—24no—
1014#397—24no—
1015#396—24no—
1016#395—22no—
1017#395—22no—
1018#395—24no—
1019#394—22no—
1020#394—22no—
1021#394—22no—
1022#394—22no—
1023#394—24no—
1024#394—24no—
1025#394—24no—
1026#394—24no—
1027#394—24no—
1028#394—24no—
1029#394—24no—
1030#394—28no—
1031#394—28no—
1032#394—28no—
1033#394—28no—
1034#394—28no—
1035#394—28no—
1036#394—28no—
1037#394—28no—
1038#394—24no—
1039#394—24no—
1040#393—22no—
1041#393—22no—
1042#393—24no—
1043#392—22no—
1044#392—22no—
1045#392—22no—
1046#392—22no—
1047#392—24no—
1048#392—24no—
1049#392—24no—
1050#392—28no—
1051#392—28no—
1052#392—28no—
1053#392—28no—
1054#392—28no—
1055#392—28no—
1056#392—28no—
1057#392—28no—
1058#392—24no—
1059#392—24no—
1060#390—28no—
1061#390—22no—
1062#390—24no—
1063#390—24no—
1064#390—22no—
1065#390—24no—
1066#390—22no—
1067#390—24no—
1068#390—22no—
1069#390—24no—
1070#390—24no—
1071#390—24no—
1072#390—24no—
1073#390—24no—
1074#390—24no—
1075#390—24no—
1076#390—24no—
1077#390—24no—
1078#390C2418yes—
1079#390C2418yes—
1080#390C2418yes—
1081#390C2418yes—
1082#390C2414yescomplemented
1083#390C2414yescomplemented
1084#390C2414yescomplemented
1085#390C2414yescomplemented
1086#389C2414yescomplemented
1087#389C2414yescomplemented
1088#389C2414yescomplemented
1089#389C2414yescomplemented
1090#388—24no—
1091#388—24no—
1092#388—24no—
1093#388—24no—
1094#388—24no—
1095#388—24no—
1096#388—24no—
1097#388—24no—
1098#388—24no—
1099#388—24no—
1100#388—24no—
1101#388—24no—
1102#388—24no—
1103#387—24no—
1104#387—24no—
1105#387—24no—
1106#387—24no—
1107#387—24no—
1108#386—24no—
1109#386—24no—
1110#386—24no—
1111#386—24no—
1112#386—24no—
1113#386—24no—
1114#386—24no—
1115#386—24no—
1116#386—24no—
1117#386—24no—
1118#386—24no—
1119#386—24no—
1120#386—24no—
1121#386—24no—
1122#386—24no—
1123#386—24no—
1124#386—24no—
1125#386—24no—
1126#386—24no—
1127#386—24no—
1128#386—24no—
1129#386—24no—
1130#386—24no—
1131#386—24no—
1132#386—24no—
1133#386—24no—
1134#385—24no—
1135#385—24no—
1136#385—24no—
1137#385—24no—
1138#385—24no—
1139#385—24no—
1140#385—24no—
1141#385—24no—
1142#385—24no—
1143#384C2412yescomplemented
1144#383—22no—
1145#383—24no—
1146#382C2412yescomplemented
1147#382C2412yescomplemented
1148#382C2412yescomplemented
1149#381—22no—
1150#381—24no—
1151#381C2×D412yes—
1152#381C2×D412yes—
1153#381C2×D414yes—
1154#381C2×D414yes—
1155#381C2×D412yes—
1156#381C2×D412yes—
1157#380—22no—
1158#380—22no—
1159#380—22no—
1160#380—22no—
1161#380—22no—
1162#380—22no—
1163#380—24no—
1164#380—24no—
1165#380C2×D414yes—
1166#380C2×D412yes—
1167#380C2×D412yes—
1168#380C2×D412yes—
1169#380C2×D412yes—
1170#380C2×D414yes—
1171#380C2×D414yes—
1172#380C2×D412yes—
1173#380C2×D414yes—
1174#380C2×D412yes—
1175#380C2×D412yes—
1176#380C2×D412yes—
1177#380C2414yes—
1178#380C2414yes—
1179#380C2414yes—
1180#380C2414yes—
1181#380C2414yes—
1182#380C2414yes—
1183#379—28no—
1184#379—24no—
1185#379—24no—
1186#379—24no—
1187#379—24no—
1188#379—24no—
1189#379—24no—
1190#379—24no—
1191#379—28no—
1192#379—28no—
1193#379—28no—
1194#379—28no—
1195#379—28no—
1196#379—28no—
1197#379—28no—
1198#379—28no—
1199#379C2×D412yes—
1200#379C2×D412yes—
1201#379C2×D414yes—
1202#379C2×D414yes—
1203#379C2×D412yes—
1204#379C2×D412yes—
1205C4×C4⋊C4C2414yescomplemented
1206C4×C4⋊C4C2414yescomplemented
1207C4×C22⋊C4—22no—
1208C4×C22⋊C4—24no—
1209C4×C22⋊C4—24no—
1210C4×C22⋊C4C2×D414yes—
1211C4×C22⋊C4C2×D414yes—
1212C4×C22⋊C4C2×D414yes—
1213C4×C22⋊C4C2×D414yes—
1214C4×C22⋊C4C2414yes—
1215C4×C22⋊C4C2414yes—
1216C4×C22⋊C4C2414yes—
1217C4×C22⋊C4C2414yes—
1218#376—22no—
1219C2×#95—22no—
1220C2×#95—22no—
1221C2×#95—22no—
1222C2×#95C2×D414yes—
1223C2×#95C2×D414yes—
1224#340C2418yescomplemented
1225#340C2418yescomplemented
1226#340C2418yescomplemented
1227#340C2418yescomplemented
1228#336C2418yescomplemented
1229#336C2418yescomplemented
1230#336C2418yescomplemented
1231#336C2414yescomplemented
1232#336C2414yescomplemented
1233C25—28no—
1234C25—28no—
1235C25—24no—
1236C25—28no—
1237C25—22no—
1238C25—22no—
1239C25—22no—
1240C25—22no—
1241C25—22no—
1242C25—22no—
1243C25—21no—
1244C25—28no—
1245C25—28no—
1246C25—22no—
1247C25—42no—
1248C25—42no—
1249C25—44no—
1250C25—416no—
1251C25—416no—
1252C25—44no—
1253C25—44no—
1254C25—416no—
1255C25—44no—
1256C25—44no—
1257C25—416no—
1258C25—48no—
1259C25—48no—
1260C25—416no—
1261C25—48no—
1262C25—48no—
1263C25—416no—
1264C25—48no—
1265C25—416no—
1266C25—4128no—
1267C25—48no—
1268C25—416no—
1269C25—88no—
1270C25—88no—
1271C25—88no—
1272C25—88no—
1273C25—88no—
1274C25—84no—
1275C25—84no—
1276C25—88no—
1277C25—88no—
1278C25—84no—
1279C25—84no—
1280C25—88no—
1281C25—88no—
1282C25—88no—
1283C25—864no—
1284C25—8128no—
1285C25—8128no—
1286C25—864no—
1287C25C22×D411yescharacteristic
1288C25C22×D412yes—
1289C25C22×D411yescharacteristic
1290C25C22×D412yes—
1291C25C22×D411yescharacteristic
1292C2×#41—28no—
1293C2×#41—28no—
1294C2×#41—44no—
1295C2×#41—44no—
1296C2×#41—44no—
1297C2×#41—44no—
1298C2×#41—44no—
1299C2×#41—44no—
1300C2×#41—44no—
1301C2×#41—44no—
1302C2×#41—44no—
1303C2×#41—44no—
1304C2×#41—84no—
1305C2×#41—88no—
1306C2×#41—832no—
1307C22×Q8—21no—
1308C22×Q8—22no—
1309C22×Q8—24no—
1310C22×Q8—42no—
1311C22×Q8—42no—
1312C22×Q8C2512yes—
1313C22×D4—216no—
1314C22×D4—216no—
1315C22×D4—28no—
1316C22×D4—28no—
1317C22×D4—28no—
1318C22×D4—28no—
1319C22×D4—28no—
1320C22×D4—28no—
1321C22×D4—28no—
1322C22×D4—28no—
1323C22×D4—28no—
1324C22×D4—28no—
1325C22×D4—216no—
1326C22×D4—216no—
1327C22×D4—24no—
1328C22×D4—24no—
1329C22×D4—24no—
1330C22×D4—24no—
1331C22×D4—22no—
1332C22×D4—22no—
1333C22×D4—24no—
1334C22×D4—24no—
1335C22×D4—24no—
1336C22×D4—24no—
1337C22×D4—22no—
1338C22×D4—22no—
1339C22×D4—22no—
1340C22×D4—22no—
1341C22×D4—22no—
1342C22×D4—22no—
1343C22×D4—21no—
1344C22×D4—28no—
1345C22×D4—28no—
1346C22×D4—24no—
1347C22×D4—24no—
1348C22×D4—28no—
1349C22×D4—28no—
1350C22×D4—24no—
1351C22×D4—24no—
1352C22×D4—22no—
1353C22×D4—22no—
1354C22×D4—24no—
1355C22×D4—22no—
1356C22×D4—216no—
1357C22×D4—24no—
1358C22×D4—24no—
1359C22×D4—28no—
1360C22×D4—28no—
1361C22×D4—216no—
1362C22×D4—28no—
1363C22×D4—28no—
1364C22×D4—28no—
1365C22×D4—24no—
1366C22×D4—44no—
1367C22×D4—44no—
1368C22×D4—44no—
1369C22×D4—48no—
1370C22×D4—48no—
1371C22×D4—44no—
1372C22×D4—44no—
1373C22×D4—44no—
1374C22×D4—44no—
1375C22×D4—44no—
1376C22×D4—48no—
1377C22×D4—48no—
1378C22×D4—48no—
1379C22×D4—48no—
1380C22×D4—42no—
1381C22×D4—42no—
1382C22×D4—44no—
1383C22×D4—44no—
1384C22×D4—416no—
1385C22×D4—416no—
1386C22×D4—416no—
1387C22×D4—416no—
1388C22×D4—416no—
1389C22×D4—416no—
1390C22×D4—464no—
1391C22×D4—464no—
1392C22×D4—44no—
1393C22×D4—44no—
1394C22×D4—44no—
1395C22×D4—44no—
1396C22×D4—44no—
1397C22×D4—44no—
1398C22×D4—44no—
1399C22×D4—44no—
1400C22×D4—44no—
1401C22×D4—44no—
1402C22×D4—44no—
1403C22×D4—44no—
1404C22×D4—416no—
1405C22×D4—416no—
1406C22×D4—48no—
1407C22×D4—416no—
1408C22×D4—416no—
1409C22×D4—416no—
1410C22×D4—416no—
1411C22×D4—416no—
1412C22×D4—48no—
1413C22×D4—48no—
1414C22×D4—4128no—
1415C22×D4—416no—
1416C22×D4—416no—
1417C22×D4—416no—
1418C22×D4—416no—
1419C22×D4—416no—
1420C22×D4—416no—
1421C22×D4—416no—
1422C22×D4—416no—
1423C22×D4—4128no—
1424C22×D4—4128no—
1425C22×D4—416no—
1426C22×D4—48no—
1427C22×D4—48no—
1428C22×D4—416no—
1429C22×D4—48no—
1430C22×D4—48no—
1431C22×D4—4128no—
1432C22×D4—4128no—
1433C22×D4—4128no—
1434C22×D4—4256no—
1435C22×D4—4128no—
1436C22×D4—4256no—
1437C22×D4—4128no—
1438C22×D4—4128no—
1439C22×D4—48no—
1440C22×D4—44no—
1441C22×D4—44no—
1442C22×D4—44no—
1443C22×D4—48no—
1444C22×D4—48no—
1445C22×D4—416no—
1446C22×D4—48no—
1447C22×D4—48no—
1448C22×D4—416no—
1449C22×D4—48no—
1450C22×D4—88no—
1451C22×D4—88no—
1452C22×D4—84no—
1453C22×D4—88no—
1454C22×D4—88no—
1455C22×D4—84no—
1456C22×D4—84no—
1457C22×D4—84no—
1458C22×D4—84no—
1459C22×D4—84no—
1460C22×D4—84no—
1461C22×D4H(5,𝔽2)18yes—
1462C22×D4H(5,𝔽2)18yes—
1463C22×D4C2514yes—
1464C22×D4C2512yes—
1465C22×D4C2514yes—
1466C22×D4C2514yes—
1467C23×C4—24no—
1468C23×C4—24no—
1469C23×C4—24no—
1470C23×C4—24no—
1471C23×C4—28no—
1472C23×C4—24no—
1473C23×C4—24no—
1474C23×C4—28no—
1475C23×C4—28no—
1476C23×C4—28no—
1477C23×C4—28no—
1478C23×C4—28no—
1479C23×C4—24no—
1480C23×C4—22no—
1481C23×C4—21no—
1482C23×C4—22no—
1483C23×C4—22no—
1484C23×C4—22no—
1485C23×C4—22no—
1486C23×C4—22no—
1487C23×C4—24no—
1488C23×C4—24no—
1489C23×C4—44no—
1490C23×C4—42no—
1491C23×C4—42no—
1492C23×C4—44no—
1493C23×C4—42no—
1494C23×C4—42no—
1495C23×C4—44no—
1496C23×C4—42no—
1497C23×C4—42no—
1498C23×C4—44no—
1499C23×C4—42no—
1500C23×C4—42no—
1501C23×C4—44no—
1502C23×C4—44no—
1503C23×C4—42no—
1504C23×C4—42no—
1505C23×C4—464no—
1506C23×C4—44no—
1507C23×C4—44no—
1508C23×C4—44no—
1509C23×C4C22×D412yes—
1510C23×C4C22×D411yescharacteristic
1511C23×C4C22×D411yescharacteristic
1512C23×C4C22×D411yescharacteristic
1513C23×C4C22×D412yes—
1514C23×C4C22×D412yes—
1515C23×C4C22×D412yes—
1516C23×C4C22×D412yes—
1517C23×C4C22×D412yes—
1518C23×C4C22×D412yes—
1519C23×C4C22×D414yes—
1520C23×C4C22×D412yes—
1521C23×C4C22×D412yes—
1522C23×C4C22×D411yescharacteristic
1523C23×C4C22×D412yes—
1524C23×C4C22×D411yescharacteristic
1525C23×C4H(5,𝔽2)18yes—
1526C23×C4C2512yes—
1527C23×C4C2512yes—
1528C23×C4C2511yescharacteristic
1529C23×C4C2511yescharacteristic
1530C23×C4C2511yescharacteristic
1531C2×SD16—48no—
1532C2×SD16—48no—
1533C2×SD16—48no—
1534C2×D8—216no—
1535C2×D8—216no—
1536C2×D8—216no—
1537C2×D8—216no—
1538C2×D8—48no—
1539C2×D8—48no—
1540C2×D8—48no—
1541C2×D8—48no—
1542C2×D8—48no—
1543C2×D8—48no—
1544C2×D8—48no—
1545C2×D8—48no—
1546C2×D8—48no—
1547C2×D8—48no—
1548C2×D8—48no—
1549C2×D8—864no—
1550C22×C8—216no—
1551C22×C8—48no—
1552C22×C8—48no—
1553C22×C8C2518yes—
1554C22×C8C2518yes—
1555C4⋊Q8—42no—
1556C4⋊Q8—42no—
1557#127—28no—
1558#127—28no—
1559#127—28no—
1560#127—28no—
1561#127—44no—
1562#127—44no—
1563#127—44no—
1564#127—44no—
1565#127—42no—
1566#127—42no—
1567#127—44no—
1568#127—48no—
1569#127—48no—
1570#127—416no—
1571#125—44no—
1572#124—28no—
1573#124—28no—
1574#124—28no—
1575#124—28no—
1576#124—44no—
1577#124—44no—
1578#124—44no—
1579#124—44no—
1580#124—48no—
1581#124—48no—
1582#124—416no—
1583#124—84no—
1584#124—88no—
1585#123—48no—
1586#123—416no—
1587#123—48no—
1588#123—88no—
1589#123—88no—
1590#123—88no—
1591C22⋊Q8—28no—
1592C22⋊Q8—28no—
1593C22⋊Q8—44no—
1594C22⋊Q8—44no—
1595C22⋊Q8—48no—
1596C22⋊Q8—48no—
1597C22⋊Q8—88no—
1598#121—216no—
1599#121—216no—
1600#121—28no—
1601#121—28no—
1602#121—28no—
1603#121—28no—
1604#121—216no—
1605#121—44no—
1606#121—44no—
1607#121—432no—
1608#121—48no—
1609#121—48no—
1610#121—48no—
1611#121—416no—
1612#121—48no—
1613#121—48no—
1614#121—416no—
1615#121—48no—
1616#121—416no—
1617#121—416no—
1618#121—48no—
1619#121—48no—
1620#121—44no—
1621#121—48no—
1622#121—44no—
1623#121—88no—
1624#121—88no—
1625#121—88no—
1626#121—84no—
1627#121—84no—
1628#121—84no—
1629#121—84no—
1630#121—84no—
1631#121—88no—
1632#120—432no—
1633#120—416no—
1634#120—48no—
1635#120—416no—
1636#120—416no—
1637#120—416no—
1638#120—416no—
1639#120—416no—
1640#120—416no—
1641#120—48no—
1642#120—416no—
1643#120—88no—
1644#120—816no—
1645#120—816no—
1646#120—816no—
1647#120—816no—
1648#120—816no—
1649#120—816no—
1650#120—88no—
1651#120—88no—
1652#120—88no—
1653#120—88no—
1654#120—816no—
1655#120—816no—
1656C4×D4—44no—
1657C4×D4—44no—
1658C4×D4—48no—
1659C4×D4—416no—
1660C4×D4—416no—
1661C4×D4—416no—
1662C4×D4—416no—
1663C4×D4—84no—
1664C4×D4—88no—
1665C4×D4—88no—
1666C4×D4—88no—
1667#117—28no—
1668#117—28no—
1669#117—42no—
1670#117—44no—
1671#117—42no—
1672#117—42no—
1673#117—42no—
1674#117—42no—
1675#117—42no—
1676#117—42no—
1677#117—42no—
1678#117—44no—
1679#117—44no—
1680#117—42no—
1681#117—42no—
1682#117—44no—
1683#117—44no—
1684C2×C4⋊C4—28no—
1685C2×C4⋊C4—24no—
1686C2×C4⋊C4—24no—
1687C2×C4⋊C4—22no—
1688C2×C4⋊C4—22no—
1689C2×C4⋊C4—22no—
1690C2×C4⋊C4—22no—
1691C2×C4⋊C4—24no—
1692C2×C4⋊C4—22no—
1693C2×C4⋊C4—24no—
1694C2×C4⋊C4—24no—
1695C2×C4⋊C4—24no—
1696C2×C4⋊C4—24no—
1697C2×C4⋊C4—24no—
1698C2×C4⋊C4—44no—
1699C2×C4⋊C4—44no—
1700C2×C4⋊C4—44no—
1701C2×C4⋊C4—44no—
1702C2×C4⋊C4—42no—
1703C2×C4⋊C4—42no—
1704C2×C4⋊C4—48no—
1705C2×C4⋊C4C22×D414yes—
1706C2×C4⋊C4C22×D411yescharacteristic
1707C2×C4⋊C4C22×D412yes—
1708C2×C4⋊C4C22×D412yes—
1709C2×C4⋊C4C22×D411yescharacteristic
1710C2×C4⋊C4C22×D412yes—
1711C2×C4⋊C4C22×D411yescharacteristic
1712C2×C4⋊C4C22×D412yes—
1713C2×C4⋊C4C22×D411yescharacteristic
1714C2×C4⋊C4C2514yes—
1715C2×C4⋊C4C2514yes—
1716C2×C4⋊C4C2514yes—
1717C2×C4⋊C4C2514yes—
1718C2×C22⋊C4—216no—
1719C2×C22⋊C4—24no—
1720C2×C22⋊C4—22no—
1721C2×C22⋊C4—22no—
1722C2×C22⋊C4—24no—
1723C2×C22⋊C4—24no—
1724C2×C22⋊C4—24no—
1725C2×C22⋊C4—24no—
1726C2×C22⋊C4—24no—
1727C2×C22⋊C4—24no—
1728C2×C22⋊C4—24no—
1729C2×C22⋊C4—24no—
1730C2×C22⋊C4—24no—
1731C2×C22⋊C4—28no—
1732C2×C22⋊C4—28no—
1733C2×C22⋊C4—24no—
1734C2×C22⋊C4—24no—
1735C2×C22⋊C4—24no—
1736C2×C22⋊C4—24no—
1737C2×C22⋊C4—24no—
1738C2×C22⋊C4—24no—
1739C2×C22⋊C4—24no—
1740C2×C22⋊C4—24no—
1741C2×C22⋊C4—28no—
1742C2×C22⋊C4—28no—
1743C2×C22⋊C4—28no—
1744C2×C22⋊C4—28no—
1745C2×C22⋊C4—28no—
1746C2×C22⋊C4—28no—
1747C2×C22⋊C4—28no—
1748C2×C22⋊C4—28no—
1749C2×C22⋊C4—24no—
1750C2×C22⋊C4—24no—
1751C2×C22⋊C4—24no—
1752C2×C22⋊C4—24no—
1753C2×C22⋊C4—24no—
1754C2×C22⋊C4—24no—
1755C2×C22⋊C4—24no—
1756C2×C22⋊C4—24no—
1757C2×C22⋊C4—24no—
1758C2×C22⋊C4—24no—
1759C2×C22⋊C4—24no—
1760C2×C22⋊C4—24no—
1761C2×C22⋊C4—44no—
1762C2×C22⋊C4—48no—
1763C2×C22⋊C4—44no—
1764C2×C22⋊C4—48no—
1765C2×C22⋊C4—48no—
1766C2×C22⋊C4—48no—
1767C2×C22⋊C4—44no—
1768C2×C22⋊C4—48no—
1769C2×C22⋊C4—416no—
1770C2×C22⋊C4—48no—
1771C2×C22⋊C4—88no—
1772C2×C22⋊C4—84no—
1773C2×C22⋊C4—84no—
1774C2×C22⋊C4—84no—
1775C2×C22⋊C4—84no—
1776C2×C22⋊C4—84no—
1777C2×C22⋊C4—88no—
1778C2×C22⋊C4—88no—
1779C2×C22⋊C4—88no—
1780C2×C22⋊C4—88no—
1781C2×C22⋊C4C22×D414yes—
1782C2×C22⋊C4C22×D414yes—
1783C2×C22⋊C4C22×D414yes—
1784C2×C22⋊C4C22×D414yes—
1785C2×C22⋊C4C22×D414yes—
1786C2×C22⋊C4C22×D414yes—
1787C2×C22⋊C4C22×D414yes—
1788C2×C22⋊C4C22×D412yes—
1789C2×C22⋊C4C22×D412yes—
1790C2×C22⋊C4C22×D412yes—
1791C2×C22⋊C4C22×D412yes—
1792C2×C22⋊C4C22×D412yes—
1793C2×C22⋊C4C22×D412yes—
1794C2×C22⋊C4C22×D414yes—
1795C2×C22⋊C4C22×D414yes—
1796C2×C42—24no—
1797C2×C42—24no—
1798C2×C42—22no—
1799C2×C42—22no—
1800C2×C42—24no—
1801C2×C42—24no—
1802C2×C42—44no—
1803C2×C42—44no—
1804C2×C42C22×D412yes—
1805C2×C42C22×D412yes—
1806C2×C42C22×D414yes—
1807C2×C42C2512yes—
1808C2×C42C2512yes—
1809C2×C42C2512yes—
1810C2×C42C2512yes—
1811#107—48no—
1812#106—48no—
1813C4⋊C8—44no—
1814C4⋊C8—44no—
1815C4⋊C8—48no—
1816#103—48no—
1817#103—48no—
1818#103—48no—
1819#102—216no—
1820#102—216no—
1821#102—216no—
1822#102—216no—
1823#102—48no—
1824#102—48no—
1825#102—48no—
1826#102—48no—
1827#102—48no—
1828#102—48no—
1829#102—48no—
1830#102—48no—
1831#102—48no—
1832#102—48no—
1833#102—48no—
1834#102—48no—
1835#102—48no—
1836C22⋊C8—28no—
1837C22⋊C8—216no—
1838C22⋊C8—28no—
1839C22⋊C8—28no—
1840C22⋊C8—28no—
1841C22⋊C8—216no—
1842C22⋊C8—48no—
1843C22⋊C8—44no—
1844C22⋊C8—44no—
1845#97—44no—
1846#97—44no—
1847C4×C8—44no—
1848C4×C8—44no—
1849#95—24no—
1850#95—24no—
1851#95—24no—
1852#95—24no—
1853#95—24no—
1854#95—24no—
1855#95—22no—
1856#95—22no—
1857#95—24no—
1858#95—24no—
1859#95—22no—
1860#95—22no—
1861#95—24no—
1862#95—24no—
1863#95—24no—
1864#95—24no—
1865#95—24no—
1866#95C22×D414yes—
1867#95C22×D414yes—
1868#95C22×D414yes—
1869#95C22×D414yes—
1870#95C22×D414yes—
1871#95C22×D414yes—
1872#95C22×D414yes—
1873#95C22×D414yes—
1874C24—24no—
1875C24—24no—
1876C24—24no—
1877C24—22no—
1878C24—24no—
1879C24—22no—
1880C24—22no—
1881C24—24no—
1882C24—24no—
1883C24—24no—
1884C24—24no—
1885C24—24no—
1886C24—28no—
1887C24—28no—
1888C24—28no—
1889C24—28no—
1890C24—24no—
1891C24—24no—
1892C24—24no—
1893C24—22no—
1894C24—28no—
1895C24—24no—
1896C24—24no—
1897C24—24no—
1898C24—28no—
1899C24—24no—
1900C24—22no—
1901C24—42no—
1902C24—41no—
1903C24—41no—
1904C24—42no—
1905C24—41no—
1906C24—41no—
1907C24—42no—
1908C24—42no—
1909C24—42no—
1910C24—42no—
1911C24—432no—
1912C24—416no—
1913C24—416no—
1914C24—416no—
1915C24—416no—
1916C24—416no—
1917C24—416no—
1918C24—432no—
1919C24—48no—
1920C24—48no—
1921C24—44no—
1922C24—44no—
1923C24—44no—
1924C24—432no—
1925C24—432no—
1926C24—44no—
1927C24—44no—
1928C24—44no—
1929C24—44no—
1930C24—44no—
1931C24—416no—
1932C24—42no—
1933C24—416no—
1934C24—42no—
1935C24—44no—
1936C24—416no—
1937C24—464no—
1938C24—4128no—
1939C24—4128no—
1940C24—464no—
1941C24—416no—
1942C24—44no—
1943C24—44no—
1944C24—44no—
1945C24—44no—
1946C24—48no—
1947C24—48no—
1948C24—416no—
1949C24—42no—
1950C24—416no—
1951C24—416no—
1952C24—44no—
1953C24—44no—
1954C24—44no—
1955C24—44no—
1956C24—88no—
1957C24—88no—
1958C24—84no—
1959C24—88no—
1960C24—84no—
1961C24—84no—
1962C24—84no—
1963C24—84no—
1964C24—88no—
1965C24—84no—
1966C24—84no—
1967C24—84no—
1968C24—82no—
1969C24—82no—
1970C24—82no—
1971C24—82no—
1972C24—864no—
1973C24—864no—
1974C24—864no—
1975C24—864no—
1976C24—832no—
1977C24—816no—
1978C24—816no—
1979C24—864no—
1980C24—864no—
1981C24—864no—
1982C24—864no—
1983C24—832no—
1984C24—864no—
1985C24—832no—
1986C24—864no—
1987C24—832no—
1988C24—864no—
1989C24—832no—
1990C24—832no—
1991C24—864no—
1992C24—832no—
1993C24—864no—
1994C24—864no—
1995C24—864no—
1996C24—816no—
1997C24—832no—
1998C24—81024no—
1999C24—864no—
2000C24—816no—
2001C24#53514yes—
2002C24#57618yes—
2003C24C23×D411yescharacteristic
2004C24C23×D411yescharacteristic
2005C24C23×D412yes—
2006C24C23×D412yes—
2007C24C23×D411yescharacteristic
2008#41—816no—
2009#41—816no—
2010#41—816no—
2011#41—816no—
2012#41—1616no—
2013C2×Q8—24no—
2014C2×Q8—24no—
2015C2×Q8—24no—
2016C2×Q8—42no—
2017C2×Q8—42no—
2018C2×Q8—42no—
2019C2×Q8—84no—
2020C2×Q8—82no—
2021C2×Q8—88no—
2022C2×D4—264no—
2023C2×D4—28no—
2024C2×D4—28no—
2025C2×D4—28no—
2026C2×D4—28no—
2027C2×D4—28no—
2028C2×D4—28no—
2029C2×D4—28no—
2030C2×D4—28no—
2031C2×D4—24no—
2032C2×D4—24no—
2033C2×D4—24no—
2034C2×D4—28no—
2035C2×D4—24no—
2036C2×D4—24no—
2037C2×D4—24no—
2038C2×D4—28no—
2039C2×D4—24no—
2040C2×D4—28no—
2041C2×D4—28no—
2042C2×D4—416no—
2043C2×D4—416no—
2044C2×D4—432no—
2045C2×D4—432no—
2046C2×D4—432no—
2047C2×D4—432no—
2048C2×D4—432no—
2049C2×D4—432no—
2050C2×D4—416no—
2051C2×D4—416no—
2052C2×D4—416no—
2053C2×D4—416no—
2054C2×D4—432no—
2055C2×D4—432no—
2056C2×D4—432no—
2057C2×D4—432no—
2058C2×D4—432no—
2059C2×D4—432no—
2060C2×D4—44no—
2061C2×D4—44no—
2062C2×D4—44no—
2063C2×D4—44no—
2064C2×D4—44no—
2065C2×D4—44no—
2066C2×D4—44no—
2067C2×D4—44no—
2068C2×D4—432no—
2069C2×D4—416no—
2070C2×D4—416no—
2071C2×D4—416no—
2072C2×D4—42no—
2073C2×D4—42no—
2074C2×D4—48no—
2075C2×D4—48no—
2076C2×D4—48no—
2077C2×D4—48no—
2078C2×D4—416no—
2079C2×D4—416no—
2080C2×D4—432no—
2081C2×D4—432no—
2082C2×D4—432no—
2083C2×D4—4128no—
2084C2×D4—464no—
2085C2×D4—4128no—
2086C2×D4—4128no—
2087C2×D4—4128no—
2088C2×D4—4128no—
2089C2×D4—4128no—
2090C2×D4—4128no—
2091C2×D4—4128no—
2092C2×D4—464no—
2093C2×D4—432no—
2094C2×D4—48no—
2095C2×D4—44no—
2096C2×D4—44no—
2097C2×D4—44no—
2098C2×D4—44no—
2099C2×D4—48no—
2100C2×D4—48no—
2101C2×D4—48no—
2102C2×D4—48no—
2103C2×D4—44no—
2104C2×D4—48no—
2105C2×D4—44no—
2106C2×D4—48no—
2107C2×D4—48no—
2108C2×D4—48no—
2109C2×D4—48no—
2110C2×D4—48no—
2111C2×D4—48no—
2112C2×D4—48no—
2113C2×D4—48no—
2114C2×D4—48no—
2115C2×D4—48no—
2116C2×D4—44no—
2117C2×D4—44no—
2118C2×D4—416no—
2119C2×D4—44no—
2120C2×D4—44no—
2121C2×D4—44no—
2122C2×D4—42no—
2123C2×D4—88no—
2124C2×D4—816no—
2125C2×D4—82no—
2126C2×D4—88no—
2127C2×D4—88no—
2128C2×D4—88no—
2129C2×D4—88no—
2130C2×D4—88no—
2131C2×D4—88no—
2132C2×D4—88no—
2133C2×D4—88no—
2134C2×D4—84no—
2135C2×D4—84no—
2136C2×D4—82no—
2137C2×D4—82no—
2138C2×D4—82no—
2139C2×D4—84no—
2140C2×D4—84no—
2141C2×D4—84no—
2142C2×D4—84no—
2143C2×D4—84no—
2144C2×D4—84no—
2145C2×D4—84no—
2146C2×D4—84no—
2147C2×D4—84no—
2148C2×D4—84no—
2149C2×D4—84no—
2150C2×D4—832no—
2151C2×D4—816no—
2152C2×D4—1616no—
2153C2×D4—1616no—
2154C2×D4—1632no—
2155C2×D4—1616no—
2156C2×D4—1616no—
2157C2×D4—1616no—
2158C2×D4C2×H(5,𝔽2)18yes—
2159C2×D4C2×H(5,𝔽2)18yes—
2160C22×C4—232no—
2161C22×C4—22no—
2162C22×C4—22no—
2163C22×C4—22no—
2164C22×C4—22no—
2165C22×C4—22no—
2166C22×C4—24no—
2167C22×C4—24no—
2168C22×C4—22no—
2169C22×C4—22no—
2170C22×C4—22no—
2171C22×C4—22no—
2172C22×C4—22no—
2173C22×C4—22no—
2174C22×C4—22no—
2175C22×C4—22no—
2176C22×C4—22no—
2177C22×C4—22no—
2178C22×C4—24no—
2179C22×C4—24no—
2180C22×C4—22no—
2181C22×C4—24no—
2182C22×C4—24no—
2183C22×C4—24no—
2184C22×C4—28no—
2185C22×C4—24no—
2186C22×C4—28no—
2187C22×C4—24no—
2188C22×C4—24no—
2189C22×C4—24no—
2190C22×C4—24no—
2191C22×C4—24no—
2192C22×C4—24no—
2193C22×C4—24no—
2194C22×C4—24no—
2195C22×C4—24no—
2196C22×C4—24no—
2197C22×C4—24no—
2198C22×C4—24no—
2199C22×C4—24no—
2200C22×C4—24no—
2201C22×C4—24no—
2202C22×C4—24no—
2203C22×C4—22no—
2204C22×C4—416no—
2205C22×C4—42no—
2206C22×C4—42no—
2207C22×C4—42no—
2208C22×C4—42no—
2209C22×C4—42no—
2210C22×C4—42no—
2211C22×C4—42no—
2212C22×C4—42no—
2213C22×C4—41no—
2214C22×C4—41no—
2215C22×C4—42no—
2216C22×C4—42no—
2217C22×C4—41no—
2218C22×C4—41no—
2219C22×C4—432no—
2220C22×C4—432no—
2221C22×C4—44no—
2222C22×C4—44no—
2223C22×C4—44no—
2224C22×C4—432no—
2225C22×C4—416no—
2226C22×C4—432no—
2227C22×C4—416no—
2228C22×C4—416no—
2229C22×C4—44no—
2230C22×C4—44no—
2231C22×C4—44no—
2232C22×C4—44no—
2233C22×C4—416no—
2234C22×C4—44no—
2235C22×C4—42no—
2236C22×C4—42no—
2237C22×C4—44no—
2238C22×C4—42no—
2239C22×C4—44no—
2240C22×C4—44no—
2241C22×C4—44no—
2242C22×C4—44no—
2243C22×C4—44no—
2244C22×C4—44no—
2245C22×C4—84no—
2246C22×C4—84no—
2247C22×C4—84no—
2248C22×C4—84no—
2249C22×C4—84no—
2250C22×C4—84no—
2251C22×C4—816no—
2252C22×C4—82no—
2253C22×C4—82no—
2254C22×C4—82no—
2255C22×C4—82no—
2256C22×C4—82no—
2257C22×C4—82no—
2258C22×C4#53518yes—
2259C22×C4#53514yes—
2260C22×C4C23×D412yes—
2261C22×C4C23×D412yes—
2262C22×C4C23×D412yes—
2263C22×C4C23×D414yes—
2264C22×C4C23×D414yes—
2265C22×C4C23×D412yes—
2266C22×C4C23×D412yes—
2267C22×C4C23×D411yescharacteristic
2268C22×C4C23×D412yes—
2269C22×C4C23×D411yescharacteristic
2270C22×C4C23×D411yescharacteristic
2271C22×C4C2×H(5,𝔽2)14yes—
2272C22×C4C2×H(5,𝔽2)18yes—
2273C22×C4C2×H(5,𝔽2)14yes—
2274C22×C4C2×H(5,𝔽2)14yes—
2275C22×C4C2611yescharacteristic
2276SD16—168no—
2277D8—816no—
2278D8—816no—
2279D8—816no—
2280D8—816no—
2281D8—168no—
2282C2×C8—28no—
2283C2×C8—28no—
2284C2×C8—28no—
2285C2×C8—28no—
2286C2×C8—28no—
2287C2×C8—28no—
2288C2×C8—816no—
2289C4⋊C4—28no—
2290C4⋊C4—24no—
2291C4⋊C4—28no—
2292C4⋊C4—24no—
2293C4⋊C4—28no—
2294C4⋊C4—24no—
2295C4⋊C4—24no—
2296C4⋊C4—41no—
2297C4⋊C4—42no—
2298C4⋊C4—41no—
2299C4⋊C4—41no—
2300C4⋊C4—42no—
2301C4⋊C4—41no—
2302C4⋊C4—42no—
2303C4⋊C4—42no—
2304C4⋊C4—44no—
2305C4⋊C4—48no—
2306C4⋊C4—44no—
2307C4⋊C4—48no—
2308C4⋊C4—82no—
2309C4⋊C4—82no—
2310C4⋊C4—84no—
2311C4⋊C4—84no—
2312C4⋊C4—82no—
2313C4⋊C4—84no—
2314C4⋊C4—84no—
2315C4⋊C4—84no—
2316C4⋊C4—84no—
2317C22⋊C4—28no—
2318C22⋊C4—28no—
2319C22⋊C4—28no—
2320C22⋊C4—28no—
2321C22⋊C4—28no—
2322C22⋊C4—28no—
2323C22⋊C4—28no—
2324C22⋊C4—42no—
2325C22⋊C4—42no—
2326C22⋊C4—42no—
2327C22⋊C4—42no—
2328C22⋊C4—42no—
2329C22⋊C4—42no—
2330C22⋊C4—44no—
2331C22⋊C4—44no—
2332C22⋊C4—48no—
2333C22⋊C4—48no—
2334C22⋊C4—48no—
2335C22⋊C4—48no—
2336C22⋊C4—416no—
2337C22⋊C4—416no—
2338C22⋊C4—48no—
2339C22⋊C4—44no—
2340C22⋊C4—48no—
2341C22⋊C4—44no—
2342C22⋊C4—48no—
2343C22⋊C4—48no—
2344C22⋊C4—48no—
2345C22⋊C4—48no—
2346C22⋊C4—48no—
2347C22⋊C4—48no—
2348C22⋊C4—48no—
2349C22⋊C4—48no—
2350C22⋊C4—48no—
2351C22⋊C4—88no—
2352C22⋊C4—88no—
2353C22⋊C4—88no—
2354C22⋊C4—88no—
2355C22⋊C4—88no—
2356C22⋊C4—88no—
2357C22⋊C4—88no—
2358C22⋊C4—88no—
2359C22⋊C4—84no—
2360C22⋊C4—84no—
2361C22⋊C4—84no—
2362C22⋊C4—84no—
2363C22⋊C4—84no—
2364C22⋊C4—84no—
2365C22⋊C4—84no—
2366C22⋊C4—84no—
2367C22⋊C4—84no—
2368C22⋊C4—84no—
2369C22⋊C4—84no—
2370C22⋊C4—84no—
2371C22⋊C4—84no—
2372C22⋊C4—84no—
2373C22⋊C4—84no—
2374C42—22no—
2375C42—24no—
2376C42—22no—
2377C42—22no—
2378C42—22no—
2379C42—24no—
2380C42—24no—
2381C42—24no—
2382C42—44no—
2383C42—44no—
2384C42—44no—
2385C42—84no—
2386C42—84no—
2387C23—21no—
2388C23—22no—
2389C23—22no—
2390C23—22no—
2391C23—22no—
2392C23—22no—
2393C23—21no—
2394C23—28no—
2395C23—216no—
2396C23—21no—
2397C23—21no—
2398C23—21no—
2399C23—22no—
2400C23—22no—
2401C23—22no—
2402C23—22no—
2403C23—22no—
2404C23—22no—
2405C23—22no—
2406C23—22no—
2407C23—22no—
2408C23—216no—
2409C23—216no—
2410C23—216no—
2411C23—22no—
2412C23—21no—
2413C23—28no—
2414C23—28no—
2415C23—44no—
2416C23—48no—
2417C23—48no—
2418C23—48no—
2419C23—44no—
2420C23—48no—
2421C23—48no—
2422C23—48no—
2423C23—48no—
2424C23—48no—
2425C23—44no—
2426C23—48no—
2427C23—48no—
2428C23—48no—
2429C23—48no—
2430C23—44no—
2431C23—48no—
2432C23—44no—
2433C23—44no—
2434C23—48no—
2435C23—48no—
2436C23—464no—
2437C23—416no—
2438C23—416no—
2439C23—416no—
2440C23—416no—
2441C23—416no—
2442C23—416no—
2443C23—416no—
2444C23—432no—
2445C23—4128no—
2446C23—44no—
2447C23—48no—
2448C23—44no—
2449C23—464no—
2450C23—44no—
2451C23—44no—
2452C23—48no—
2453C23—48no—
2454C23—48no—
2455C23—48no—
2456C23—416no—
2457C23—44no—
2458C23—44no—
2459C23—44no—
2460C23—44no—
2461C23—42no—
2462C23—42no—
2463C23—44no—
2464C23—44no—
2465C23—44no—
2466C23—44no—
2467C23—44no—
2468C23—44no—
2469C23—42no—
2470C23—44no—
2471C23—816no—
2472C23—832no—
2473C23—832no—
2474C23—832no—
2475C23—832no—
2476C23—832no—
2477C23—832no—
2478C23—816no—
2479C23—816no—
2480C23—88no—
2481C23—816no—
2482C23—832no—
2483C23—832no—
2484C23—816no—
2485C23—816no—
2486C23—816no—
2487C23—84no—
2488C23—88no—
2489C23—84no—
2490C23—88no—
2491C23—88no—
2492C23—88no—
2493C23—88no—
2494C23—88no—
2495C23—816no—
2496C23—832no—
2497C23—832no—
2498C23—8512no—
2499C23—8256no—
2500C23—8128no—
2501C23—8128no—
2502C23—8512no—
2503C23—8256no—
2504C23—88no—
2505C23—88no—
2506C23—816no—
2507C23—816no—
2508C23—832no—
2509C23—88no—
2510C23—88no—
2511C23—816no—
2512C23—832no—
2513C23—88no—
2514C23—84no—
2515C23—88no—
2516C23—164no—
2517C23—164no—
2518C23—164no—
2519C23—164no—
2520C23—164no—
2521C23—164no—
2522C23C2×#53512yes—
2523C23C2×#53514yes—
2524C23#348412yes—
2525C23#348412yes—
2526C23C2×#57614yes—
2527C23C2×#57614yes—
2528C23C2×#57614yes—
2529C23#358514yes—
2530C23C24×D411yescharacteristic
2531Q8—48no—
2532Q8—84no—
2533Q8—164no—
2534D4—216no—
2535D4—216no—
2536D4—416no—
2537D4—416no—
2538D4—416no—
2539D4—416no—
2540D4—416no—
2541D4—416no—
2542D4—464no—
2543D4—464no—
2544D4—48no—
2545D4—48no—
2546D4—48no—
2547D4—48no—
2548D4—48no—
2549D4—84no—
2550D4—816no—
2551D4—88no—
2552D4—88no—
2553D4—816no—
2554D4—816no—
2555D4—816no—
2556D4—164no—
2557D4—168no—
2558D4—168no—
2559D4—168no—
2560D4—168no—
2561D4—1616no—
2562D4—1616no—
2563D4—164no—
2564D4—164no—
2565D4—168no—
2566D4—168no—
2567D4—168no—
2568D4—168no—
2569D4—324no—
2570C2×C4—28no—
2571C2×C4—28no—
2572C2×C4—28no—
2573C2×C4—21no—
2574C2×C4—21no—
2575C2×C4—21no—
2576C2×C4—21no—
2577C2×C4—22no—
2578C2×C4—22no—
2579C2×C4—21no—
2580C2×C4—21no—
2581C2×C4—216no—
2582C2×C4—28no—
2583C2×C4—28no—
2584C2×C4—28no—
2585C2×C4—22no—
2586C2×C4—22no—
2587C2×C4—22no—
2588C2×C4—22no—
2589C2×C4—24no—
2590C2×C4—24no—
2591C2×C4—22no—
2592C2×C4—22no—
2593C2×C4—24no—
2594C2×C4—24no—
2595C2×C4—24no—
2596C2×C4—24no—
2597C2×C4—24no—
2598C2×C4—24no—
2599C2×C4—24no—
2600C2×C4—24no—
2601C2×C4—22no—
2602C2×C4—48no—
2603C2×C4—44no—
2604C2×C4—48no—
2605C2×C4—48no—
2606C2×C4—48no—
2607C2×C4—48no—
2608C2×C4—48no—
2609C2×C4—48no—
2610C2×C4—48no—
2611C2×C4—44no—
2612C2×C4—48no—
2613C2×C4—48no—
2614C2×C4—42no—
2615C2×C4—42no—
2616C2×C4—44no—
2617C2×C4—44no—
2618C2×C4—44no—
2619C2×C4—44no—
2620C2×C4—44no—
2621C2×C4—44no—
2622C2×C4—44no—
2623C2×C4—44no—
2624C2×C4—44no—
2625C2×C4—44no—
2626C2×C4—44no—
2627C2×C4—42no—
2628C2×C4—44no—
2629C2×C4—88no—
2630C2×C4—88no—
2631C2×C4—84no—
2632C2×C4—88no—
2633C2×C4—84no—
2634C2×C4—88no—
2635C2×C4—168no—
2636C2×C4—164no—
2637C2×C4—164no—
2638C2×C4—164no—
2639C2×C4—324no—
2640C2×C4C2×#53512yes—
2641C2×C4C2×#53514yes—
2642C2×C4#348412yes—
2643C2×C4#348412yes—
2644C2×C4C22×H(5,𝔽2)12yes—
2645C2×C4C22×H(5,𝔽2)12yes—
2646C2×C4C22×H(5,𝔽2)12yes—
2647C8—48no—
2648C8—48no—
2649C22—24no—
2650C22—24no—
2651C22—24no—
2652C22—22no—
2653C22—24no—
2654C22—22no—
2655C22—24no—
2656C22—24no—
2657C22—24no—
2658C22—24no—
2659C22—24no—
2660C22—24no—
2661C22—24no—
2662C22—22no—
2663C22—22no—
2664C22—24no—
2665C22—24no—
2666C22—432no—
2667C22—416no—
2668C22—416no—
2669C22—432no—
2670C22—416no—
2671C22—41no—
2672C22—41no—
2673C22—42no—
2674C22—42no—
2675C22—42no—
2676C22—41no—
2677C22—41no—
2678C22—42no—
2679C22—42no—
2680C22—42no—
2681C22—48no—
2682C22—48no—
2683C22—48no—
2684C22—48no—
2685C22—416no—
2686C22—832no—
2687C22—832no—
2688C22—8128no—
2689C22—832no—
2690C22—832no—
2691C22—832no—
2692C22—832no—
2693C22—8128no—
2694C22—84no—
2695C22—88no—
2696C22—88no—
2697C22—84no—
2698C22—88no—
2699C22—84no—
2700C22—82no—
2701C22—84no—
2702C22—84no—
2703C22—84no—
2704C22—82no—
2705C22—84no—
2706C22—82no—
2707C22—84no—
2708C22—84no—
2709C22—84no—
2710C22—84no—
2711C22—168no—
2712C22—328no—
2713C22#6081118yes—
2714C22#6163014yes—
2715C22C22×#53511yescharacteristic
2716C22C2×#348411yescharacteristic
2717C22C2×#348411yescharacteristic
2718C22C22×#57612yes—
2719C22C2×#358512yes—
2720C4—22no—
2721C4—22no—
2722C4—22no—
2723C4—24no—
2724C4—42no—
2725C4—42no—
2726C4—42no—
2727C4—42no—
2728C4—42no—
2729C4—44no—
2730C4—44no—
2731C4—84no—
2732C4—84no—
2733C4—84no—
2734C4—82no—
2735C4—84no—
2736C4#6281714yes—
2737C2—24no—
2738C2—28no—
2739C2—44no—
2740C2—42no—
2741C2—42no—
2742C2—88no—
2743C2—88no—
2744C2—162no—
2745C2—164no—
2746C2#764227311yescharacteristic
2747C2C2×#6081112yes—
2748C2C2×#6163011yescharacteristic
2749C2#1057731411yescharacteristic
2750C2#1057733812yes—
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #7712654C2semidirect
2. C2×#35222C2semidirect
3. #6745780C2semidirect
4. #6745658C2semidirect
5. #6745622C2semidirect
6. #6668628C2semidirect
7. #6668348C2semidirect
8. #6668300C2semidirect
9. #6632196C2semidirect
10. #6632184C2semidirect
11. C2×#32878C2semidirect
12. #6506692C2semidirect
13. #6506435C2semidirect
14. #6500319C2semidirect
15. #6487481C2semidirect
16. #6487440C2semidirect
17. #6475903C2semidirect
18. #6475851C2semidirect
19. #6469941C2semidirect
20. #6386514C2semidirect
22. C22×#535C22semidirect
23. C22×#535C22semidirect
25. C2×#3220C22semidirect
26. C2×#3213C22semidirect
27. C2×#3205C22semidirect
28. C2×#3188C22semidirect
29. C22×#447C22semidirect
30. C22×#447C22semidirect
31. C22×#447C22semidirect
40. #37852C22semidirect
41. #37662C22semidirect
42. #37477C22semidirect
43. #37450C22semidirect
44. #37284C22semidirect
45. #37283C22semidirect
48. #36168C22semidirect
49. #36123C22semidirect
50. #35301C22semidirect
51. #35261C22semidirect
58. #35222C22semidirect
59. #35222C22semidirect
60. #35222C22semidirect
61. C2×#2435C22semidirect
62. C2×#2433C22semidirect
66. #34379C22semidirect
67. C2×#2309C22semidirect
68. C2×#2309C22semidirect
70. #32981C22semidirect
71. #32880C22semidirect
74. #32878C22semidirect
75. #32878C22semidirect
76. #32878C22semidirect
77. #32878C22semidirect
78. #31314C22semidirect
79. #31310C22semidirect
80. #31298C22semidirect
81. #31294C22semidirect
82. #31008C22semidirect
83. #31000C22semidirect
84. #30992C22semidirect
85. #30984C22semidirect
86. #30539C22semidirect
87. #30535C22semidirect
88. #30523C22semidirect
89. #30519C22semidirect
90. #30468C22semidirect
91. #30468C22semidirect
92. #30444C22semidirect
93. #30444C22semidirect
94. #29959C22semidirect
95. #29956C22semidirect
96. #29721C22semidirect
97. #29712C22semidirect
98. #29630C22semidirect
99. #29623C22semidirect
100. #29622C22semidirect
101. #29600C22semidirect
102. #29116C22semidirect
103. #29115C22semidirect
104. #28341C22semidirect
105. #28331C22semidirect
106. #28319C22semidirect
107. #28319C22semidirect
108. #28126C22semidirect
109. #28126C22semidirect
110. #27591C22semidirect
111. #27588C22semidirect
112. #27264C22semidirect
113. #27262C22semidirect
114. #27256C22semidirect
115. #27254C22semidirect
116. #25867C22semidirect
117. #25865C22semidirect
118. #25865C22semidirect
119. #25860C22semidirect
120. #25859C22semidirect
121. #25788C22semidirect
122. #25779C22semidirect
123. #25734C22semidirect
124. #25734C22semidirect
125. #25734C22semidirect
126. #25731C22semidirect
127. #25721C22semidirect
128. #25088C22semidirect
129. #25088C22semidirect
130. #25076C22semidirect
131. #25076C22semidirect
132. #24512C22semidirect
133. #24506C22semidirect
134. #24500C22semidirect
135. #24479C22semidirect
136. #24478C22semidirect
137. #24382C22semidirect
138. #24381C22semidirect
139. #24378C22semidirect
140. #24355C22semidirect
141. #24354C22semidirect
142. #24218C22semidirect
143. #24218C22semidirect
144. #24218C22semidirect
145. #24215C22semidirect
146. #24208C22semidirect
147. #24007C22semidirect
148. #24006C22semidirect
149. #24005C22semidirect
150. #23939C22semidirect
151. #23930C22semidirect
152. #23920C22semidirect
153. #23919C22semidirect
154. #23918C22semidirect
155. #22558C22semidirect
156. #22554C22semidirect
157. #22552C22semidirect
158. #22056C22semidirect
159. #22046C22semidirect
160. #22040C22semidirect
161. #21931C22semidirect
162. #21910C22semidirect
163. #21908C22semidirect
164. #21813C22semidirect
165. #21810C22semidirect
166. #21806C22semidirect
167. #21763C22semidirect
168. #20717C22semidirect
169. #20716C22semidirect
170. C2×#1786C22semidirect
171. C2×#1786C22semidirect
172. C2×#1786C22semidirect
174. #20528C22semidirect
194. C2×#540C23semidirect
208. C2×#532C23semidirect
243. C2×#496C23semidirect
244. C2×#496C23semidirect
245. C2×#493C23semidirect
246. C2×#493C23semidirect
247. C2×#490C23semidirect
248. C2×#489C23semidirect
249. C2×#488C23semidirect
250. C2×#486C23semidirect
251. C2×#484C23semidirect
252. C2×#481C23semidirect
253. C2×#482C23semidirect
254. C2×#466C23semidirect
255. C2×#465C23semidirect
256. C2×#463C23semidirect
257. C2×#463C23semidirect
258. C2×#459C23semidirect
259. C2×#459C23semidirect
260. C2×#449C23semidirect
261. C2×#449C23semidirect
262. C2×#448C23semidirect
263. C2×#450C23semidirect
281. C2×#447C23semidirect
282. C2×#447C23semidirect
283. C2×#433C23semidirect
284. C2×#432C23semidirect
285. C2×#431C23semidirect
292. #2856C23semidirect
293. #2854C23semidirect
294. #2851C23semidirect
331. #2629C23semidirect
332. #2628C23semidirect
333. #2628C23semidirect
334. #2624C23semidirect
335. #2619C23semidirect
336. #2619C23semidirect
337. #2619C23semidirect
360. #2504C23semidirect
361. #2495C23semidirect
362. #2494C23semidirect
363. #2491C23semidirect
364. #2490C23semidirect
371. #2442C23semidirect
372. #2440C23semidirect
390. #2433C23semidirect
392. #2428C23semidirect
393. #2428C23semidirect
395. #2422C23semidirect
396. #2420C23semidirect
425. #2361C23semidirect
426. #2361C23semidirect
430. #2345C23semidirect
432. D4×C22⋊C4C23semidirect
435. #2324C23semidirect
436. #2324C23semidirect
437. #2324C23semidirect
439. #2314C23semidirect
452. C4×#121C23semidirect
461. #2283C23semidirect
483. #2092C23semidirect
484. #2092C23semidirect
485. #2073C23semidirect
486. #2071C23semidirect
487. #2067C23semidirect
488. #2067C23semidirect
489. #2065C23semidirect
490. #2065C23semidirect
491. #2054C23semidirect
492. #2054C23semidirect
493. #2054C23semidirect
494. #2054C23semidirect
495. #2042C23semidirect
496. #2042C23semidirect
497. #2042C23semidirect
498. #2042C23semidirect
499. #2041C23semidirect
500. #2041C23semidirect
501. #2041C23semidirect
502. #2041C23semidirect
503. #2036C23semidirect
504. #2035C23semidirect
505. #2034C23semidirect
506. #2033C23semidirect
507. #2025C23semidirect
508. #2023C23semidirect
509. #2012C23semidirect
510. #2012C23semidirect
511. #2012C23semidirect
512. #2012C23semidirect
513. #2011C23semidirect
514. #2011C23semidirect
515. #2011C23semidirect
516. #2011C23semidirect
517. #2011C23semidirect
518. #2011C23semidirect
519. #2000C23semidirect
520. #2000C23semidirect
521. #1999C23semidirect
522. #1999C23semidirect
523. #1983C23semidirect
524. #1983C23semidirect
525. #1982C23semidirect
526. #1982C23semidirect
527. #1972C23semidirect
528. #1972C23semidirect
529. #1970C23semidirect
530. #1970C23semidirect
531. #1961C23semidirect
532. #1961C23semidirect
533. #1961C23semidirect
534. #1959C23semidirect
535. #1958C23semidirect
536. #1958C23semidirect
537. #1958C23semidirect
538. #1957C23semidirect
539. #1936C23semidirect
540. #1936C23semidirect
541. #1934C23semidirect
542. #1934C23semidirect
543. #1926C23semidirect
544. #1926C23semidirect
545. #1925C23semidirect
546. #1925C23semidirect
547. #1924C23semidirect
548. #1924C23semidirect
549. #1923C23semidirect
550. #1923C23semidirect
551. #1893C23semidirect
552. #1892C23semidirect
553. #1879C23semidirect
554. #1879C23semidirect
555. #1879C23semidirect
556. #1879C23semidirect
557. #1875C23semidirect
558. #1874C23semidirect
559. #1874C23semidirect
560. #1874C23semidirect
561. #1874C23semidirect
562. #1872C23semidirect
563. #1872C23semidirect
564. #1854C23semidirect
565. #1853C23semidirect
566. #1852C23semidirect
567. #1850C23semidirect
568. #1850C23semidirect
569. #1825C23semidirect
570. #1818C23semidirect
571. #1817C23semidirect
572. #1798C23semidirect
573. #1798C23semidirect
574. #1798C23semidirect
575. #1797C23semidirect
576. #1788C23semidirect
577. #1788C23semidirect
578. #1787C23semidirect
593. #1786C23semidirect
599. #1752C23semidirect
600. C8×C22⋊C4C23semidirect
601. #1750C23semidirect
602. #1750C23semidirect
603. #1750C23semidirect
604. #1749C23semidirect
605. C4×C22⋊C8C23semidirect
711. C22×SD16C24semidirect
719. C22×D8C24semidirect
738. C2×C4⋊Q8C24semidirect
749. C2×#127C24semidirect
750. C2×#127C24semidirect
751. C2×#125C24semidirect
860. C2×C4×D4C24semidirect
861. C2×C4×D4C24semidirect
952. C2×#107C24semidirect
953. C2×#106C24semidirect
954. C2×C4⋊C8C24semidirect
955. C2×C4⋊C8C24semidirect
956. C2×C4⋊C8C24semidirect
957. C2×#103C24semidirect
958. C2×#103C24semidirect
959. C2×#103C24semidirect
975. C2×#102C24semidirect
976. C2×#102C24semidirect
977. C2×#102C24semidirect
978. C2×#102C24semidirect
979. C2×#102C24semidirect
992. C2×#97C24semidirect
993. C2×#97C24semidirect
994. C2×C4×C8C24semidirect
995. C2×C4×C8C24semidirect
1082. #390C24semidirect
1083. #390C24semidirect
1084. #390C24semidirect
1085. #390C24semidirect
1086. #389C24semidirect
1087. #389C24semidirect
1088. #389C24semidirect
1089. #389C24semidirect
1143. #384C24semidirect
1146. #382C24semidirect
1147. #382C24semidirect
1148. #382C24semidirect
1205. C4×C4⋊C4C24semidirect
1206. C4×C4⋊C4C24semidirect
1224. #340C24semidirect
1225. #340C24semidirect
1226. #340C24semidirect
1227. #340C24semidirect
1228. #336C24semidirect
1229. #336C24semidirect
1230. #336C24semidirect
1231. #336C24semidirect
1232. #336C24semidirect

Maximal subgroups

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

subgroupindex
#77126542
C2×#352222
#67457802
#67456582
#67456222
#66686282
#66683482
#66683002
#66321962
#66321842
C2×#328782
#65066922
#65064352
#65003192
#64874812
#64874402
#64759032
#64758512
#64699412
#63865142