Finite Group Databasebeta

← #72315387

Subgroups — #72315387

Order 1024.

14055 conjugacy classes of subgroups.

The subgroup lattice has 2903 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#7670355C211yesmaximal, characteristic, complemented
2C2×#36101C211yesmaximal, characteristic, complemented
3#7535953C218yesmaximal, complemented
4#7529630C214yesmaximal, complemented
5#7521522C214yesmaximal, complemented
6#6802693C212yesmaximal, complemented
7#6802523C212yesmaximal, complemented
8#6801403C214yesmaximal, complemented
9#6718334C214yesmaximal, complemented
10#6718046C214yesmaximal, complemented
11C2×#32902C211yesmaximal, characteristic, complemented
12#6625153C214yesmaximal, complemented
13#6624510C212yesmaximal, complemented
14#6617420C212yesmaximal, complemented
15#6589638C214yesmaximal, complemented
16#6578155C214yesmaximal, complemented
17#6506662C212yesmaximal, complemented
18#6500278C212yesmaximal, complemented
19#6473222C211yesmaximal, characteristic, complemented
20#6473035C211yesmaximal, characteristic, complemented
21#6470689C212yesmaximal, complemented
22#6394561C212yesmaximal, complemented
23#6390069C211yesmaximal, characteristic, complemented
24C2×C4×#450C211yesmaximal, characteristic, complemented
25C22×#550C2211yescharacteristic, complemented
26C22×#525—21no—
27C23×C4×D4C2211yescharacteristic
28C2×#3399C2214yescomplemented
29C2×#3187C2212yes—
30C2×#3186C2212yes—
31C2×#3186C2212yes—
32C22×#459C2212yescomplemented
33C22×#450C2211yescharacteristic
34C22×#447C2212yes—
35C22×C4×SD16C2212yescomplemented
36#59862—22no—
37#59862C2214yescomplemented
38#59861—22no—
39#59329C2212yescomplemented
40#59143C2212yescomplemented
41#39768—21no—
42#39768C2212yescomplemented
43#39767—21no—
44#39767C2212yescomplemented
45#39764—22no—
46#39764—22no—
47C2×#2856C2211yescharacteristic
48C2×#2856C2211yescharacteristic
49C2×#2847—21no—
50#36606—22no—
51#36606C2214yescomplemented
52#36587C2212yescomplemented
53#36587C2212yescomplemented
54#36580C2212yescomplemented
55#36580C2212yescomplemented
56#36101—22no—
57#36101—22no—
58#36101—22no—
59#36101—22no—
60#36101C2214yes—
61#36101C2214yes—
62#36101C2214yescomplemented
63#36101C2214yescomplemented
64#35351—22no—
65#35019—21no—
66#35019C2212yes—
67C2×#2538C2211yescharacteristic, complemented
68C2×#2541C2211yescharacteristic, complemented
69C2×#2414—21no—
70C2×#2407—21no—
71C2×#2445C2212yescomplemented
72C2×#2433C2212yes—
73C2×#2456—22no—
74C2×#2424—22no—
75#34205—21no—
76#34205C2212yes—
77C2×#2366C2212yescomplemented
78C2×#2361C2212yes—
79C2×#2354C2211yescharacteristic, complemented
80C2×C4×C22⋊Q8C2211yescharacteristic
81C2×C4×C22⋊Q8C2211yescharacteristic
82#33171C2214yescomplemented
83#33111C2214yescomplemented
84#33107C2212yescomplemented
85#32908C2214yescomplemented
86#32903C2212yescomplemented
87#32902C2212yes—
88#32902C2212yes—
89#32902C2212yes—
90#32902C2212yes—
91#32902C2214yescomplemented
92#32902C2214yescomplemented
93#32659C2218yescomplemented
94#32612C2218yescomplemented
95#32178C2218yescomplemented
96#31918C2218yescomplemented
97#31598C2218yescomplemented
98#31224C2218yescomplemented
99#30753C2218yescomplemented
100#30749C2218yescomplemented
101#30239C2214yescomplemented
102#29760C2214yescomplemented
103#29755C2212yescomplemented
104#29718C2214yescomplemented
105#29713C2212yescomplemented
106#28890C2218yescomplemented
107#28574C2214yescomplemented
108#28470C2214yescomplemented
109#28344C2218yescomplemented
110#28341C2218yescomplemented
111#28312C2214yescomplemented
112#28312C2214yescomplemented
113#28301C2214yescomplemented
114#28301C2214yescomplemented
115#28272C2214yescomplemented
116#28120C2214yescomplemented
117#28114C2214yescomplemented
118#28114C2214yescomplemented
119#27909C2212yescomplemented
120#27909C2212yescomplemented
121#27755C2214yescomplemented
122#27647C2212yescomplemented
123#27504C2218yescomplemented
124#27206C2218yescomplemented
125#27199C2218yescomplemented
126#27081C2218yescomplemented
127#27065C2218yescomplemented
128#26601C2218yescomplemented
129#26597C2218yescomplemented
130#26587C2218yescomplemented
131#26541C2218yescomplemented
132#26257C2218yescomplemented
133#26087C2214yescomplemented
134#25788C2218yescomplemented
135#25783C2218yescomplemented
136#25725C2214yescomplemented
137#25725C2214yescomplemented
138#25721C2212yescomplemented
139#25721C2212yescomplemented
140#25637C2218yescomplemented
141#25631C2214yescomplemented
142#25376C2218yescomplemented
143#25364C2214yescomplemented
144#25300C2214yescomplemented
145#25214C2218yescomplemented
146#25212C2218yescomplemented
147#25090C2218yescomplemented
148#25088C2218yescomplemented
149#25076C2218yescomplemented
150#25076C2218yescomplemented
151#25057C2214yescomplemented
152#24753C2214yescomplemented
153#24631C2214yescomplemented
154#24628C2214yescomplemented
155#24476C2218yescomplemented
156#24354C2218yescomplemented
157#24211C2212yescomplemented
158#24208C2214yescomplemented
159#24208C2214yescomplemented
160#24196C2218yescomplemented
161#24188C2214yescomplemented
162#24186C2214yescomplemented
163#23241C2214yescomplemented
164#23193C2218yescomplemented
165#23132C2218yescomplemented
166#23108C2218yescomplemented
167#23099C2214yescomplemented
168#23029C2218yescomplemented
169#22956C2214yescomplemented
170#22938C2218yescomplemented
171#22858C2218yescomplemented
172#22811C2214yescomplemented
173#22629C2212yescomplemented
174#22627C2214yescomplemented
175#22545C2214yescomplemented
176#22510C2212yescomplemented
177#22295C2214yescomplemented
178#22081C2214yescomplemented
179#22046C2214yescomplemented
180#21930C2212yes—
181#21758C2212yes—
182#21597C2214yescomplemented
183#21578C2214yescomplemented
184#21452C2214yescomplemented
185C4×#450C2212yescomplemented
186C4×#450C2212yescomplemented
187C4×#450C2214yescomplemented
188C4×#450C2212yescomplemented
189C4×#450C2214yescomplemented
190C4×#450C2212yescomplemented
191C2×#1879C2214yescomplemented
192C2×#1877C2212yescomplemented
193C2×#1874C2212yes—
194C2×#1872C2211yescharacteristic
195C2×#1864C2212yescomplemented
196C2×#1853C2211yescharacteristic
197C2×#1802C2212yescomplemented
198C2×#1797C2211yescharacteristic
199C2×#1786C2211yescharacteristic
200#20526C2212yes—
201C2×C4×#102C2212yescomplemented
202C2×C4×C22⋊C8C2211yescharacteristic
203C23×#41—21no—
204C24×D4C2311yescharacteristic
205C25×C4—21no—
206C23×SD16C2312yes—
207C23×D8C2314yes—
208C2×#559C2312yescomplemented
209C2×#550—22no—
210C2×#550—22no—
211C2×#550—48no—
212C2×#550C2314yes—
213C2×#550C2314yes—
214C22×#127C2311yescharacteristic
215C22×#127C2311yescharacteristic
216C22×#127C2312yes—
217C22×#127C2312yes—
218C2×#525—24no—
219C2×#525—24no—
220C2×#525—24no—
221C2×#525—24no—
222C2×#525—416no—
223C22×#123—22no—
224C22×C22⋊Q8—21no—
225C22×C22⋊Q8D411yescharacteristic
226C22×C22⋊Q8C2311yescharacteristic
227C22×#121—21no—
228C22×#121—21no—
229C22×#121—21no—
230C22×#121—21no—
231C22×#121—21no—
232C22×#121—22no—
233C22×#121—21no—
234C22×#121—21no—
235C22×#121C2312yes—
236C22×#121C2312yes—
237C22×#120—22no—
238C22×#120—22no—
239C2×#518—22no—
240C22×C4×Q8C2311yescharacteristic
241C22×C4×Q8C2311yescharacteristic
242C22×C4×D4—21no—
243C22×C4×D4—21no—
244C22×C4×D4—21no—
245C22×C4×D4—21no—
246C22×C4×D4—21no—
247C22×C4×D4—21no—
248C22×C4×D4—22no—
249C22×C4×D4—22no—
250C22×C4×D4—48no—
251C22×C4×D4C2311yescharacteristic
252C22×C4×D4C2312yes—
253C22×C4×D4C2312yes—
254C22×C4×D4C2312yes—
255C22×C4×D4C2312yes—
256C22×C4×D4C2312yes—
257C22×C4×D4C2311yescharacteristic
258C22×C4×D4C2311yescharacteristic
259C22×C4×D4C2311yescharacteristic
260C22×#117—21no—
261C23×C4⋊C4C2311yescharacteristic
262C23×C22⋊C4—21no—
263C23×C42C2311yescharacteristic
264#3399—416no—
265#3187—48no—
266#3186—216no—
267#3186—48no—
268C2×#496C2318yes—
269C2×#496C2318yes—
270C2×#493C2314yescomplemented
271C2×#481C2314yes—
272C2×#483C2314yes—
273C2×#480C2314yes—
274C2×#480C2314yes—
275C2×#480C2314yes—
276C2×#480C2314yes—
277C2×#466C2318yes—
278C2×#466C2318yes—
279C2×#465C2318yes—
280C2×#460C2314yescomplemented
281C2×#463C2318yescomplemented
282C2×#459—48no—
283C2×#459C2314yes—
284C2×#459C2318yes—
285C2×#459C2314yes—
286C2×#459C2314yes—
287C2×#459C2314yes—
288C2×#459C2318yes—
289C2×#448C2314yes—
290C2×#450—28no—
291C2×#450C2312yes—
292C2×#450C2312yes—
293C2×#450C2314yes—
294C2×#450C2314yes—
295C2×#447—48no—
296C2×#447C2314yes—
297C2×#447C2314yes—
298C2×#447C2314yes—
299C2×#447C2314yes—
300C2×#447C2314yes—
301C2×#447C2314yes—
302C2×#447C2318yes—
303C2×#446C2314yescomplemented
304C2×#442C2318yescomplemented
305C2×C4×SD16—48no—
306C2×C4×SD16C2314yes—
307C2×C4×SD16C2314yes—
308C2×C4×SD16C2314yes—
309C2×C4×SD16C2314yes—
310C22×#106C2312yes—
311C22×C4⋊C8C2312yes—
312C22×#103C2312yes—
313C22×#102C2312yes—
314C22×#102C2314yes—
315C22×#102C2312yes—
316C22×#102C2312yes—
317C22×#102C2314yes—
318C22×C22⋊C8C2312yes—
319C22×C22⋊C8C2311yescharacteristic
320C22×C22⋊C8C2311yescharacteristic
321C22×C4×C8C2312yes—
322#2856—21no—
323#2856—21no—
324#2856—21no—
325#2856—21no—
326#2856—21no—
327#2856—21no—
328#2856—21no—
329#2856—21no—
330#2856C2312yes—
331#2856C2312yes—
332#2856C2312yes—
333#2856C2312yes—
334#2856C2312yes—
335#2856C2312yes—
336#2856C2312yes—
337#2856C2312yes—
338#2850—22no—
339#2850—22no—
340#2850C2314yes—
341#2850C2314yes—
342#2847—24no—
343#2847—24no—
344#2847—24no—
345#2847—24no—
346#2808—22no—
347#2808—22no—
348#2804—22no—
349#2796—24no—
350#2796—24no—
351#2794—24no—
352#2751—24no—
353#2751—24no—
354#2724—22no—
355#2709—24no—
356#2639—22no—
357#2639—22no—
358#2639—22no—
359#2639—22no—
360#2597—24no—
361#2597—24no—
362#2595—24no—
363#2595—24no—
364#2593—24no—
365#2592—22no—
366#2592C2314yescomplemented
367#2591—24no—
368#2591—24no—
369#2582C2312yescomplemented
370#2580—22no—
371#2580C2314yescomplemented
372#2571C2312yescomplemented
373#2570—22no—
374#2570C2314yescomplemented
375#2561—24no—
376#2561—24no—
377#2548C2312yescomplemented
378#2548C2312yescomplemented
379#2544—22no—
380#2544C2314yescomplemented
381#2541—22no—
382#2541—22no—
383#2541C2314yes—
384#2541C2314yes—
385#2538—22no—
386#2538—22no—
387#2538C2314yes—
388#2538C2314yes—
389#2516—24no—
390#2516—24no—
391#2513—22no—
392#2513—22no—
393#2513C2314yescomplemented
394#2513C2314yescomplemented
395#2511—22no—
396#2511C2314yescomplemented
397#2504—22no—
398#2504C2314yes—
399#2503—22no—
400#2503C2314yes—
401#2484—24no—
402#2483—24no—
403#2482—24no—
404#2458—24no—
405#2458—24no—
406#2456—28no—
407#2456—28no—
408#2456—28no—
409#2456—28no—
410#2448—22no—
411#2448C2314yescomplemented
412#2447—22no—
413#2447C2314yescomplemented
414#2445—22no—
415#2445—24no—
416#2445—24no—
417#2445C2318yes—
418#2445C2318yes—
419#2445C2314yescomplemented
420#2444—24no—
421#2444—24no—
422#2444—24no—
423#2444—24no—
424#2443—24no—
425#2443—24no—
426#2443—24no—
427#2443—24no—
428#2436—22no—
429#2436C2314yes—
430#2435—22no—
431#2435C2314yes—
432#2433—24no—
433#2433—24no—
434#2433C2318yes—
435#2433C2318yes—
436#2424—28no—
437#2424—28no—
438#2424—28no—
439#2424—28no—
440#2414—24no—
441#2414—24no—
442#2414—24no—
443#2414—24no—
444#2407—24no—
445#2407—24no—
446#2407—24no—
447#2407—24no—
448#2405—24no—
449C2×#396—22no—
450C2×#394—22no—
451C2×#394—22no—
452C2×#392—22no—
453C2×#392—22no—
454C2×#392—22no—
455#2374—24no—
456#2367—22no—
457#2367C2314yescomplemented
458#2366—24no—
459#2366—24no—
460#2366C2318yes—
461#2366C2318yes—
462#2366C2312yescomplemented
463#2364—24no—
464#2364—24no—
465#2361—24no—
466#2361—24no—
467#2361—22no—
468#2361—22no—
469#2361C2318yes—
470#2361C2318yes—
471#2361C2314yes—
472#2361C2314yes—
473#2357—22no—
474#2357C2314yescomplemented
475#2355C2312yescomplemented
476#2355C2312yescomplemented
477#2354—22no—
478#2354—22no—
479#2354C2314yes—
480#2354C2314yes—
481#2344—22no—
482#2344C2314yes—
483#2342—24no—
484#2342—24no—
485D4×C22⋊C4—22no—
486D4×C22⋊C4C2314yes—
487#2325—22no—
488#2325—22no—
489#2325—22no—
490#2325—22no—
491#2308—22no—
492#2308—22no—
493#2308—22no—
494C4×C22⋊Q8—21no—
495C4×C22⋊Q8—21no—
496C4×C22⋊Q8—21no—
497C4×C22⋊Q8—21no—
498C4×C22⋊Q8D412yes—
499C4×C22⋊Q8D412yes—
500C4×C22⋊Q8D412yes—
501C4×C22⋊Q8D412yes—
502C4×C22⋊Q8C2312yes—
503C4×C22⋊Q8C2312yes—
504C4×C22⋊Q8C2312yes—
505C4×C22⋊Q8C2312yes—
506C4×C22⋊Q8C2312yes—
507C4×C22⋊Q8C2312yes—
508C4×C22⋊Q8C2312yes—
509C4×C22⋊Q8C2312yes—
510C4×#121—22no—
511C4×#121—22no—
512C4×#121C2314yes—
513C4×#121C2314yes—
514C2×#391D411yescharacteristic
515C2×#391C2311yescharacteristic
516C2×#390—21no—
517C2×#390—21no—
518C2×#390—21no—
519C2×#390—21no—
520C2×#390—22no—
521C2×#390C2312yes—
522C2×#390C2312yes—
523C2×#390C2312yes—
524C2×#390C2312yes—
525C2×#390C2312yes—
526C2×#389D411yescharacteristic
527C2×#389C2311yescharacteristic
528C2×#389C2312yes—
529C2×#388—22no—
530C2×#388—22no—
531C2×#387—21no—
532C2×#387D412yes—
533C2×#386—22no—
534C2×#386—22no—
535C2×#386—22no—
536C2×#386—22no—
537C2×#385—22no—
538C2×#385—21no—
539C2×#385D412yes—
540C2×#384C2311yescharacteristic
541C2×#384C2311yescharacteristic
542C2×#380—21no—
543C2×#380—21no—
544C2×#380D411yescharacteristic
545C2×#380C2311yescharacteristic
546C2×C4×C4⋊C4—21no—
547C2×C4×C4⋊C4C2311yescharacteristic
548C2×C4×C4⋊C4C2312yes—
549C2×C4×C4⋊C4C2312yes—
550C2×C4×C4⋊C4C2311yescharacteristic
551C2×C4×C22⋊C4—21no—
552C2×C4×C22⋊C4C2312yes—
553#2093C2318yescomplemented
554#2093C2318yescomplemented
555#2092C2318yes—
556#2092C2318yes—
557#2085C2318yescomplemented
558#2084C2314yescomplemented
559#2073C2318yescomplemented
560#2072C2314yescomplemented
561#2068C2318yescomplemented
562#2067C2318yes—
563#2067C2318yes—
564#2065C2318yescomplemented
565#2065C2318yescomplemented
566#2055C2318yescomplemented
567#2055C2318yescomplemented
568#2054C2318yes—
569#2054C2318yes—
570#2054C2318yescomplemented
571#2042C2318yescomplemented
572#2041C2318yes—
573#2041C2318yes—
574#2041C2314yescomplemented
575#2014C2318yes—
576#2014C2318yes—
577#2014C2314yescomplemented
578#2012C2318yes—
579#2012C2318yes—
580#2012C2318yescomplemented
581#2011C2318yes—
582#2011C2318yes—
583#2011C2318yes—
584#2011C2318yes—
585#2011C2318yescomplemented
586#2011C2318yescomplemented
587#1985C2318yescomplemented
588#1984C2314yescomplemented
589#1983C2318yescomplemented
590#1982C2318yes—
591#1982C2318yes—
592#1982C2314yescomplemented
593#1973C2318yes—
594#1973C2318yes—
595#1972C2318yes—
596#1972C2318yes—
597#1972C2318yescomplemented
598#1970C2318yescomplemented
599#1970C2318yescomplemented
600#1961C2318yes—
601#1961C2318yes—
602#1957C2314yescomplemented
603#1957C2314yescomplemented
604#1949C2318yescomplemented
605#1948C2314yescomplemented
606#1943C2318yescomplemented
607#1940C2318yescomplemented
608#1939C2314yescomplemented
609#1936C2318yescomplemented
610#1936C2318yescomplemented
611#1928C2318yescomplemented
612#1926C2318yescomplemented
613#1926C2318yescomplemented
614#1926C2318yescomplemented
615#1926C2318yescomplemented
616#1925C2318yes—
617#1925C2318yes—
618#1921C2318yescomplemented
619#1921C2318yescomplemented
620#1917C2318yescomplemented
621#1917C2318yescomplemented
622#1916C2318yescomplemented
623#1893C2318yes—
624#1880C2318yescomplemented
625#1879C2318yes—
626#1879C2318yes—
627#1879C2318yes—
628#1879C2318yes—
629#1879C2318yes—
630#1879C2318yes—
631#1879C2318yescomplemented
632#1879C2318yescomplemented
633#1879C2318yescomplemented
634#1877C2314yes—
635#1877C2314yes—
636#1877C2314yes—
637#1877C2314yes—
638#1877C2318yescomplemented
639#1874C2318yes—
640#1874C2314yes—
641#1874C2314yes—
642#1874C2314yes—
643#1874C2314yes—
644#1872C2314yes—
645#1872C2312yes—
646#1872C2312yes—
647#1864C2314yes—
648#1864C2314yes—
649#1864C2314yes—
650#1864C2314yes—
651#1864C2318yescomplemented
652#1864C2318yescomplemented
653#1853C2312yes—
654#1853C2312yes—
655#1853C2314yes—
656#1850C2318yes—
657#1850C2318yes—
658#1845C2314yescomplemented
659#1823C2314yes—
660#1804C2318yescomplemented
661#1803C2314yescomplemented
662#1802C2314yes—
663#1802C2314yes—
664#1802C2314yes—
665#1802C2314yes—
666#1797C2312yes—
667#1797C2314yes—
668#1797C2314yes—
669#1797C2312yes—
670#1797C2312yes—
671#1797C2312yes—
672#1786C2314yes—
673#1786C2314yes—
674#1786C2312yes—
675#1786C2312yes—
676#1776C2318yescomplemented
677#1771C2318yescomplemented
678#1770C2314yescomplemented
679#1762C2318yescomplemented
680#1762C2318yescomplemented
681C4×#102C2314yes—
682C4×#102C2314yes—
683C4×#102C2314yes—
684C4×#102C2314yes—
685#1752C2318yes—
686#1752C2318yes—
687#1749C2314yes—
688#1749C2314yes—
689C4×C22⋊C8C2312yes—
690C4×C22⋊C8C2312yes—
691C4×C22⋊C8C2312yes—
692C4×C22⋊C8C2312yes—
693C2×#340C2312yes—
694C2×#340C2314yes—
695C2×#340C2312yes—
696C2×#336C2312yes—
697C2×#336C2312yes—
698C26—21no—
699C22×#41—24no—
700C22×#41—24no—
701C22×#41—48no—
702C22×#41—48no—
703C22×#41—84no—
704C23×Q8C2×D411yescharacteristic
705C23×Q8C2411yescharacteristic
706C23×D4—22no—
707C23×D4—22no—
708C23×D4—21no—
709C23×D4—21no—
710C23×D4—21no—
711C23×D4—21no—
712C23×D4—22no—
713C23×D4—22no—
714C23×D4—21no—
715C23×D4—22no—
716C23×D4—21no—
717C23×D4—22no—
718C23×D4—21no—
719C23×D4—24no—
720C23×D4—24no—
721C23×D4—44no—
722C23×D4—44no—
723C23×D4C2412yes—
724C23×D4C2412yes—
725C23×D4C2411yescharacteristic
726C23×D4C2411yescharacteristic
727C23×D4C2412yes—
728C23×D4C2412yes—
729C24×C4—21no—
730C24×C4—21no—
731C24×C4—21no—
732C24×C4—22no—
733C24×C4—22no—
734C24×C4—22no—
735C24×C4—22no—
736C24×C4—21no—
737C24×C4—21no—
738C24×C4—22no—
739C24×C4—48no—
740C24×C4—48no—
741C24×C4—84no—
742C24×C4C2×D411yescharacteristic
743C24×C4C2×D411yescharacteristic
744C24×C4C2411yescharacteristic
745C22×SD16—28no—
746C22×SD16—44no—
747C22×SD16—44no—
748C22×SD16C2414yes—
749C22×SD16C2414yes—
750C22×SD16C2418yes—
751C22×D8—48no—
752C22×D8—48no—
753C22×D8—48no—
754C22×D8C2418yes—
755C22×D8C2418yes—
756C22×D8C2418yes—
757C22×D8C2418yes—
758C23×C8C2412yes—
759C23×C8C2414yes—
760C23×C8C2412yes—
761#559—48no—
762#550—216no—
763#550—48no—
764#550—48no—
765#550—48no—
766#550—416no—
767#550—416no—
768C2×#127—21no—
769C2×#127—21no—
770C2×#127—24no—
771C2×#127—24no—
772C2×#127—21no—
773C2×#127—21no—
774C2×#127—44no—
775C2×#127—44no—
776C2×#127—48no—
777C2×#127—48no—
778C2×#127C2412yes—
779C2×#127C2412yes—
780C2×#127C2418yes—
781C2×#127C2418yes—
782C2×#127C2412yes—
783C2×#127C2412yes—
784C2×#124—22no—
785C2×#124—22no—
786C2×#124C2414yes—
787C2×#124C2414yes—
788#525—432no—
789#525—432no—
790#525—432no—
791#525—432no—
792C2×#123—28no—
793C2×#123—28no—
794C2×#123—24no—
795C2×#123—24no—
796C2×#123—416no—
797C2×C22⋊Q8—28no—
798C2×C22⋊Q8—24no—
799C2×C22⋊Q8—24no—
800C2×C22⋊Q8—21no—
801C2×C22⋊Q8—21no—
802C2×C22⋊Q8—24no—
803C2×C22⋊Q8—24no—
804C2×C22⋊Q8—48no—
805C2×C22⋊Q8C2×D412yes—
806C2×C22⋊Q8C2×D412yes—
807C2×C22⋊Q8C2×D412yes—
808C2×C22⋊Q8C2×D412yes—
809C2×C22⋊Q8C2412yes—
810C2×C22⋊Q8C2412yes—
811C2×#121—22no—
812C2×#121—22no—
813C2×#121—22no—
814C2×#121—22no—
815C2×#121—22no—
816C2×#121—22no—
817C2×#121—22no—
818C2×#121—22no—
819C2×#121—22no—
820C2×#121—22no—
821C2×#121—22no—
822C2×#121—22no—
823C2×#121—22no—
824C2×#121—22no—
825C2×#121—22no—
826C2×#121—22no—
827C2×#121—22no—
828C2×#121—22no—
829C2×#121—22no—
830C2×#121—22no—
831C2×#121—24no—
832C2×#121—24no—
833C2×#121—24no—
834C2×#121—24no—
835C2×#121—28no—
836C2×#121—28no—
837C2×#121—24no—
838C2×#121—24no—
839C2×#121—28no—
840C2×#121—28no—
841C2×#121—28no—
842C2×#121—28no—
843C2×#121—416no—
844C2×#121—48no—
845C2×#121—48no—
846C2×#121—48no—
847C2×#121—48no—
848C2×#121—84no—
849C2×#121—84no—
850C2×#121—84no—
851C2×#121C2414yes—
852C2×#121C2414yes—
853C2×#121C2414yes—
854C2×#121C2414yes—
855C2×#120—28no—
856C2×#120—28no—
857C2×#120—28no—
858C2×#120—28no—
859C2×#120—416no—
860C2×#120—88no—
861#518—88no—
862C2×C4×Q8—21no—
863C2×C4×Q8—21no—
864C2×C4×Q8—44no—
865C2×C4×Q8—44no—
866C2×C4×Q8C2×D412yes—
867C2×C4×Q8C2×D412yes—
868C2×C4×Q8C2412yes—
869C2×C4×Q8C2412yes—
870C2×C4×Q8C2412yes—
871C2×C4×Q8C2412yes—
872C2×C4×D4—28no—
873C2×C4×D4—24no—
874C2×C4×D4—24no—
875C2×C4×D4—28no—
876C2×C4×D4—28no—
877C2×C4×D4—22no—
878C2×C4×D4—22no—
879C2×C4×D4—28no—
880C2×C4×D4—28no—
881C2×C4×D4—24no—
882C2×C4×D4—24no—
883C2×C4×D4—28no—
884C2×C4×D4—28no—
885C2×C4×D4—21no—
886C2×C4×D4—21no—
887C2×C4×D4—24no—
888C2×C4×D4—21no—
889C2×C4×D4—21no—
890C2×C4×D4—22no—
891C2×C4×D4—22no—
892C2×C4×D4—22no—
893C2×C4×D4—22no—
894C2×C4×D4—21no—
895C2×C4×D4—21no—
896C2×C4×D4—22no—
897C2×C4×D4—22no—
898C2×C4×D4—22no—
899C2×C4×D4—22no—
900C2×C4×D4—21no—
901C2×C4×D4—21no—
902C2×C4×D4—44no—
903C2×C4×D4—44no—
904C2×C4×D4—44no—
905C2×C4×D4—48no—
906C2×C4×D4—416no—
907C2×C4×D4—44no—
908C2×C4×D4—44no—
909C2×C4×D4—44no—
910C2×C4×D4—48no—
911C2×C4×D4—416no—
912C2×C4×D4—44no—
913C2×C4×D4—44no—
914C2×C4×D4—44no—
915C2×C4×D4—48no—
916C2×C4×D4—48no—
917C2×C4×D4—48no—
918C2×C4×D4—48no—
919C2×C4×D4—48no—
920C2×C4×D4C2412yes—
921C2×C4×D4C2412yes—
922C2×C4×D4C2412yes—
923C2×C4×D4C2412yes—
924C2×C4×D4C2418yes—
925C2×C4×D4C2412yes—
926C2×C4×D4C2412yes—
927C2×C4×D4C2412yes—
928C2×C4×D4C2414yes—
929C2×C4×D4C2414yes—
930C2×C4×D4C2412yes—
931C2×#117—24no—
932C2×#117—24no—
933C2×#117—24no—
934C2×#117—48no—
935C22×C4⋊C4—21no—
936C22×C4⋊C4—21no—
937C22×C4⋊C4—21no—
938C22×C4⋊C4—21no—
939C22×C4⋊C4—22no—
940C22×C4⋊C4—21no—
941C22×C4⋊C4—21no—
942C22×C4⋊C4—21no—
943C22×C4⋊C4—21no—
944C22×C4⋊C4—21no—
945C22×C4⋊C4—21no—
946C22×C4⋊C4—44no—
947C22×C4⋊C4C2×D412yes—
948C22×C4⋊C4C2×D411yescharacteristic
949C22×C4⋊C4C2×D411yescharacteristic
950C22×C4⋊C4C2×D411yescharacteristic
951C22×C4⋊C4C2×D412yes—
952C22×C4⋊C4C2×D412yes—
953C22×C4⋊C4C2412yes—
954C22×C4⋊C4C2412yes—
955C22×C4⋊C4C2411yescharacteristic
956C22×C4⋊C4C2411yescharacteristic
957C22×C4⋊C4C2412yes—
958C22×C4⋊C4C2412yes—
959C22×C4⋊C4C2411yescharacteristic
960C22×C4⋊C4C2411yescharacteristic
961C22×C4⋊C4C2411yescharacteristic
962C22×C22⋊C4—21no—
963C22×C22⋊C4—21no—
964C22×C22⋊C4—21no—
965C22×C22⋊C4—22no—
966C22×C22⋊C4—22no—
967C22×C22⋊C4—21no—
968C22×C22⋊C4—22no—
969C22×C22⋊C4—22no—
970C22×C22⋊C4—22no—
971C22×C22⋊C4—22no—
972C22×C22⋊C4—21no—
973C22×C22⋊C4—22no—
974C22×C22⋊C4—22no—
975C22×C22⋊C4—22no—
976C22×C22⋊C4—22no—
977C22×C22⋊C4—21no—
978C22×C22⋊C4—22no—
979C22×C22⋊C4—22no—
980C22×C22⋊C4—22no—
981C22×C22⋊C4—22no—
982C22×C22⋊C4—22no—
983C22×C22⋊C4—22no—
984C22×C22⋊C4—22no—
985C22×C22⋊C4—24no—
986C22×C22⋊C4—48no—
987C22×C22⋊C4C2×D412yes—
988C22×C22⋊C4C2×D412yes—
989C22×C42—22no—
990C22×C42—21no—
991C22×C42—21no—
992C22×C42—44no—
993C22×C42C2×D411yescharacteristic
994C22×C42C2×D411yescharacteristic
995C22×C42C2×D411yescharacteristic
996C22×C42C2×D411yescharacteristic
997C22×C42C2×D411yescharacteristic
998C22×C42C2×D411yescharacteristic
999C22×C42C2411yescharacteristic
1000C22×C42C2411yescharacteristic
1001C22×C42C2411yescharacteristic
1002C22×C42C2412yes—
1003C22×C42C2412yes—
1004C22×C42C2411yescharacteristic
1005C22×C42C2411yescharacteristic
1006C22×C42C2411yescharacteristic
1007#496—416no—
1008#496—416no—
1009#493—48no—
1010#483—48no—
1011#481—48no—
1012#480—216no—
1013#480—216no—
1014#480—48no—
1015#480—48no—
1016#466—232no—
1017#466—416no—
1018#465—416no—
1019#463—416no—
1020#460—48no—
1021#459—216no—
1022#459—48no—
1023#459—416no—
1024#459—416no—
1025#459—48no—
1026#459—48no—
1027#450—28no—
1028#450—28no—
1029#450—216no—
1030#450—48no—
1031#448—48no—
1032#447—216no—
1033#447—216no—
1034#447—48no—
1035#447—48no—
1036#447—416no—
1037#447—48no—
1038#447—48no—
1039#446—48no—
1040#442—416no—
1041C4×SD16—216no—
1042C4×SD16—48no—
1043C4×SD16—48no—
1044C4×SD16—48no—
1045C2×#107C2418yes—
1046C2×#107C2418yes—
1047C2×#106—44no—
1048C2×#106C2414yes—
1049C2×#106C2418yes—
1050C2×#106C2414yes—
1051C2×C4⋊C8—44no—
1052C2×C4⋊C8C2414yes—
1053C2×C4⋊C8C2414yes—
1054C2×C4⋊C8C2418yes—
1055C2×C4⋊C8C2418yes—
1056C2×#103—44no—
1057C2×#103C2414yes—
1058C2×#103C2414yes—
1059C2×#103C2418yes—
1060C2×#102—28no—
1061C2×#102—48no—
1062C2×#102—44no—
1063C2×#102—44no—
1064C2×#102—48no—
1065C2×#102C2414yes—
1066C2×#102C2414yes—
1067C2×#102C2418yes—
1068C2×#102C2418yes—
1069C2×#102C2414yes—
1070C2×#102C2414yes—
1071C2×#102C2418yes—
1072C2×#102C2418yes—
1073C2×#102C2418yes—
1074C2×#102C2418yes—
1075C2×#102C2418yes—
1076C2×#102C2418yes—
1077C2×#102C2418yes—
1078C2×#102C2418yes—
1079C2×#102C2418yes—
1080C2×#102C2414yes—
1081C2×#102C2414yes—
1082C2×C22⋊C8—24no—
1083C2×C22⋊C8—28no—
1084C2×C22⋊C8#4118yescomplemented
1085C2×C22⋊C8C2412yes—
1086C2×C22⋊C8C2414yes—
1087C2×C22⋊C8C2414yes—
1088C2×C22⋊C8C2412yes—
1089C2×C22⋊C8C2412yes—
1090C2×C22⋊C8C2412yes—
1091C2×#97C2418yes—
1092C2×#97C2418yes—
1093C2×C4×C8—44no—
1094C2×C4×C8C2414yes—
1095C2×C4×C8C2414yes—
1096#400—24no—
1097#400—24no—
1098#400—24no—
1099#400—24no—
1100#400—24no—
1101#400—24no—
1102#399—24no—
1103#399—24no—
1104#398—24no—
1105#398—24no—
1106#397—24no—
1107#397—24no—
1108#397—24no—
1109#397—24no—
1110#397—24no—
1111#397—24no—
1112#397—24no—
1113#397—24no—
1114#397—24no—
1115#397—24no—
1116#396—28no—
1117#396—28no—
1118#394—24no—
1119#394—24no—
1120#394—24no—
1121#394—24no—
1122#394—28no—
1123#394—28no—
1124#394—24no—
1125#394—24no—
1126#394—24no—
1127#394—24no—
1128#394—28no—
1129#394—28no—
1130#393—24no—
1131#393—24no—
1132#393—24no—
1133#393—24no—
1134#392—28no—
1135#392—28no—
1136#392—28no—
1137#392—28no—
1138#392—28no—
1139#392—28no—
1140#391—22no—
1141#391—22no—
1142#391—21no—
1143#391—21no—
1144#391C2×D412yes—
1145#391C2×D412yes—
1146#391C2×D412yes—
1147#391C2×D412yes—
1148#391C2412yes—
1149#391C2414yes—
1150#391C2414yes—
1151#391C2412yes—
1152#390—22no—
1153#390—22no—
1154#390—22no—
1155#390—22no—
1156#390—28no—
1157#390—28no—
1158#390—22no—
1159#390—22no—
1160#390—22no—
1161#390—22no—
1162#390—22no—
1163#390—22no—
1164#390—22no—
1165#390—22no—
1166#390—22no—
1167#390—22no—
1168#390—22no—
1169#390—22no—
1170#390—22no—
1171#390—22no—
1172#390—22no—
1173#390—22no—
1174#390—22no—
1175#390—22no—
1176#390—22no—
1177#390—22no—
1178#390—24no—
1179#390—24no—
1180#390—24no—
1181#390C2414yes—
1182#390C2414yes—
1183#390C2418yes—
1184#390C2418yes—
1185#390C2414yes—
1186#390C2418yes—
1187#390C2414yes—
1188#390C2414yes—
1189#390C2414yes—
1190#390C2414yes—
1191#390C2414yes—
1192#389—22no—
1193#389—22no—
1194#389—24no—
1195#389—21no—
1196#389—21no—
1197#389C2×D412yes—
1198#389C2×D412yes—
1199#389C2×D412yes—
1200#389C2×D412yes—
1201#389C2412yes—
1202#389C2414yes—
1203#389C2414yes—
1204#389C2418yes—
1205#389C2412yes—
1206#388—24no—
1207#388—24no—
1208#388—24no—
1209#388—24no—
1210#388—24no—
1211#388—24no—
1212#388—24no—
1213#388—24no—
1214#388—24no—
1215#388—24no—
1216#388—24no—
1217#388—24no—
1218#388—24no—
1219#388—24no—
1220#388—24no—
1221#388—24no—
1222#388—24no—
1223#388—24no—
1224#388—24no—
1225#388—24no—
1226#388—28no—
1227#388—28no—
1228#388—28no—
1229#388—28no—
1230#387—24no—
1231#387—24no—
1232#387—22no—
1233#387—22no—
1234#387—22no—
1235#387—22no—
1236#387—24no—
1237#387—24no—
1238#387—24no—
1239#387—24no—
1240#387—24no—
1241#387—24no—
1242#387C2×D414yes—
1243#387C2×D414yes—
1244#387C2×D414yes—
1245#387C2×D414yes—
1246#386—24no—
1247#386—24no—
1248#386—24no—
1249#386—24no—
1250#386—24no—
1251#386—24no—
1252#386—24no—
1253#386—24no—
1254#386—24no—
1255#386—24no—
1256#386—24no—
1257#386—24no—
1258#386—28no—
1259#386—28no—
1260#386—24no—
1261#386—24no—
1262#386—24no—
1263#386—24no—
1264#386—28no—
1265#386—28no—
1266#386—28no—
1267#386—28no—
1268#386—24no—
1269#386—28no—
1270#386—28no—
1271#386—24no—
1272#385—22no—
1273#385—22no—
1274#385—22no—
1275#385—22no—
1276#385—24no—
1277#385—24no—
1278#385—24no—
1279#385—24no—
1280#385—24no—
1281#385—24no—
1282#385—28no—
1283#385—28no—
1284#385C2×D414yes—
1285#385C2×D414yes—
1286#385C2×D414yes—
1287#385C2×D414yes—
1288#384—21no—
1289#384—21no—
1290#384—21no—
1291#384—21no—
1292#384C2412yes—
1293#384C2412yes—
1294#384C2412yes—
1295#384C2412yes—
1296#382—22no—
1297#382—22no—
1298#382C2414yes—
1299#382C2414yes—
1300#381—24no—
1301#381—24no—
1302#381—24no—
1303#381—24no—
1304#381—24no—
1305#380—21no—
1306#380—21no—
1307#380—24no—
1308#380—24no—
1309#380—24no—
1310#380—24no—
1311#380C2×D412yes—
1312#380C2×D412yes—
1313#380C2×D412yes—
1314#380C2×D412yes—
1315#380C2412yes—
1316#380C2412yes—
1317#379—24no—
1318#379—24no—
1319#379—24no—
1320C4×C4⋊C4—22no—
1321C4×C4⋊C4—22no—
1322C4×C4⋊C4—22no—
1323C4×C4⋊C4—22no—
1324C4×C4⋊C4—22no—
1325C4×C4⋊C4—21no—
1326C4×C4⋊C4—24no—
1327C4×C4⋊C4—22no—
1328C4×C4⋊C4—21no—
1329C4×C4⋊C4C2×D414yes—
1330C4×C4⋊C4C2×D414yes—
1331C4×C4⋊C4C2×D412yes—
1332C4×C4⋊C4C2×D412yes—
1333C4×C4⋊C4C2414yes—
1334C4×C4⋊C4C2412yes—
1335C4×C4⋊C4C2414yes—
1336C4×C4⋊C4C2418yes—
1337C4×C4⋊C4C2412yes—
1338C4×C4⋊C4C2414yes—
1339C4×C4⋊C4C2412yes—
1340C4×C4⋊C4C2412yes—
1341C4×C4⋊C4C2414yes—
1342C4×C22⋊C4—22no—
1343C4×C22⋊C4—22no—
1344C4×C22⋊C4—22no—
1345C4×C22⋊C4—22no—
1346C4×C22⋊C4—24no—
1347C4×C22⋊C4—24no—
1348C4×C22⋊C4—24no—
1349C4×C22⋊C4—24no—
1350C4×C22⋊C4C2×D414yes—
1351C4×C22⋊C4C2×D414yes—
1352C4×C22⋊C4C2414yes—
1353C4×C22⋊C4C2414yes—
1354C2×#95—21no—
1355C2×#95—21no—
1356C2×#95—21no—
1357C2×#95—22no—
1358C2×#95—21no—
1359C2×#95—21no—
1360C2×#95—22no—
1361C2×#95C2×D412yes—
1362C2×#95C2×D412yes—
1363C2×#95C2×D412yes—
1364C2×#95C2×D412yes—
1365C2×#95C2×D412yes—
1366#340C2418yes—
1367#340C2418yes—
1368#340C2414yes—
1369#340C2418yes—
1370#340C2418yes—
1371#340C2414yes—
1372#340C2414yes—
1373#340C2414yes—
1374#336C2414yes—
1375#336C2414yes—
1376#336C2418yes—
1377#336C2418yes—
1378#336C2418yes—
1379#336C2418yes—
1380#336C2414yes—
1381#336C2414yes—
1382C25—21no—
1383C25—21no—
1384C25—22no—
1385C25—22no—
1386C25—22no—
1387C25—22no—
1388C25—44no—
1389C25—44no—
1390C25—44no—
1391C25—44no—
1392C25—44no—
1393C25—82no—
1394C25—82no—
1395C25C22×D411yescharacteristic
1396C2×#41—416no—
1397C2×#41—416no—
1398C2×#41—416no—
1399C2×#41—416no—
1400C2×#41—88no—
1401C2×#41—88no—
1402C2×#41—864no—
1403C22×Q8—24no—
1404C22×Q8—21no—
1405C22×Q8—22no—
1406C22×Q8—22no—
1407C22×Q8—42no—
1408C22×Q8—42no—
1409C22×Q8—42no—
1410C22×Q8—42no—
1411C22×Q8C22×D412yes—
1412C22×Q8C22×D412yes—
1413C22×Q8C2512yes—
1414C22×D4—24no—
1415C22×D4—24no—
1416C22×D4—24no—
1417C22×D4—24no—
1418C22×D4—24no—
1419C22×D4—24no—
1420C22×D4—24no—
1421C22×D4—24no—
1422C22×D4—24no—
1423C22×D4—24no—
1424C22×D4—21no—
1425C22×D4—21no—
1426C22×D4—22no—
1427C22×D4—22no—
1428C22×D4—22no—
1429C22×D4—22no—
1430C22×D4—22no—
1431C22×D4—22no—
1432C22×D4—28no—
1433C22×D4—28no—
1434C22×D4—28no—
1435C22×D4—28no—
1436C22×D4—22no—
1437C22×D4—22no—
1438C22×D4—22no—
1439C22×D4—22no—
1440C22×D4—22no—
1441C22×D4—22no—
1442C22×D4—24no—
1443C22×D4—22no—
1444C22×D4—22no—
1445C22×D4—24no—
1446C22×D4—24no—
1447C22×D4—24no—
1448C22×D4—24no—
1449C22×D4—22no—
1450C22×D4—22no—
1451C22×D4—24no—
1452C22×D4—24no—
1453C22×D4—24no—
1454C22×D4—42no—
1455C22×D4—42no—
1456C22×D4—42no—
1457C22×D4—42no—
1458C22×D4—42no—
1459C22×D4—42no—
1460C22×D4—44no—
1461C22×D4—44no—
1462C22×D4—44no—
1463C22×D4—44no—
1464C22×D4—48no—
1465C22×D4—48no—
1466C22×D4—44no—
1467C22×D4—44no—
1468C22×D4—44no—
1469C22×D4—44no—
1470C22×D4—44no—
1471C22×D4—432no—
1472C22×D4—432no—
1473C22×D4—44no—
1474C22×D4—44no—
1475C22×D4—44no—
1476C22×D4—44no—
1477C22×D4—48no—
1478C22×D4—48no—
1479C22×D4—48no—
1480C22×D4—48no—
1481C22×D4—48no—
1482C22×D4—48no—
1483C22×D4—48no—
1484C22×D4—48no—
1485C22×D4—48no—
1486C22×D4—48no—
1487C22×D4—44no—
1488C22×D4—44no—
1489C22×D4—44no—
1490C22×D4—44no—
1491C22×D4—44no—
1492C22×D4—82no—
1493C22×D4—82no—
1494C22×D4—82no—
1495C22×D4—84no—
1496C22×D4—84no—
1497C22×D4—82no—
1498C22×D4—82no—
1499C22×D4—82no—
1500C22×D4—84no—
1501C22×D4—84no—
1502C22×D4—84no—
1503C22×D4—82no—
1504C22×D4—84no—
1505C22×D4C2514yes—
1506C22×D4C2514yes—
1507C22×D4C2512yes—
1508C22×D4C2512yes—
1509C23×C4—28no—
1510C23×C4—21no—
1511C23×C4—24no—
1512C23×C4—22no—
1513C23×C4—22no—
1514C23×C4—22no—
1515C23×C4—21no—
1516C23×C4—22no—
1517C23×C4—22no—
1518C23×C4—22no—
1519C23×C4—21no—
1520C23×C4—21no—
1521C23×C4—21no—
1522C23×C4—21no—
1523C23×C4—22no—
1524C23×C4—22no—
1525C23×C4—22no—
1526C23×C4—22no—
1527C23×C4—28no—
1528C23×C4—22no—
1529C23×C4—22no—
1530C23×C4—24no—
1531C23×C4—24no—
1532C23×C4—42no—
1533C23×C4—42no—
1534C23×C4—42no—
1535C23×C4—42no—
1536C23×C4—42no—
1537C23×C4—48no—
1538C23×C4—48no—
1539C23×C4—44no—
1540C23×C4—44no—
1541C23×C4—44no—
1542C23×C4—44no—
1543C23×C4—48no—
1544C23×C4—48no—
1545C23×C4—48no—
1546C23×C4—48no—
1547C23×C4—44no—
1548C23×C4—44no—
1549C23×C4—44no—
1550C23×C4—44no—
1551C23×C4—44no—
1552C23×C4—44no—
1553C23×C4—44no—
1554C23×C4—48no—
1555C23×C4—48no—
1556C23×C4—48no—
1557C23×C4—48no—
1558C23×C4—84no—
1559C23×C4—84no—
1560C23×C4—81no—
1561C23×C4—84no—
1562C23×C4—84no—
1563C23×C4—82no—
1564C23×C4—82no—
1565C23×C4—82no—
1566C23×C4—84no—
1567C23×C4—864no—
1568C23×C4AGL(1,ℤ/8)18yes—
1569C23×C4C22×D411yescharacteristic
1570C23×C4C22×D411yescharacteristic
1571C23×C4C22×D411yescharacteristic
1572C23×C4C22×D411yescharacteristic
1573C23×C4C22×D411yescharacteristic
1574C23×C4C22×D411yescharacteristic
1575C23×C4C22×D411yescharacteristic
1576C23×C4C22×D411yescharacteristic
1577C23×C4C22×D412yes—
1578C23×C4C22×D412yes—
1579C23×C4C22×D412yes—
1580C23×C4C22×D411yescharacteristic
1581C23×C4C22×D412yes—
1582C23×C4C22×D411yescharacteristic
1583C23×C4C22×D411yescharacteristic
1584C23×C4C22×D411yescharacteristic
1585C23×C4C22×D411yescharacteristic
1586C23×C4C22×D411yescharacteristic
1587C23×C4C22×D411yescharacteristic
1588C23×C4C2×#4114yes—
1589C23×C4H(5,𝔽2)14yes—
1590C23×C4C2511yescharacteristic
1591C23×C4C2511yescharacteristic
1592C23×C4C2511yescharacteristic
1593C2×SD16—28no—
1594C2×SD16—28no—
1595C2×SD16—28no—
1596C2×SD16—28no—
1597C2×SD16—44no—
1598C2×SD16—44no—
1599C2×SD16—48no—
1600C2×SD16—48no—
1601C2×SD16—48no—
1602C2×SD16—432no—
1603C2×D8—216no—
1604C2×D8—216no—
1605C2×D8—216no—
1606C2×D8—48no—
1607C2×D8—48no—
1608C2×D8—48no—
1609C2×D8—48no—
1610C2×D8—48no—
1611C2×D8—48no—
1612C2×D8—48no—
1613C2×D8—48no—
1614C2×D8—48no—
1615C2×D8—832no—
1616C22×C8—28no—
1617C22×C8—24no—
1618C22×C8—42no—
1619C22×C8—42no—
1620C22×C8—44no—
1621C22×C8—44no—
1622C22×C8—42no—
1623C22×C8—42no—
1624C22×C8C2×#4118yescomplemented
1625C22×C8C2518yes—
1626C22×C8C2514yes—
1627C22×C8C2514yes—
1628#127—216no—
1629#127—216no—
1630#127—28no—
1631#127—28no—
1632#127—48no—
1633#127—48no—
1634#127—44no—
1635#127—44no—
1636#127—44no—
1637#127—44no—
1638#127—416no—
1639#127—416no—
1640#127—82no—
1641#127—82no—
1642#124—48no—
1643#124—48no—
1644#124—84no—
1645#124—84no—
1646#123—432no—
1647#123—432no—
1648#123—88no—
1649#123—88no—
1650C22⋊Q8—28no—
1651C22⋊Q8—28no—
1652C22⋊Q8—28no—
1653C22⋊Q8—28no—
1654C22⋊Q8—24no—
1655C22⋊Q8—24no—
1656C22⋊Q8—24no—
1657C22⋊Q8—24no—
1658C22⋊Q8—416no—
1659C22⋊Q8—416no—
1660C22⋊Q8—44no—
1661C22⋊Q8—44no—
1662#121—28no—
1663#121—28no—
1664#121—28no—
1665#121—28no—
1666#121—28no—
1667#121—28no—
1668#121—28no—
1669#121—28no—
1670#121—432no—
1671#121—432no—
1672#121—416no—
1673#121—416no—
1674#121—416no—
1675#121—416no—
1676#121—48no—
1677#121—48no—
1678#121—48no—
1679#121—48no—
1680#121—48no—
1681#121—48no—
1682#121—48no—
1683#121—48no—
1684#121—48no—
1685#121—48no—
1686#121—48no—
1687#121—48no—
1688#121—88no—
1689#121—88no—
1690#121—84no—
1691#121—84no—
1692#121—84no—
1693#121—84no—
1694#121—84no—
1695#121—84no—
1696#121—84no—
1697#121—84no—
1698#120—432no—
1699#120—432no—
1700#120—816no—
1701#120—816no—
1702C4×Q8—28no—
1703C4×Q8—28no—
1704C4×Q8—44no—
1705C4×Q8—44no—
1706C4×Q8—44no—
1707C4×Q8—44no—
1708C4×Q8—82no—
1709C4×Q8—82no—
1710C4×D4—28no—
1711C4×D4—28no—
1712C4×D4—24no—
1713C4×D4—24no—
1714C4×D4—24no—
1715C4×D4—24no—
1716C4×D4—24no—
1717C4×D4—24no—
1718C4×D4—216no—
1719C4×D4—24no—
1720C4×D4—24no—
1721C4×D4—24no—
1722C4×D4—48no—
1723C4×D4—48no—
1724C4×D4—42no—
1725C4×D4—42no—
1726C4×D4—42no—
1727C4×D4—42no—
1728C4×D4—42no—
1729C4×D4—42no—
1730C4×D4—48no—
1731C4×D4—48no—
1732C4×D4—48no—
1733C4×D4—44no—
1734C4×D4—44no—
1735C4×D4—48no—
1736C4×D4—48no—
1737C4×D4—48no—
1738C4×D4—48no—
1739C4×D4—432no—
1740C4×D4—432no—
1741C4×D4—44no—
1742C4×D4—44no—
1743C4×D4—432no—
1744C4×D4—432no—
1745C4×D4—416no—
1746C4×D4—48no—
1747C4×D4—48no—
1748C4×D4—44no—
1749C4×D4—44no—
1750C4×D4—84no—
1751C4×D4—84no—
1752C4×D4—88no—
1753C4×D4—88no—
1754C4×D4—88no—
1755C4×D4—88no—
1756C4×D4H(5,𝔽2)18yes—
1757#117—416no—
1758#117—416no—
1759#117—88no—
1760C2×C4⋊C4—24no—
1761C2×C4⋊C4—28no—
1762C2×C4⋊C4—21no—
1763C2×C4⋊C4—24no—
1764C2×C4⋊C4—24no—
1765C2×C4⋊C4—24no—
1766C2×C4⋊C4—22no—
1767C2×C4⋊C4—24no—
1768C2×C4⋊C4—24no—
1769C2×C4⋊C4—22no—
1770C2×C4⋊C4—24no—
1771C2×C4⋊C4—24no—
1772C2×C4⋊C4—22no—
1773C2×C4⋊C4—22no—
1774C2×C4⋊C4—21no—
1775C2×C4⋊C4—22no—
1776C2×C4⋊C4—22no—
1777C2×C4⋊C4—28no—
1778C2×C4⋊C4—22no—
1779C2×C4⋊C4—22no—
1780C2×C4⋊C4—22no—
1781C2×C4⋊C4—22no—
1782C2×C4⋊C4—22no—
1783C2×C4⋊C4—22no—
1784C2×C4⋊C4—22no—
1785C2×C4⋊C4—22no—
1786C2×C4⋊C4—21no—
1787C2×C4⋊C4—22no—
1788C2×C4⋊C4—22no—
1789C2×C4⋊C4—22no—
1790C2×C4⋊C4—22no—
1791C2×C4⋊C4—22no—
1792C2×C4⋊C4—22no—
1793C2×C4⋊C4—21no—
1794C2×C4⋊C4—21no—
1795C2×C4⋊C4—24no—
1796C2×C4⋊C4—24no—
1797C2×C4⋊C4—42no—
1798C2×C4⋊C4—42no—
1799C2×C4⋊C4—42no—
1800C2×C4⋊C4—42no—
1801C2×C4⋊C4—44no—
1802C2×C4⋊C4—42no—
1803C2×C4⋊C4—42no—
1804C2×C4⋊C4—42no—
1805C2×C4⋊C4—44no—
1806C2×C4⋊C4—44no—
1807C2×C4⋊C4—44no—
1808C2×C4⋊C4—48no—
1809C2×C4⋊C4—44no—
1810C2×C4⋊C4—44no—
1811C2×C4⋊C4—44no—
1812C2×C4⋊C4—82no—
1813C2×C4⋊C4—82no—
1814C2×C4⋊C4—82no—
1815C2×C4⋊C4—82no—
1816C2×C4⋊C4—82no—
1817C2×C4⋊C4C22×D412yes—
1818C2×C4⋊C4C22×D412yes—
1819C2×C4⋊C4C22×D414yes—
1820C2×C4⋊C4C22×D414yes—
1821C2×C4⋊C4C22×D412yes—
1822C2×C4⋊C4C22×D412yes—
1823C2×C4⋊C4C22×D414yes—
1824C2×C4⋊C4C22×D412yes—
1825C2×C4⋊C4C22×D414yes—
1826C2×C4⋊C4C22×D412yes—
1827C2×C4⋊C4C22×D414yes—
1828C2×C4⋊C4C22×D414yes—
1829C2×C4⋊C4C2512yes—
1830C2×C4⋊C4C2512yes—
1831C2×C4⋊C4C2512yes—
1832C2×C4⋊C4C2514yes—
1833C2×C4⋊C4C2514yes—
1834C2×C4⋊C4C2512yes—
1835C2×C4⋊C4C2512yes—
1836C2×C22⋊C4—28no—
1837C2×C22⋊C4—28no—
1838C2×C22⋊C4—28no—
1839C2×C22⋊C4—22no—
1840C2×C22⋊C4—22no—
1841C2×C22⋊C4—22no—
1842C2×C22⋊C4—22no—
1843C2×C22⋊C4—22no—
1844C2×C22⋊C4—22no—
1845C2×C22⋊C4—22no—
1846C2×C22⋊C4—22no—
1847C2×C22⋊C4—22no—
1848C2×C22⋊C4—22no—
1849C2×C22⋊C4—22no—
1850C2×C22⋊C4—22no—
1851C2×C22⋊C4—28no—
1852C2×C22⋊C4—28no—
1853C2×C22⋊C4—24no—
1854C2×C22⋊C4—24no—
1855C2×C22⋊C4—28no—
1856C2×C22⋊C4—28no—
1857C2×C22⋊C4—24no—
1858C2×C22⋊C4—24no—
1859C2×C22⋊C4—24no—
1860C2×C22⋊C4—24no—
1861C2×C22⋊C4—24no—
1862C2×C22⋊C4—24no—
1863C2×C22⋊C4—24no—
1864C2×C22⋊C4—24no—
1865C2×C22⋊C4—28no—
1866C2×C22⋊C4—28no—
1867C2×C22⋊C4—24no—
1868C2×C22⋊C4—24no—
1869C2×C22⋊C4—28no—
1870C2×C22⋊C4—24no—
1871C2×C22⋊C4—24no—
1872C2×C22⋊C4—24no—
1873C2×C22⋊C4—24no—
1874C2×C22⋊C4—24no—
1875C2×C22⋊C4—24no—
1876C2×C22⋊C4—24no—
1877C2×C22⋊C4—24no—
1878C2×C22⋊C4—24no—
1879C2×C22⋊C4—24no—
1880C2×C22⋊C4—24no—
1881C2×C22⋊C4—24no—
1882C2×C22⋊C4—24no—
1883C2×C22⋊C4—24no—
1884C2×C22⋊C4—48no—
1885C2×C22⋊C4—48no—
1886C2×C22⋊C4—48no—
1887C2×C22⋊C4—48no—
1888C2×C22⋊C4—44no—
1889C2×C22⋊C4—44no—
1890C2×C22⋊C4—48no—
1891C2×C22⋊C4—48no—
1892C2×C22⋊C4—48no—
1893C2×C22⋊C4—48no—
1894C2×C22⋊C4—44no—
1895C2×C22⋊C4—44no—
1896C2×C22⋊C4—44no—
1897C2×C22⋊C4—48no—
1898C2×C22⋊C4—48no—
1899C2×C22⋊C4—48no—
1900C2×C22⋊C4—48no—
1901C2×C22⋊C4—88no—
1902C2×C22⋊C4—84no—
1903C2×C22⋊C4—84no—
1904C2×C22⋊C4—84no—
1905C2×C22⋊C4—84no—
1906C2×C22⋊C4—84no—
1907C2×C22⋊C4C22×D414yes—
1908C2×C22⋊C4C22×D414yes—
1909C2×C22⋊C4C22×D414yes—
1910C2×C22⋊C4C22×D414yes—
1911C2×C42—24no—
1912C2×C42—24no—
1913C2×C42—24no—
1914C2×C42—28no—
1915C2×C42—22no—
1916C2×C42—22no—
1917C2×C42—24no—
1918C2×C42—24no—
1919C2×C42—22no—
1920C2×C42—22no—
1921C2×C42—42no—
1922C2×C42—42no—
1923C2×C42—42no—
1924C2×C42—42no—
1925C2×C42—42no—
1926C2×C42—42no—
1927C2×C42—42no—
1928C2×C42—42no—
1929C2×C42—42no—
1930C2×C42—44no—
1931C2×C42—44no—
1932C2×C42—48no—
1933C2×C42—82no—
1934C2×C42—82no—
1935C2×C42C22×D411yescharacteristic
1936C2×C42C22×D411yescharacteristic
1937C2×C42C22×D411yescharacteristic
1938C2×C42C22×D411yescharacteristic
1939C2×C42C22×D411yescharacteristic
1940C2×C42C22×D411yescharacteristic
1941C2×C42C22×D411yescharacteristic
1942C2×C42C22×D411yescharacteristic
1943C2×C42C22×D411yescharacteristic
1944C2×C42C22×D411yescharacteristic
1945C2×C42C22×D411yescharacteristic
1946C2×C42C22×D411yescharacteristic
1947C2×C42C22×D414yes—
1948C2×C42C22×D414yes—
1949C2×C42C2511yescharacteristic
1950C2×C42C2511yescharacteristic
1951C2×C42C2511yescharacteristic
1952C2×C42C2514yes—
1953C2×C42C2514yes—
1954C2×C42C2511yescharacteristic
1955#107—216no—
1956#107—48no—
1957#106—28no—
1958#106—44no—
1959#106—48no—
1960C4⋊C8—28no—
1961C4⋊C8—44no—
1962C4⋊C8—48no—
1963C4⋊C8—48no—
1964#103—28no—
1965#103—44no—
1966#103—48no—
1967#102—28no—
1968#102—28no—
1969#102—28no—
1970#102—28no—
1971#102—216no—
1972#102—216no—
1973#102—216no—
1974#102—44no—
1975#102—44no—
1976#102—48no—
1977#102—48no—
1978#102—48no—
1979#102—48no—
1980#102—48no—
1981#102—48no—
1982#102—48no—
1983#102—48no—
1984C22⋊C8—28no—
1985C22⋊C8—28no—
1986C22⋊C8—24no—
1987C22⋊C8—24no—
1988C22⋊C8C2×#4118yes—
1989C22⋊C8C2×#4118yescomplemented
1990#97—48no—
1991#97—48no—
1992C4×C8—28no—
1993C4×C8—44no—
1994#95—22no—
1995#95—22no—
1996#95—22no—
1997#95—22no—
1998#95—22no—
1999#95—22no—
2000#95—22no—
2001#95—22no—
2002#95—28no—
2003#95—22no—
2004#95—22no—
2005#95—28no—
2006#95—24no—
2007#95—24no—
2008#95—24no—
2009#95—24no—
2010#95—24no—
2011#95—24no—
2012#95—24no—
2013#95—24no—
2014#95—24no—
2015#95—24no—
2016#95—24no—
2017#95—24no—
2018#95C22×D414yes—
2019#95C22×D414yes—
2020#95C22×D414yes—
2021#95C22×D414yes—
2022#95C22×D414yes—
2023#95C22×D414yes—
2024#95C22×D414yes—
2025#95C22×D414yes—
2026#95C22×D414yes—
2027#95C22×D414yes—
2028C24—24no—
2029C24—24no—
2030C24—22no—
2031C24—22no—
2032C24—24no—
2033C24—24no—
2034C24—41no—
2035C24—41no—
2036C24—41no—
2037C24—41no—
2038C24—44no—
2039C24—44no—
2040C24—44no—
2041C24—44no—
2042C24—42no—
2043C24—42no—
2044C24—42no—
2045C24—42no—
2046C24—42no—
2047C24—42no—
2048C24—44no—
2049C24—44no—
2050C24—44no—
2051C24—44no—
2052C24—432no—
2053C24—44no—
2054C24—44no—
2055C24—42no—
2056C24—42no—
2057C24—42no—
2058C24—42no—
2059C24—42no—
2060C24—42no—
2061C24—44no—
2062C24—44no—
2063C24—44no—
2064C24—44no—
2065C24—44no—
2066C24—44no—
2067C24—44no—
2068C24—44no—
2069C24—44no—
2070C24—44no—
2071C24—82no—
2072C24—82no—
2073C24—82no—
2074C24—82no—
2075C24—82no—
2076C24—82no—
2077C24—82no—
2078C24—82no—
2079C24—816no—
2080C24—816no—
2081C24—816no—
2082C24—816no—
2083C24—816no—
2084C24—816no—
2085C24#55014yes—
2086C24C2×AGL(1,ℤ/8)14yes—
2087C24#57614yes—
2088C24C23×D411yescharacteristic
2089C24C23×D411yescharacteristic
2090C24C23×D411yescharacteristic
2091#41—864no—
2092#41—864no—
2093C2×Q8—24no—
2094C2×Q8—24no—
2095C2×Q8—24no—
2096C2×Q8—24no—
2097C2×Q8—22no—
2098C2×Q8—24no—
2099C2×Q8—22no—
2100C2×Q8—24no—
2101C2×Q8—42no—
2102C2×Q8—42no—
2103C2×Q8—416no—
2104C2×Q8—48no—
2105C2×Q8—42no—
2106C2×Q8—81no—
2107C2×Q8—81no—
2108C2×Q8—84no—
2109C2×D4—216no—
2110C2×D4—216no—
2111C2×D4—24no—
2112C2×D4—24no—
2113C2×D4—22no—
2114C2×D4—22no—
2115C2×D4—24no—
2116C2×D4—24no—
2117C2×D4—22no—
2118C2×D4—22no—
2119C2×D4—22no—
2120C2×D4—22no—
2121C2×D4—22no—
2122C2×D4—28no—
2123C2×D4—24no—
2124C2×D4—24no—
2125C2×D4—28no—
2126C2×D4—22no—
2127C2×D4—22no—
2128C2×D4—22no—
2129C2×D4—28no—
2130C2×D4—28no—
2131C2×D4—48no—
2132C2×D4—48no—
2133C2×D4—48no—
2134C2×D4—48no—
2135C2×D4—48no—
2136C2×D4—48no—
2137C2×D4—48no—
2138C2×D4—48no—
2139C2×D4—44no—
2140C2×D4—44no—
2141C2×D4—44no—
2142C2×D4—44no—
2143C2×D4—42no—
2144C2×D4—42no—
2145C2×D4—48no—
2146C2×D4—48no—
2147C2×D4—416no—
2148C2×D4—416no—
2149C2×D4—416no—
2150C2×D4—44no—
2151C2×D4—416no—
2152C2×D4—44no—
2153C2×D4—44no—
2154C2×D4—44no—
2155C2×D4—416no—
2156C2×D4—416no—
2157C2×D4—44no—
2158C2×D4—44no—
2159C2×D4—432no—
2160C2×D4—432no—
2161C2×D4—432no—
2162C2×D4—48no—
2163C2×D4—48no—
2164C2×D4—48no—
2165C2×D4—48no—
2166C2×D4—48no—
2167C2×D4—48no—
2168C2×D4—48no—
2169C2×D4—48no—
2170C2×D4—48no—
2171C2×D4—48no—
2172C2×D4—48no—
2173C2×D4—48no—
2174C2×D4—44no—
2175C2×D4—44no—
2176C2×D4—44no—
2177C2×D4—42no—
2178C2×D4—42no—
2179C2×D4—44no—
2180C2×D4—44no—
2181C2×D4—44no—
2182C2×D4—44no—
2183C2×D4—44no—
2184C2×D4—44no—
2185C2×D4—44no—
2186C2×D4—44no—
2187C2×D4—44no—
2188C2×D4—44no—
2189C2×D4—44no—
2190C2×D4—88no—
2191C2×D4—88no—
2192C2×D4—88no—
2193C2×D4—88no—
2194C2×D4—88no—
2195C2×D4—88no—
2196C2×D4—816no—
2197C2×D4—88no—
2198C2×D4—88no—
2199C2×D4—82no—
2200C2×D4—82no—
2201C2×D4—82no—
2202C2×D4—82no—
2203C2×D4—88no—
2204C2×D4—82no—
2205C2×D4—82no—
2206C2×D4—82no—
2207C2×D4—82no—
2208C2×D4—82no—
2209C2×D4—82no—
2210C2×D4—82no—
2211C2×D4—88no—
2212C2×D4—82no—
2213C2×D4—832no—
2214C2×D4—832no—
2215C2×D4—832no—
2216C2×D4—832no—
2217C2×D4—168no—
2218C2×D4—168no—
2219C2×D4—168no—
2220C2×D4—1616no—
2221C2×D4—1616no—
2222C2×D4C2×H(5,𝔽2)14yes—
2223C2×D4#58514yes—
2224C22×C4—22no—
2225C22×C4—22no—
2226C22×C4—22no—
2227C22×C4—22no—
2228C22×C4—22no—
2229C22×C4—22no—
2230C22×C4—22no—
2231C22×C4—22no—
2232C22×C4—22no—
2233C22×C4—22no—
2234C22×C4—22no—
2235C22×C4—22no—
2236C22×C4—24no—
2237C22×C4—28no—
2238C22×C4—22no—
2239C22×C4—24no—
2240C22×C4—24no—
2241C22×C4—22no—
2242C22×C4—22no—
2243C22×C4—22no—
2244C22×C4—24no—
2245C22×C4—24no—
2246C22×C4—22no—
2247C22×C4—22no—
2248C22×C4—22no—
2249C22×C4—22no—
2250C22×C4—22no—
2251C22×C4—22no—
2252C22×C4—28no—
2253C22×C4—22no—
2254C22×C4—22no—
2255C22×C4—22no—
2256C22×C4—24no—
2257C22×C4—22no—
2258C22×C4—24no—
2259C22×C4—22no—
2260C22×C4—416no—
2261C22×C4—48no—
2262C22×C4—48no—
2263C22×C4—41no—
2264C22×C4—41no—
2265C22×C4—41no—
2266C22×C4—41no—
2267C22×C4—41no—
2268C22×C4—41no—
2269C22×C4—42no—
2270C22×C4—42no—
2271C22×C4—42no—
2272C22×C4—41no—
2273C22×C4—41no—
2274C22×C4—41no—
2275C22×C4—41no—
2276C22×C4—41no—
2277C22×C4—41no—
2278C22×C4—42no—
2279C22×C4—41no—
2280C22×C4—41no—
2281C22×C4—41no—
2282C22×C4—41no—
2283C22×C4—41no—
2284C22×C4—41no—
2285C22×C4—42no—
2286C22×C4—42no—
2287C22×C4—42no—
2288C22×C4—41no—
2289C22×C4—41no—
2290C22×C4—42no—
2291C22×C4—41no—
2292C22×C4—44no—
2293C22×C4—44no—
2294C22×C4—416no—
2295C22×C4—44no—
2296C22×C4—432no—
2297C22×C4—44no—
2298C22×C4—44no—
2299C22×C4—44no—
2300C22×C4—44no—
2301C22×C4—44no—
2302C22×C4—416no—
2303C22×C4—44no—
2304C22×C4—42no—
2305C22×C4—42no—
2306C22×C4—44no—
2307C22×C4—44no—
2308C22×C4—44no—
2309C22×C4—42no—
2310C22×C4—42no—
2311C22×C4—42no—
2312C22×C4—44no—
2313C22×C4—44no—
2314C22×C4—42no—
2315C22×C4—44no—
2316C22×C4—42no—
2317C22×C4—44no—
2318C22×C4—44no—
2319C22×C4—44no—
2320C22×C4—44no—
2321C22×C4—44no—
2322C22×C4—42no—
2323C22×C4—42no—
2324C22×C4—44no—
2325C22×C4—44no—
2326C22×C4—44no—
2327C22×C4—44no—
2328C22×C4—44no—
2329C22×C4—44no—
2330C22×C4—44no—
2331C22×C4—44no—
2332C22×C4—82no—
2333C22×C4—82no—
2334C22×C4—82no—
2335C22×C4—82no—
2336C22×C4—88no—
2337C22×C4—832no—
2338C22×C4—832no—
2339C22×C4—84no—
2340C22×C4—84no—
2341C22×C4—84no—
2342C22×C4—84no—
2343C22×C4—84no—
2344C22×C4—84no—
2345C22×C4—816no—
2346C22×C4—88no—
2347C22×C4—81no—
2348C22×C4—81no—
2349C22×C4—81no—
2350C22×C4—82no—
2351C22×C4—82no—
2352C22×C4—81no—
2353C22×C4—832no—
2354C22×C4—832no—
2355C22×C4—816no—
2356C22×C4—832no—
2357C22×C4—81no—
2358C22×C4—81no—
2359C22×C4—81no—
2360C22×C4—81no—
2361C22×C4—816no—
2362C22×C4—816no—
2363C22×C4#55014yes—
2364C22×C4#55014yes—
2365C22×C4#55014yes—
2366C22×C4C2×AGL(1,ℤ/8)14yes—
2367C22×C4C2×AGL(1,ℤ/8)14yes—
2368C22×C4C2×AGL(1,ℤ/8)14yes—
2369C22×C4C2×AGL(1,ℤ/8)14yes—
2370C22×C4C2×AGL(1,ℤ/8)14yes—
2371C22×C4C2×AGL(1,ℤ/8)14yes—
2372C22×C4C23×D414yes—
2373C22×C4C23×D414yes—
2374C22×C4C23×D414yes—
2375C22×C4C23×D414yes—
2376C22×C4C23×D411yescharacteristic
2377C22×C4C23×D411yescharacteristic
2378C22×C4C23×D411yescharacteristic
2379C22×C4C23×D411yescharacteristic
2380C22×C4C23×D411yescharacteristic
2381C22×C4C23×D411yescharacteristic
2382C22×C4C23×D411yescharacteristic
2383C22×C4C23×D411yescharacteristic
2384C22×C4C23×D411yescharacteristic
2385C22×C4C23×D411yescharacteristic
2386C22×C4C23×D411yescharacteristic
2387C22×C4C22×#4112yes—
2388C22×C4C22×#4112yes—
2389C22×C4C22×#4112yes—
2390C22×C4C2×H(5,𝔽2)12yes—
2391C22×C4C2×H(5,𝔽2)12yes—
2392C22×C4C2×H(5,𝔽2)12yes—
2393C22×C4C2611yescharacteristic
2394SD16—416no—
2395SD16—416no—
2396SD16—168no—
2397D8—816no—
2398D8—816no—
2399D8—816no—
2400D8—168no—
2401C2×C8—24no—
2402C2×C8—24no—
2403C2×C8—24no—
2404C2×C8—28no—
2405C2×C8—24no—
2406C2×C8—28no—
2407C2×C8—28no—
2408C2×C8—24no—
2409C2×C8—48no—
2410C2×C8—84no—
2411C2×C8—88no—
2412C2×C8C22×#4118yes—
2413C4⋊C4—24no—
2414C4⋊C4—24no—
2415C4⋊C4—22no—
2416C4⋊C4—24no—
2417C4⋊C4—28no—
2418C4⋊C4—24no—
2419C4⋊C4—24no—
2420C4⋊C4—28no—
2421C4⋊C4—28no—
2422C4⋊C4—22no—
2423C4⋊C4—24no—
2424C4⋊C4—24no—
2425C4⋊C4—24no—
2426C4⋊C4—24no—
2427C4⋊C4—22no—
2428C4⋊C4—22no—
2429C4⋊C4—24no—
2430C4⋊C4—22no—
2431C4⋊C4—24no—
2432C4⋊C4—42no—
2433C4⋊C4—44no—
2434C4⋊C4—42no—
2435C4⋊C4—44no—
2436C4⋊C4—44no—
2437C4⋊C4—44no—
2438C4⋊C4—44no—
2439C4⋊C4—42no—
2440C4⋊C4—416no—
2441C4⋊C4—44no—
2442C4⋊C4—44no—
2443C4⋊C4—44no—
2444C4⋊C4—42no—
2445C4⋊C4—44no—
2446C4⋊C4—44no—
2447C4⋊C4—44no—
2448C4⋊C4—44no—
2449C4⋊C4—44no—
2450C4⋊C4—44no—
2451C4⋊C4—44no—
2452C4⋊C4—81no—
2453C4⋊C4—81no—
2454C4⋊C4—82no—
2455C4⋊C4—82no—
2456C4⋊C4—82no—
2457C4⋊C4—82no—
2458C4⋊C4—82no—
2459C4⋊C4—82no—
2460C4⋊C4—84no—
2461C4⋊C4—84no—
2462C4⋊C4C2×H(5,𝔽2)14yes—
2463C22⋊C4—28no—
2464C22⋊C4—28no—
2465C22⋊C4—28no—
2466C22⋊C4—28no—
2467C22⋊C4—28no—
2468C22⋊C4—28no—
2469C22⋊C4—44no—
2470C22⋊C4—44no—
2471C22⋊C4—416no—
2472C22⋊C4—44no—
2473C22⋊C4—44no—
2474C22⋊C4—44no—
2475C22⋊C4—416no—
2476C22⋊C4—416no—
2477C22⋊C4—416no—
2478C22⋊C4—44no—
2479C22⋊C4—44no—
2480C22⋊C4—44no—
2481C22⋊C4—44no—
2482C22⋊C4—48no—
2483C22⋊C4—48no—
2484C22⋊C4—48no—
2485C22⋊C4—48no—
2486C22⋊C4—44no—
2487C22⋊C4—48no—
2488C22⋊C4—48no—
2489C22⋊C4—48no—
2490C22⋊C4—48no—
2491C22⋊C4—84no—
2492C22⋊C4—84no—
2493C22⋊C4—88no—
2494C22⋊C4—88no—
2495C22⋊C4—84no—
2496C22⋊C4—84no—
2497C22⋊C4—84no—
2498C22⋊C4—84no—
2499C22⋊C4—88no—
2500C22⋊C4—84no—
2501C22⋊C4—84no—
2502C22⋊C4—84no—
2503C22⋊C4—84no—
2504C22⋊C4—84no—
2505C22⋊C4—84no—
2506C22⋊C4—84no—
2507C22⋊C4—84no—
2508C22⋊C4—84no—
2509C22⋊C4—84no—
2510C22⋊C4—84no—
2511C22⋊C4—84no—
2512C42—22no—
2513C42—28no—
2514C42—22no—
2515C42—22no—
2516C42—28no—
2517C42—22no—
2518C42—22no—
2519C42—22no—
2520C42—22no—
2521C42—22no—
2522C42—22no—
2523C42—41no—
2524C42—41no—
2525C42—41no—
2526C42—41no—
2527C42—41no—
2528C42—41no—
2529C42—44no—
2530C42—44no—
2531C42—416no—
2532C42—44no—
2533C42—44no—
2534C42—82no—
2535C42—82no—
2536C42—84no—
2537C42—84no—
2538C42C2×H(5,𝔽2)14yes—
2539C23—21no—
2540C23—21no—
2541C23—21no—
2542C23—21no—
2543C23—21no—
2544C23—21no—
2545C23—21no—
2546C23—21no—
2547C23—21no—
2548C23—21no—
2549C23—21no—
2550C23—21no—
2551C23—24no—
2552C23—24no—
2553C23—44no—
2554C23—44no—
2555C23—44no—
2556C23—44no—
2557C23—44no—
2558C23—44no—
2559C23—48no—
2560C23—416no—
2561C23—416no—
2562C23—48no—
2563C23—48no—
2564C23—48no—
2565C23—48no—
2566C23—48no—
2567C23—42no—
2568C23—42no—
2569C23—42no—
2570C23—42no—
2571C23—42no—
2572C23—42no—
2573C23—42no—
2574C23—42no—
2575C23—42no—
2576C23—42no—
2577C23—42no—
2578C23—42no—
2579C23—44no—
2580C23—44no—
2581C23—44no—
2582C23—44no—
2583C23—44no—
2584C23—44no—
2585C23—44no—
2586C23—44no—
2587C23—44no—
2588C23—44no—
2589C23—44no—
2590C23—44no—
2591C23—44no—
2592C23—44no—
2593C23—88no—
2594C23—88no—
2595C23—88no—
2596C23—88no—
2597C23—88no—
2598C23—88no—
2599C23—88no—
2600C23—88no—
2601C23—84no—
2602C23—84no—
2603C23—84no—
2604C23—84no—
2605C23—84no—
2606C23—84no—
2607C23—88no—
2608C23—88no—
2609C23—88no—
2610C23—88no—
2611C23—88no—
2612C23—88no—
2613C23—88no—
2614C23—88no—
2615C23—8128no—
2616C23—84no—
2617C23—84no—
2618C23—88no—
2619C23—88no—
2620C23—88no—
2621C23—88no—
2622C23—164no—
2623C23—164no—
2624C23—164no—
2625C23—164no—
2626C23—164no—
2627C23—164no—
2628C23#3399116yescomplemented
2629C23C2×#55012yes—
2630C23C2×#55012yes—
2631C23C2×#55012yes—
2632C23C22×AGL(1,ℤ/8)12yes—
2633C23C22×AGL(1,ℤ/8)12yes—
2634C23C22×AGL(1,ℤ/8)12yes—
2635C23C2×#57612yes—
2636C23C2×#57612yes—
2637C23C2×#57612yes—
2638C23C24×D411yescharacteristic
2639Q8—48no—
2640Q8—48no—
2641Q8—44no—
2642Q8—44no—
2643Q8—84no—
2644D4—24no—
2645D4—24no—
2646D4—24no—
2647D4—24no—
2648D4—48no—
2649D4—48no—
2650D4—416no—
2651D4—416no—
2652D4—42no—
2653D4—42no—
2654D4—48no—
2655D4—48no—
2656D4—42no—
2657D4—42no—
2658D4—48no—
2659D4—48no—
2660D4—88no—
2661D4—88no—
2662D4—832no—
2663D4—832no—
2664D4—816no—
2665D4—816no—
2666D4—816no—
2667D4—816no—
2668D4—88no—
2669D4—88no—
2670D4—164no—
2671D4—164no—
2672D4—164no—
2673D4—164no—
2674D4—1616no—
2675D4—1616no—
2676D4—164no—
2677D4—164no—
2678C2×C4—21no—
2679C2×C4—21no—
2680C2×C4—21no—
2681C2×C4—21no—
2682C2×C4—21no—
2683C2×C4—21no—
2684C2×C4—21no—
2685C2×C4—21no—
2686C2×C4—21no—
2687C2×C4—21no—
2688C2×C4—21no—
2689C2×C4—21no—
2690C2×C4—21no—
2691C2×C4—21no—
2692C2×C4—24no—
2693C2×C4—24no—
2694C2×C4—24no—
2695C2×C4—24no—
2696C2×C4—24no—
2697C2×C4—24no—
2698C2×C4—28no—
2699C2×C4—28no—
2700C2×C4—28no—
2701C2×C4—21no—
2702C2×C4—21no—
2703C2×C4—21no—
2704C2×C4—24no—
2705C2×C4—24no—
2706C2×C4—24no—
2707C2×C4—24no—
2708C2×C4—24no—
2709C2×C4—24no—
2710C2×C4—24no—
2711C2×C4—24no—
2712C2×C4—24no—
2713C2×C4—21no—
2714C2×C4—21no—
2715C2×C4—21no—
2716C2×C4—24no—
2717C2×C4—24no—
2718C2×C4—24no—
2719C2×C4—24no—
2720C2×C4—21no—
2721C2×C4—21no—
2722C2×C4—21no—
2723C2×C4—44no—
2724C2×C4—44no—
2725C2×C4—44no—
2726C2×C4—44no—
2727C2×C4—44no—
2728C2×C4—44no—
2729C2×C4—44no—
2730C2×C4—44no—
2731C2×C4—44no—
2732C2×C4—416no—
2733C2×C4—48no—
2734C2×C4—48no—
2735C2×C4—48no—
2736C2×C4—42no—
2737C2×C4—42no—
2738C2×C4—416no—
2739C2×C4—42no—
2740C2×C4—42no—
2741C2×C4—42no—
2742C2×C4—42no—
2743C2×C4—42no—
2744C2×C4—44no—
2745C2×C4—42no—
2746C2×C4—44no—
2747C2×C4—42no—
2748C2×C4—42no—
2749C2×C4—44no—
2750C2×C4—44no—
2751C2×C4—42no—
2752C2×C4—42no—
2753C2×C4—42no—
2754C2×C4—42no—
2755C2×C4—42no—
2756C2×C4—42no—
2757C2×C4—44no—
2758C2×C4—44no—
2759C2×C4—42no—
2760C2×C4—88no—
2761C2×C4—88no—
2762C2×C4—88no—
2763C2×C4—88no—
2764C2×C4—88no—
2765C2×C4—82no—
2766C2×C4—82no—
2767C2×C4—82no—
2768C2×C4—84no—
2769C2×C4—84no—
2770C2×C4—832no—
2771C2×C4—88no—
2772C2×C4—88no—
2773C2×C4—84no—
2774C2×C4—84no—
2775C2×C4—84no—
2776C2×C4—88no—
2777C2×C4—88no—
2778C2×C4—88no—
2779C2×C4—162no—
2780C2×C4—162no—
2781C2×C4—324no—
2782C2×C4—324no—
2783C2×C4C2×#55012yes—
2784C2×C4C2×#55012yes—
2785C2×C4C2×#55012yes—
2786C2×C4#348412yes—
2787C2×C4#348412yes—
2788C2×C4C22×AGL(1,ℤ/8)12yes—
2789C2×C4C22×AGL(1,ℤ/8)12yes—
2790C2×C4C22×AGL(1,ℤ/8)12yes—
2791C2×C4C22×AGL(1,ℤ/8)12yes—
2792C2×C4#358512yes—
2793C2×C4C23×#4111yescharacteristic
2794C2×C4C22×H(5,𝔽2)12yes—
2795C2×C4C22×H(5,𝔽2)11yescharacteristic
2796C2×C4C2×#58512yes—
2797C8—28no—
2798C8—48no—
2799C8—44no—
2800C22—22no—
2801C22—22no—
2802C22—22no—
2803C22—22no—
2804C22—22no—
2805C22—22no—
2806C22—22no—
2807C22—22no—
2808C22—22no—
2809C22—22no—
2810C22—22no—
2811C22—22no—
2812C22—22no—
2813C22—22no—
2814C22—22no—
2815C22—22no—
2816C22—22no—
2817C22—22no—
2818C22—416no—
2819C22—44no—
2820C22—44no—
2821C22—44no—
2822C22—44no—
2823C22—44no—
2824C22—44no—
2825C22—816no—
2826C22—816no—
2827C22—832no—
2828C22—832no—
2829C22—82no—
2830C22—82no—
2831C22—82no—
2832C22—82no—
2833C22—82no—
2834C22—82no—
2835C22—82no—
2836C22—82no—
2837C22—84no—
2838C22—84no—
2839C22—84no—
2840C22—84no—
2841C22—84no—
2842C22—84no—
2843C22—84no—
2844C22—84no—
2845C22—84no—
2846C22—84no—
2847C22—84no—
2848C22—84no—
2849C22—84no—
2850C22—84no—
2851C22—1616no—
2852C22—328no—
2853C22C2×#339914yes—
2854C22C2×#339914yes—
2855C22C2×#339914yes—
2856C22C22×#55011yescharacteristic
2857C22C2×#348411yescharacteristic
2858C22#6281111yescharacteristic
2859C22C23×AGL(1,ℤ/8)11yescharacteristic
2860C22C22×#57611yescharacteristic
2861C22C2×#358511yescharacteristic
2862C22#6309011yescharacteristic
2863C4—22no—
2864C4—22no—
2865C4—22no—
2866C4—22no—
2867C4—22no—
2868C4—22no—
2869C4—22no—
2870C4—44no—
2871C4—44no—
2872C4—44no—
2873C4—44no—
2874C4—41no—
2875C4—41no—
2876C4—41no—
2877C4—44no—
2878C4—82no—
2879C4—84no—
2880C4—84no—
2881C4—82no—
2882C4—82no—
2883C4—82no—
2884C4—82no—
2885C4#6157114yes—
2886C4#6277312yes—
2887C4#6281812yes—
2888C2—24no—
2889C2—24no—
2890C2—24no—
2891C2—84no—
2892C2—84no—
2893C2—164no—
2894C2—164no—
2895C2#767021311yescharacteristic
2896C2C22×#339911yescharacteristic
2897C2#1057672711yescharacteristic
2898C2C2×#6157111yescharacteristic
2899C2#1057734711yescharacteristic
2900C2#1058023611yescharacteristic
2901C2#1058041111yescharacteristic
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #7670355C2semidirect
2. C2×#36101C2semidirect
3. #7535953C2semidirect
4. #7529630C2semidirect
5. #7521522C2semidirect
6. #6802693C2semidirect
7. #6802523C2semidirect
8. #6801403C2semidirect
9. #6718334C2semidirect
10. #6718046C2semidirect
11. C2×#32902C2semidirect
12. #6625153C2semidirect
13. #6624510C2semidirect
14. #6617420C2semidirect
15. #6589638C2semidirect
16. #6578155C2semidirect
17. #6506662C2semidirect
18. #6500278C2semidirect
19. #6473222C2semidirect
20. #6473035C2semidirect
21. #6470689C2semidirect
22. #6394561C2semidirect
23. #6390069C2semidirect
24. C2×C4×#450C2semidirect
25. C22×#550C22semidirect
28. C2×#3399C22semidirect
32. C22×#459C22semidirect
35. C22×C4×SD16C22semidirect
37. #59862C22semidirect
39. #59329C22semidirect
40. #59143C22semidirect
42. #39768C22semidirect
44. #39767C22semidirect
51. #36606C22semidirect
52. #36587C22semidirect
53. #36587C22semidirect
54. #36580C22semidirect
55. #36580C22semidirect
62. #36101C22semidirect
63. #36101C22semidirect
67. C2×#2538C22semidirect
68. C2×#2541C22semidirect
71. C2×#2445C22semidirect
77. C2×#2366C22semidirect
79. C2×#2354C22semidirect
82. #33171C22semidirect
83. #33111C22semidirect
84. #33107C22semidirect
85. #32908C22semidirect
86. #32903C22semidirect
91. #32902C22semidirect
92. #32902C22semidirect
93. #32659C22semidirect
94. #32612C22semidirect
95. #32178C22semidirect
96. #31918C22semidirect
97. #31598C22semidirect
98. #31224C22semidirect
99. #30753C22semidirect
100. #30749C22semidirect
101. #30239C22semidirect
102. #29760C22semidirect
103. #29755C22semidirect
104. #29718C22semidirect
105. #29713C22semidirect
106. #28890C22semidirect
107. #28574C22semidirect
108. #28470C22semidirect
109. #28344C22semidirect
110. #28341C22semidirect
111. #28312C22semidirect
112. #28312C22semidirect
113. #28301C22semidirect
114. #28301C22semidirect
115. #28272C22semidirect
116. #28120C22semidirect
117. #28114C22semidirect
118. #28114C22semidirect
119. #27909C22semidirect
120. #27909C22semidirect
121. #27755C22semidirect
122. #27647C22semidirect
123. #27504C22semidirect
124. #27206C22semidirect
125. #27199C22semidirect
126. #27081C22semidirect
127. #27065C22semidirect
128. #26601C22semidirect
129. #26597C22semidirect
130. #26587C22semidirect
131. #26541C22semidirect
132. #26257C22semidirect
133. #26087C22semidirect
134. #25788C22semidirect
135. #25783C22semidirect
136. #25725C22semidirect
137. #25725C22semidirect
138. #25721C22semidirect
139. #25721C22semidirect
140. #25637C22semidirect
141. #25631C22semidirect
142. #25376C22semidirect
143. #25364C22semidirect
144. #25300C22semidirect
145. #25214C22semidirect
146. #25212C22semidirect
147. #25090C22semidirect
148. #25088C22semidirect
149. #25076C22semidirect
150. #25076C22semidirect
151. #25057C22semidirect
152. #24753C22semidirect
153. #24631C22semidirect
154. #24628C22semidirect
155. #24476C22semidirect
156. #24354C22semidirect
157. #24211C22semidirect
158. #24208C22semidirect
159. #24208C22semidirect
160. #24196C22semidirect
161. #24188C22semidirect
162. #24186C22semidirect
163. #23241C22semidirect
164. #23193C22semidirect
165. #23132C22semidirect
166. #23108C22semidirect
167. #23099C22semidirect
168. #23029C22semidirect
169. #22956C22semidirect
170. #22938C22semidirect
171. #22858C22semidirect
172. #22811C22semidirect
173. #22629C22semidirect
174. #22627C22semidirect
175. #22545C22semidirect
176. #22510C22semidirect
177. #22295C22semidirect
178. #22081C22semidirect
179. #22046C22semidirect
182. #21597C22semidirect
183. #21578C22semidirect
184. #21452C22semidirect
185. C4×#450C22semidirect
186. C4×#450C22semidirect
187. C4×#450C22semidirect
188. C4×#450C22semidirect
189. C4×#450C22semidirect
190. C4×#450C22semidirect
191. C2×#1879C22semidirect
192. C2×#1877C22semidirect
195. C2×#1864C22semidirect
197. C2×#1802C22semidirect
201. C2×C4×#102C22semidirect
208. C2×#559C23semidirect
270. C2×#493C23semidirect
280. C2×#460C23semidirect
281. C2×#463C23semidirect
303. C2×#446C23semidirect
304. C2×#442C23semidirect
366. #2592C23semidirect
369. #2582C23semidirect
371. #2580C23semidirect
372. #2571C23semidirect
374. #2570C23semidirect
377. #2548C23semidirect
378. #2548C23semidirect
380. #2544C23semidirect
393. #2513C23semidirect
394. #2513C23semidirect
396. #2511C23semidirect
411. #2448C23semidirect
413. #2447C23semidirect
419. #2445C23semidirect
457. #2367C23semidirect
462. #2366C23semidirect
474. #2357C23semidirect
475. #2355C23semidirect
476. #2355C23semidirect
553. #2093C23semidirect
554. #2093C23semidirect
557. #2085C23semidirect
558. #2084C23semidirect
559. #2073C23semidirect
560. #2072C23semidirect
561. #2068C23semidirect
564. #2065C23semidirect
565. #2065C23semidirect
566. #2055C23semidirect
567. #2055C23semidirect
570. #2054C23semidirect
571. #2042C23semidirect
574. #2041C23semidirect
577. #2014C23semidirect
580. #2012C23semidirect
585. #2011C23semidirect
586. #2011C23semidirect
587. #1985C23semidirect
588. #1984C23semidirect
589. #1983C23semidirect
592. #1982C23semidirect
597. #1972C23semidirect
598. #1970C23semidirect
599. #1970C23semidirect
602. #1957C23semidirect
603. #1957C23semidirect
604. #1949C23semidirect
605. #1948C23semidirect
606. #1943C23semidirect
607. #1940C23semidirect
608. #1939C23semidirect
609. #1936C23semidirect
610. #1936C23semidirect
611. #1928C23semidirect
612. #1926C23semidirect
613. #1926C23semidirect
614. #1926C23semidirect
615. #1926C23semidirect
618. #1921C23semidirect
619. #1921C23semidirect
620. #1917C23semidirect
621. #1917C23semidirect
622. #1916C23semidirect
624. #1880C23semidirect
631. #1879C23semidirect
632. #1879C23semidirect
633. #1879C23semidirect
638. #1877C23semidirect
651. #1864C23semidirect
652. #1864C23semidirect
658. #1845C23semidirect
660. #1804C23semidirect
661. #1803C23semidirect
676. #1776C23semidirect
677. #1771C23semidirect
678. #1770C23semidirect
679. #1762C23semidirect
680. #1762C23semidirect
1084. C2×C22⋊C8#41semidirect
1624. C22×C8C2×#41semidirect
1989. C22⋊C8C2×#41semidirect
2628. C23#3399semidirect

Maximal subgroups

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

subgroupindex
#76703552
C2×#361012
#75359532
#75296302
#75215222
#68026932
#68025232
#68014032
#67183342
#67180462
C2×#329022
#66251532
#66245102
#66174202
#65896382
#65781552
#65066622
#65002782
#64732222
#64730352
#64706892
#63945612
#63900692
C2×C4×#4502