Finite Group Databasebeta

← #72343474

Subgroups — #72343474

Order 1024.

19687 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10576101C211yesmaximal, characteristic
2#10574206C212yesmaximal, complemented
3C2×#60184C212yesmaximal, complemented
4#6384016C2116yesmaximal, complemented
5#6384013C2116yesmaximal, complemented
6#6382743C211yesmaximal, characteristic, complemented
7#6381916C212yesmaximal, complemented
8#6381902C212yesmaximal, complemented
9#6381460C214yesmaximal, complemented
10#6380160C211yesmaximal, characteristic, complemented
11#6380102C211yesmaximal, characteristic, complemented
12#6379178C212yesmaximal, complemented
13#6379114C212yesmaximal, complemented
14C2×#21707C211yesmaximal, characteristic, complemented
15#6372971C212yesmaximal, complemented
16#6372838C212yesmaximal, complemented
17#6372690C214yesmaximal, complemented
18C2×#20513C211yesmaximal, characteristic, complemented
19#6370035C211yesmaximal, characteristic, complemented
20C2×#3584C2212yes—
21C2×#3573C2214yescomplemented
22#62812C2212yes—
23#61091C412yescomplemented
24#61090C414yescomplemented
25#61089C412yescomplemented
26#61088C414yescomplemented
27#61087C414yescomplemented
28#61086C414yescomplemented
29#61085C418yescomplemented
30#61084C414yescomplemented
31D4×#135C2218yes—
32#61038C2218yes—
33C2×#3147C2211yescharacteristic
34#60450C2212yes—
35#60415C2212yes—
36#60366C2214yes—
37#60184—232no—
38C2×#2957C2212yes—
39C2×#2957C2212yescomplemented
40C2×#2957C2218yescomplemented
41C2×#2956C2214yescomplemented
42C2×#2956C2218yescomplemented
43C2×#2955C2214yescomplemented
44C2×#2955C2218yescomplemented
45C22×#444C2211yescharacteristic
46C22×#444C2211yescharacteristic
47C22×#444C2212yescomplemented
48C22×#444C2218yescomplemented
49C22×#443C2212yescomplemented
50C2×C4×#135C2211yescharacteristic
51#60146—216no—
52#60146C22132yescomplemented
53#60144—24no—
54#60144C2212yes—
55#60144C2212yescomplemented
56#60143—24no—
57#60143C2214yescomplemented
58#60140—24no—
59#60140C2214yescomplemented
60C2×#2932—24no—
61C2×#2932C2211yescharacteristic
62C2×#2932C2212yescomplemented
63C2×#2931C2211yescharacteristic
64C2×#2916C2212yescomplemented
65#60099C2212yescomplemented
66C2×#2901C2214yescomplemented
67#60065C2214yescomplemented
68C2×#2875C2212yescomplemented
69C2×#2875C2212yescomplemented
70#34070C2211yescharacteristic
71#23180C2218yescomplemented
72#23179C2218yescomplemented
73#23020C22116yescomplemented
74#23019C22116yescomplemented
75#23017C22132yescomplemented
76#22888C22132yescomplemented
77#22887C22132yescomplemented
78#22688C2218yescomplemented
79#22686C2218yescomplemented
80#22669C2218yescomplemented
81D4×#108C2218yescomplemented
82#22453C22116yescomplemented
83#22452C22116yescomplemented
84#22434C22132yescomplemented
85#21707C2218yescomplemented
86#21707C2218yescomplemented
87#21551C2218yescomplemented
88#21550C2218yescomplemented
89#21547C2218yescomplemented
90#21546C2218yescomplemented
91#21519C22132yescomplemented
92#21468C22132yescomplemented
93#21466C22132yescomplemented
94#21252C2212yescomplemented
95#21240C2212yescomplemented
96C2×#1975C2212yescomplemented
97C2×#1974C2212yescomplemented
98C2×#1963C2212yescomplemented
99#21177C2212yescomplemented
100#21163C2212yescomplemented
101#21099C2214yescomplemented
102#21070C2214yescomplemented
103#20980C2214yescomplemented
104#20919C2214yescomplemented
105#20918C2214yescomplemented
106#20917C2214yescomplemented
107#20903C2214yescomplemented
108#20886C2214yescomplemented
109#20885C2214yescomplemented
110#20852C2214yescomplemented
111C2×#1848C2211yescharacteristic, complemented
112#20668C2212yescomplemented
113#20654C2212yescomplemented
114#20606C2214yescomplemented
115#20513C2218yescomplemented
116#20513C2218yescomplemented
117#20493C2218yescomplemented
118#20490C2218yescomplemented
119C2×C4×#108C2211yescharacteristic, complemented
120C2×#1773C2211yescharacteristic, complemented
121C2×#1773C2211yescharacteristic, complemented
122#20438C2211yescharacteristic, complemented
123#20437C2211yescharacteristic, complemented
124#20429C2211yescharacteristic, complemented
125#20420C2214yescomplemented
126C2×#1764C2212yescomplemented
127C2×#1764C2212yescomplemented
128C2×#1759C2212yescomplemented
129#20384C2212yescomplemented
130#20383C2212yescomplemented
131C4×#408C2212yescomplemented
132C2×#1726C2211yescharacteristic, complemented
133C2×#585C2314yes—
134#3584—216no—
135#3584—216no—
136C2×#578C2×C414yescomplemented
137C2×#578C2×C414yescomplemented
138C2×#577C2×C418yescomplemented
139C2×#577C2×C418yescomplemented
140C2×#576C2×C414yescomplemented
141C2×#576C2×C414yescomplemented
142C2×#575C2318yes—
143C2×#575C2314yes—
144C22×#135C2312yes—
145C22×#135C2318yes—
146C22×#135C2312yes—
147C22×#135C2311yescharacteristic
148#3573—232no—
149#3573—416no—
150C2×#568—28no—
151C2×#568—28no—
152C2×#568C2314yes—
153C2×#568C2314yes—
154C2×#568C23116yes—
155C2×#568C2314yes—
156C22×#131—28no—
157C22×#131—28no—
158C22×#131C2314yes—
159C22×#131C2312yes—
160C22×#131C23116yes—
161C22×#131C2312yes—
162C22×#131C2312yes—
163C22×#131C2312yes—
164#3500—24no—
165#3500C2×C418yes—
166#3499—22no—
167#3499C2×C414yes—
168#3498—22no—
169#3498C2×C414yes—
170#3497C2×C418yes—
171#3496—28no—
172#3496C2×C418yes—
173D4×#41—28no—
174D4×#41C23116yes—
175#3449—24no—
176#3449C2314yes—
177C2×#532—24no—
178C2×#532C2312yes—
179C2×#532C2311yescharacteristic
180C2×C4×#41C2312yes—
181C2×C4×#41C2312yes—
182#3287C2×C418yescomplemented
183D4×Q16C2×C418yescomplemented
184#3285C2×C4116yescomplemented
185#3284C2×C4116yescomplemented
186#3283C2×C418yescomplemented
187#3282C2×C4132yescomplemented
188D4×SD16C2×C4116yescomplemented
189#3280C2×C4116yescomplemented
190D4×D8C2×C418yescomplemented
191#3278C2×C4116yescomplemented
192#3277C2×C4116yescomplemented
193#3276C2×C4116yescomplemented
194#3275C2×C4132yescomplemented
195#3274C2×C4116yescomplemented
196#3273C2×C4116yescomplemented
197#3272C2×C4116yescomplemented
198#3147C2×C414yescomplemented
199#3147C2×C414yescomplemented
200#3147C2314yes—
201#3147C2314yes—
202C2×#495C2×C412yescomplemented
203C2×#495C2×C412yescomplemented
204C2×#494C2×C411yescharacteristic, complemented
205C2×#493C2×C411yescharacteristic, complemented
206C2×#492C2×C412yescomplemented
207#3061C2×C418yescomplemented
208#3060C2×C418yescomplemented
209#3059C2×C414yescomplemented
210#3058C2×C414yescomplemented
211#3057C2×C418yescomplemented
212#3054C2318yes—
213#3050C2318yes—
214#3040C2×C418yescomplemented
215#3039C2×C414yescomplemented
216#3038C2×C414yescomplemented
217#3037C2×C418yescomplemented
218#3036C2×C418yescomplemented
219#3035C23116yes—
220#3013C2×C4116yescomplemented
221#3012C2×C4116yescomplemented
222#3011C2×C418yescomplemented
223#3010C2×C418yescomplemented
224#3009C2×C418yescomplemented
225#3008C2×C418yescomplemented
226#3002C23132yes—
227#2957—264no—
228#2957—216no—
229#2957—216no—
230#2956—264no—
231#2956—232no—
232#2955—264no—
233#2955—232no—
234C2×#444—264no—
235C2×#444—216no—
236C2×#444—28no—
237C2×#444D4116yescomplemented
238C2×#444C23116yes—
239C2×#444C2314yes—
240C2×#444C2314yes—
241C2×#444C2314yes—
242C2×#444C2314yes—
243C2×#444C2314yes—
244C2×#444C23116yes—
245C2×#444C2318yes—
246C2×#444C2314yes—
247C2×#444C2318yes—
248C2×#444C2314yes—
249C2×#444C2314yes—
250C2×#443—48no—
251C2×#443C23116yes—
252C2×#443C2318yes—
253C2×#443C23116yes—
254C2×#443C2318yes—
255C2×#443C23116yes—
256C4×#135C2×C412yescomplemented
257C4×#135C2×C412yescomplemented
258C4×#135C2×C412yescomplemented
259C4×#135C2×C412yescomplemented
260C4×#135C2314yes—
261C4×#135C2314yes—
262C2×C4×Q16C2×C412yescomplemented
263C2×C4×SD16C2×C414yescomplemented
264C2×C4×D8C2×C412yescomplemented
265#2935—232no—
266#2935—28no—
267#2935C23116yes—
268D4×M16—232no—
269D4×M16—28no—
270D4×M16C23116yes—
271#2933—232no—
272#2933—232no—
273#2933—216no—
274#2933C23132yes—
275#2932—232no—
276#2932—24no—
277#2932—28no—
278#2932—22no—
279#2932—22no—
280#2932—22no—
281#2932—22no—
282#2932—28no—
283#2932—24no—
284#2932D414yes—
285#2932D414yes—
286#2932D418yes—
287#2932C23116yes—
288#2931—24no—
289#2931—28no—
290#2931—28no—
291#2931—24no—
292#2931C2×C414yes—
293#2931C2×C414yes—
294#2931C2×C412yes—
295#2931C2×C412yes—
296#2931C2×C412yes—
297#2931C2×C412yes—
298#2930—232no—
299#2930—28no—
300#2930C23116yes—
301#2929—232no—
302#2929—28no—
303#2929C23116yes—
304C2×#436C2314yes—
305C2×#435—232no—
306C2×#435—28no—
307C2×#435C2318yes—
308C2×C8×D4C2314yes—
309#2916—216no—
310C2×#430C2314yes—
311C2×#430C2318yes—
312C22×#108C2311yescharacteristic
313C22×#108C2312yes—
314C22×#108C2318yes—
315C22×#108C2312yes—
316C22×#108C2311yescharacteristic
317C2×#427C2311yescharacteristic
318#2906—28no—
319#2906C23116yes—
320#2905—24no—
321#2905C2314yes—
322C2×#423—24no—
323C2×#423C2312yes—
324C2×#423C2311yescharacteristic
325C2×#423C2311yescharacteristic
326#2901—232no—
327C2×#421C2314yes—
328C2×#421C2314yes—
329C2×#421C23116yes—
330C2×#421C2314yes—
331C22×#104C2312yes—
332C22×#104C23116yes—
333C22×#104C2314yes—
334C22×#104C2314yes—
335C22×#104C2312yes—
336#2896C2314yes—
337C2×#416C2312yes—
338#2880—216no—
339#2880C23132yes—
340#2879—28no—
341#2879C2314yes—
342#2879C2314yes—
343C2×#408—28no—
344C2×#408C2314yes—
345C2×#408C2312yes—
346C2×#408C2312yes—
347#2875—28no—
348#2875—216no—
349#2875C23116yes—
350C2×#405—22no—
351C2×#405—22no—
352C2×#405C2312yes—
353C2×#405C2312yes—
354C2×#405C2314yes—
355C2×#405C2314yes—
356C2×#405C2312yes—
357C2×#405C2312yes—
358C2×C4×M16—22no—
359C2×C4×M16C2312yes—
360C2×C4×M16C2314yes—
361C2×C4×M16C2312yes—
362C22×#97—22no—
363C22×#97C2314yes—
364C22×#97C2311yescharacteristic
365C22×#97C2311yescharacteristic
366C22×#97C2311yescharacteristic
367C22×C4×C8C2311yescharacteristic
368C22×C4×C8C2311yescharacteristic
369C22×C4×C8C2311yescharacteristic
370#2328—21no—
371#2327—21no—
372#2326—22no—
373#2325—24no—
374#2297C2312yes—
375#2290C2318yes—
376#2285C2311yescharacteristic
377C2×#376C2311yescharacteristic
378#1980C23116yes—
379#1975C2318yes—
380#1975C2318yes—
381#1975C2318yes—
382#1974C2318yes—
383#1974C23116yes—
384#1963C23116yes—
385#1950C23116yes—
386#1946C2318yes—
387#1945C2318yes—
388#1938C23116yes—
389#1937C23116yes—
390#1929C23132yes—
391#1897C23116yes—
392#1896C23116yes—
393#1876C23132yes—
394#1876C23132yes—
395#1876C23132yes—
396#1871C23132yes—
397#1866C23132yes—
398#1866C23132yes—
399#1855C23132yes—
400#1848C2314yes—
401#1848C2314yes—
402#1811C2318yes—
403#1810C2318yes—
404#1806C23116yes—
405#1789C23132yes—
406C4×#108C2314yes—
407C4×#108C2314yes—
408#1773C2314yes—
409#1773C2314yes—
410#1773C2314yes—
411#1773C2314yes—
412#1771C2318yes—
413#1770C2314yes—
414C8×C4⋊C4C2314yes—
415#1768C2318yes—
416#1765C23116yes—
417#1764C23116yes—
418#1764C23116yes—
419#1764C23116yes—
420#1759C23116yes—
421#1753C2318yes—
422#1753C2318yes—
423#1752C2318yes—
424C8×C22⋊C4C2318yes—
425#1750C2318yes—
426C4×C22⋊C8C2318yes—
427#1738C2314yes—
428C2×#341C2312yes—
429#1733C2314yes—
430C2×#339C2312yes—
431C2×#339C2312yes—
432#1729C2312yes—
433#1729C2312yes—
434#1728C2312yes—
435#1726C2314yes—
436#1726C2314yes—
437#585—216no—
438#585—216no—
439#585—48no—
440#585—48no—
441C2×2−1+4—24no—
442C2×2−1+4C22×C418yes—
443C2×2−1+4C22×C418yes—
444C2×H(5,𝔽2)—28no—
445C2×H(5,𝔽2)—24no—
446C2×H(5,𝔽2)C22×C418yes—
447C2×H(5,𝔽2)C22×C418yes—
448C22×#41—28no—
449C22×#41—28no—
450C22×#41C2414yes—
451C22×#41C24116yes—
452C22×#41C2412yes—
453C22×#41C2412yes—
454#578—232no—
455#578—232no—
456#577—264no—
457#577—264no—
458#576—232no—
459#576—232no—
460#575—216no—
461#575—216no—
462#575—232no—
463#575—232no—
464C2×#137C22×C418yes—
465C2×#137C22×C418yes—
466C2×#137C22×C4116yes—
467C2×#137C22×C4116yes—
468C2×AGL(1,ℤ/8)C22×C418yes—
469C2×AGL(1,ℤ/8)C22×C418yes—
470C2×AGL(1,ℤ/8)C22×C4116yes—
471C2×AGL(1,ℤ/8)C22×C4116yes—
472C2×#135—232no—
473C2×#135—232no—
474C2×#135—28no—
475C2×#135—28no—
476C2×#135—44no—
477C2×#135—44no—
478C2×#135C22×C414yes—
479C2×#135C22×C414yes—
480C2×#135C22×C418yes—
481C2×#135C22×C4116yes—
482C2×#135C22×C418yes—
483C2×#135C22×C418yes—
484C2×#135C22×C412yes—
485C2×#135C22×C412yes—
486C2×#135C2×D418yes—
487C2×#135#4118yes—
488C2×#135C2414yes—
489C2×#135C2414yes—
490C2×#135C24116yes—
491C2×#135C2418yes—
492C2×#135C2412yes—
493C2×#135C2412yes—
494C22×Q16C22×C412yes—
495C22×Q16C22×C418yes—
496C22×Q16C22×C412yes—
497C22×Q16C22×C411yescharacteristic
498C22×SD16C22×C414yes—
499C22×SD16C22×C4116yes—
500C22×SD16C22×C414yes—
501C22×SD16C22×C412yes—
502C22×D8C22×C412yes—
503C22×D8C22×C418yes—
504C22×D8C22×C412yes—
505C22×D8C22×C411yescharacteristic
506#568—216no—
507#568—216no—
508#568—264no—
509#568—216no—
510#568—48no—
511#568—48no—
512#568—48no—
513#568—432no—
514#568—464no—
515#568—464no—
516C2×#131—28no—
517C2×#131—28no—
518C2×#131—28no—
519C2×#131—216no—
520C2×#131—28no—
521C2×#131—216no—
522C2×#131—28no—
523C2×#131—24no—
524C2×#131—28no—
525C2×#131—24no—
526C2×#131—216no—
527C2×#131—24no—
528C2×#131—24no—
529C2×#131—216no—
530C2×#131—28no—
531C2×#131—28no—
532C2×#131—28no—
533C2×#131—28no—
534C2×#131—264no—
535C2×#131—216no—
536C2×#131—216no—
537C2×#131—44no—
538C2×#131—432no—
539C2×#131—464no—
540C2×#131—464no—
541C2×#131C22×C414yes—
542C2×#131C22×C414yes—
543C2×#131C22×C414yes—
544C2×#131C22×C414yes—
545C2×#131C2×D418yes—
546C2×#131C2×D418yes—
547C2×#131C2×D4116yescomplemented
548C2×#131C2418yes—
549C2×#131C2418yes—
550C2×#131C2418yes—
551C2×#131C24116yes—
552C2×#131C24116yes—
553C2×#131C2418yes—
554C22×M16—28no—
555C22×M16—216no—
556C22×M16—28no—
557C22×M16—216no—
558C22×M16—22no—
559C22×M16—22no—
560C22×M16—24no—
561C22×M16—216no—
562C22×M16C2412yes—
563C22×M16C2414yes—
564C22×M16C24116yes—
565C22×M16C2412yes—
566C22×M16C2414yes—
567C22×M16C2412yes—
568C22×M16C2412yes—
569C22×M16C2414yes—
570C23×C8—22no—
571C23×C8—22no—
572C23×C8—216no—
573C23×C8—24no—
574C23×C8C2414yes—
575C23×C8C2411yescharacteristic
576C23×C8C2411yescharacteristic
577C23×C8C2414yes—
578C23×C8C2411yescharacteristic
579C23×C8C2411yescharacteristic
580#550—28no—
581#550C22×C4116yes—
582D4×Q8—28no—
583D4×Q8C22×C4116yes—
584#548—216no—
585#548C22×C4132yes—
586#547—28no—
587#547—216no—
588#547—216no—
589#547C22×C4116yes—
590#546—216no—
591#546—232no—
592#546—232no—
593#546C22×C4132yes—
594D42—216no—
595D42—28no—
596D42—216no—
597D42C22×C4116yes—
598#537—216no—
599#537C22×C4116yes—
600#536—24no—
601#536—28no—
602#536—28no—
603#536C22×C418yes—
604#535—24no—
605#535—28no—
606#535—28no—
607#535C22×C418yes—
608#534—28no—
609#534—216no—
610#532—28no—
611#532—24no—
612#532—24no—
613#532—28no—
614#532—216no—
615#532—216no—
616#532—22no—
617#532—22no—
618#532—22no—
619#532—22no—
620#532C22×C418yes—
621#532C22×C414yes—
622#532C22×C412yes—
623#532C22×C412yes—
624#532C2×D412yes—
625#532C2×D412yes—
626#532C2×D414yes—
627#532C2418yes—
628C2×C4⋊Q8—24no—
629C2×C4⋊Q8C22×C412yes—
630C2×C4⋊Q8#4111yescharacteristic
631C2×#127—24no—
632C2×#127C22×C412yes—
633C2×#127#4111yescharacteristic
634C2×#124—28no—
635C2×#124C22×C414yes—
636C2×#124#4112yes—
637#525—28no—
638#525—232no—
639#525C24116yes—
640C2×#121—24no—
641C2×#121—216no—
642C2×#121#4114yes—
643C4×#41—24no—
644C4×#41—28no—
645C4×#41—22no—
646C4×#41—22no—
647C4×#41—44no—
648C4×#41C22×C414yes—
649C4×#41C22×C414yes—
650C4×#41C2418yes—
651C2×C4×Q8—22no—
652C2×C4×Q8C22×C414yes—
653C2×C4×D4—24no—
654C2×C4×D4—216no—
655C2×C4×D4—24no—
656C2×C4×D4—22no—
657C2×C4×D4—24no—
658C2×C4×D4C22×C414yes—
659C2×C4×D4C2414yes—
660C2×#117—22no—
661C2×#117C2412yes—
662C2×#117C2412yes—
663C2×#117C2414yes—
664C22×C42—22no—
665C22×C42C2411yescharacteristic
666C22×C42C2414yes—
667C22×C42C2411yescharacteristic
668C22×C42C2411yescharacteristic
669#495C22×C418yes—
670#495C22×C418yes—
671#495C22×C418yes—
672#495C22×C418yes—
673#494C22×C414yes—
674#494C22×C414yes—
675#493C22×C414yes—
676#493C22×C414yes—
677#492C22×C418yes—
678#492C22×C418yes—
679#470C22×C4116yes—
680#469C22×C4116yes—
681#468C22×C4132yes—
682#467C22×C4116yes—
683#466C22×C4116yes—
684#465C22×C4132yes—
685#464C22×C4132yes—
686#463C22×C4132yes—
687#462C22×C4116yes—
688#461C22×C4116yes—
689#460C22×C4116yes—
690#459C22×C4116yes—
691#452C22×C4132yes—
692#452C22×C4132yes—
693#451C22×C4132yes—
694#450C22×C4132yes—
695#449C22×C4132yes—
696#449C22×C4132yes—
697#448C22×C4132yes—
698#447C22×C4132yes—
699#444—232no—
700#444—216no—
701#444—216no—
702#444—264no—
703#444—232no—
704#444—264no—
705#444—216no—
706#444—216no—
707#444—216no—
708#444—216no—
709#444C2×D4132yescomplemented
710#444C2×D4132yescomplemented
711#443—232no—
712#443—264no—
713#443—232no—
714#443—264no—
715#443—432no—
716C4×Q16C22×C414yes—
717C4×Q16C22×C414yes—
718C4×Q16C22×C414yes—
719C4×Q16C22×C414yes—
720C4×SD16C22×C418yes—
721C4×SD16C22×C418yes—
722C4×SD16C22×C418yes—
723C4×SD16C22×C418yes—
724C4×D8C22×C414yes—
725C4×D8C22×C414yes—
726C4×D8C22×C414yes—
727C4×D8C22×C414yes—
728#436—232no—
729#436—216no—
730#436—216no—
731#436—232no—
732#436C22×C418yes—
733#436C22×C418yes—
734#436C22×C418yes—
735#436C22×C418yes—
736#435—232no—
737#435—232no—
738#435—232no—
739#435—232no—
740#435—232no—
741#435—232no—
742#435—216no—
743#435—216no—
744#435—216no—
745#435—216no—
746#435C2×D4132yes—
747#435C2×D4132yes—
748C8×D4—232no—
749C8×D4—216no—
750C8×D4—216no—
751C8×D4—232no—
752C8×D4C22×C418yes—
753C8×D4C22×C418yes—
754C8×D4C22×C418yes—
755C8×D4C22×C418yes—
756#430—216no—
757#430—232no—
758C2×#108—28no—
759C2×#108—24no—
760C2×#108—232no—
761C2×#108—44no—
762C2×#108C2×D418yescomplemented
763C2×#108C2412yes—
764C2×#108C2414yes—
765C2×#108C2412yes—
766C2×#108C2414yes—
767C2×#108C24116yes—
768C2×#108C2418yes—
769C2×#108C2412yes—
770C2×#108C2412yes—
771#427C22×C412yes—
772#427C22×C412yes—
773#427C2412yes—
774#427C2412yes—
775C2×#107C22×C412yes—
776C2×#106C22×C412yes—
777#424—28no—
778#424—232no—
779#424C24116yes—
780#423—28no—
781#423—22no—
782#423—22no—
783#423—216no—
784#423C22×C414yes—
785#423C22×C412yes—
786#423C22×C412yes—
787#423C2×D412yes—
788#423C2×D412yes—
789#423C2×D414yes—
790#423C2418yes—
791C2×C4⋊C8—24no—
792C2×C4⋊C8—216no—
793C2×C4⋊C8C2414yes—
794C2×C4⋊C8C2414yes—
795#421—216no—
796#421—216no—
797#421—264no—
798#421—48no—
799C2×#104—28no—
800C2×#104—216no—
801C2×#104—264no—
802C2×#104—48no—
803C2×#104C2×D4116yescomplemented
804C2×#104C24116yes—
805C2×#104C24116yes—
806C2×#104C2418yes—
807C2×#104C2418yes—
808C2×#104C2418yes—
809C2×#104C24116yes—
810C2×#104C24116yes—
811C2×#104C2418yes—
812#419C22×C418yes—
813#418C22×C418yes—
814#417C22×C4116yes—
815#416C22×C414yes—
816#416C22×C414yes—
817#416C2418yes—
818#416C24116yes—
819C2×#103C22×C414yes—
820C2×#102C22×C414yes—
821#408—28no—
822#408—28no—
823#408—28no—
824#408—24no—
825#408—24no—
826#408—232no—
827#408—232no—
828#408C22×C414yes—
829#408C22×C414yes—
830#408C22×C418yes—
831#408C2×D418yes—
832#408C2×D418yes—
833#408C24116yes—
834#408C24116yes—
835#407—28no—
836#407—232no—
837#407C24116yes—
838C2×C22⋊C8—28no—
839C2×C22⋊C8—232no—
840C2×C22⋊C8C2418yes—
841C2×C22⋊C8C2418yes—
842#405—24no—
843#405—24no—
844#405—28no—
845#405—28no—
846#405—216no—
847#405—216no—
848#405—216no—
849#405—216no—
850#405C2418yes—
851#405C2418yes—
852C4×M16—24no—
853C4×M16—28no—
854C4×M16—216no—
855C4×M16—216no—
856C4×M16C2418yes—
857C2×#97—22no—
858C2×#97—22no—
859C2×#97—24no—
860C2×#97—22no—
861C2×#97—216no—
862C2×#97—216no—
863C2×#97C2×D412yes—
864C2×#97C2×D412yes—
865C2×#97C2×D414yes—
866C2×#97C2×D418yescomplemented
867C2×#97C2414yes—
868C2×#97C2414yes—
869C2×#97C2414yes—
870C2×#97C2412yes—
871C2×#97C2412yes—
872C2×#97C2412yes—
873C2×#97C2412yes—
874C2×#97C2414yes—
875C2×C4×C8—22no—
876C2×C4×C8—22no—
877C2×C4×C8—24no—
878C2×C4×C8—22no—
879C2×C4×C8—42no—
880C2×C4×C8C22×C411yescharacteristic
881C2×C4×C8C22×C411yescharacteristic
882C2×C4×C8C22×C411yescharacteristic
883C2×C4×C8C22×C411yescharacteristic
884C2×C4×C8C22×C412yes—
885C2×C4×C8C22×C412yes—
886C2×C4×C8C2414yes—
887C2×C4×C8C2414yes—
888C2×C4×C8C2414yes—
889C2×C4×C8C2414yes—
890C2×C4×C8C2414yes—
891C2×C4×C8C2412yes—
892C2×C4×C8C2412yes—
893#391—22no—
894#390—22no—
895#388—28no—
896#387—28no—
897#386—24no—
898#386—28no—
899#385—28no—
900#384—21no—
901#382—21no—
902#380—22no—
903C4×C4⋊C4C2414yes—
904C4×C22⋊C4C2418yes—
905#376—21no—
906#376—21no—
907#376C2414yes—
908C2×#95—22no—
909#341C24116yes—
910#341C2418yes—
911#339C24116yes—
912#339C2418yes—
913#339C2418yes—
914#336C2418yes—
915#336C2418yes—
916#336C2418yes—
9172−1+4—232no—
9182−1+4—232no—
9192−1+4—416no—
9202−1+4—416no—
9212−1+4—416no—
9222−1+4—416no—
923H(5,𝔽2)—232no—
924H(5,𝔽2)—232no—
925H(5,𝔽2)—432no—
926H(5,𝔽2)—432no—
927H(5,𝔽2)—416no—
928H(5,𝔽2)—416no—
929H(5,𝔽2)—416no—
930H(5,𝔽2)—416no—
931C2×#41—28no—
932C2×#41—28no—
933C2×#41—28no—
934C2×#41—216no—
935C2×#41—216no—
936C2×#41—28no—
937C2×#41—22no—
938C2×#41—24no—
939C2×#41—216no—
940C2×#41—24no—
941C2×#41—22no—
942C2×#41—24no—
943C2×#41—24no—
944C2×#41—216no—
945C2×#41—24no—
946C2×#41—24no—
947C2×#41—24no—
948C2×#41—24no—
949C2×#41—232no—
950C2×#41—232no—
951C2×#41—28no—
952C2×#41—28no—
953C2×#41—28no—
954C2×#41—28no—
955C2×#41—416no—
956C2×#41—416no—
957C2×#41—432no—
958C2×#41—432no—
959C2×#41—432no—
960C2×#41—432no—
961C2×#41C23×C418yes—
962C2×#41C23×C4116yes—
963C2×#41C23×C4116yes—
964C2×#41C23×C414yes—
965C2×#41C23×C414yes—
966C2×#41C23×C414yes—
967C2×#41C22×D418yes—
968C2×#41C22×D414yes—
969C2×#41C22×D414yes—
970C2×#41C2×#4118yes—
971C2×#41C2518yes—
972C2×#41C2514yes—
973C22×Q8—28no—
974C22×Q8—28no—
975C22×Q8C23×C414yes—
976C22×Q8C23×C4116yes—
977C22×Q8C23×C412yes—
978C22×Q8C2×#4112yes—
979C22×D4—22no—
980C22×D4—24no—
981C22×D4—216no—
982C22×D4—216no—
983C22×D4—28no—
984C22×D4—216no—
985C22×D4—28no—
986C22×D4—216no—
987C22×D4—24no—
988C22×D4C23×C414yes—
989C22×D4C23×C4116yes—
990C22×D4C23×C412yes—
991C22×D4C2×#4114yes—
992C22×D4C2×#4112yes—
993C22×D4C2×#4114yes—
994C23×C4—22no—
995C23×C4—21no—
996C23×C4—216no—
997C23×C4—24no—
998C23×C4—24no—
999C23×C4—24no—
1000C23×C4—21no—
1001C23×C4C2×#4112yes—
1002C23×C4C2514yes—
1003C23×C4C2511yescharacteristic
1004#137—232no—
1005#137—232no—
1006#137—264no—
1007#137—264no—
1008AGL(1,ℤ/8)—232no—
1009AGL(1,ℤ/8)—232no—
1010AGL(1,ℤ/8)—264no—
1011AGL(1,ℤ/8)—264no—
1012#135—232no—
1013#135—232no—
1014#135—232no—
1015#135—264no—
1016#135—232no—
1017#135—216no—
1018#135—216no—
1019#135—28no—
1020#135—28no—
1021#135—28no—
1022#135—28no—
1023#135—416no—
1024#135—48no—
1025#135—48no—
1026#135C4×D4116yes—
1027#135C4×D4116yes—
1028#135C22×D418yes—
1029#135C22×D418yes—
1030#135C2×#4118yes—
1031#135C2×#4118yes—
1032C2×Q16—232no—
1033C2×Q16—28no—
1034C2×Q16—44no—
1035C2×Q16C4×D418yes—
1036C2×Q16C23×C414yes—
1037C2×Q16C23×C4116yes—
1038C2×Q16C23×C414yes—
1039C2×Q16C23×C418yes—
1040C2×Q16C23×C412yes—
1041C2×Q16C23×C412yes—
1042C2×SD16—264no—
1043C2×SD16—216no—
1044C2×SD16—48no—
1045C2×SD16C4×D4116yes—
1046C2×SD16C23×C418yes—
1047C2×SD16C23×C4116yes—
1048C2×SD16C23×C4116yes—
1049C2×SD16C23×C418yes—
1050C2×SD16C23×C4116yes—
1051C2×SD16C23×C414yes—
1052C2×SD16C23×C414yes—
1053C2×D8—232no—
1054C2×D8—28no—
1055C2×D8—44no—
1056C2×D8C4×D418yes—
1057C2×D8C23×C414yes—
1058C2×D8C23×C4116yes—
1059C2×D8C23×C414yes—
1060C2×D8C23×C418yes—
1061C2×D8C23×C412yes—
1062C2×D8C23×C412yes—
1063#131—216no—
1064#131—216no—
1065#131—216no—
1066#131—216no—
1067#131—232no—
1068#131—232no—
1069#131—232no—
1070#131—216no—
1071#131—232no—
1072#131—216no—
1073#131—232no—
1074#131—216no—
1075#131—216no—
1076#131—216no—
1077#131—216no—
1078#131—464no—
1079#131—48no—
1080#131—416no—
1081#131—416no—
1082#131—464no—
1083#131—432no—
1084#131—464no—
1085#131—416no—
1086#131—432no—
1087#131—464no—
1088#131—432no—
1089#131—432no—
1090#131—416no—
1091#131—416no—
1092#131C22×D4132yes—
1093C2×M16—22no—
1094C2×M16—24no—
1095C2×M16—24no—
1096C2×M16—24no—
1097C2×M16—24no—
1098C2×M16—24no—
1099C2×M16—24no—
1100C2×M16—216no—
1101C2×M16—22no—
1102C2×M16—216no—
1103C2×M16—28no—
1104C2×M16—28no—
1105C2×M16—28no—
1106C2×M16—216no—
1107C2×M16—28no—
1108C2×M16—216no—
1109C2×M16—28no—
1110C2×M16—28no—
1111C2×M16—28no—
1112C2×M16—28no—
1113C2×M16—28no—
1114C2×M16—24no—
1115C2×M16—28no—
1116C2×M16—24no—
1117C2×M16—232no—
1118C2×M16—464no—
1119C2×M16—464no—
1120C2×M16—48no—
1121C2×M16—416no—
1122C2×M16—432no—
1123C2×M16—464no—
1124C2×M16—432no—
1125C2×M16—416no—
1126C2×M16C23×C414yes—
1127C2×M16C23×C414yes—
1128C2×M16C23×C418yes—
1129C2×M16C23×C418yes—
1130C2×M16C22×D418yes—
1131C2×M16C22×D414yes—
1132C2×M16C22×D414yes—
1133C2×M16C22×D4116yes—
1134C2×M16C2518yes—
1135C2×M16C2514yes—
1136C2×M16C2514yes—
1137C22×C8—22no—
1138C22×C8—22no—
1139C22×C8—22no—
1140C22×C8—22no—
1141C22×C8—22no—
1142C22×C8—216no—
1143C22×C8—28no—
1144C22×C8—28no—
1145C22×C8—28no—
1146C22×C8—28no—
1147C22×C8—28no—
1148C22×C8—24no—
1149C22×C8—216no—
1150C22×C8—22no—
1151C22×C8—28no—
1152C22×C8—216no—
1153C22×C8—216no—
1154C22×C8—28no—
1155C22×C8—28no—
1156C22×C8—464no—
1157C22×C8—48no—
1158C22×C8—416no—
1159C22×C8C23×C418yes—
1160C22×C8C23×C418yes—
1161C22×C8C23×C411yescharacteristic
1162C22×C8C23×C411yescharacteristic
1163C22×C8C23×C412yes—
1164C22×C8C23×C411yescharacteristic
1165C22×C8C23×C411yescharacteristic
1166C22×C8C23×C411yescharacteristic
1167C22×C8C23×C411yescharacteristic
1168C22×C8C22×D4116yes—
1169C22×C8C22×D412yes—
1170C22×C8C22×D412yes—
1171C22×C8C22×D414yes—
1172C22×C8C22×D412yes—
1173C22×C8C22×D412yes—
1174C22×C8C22×D414yes—
1175C22×C8C2×#4114yes—
1176C22×C8H(5,𝔽2)14yes—
1177C22×C8C2514yes—
1178C22×C8C2512yes—
1179C22×C8C2514yes—
1180C22×C8C2512yes—
1181C22×C8C2511yescharacteristic
1182C22×C8C2511yescharacteristic
1183C22×C8C2512yes—
1184C4⋊Q8—28no—
1185C4⋊Q8—216no—
1186C4⋊Q8—22no—
1187C4⋊Q8—22no—
1188C4⋊Q8C4×D412yes—
1189C4⋊Q8C4×D412yes—
1190C4⋊Q8C4×D414yes—
1191C4⋊Q8C23×C418yes—
1192#127—28no—
1193#127—216no—
1194#127—22no—
1195#127—22no—
1196#127C4×D412yes—
1197#127C4×D412yes—
1198#127C4×D414yes—
1199#127C23×C418yes—
1200#124—28no—
1201#124—28no—
1202#124—232no—
1203#124—24no—
1204#124—24no—
1205#124C4×D414yes—
1206#124C4×D414yes—
1207#124C4×D418yes—
1208#124C23×C4116yes—
1209#123—216no—
1210#123—216no—
1211#123—232no—
1212#123—232no—
1213C22⋊Q8—216no—
1214C22⋊Q8—232no—
1215C22⋊Q8—232no—
1216C22⋊Q8C23×C4132yes—
1217#121—232no—
1218#121—216no—
1219#121—232no—
1220#121—216no—
1221#121—28no—
1222#121—28no—
1223#121—28no—
1224#121—28no—
1225#121—216no—
1226#121—232no—
1227#121—232no—
1228#121C4×D418yes—
1229#121C4×D418yes—
1230#121C4×D418yes—
1231#121C4×D418yes—
1232#121C23×C4132yes—
1233#120—216no—
1234#120—232no—
1235#120—216no—
1236#120—232no—
1237C4×Q8—24no—
1238C4×Q8—24no—
1239C4×Q8—48no—
1240C4×Q8C23×C418yes—
1241C4×Q8C23×C418yes—
1242C4×D4—216no—
1243C4×D4—28no—
1244C4×D4—28no—
1245C4×D4—232no—
1246C4×D4—28no—
1247C4×D4—28no—
1248C4×D4—216no—
1249C4×D4—232no—
1250C4×D4—28no—
1251C4×D4—28no—
1252C4×D4—24no—
1253C4×D4—24no—
1254C4×D4—28no—
1255C4×D4—28no—
1256C4×D4—48no—
1257C4×D4—416no—
1258C4×D4C23×C418yes—
1259C4×D4C23×C418yes—
1260C4×D4C23×C418yes—
1261C4×D4C23×C418yes—
1262C4×D4C22×D418yes—
1263C4×D4C22×D418yes—
1264#117—22no—
1265#117—22no—
1266#117—24no—
1267#117—24no—
1268#117—24no—
1269#117—24no—
1270#117—28no—
1271#117—28no—
1272#117—44no—
1273#117C23×C414yes—
1274#117C2514yes—
1275C2×C4⋊C4—24no—
1276C2×C4⋊C4—24no—
1277C2×C4⋊C4—216no—
1278C2×C4⋊C4—22no—
1279C2×C4⋊C4—24no—
1280C2×C4⋊C4—24no—
1281C2×C4⋊C4C23×C414yes—
1282C2×C4⋊C4C2×#4114yes—
1283C2×C22⋊C4—22no—
1284C2×C22⋊C4—24no—
1285C2×C22⋊C4—28no—
1286C2×C22⋊C4—232no—
1287C2×C22⋊C4—22no—
1288C2×C22⋊C4—24no—
1289C2×C22⋊C4—28no—
1290C2×C22⋊C4C2×#4118yes—
1291C2×C42—24no—
1292C2×C42—22no—
1293C2×C42—21no—
1294C2×C42—22no—
1295C2×C42—24no—
1296C2×C42—24no—
1297C2×C42—28no—
1298C2×C42—22no—
1299C2×C42—22no—
1300C2×C42—28no—
1301C2×C42—24no—
1302C2×C42—21no—
1303C2×C42—44no—
1304C2×C42C23×C412yes—
1305C2×C42C23×C411yescharacteristic
1306C2×C42C23×C411yescharacteristic
1307C2×C42C22×D414yes—
1308C2×C42C22×D411yescharacteristic
1309C2×C42C22×D412yes—
1310C2×C42C22×D411yescharacteristic
1311C2×C42C2×#4111yescharacteristic
1312C2×C42C2×#4111yescharacteristic
1313C2×C42C2514yes—
1314C2×C42C2512yes—
1315C2×C42C2512yes—
1316C2×C42C2512yes—
1317#108—232no—
1318#108—28no—
1319#108—28no—
1320#108—24no—
1321#108—24no—
1322#108—48no—
1323#108C22×D418yes—
1324#108C22×D418yes—
1325#107C23×C414yes—
1326#107C23×C414yes—
1327#106C23×C414yes—
1328#106C23×C414yes—
1329C4⋊C8—232no—
1330C4⋊C8—28no—
1331C4⋊C8—28no—
1332C4⋊C8C23×C418yes—
1333C4⋊C8C23×C418yes—
1334C4⋊C8C22×D418yes—
1335C4⋊C8C22×D418yes—
1336#104—232no—
1337#104—216no—
1338#104—232no—
1339#104—216no—
1340#104—216no—
1341#104—416no—
1342#104—416no—
1343#104C22×D4132yes—
1344#103C23×C418yes—
1345#103C23×C418yes—
1346#103C23×C4132yes—
1347#102C23×C418yes—
1348#102C23×C418yes—
1349#102C23×C4132yes—
1350C22⋊C8—232no—
1351C22⋊C8—216no—
1352C22⋊C8—232no—
1353C22⋊C8—216no—
1354C22⋊C8C23×C4116yes—
1355C22⋊C8C23×C4116yes—
1356C22⋊C8C22×D4132yes—
1357#97—28no—
1358#97—28no—
1359#97—28no—
1360#97—28no—
1361#97—24no—
1362#97—24no—
1363#97—28no—
1364#97—28no—
1365#97C22×D418yes—
1366#97C22×D418yes—
1367#97C22×D418yes—
1368#97C22×D418yes—
1369C4×C8—28no—
1370C4×C8—28no—
1371C4×C8—28no—
1372C4×C8—28no—
1373C4×C8—28no—
1374C4×C8—28no—
1375C4×C8—28no—
1376C4×C8—44no—
1377C4×C8C23×C412yes—
1378C4×C8C23×C412yes—
1379C4×C8C23×C412yes—
1380C4×C8C23×C412yes—
1381C4×C8C23×C412yes—
1382C4×C8C23×C412yes—
1383C4×C8C23×C412yes—
1384C4×C8C23×C412yes—
1385#95—24no—
1386#95—24no—
1387#95—28no—
1388#95—24no—
1389C24—22no—
1390C24—216no—
1391C24—24no—
1392C24C22×#4114yes—
1393C24C22×#4111yescharacteristic
1394#41—24no—
1395#41—24no—
1396#41—28no—
1397#41—28no—
1398#41—28no—
1399#41—28no—
1400#41—28no—
1401#41—28no—
1402#41—28no—
1403#41—28no—
1404#41—28no—
1405#41—28no—
1406#41—28no—
1407#41—28no—
1408#41—28no—
1409#41—232no—
1410#41—232no—
1411#41—28no—
1412#41—28no—
1413#41—28no—
1414#41—28no—
1415#41—216no—
1416#41—216no—
1417#41—432no—
1418#41—432no—
1419#41—416no—
1420#41—416no—
1421#41—432no—
1422#41—432no—
1423#41—464no—
1424#41—432no—
1425#41—432no—
1426#41—464no—
1427#41—432no—
1428#41—432no—
1429#41—48no—
1430#41—48no—
1431#41—48no—
1432#41—48no—
1433#41C2×C4×D4116yes—
1434#41C23×D418yes—
1435#41C22×#4118yes—
1436C2×Q8—22no—
1437C2×Q8—216no—
1438C2×Q8—24no—
1439C2×Q8—24no—
1440C2×Q8—24no—
1441C2×Q8—24no—
1442C2×Q8—232no—
1443C2×Q8—28no—
1444C2×Q8—28no—
1445C2×Q8—416no—
1446C2×Q8—432no—
1447C2×Q8—432no—
1448C2×Q8C2×C4×D418yes—
1449C2×Q8C2×C4×D414yes—
1450C2×Q8C2×C4×D414yes—
1451C2×Q8C24×C418yes—
1452C2×Q8C24×C414yes—
1453C2×D4—24no—
1454C2×D4—24no—
1455C2×D4—28no—
1456C2×D4—28no—
1457C2×D4—28no—
1458C2×D4—28no—
1459C2×D4—232no—
1460C2×D4—28no—
1461C2×D4—216no—
1462C2×D4—28no—
1463C2×D4—216no—
1464C2×D4—232no—
1465C2×D4—22no—
1466C2×D4—28no—
1467C2×D4—216no—
1468C2×D4—24no—
1469C2×D4—28no—
1470C2×D4—28no—
1471C2×D4—24no—
1472C2×D4—28no—
1473C2×D4—24no—
1474C2×D4—24no—
1475C2×D4—416no—
1476C2×D4—432no—
1477C2×D4—464no—
1478C2×D4—432no—
1479C2×D4—432no—
1480C2×D4—432no—
1481C2×D4—464no—
1482C2×D4—48no—
1483C2×D4—48no—
1484C2×D4—84no—
1485C2×D4—164no—
1486C2×D4—1616no—
1487C2×D4C2×C4×D418yes—
1488C2×D4C2×C4×D418yes—
1489C2×D4C2×C4×D414yes—
1490C2×D4C2×C4×D414yes—
1491C2×D4C2×C4×D418yes—
1492C2×D4C2×C4×D418yes—
1493C2×D4C2×C4×D418yes—
1494C2×D4C24×C418yes—
1495C2×D4C24×C414yes—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—28no—
1504C22×C4—28no—
1505C22×C4—22no—
1506C22×C4—24no—
1507C22×C4—216no—
1508C22×C4—24no—
1509C22×C4—24no—
1510C22×C4—28no—
1511C22×C4—216no—
1512C22×C4—216no—
1513C22×C4—28no—
1514C22×C4—28no—
1515C22×C4—28no—
1516C22×C4—22no—
1517C22×C4—24no—
1518C22×C4—432no—
1519C22×C4—432no—
1520C22×C4—48no—
1521C22×C4—48no—
1522C22×C4—48no—
1523C22×C4—42no—
1524C22×C4—82no—
1525C22×C4—82no—
1526C22×C4—82no—
1527C22×C4—88no—
1528C22×C4—164no—
1529C22×C4C2×C4×D412yes—
1530C22×C4C2×C4×D412yes—
1531C22×C4C2×C4×D412yes—
1532C22×C4C2×C4×D412yes—
1533C22×C4C24×C418yes—
1534C22×C4C24×C411yescharacteristic
1535C22×C4C24×C411yescharacteristic
1536C22×C4C23×D418yes—
1537C22×C4C23×D412yes—
1538C22×C4C23×D411yescharacteristic
1539C22×C4C23×D411yescharacteristic
1540C22×C4C22×#4114yes—
1541C22×C4C22×#4112yes—
1542C22×C4C22×#4112yes—
1543C22×C4C22×#4112yes—
1544C22×C4C22×#4111yescharacteristic
1545C22×C4C2×H(5,𝔽2)12yes—
1546C22×C4#58512yes—
1547C22×C4C2611yescharacteristic
1548Q16—232no—
1549Q16—28no—
1550Q16—28no—
1551Q16—48no—
1552Q16C2×C4×D418yes—
1553Q16C2×C4×D418yes—
1554SD16—232no—
1555SD16—232no—
1556SD16—216no—
1557SD16—216no—
1558SD16—416no—
1559SD16C2×C4×D4116yes—
1560SD16C2×C4×D4116yes—
1561D8—232no—
1562D8—28no—
1563D8—28no—
1564D8—48no—
1565D8C2×C4×D418yes—
1566D8C2×C4×D418yes—
1567M16—24no—
1568M16—28no—
1569M16—28no—
1570M16—28no—
1571M16—28no—
1572M16—28no—
1573M16—216no—
1574M16—216no—
1575M16—232no—
1576M16—232no—
1577M16—28no—
1578M16—24no—
1579M16—28no—
1580M16—24no—
1581M16—432no—
1582M16—432no—
1583M16—432no—
1584M16—416no—
1585M16—48no—
1586M16—44no—
1587M16—416no—
1588M16—416no—
1589M16C23×D418yes—
1590C2×C8—24no—
1591C2×C8—24no—
1592C2×C8—24no—
1593C2×C8—22no—
1594C2×C8—24no—
1595C2×C8—22no—
1596C2×C8—24no—
1597C2×C8—22no—
1598C2×C8—22no—
1599C2×C8—22no—
1600C2×C8—22no—
1601C2×C8—24no—
1602C2×C8—28no—
1603C2×C8—24no—
1604C2×C8—24no—
1605C2×C8—216no—
1606C2×C8—216no—
1607C2×C8—232no—
1608C2×C8—232no—
1609C2×C8—24no—
1610C2×C8—28no—
1611C2×C8—432no—
1612C2×C8—432no—
1613C2×C8—432no—
1614C2×C8—416no—
1615C2×C8—48no—
1616C2×C8—44no—
1617C2×C8—416no—
1618C2×C8—416no—
1619C2×C8C2×C4×D414yes—
1620C2×C8C2×C4×D414yes—
1621C2×C8C2×C4×D414yes—
1622C2×C8C2×C4×D414yes—
1623C2×C8D4218yes—
1624C2×C8D4218yes—
1625C2×C8C24×C412yes—
1626C2×C8C24×C412yes—
1627C2×C8C24×C418yes—
1628C2×C8C24×C411yescharacteristic
1629C2×C8C24×C411yescharacteristic
1630C2×C8C24×C411yescharacteristic
1631C2×C8C24×C411yescharacteristic
1632C2×C8C23×D414yes—
1633C2×C8C23×D418yes—
1634C2×C8C23×D412yes—
1635C2×C8C23×D412yes—
1636C2×C8C23×D414yes—
1637C2×C8C23×D414yes—
1638C2×C8C22×#4112yes—
1639C2×C8C22×#4112yes—
1640C2×C8C2×H(5,𝔽2)14yes—
1641C4⋊C4—28no—
1642C4⋊C4—28no—
1643C4⋊C4—28no—
1644C4⋊C4—28no—
1645C4⋊C4—232no—
1646C4⋊C4—24no—
1647C4⋊C4—48no—
1648C4⋊C4—44no—
1649C4⋊C4—84no—
1650C4⋊C4C2×C4×D418yes—
1651C4⋊C4C2×C4×D418yes—
1652C4⋊C4C24×C418yes—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—232no—
1656C22⋊C4—216no—
1657C22⋊C4—28no—
1658C22⋊C4—28no—
1659C22⋊C4—216no—
1660C22⋊C4—232no—
1661C22⋊C4—48no—
1662C22⋊C4—44no—
1663C22⋊C4—88no—
1664C22⋊C4C2×C4×D4116yes—
1665C22⋊C4C2×C4×D4116yes—
1666C42—24no—
1667C42—22no—
1668C42—24no—
1669C42—28no—
1670C42—28no—
1671C42—24no—
1672C42—24no—
1673C42—22no—
1674C42—22no—
1675C42—24no—
1676C42—48no—
1677C42—42no—
1678C42C2×C4×D411yescharacteristic
1679C42C2×C4×D411yescharacteristic
1680C42C2×C4×D411yescharacteristic
1681C42C2×C4×D411yescharacteristic
1682C42C2×C4×D412yes—
1683C42C2×C4×D412yes—
1684C42C24×C412yes—
1685C42C24×C412yes—
1686C42C23×D414yes—
1687C42C23×D412yes—
1688C42C23×D412yes—
1689C23—24no—
1690C23—28no—
1691C23—24no—
1692C23—24no—
1693C23—28no—
1694C23—42no—
1695C23—48no—
1696C23—432no—
1697C23—48no—
1698C23—84no—
1699C23—88no—
1700C23—832no—
1701C23C22×C4×D418yes—
1702C23C22×C4×D411yescharacteristic
1703C23C22×C4×D411yescharacteristic
1704C23D4×#4112yes—
1705C23#348112yes—
1706C23C23×#4111yescharacteristic
1707Q8—28no—
1708Q8—28no—
1709Q8—28no—
1710Q8—24no—
1711Q8—28no—
1712Q8—28no—
1713Q8—432no—
1714Q8—48no—
1715Q8C22×C4×D418yes—
1716D4—216no—
1717D4—216no—
1718D4—216no—
1719D4—28no—
1720D4—28no—
1721D4—28no—
1722D4—28no—
1723D4—28no—
1724D4—28no—
1725D4—24no—
1726D4—28no—
1727D4—48no—
1728D4—48no—
1729D4—432no—
1730D4—432no—
1731D4—432no—
1732D4—416no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—88no—
1737D4—88no—
1738D4—832no—
1739D4C22×C4×D418yes—
1740C2×C4—28no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—216no—
1745C2×C4—28no—
1746C2×C4—28no—
1747C2×C4—28no—
1748C2×C4—28no—
1749C2×C4—28no—
1750C2×C4—28no—
1751C2×C4—28no—
1752C2×C4—28no—
1753C2×C4—24no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—432no—
1761C2×C4—432no—
1762C2×C4—432no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—416no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—42no—
1772C2×C4—88no—
1773C2×C4—88no—
1774C2×C4—84no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4—168no—
1778C2×C4C22×C4×D412yes—
1779C2×C4C22×C4×D412yes—
1780C2×C4C22×C4×D412yes—
1781C2×C4C22×C4×D412yes—
1782C2×C4C22×C4×D418yes—
1783C2×C4C22×C4×D411yescharacteristic
1784C2×C4C22×C4×D411yescharacteristic
1785C2×C4C22×C4×D412yes—
1786C2×C4C22×C4×D412yes—
1787C2×C4C4×H(5,𝔽2)12yes—
1788C2×C4C4×H(5,𝔽2)12yes—
1789C2×C4C2×D4212yes—
1790C2×C4C2×D4212yes—
1791C2×C4D4×#4112yes—
1792C2×C4D4×#4112yes—
1793C2×C4D4×#4112yes—
1794C2×C4#348112yes—
1795C2×C4C25×C411yescharacteristic
1796C2×C4C24×D411yescharacteristic
1797C2×C4C24×D411yescharacteristic
1798C2×C4C23×#4111yescharacteristic
1799C2×C4C22×H(5,𝔽2)11yescharacteristic
1800C2×C4C2×#58511yescharacteristic
1801C8—28no—
1802C8—22no—
1803C8—22no—
1804C8—28no—
1805C8—28no—
1806C8—24no—
1807C8—48no—
1808C8—44no—
1809C8C22×C4×D412yes—
1810C8C22×C4×D412yes—
1811C8C22×C4×D412yes—
1812C8C22×C4×D412yes—
1813C8C2×D4218yes—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—216no—
1818C22—28no—
1819C22—28no—
1820C22—42no—
1821C22—42no—
1822C22—48no—
1823C22—416no—
1824C22—48no—
1825C22—84no—
1826C22—84no—
1827C22—88no—
1828C22—168no—
1829C22—1632no—
1830C22C4×D4212yes—
1831C22C4×D4212yes—
1832C22C23×C4×D411yescharacteristic
1833C22C2×D4×#4111yescharacteristic
1834C22C2×#348111yescharacteristic
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—28no—
1840C4—28no—
1841C4—44no—
1842C4—48no—
1843C4—48no—
1844C4—82no—
1845C4—84no—
1846C4C4×D4212yes—
1847C4C4×D4212yes—
1848C4C23×C4×D411yescharacteristic
1849C4C2×C4×H(5,𝔽2)11yescharacteristic
1850C4C22×D4211yescharacteristic
1851C4C2×D4×#4111yescharacteristic
1852C2—21no—
1853C2—21no—
1854C2—22no—
1855C2—22no—
1856C2—48no—
1857C2—48no—
1858C2—88no—
1859C2C2×C4×D4211yescharacteristic
1860C2#1057417612yes—
subgroupG/H
centerC2×C4C24×D4
commutatorC2×C4C25×C4
Frattini, cosocleC22×C4C26
socleC22C23×C4×D4
prime radical#10576101C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#2932 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #10574206C2semidirect
3. C2×#60184C2semidirect
4. #6384016C2semidirect
5. #6384013C2semidirect
6. #6382743C2semidirect
7. #6381916C2semidirect
8. #6381902C2semidirect
9. #6381460C2semidirect
10. #6380160C2semidirect
11. #6380102C2semidirect
12. #6379178C2semidirect
13. #6379114C2semidirect
14. C2×#21707C2semidirect
15. #6372971C2semidirect
16. #6372838C2semidirect
17. #6372690C2semidirect
18. C2×#20513C2semidirect
19. #6370035C2semidirect
21. C2×#3573C22semidirect
23. #61091C4semidirect
24. #61090C4semidirect
25. #61089C4semidirect
26. #61088C4semidirect
27. #61087C4semidirect
28. #61086C4semidirect
29. #61085C4semidirect
30. #61084C4semidirect
39. C2×#2957C22semidirect
40. C2×#2957C22semidirect
41. C2×#2956C22semidirect
42. C2×#2956C22semidirect
43. C2×#2955C22semidirect
44. C2×#2955C22semidirect
47. C22×#444C22semidirect
48. C22×#444C22semidirect
49. C22×#443C22semidirect
52. #60146C22semidirect
55. #60144C22semidirect
57. #60143C22semidirect
59. #60140C22semidirect
62. C2×#2932C22semidirect
64. C2×#2916C22semidirect
65. #60099C22semidirect
66. C2×#2901C22semidirect
67. #60065C22semidirect
68. C2×#2875C22semidirect
69. C2×#2875C22semidirect
71. #23180C22semidirect
72. #23179C22semidirect
73. #23020C22semidirect
74. #23019C22semidirect
75. #23017C22semidirect
76. #22888C22semidirect
77. #22887C22semidirect
78. #22688C22semidirect
79. #22686C22semidirect
80. #22669C22semidirect
81. D4×#108C22semidirect
82. #22453C22semidirect
83. #22452C22semidirect
84. #22434C22semidirect
85. #21707C22semidirect
86. #21707C22semidirect
87. #21551C22semidirect
88. #21550C22semidirect
89. #21547C22semidirect
90. #21546C22semidirect
91. #21519C22semidirect
92. #21468C22semidirect
93. #21466C22semidirect
94. #21252C22semidirect
95. #21240C22semidirect
96. C2×#1975C22semidirect
97. C2×#1974C22semidirect
98. C2×#1963C22semidirect
99. #21177C22semidirect
100. #21163C22semidirect
101. #21099C22semidirect
102. #21070C22semidirect
103. #20980C22semidirect
104. #20919C22semidirect
105. #20918C22semidirect
106. #20917C22semidirect
107. #20903C22semidirect
108. #20886C22semidirect
109. #20885C22semidirect
110. #20852C22semidirect
111. C2×#1848C22semidirect
112. #20668C22semidirect
113. #20654C22semidirect
114. #20606C22semidirect
115. #20513C22semidirect
116. #20513C22semidirect
117. #20493C22semidirect
118. #20490C22semidirect
119. C2×C4×#108C22semidirect
120. C2×#1773C22semidirect
121. C2×#1773C22semidirect
122. #20438C22semidirect
123. #20437C22semidirect
124. #20429C22semidirect
125. #20420C22semidirect
126. C2×#1764C22semidirect
127. C2×#1764C22semidirect
128. C2×#1759C22semidirect
129. #20384C22semidirect
130. #20383C22semidirect
131. C4×#408C22semidirect
132. C2×#1726C22semidirect
136. C2×#578C2×C4semidirect
137. C2×#578C2×C4semidirect
138. C2×#577C2×C4semidirect
139. C2×#577C2×C4semidirect
140. C2×#576C2×C4semidirect
141. C2×#576C2×C4semidirect
182. #3287C2×C4semidirect
183. D4×Q16C2×C4semidirect
184. #3285C2×C4semidirect
185. #3284C2×C4semidirect
186. #3283C2×C4semidirect
187. #3282C2×C4semidirect
188. D4×SD16C2×C4semidirect
189. #3280C2×C4semidirect
190. D4×D8C2×C4semidirect
191. #3278C2×C4semidirect
192. #3277C2×C4semidirect
193. #3276C2×C4semidirect
194. #3275C2×C4semidirect
195. #3274C2×C4semidirect
196. #3273C2×C4semidirect
197. #3272C2×C4semidirect
198. #3147C2×C4semidirect
199. #3147C2×C4semidirect
202. C2×#495C2×C4semidirect
203. C2×#495C2×C4semidirect
204. C2×#494C2×C4semidirect
205. C2×#493C2×C4semidirect
206. C2×#492C2×C4semidirect
207. #3061C2×C4semidirect
208. #3060C2×C4semidirect
209. #3059C2×C4semidirect
210. #3058C2×C4semidirect
211. #3057C2×C4semidirect
214. #3040C2×C4semidirect
215. #3039C2×C4semidirect
216. #3038C2×C4semidirect
217. #3037C2×C4semidirect
218. #3036C2×C4semidirect
220. #3013C2×C4semidirect
221. #3012C2×C4semidirect
222. #3011C2×C4semidirect
223. #3010C2×C4semidirect
224. #3009C2×C4semidirect
225. #3008C2×C4semidirect
237. C2×#444D4semidirect
256. C4×#135C2×C4semidirect
257. C4×#135C2×C4semidirect
258. C4×#135C2×C4semidirect
259. C4×#135C2×C4semidirect
262. C2×C4×Q16C2×C4semidirect
263. C2×C4×SD16C2×C4semidirect
264. C2×C4×D8C2×C4semidirect
547. C2×#131C2×D4semidirect
709. #444C2×D4semidirect
710. #444C2×D4semidirect
762. C2×#108C2×D4semidirect
803. C2×#104C2×D4semidirect
866. C2×#97C2×D4semidirect

Maximal subgroups

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

subgroupindex
#105761012
#105742062
C2×#601842
#63840162
#63840132
#63827432
#63819162
#63819022
#63814602
#63801602
#63801022
#63791782
#63791142
C2×#217072
#63729712
#63728382
#63726902
C2×#205132
#63700352