Finite Group Databasebeta

← #7561597

Subgroups — #7561597

Order 512.

2333 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×#3304C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3#45404C211yesmaximal, characteristic, complemented
4#36029C211yesmaximal, characteristic, complemented
5#30874C211yesmaximal, characteristic, complemented
6#30752C211yesmaximal, characteristic, complemented
7#30560C211yesmaximal, characteristic, complemented
8#30397C211yesmaximal, characteristic, complemented
9#28907C211yesmaximal, characteristic, complemented
10#28587C211yesmaximal, characteristic, complemented
11#28319C211yesmaximal, characteristic, complemented
12#27250C211yesmaximal, characteristic, complemented
13#26939C211yesmaximal, characteristic, complemented
14#26385C211yesmaximal, characteristic, complemented
15#26173C211yesmaximal, characteristic, complemented
16#25556C211yesmaximal, characteristic, complemented
17#25422C211yesmaximal, characteristic, complemented
18#25243C211yesmaximal, characteristic, complemented
19#25179C211yesmaximal, characteristic, complemented
20#25163C211yesmaximal, characteristic, complemented
21#25108C211yesmaximal, characteristic, complemented
22#24435C211yesmaximal, characteristic, complemented
23#24434C211yesmaximal, characteristic, complemented
24#24034C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23123C211yesmaximal, characteristic, complemented
28#22857C211yesmaximal, characteristic, complemented
29#22451C211yesmaximal, characteristic, complemented
30#21465C211yesmaximal, characteristic, complemented
31#20932C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#556C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#520C2211yescharacteristic
40#3304—28no—
41#3268—28no—
42C2×#496C2211yescharacteristic
43C2×#486C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#482C2211yescharacteristic, complemented
47C2×#475C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic
54C2×#460C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#440C2211yescharacteristic
66C2×#440C2211yescharacteristic, complemented
67C2×C4×Q16C2211yescharacteristic, complemented
68C2×C4×Q16C2211yescharacteristic, complemented
69C2×#435C2211yescharacteristic
70C2×C8×D4C2211yescharacteristic
71C2×#416C2211yescharacteristic
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74#2714—21no—
75#2705—21no—
76#2685—21no—
77#2670—21no—
78#2619—21no—
79#2619C2211yescharacteristic
80#2541—21no—
81#2541C2211yescharacteristic, complemented
82#2535—21no—
83#2535C2211yescharacteristic, complemented
84#2491C2211yescharacteristic
85#2485C2211yescharacteristic
86#2480—21no—
87#2472—21no—
88#2458—21no—
89#2452C2211yescharacteristic
90#2448C2211yescharacteristic
91#2428—21no—
92#2428—21no—
93#2428C2211yescharacteristic, complemented
94#2428C2211yescharacteristic, complemented
95#2426—21no—
96#2426C2211yescharacteristic
97#2416—21no—
98#2416—21no—
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic
101#2414C2211yescharacteristic
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2392—21no—
105#2392C2211yescharacteristic
106#2363C2211yescharacteristic
107#2351C2211yescharacteristic, complemented
108#2341C2211yescharacteristic
109#2341C2211yescharacteristic, complemented
110#2341C2211yescharacteristic, complemented
111#2323C2211yescharacteristic
112#2309C2211yescharacteristic
113#2092C2211yescharacteristic
114#2092C2211yescharacteristic
115#2087C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2074C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2067C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2042C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2012C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1972C2211yescharacteristic
146#1972C2211yescharacteristic
147#1970C2211yescharacteristic
148#1970C2211yescharacteristic
149#1970C2211yescharacteristic
150#1943C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1878C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1864C2211yescharacteristic
188#1863C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1852C2211yescharacteristic
193#1808C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202#1750C2211yescharacteristic
203#1736C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×#135—24no—
214C2×#135—24no—
215C2×#135—42no—
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#556—24no—
233#556—42no—
234#550—24no—
235#550—24no—
236#550—42no—
237#550—42no—
238#550—42no—
239#550—42no—
240#546—24no—
241#546—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127—21no—
244C2×#127—21no—
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#126—21no—
250C2×#126—21no—
251C2×#124—21no—
252C2×#124—21no—
253C2×#124C2311yescharacteristic
254C2×#123—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#120—21no—
281C2×#120—21no—
282#520—42no—
283#520—42no—
284C2×C4×Q8—21no—
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117—21no—
303C2×#117C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C2×#117C2311yescharacteristic
306C22×C4⋊C4—21no—
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309#496—24no—
310#486—24no—
311#482—24no—
312#482—24no—
313#482—42no—
314#475—24no—
315#468—24no—
316#466—24no—
317#466—42no—
318#465—24no—
319#465—24no—
320#464—24no—
321#460—24no—
322#459—24no—
323#452—24no—
324#452D418yescomplemented
325#449—24no—
326#449—24no—
327#449—24no—
328#449—42no—
329#449—42no—
330#447—24no—
331#447—42no—
332#440—24no—
333#440—42no—
334C4×Q16—24no—
335C4×Q16—42no—
336#435—24no—
337C8×D4—24no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#416—24no—
349#416—24no—
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#102—42no—
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
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
382C2×#102C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395#399—21no—
396#398D411yescharacteristic
397#397—21no—
398#397—21no—
399#397—21no—
400#397D411yescharacteristic
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396D411yescharacteristic
406#396D411yescharacteristic
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
421#394D411yescharacteristic
422#393—21no—
423#393—21no—
424#392—21no—
425#392—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#392D411yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389—21no—
458#389—21no—
459#389—21no—
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#387—21no—
475#387—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#385—21no—
485#385—21no—
486#382—21no—
487#382C2311yescharacteristic
488#380—21no—
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
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×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41C2×D414yes—
555C22×Q8—21no—
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×D4—21no—
559C22×D4—22no—
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×D4—22no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603AGL(1,ℤ/8)—416no—
604#135—416no—
605C2×Q16—22no—
606C2×Q16—22no—
607C2×Q16C2×D414yes—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16C2×D414yes—
622C2×SD16#4114yes—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—41no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C4⋊Q8—22no—
662C4⋊Q8—41no—
663#127—22no—
664#127—22no—
665#127—41no—
666#127—41no—
667#127—41no—
668#127—41no—
669#127—44no—
670#127—44no—
671#127—44no—
672#126—44no—
673#126—44no—
674#124—22no—
675#124—41no—
676#124—44no—
677#124—82no—
678#123—44no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—41no—
682C22⋊Q8—82no—
683C22⋊Q8C2×D414yes—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—44no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—44no—
706#121—44no—
707#121—41no—
708#121—41no—
709#121—82no—
710#121—82no—
711#121—82no—
712#121—82no—
713#121—82no—
714#121—82no—
715#120—44no—
716#120—82no—
717C4×Q8—22no—
718C4×Q8—22no—
719C4×Q8—22no—
720C4×Q8—22no—
721C4×Q8—22no—
722C4×Q8—22no—
723C4×Q8—41no—
724C4×Q8—41no—
725C4×Q8—41no—
726C4×Q8—41no—
727C4×Q8—41no—
728C4×Q8—41no—
729C4×Q8—44no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743C4×D4—44no—
744C4×D4—44no—
745C4×D4—44no—
746C4×D4—44no—
747#117—22no—
748#117—22no—
749#117—22no—
750#117—41no—
751#117—41no—
752#117—44no—
753#117—41no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—22no—
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—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—41no—
771C2×C4⋊C4—44no—
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2×D411yescharacteristic
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
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—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—44no—
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42—21no—
851C2×C42—21no—
852C2×C42—21no—
853C2×C42C2411yescharacteristic
854C2×C42C2411yescharacteristic
855C2×C42C2411yescharacteristic
856C2×C42C2411yescharacteristic
857#107—22no—
858#107—22no—
859#107—22no—
860#107—41no—
861#107—41no—
862#106—22no—
863#106—22no—
864#106—41no—
865C4⋊C8—22no—
866C4⋊C8—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—22no—
872#103—22no—
873#103—22no—
874#103—41no—
875#103C2×D414yes—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102C2×D414yes—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—22no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906C22⋊C8C2×D414yes—
907#97—22no—
908#97—41no—
909C4×C8—22no—
910C4×C8—41no—
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#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—42no—
938C24—42no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947#41—28no—
948#41—44no—
949#41—44no—
950#41—44no—
951#41—44no—
952#41—44no—
953#41—44no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—42no—
972C2×Q8—42no—
973C2×Q8—81no—
974C2×Q8C22×D412yes—
975C2×Q8C22×D412yes—
976C2×Q8C2×#4112yes—
977C2×Q8H(5,𝔽2)12yes—
978C2×D4—22no—
979C2×D4—24no—
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—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
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—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—82no—
1047C2×D4—82no—
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×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4C22×D412yes—
1080C2×D4C2×#4112yes—
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—24no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
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—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
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—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D412yes—
1143C22×C4C22×D411yescharacteristic
1144C22×C4H(5,𝔽2)12yes—
1145C22×C4C2511yescharacteristic
1146Q16—28no—
1147SD16—28no—
1148SD16—44no—
1149SD16—44no—
1150SD16—44no—
1151SD16—82no—
1152D8—44no—
1153D8—44no—
1154D8—44no—
1155D8—82no—
1156D8—82no—
1157D8—82no—
1158M16—44no—
1159C2×C8—21no—
1160C2×C8—21no—
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—44no—
1181C2×C8—82no—
1182C2×C8—82no—
1183C2×C8C22×D412yes—
1184C2×C8C22×D412yes—
1185C2×C8C2×#4112yes—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
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—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—81no—
1221C4⋊C4—81no—
1222C4⋊C4—81no—
1223C4⋊C4—81no—
1224C4⋊C4C22×D412yes—
1225C4⋊C4H(5,𝔽2)12yes—
1226C22⋊C4—24no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
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—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
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—
1281C42—24no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—81no—
1297C42—81no—
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—22no—
1313C23—22no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
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—41no—
1351C23—41no—
1352C23—41no—
1353C23—84no—
1354C23—84no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23D4212yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—22no—
1365Q8—22no—
1366Q8—22no—
1367Q8—41no—
1368Q8—41no—
1369Q8—84no—
1370Q8#54614yes—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—44no—
1376D4—48no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—82no—
1398D4—82no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—48no—
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—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4D4212yes—
1499C2×C4#57612yes—
1500C2×C4C23×D411yescharacteristic
1501C2×C4C22×#4111yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4#58511yescharacteristic
1506C8—22no—
1507C8—22no—
1508C8—22no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
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—168no—
1571C22C2×D4211yescharacteristic
1572C22D4×#4111yescharacteristic
1573C22#348411yescharacteristic
1574C22C2×#57611yescharacteristic
1575C22#358411yescharacteristic
1576C22#358411yescharacteristic
1577C22#358511yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—24no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4C2×#54611yescharacteristic
1601C4#349611yescharacteristic
1602C4#351911yescharacteristic
1603C4#353411yescharacteristic
1604C2—42no—
1605C2—81no—
1606C2—81no—
1607C2—82no—
1608C2—82no—
1609C2—161no—
1610C2—161no—
1611C2—161no—
1612C2#5912311yescharacteristic
1613C2#6105611yescharacteristic
1614C2#6107711yescharacteristic
1615C2#6149411yescharacteristic
1616C2#6153111yescharacteristic
1617C2#6163811yescharacteristic
1618C2#6168811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3304C2semidirect
2. C2×#3268C2semidirect
3. #45404C2semidirect
4. #36029C2semidirect
5. #30874C2semidirect
6. #30752C2semidirect
7. #30560C2semidirect
8. #30397C2semidirect
9. #28907C2semidirect
10. #28587C2semidirect
11. #28319C2semidirect
12. #27250C2semidirect
13. #26939C2semidirect
14. #26385C2semidirect
15. #26173C2semidirect
16. #25556C2semidirect
17. #25422C2semidirect
18. #25243C2semidirect
19. #25179C2semidirect
20. #25163C2semidirect
21. #25108C2semidirect
22. #24435C2semidirect
23. #24434C2semidirect
24. #24034C2semidirect
25. #23869C2semidirect
26. #23857C2semidirect
27. #23123C2semidirect
28. #22857C2semidirect
29. #22451C2semidirect
30. #21465C2semidirect
31. #20932C2semidirect
37. C2×#550C22semidirect
43. C2×#486C22semidirect
46. C2×#482C22semidirect
47. C2×#475C22semidirect
52. C2×#465C22semidirect
54. C2×#460C22semidirect
57. C2×#452C22semidirect
66. C2×#440C22semidirect
67. C2×C4×Q16C22semidirect
68. C2×C4×Q16C22semidirect
72. C2×#416C22semidirect
81. #2541C22semidirect
83. #2535C22semidirect
93. #2428C22semidirect
94. #2428C22semidirect
107. #2351C22semidirect
109. #2341C22semidirect
110. #2341C22semidirect
115. #2087C22semidirect
116. #2085C22semidirect
117. #2077C22semidirect
118. #2074C22semidirect
120. #2067C22semidirect
121. #2057C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
129. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2023C22semidirect
134. #2014C22semidirect
140. #2000C22semidirect
150. #1943C22semidirect
151. #1936C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
162. #1893C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
177. #1878C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
186. #1865C22semidirect
188. #1863C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
193. #1808C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1763C22semidirect
199. C4×#102C22semidirect
200. #1752C22semidirect
201. C8×C22⋊C4C22semidirect
324. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33042
C2×#32682
#454042
#360292
#308742
#307522
#305602
#303972
#289072
#285872
#283192
#272502
#269392
#263852
#261732
#255562
#254222
#252432
#251792
#251632
#251082
#244352
#244342
#240342
#238692
#238572
#231232
#228572
#224512
#214652
#209322