Finite Group Databasebeta

← #6667813

Subgroups — #6667813

Order 512.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3278C211yesmaximal, characteristic, complemented
2C2×#3009C211yesmaximal, characteristic, complemented
3#42786C211yesmaximal, characteristic, complemented
4#36091C211yesmaximal, characteristic
5#32886C211yesmaximal, characteristic, complemented
6#31065C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#31004C211yesmaximal, characteristic, complemented
9#30988C211yesmaximal, characteristic, complemented
10#30456C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30424C211yesmaximal, characteristic, complemented
13#30420C211yesmaximal, characteristic, complemented
14#29747C211yesmaximal, characteristic, complemented
15#29603C211yesmaximal, characteristic, complemented
16#28365C211yesmaximal, characteristic, complemented
17#28110C211yesmaximal, characteristic, complemented
18#25171C211yesmaximal, characteristic, complemented
19#25151C211yesmaximal, characteristic, complemented
20#24908C211yesmaximal, characteristic, complemented
21#24904C211yesmaximal, characteristic, complemented
22#24534C211yesmaximal, characteristic, complemented
23#24356C211yesmaximal, characteristic, complemented
24#24254C211yesmaximal, characteristic, complemented
25#24242C211yesmaximal, characteristic, complemented
26#24034C211yesmaximal, characteristic, complemented
27#23870C211yesmaximal, characteristic, complemented
28#23870C211yesmaximal, characteristic, complemented
29#23855C211yesmaximal, characteristic, complemented
30#22445C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#536C2211yescharacteristic
41#3278—28no—
42C2×#492C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#462C2211yescharacteristic, complemented
47C2×#460C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic, complemented
49C2×#460C2211yescharacteristic, complemented
50#3009—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic
54C2×#452C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic, complemented
59C2×#448C2211yescharacteristic, complemented
60C2×#448C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#441C2211yescharacteristic, complemented
71C2×C4×Q16C2211yescharacteristic, complemented
72C2×C4×Q16C2211yescharacteristic, complemented
73C2×#436C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic
75C2×#416C2211yescharacteristic
76C2×#408C2211yescharacteristic
77#2814—21no—
78#2734—21no—
79#2731—21no—
80#2730—21no—
81#2729—21no—
82#2663—21no—
83#2630—21no—
84#2616C2211yescharacteristic
85#2615—21no—
86#2615C2211yescharacteristic
87#2602—21no—
88#2538C2211yescharacteristic, complemented
89#2536C2211yescharacteristic, complemented
90#2499C2211yescharacteristic, complemented
91#2485C2211yescharacteristic, complemented
92#2433—21no—
93#2433—21no—
94#2433—21no—
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2429C2211yescharacteristic, complemented
99#2429C2211yescharacteristic, complemented
100#2423C2211yescharacteristic, complemented
101#2421C2211yescharacteristic, complemented
102#2409C2211yescharacteristic, complemented
103#2409C2211yescharacteristic, complemented
104#2408—21no—
105#2408—21no—
106#2408—21no—
107#2408C2211yescharacteristic
108#2408C2211yescharacteristic
109#2408C2211yescharacteristic
110#2388—21no—
111#2388C2211yescharacteristic
112#2341C2211yescharacteristic
113#2341C2211yescharacteristic
114#2341C2211yescharacteristic
115Q8×C22⋊C4C2211yescharacteristic, complemented
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2013C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, 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#1968C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1957C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1780C2211yescharacteristic
204#1753C2211yescharacteristic, 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—
228C2×#137—42no—
229C2×#137—42no—
230C2×#137D418yescomplemented
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×SD16—24no—
235C22×SD16—42no—
236C22×SD16—42no—
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#550—24no—
253#550—42no—
254#550—42no—
255#550—42no—
256#550—42no—
257#550—42no—
258D4×Q8—24no—
259D4×Q8—42no—
260#536—24no—
261#536—42no—
262C2×C4⋊Q8—21no—
263C2×C4⋊Q8—21no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×#127—21no—
266C2×#127—21no—
267C2×#127—21no—
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#124—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117C2311yescharacteristic
319#492—24no—
320#482—42no—
321#468—24no—
322#468—24no—
323#462—24no—
324#460—24no—
325#460—42no—
326#460—42no—
327#452—24no—
328#452—24no—
329#452—24no—
330#452—24no—
331#452—24no—
332#452—24no—
333#452—42no—
334#452—42no—
335#450—24no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#450—42no—
341#450—42no—
342#448—24no—
343#448—24no—
344#448—42no—
345#448—42no—
346#441—42no—
347C4×Q16—24no—
348C4×Q16—42no—
349#436—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358#418—24no—
359#416—24no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394#408—24no—
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#400—21no—
412#399—21no—
413#398—21no—
414#398—21no—
415#398—21no—
416#398—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#396—21no—
422#396—21no—
423#396—21no—
424#396—21no—
425#395—21no—
426#395—21no—
427#395—21no—
428#395D411yescharacteristic
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#394D411yescharacteristic
438#394D411yescharacteristic
439#394D411yescharacteristic
440#393—21no—
441#393—21no—
442#393—21no—
443#393D411yescharacteristic
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392D411yescharacteristic
457#392D411yescharacteristic
458#392D411yescharacteristic
459#391—21no—
460#391—21no—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#390—21no—
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#389—21no—
479#389—21no—
480#389—21no—
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#388—21no—
488#388—21no—
489#388—21no—
490#387—21no—
491#387—21no—
492#387—21no—
493#387—21no—
494#387—21no—
495#386—21no—
496#386—21no—
497#385—21no—
498#385—21no—
499#384C2311yescharacteristic
500#382C2311yescharacteristic
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
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—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
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—44no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41C2×D414yes—
579C22×Q8—21no—
580C22×Q8—21no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8C2×D414yes—
593C22×Q8C2×D411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—22no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—22no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2×D411yescharacteristic
649C22×D4C2×D411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664#137—416no—
665#137—416no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16C2×D414yes—
674C2×Q16C2×D414yes—
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—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—416no—
710C2×SD16C2×D414yes—
711C2×SD16C2×D414yes—
712C2×M16—22no—
713C2×M16—41no—
714C2×M16—41no—
715C2×M16—41no—
716C2×M16—41no—
717C2×M16C2×D414yes—
718C22×C8—22no—
719C22×C8—41no—
720C22×C8—41no—
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C4⋊Q8—22no—
730C4⋊Q8—41no—
731C4⋊Q8—44no—
732C4⋊Q8—44no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—41no—
737#127—41no—
738#127—41no—
739#127—44no—
740#127—44no—
741#127—44no—
742#124—44no—
743#123—44no—
744#123—44no—
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—41no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—44no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#120—82no—
782#120—82no—
783#120—82no—
784#120—82no—
785#120—82no—
786#120—82no—
787#120—82no—
788#120—82no—
789#120—82no—
790C4×Q8—22no—
791C4×Q8—22no—
792C4×Q8—22no—
793C4×Q8—22no—
794C4×Q8—41no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×Q8—41no—
798C4×Q8—41no—
799C4×Q8—41no—
800C4×Q8—41no—
801C4×Q8—41no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—44no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—44no—
812#117—22no—
813#117—22no—
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—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902#107—22no—
903#107—41no—
904#107—41no—
905#106—41no—
906#106—41no—
907C4⋊C8—22no—
908C4⋊C8—41no—
909C4⋊C8—41no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955C22⋊C8—41no—
956C22⋊C8—41no—
957#97—41no—
958C4×C8—22no—
959C4×C8—41no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
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#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24C22×D411yescharacteristic
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015#41—28no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
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—432no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036C2×Q8—22no—
1037C2×Q8—24no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
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—41no—
1058C2×Q8—41no—
1059C2×Q8—42no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—81no—
1064C2×Q8—81no—
1065C2×Q8—81no—
1066C2×Q8—81no—
1067C2×Q8—82no—
1068C2×Q8—82no—
1069C2×Q8—82no—
1070C2×Q8—82no—
1071C2×Q8—82no—
1072C2×Q8C22×D412yes—
1073C2×Q8C22×D412yes—
1074C2×Q8C22×D412yes—
1075C2×Q8H(5,𝔽2)12yes—
1076C2×Q8H(5,𝔽2)12yes—
1077C2×D4—28no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
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—44no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—432no—
1154C2×D4—432no—
1155C2×D4—432no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
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—81no—
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×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4C22×D412yes—
1189C2×D4H(5,𝔽2)12yes—
1190C2×D4H(5,𝔽2)12yes—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—24no—
1201C22×C4—24no—
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—21no—
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—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—42no—
1230C22×C4—42no—
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—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D412yes—
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4H(5,𝔽2)12yes—
1255C22×C4C2511yescharacteristic
1256Q16—28no—
1257Q16—28no—
1258Q16—44no—
1259SD16—44no—
1260SD16—44no—
1261SD16—44no—
1262SD16—44no—
1263SD16—44no—
1264SD16—44no—
1265SD16—44no—
1266SD16—44no—
1267SD16—82no—
1268SD16—82no—
1269SD16—82no—
1270SD16—82no—
1271M16—44no—
1272M16—44no—
1273C2×C8—21no—
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—44no—
1296C2×C8C22×D412yes—
1297C2×C8C22×D412yes—
1298C4⋊C4—22no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
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—41no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
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—81no—
1332C4⋊C4—81no—
1333C4⋊C4—81no—
1334C4⋊C4—81no—
1335C4⋊C4—81no—
1336C4⋊C4—81no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
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—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—81no—
1396C42—81no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—48no—
1428C23—48no—
1429C23—48no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
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—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23D4212yes—
1474C23C23×D411yescharacteristic
1475Q8—22no—
1476Q8—22no—
1477Q8—22no—
1478Q8—22no—
1479Q8—22no—
1480Q8—22no—
1481Q8—22no—
1482Q8—44no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—84no—
1492Q8—84no—
1493Q8#53414yes—
1494D4—22no—
1495D4—22no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—44no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—48no—
1505D4—48no—
1506D4—44no—
1507D4—44no—
1508D4—48no—
1509D4—48no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—82no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—82no—
1525D4—84no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
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—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4D4212yes—
1621C2×C4#57712yes—
1622C2×C4#57712yes—
1623C2×C4C23×D411yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C8—22no—
1630C8—22no—
1631C8—41no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—168no—
1694C22—168no—
1695C22—168no—
1696C22C2×D4211yescharacteristic
1697C22#348411yescharacteristic
1698C22#348411yescharacteristic
1699C22C2×#57711yescharacteristic
1700C22C2×#57711yescharacteristic
1701C22#358511yescharacteristic
1702C22#358611yescharacteristic
1703C4—22no—
1704C4—24no—
1705C4—22no—
1706C4—22no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4—81no—
1724C4—81no—
1725C4C2×#53411yescharacteristic
1726C4#348411yescharacteristic
1727C4#353211yescharacteristic
1728C4#353211yescharacteristic
1729C2—42no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—82no—
1734C2—82no—
1735C2—82no—
1736C2—161no—
1737C2#3764411yescharacteristic
1738C2#6107511yescharacteristic
1739C2#6109511yescharacteristic
1740C2#6161811yescharacteristic
1741C2#6165411yescharacteristic
1742C2#6166211yescharacteristic
1743C2#6168911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36091C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3278C2semidirect
2. C2×#3009C2semidirect
3. #42786C2semidirect
5. #32886C2semidirect
6. #31065C2semidirect
7. #31058C2semidirect
8. #31004C2semidirect
9. #30988C2semidirect
10. #30456C2semidirect
11. #30456C2semidirect
12. #30424C2semidirect
13. #30420C2semidirect
14. #29747C2semidirect
15. #29603C2semidirect
16. #28365C2semidirect
17. #28110C2semidirect
18. #25171C2semidirect
19. #25151C2semidirect
20. #24908C2semidirect
21. #24904C2semidirect
22. #24534C2semidirect
23. #24356C2semidirect
24. #24254C2semidirect
25. #24242C2semidirect
26. #24034C2semidirect
27. #23870C2semidirect
28. #23870C2semidirect
29. #23855C2semidirect
30. #22445C2semidirect
31. #22039C2semidirect
34. C22×#137C22semidirect
39. C2×D4×Q8C22semidirect
42. C2×#492C22semidirect
43. C2×#482C22semidirect
44. C2×#468C22semidirect
45. C2×#468C22semidirect
46. C2×#462C22semidirect
47. C2×#460C22semidirect
48. C2×#460C22semidirect
49. C2×#460C22semidirect
58. C2×#452C22semidirect
59. C2×#448C22semidirect
60. C2×#448C22semidirect
61. C2×#448C22semidirect
62. C2×#448C22semidirect
70. C2×#441C22semidirect
71. C2×C4×Q16C22semidirect
72. C2×C4×Q16C22semidirect
73. C2×#436C22semidirect
88. #2538C22semidirect
89. #2536C22semidirect
90. #2499C22semidirect
91. #2485C22semidirect
98. #2429C22semidirect
99. #2429C22semidirect
100. #2423C22semidirect
101. #2421C22semidirect
102. #2409C22semidirect
103. #2409C22semidirect
115. Q8×C22⋊C4C22semidirect
116. #2093C22semidirect
117. #2092C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2073C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2013C22semidirect
147. #2013C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1968C22semidirect
159. #1968C22semidirect
160. #1961C22semidirect
161. #1957C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1863C22semidirect
189. #1850C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1805C22semidirect
193. #1803C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
204. #1753C22semidirect
230. C2×#137D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32782
C2×#30092
#427862
#360912
#328862
#310652
#310582
#310042
#309882
#304562
#304242
#304202
#297472
#296032
#283652
#281102
#251712
#251512
#249082
#249042
#245342
#243562
#242542
#242422
#240342
#238702
#238552
#224452
#220392