Finite Group Databasebeta

← #6745484

Subgroups — #6745484

Order 512.

2961 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37837C211yesmaximal, characteristic, complemented
2#35222C211yesmaximal, characteristic
3#32881C211yesmaximal, characteristic, complemented
4#31676C211yesmaximal, characteristic, complemented
5#31672C211yesmaximal, characteristic, complemented
6#31276C211yesmaximal, characteristic, complemented
7#31266C211yesmaximal, characteristic, complemented
8#31040C211yesmaximal, characteristic, complemented
9#31024C211yesmaximal, characteristic, complemented
10#30420C211yesmaximal, characteristic, complemented
11#30404C211yesmaximal, characteristic, complemented
12#29962C211yesmaximal, characteristic, complemented
13#29604C211yesmaximal, characteristic, complemented
14#29115C211yesmaximal, characteristic, complemented
15#28130C211yesmaximal, characteristic, complemented
16#28107C211yesmaximal, characteristic, complemented
17#28094C211yesmaximal, characteristic, complemented
18#27602C211yesmaximal, characteristic, complemented
19#25128C211yesmaximal, characteristic, complemented
20#25112C211yesmaximal, characteristic, complemented
21#24865C211yesmaximal, characteristic, complemented
22#24861C211yesmaximal, characteristic, complemented
23#24554C211yesmaximal, characteristic, complemented
24#24394C211yesmaximal, characteristic, complemented
25#24013C211yesmaximal, characteristic, complemented
26#23966C211yesmaximal, characteristic, complemented
27#23966C211yesmaximal, characteristic, complemented
28#22398C211yesmaximal, characteristic, complemented
29#22052C211yesmaximal, characteristic, complemented
30#21770C211yesmaximal, characteristic, complemented
31C2×#1786C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C2×#552C2211yescharacteristic, complemented
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#481C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#480C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#465C2211yescharacteristic, complemented
42C2×#450C2211yescharacteristic
43C2×#450C2211yescharacteristic
44C2×#450C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#435C2211yescharacteristic, complemented
49C2×C8×D4C2211yescharacteristic, complemented
50C22×#102C2211yescharacteristic
51C22×#102C2211yescharacteristic
52C22×#102C2211yescharacteristic
53C22×#102C2211yescharacteristic
54C2×#408C2211yescharacteristic, complemented
55C22×C22⋊C8C2211yescharacteristic
56#2848C2211yescharacteristic
57#2846—21no—
58#2846—21no—
59#2707—21no—
60#2704—21no—
61#2695—21no—
62#2691—21no—
63#2629C2211yescharacteristic, complemented
64#2616C2211yescharacteristic, complemented
65#2613—21no—
66#2613—21no—
67#2562C2211yescharacteristic, complemented
68#2538C2211yescharacteristic, complemented
69#2534—21no—
70#2486C2211yescharacteristic, complemented
71#2485C2211yescharacteristic, complemented
72#2438—21no—
73#2435—21no—
74#2435—21no—
75#2433—21no—
76#2433—21no—
77#2425—21no—
78#2417C2211yescharacteristic, complemented
79#2417C2211yescharacteristic, complemented
80#2411—21no—
81#2408C2211yescharacteristic
82#2408C2211yescharacteristic
83#2408C2211yescharacteristic
84#2408C2211yescharacteristic
85#2408C2211yescharacteristic
86#2408C2211yescharacteristic
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic
89D4×C4⋊C4C2211yescharacteristic, complemented
90#2323C2211yescharacteristic, complemented
91#2311C2211yescharacteristic, complemented
92#2309C2211yescharacteristic
93#2309C2211yescharacteristic
94#2280C2211yescharacteristic
95C2×#380C2211yescharacteristic
96#2094C2211yescharacteristic, complemented
97#2093C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2075C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2071C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2065C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2025C2211yescharacteristic, complemented
127#2025C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1973C2211yescharacteristic, complemented
137#1968C2211yescharacteristic, complemented
138#1955C2211yescharacteristic, complemented
139#1954C2211yescharacteristic, complemented
140#1936C2211yescharacteristic, complemented
141#1936C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1934C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1925C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1895C2211yescharacteristic, complemented
151#1895C2211yescharacteristic, complemented
152#1895C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1893C2211yescharacteristic, complemented
155#1893C2211yescharacteristic, complemented
156#1892C2211yescharacteristic, complemented
157#1892C2211yescharacteristic, complemented
158#1880C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1875C2211yescharacteristic, complemented
163#1875C2211yescharacteristic, complemented
164#1875C2211yescharacteristic, complemented
165#1875C2211yescharacteristic, complemented
166#1874C2211yescharacteristic, complemented
167#1874C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1870C2211yescharacteristic, complemented
170#1869C2211yescharacteristic, complemented
171#1869C2211yescharacteristic, complemented
172#1869C2211yescharacteristic, complemented
173#1854C2211yescharacteristic, complemented
174#1854C2211yescharacteristic, complemented
175#1854C2211yescharacteristic, complemented
176#1853C2211yescharacteristic, complemented
177#1852C2211yescharacteristic, complemented
178#1825C2211yescharacteristic, complemented
179#1825C2211yescharacteristic, complemented
180#1825C2211yescharacteristic, complemented
181#1823C2211yescharacteristic, complemented
182#1823C2211yescharacteristic, complemented
183#1808C2211yescharacteristic, complemented
184#1807C2211yescharacteristic, complemented
185#1798C2211yescharacteristic, complemented
186#1786C2211yescharacteristic
187#1786C2211yescharacteristic
188#1786C2211yescharacteristic
189#1786C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1780C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C26—21no—
204C22×#41C2311yescharacteristic
205C23×D4—24no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—42no—
210C23×D4—42no—
211C23×D4—42no—
212C23×D4—42no—
213C23×D4—42no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×M16C2311yescharacteristic, complemented
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic, complemented
229#552—42no—
230#552—42no—
231#535—24no—
232#535—42no—
233#535—42no—
234#535—42no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#126—21no—
238C2×#125—21no—
239C2×#125C2311yescharacteristic, complemented
240C2×#124—21no—
241C2×#124—21no—
242#525—42no—
243#525—42no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123D411yescharacteristic
247C2×#123D411yescharacteristic
248C2×C22⋊Q8D411yescharacteristic
249C2×C22⋊Q8D411yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic, complemented
254C2×C22⋊Q8C2311yescharacteristic, complemented
255C2×#121D411yescharacteristic
256C2×#121D411yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120D411yescharacteristic
278C2×#120D411yescharacteristic
279C2×C4×Q8C2311yescharacteristic, complemented
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117—21no—
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289C2×#117C2311yescharacteristic, complemented
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic, complemented
293C22×C22⋊C4—21no—
294#485—42no—
295#481—42no—
296#480—42no—
297#468—42no—
298#465—42no—
299#450—24no—
300#450—42no—
301#450—42no—
302#450—42no—
303#450—42no—
304#450—42no—
305#435—42no—
306C8×D4—42no—
307C2×#107C2311yescharacteristic, complemented
308C2×#107C2311yescharacteristic, complemented
309C2×#107C2311yescharacteristic, complemented
310C2×#107C2311yescharacteristic, complemented
311C2×#106C2311yescharacteristic, complemented
312C2×#106C2311yescharacteristic, complemented
313C2×#106C2311yescharacteristic, complemented
314C2×#106C2311yescharacteristic, complemented
315C2×C4⋊C8C2311yescharacteristic, complemented
316C2×C4⋊C8C2311yescharacteristic, complemented
317C2×#103C2311yescharacteristic, complemented
318C2×#103C2311yescharacteristic, complemented
319C2×#103C2311yescharacteristic, complemented
320C2×#103C2311yescharacteristic, complemented
321C2×#102—42no—
322C2×#102—42no—
323C2×#102—42no—
324C2×#102—42no—
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353#408—42no—
354C2×C22⋊C8—42no—
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic, complemented
366C2×C22⋊C8C2311yescharacteristic, complemented
367C2×C22⋊C8C2311yescharacteristic, complemented
368C2×C22⋊C8C2311yescharacteristic, complemented
369C2×C22⋊C8C2311yescharacteristic, complemented
370C2×C22⋊C8C2311yescharacteristic, complemented
371C2×#97C2311yescharacteristic, complemented
372C2×C4×C8C2311yescharacteristic, complemented
373#400—21no—
374#398—21no—
375#398—21no—
376#398—21no—
377#398—21no—
378#398—21no—
379#397—21no—
380#397—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#396—21no—
385#396—21no—
386#396—21no—
387#395—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#391—21no—
410#391C2311yescharacteristic, complemented
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#389—21no—
426#389—21no—
427#389—21no—
428#389C2311yescharacteristic, complemented
429#389C2311yescharacteristic, complemented
430#389C2311yescharacteristic, complemented
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#387—21no—
437#387—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#384C2311yescharacteristic, complemented
448#381—21no—
449#381—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380—21no—
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic, complemented
466#380C2311yescharacteristic, complemented
467#380C2311yescharacteristic, complemented
468#380C2311yescharacteristic, complemented
469#379—21no—
470#379—21no—
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475#379—21no—
476#379—21no—
477#379—21no—
478#379—21no—
479#379—21no—
480#379—21no—
481#379—21no—
482#379—21no—
483C4×C4⋊C4C2311yescharacteristic, complemented
484C4×C22⋊C4—21no—
485C4×C22⋊C4—21no—
486C2×#95—21no—
487#340C2311yescharacteristic, complemented
488#340C2311yescharacteristic, complemented
489#340C2311yescharacteristic, complemented
490#340C2311yescharacteristic, complemented
491#340C2311yescharacteristic, complemented
492#340C2311yescharacteristic, complemented
493#340C2311yescharacteristic, complemented
494#340C2311yescharacteristic, complemented
495#340C2311yescharacteristic, complemented
496#340C2311yescharacteristic, complemented
497#340C2311yescharacteristic, complemented
498#340C2311yescharacteristic, complemented
499#340C2311yescharacteristic, complemented
500#340C2311yescharacteristic, complemented
501#340C2311yescharacteristic, complemented
502#340C2311yescharacteristic, complemented
503#340C2311yescharacteristic, complemented
504#340C2311yescharacteristic, complemented
505#340C2311yescharacteristic, complemented
506#340C2311yescharacteristic, complemented
507#336C2311yescharacteristic, complemented
508#336C2311yescharacteristic, complemented
509#336C2311yescharacteristic, complemented
510#336C2311yescharacteristic, complemented
511C25—21no—
512C25—21no—
513C25—21no—
514C25—21no—
515C25—21no—
516C25—21no—
517C25—44no—
518C25—44no—
519C25—44no—
520C25—82no—
521C25—82no—
522C25—82no—
523C25—82no—
524C25C2×D411yescharacteristic
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C22×Q8C2×D411yescharacteristic
532C22×Q8C2411yescharacteristic
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—44no—
583C22×D4—44no—
584C22×D4—44no—
585C22×D4—44no—
586C22×D4—44no—
587C22×D4—44no—
588C22×D4—44no—
589C22×D4—44no—
590C22×D4—416no—
591C22×D4—416no—
592C22×D4—44no—
593C22×D4—416no—
594C22×D4—416no—
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4#4114yes—
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4C2×D411yescharacteristic
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×M16—41no—
637C2×M16—41no—
638C2×M16—41no—
639C22×C8—22no—
640C22×C8—22no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656#127—44no—
657#127—44no—
658#126—44no—
659#125—41no—
660#125—41no—
661#125—44no—
662#124—44no—
663#124—44no—
664#123—42no—
665#123—42no—
666#123—44no—
667#123—82no—
668C22⋊Q8—22no—
669C22⋊Q8—22no—
670C22⋊Q8—22no—
671C22⋊Q8—22no—
672C22⋊Q8—42no—
673C22⋊Q8—42no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—42no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—42no—
698#120—42no—
699#120—42no—
700#120—44no—
701#120—44no—
702#120—44no—
703#120—44no—
704#120—82no—
705#120—82no—
706#120—82no—
707#120—82no—
708#120—82no—
709#120—82no—
710#120—82no—
711#120—82no—
712C4×Q8—41no—
713C4×Q8—41no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—41no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—82no—
723#117—22no—
724#117—22no—
725#117—41no—
726#117—41no—
727#117—44no—
728#117—41no—
729#117—41no—
730#117—41no—
731#117—41no—
732C2×C4⋊C4—22no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—41no—
751C2×C4⋊C4—41no—
752C2×C4⋊C4—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2×D411yescharacteristic
756C2×C4⋊C4C2×D411yescharacteristic
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
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—82no—
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C42—21no—
830C2×C42—21no—
831C2×C42—21no—
832C2×C42—21no—
833C2×C42—21no—
834C2×C42C2411yescharacteristic
835C2×C42C2411yescharacteristic
836#107—41no—
837#107—41no—
838#107—41no—
839#107—41no—
840#106—41no—
841#106—41no—
842#106—41no—
843#106—41no—
844C4⋊C8—41no—
845C4⋊C8—41no—
846#103—41no—
847#103—41no—
848#103—41no—
849#103—41no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—22no—
881C22⋊C8—22no—
882C22⋊C8—22no—
883C22⋊C8—22no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894#97—41no—
895C4×C8—41no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
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—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—24no—
921C24—22no—
922C24—22no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—24no—
928C24—41no—
929C24—41no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—42no—
941C24—42no—
942C24—42no—
943C24—42no—
944C24—42no—
945C24—432no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—816no—
972C24—816no—
973C24—816no—
974C24—816no—
975C24—816no—
976C24—816no—
977C24C22×D411yescharacteristic
978C24C22×D411yescharacteristic
979C24C22×D411yescharacteristic
980C24C22×D411yescharacteristic
981C24C22×D411yescharacteristic
982#41—82no—
983#41—82no—
984#41—82no—
985#41—82no—
986C2×Q8—22no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—41no—
994C2×Q8—41no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—24no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—24no—
1009C2×D4—22no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—432no—
1074C2×D4—432no—
1075C2×D4—432no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4C2×#4112yes—
1106C2×D4C2×#4112yes—
1107C2×D4H(5,𝔽2)12yes—
1108C2×D4H(5,𝔽2)12yes—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4—81no—
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C2×#4112yes—
1179C22×C4H(5,𝔽2)12yes—
1180C22×C4H(5,𝔽2)12yes—
1181C22×C4H(5,𝔽2)12yes—
1182C22×C4C2511yescharacteristic
1183SD16—82no—
1184SD16—82no—
1185SD16—82no—
1186SD16—82no—
1187M16—82no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—82no—
1213C2×C8—82no—
1214C2×C8—82no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—81no—
1251C4⋊C4—81no—
1252C4⋊C4—81no—
1253C4⋊C4—81no—
1254C4⋊C4—81no—
1255C4⋊C4—81no—
1256C4⋊C4—81no—
1257C4⋊C4—81no—
1258C4⋊C4—81no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
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—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—42no—
1321C42—42no—
1322C42—42no—
1323C42—42no—
1324C42—81no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—28no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—21no—
1350C23—22no—
1351C23—22no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—48no—
1366C23—48no—
1367C23—48no—
1368C23—48no—
1369C23—44no—
1370C23—48no—
1371C23—48no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—84no—
1397C23—84no—
1398C23—84no—
1399C23—84no—
1400C23—84no—
1401C23—84no—
1402C23—84no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—84no—
1407C23—84no—
1408C23—84no—
1409C23—84no—
1410C23—84no—
1411C23—84no—
1412C23—84no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—8128no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23#53412yes—
1434C23#54612yes—
1435C23#57612yes—
1436C23#57712yes—
1437C23#57712yes—
1438C23C23×D411yescharacteristic
1439Q8—41no—
1440Q8—41no—
1441Q8—41no—
1442Q8—41no—
1443Q8—82no—
1444D4—22no—
1445D4—22no—
1446D4—22no—
1447D4—22no—
1448D4—22no—
1449D4—22no—
1450D4—22no—
1451D4—22no—
1452D4—48no—
1453D4—48no—
1454D4—48no—
1455D4—48no—
1456D4—48no—
1457D4—48no—
1458D4—44no—
1459D4—44no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—82no—
1469D4—82no—
1470D4—82no—
1471D4—82no—
1472D4—82no—
1473D4—162no—
1474D4—162no—
1475D4—162no—
1476D4—162no—
1477D4—162no—
1478D4—162no—
1479D4—162no—
1480D4—162no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—84no—
1566C2×C4—162no—
1567C2×C4—162no—
1568C2×C4#53412yes—
1569C2×C4#54612yes—
1570C2×C4C22×#4111yescharacteristic
1571C2×C4C2×H(5,𝔽2)11yescharacteristic
1572C2×C4C2×H(5,𝔽2)11yescharacteristic
1573C2×C4C2×H(5,𝔽2)11yescharacteristic
1574C2×C4C2×H(5,𝔽2)11yescharacteristic
1575C2×C4C2×H(5,𝔽2)11yescharacteristic
1576C8—41no—
1577C8—41no—
1578C8—41no—
1579C8—41no—
1580C8—41no—
1581C8—41no—
1582C8—41no—
1583C8—41no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—816no—
1632C22—816no—
1633C22—816no—
1634C22—816no—
1635C22—816no—
1636C22—816no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22#319814yes—
1654C22C2×#53411yescharacteristic
1655C22C2×#54611yescharacteristic
1656C22#348411yescharacteristic
1657C22C2×#57611yescharacteristic
1658C22C2×#57711yescharacteristic
1659C22C2×#57711yescharacteristic
1660C22#358511yescharacteristic
1661C4—22no—
1662C4—22no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C4—81no—
1674C4—81no—
1675C4—81no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4#349011yescharacteristic
1683C4#349011yescharacteristic
1684C4#353211yescharacteristic
1685C4#353211yescharacteristic
1686C2—24no—
1687C2—42no—
1688C2—42no—
1689C2—81no—
1690C2—81no—
1691C2—82no—
1692C2—82no—
1693C2—82no—
1694C2—82no—
1695C2#3783211yescharacteristic
1696C2C2×#319811yescharacteristic
1697C2#6075711yescharacteristic
1698C2#6116711yescharacteristic
1699C2#6118411yescharacteristic
1700C2#6160911yescharacteristic
1701C2#6163111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35222C2
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. #37837C2semidirect
3. #32881C2semidirect
4. #31676C2semidirect
5. #31672C2semidirect
6. #31276C2semidirect
7. #31266C2semidirect
8. #31040C2semidirect
9. #31024C2semidirect
10. #30420C2semidirect
11. #30404C2semidirect
12. #29962C2semidirect
13. #29604C2semidirect
14. #29115C2semidirect
15. #28130C2semidirect
16. #28107C2semidirect
17. #28094C2semidirect
18. #27602C2semidirect
19. #25128C2semidirect
20. #25112C2semidirect
21. #24865C2semidirect
22. #24861C2semidirect
23. #24554C2semidirect
24. #24394C2semidirect
25. #24013C2semidirect
26. #23966C2semidirect
27. #23966C2semidirect
28. #22398C2semidirect
29. #22052C2semidirect
30. #21770C2semidirect
31. C2×#1786C2semidirect
33. C2×#552C22semidirect
37. C2×#481C22semidirect
38. C2×#485C22semidirect
39. C2×#480C22semidirect
40. C2×#468C22semidirect
41. C2×#465C22semidirect
48. C2×#435C22semidirect
49. C2×C8×D4C22semidirect
54. C2×#408C22semidirect
63. #2629C22semidirect
64. #2616C22semidirect
67. #2562C22semidirect
68. #2538C22semidirect
70. #2486C22semidirect
71. #2485C22semidirect
78. #2417C22semidirect
79. #2417C22semidirect
89. D4×C4⋊C4C22semidirect
90. #2323C22semidirect
91. #2311C22semidirect
96. #2094C22semidirect
97. #2093C22semidirect
98. #2077C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2076C22semidirect
102. #2076C22semidirect
103. #2075C22semidirect
104. #2071C22semidirect
105. #2071C22semidirect
106. #2067C22semidirect
107. #2067C22semidirect
108. #2067C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2065C22semidirect
112. #2055C22semidirect
113. #2055C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2025C22semidirect
127. #2025C22semidirect
128. #2025C22semidirect
129. #2025C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #1973C22semidirect
137. #1968C22semidirect
138. #1955C22semidirect
139. #1954C22semidirect
140. #1936C22semidirect
141. #1936C22semidirect
142. #1936C22semidirect
143. #1934C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1926C22semidirect
147. #1926C22semidirect
148. #1925C22semidirect
149. #1925C22semidirect
150. #1895C22semidirect
151. #1895C22semidirect
152. #1895C22semidirect
153. #1893C22semidirect
154. #1893C22semidirect
155. #1893C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
158. #1880C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
162. #1875C22semidirect
163. #1875C22semidirect
164. #1875C22semidirect
165. #1875C22semidirect
166. #1874C22semidirect
167. #1874C22semidirect
168. #1873C22semidirect
169. #1870C22semidirect
170. #1869C22semidirect
171. #1869C22semidirect
172. #1869C22semidirect
173. #1854C22semidirect
174. #1854C22semidirect
175. #1854C22semidirect
176. #1853C22semidirect
177. #1852C22semidirect
178. #1825C22semidirect
179. #1825C22semidirect
180. #1825C22semidirect
181. #1823C22semidirect
182. #1823C22semidirect
183. #1808C22semidirect
184. #1807C22semidirect
185. #1798C22semidirect
200. #1780C22semidirect
202. #1750C22semidirect
225. C22×M16C23semidirect
228. C23×C8C23semidirect
239. C2×#125C23semidirect
253. C2×C22⋊Q8C23semidirect
254. C2×C22⋊Q8C23semidirect
279. C2×C4×Q8C23semidirect
289. C2×#117C23semidirect
292. C22×C4⋊C4C23semidirect
307. C2×#107C23semidirect
308. C2×#107C23semidirect
309. C2×#107C23semidirect
310. C2×#107C23semidirect
311. C2×#106C23semidirect
312. C2×#106C23semidirect
313. C2×#106C23semidirect
314. C2×#106C23semidirect
315. C2×C4⋊C8C23semidirect
316. C2×C4⋊C8C23semidirect
317. C2×#103C23semidirect
318. C2×#103C23semidirect
319. C2×#103C23semidirect
320. C2×#103C23semidirect
365. C2×C22⋊C8C23semidirect
366. C2×C22⋊C8C23semidirect
367. C2×C22⋊C8C23semidirect
368. C2×C22⋊C8C23semidirect
369. C2×C22⋊C8C23semidirect
370. C2×C22⋊C8C23semidirect
371. C2×#97C23semidirect
372. C2×C4×C8C23semidirect
410. #391C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #389C23semidirect
447. #384C23semidirect
465. #380C23semidirect
466. #380C23semidirect
467. #380C23semidirect
468. #380C23semidirect
483. C4×C4⋊C4C23semidirect
487. #340C23semidirect
488. #340C23semidirect
489. #340C23semidirect
490. #340C23semidirect
491. #340C23semidirect
492. #340C23semidirect
493. #340C23semidirect
494. #340C23semidirect
495. #340C23semidirect
496. #340C23semidirect
497. #340C23semidirect
498. #340C23semidirect
499. #340C23semidirect
500. #340C23semidirect
501. #340C23semidirect
502. #340C23semidirect
503. #340C23semidirect
504. #340C23semidirect
505. #340C23semidirect
506. #340C23semidirect
507. #336C23semidirect
508. #336C23semidirect
509. #336C23semidirect
510. #336C23semidirect

Maximal subgroups

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

subgroupindex
#378372
#352222
#328812
#316762
#316722
#312762
#312662
#310402
#310242
#304202
#304042
#299622
#296042
#291152
#281302
#281072
#280942
#276022
#251282
#251122
#248652
#248612
#245542
#243942
#240132
#239662
#223982
#220522
#217702
C2×#17862