Finite Group Databasebeta

← #6668098

Subgroups — #6668098

Order 512.

2850 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3200C211yesmaximal, characteristic, complemented
2C2×#3009C211yesmaximal, characteristic, complemented
3#39343C211yesmaximal, characteristic, complemented
4#35513C211yesmaximal, characteristic
5#32886C211yesmaximal, characteristic, complemented
6#31067C211yesmaximal, characteristic, complemented
7#31065C211yesmaximal, characteristic, complemented
8#31044C211yesmaximal, characteristic, complemented
9#31038C211yesmaximal, characteristic, complemented
10#30510C211yesmaximal, characteristic, complemented
11#30504C211yesmaximal, characteristic, complemented
12#30426C211yesmaximal, characteristic, complemented
13#30404C211yesmaximal, characteristic, complemented
14#29714C211yesmaximal, characteristic, complemented
15#29604C211yesmaximal, characteristic, complemented
16#28317C211yesmaximal, characteristic, complemented
17#28125C211yesmaximal, characteristic, complemented
18#25129C211yesmaximal, characteristic, complemented
19#25120C211yesmaximal, characteristic, complemented
20#24886C211yesmaximal, characteristic, complemented
21#24874C211yesmaximal, characteristic, complemented
22#24563C211yesmaximal, characteristic, complemented
23#24393C211yesmaximal, characteristic, complemented
24#24274C211yesmaximal, characteristic, complemented
25#24269C211yesmaximal, characteristic, complemented
26#24016C211yesmaximal, characteristic, complemented
27#23927C211yesmaximal, characteristic, complemented
28#23868C211yesmaximal, characteristic, complemented
29#23855C211yesmaximal, characteristic, complemented
30#22403C211yesmaximal, characteristic, complemented
31#22049C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C23×SD16C2211yescharacteristic
35C2×D4×Q8C2211yescharacteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40C2×#532C2211yescharacteristic
41#3200—28no—
42C2×#485C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#485C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#467C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53#3009—28no—
54C2×#452C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic
61C2×#451C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic
71C2×#450C2211yescharacteristic
72C2×#435C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic
75C2×#416C2211yescharacteristic
76C2×#408C2211yescharacteristic
77C2×#408C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2674—21no—
80#2674—21no—
81#2672—21no—
82#2672—21no—
83#2616C2211yescharacteristic
84#2616C2211yescharacteristic, complemented
85#2551—21no—
86#2542C2211yescharacteristic, complemented
87#2538C2211yescharacteristic, complemented
88#2491—21no—
89#2445—21no—
90#2435—21no—
91#2433—21no—
92#2432—21no—
93#2431—21no—
94#2422—21no—
95#2415C2211yescharacteristic, complemented
96#2415C2211yescharacteristic, complemented
97#2410—21no—
98#2410—21no—
99#2410—21no—
100#2410—21no—
101#2409C2211yescharacteristic, complemented
102#2409C2211yescharacteristic, complemented
103#2408C2211yescharacteristic
104#2408C2211yescharacteristic
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic
111#2354C2211yescharacteristic, complemented
112#2311C2211yescharacteristic
113C4×C22⋊Q8C2211yescharacteristic, complemented
114#2297C2211yescharacteristic
115C2×#390C2211yescharacteristic
116#2095C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2071C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2055C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1971C2211yescharacteristic, complemented
161#1971C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1955C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1927C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1925C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1808C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1780C2211yescharacteristic
203#1780C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, 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×Q8C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—42no—
227C2×#137—42no—
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×SD16—24no—
232C22×SD16—42no—
233C22×SD16—42no—
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C23×C8C2311yescharacteristic
246C23×C8C2311yescharacteristic
247D4×Q8—42no—
248D4×Q8—42no—
249#537—42no—
250#537—42no—
251#536—24no—
252#536—24no—
253#536—42no—
254#536—42no—
255#535—24no—
256#535—42no—
257#532—42no—
258#532—42no—
259C2×C4⋊Q8—21no—
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8—21no—
262C2×C4⋊Q8D411yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#127—21no—
265C2×#127D411yescharacteristic
266C2×#124—21no—
267C2×#124—21no—
268C2×#124—21no—
269C2×#124D411yescharacteristic
270C2×#124D411yescharacteristic
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×#123—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8—21no—
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121D411yescharacteristic
295C2×#121D411yescharacteristic
296C2×#121D411yescharacteristic
297C2×#121D411yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322C22×C42C2311yescharacteristic
323#485—24no—
324#485—24no—
325#485—42no—
326#482—24no—
327#482—24no—
328#468—24no—
329#468—24no—
330#468—42no—
331#467—42no—
332#465—24no—
333#465—24no—
334#452—24no—
335#452—24no—
336#452—24no—
337#452—24no—
338#452—42no—
339#452—42no—
340#452—42no—
341#451—42no—
342#450—24no—
343#450—24no—
344#450—24no—
345#450—24no—
346#450—42no—
347#450—42no—
348#450D418yescomplemented
349#448—24no—
350#448—24no—
351#448—42no—
352#435—42no—
353#435—42no—
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364#418—24no—
365#416—24no—
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
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
398#408—24no—
399#408—24no—
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×#97C2311yescharacteristic
417C2×#97C2311yescharacteristic
418#399—21no—
419#399—21no—
420#397—21no—
421#397—21no—
422#396—21no—
423#396—21no—
424#395—21no—
425#395—21no—
426#395—21no—
427#395—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#393—21no—
445#393—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#391—21no—
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#389—21no—
473#389—21no—
474#389—21no—
475#389—21no—
476#389—21no—
477#389C2311yescharacteristic
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#387—21no—
483#386—21no—
484#386—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#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#384—21no—
501#384C2311yescharacteristic
502#380—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C4⋊C4—21no—
518C4×C4⋊C4—21no—
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4—21no—
521C4×C22⋊C4—21no—
522C4×C22⋊C4—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542H(5,𝔽2)—416no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546C2×#41—22no—
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—22no—
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—41no—
575C2×#41—41no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—44no—
579C22×Q8—21no—
580C22×Q8—21no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8C2×D411yescharacteristic
594C22×Q8C2×D411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—21no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—21no—
605C22×D4—21no—
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—22no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D414yes—
647C22×D4C2×D411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4C2×D411yescharacteristic
658C23×C4C2×D411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664#137—416no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
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—416no—
700C2×SD16C2×D414yes—
701C2×SD16C2×D414yes—
702C2×M16—22no—
703C2×M16—22no—
704C2×M16—22no—
705C2×M16—41no—
706C2×M16—41no—
707C2×M16—41no—
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—41no—
712C22×C8—41no—
713C22×C8—41no—
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C4⋊Q8—41no—
723C4⋊Q8—41no—
724C4⋊Q8—42no—
725C4⋊Q8—44no—
726C4⋊Q8—44no—
727C4⋊Q8—44no—
728#127—42no—
729#127—44no—
730#124—42no—
731#124—42no—
732#124—44no—
733#124—44no—
734#124—44no—
735#123—44no—
736#123—44no—
737#123—44no—
738#123—44no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—44no—
753C22⋊Q8—44no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—44no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8C2×D414yes—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—42no—
775#121—42no—
776#121—42no—
777#121—42no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—44no—
785#121—44no—
786#121—44no—
787#120—44no—
788#120—44no—
789#120—82no—
790#120—82no—
791#120—82no—
792#120—82no—
793C4×Q8—41no—
794C4×Q8—41no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—44no—
804#117—22no—
805#117—22no—
806#117—22no—
807#117—22no—
808#117—41no—
809#117—41no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—41no—
831C2×C4⋊C4—41no—
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
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—82no—
889C2×C22⋊C4—82no—
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—41no—
904C2×C42—41no—
905C2×C42C2×D411yescharacteristic
906C2×C42C2×D411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#107—22no—
910#107—22no—
911#107—41no—
912#107—41no—
913#107—41no—
914#106—22no—
915#106—22no—
916#106—41no—
917C4⋊C8—41no—
918C4⋊C8—41no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103—41no—
930#103—41no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103—41no—
935#103—41no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102C2×D414yes—
950#102C2×D414yes—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8C2×D414yes—
967#97—41no—
968#97—41no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
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#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—24no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017C24C22×D411yescharacteristic
1018C24C22×D411yescharacteristic
1019#41—28no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—432no—
1035#41—44no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040C2×Q8—22no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
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—41no—
1067C2×Q8—41no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—42no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8—82no—
1077C2×Q8—82no—
1078C2×Q8—82no—
1079C2×Q8—82no—
1080C2×Q8—82no—
1081C2×Q8—82no—
1082C2×Q8C22×D412yes—
1083C2×Q8H(5,𝔽2)12yes—
1084C2×D4—28no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—24no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
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—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—432no—
1156C2×D4—432no—
1157C2×D4—432no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4C22×D412yes—
1181C2×D4C22×D412yes—
1182C2×D4H(5,𝔽2)12yes—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—24no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—22no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D412yes—
1255C22×C4C22×D411yescharacteristic
1256C22×C4H(5,𝔽2)12yes—
1257C22×C4H(5,𝔽2)12yes—
1258C22×C4H(5,𝔽2)12yes—
1259C22×C4C2511yescharacteristic
1260Q16—44no—
1261Q16—44no—
1262Q16—82no—
1263SD16—44no—
1264SD16—44no—
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—44no—
1269SD16—82no—
1270SD16—82no—
1271SD16—82no—
1272M16—44no—
1273M16—82no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—44no—
1297C2×C8—82no—
1298C2×C8C22×D412yes—
1299C2×C8C22×D412yes—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—81no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4C22×D412yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—21no—
1397C42—41no—
1398C42—41no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—48no—
1441C23—48no—
1442C23—48no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—84no—
1462C23—84no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23#53412yes—
1480C23D4212yes—
1481C23C23×D411yescharacteristic
1482Q8—22no—
1483Q8—22no—
1484Q8—22no—
1485Q8—22no—
1486Q8—44no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—82no—
1500Q8—84no—
1501Q8—84no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—22no—
1506D4—22no—
1507D4—22no—
1508D4—44no—
1509D4—44no—
1510D4—44no—
1511D4—48no—
1512D4—48no—
1513D4—44no—
1514D4—48no—
1515D4—48no—
1516D4—48no—
1517D4—48no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—82no—
1525D4—82no—
1526D4—82no—
1527D4—82no—
1528D4—82no—
1529D4—82no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—82no—
1623C2×C4—82no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—162no—
1627C2×C4#53412yes—
1628C2×C4D4212yes—
1629C2×C4#57712yes—
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C8—22no—
1637C8—22no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C8—41no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—168no—
1701C22—168no—
1702C22—168no—
1703C22C2×#53411yescharacteristic
1704C22C2×D4211yescharacteristic
1705C22#348411yescharacteristic
1706C22C2×#57711yescharacteristic
1707C22#358511yescharacteristic
1708C22#358611yescharacteristic
1709C22#358611yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—81no—
1723C4—81no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4#348411yescharacteristic
1733C4#348411yescharacteristic
1734C4#353211yescharacteristic
1735C4#353211yescharacteristic
1736C2—42no—
1737C2—42no—
1738C2—81no—
1739C2—81no—
1740C2—81no—
1741C2—82no—
1742C2—82no—
1743C2—82no—
1744C2#3764411yescharacteristic
1745C2#6075811yescharacteristic
1746C2#6077211yescharacteristic
1747C2#6108011yescharacteristic
1748C2#6109411yescharacteristic
1749C2#6167411yescharacteristic
1750C2#6168911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35513C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3200C2semidirect
2. C2×#3009C2semidirect
3. #39343C2semidirect
5. #32886C2semidirect
6. #31067C2semidirect
7. #31065C2semidirect
8. #31044C2semidirect
9. #31038C2semidirect
10. #30510C2semidirect
11. #30504C2semidirect
12. #30426C2semidirect
13. #30404C2semidirect
14. #29714C2semidirect
15. #29604C2semidirect
16. #28317C2semidirect
17. #28125C2semidirect
18. #25129C2semidirect
19. #25120C2semidirect
20. #24886C2semidirect
21. #24874C2semidirect
22. #24563C2semidirect
23. #24393C2semidirect
24. #24274C2semidirect
25. #24269C2semidirect
26. #24016C2semidirect
27. #23927C2semidirect
28. #23868C2semidirect
29. #23855C2semidirect
30. #22403C2semidirect
31. #22049C2semidirect
35. C2×D4×Q8C22semidirect
38. C2×#536C22semidirect
42. C2×#485C22semidirect
43. C2×#485C22semidirect
44. C2×#485C22semidirect
45. C2×#482C22semidirect
46. C2×#482C22semidirect
47. C2×#468C22semidirect
48. C2×#468C22semidirect
49. C2×#468C22semidirect
50. C2×#467C22semidirect
51. C2×#465C22semidirect
52. C2×#465C22semidirect
61. C2×#451C22semidirect
62. C2×#448C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
72. C2×#435C22semidirect
73. C2×#435C22semidirect
77. C2×#408C22semidirect
78. #2857C22semidirect
84. #2616C22semidirect
86. #2542C22semidirect
87. #2538C22semidirect
95. #2415C22semidirect
96. #2415C22semidirect
101. #2409C22semidirect
102. #2409C22semidirect
111. #2354C22semidirect
113. C4×C22⋊Q8C22semidirect
116. #2095C22semidirect
117. #2094C22semidirect
118. #2077C22semidirect
119. #2075C22semidirect
120. #2071C22semidirect
121. #2071C22semidirect
122. #2068C22semidirect
123. #2065C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2055C22semidirect
129. #2055C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2036C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2016C22semidirect
143. #2013C22semidirect
144. #2013C22semidirect
145. #2013C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1973C22semidirect
159. #1973C22semidirect
160. #1971C22semidirect
161. #1971C22semidirect
162. #1955C22semidirect
163. #1955C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1927C22semidirect
167. #1925C22semidirect
168. #1925C22semidirect
169. #1925C22semidirect
170. #1894C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1878C22semidirect
178. #1875C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1852C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1808C22semidirect
193. #1797C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
203. #1780C22semidirect
204. #1749C22semidirect
348. #450D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32002
C2×#30092
#393432
#355132
#328862
#310672
#310652
#310442
#310382
#305102
#305042
#304262
#304042
#297142
#296042
#283172
#281252
#251292
#251202
#248862
#248742
#245632
#243932
#242742
#242692
#240162
#239272
#238682
#238552
#224032
#220492