Finite Group Databasebeta

← #6810184

Subgroups — #6810184

Order 512.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3203C211yesmaximal, characteristic, complemented
2C2×#3191C211yesmaximal, characteristic, complemented
3#37657C211yesmaximal, characteristic, complemented
4#35518C211yesmaximal, characteristic, complemented
5#32913C211yesmaximal, characteristic, complemented
6#30588C211yesmaximal, characteristic, complemented
7#30571C211yesmaximal, characteristic, complemented
8#30560C211yesmaximal, characteristic, complemented
9#30557C211yesmaximal, characteristic, complemented
10#30413C211yesmaximal, characteristic, complemented
11#30409C211yesmaximal, characteristic, complemented
12#30405C211yesmaximal, characteristic, complemented
13#30401C211yesmaximal, characteristic, complemented
14#29606C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28236C211yesmaximal, characteristic, complemented
17#28226C211yesmaximal, characteristic, complemented
18#27923C211yesmaximal, characteristic, complemented
19#27656C211yesmaximal, characteristic, complemented
20#25402C211yesmaximal, characteristic, complemented
21#25384C211yesmaximal, characteristic, complemented
22#25028C211yesmaximal, characteristic, complemented
23#25019C211yesmaximal, characteristic, complemented
24#24565C211yesmaximal, characteristic, complemented
25#24550C211yesmaximal, characteristic, complemented
26#24250C211yesmaximal, characteristic, complemented
27#24242C211yesmaximal, characteristic, complemented
28#24017C211yesmaximal, characteristic, complemented
29#24007C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21465C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#537C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#3203—28no—
40#3191—28no—
41C2×#484C2211yescharacteristic
42C2×#484C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic
44C2×#485C2211yescharacteristic
45C2×#485C2211yescharacteristic
46C2×#482C2211yescharacteristic
47C2×#482C2211yescharacteristic
48C2×#482C2211yescharacteristic
49C2×#480C2211yescharacteristic
50C2×#480C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#467C2211yescharacteristic
54C2×#467C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic
59C2×#460C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic
62C2×#452C2211yescharacteristic
63C2×#452C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic, complemented
68C2×#440C2211yescharacteristic, complemented
69C2×C4×Q16C2211yescharacteristic, complemented
70C2×#435C2211yescharacteristic
71C2×C8×D4C2211yescharacteristic
72C2×#408C2211yescharacteristic
73C22×C22⋊C8C2211yescharacteristic
74#2847C2211yescharacteristic
75#2681—21no—
76#2673—21no—
77#2669—21no—
78#2669—21no—
79#2619C2211yescharacteristic
80#2615C2211yescharacteristic
81#2541C2211yescharacteristic
82#2538C2211yescharacteristic
83#2538C2211yescharacteristic
84#2537C2211yescharacteristic
85#2537C2211yescharacteristic
86#2536C2211yescharacteristic
87#2536C2211yescharacteristic
88#2536C2211yescharacteristic
89#2535C2211yescharacteristic
90#2535C2211yescharacteristic
91#2464—21no—
92#2463—21no—
93#2456—21no—
94#2428—21no—
95#2425—21no—
96#2425—21no—
97#2424—21no—
98#2424—21no—
99#2417—21no—
100#2416—21no—
101#2416C2211yescharacteristic
102#2415—21no—
103#2414—21no—
104#2414C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2352C2211yescharacteristic
108#2323C2211yescharacteristic
109#2317C2211yescharacteristic
110#2311C2211yescharacteristic
111C2×#380C2211yescharacteristic
112#2094C2211yescharacteristic, complemented
113#2093C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2083C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic
121#2075C2211yescharacteristic
122#2074C2211yescharacteristic, complemented
123#2072C2211yescharacteristic, complemented
124#2036C2211yescharacteristic
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic
127#2035C2211yescharacteristic
128#2035C2211yescharacteristic
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic
138#2033C2211yescharacteristic
139#2033C2211yescharacteristic
140#2033C2211yescharacteristic
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2033C2211yescharacteristic, complemented
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1955C2211yescharacteristic
155#1954C2211yescharacteristic
156#1949C2211yescharacteristic, complemented
157#1947C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1878C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1872C2211yescharacteristic
171#1870C2211yescharacteristic
172#1869C2211yescharacteristic
173#1869C2211yescharacteristic
174#1869C2211yescharacteristic
175#1863C2211yescharacteristic, complemented
176#1862C2211yescharacteristic, complemented
177#1854C2211yescharacteristic
178#1854C2211yescharacteristic
179#1853C2211yescharacteristic, complemented
180#1852C2211yescharacteristic
181#1852C2211yescharacteristic, complemented
182#1847C2211yescharacteristic, complemented
183#1846C2211yescharacteristic, complemented
184#1825C2211yescharacteristic
185#1823C2211yescharacteristic
186#1809C2211yescharacteristic, complemented
187#1808C2211yescharacteristic
188#1808C2211yescharacteristic
189#1808C2211yescharacteristic, complemented
190#1805C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1798C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1780C2211yescharacteristic
201#1779C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#550—42no—
221#550—42no—
222#537—24no—
223#537—24no—
224#537—42no—
225#537—42no—
226C2×#127—21no—
227C2×#127—21no—
228C2×#127C2311yescharacteristic
229#525—24no—
230#525—24no—
231#525—42no—
232#525—42no—
233#525—42no—
234#525—42no—
235C2×#123—21no—
236C2×#123—21no—
237C2×#123D411yescharacteristic
238C2×#123D411yescharacteristic
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8D411yescharacteristic
242C2×C22⋊Q8D411yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121D411yescharacteristic
262C2×#121D411yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120D411yescharacteristic
279C2×#120D411yescharacteristic
280#520—42no—
281#520—42no—
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×#117—21no—
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C22×C4⋊C4—21no—
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—21no—
307#485—24no—
308#485—24no—
309#484—24no—
310#484—24no—
311#482—24no—
312#482—24no—
313#482—42no—
314#481—42no—
315#480—24no—
316#480—24no—
317#468—24no—
318#468—24no—
319#467—24no—
320#467—24no—
321#466—24no—
322#466—24no—
323#465—24no—
324#465—24no—
325#460—42no—
326#459—42no—
327#452—24no—
328#452—24no—
329#452D418yescomplemented
330#449—24no—
331#449—24no—
332#449—24no—
333#449—24no—
334#440—42no—
335C4×Q16—42no—
336#435—42no—
337C8×D4—42no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382#408—24no—
383C2×C22⋊C8—24no—
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402#398—21no—
403#398—21no—
404#398—21no—
405#397—21no—
406#397—21no—
407#396—21no—
408#396—21no—
409#396—21no—
410#396—21no—
411#396—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#393—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—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#391—21no—
439#391C2311yescharacteristic
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#389—21no—
448#389—21no—
449#389—21no—
450#389—21no—
451#389—21no—
452#389C2311yescharacteristic
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#387—21no—
464#387—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#384C2311yescharacteristic
483#384C2311yescharacteristic
484#382C2311yescharacteristic
485#382C2311yescharacteristic
486#382C2311yescharacteristic
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C22⋊C4—21no—
506C2×#95—21no—
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25C2×D411yescharacteristic
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41C2×D414yes—
552C22×Q8C2×D411yescharacteristic
553C22×Q8C2411yescharacteristic
554C22×Q8C2411yescharacteristic
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4C2×D411yescharacteristic
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C23×C4—21no—
583C23×C4—22no—
584C23×C4—22no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4C2×D411yescharacteristic
597C23×C4C2×D411yescharacteristic
598C23×C4C2×D411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C2×Q16—41no—
605C2×Q16—41no—
606C2×Q16C2×D414yes—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16C2×D414yes—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×M16—22no—
623C2×M16—41no—
624C2×M16—41no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642#127—22no—
643#127—22no—
644#127—44no—
645#127—82no—
646#123—42no—
647#123—42no—
648#123—44no—
649#123—44no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—22no—
654C22⋊Q8—22no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—42no—
658C22⋊Q8—42no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—44no—
666C22⋊Q8—44no—
667C22⋊Q8C2×D414yes—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—42no—
679#121—42no—
680#121—44no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—44no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—82no—
703#121—82no—
704#121—82no—
705#120—42no—
706#120—42no—
707#120—44no—
708#120—44no—
709#120—82no—
710C4×Q8—22no—
711C4×Q8—22no—
712C4×Q8—22no—
713C4×Q8—22no—
714C4×Q8—41no—
715C4×Q8—41no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—44no—
729C4×D4—44no—
730C4×D4—44no—
731C4×D4—44no—
732C4×D4—44no—
733C4×D4—44no—
734C4×D4—44no—
735#117—22no—
736#117—22no—
737#117—22no—
738#117—22no—
739#117—22no—
740#117—41no—
741#117—44no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—22no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—41no—
764C2×C4⋊C4—41no—
765C2×C4⋊C4—41no—
766C2×C4⋊C4—44no—
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—82no—
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C42—21no—
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843#107—22no—
844#107—22no—
845#107—22no—
846#107—22no—
847#107—22no—
848#107—22no—
849#107—41no—
850#107—41no—
851#107—41no—
852#106—22no—
853#106—22no—
854#106—41no—
855#106—41no—
856#106—41no—
857C4⋊C8—22no—
858C4⋊C8—22no—
859#103—22no—
860#103—22no—
861#103—22no—
862#103—22no—
863#103—22no—
864#103—22no—
865#103—41no—
866#103—41no—
867#103—41no—
868#103—41no—
869#103C2×D414yes—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102C2×D414yes—
887C22⋊C8—22no—
888C22⋊C8—22no—
889C22⋊C8—22no—
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8C2×D414yes—
903#97—22no—
904C4×C8—22no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928C24—21no—
929C24—22no—
930C24—22no—
931C24—21no—
932C24—21no—
933C24—41no—
934C24—41no—
935C24—41no—
936C24—41no—
937C24—41no—
938C24C22×D411yescharacteristic
939C24C22×D411yescharacteristic
940C24C22×D411yescharacteristic
941C24C22×D411yescharacteristic
942C24C22×D411yescharacteristic
943#41—44no—
944#41—44no—
945#41—44no—
946#41—44no—
947#41—82no—
948#41—82no—
949#41—82no—
950#41—82no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959C2×Q8—22no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—41no—
971C2×Q8—41no—
972C2×Q8C22×D412yes—
973C2×Q8C22×D412yes—
974C2×D4—24no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4C22×D412yes—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—22no—
1072C22×C4—24no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—82no—
1127C22×C4—82no—
1128C22×C4—82no—
1129C22×C4—82no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4—81no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D412yes—
1152C22×C4H(5,𝔽2)12yes—
1153C22×C4C2511yescharacteristic
1154Q16—44no—
1155SD16—44no—
1156SD16—82no—
1157SD16—82no—
1158D8—82no—
1159D8—82no—
1160M16—82no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—82no—
1184C2×C8—82no—
1185C2×C8—82no—
1186C2×C8C22×D412yes—
1187C2×C8C22×D412yes—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—24no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—81no—
1229C4⋊C4—81no—
1230C4⋊C4—81no—
1231C4⋊C4—81no—
1232C4⋊C4—81no—
1233C4⋊C4C22×D412yes—
1234C22⋊C4—24no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C42—21no—
1285C42—21no—
1286C42—42no—
1287C42—42no—
1288C42—42no—
1289C42—42no—
1290C42—42no—
1291C42—81no—
1292C42H(5,𝔽2)12yes—
1293C42H(5,𝔽2)12yes—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—22no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—44no—
1329C23—44no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23D4212yes—
1356C23#57612yes—
1357C23C23×D411yescharacteristic
1358Q8—22no—
1359Q8—22no—
1360Q8—22no—
1361Q8—22no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—82no—
1367D4—22no—
1368D4—22no—
1369D4—44no—
1370D4—48no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—82no—
1382D4—82no—
1383D4—84no—
1384D4—82no—
1385D4—82no—
1386D4—82no—
1387D4—84no—
1388D4—82no—
1389D4—84no—
1390D4—84no—
1391D4—84no—
1392D4—84no—
1393D4—84no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397D4—162no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402D4—162no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—48no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—84no—
1491C2×C4—84no—
1492C2×C4—162no—
1493C2×C4—162no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4#53412yes—
1498C2×C4#53412yes—
1499C2×C4D4212yes—
1500C2×C4C23×D411yescharacteristic
1501C2×C4C2×H(5,𝔽2)11yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4#58511yescharacteristic
1505C2×C4#58511yescharacteristic
1506C8—22no—
1507C8—22no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—42no—
1550C22—41no—
1551C22—41no—
1552C22—88no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22C2×#53411yescharacteristic
1572C22C2×D4211yescharacteristic
1573C22#348511yescharacteristic
1574C22C2×#57611yescharacteristic
1575C22#358411yescharacteristic
1576C22#358411yescharacteristic
1577C22#358611yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4#349611yescharacteristic
1601C4#349611yescharacteristic
1602C4#354211yescharacteristic
1603C4#354211yescharacteristic
1604C2—42no—
1605C2—42no—
1606C2—81no—
1607C2—81no—
1608C2—81no—
1609C2—82no—
1610C2—161no—
1611C2—161no—
1612C2#3933811yescharacteristic
1613C2#6076111yescharacteristic
1614C2#6076811yescharacteristic
1615C2#6105611yescharacteristic
1616C2#6107811yescharacteristic
1617C2#6174411yescharacteristic
1618C2#6176811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3203C2semidirect
2. C2×#3191C2semidirect
3. #37657C2semidirect
4. #35518C2semidirect
5. #32913C2semidirect
6. #30588C2semidirect
7. #30571C2semidirect
8. #30560C2semidirect
9. #30557C2semidirect
10. #30413C2semidirect
11. #30409C2semidirect
12. #30405C2semidirect
13. #30401C2semidirect
14. #29606C2semidirect
15. #29600C2semidirect
16. #28236C2semidirect
17. #28226C2semidirect
18. #27923C2semidirect
19. #27656C2semidirect
20. #25402C2semidirect
21. #25384C2semidirect
22. #25028C2semidirect
23. #25019C2semidirect
24. #24565C2semidirect
25. #24550C2semidirect
26. #24250C2semidirect
27. #24242C2semidirect
28. #24017C2semidirect
29. #24007C2semidirect
30. #22398C2semidirect
31. #21465C2semidirect
42. C2×#484C22semidirect
50. C2×#480C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
54. C2×#467C22semidirect
56. C2×#466C22semidirect
59. C2×#460C22semidirect
60. C2×#459C22semidirect
63. C2×#452C22semidirect
67. C2×#449C22semidirect
68. C2×#440C22semidirect
69. C2×C4×Q16C22semidirect
112. #2094C22semidirect
113. #2093C22semidirect
114. #2092C22semidirect
115. #2092C22semidirect
116. #2085C22semidirect
117. #2083C22semidirect
118. #2077C22semidirect
119. #2076C22semidirect
122. #2074C22semidirect
123. #2072C22semidirect
125. #2036C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2033C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1961C22semidirect
153. #1957C22semidirect
156. #1949C22semidirect
157. #1947C22semidirect
158. #1895C22semidirect
161. #1893C22semidirect
162. #1880C22semidirect
163. #1880C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1878C22semidirect
167. #1877C22semidirect
175. #1863C22semidirect
176. #1862C22semidirect
179. #1853C22semidirect
181. #1852C22semidirect
182. #1847C22semidirect
183. #1846C22semidirect
186. #1809C22semidirect
189. #1808C22semidirect
190. #1805C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
202. #1763C22semidirect
203. C4×#102C22semidirect
329. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32032
C2×#31912
#376572
#355182
#329132
#305882
#305712
#305602
#305572
#304132
#304092
#304052
#304012
#296062
#296002
#282362
#282262
#279232
#276562
#254022
#253842
#250282
#250192
#245652
#245502
#242502
#242422
#240172
#240072
#223982
#214652