Finite Group Databasebeta

← #6668685

Subgroups — #6668685

Order 512.

3020 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#39433C211yesmaximal, characteristic, complemented
4#35527C211yesmaximal, characteristic, complemented
5#32884C211yesmaximal, characteristic, complemented
6#30989C211yesmaximal, characteristic, complemented
7#30988C211yesmaximal, characteristic, complemented
8#30544C211yesmaximal, characteristic, complemented
9#30519C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30458C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29716C211yesmaximal, characteristic, complemented
15#29630C211yesmaximal, characteristic, complemented
16#27282C211yesmaximal, characteristic, complemented
17#27254C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25777C211yesmaximal, characteristic, complemented
20#25721C211yesmaximal, characteristic, complemented
21#25106C211yesmaximal, characteristic, complemented
22#25076C211yesmaximal, characteristic, complemented
23#24512C211yesmaximal, characteristic, complemented
24#24390C211yesmaximal, characteristic, complemented
25#24370C211yesmaximal, characteristic, complemented
26#24362C211yesmaximal, characteristic, complemented
27#24211C211yesmaximal, characteristic, complemented
28#23945C211yesmaximal, characteristic, complemented
29#23924C211yesmaximal, characteristic, complemented
30#22560C211yesmaximal, characteristic, complemented
31#22042C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C2×#542C2211yescharacteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#127C2211yescharacteristic
40#3224—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#493C2211yescharacteristic, complemented
44C2×#493C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#460C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#459C2211yescharacteristic, complemented
55#3012—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#433C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78C2×#408C2211yescharacteristic
79#2856C2211yescharacteristic, complemented
80#2714—21no—
81#2692—21no—
82#2676—21no—
83#2671—21no—
84#2624C2211yescharacteristic, complemented
85#2615C2211yescharacteristic
86#2560—21no—
87#2555—21no—
88#2540—21no—
89#2491C2211yescharacteristic, complemented
90#2464—21no—
91#2440C2211yescharacteristic, complemented
92#2433—21no—
93#2433—21no—
94#2433C2211yescharacteristic
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2431—21no—
99#2431—21no—
100#2431C2211yescharacteristic
101#2431C2211yescharacteristic
102#2431C2211yescharacteristic
103#2431C2211yescharacteristic
104#2431C2211yescharacteristic, complemented
105#2428C2211yescharacteristic, complemented
106#2426C2211yescharacteristic, complemented
107#2423C2211yescharacteristic, complemented
108#2403—21no—
109#2403—21no—
110#2403—21no—
111#2403—21no—
112#2361C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114#2309C2211yescharacteristic
115C4×C22⋊Q8C2211yescharacteristic, complemented
116#2297C2211yescharacteristic
117#2297C2211yescharacteristic
118#2072C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1982C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1969C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1957C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1934C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1818C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1780C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204C4×C22⋊C8C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—42no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×#135—24no—
230C2×#135—42no—
231C2×#135—42no—
232C22×Q16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#542—24no—
253#542—42no—
254#537—24no—
255#537—42no—
256#535—24no—
257#535—42no—
258#535—42no—
259#535—42no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×#127—21no—
262C2×#127—21no—
263C2×#127—21no—
264C2×#127—42no—
265C2×#127—42no—
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#126—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124—21no—
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#123—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8—21no—
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C42C2311yescharacteristic
323#496—24no—
324#495—24no—
325#493—42no—
326#493—42no—
327#489—24no—
328#486—24no—
329#469—42no—
330#466—42no—
331#464—24no—
332#463—24no—
333#460—24no—
334#460—42no—
335#460—42no—
336#459—24no—
337#452—24no—
338#452D418yescomplemented
339#450—24no—
340#450—24no—
341#450—24no—
342#449—24no—
343#449—24no—
344#449—24no—
345#449—42no—
346#449—42no—
347#449—42no—
348#449—42no—
349#447—24no—
350#447—24no—
351#447—24no—
352#447—42no—
353#447—42no—
354#447—42no—
355#447—42no—
356#433—24no—
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363#417—24no—
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#102—24no—
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401#408—24no—
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416#399—21no—
417#399—21no—
418#398—21no—
419#398—21no—
420#397—21no—
421#396—21no—
422#395—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#393—21no—
429#393—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#391D411yescharacteristic
453#391D411yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390D411yescharacteristic
465#390D411yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#387—21no—
484#387—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386D411yescharacteristic
500#386D411yescharacteristic
501#386D411yescharacteristic
502#386D411yescharacteristic
503#385—21no—
504#385—21no—
505#385—21no—
506#384C2311yescharacteristic
507#380—21no—
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#379—21no—
512#379—21no—
513C4×C4⋊C4—21no—
514C4×C4⋊C4C2311yescharacteristic
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546H(5,𝔽2)—416no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—44no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41C2×D414yes—
580C22×Q8—21no—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4—44no—
646C22×D4—44no—
647C22×D4—44no—
648C22×D4—44no—
649C22×D4—44no—
650C22×D4—82no—
651C22×D4—82no—
652C22×D4—82no—
653C22×D4—82no—
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C22×D4C2411yescharacteristic
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4C2×D411yescharacteristic
671C23×C4C2×D411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675AGL(1,ℤ/8)—416no—
676#135—416no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×Q16C2×D414yescomplemented
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16C2×D414yescomplemented
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×M16—22no—
732C2×M16—22no—
733C2×M16—41no—
734C22×C8—22no—
735C22×C8—22no—
736C22×C8—41no—
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C4⋊Q8—22no—
746C4⋊Q8—41no—
747#127—22no—
748#127—22no—
749#127—22no—
750#127—22no—
751#127—22no—
752#127—22no—
753#127—41no—
754#127—41no—
755#127—41no—
756#127—41no—
757#127—41no—
758#127—41no—
759#127—41no—
760#127—41no—
761#127—44no—
762#127—44no—
763#127—44no—
764#126—44no—
765#124—22no—
766#124—22no—
767#124—22no—
768#124—41no—
769#124—41no—
770#124—41no—
771#124—44no—
772#124—44no—
773#124—82no—
774#123—44no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—44no—
778C22⋊Q8—41no—
779C22⋊Q8—44no—
780C22⋊Q8—82no—
781C22⋊Q8C2×D414yes—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—44no—
794#121—44no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—44no—
801#121—44no—
802#121—44no—
803#121—41no—
804#121—41no—
805#121—82no—
806#121—82no—
807#121—82no—
808#120—44no—
809#120—44no—
810#120—44no—
811#120—44no—
812#120—82no—
813#120—82no—
814#120—82no—
815#120—82no—
816#120—82no—
817#120—82no—
818#120—82no—
819#120—82no—
820C4×Q8—22no—
821C4×Q8—41no—
822C4×Q8—41no—
823C4×Q8—41no—
824C4×D4—22no—
825C4×D4—41no—
826C4×D4—82no—
827#117—22no—
828#117—22no—
829#117—41no—
830#117—41no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—22no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—41no—
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—41no—
910C2×C42—41no—
911C2×C42C2×D411yescharacteristic
912C2×C42C2×D411yescharacteristic
913C2×C42C2411yescharacteristic
914C2×C42C2411yescharacteristic
915C2×C42C2411yescharacteristic
916C2×C42C2411yescharacteristic
917#107—41no—
918#106—41no—
919C4⋊C8—22no—
920C4⋊C8—22no—
921C4⋊C8—41no—
922C4⋊C8—41no—
923#103—22no—
924#103—22no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103C2×D414yescomplemented
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102—41no—
955#102—41no—
956#102—41no—
957#102—41no—
958#102C2×D414yescomplemented
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8C2×D414yes—
969#97—22no—
970C4×C8—22no—
971C4×C8—41no—
972C4×C8—41no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988#95C2×D411yescharacteristic
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992#95C2×D411yescharacteristic
993#95C2×D411yescharacteristic
994C24—24no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24C22×D411yescharacteristic
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032#41—28no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—44no—
1043#41—44no—
1044#41—44no—
1045#41—44no—
1046#41—44no—
1047#41—44no—
1048#41—44no—
1049#41—432no—
1050#41—44no—
1051#41—82no—
1052#41—82no—
1053C2×Q8—22no—
1054C2×Q8—22no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—81no—
1068C2×Q8—81no—
1069C2×Q8C22×D412yes—
1070C2×Q8C22×D412yes—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—432no—
1164C2×D4—432no—
1165C2×D4—432no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
1190C2×D4—82no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—816no—
1215C2×D4—816no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4C22×D412yes—
1234C2×D4H(5,𝔽2)12yes—
1235C2×D4H(5,𝔽2)12yes—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4—81no—
1281C22×C4—81no—
1282C22×C4—81no—
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C22×D411yescharacteristic
1290C22×C4C22×D411yescharacteristic
1291C22×C4C22×D412yes—
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D411yescharacteristic
1295C22×C4H(5,𝔽2)12yes—
1296C22×C4H(5,𝔽2)12yes—
1297C22×C4H(5,𝔽2)12yes—
1298C22×C4C2511yescharacteristic
1299Q16—44no—
1300SD16—44no—
1301SD16—44no—
1302SD16—44no—
1303SD16—44no—
1304SD16—82no—
1305SD16—82no—
1306SD16—82no—
1307D8—44no—
1308D8—44no—
1309D8—44no—
1310D8—82no—
1311D8—82no—
1312D8—82no—
1313D8—82no—
1314D8—82no—
1315D8—82no—
1316D8—82no—
1317M16—44no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—44no—
1341C2×C8C22×D412yes—
1342C2×C8C22×D412yes—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—81no—
1366C4⋊C4—81no—
1367C4⋊C4—81no—
1368C4⋊C4—81no—
1369C4⋊C4C22×D412yes—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—41no—
1431C42—41no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—81no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—48no—
1459C23—48no—
1460C23—48no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23#53512yes—
1533C23D4212yes—
1534C23C23×D411yescharacteristic
1535Q8—22no—
1536Q8—22no—
1537Q8—22no—
1538Q8—22no—
1539Q8—44no—
1540Q8—41no—
1541Q8—41no—
1542Q8—41no—
1543Q8—41no—
1544Q8—162no—
1545D4—22no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—22no—
1550D4—22no—
1551D4—44no—
1552D4—44no—
1553D4—48no—
1554D4—48no—
1555D4—44no—
1556D4—48no—
1557D4—48no—
1558D4—48no—
1559D4—48no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—162no—
1594D4—162no—
1595D4—162no—
1596D4—162no—
1597D4—162no—
1598D4—162no—
1599D4—162no—
1600D4—162no—
1601D4—162no—
1602D4—162no—
1603D4—162no—
1604D4—162no—
1605D4—162no—
1606D4—162no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—84no—
1680C2×C4—162no—
1681C2×C4—162no—
1682C2×C4#53512yes—
1683C2×C4D4212yes—
1684C2×C4#57612yes—
1685C2×C4#57612yes—
1686C2×C4#57712yes—
1687C2×C4C23×D411yescharacteristic
1688C2×C4C2×H(5,𝔽2)11yescharacteristic
1689C2×C4C2×H(5,𝔽2)11yescharacteristic
1690C2×C4C2×H(5,𝔽2)11yescharacteristic
1691C2×C4C2×H(5,𝔽2)11yescharacteristic
1692C2×C4C2×H(5,𝔽2)11yescharacteristic
1693C8—22no—
1694C8—22no—
1695C8—41no—
1696C8—41no—
1697C8—41no—
1698C8—41no—
1699C8—41no—
1700C8—41no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—42no—
1729C22—42no—
1730C22—41no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—168no—
1772C22—168no—
1773C22—168no—
1774C22—168no—
1775C22C2×#53511yescharacteristic
1776C22C2×D4211yescharacteristic
1777C22#348411yescharacteristic
1778C22C2×#57611yescharacteristic
1779C22C2×#57611yescharacteristic
1780C22C2×#57711yescharacteristic
1781C22#358511yescharacteristic
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—81no—
1797C4—81no—
1798C4—81no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4#348411yescharacteristic
1803C4#348411yescharacteristic
1804C4#353211yescharacteristic
1805C4#353211yescharacteristic
1806C2—42no—
1807C2—42no—
1808C2—81no—
1809C2—82no—
1810C2—82no—
1811C2—82no—
1812C2—161no—
1813C2—161no—
1814C2—161no—
1815C2—161no—
1816C2#3764511yescharacteristic
1817C2#6082211yescharacteristic
1818C2#6083211yescharacteristic
1819C2#6108911yescharacteristic
1820C2#6109511yescharacteristic
1821C2#6160911yescharacteristic
1822C2#6162911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3224C2semidirect
2. C2×#3012C2semidirect
3. #39433C2semidirect
4. #35527C2semidirect
5. #32884C2semidirect
6. #30989C2semidirect
7. #30988C2semidirect
8. #30544C2semidirect
9. #30519C2semidirect
10. #30472C2semidirect
11. #30458C2semidirect
12. #30447C2semidirect
13. #30444C2semidirect
14. #29716C2semidirect
15. #29630C2semidirect
16. #27282C2semidirect
17. #27254C2semidirect
18. #25794C2semidirect
19. #25777C2semidirect
20. #25721C2semidirect
21. #25106C2semidirect
22. #25076C2semidirect
23. #24512C2semidirect
24. #24390C2semidirect
25. #24370C2semidirect
26. #24362C2semidirect
27. #24211C2semidirect
28. #23945C2semidirect
29. #23924C2semidirect
30. #22560C2semidirect
31. #22042C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×#135C22semidirect
35. C2×#542C22semidirect
41. C2×#496C22semidirect
42. C2×#495C22semidirect
43. C2×#493C22semidirect
44. C2×#493C22semidirect
45. C2×#489C22semidirect
46. C2×#486C22semidirect
47. C2×#469C22semidirect
48. C2×#466C22semidirect
49. C2×#464C22semidirect
50. C2×#460C22semidirect
51. C2×#460C22semidirect
52. C2×#460C22semidirect
53. C2×#463C22semidirect
54. C2×#459C22semidirect
57. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#433C22semidirect
76. C2×#417C22semidirect
77. C22×#102C22semidirect
79. #2856C22semidirect
84. #2624C22semidirect
89. #2491C22semidirect
91. #2440C22semidirect
104. #2431C22semidirect
105. #2428C22semidirect
106. #2426C22semidirect
107. #2423C22semidirect
112. #2361C22semidirect
113. #2341C22semidirect
115. C4×C22⋊Q8C22semidirect
118. #2072C22semidirect
119. #2071C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2023C22semidirect
137. #2023C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1982C22semidirect
159. #1982C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1969C22semidirect
163. #1968C22semidirect
164. #1957C22semidirect
165. #1957C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1934C22semidirect
169. #1933C22semidirect
170. #1927C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1893C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1878C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1874C22semidirect
187. #1874C22semidirect
188. #1873C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1818C22semidirect
193. #1797C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. C4×C22⋊C8C22semidirect
338. #452D4semidirect
679. C2×Q16C2×D4semidirect
700. C2×SD16C2×D4semidirect
929. #103C2×D4semidirect
958. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#30122
#394332
#355272
#328842
#309892
#309882
#305442
#305192
#304722
#304582
#304472
#304442
#297162
#296302
#272822
#272542
#257942
#257772
#257212
#251062
#250762
#245122
#243902
#243702
#243622
#242112
#239452
#239242
#225602
#220422