Finite Group Databasebeta

← #6500036

Subgroups — #6500036

Order 512.

3453 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic, complemented
2C2×#3191C211yesmaximal, characteristic, complemented
3C2×#3050C211yesmaximal, characteristic, complemented
4#35031C211yesmaximal, characteristic, complemented
5#25546C211yesmaximal, characteristic, complemented
6#25544C211yesmaximal, characteristic, complemented
7#25534C211yesmaximal, characteristic, complemented
8#25532C211yesmaximal, characteristic, complemented
9#25500C211yesmaximal, characteristic, complemented
10#25500C211yesmaximal, characteristic, complemented
11#25499C211yesmaximal, characteristic, complemented
12#25499C211yesmaximal, characteristic, complemented
13#24436C211yesmaximal, characteristic, complemented
14#24433C211yesmaximal, characteristic, complemented
15#24428C211yesmaximal, characteristic, complemented
16#24425C211yesmaximal, characteristic, complemented
17#24381C211yesmaximal, characteristic, complemented
18#24380C211yesmaximal, characteristic, complemented
19#24379C211yesmaximal, characteristic, complemented
20#24378C211yesmaximal, characteristic, complemented
21#24099C211yesmaximal, characteristic, complemented
22#24090C211yesmaximal, characteristic, complemented
23#24040C211yesmaximal, characteristic, complemented
24#24037C211yesmaximal, characteristic, complemented
25#23971C211yesmaximal, characteristic, complemented
26#23962C211yesmaximal, characteristic, complemented
27#23854C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#21760C211yesmaximal, characteristic, complemented
30#20967C211yesmaximal, characteristic, complemented
31C2×#1869C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C24×C8C2211yescharacteristic, complemented
34#3505—28no—
35#3505—28no—
36C2×#553—21no—
37C2×#553—21no—
38C2×#553C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#552C2211yescharacteristic
41C2×#552C2211yescharacteristic
42C2×#551—21no—
43C2×#551—21no—
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×#539—21no—
49C2×#538—21no—
50C2×#534—21no—
51C2×#529C2211yescharacteristic
52C2×#529C2211yescharacteristic
53C2×#525C2211yescharacteristic
54C2×#525C2211yescharacteristic
55C2×#525C2211yescharacteristic, complemented
56C22×C22⋊Q8C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C2×#518—21no—
59C22×C4×D4C2211yescharacteristic
60#3191—28no—
61C2×#485C2211yescharacteristic, complemented
62C2×#485C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#482C2211yescharacteristic, complemented
65#3050—28no—
66C2×#467C2211yescharacteristic, complemented
67C2×#467C2211yescharacteristic, complemented
68C2×#467C2211yescharacteristic, complemented
69C2×#466C2211yescharacteristic
70C2×#466C2211yescharacteristic
71C2×#466C2211yescharacteristic, complemented
72C2×#465C2211yescharacteristic
73C2×#465C2211yescharacteristic
74C2×#465C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#449C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#427C2211yescharacteristic, complemented
87C2×#416C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C2×#416C2211yescharacteristic, complemented
90C2×#416C2211yescharacteristic, complemented
91C22×C22⋊C8C2211yescharacteristic
92C22×C22⋊C8C2211yescharacteristic
93C22×C22⋊C8C2211yescharacteristic, complemented
94#2855C2211yescharacteristic, complemented
95#2854C2211yescharacteristic, complemented
96#2848C2211yescharacteristic
97#2847C2211yescharacteristic
98#2622—21no—
99#2613—21no—
100#2602—21no—
101#2602—21no—
102#2600—21no—
103#2600—21no—
104#2485C2211yescharacteristic
105#2485C2211yescharacteristic, complemented
106#2415C2211yescharacteristic
107#2415C2211yescharacteristic, complemented
108#2414C2211yescharacteristic
109#2414C2211yescharacteristic, complemented
110#2407C2211yescharacteristic
111#2407C2211yescharacteristic, complemented
112#2322—21no—
113#2321—21no—
114#2280C2211yescharacteristic, complemented
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2026C2211yescharacteristic, complemented
132#2026C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1893C2211yescharacteristic
148#1893C2211yescharacteristic
149#1893C2211yescharacteristic
150#1893C2211yescharacteristic
151#1893C2211yescharacteristic, complemented
152#1893C2211yescharacteristic, complemented
153#1892C2211yescharacteristic, complemented
154#1892C2211yescharacteristic, complemented
155#1892C2211yescharacteristic, complemented
156#1892C2211yescharacteristic, complemented
157#1892C2211yescharacteristic, complemented
158#1892C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1878C2211yescharacteristic, complemented
164#1878C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1874C2211yescharacteristic, complemented
171#1873C2211yescharacteristic, complemented
172#1873C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1825C2211yescharacteristic, complemented
196#1825C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C2×#336C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4—21no—
212C23×D4D411yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C2×#135—24no—
217C2×#135—42no—
218C2×#135—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C23×C8—24no—
228C23×C8—42no—
229C23×C8—42no—
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237C23×C8C2311yescharacteristic
238#553—216no—
239#553—216no—
240#553—24no—
241#553—24no—
242#553—24no—
243#553—24no—
244#552—24no—
245#552—24no—
246#552—24no—
247#552—24no—
248#551—216no—
249#551—216no—
250#548—24no—
251#548—24no—
252#548—24no—
253#548—24no—
254#546—24no—
255#546—24no—
256#546—24no—
257#546—24no—
258#539—216no—
259#538—216no—
260#534—216no—
261#529—24no—
262#529—24no—
263#529—24no—
264#529—24no—
265C2×#126—21no—
266C2×#126—21no—
267C2×#126—21no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#125—21no—
272C2×#125—21no—
273C2×#125C2311yescharacteristic
274C2×#125C2311yescharacteristic
275C2×#124—21no—
276C2×#124—21no—
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279#525—24no—
280#525—24no—
281#525—24no—
282#525—24no—
283#525D418yescomplemented
284#525D418yescomplemented
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—24no—
300C2×C22⋊Q8—24no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—24no—
320C2×#121—24no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339#518—216no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×D4—24no—
343C2×C4×D4—24no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4—21no—
354C2×C4×D4—21no—
355C2×C4×D4—21no—
356C2×C4×D4D411yescharacteristic
357C2×C4×D4D411yescharacteristic
358C2×C4×D4D411yescharacteristic
359C2×C4×D4D411yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×#117—21no—
367C2×#117—21no—
368C2×#117—21no—
369C2×#117—21no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C22×C4⋊C4—21no—
376C22×C4⋊C4D411yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C22⋊C4—21no—
383C22×C22⋊C4D411yescharacteristic
384C22×C22⋊C4D411yescharacteristic
385C22×C42C2311yescharacteristic
386#485—24no—
387#485—24no—
388#482—24no—
389#482—24no—
390#467—24no—
391#467—24no—
392#467—24no—
393#466—24no—
394#466—24no—
395#466—24no—
396#465—24no—
397#465—24no—
398#465—24no—
399#465—24no—
400#465—24no—
401#465—24no—
402#452—24no—
403#452—24no—
404#451—42no—
405#450—42no—
406#449—24no—
407#449—24no—
408#448—42no—
409#447—42no—
410#427—24no—
411C2×#107C2311yescharacteristic
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×#106C2311yescharacteristic
419#416—24no—
420#416—24no—
421#416—42no—
422#416—42no—
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×C22⋊C8—24no—
456C2×C22⋊C8—42no—
457C2×C22⋊C8—42no—
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470#397—21no—
471#397—21no—
472#397—21no—
473#397—21no—
474#394—21no—
475#394—21no—
476#394—21no—
477#394—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#390—21no—
489#390—21no—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#389—21no—
493#389—21no—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#388—21no—
499#388—21no—
500#388—21no—
501#388—21no—
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#387—21no—
507#387—21no—
508#387—21no—
509#387—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#385—21no—
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#381—21no—
523#381—21no—
524#380C2311yescharacteristic
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#379—21no—
533#379—21no—
534C4×C22⋊C4—21no—
535C4×C22⋊C4—21no—
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25C2×D411yescharacteristic
562C25C2×D411yescharacteristic
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
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—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41C2×D414yes—
580C2×#41C2×D414yes—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—21no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—28no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—42no—
615C22×D4—44no—
616C22×D4—44no—
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—21no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4C2×D411yescharacteristic
643C23×C4C2×D411yescharacteristic
644C23×C4C2×D411yescharacteristic
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2×D411yescharacteristic
650C23×C4C2×D414yes—
651C23×C4C2×D414yes—
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657#135—416no—
658C2×Q16—22no—
659C2×Q16—22no—
660C2×Q16—22no—
661C2×Q16—41no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C22×C8—22no—
683C22×C8—22no—
684C22×C8—22no—
685C22×C8—22no—
686C22×C8—22no—
687C22×C8—22no—
688C22×C8—22no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—22no—
692C22×C8—22no—
693C22×C8—22no—
694C22×C8—22no—
695C22×C8—22no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—41no—
699C22×C8—41no—
700C22×C8—41no—
701C22×C8—41no—
702C22×C8—41no—
703C22×C8—41no—
704C22×C8—41no—
705C22×C8—41no—
706C22×C8—416no—
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715#126—28no—
716#126—28no—
717#126—28no—
718#126—28no—
719#126—28no—
720#126—28no—
721#125—28no—
722#125—28no—
723#125—22no—
724#125—22no—
725#125—22no—
726#125—22no—
727#124—28no—
728#124—28no—
729#124—22no—
730#124—22no—
731#124—22no—
732#124—22no—
733#123—28no—
734#123—28no—
735#123—28no—
736#123—28no—
737#123—28no—
738#123—28no—
739#123—28no—
740#123—28no—
741#123—28no—
742#123—28no—
743#123—44no—
744#123—44no—
745C22⋊Q8—28no—
746C22⋊Q8—28no—
747C22⋊Q8—28no—
748C22⋊Q8—28no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8C2×D414yes—
766C22⋊Q8C2×D414yes—
767C22⋊Q8C2×D414yes—
768C22⋊Q8C2×D414yes—
769#121—28no—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121C2×D414yes—
794#121C2×D414yes—
795#121C2×D414yes—
796#121C2×D414yes—
797#120—28no—
798#120—28no—
799#120—28no—
800#120—28no—
801#120—44no—
802#120—44no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×D4—28no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—24no—
816C4×D4—24no—
817C4×D4—24no—
818C4×D4—24no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—44no—
834C4×D4—44no—
835#117—28no—
836#117—28no—
837#117—28no—
838#117—28no—
839#117—22no—
840#117—22no—
841#117—22no—
842#117—22no—
843#117—41no—
844#117—41no—
845#117—41no—
846#117—41no—
847#117C2×D414yes—
848#117C2×D414yes—
849C2×C4⋊C4—28no—
850C2×C4⋊C4—24no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4C2×D411yescharacteristic
878C2×C4⋊C4C2×D411yescharacteristic
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C4⋊C4C2×D411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C22⋊C4—28no—
892C2×C22⋊C4—28no—
893C2×C22⋊C4—28no—
894C2×C22⋊C4—28no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4C2×D411yescharacteristic
941C2×C22⋊C4C2×D411yescharacteristic
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C42—21no—
949C2×C42—21no—
950C2×C42—21no—
951C2×C42—21no—
952C2×C42—22no—
953C2×C42—22no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42C2×D411yescharacteristic
958C2×C42C2×D411yescharacteristic
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961#107—22no—
962#107—22no—
963#107—22no—
964#107—22no—
965#106—22no—
966#106—22no—
967#106—22no—
968#106—22no—
969#103—22no—
970#103—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—41no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103—41no—
984#103—41no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—41no—
996#102—41no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—41no—
1010C22⋊C8—41no—
1011C22⋊C8—41no—
1012C22⋊C8—41no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—24no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—41no—
1038C24—41no—
1039C24—41no—
1040C24—41no—
1041C24—41no—
1042C24—41no—
1043C24—41no—
1044C24—41no—
1045C24—42no—
1046C24—42no—
1047C24—81no—
1048C24—81no—
1049C24—81no—
1050C24—81no—
1051C24#12014yes—
1052C24#13514yescomplemented
1053C24C22×D411yescharacteristic
1054C24C22×D411yescharacteristic
1055C24C22×D411yescharacteristic
1056C24C22×D411yescharacteristic
1057C24C22×D411yescharacteristic
1058#41—44no—
1059#41—44no—
1060#41—44no—
1061#41—44no—
1062#41—44no—
1063#41—44no—
1064#41—82no—
1065#41—82no—
1066#41—82no—
1067#41—82no—
1068#41—82no—
1069#41—82no—
1070C2×Q8—24no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—82no—
1090C2×Q8—82no—
1091C2×Q8—82no—
1092C2×Q8—82no—
1093C2×Q8C22×D412yes—
1094C2×Q8C22×D412yes—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—416no—
1133C2×D4—432no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
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—42no—
1148C2×D4—42no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4C22×D412yes—
1172C2×D4C22×D412yes—
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—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—21no—
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—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—82no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4#12014yes—
1264C22×C4#12014yes—
1265C22×C4#12014yes—
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D412yes—
1276C22×C4C22×D412yes—
1277C22×C4C22×D412yes—
1278C22×C4C22×D412yes—
1279C22×C4C22×D412yes—
1280C22×C4C22×D412yes—
1281C22×C4C2511yescharacteristic
1282Q16—44no—
1283Q16—82no—
1284SD16—44no—
1285SD16—44no—
1286SD16—82no—
1287SD16—82no—
1288D8—44no—
1289D8—82no—
1290C2×C8—28no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—44no—
1314C2×C8—44no—
1315C2×C8—44no—
1316C2×C8—44no—
1317C2×C8—44no—
1318C2×C8—82no—
1319C2×C8—82no—
1320C2×C8H(5,𝔽2)12yes—
1321C2×C8H(5,𝔽2)12yes—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—81no—
1361C4⋊C4—81no—
1362C4⋊C4—81no—
1363C4⋊C4—81no—
1364C4⋊C4C22×D412yes—
1365C4⋊C4C22×D412yes—
1366C4⋊C4C22×D412yes—
1367C4⋊C4C22×D412yes—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—42no—
1430C42—81no—
1431C42—81no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—28no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—28no—
1462C23—22no—
1463C23—22no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—48no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—82no—
1493C23—82no—
1494C23—82no—
1495C23—82no—
1496C23—84no—
1497C23—84no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23C2×#12012yes—
1503C23C2×#12012yes—
1504C23C2×#12012yes—
1505C23C2×#13512yes—
1506C23C2×#13512yes—
1507C23C2×#13512yes—
1508C23#57512yes—
1509C23C23×D411yescharacteristic
1510Q8—22no—
1511Q8—22no—
1512Q8—22no—
1513Q8—22no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—41no—
1521Q8—41no—
1522Q8—84no—
1523D4—22no—
1524D4—22no—
1525D4—22no—
1526D4—22no—
1527D4—44no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—41no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—162no—
1552D4—162no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
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—44no—
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—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—82no—
1642C2×C4—82no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4C2×#12012yes—
1653C2×C4C2×#12012yes—
1654C2×C4C2×#12012yes—
1655C2×C4C23×D411yescharacteristic
1656C2×C4C23×D411yescharacteristic
1657C2×C4C2×H(5,𝔽2)11yescharacteristic
1658C2×C4C2×H(5,𝔽2)11yescharacteristic
1659C2×C4#58511yescharacteristic
1660C2×C4#58511yescharacteristic
1661C8—22no—
1662C8—22no—
1663C8—41no—
1664C8—41no—
1665C8—41no—
1666C8—41no—
1667C8—41no—
1668C8—41no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—416no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—88no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—168no—
1727C22#300214yes—
1728C22C22×#12011yescharacteristic
1729C22#349611yescharacteristic
1730C22#349611yescharacteristic
1731C22C22×#13511yescharacteristic
1732C22C2×#57511yescharacteristic
1733C22#358411yescharacteristic
1734C22#358411yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4—81no—
1757C4#348411yescharacteristic
1758C4#348511yescharacteristic
1759C4#349611yescharacteristic
1760C4#349611yescharacteristic
1761C2—24no—
1762C2—42no—
1763C2—42no—
1764C2—42no—
1765C2—42no—
1766C2—82no—
1767C2—82no—
1768C2—161no—
1769C2#3534711yescharacteristic
1770C2C2×#300211yescharacteristic
1771C2#6036611yescharacteristic
1772C2#6224411yescharacteristic
1773C2#6224711yescharacteristic
1774C2#6225511yescharacteristic
1775C2#6225511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3505C2semidirect
2. C2×#3191C2semidirect
3. C2×#3050C2semidirect
4. #35031C2semidirect
5. #25546C2semidirect
6. #25544C2semidirect
7. #25534C2semidirect
8. #25532C2semidirect
9. #25500C2semidirect
10. #25500C2semidirect
11. #25499C2semidirect
12. #25499C2semidirect
13. #24436C2semidirect
14. #24433C2semidirect
15. #24428C2semidirect
16. #24425C2semidirect
17. #24381C2semidirect
18. #24380C2semidirect
19. #24379C2semidirect
20. #24378C2semidirect
21. #24099C2semidirect
22. #24090C2semidirect
23. #24040C2semidirect
24. #24037C2semidirect
25. #23971C2semidirect
26. #23962C2semidirect
27. #23854C2semidirect
28. #23850C2semidirect
29. #21760C2semidirect
30. #20967C2semidirect
31. C2×#1869C2semidirect
32. C22×#135C22semidirect
33. C24×C8C22semidirect
55. C2×#525C22semidirect
61. C2×#485C22semidirect
62. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#482C22semidirect
66. C2×#467C22semidirect
67. C2×#467C22semidirect
68. C2×#467C22semidirect
71. C2×#466C22semidirect
74. C2×#465C22semidirect
75. C2×#465C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#449C22semidirect
81. C2×#449C22semidirect
82. C2×#451C22semidirect
83. C2×#448C22semidirect
84. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#427C22semidirect
87. C2×#416C22semidirect
88. C2×#416C22semidirect
89. C2×#416C22semidirect
90. C2×#416C22semidirect
93. C22×C22⋊C8C22semidirect
94. #2855C22semidirect
95. #2854C22semidirect
105. #2485C22semidirect
107. #2415C22semidirect
109. #2414C22semidirect
111. #2407C22semidirect
114. #2280C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2059C22semidirect
118. #2059C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2026C22semidirect
132. #2026C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
151. #1893C22semidirect
152. #1893C22semidirect
153. #1892C22semidirect
154. #1892C22semidirect
155. #1892C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
158. #1892C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1878C22semidirect
164. #1878C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1875C22semidirect
168. #1875C22semidirect
169. #1874C22semidirect
170. #1874C22semidirect
171. #1873C22semidirect
172. #1873C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1853C22semidirect
192. #1853C22semidirect
193. #1852C22semidirect
194. #1852C22semidirect
195. #1825C22semidirect
196. #1825C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1735C22semidirect
204. #1735C22semidirect
205. C2×#336C22semidirect
206. C2×#336C22semidirect
283. #525D4semidirect
284. #525D4semidirect
1052. C24#135semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#31912
C2×#30502
#350312
#255462
#255442
#255342
#255322
#255002
#254992
#244362
#244332
#244282
#244252
#243812
#243802
#243792
#243782
#240992
#240902
#240402
#240372
#239712
#239622
#238542
#238502
#217602
#209672
C2×#18692