Finite Group Databasebeta

← #6996274

Subgroups — #6996274

Order 512.

2585 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3271C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#59131C211yesmaximal, characteristic, complemented
4#39957C211yesmaximal, characteristic, complemented
5#31012C211yesmaximal, characteristic, complemented
6#31011C211yesmaximal, characteristic, complemented
7#30753C211yesmaximal, characteristic, complemented
8#30750C211yesmaximal, characteristic, complemented
9#30503C211yesmaximal, characteristic, complemented
10#30501C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30463C211yesmaximal, characteristic, complemented
13#28578C211yesmaximal, characteristic, complemented
14#26980C211yesmaximal, characteristic, complemented
15#26976C211yesmaximal, characteristic, complemented
16#26615C211yesmaximal, characteristic, complemented
17#26608C211yesmaximal, characteristic, complemented
18#25788C211yesmaximal, characteristic, complemented
19#25785C211yesmaximal, characteristic, complemented
20#25731C211yesmaximal, characteristic, complemented
21#25122C211yesmaximal, characteristic, complemented
22#25116C211yesmaximal, characteristic, complemented
23#24455C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23862C211yesmaximal, characteristic, complemented
27#23851C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23431C211yesmaximal, characteristic, complemented
30#23119C211yesmaximal, characteristic, complemented
31#22051C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#550C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C22×#124C2211yescharacteristic, complemented
42#3271—28no—
43#3264—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#464C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic, complemented
73C2×#442C2211yescharacteristic
74C2×#441C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic
76C2×#435C2211yescharacteristic, complemented
77C2×#419C2211yescharacteristic, complemented
78C2×#418C2211yescharacteristic, complemented
79#2856C2211yescharacteristic, complemented
80#2673—21no—
81#2672—21no—
82#2671—21no—
83#2670—21no—
84#2669—21no—
85#2668—21no—
86#2661—21no—
87#2602—21no—
88#2555—21no—
89#2544C2211yescharacteristic, complemented
90#2540C2211yescharacteristic
91#2539—21no—
92#2472—21no—
93#2448C2211yescharacteristic, complemented
94#2445C2211yescharacteristic, complemented
95#2435C2211yescharacteristic
96#2433C2211yescharacteristic, complemented
97#2431C2211yescharacteristic, complemented
98#2431C2211yescharacteristic, complemented
99#2427C2211yescharacteristic, complemented
100#2426C2211yescharacteristic
101#2424—21no—
102#2423C2211yescharacteristic, complemented
103#2422C2211yescharacteristic, complemented
104#2418—21no—
105#2414C2211yescharacteristic
106#2414C2211yescharacteristic, complemented
107#2410—21no—
108#2409C2211yescharacteristic
109#2408C2211yescharacteristic, complemented
110#2408C2211yescharacteristic, complemented
111#2407C2211yescharacteristic, complemented
112#2367C2211yescharacteristic, complemented
113D4×C22⋊C4—21no—
114#2321—21no—
115C4×#121C2211yescharacteristic
116C4×#121C2211yescharacteristic, complemented
117#2297C2211yescharacteristic, complemented
118#2084C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1972C2211yescharacteristic
161#1972C2211yescharacteristic, complemented
162#1959C2211yescharacteristic, complemented
163#1959C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1935C2211yescharacteristic, complemented
167#1935C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1917C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1870C2211yescharacteristic
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1864C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1749C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×#137—24no—
214C2×#137—42no—
215C2×#137—42no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×#135—24no—
220C2×#135—42no—
221C2×#135—42no—
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8—24no—
234C22×D8—42no—
235C22×D8—42no—
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C23×C8C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#550—24no—
250#550—42no—
251#548—24no—
252#548—42no—
253#546—24no—
254#546—42no—
255#546—42no—
256#546—42no—
257D42—24no—
258D42—42no—
259C2×#127—21no—
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#124—21no—
264C2×#124—21no—
265C2×#124—21no—
266C2×#124—42no—
267C2×#124—42no—
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#123—21no—
275C2×#123—21no—
276C2×#123—21no—
277C2×#123—21no—
278C2×C22⋊Q8—21no—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121D411yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323C22×C22⋊C4—21no—
324C22×C22⋊C4—21no—
325C22×C42C2311yescharacteristic
326#496—24no—
327#496—24no—
328#496—42no—
329#496—42no—
330#469—24no—
331#469—24no—
332#466—42no—
333#465—24no—
334#465—24no—
335#465—42no—
336#464—24no—
337#463—24no—
338#460—24no—
339#459—24no—
340#452—24no—
341#450—24no—
342#450—42no—
343#450—42no—
344#449—24no—
345#449—42no—
346#449—42no—
347#449—42no—
348#449D418yescomplemented
349#448—24no—
350#448—42no—
351#447—24no—
352#447—24no—
353#447—42no—
354#447—42no—
355#442—24no—
356#441—24no—
357#435—24no—
358#435—24no—
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365#419—42no—
366#418—42no—
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
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
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
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×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411#399—21no—
412#399—21no—
413#399—21no—
414#398—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#396—21no—
419#395—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#393—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#390—21no—
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390D411yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#389D411yescharacteristic
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388D411yescharacteristic
482#388D411yescharacteristic
483#387—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386D411yescharacteristic
498#386D411yescharacteristic
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#384C2311yescharacteristic
504#380—21no—
505#380D411yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
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×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41C2×D414yes—
560C22×Q8—21no—
561C22×Q8—22no—
562C22×Q8—22no—
563C22×Q8—22no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—22no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—22no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—82no—
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633#137—416no—
634AGL(1,ℤ/8)—416no—
635#135—416no—
636C2×Q16—22no—
637C2×Q16—22no—
638C2×Q16—22no—
639C2×Q16—22no—
640C2×Q16—41no—
641C2×Q16—41no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16C2×D414yes—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—416no—
696C2×D8C2×D414yes—
697C2×M16—22no—
698C2×M16—22no—
699C2×M16—22no—
700C2×M16—22no—
701C2×M16—41no—
702C2×M16—41no—
703C22×C8—22no—
704C22×C8—22no—
705C22×C8—22no—
706C22×C8—22no—
707C22×C8—41no—
708C22×C8—41no—
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717#127—22no—
718#127—22no—
719#127—41no—
720#127—41no—
721#127—41no—
722#127—41no—
723#127—44no—
724#124—22no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—22no—
729#124—22no—
730#124—41no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—44no—
737#124—44no—
738#124—44no—
739#123—44no—
740#123—44no—
741#123—82no—
742#123—82no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—44no—
747C22⋊Q8—41no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—44no—
761#121—44no—
762#121—42no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—82no—
777#121—82no—
778#121C2×D414yes—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—82no—
785#120—82no—
786#120—82no—
787C4×Q8—22no—
788C4×Q8—22no—
789C4×Q8—41no—
790C4×Q8—41no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—82no—
806#117—41no—
807#117—41no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4C2×D411yescharacteristic
820C2×C4⋊C4C2×D411yescharacteristic
821C2×C4⋊C4C2×D411yescharacteristic
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2×D411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
884C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C42—21no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—41no—
900C2×C42—41no—
901C2×C42C2×D411yescharacteristic
902C2×C42C2×D411yescharacteristic
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#107—41no—
908#106—22no—
909#106—22no—
910#106—41no—
911C4⋊C8—22no—
912C4⋊C8—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103C2×D414yes—
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—
944#102C2×D414yes—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8C2×D414yes—
953#97—22no—
954#97—22no—
955#97—41no—
956#97—41no—
957#95—21no—
958#95—21no—
959#95—21no—
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#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—42no—
1037C2×Q8—44no—
1038C2×Q8—44no—
1039C2×Q8—42no—
1040C2×Q8—81no—
1041C2×Q8—82no—
1042C2×Q8—82no—
1043C2×Q8C22×D412yes—
1044C2×Q8H(5,𝔽2)12yes—
1045C2×D4—22no—
1046C2×D4—24no—
1047C2×D4—22no—
1048C2×D4—22no—
1049C2×D4—24no—
1050C2×D4—22no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—816no—
1163C2×D4C22×D412yes—
1164C2×D4C22×D412yes—
1165C2×D4H(5,𝔽2)12yes—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—24no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D412yes—
1231C22×C4H(5,𝔽2)12yes—
1232C22×C4C2511yescharacteristic
1233Q16—28no—
1234Q16—44no—
1235SD16—44no—
1236SD16—44no—
1237SD16—44no—
1238SD16—44no—
1239SD16—44no—
1240SD16—44no—
1241SD16—82no—
1242SD16—82no—
1243SD16—82no—
1244D8—28no—
1245D8—44no—
1246D8—44no—
1247D8—44no—
1248D8—44no—
1249D8—44no—
1250D8—82no—
1251D8—82no—
1252D8—82no—
1253M16—44no—
1254M16—44no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—44no—
1276C2×C8—44no—
1277C2×C8C22×D412yes—
1278C2×C8C22×D412yes—
1279C2×C8H(5,𝔽2)12yes—
1280C2×C8H(5,𝔽2)12yes—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—81no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4—81no—
1309C4⋊C4—81no—
1310C4⋊C4C22×D412yes—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—41no—
1380C42—41no—
1381C42—42no—
1382C42—42no—
1383C42—81no—
1384C42—81no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
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—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23D4212yes—
1468C23#57512yes—
1469C23C23×D411yescharacteristic
1470Q8—22no—
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—84no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—44no—
1490D4—48no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—84no—
1510D4—82no—
1511D4—82no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
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—84no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—162no—
1613C2×C4—162no—
1614C2×C4D4212yes—
1615C2×C4C23×D411yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C8—22no—
1622C8—22no—
1623C8—22no—
1624C8—22no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
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—168no—
1693C22—168no—
1694C22—168no—
1695C22C2×D4211yescharacteristic
1696C22#348411yescharacteristic
1697C22#349811yescharacteristic
1698C22C2×#57511yescharacteristic
1699C22#358511yescharacteristic
1700C22#358511yescharacteristic
1701C22#358511yescharacteristic
1702C4—22no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4#348411yescharacteristic
1724C4#348411yescharacteristic
1725C4#353711yescharacteristic
1726C4#353711yescharacteristic
1727C2—42no—
1728C2—42no—
1729C2—81no—
1730C2—82no—
1731C2—82no—
1732C2—82no—
1733C2—161no—
1734C2—161no—
1735C2—161no—
1736C2#4300111yescharacteristic
1737C2#6106611yescharacteristic
1738C2#6108211yescharacteristic
1739C2#6157911yescharacteristic
1740C2#6165311yescharacteristic
1741C2#6244311yescharacteristic
1742C2#6244911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3271C2semidirect
2. C2×#3264C2semidirect
3. #59131C2semidirect
4. #39957C2semidirect
5. #31012C2semidirect
6. #31011C2semidirect
7. #30753C2semidirect
8. #30750C2semidirect
9. #30503C2semidirect
10. #30501C2semidirect
11. #30472C2semidirect
12. #30463C2semidirect
13. #28578C2semidirect
14. #26980C2semidirect
15. #26976C2semidirect
16. #26615C2semidirect
17. #26608C2semidirect
18. #25788C2semidirect
19. #25785C2semidirect
20. #25731C2semidirect
21. #25122C2semidirect
22. #25116C2semidirect
23. #24455C2semidirect
24. #24440C2semidirect
25. #23869C2semidirect
26. #23862C2semidirect
27. #23851C2semidirect
28. #23850C2semidirect
29. #23431C2semidirect
30. #23119C2semidirect
31. #22051C2semidirect
32. C22×#137C22semidirect
34. C22×#135C22semidirect
36. C2×#550C22semidirect
37. C2×#548C22semidirect
41. C22×#124C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
49. C2×#469C22semidirect
50. C2×#466C22semidirect
52. C2×#465C22semidirect
53. C2×#465C22semidirect
54. C2×#464C22semidirect
55. C2×#460C22semidirect
58. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
72. C2×#447C22semidirect
74. C2×#441C22semidirect
76. C2×#435C22semidirect
77. C2×#419C22semidirect
78. C2×#418C22semidirect
79. #2856C22semidirect
89. #2544C22semidirect
93. #2448C22semidirect
94. #2445C22semidirect
96. #2433C22semidirect
97. #2431C22semidirect
98. #2431C22semidirect
99. #2427C22semidirect
102. #2423C22semidirect
103. #2422C22semidirect
106. #2414C22semidirect
109. #2408C22semidirect
110. #2408C22semidirect
111. #2407C22semidirect
112. #2367C22semidirect
116. C4×#121C22semidirect
117. #2297C22semidirect
118. #2084C22semidirect
119. #2071C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2042C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
130. #2034C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
157. #1999C22semidirect
158. #1973C22semidirect
159. #1973C22semidirect
161. #1972C22semidirect
162. #1959C22semidirect
163. #1959C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1935C22semidirect
167. #1935C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1917C22semidirect
175. #1917C22semidirect
176. #1895C22semidirect
177. #1895C22semidirect
178. #1893C22semidirect
179. #1892C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1864C22semidirect
197. #1854C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
201. #1752C22semidirect
202. #1752C22semidirect
203. #1749C22semidirect
204. #1728C22semidirect
348. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32712
C2×#32642
#591312
#399572
#310122
#310112
#307532
#307502
#305032
#305012
#304722
#304632
#285782
#269802
#269762
#266152
#266082
#257882
#257852
#257312
#251222
#251162
#244552
#244402
#238692
#238622
#238512
#238502
#234312
#231192
#220512