Finite Group Databasebeta

← #6533300

Subgroups — #6533300

Order 512.

3538 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3271C211yesmaximal, characteristic, complemented
3C2×#3268C211yesmaximal, characteristic, complemented
4#36410C211yesmaximal, characteristic, complemented
5#29662C211yesmaximal, characteristic, complemented
6#29628C211yesmaximal, characteristic, complemented
7#29623C211yesmaximal, characteristic, complemented
8#25731C211yesmaximal, characteristic, complemented
9#25644C211yesmaximal, characteristic, complemented
10#25642C211yesmaximal, characteristic, complemented
11#25506C211yesmaximal, characteristic, complemented
12#25500C211yesmaximal, characteristic, complemented
13#24445C211yesmaximal, characteristic, complemented
14#24440C211yesmaximal, characteristic, complemented
15#24428C211yesmaximal, characteristic, complemented
16#24425C211yesmaximal, characteristic, complemented
17#24217C211yesmaximal, characteristic, complemented
18#24207C211yesmaximal, characteristic, complemented
19#24206C211yesmaximal, characteristic, complemented
20#23938C211yesmaximal, characteristic, complemented
21#23938C211yesmaximal, characteristic, complemented
22#23868C211yesmaximal, characteristic, complemented
23#23860C211yesmaximal, characteristic, complemented
24#23854C211yesmaximal, characteristic, complemented
25#23850C211yesmaximal, characteristic, complemented
26#23578C211yesmaximal, characteristic, complemented
27#23431C211yesmaximal, characteristic, complemented
28#23421C211yesmaximal, characteristic, complemented
29#22471C211yesmaximal, characteristic, complemented
30#22426C211yesmaximal, characteristic, complemented
31#22424C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36#3514—28no—
37#3514—28no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#555—21no—
41C2×#551—21no—
42C2×#551—21no—
43C2×#550C2211yescharacteristic, complemented
44C2×D4×Q8C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#546—21no—
48C2×#546C2211yescharacteristic
49C2×#546C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#542—21no—
52C2×#538—21no—
53C2×#538—21no—
54C2×#532C2211yescharacteristic
55C2×#529C2211yescharacteristic
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C22×#124C2211yescharacteristic
59C22×#124C2211yescharacteristic
60C2×#518—21no—
61C2×C4×#41C2211yescharacteristic
62#3271—28no—
63#3268—28no—
64C2×#496C2211yescharacteristic
65C2×#496C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic
67C2×#468C2211yescharacteristic, complemented
68C2×#466C2211yescharacteristic
69C2×#465C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic
71C2×#464C2211yescharacteristic, complemented
72C2×#460C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#441C2211yescharacteristic, complemented
89C2×#440C2211yescharacteristic, complemented
90C2×#435C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#419C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic
94C2×#416C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2856C2211yescharacteristic, complemented
97#2854C2211yescharacteristic, complemented
98#2854C2211yescharacteristic, complemented
99#2582C2211yescharacteristic, complemented
100#2548C2211yescharacteristic, complemented
101#2476—21no—
102#2476—21no—
103#2464—21no—
104#2464—21no—
105#2445—21no—
106#2431—21no—
107#2414C2211yescharacteristic
108#2414C2211yescharacteristic, complemented
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2367—21no—
112#2363—21no—
113#2354C2211yescharacteristic, complemented
114C4×C22⋊Q8C2211yescharacteristic, complemented
115#2297C2211yescharacteristic, complemented
116#2297C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2043C2211yescharacteristic, complemented
119#2042C2211yescharacteristic
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic
125#2036C2211yescharacteristic, complemented
126#2034C2211yescharacteristic
127#2026C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2014C2211yescharacteristic
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic
150#2011C2211yescharacteristic
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1985C2211yescharacteristic, complemented
158#1985C2211yescharacteristic, complemented
159#1983C2211yescharacteristic
160#1983C2211yescharacteristic, complemented
161#1959C2211yescharacteristic
162#1959C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1892C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1873C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1817C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1728C2211yescharacteristic, complemented
206C2×#336C2211yescharacteristic, complemented
207C22×#41D411yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C2×#137—24no—
218C2×#137—42no—
219C2×#137—42no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×#135—24no—
224C2×#135—24no—
225C2×#135—42no—
226C2×#135—42no—
227C2×#135—42no—
228C2×#135—42no—
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250C23×C8C2311yescharacteristic
251#559—24no—
252#559—24no—
253#556—24no—
254#556—24no—
255#555—216no—
256#551—216no—
257#551—216no—
258#550—24no—
259#550—24no—
260D4×Q8—24no—
261D4×Q8—24no—
262#548—24no—
263#548—24no—
264#548—24no—
265#548D418yescomplemented
266#546—216no—
267#546—24no—
268#546—24no—
269#546—24no—
270#546D418yescomplemented
271D42—24no—
272D42—24no—
273#542—216no—
274#538—216no—
275#538—216no—
276#532—24no—
277#532—24no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127—21no—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283#529—24no—
284#529—24no—
285#529—24no—
286#529—24no—
287#529—24no—
288#529—24no—
289C2×#126—21no—
290C2×#126—21no—
291C2×#126—21no—
292C2×#126—21no—
293C2×#126—21no—
294C2×#125C2311yescharacteristic
295C2×#124—24no—
296C2×#124—21no—
297C2×#124—24no—
298C2×#124—24no—
299C2×#124—24no—
300C2×#124—21no—
301C2×#124—21no—
302C2×#124—21no—
303C2×#124—21no—
304C2×#124—21no—
305C2×#124—21no—
306C2×#124—21no—
307C2×#124C2311yescharacteristic
308C2×#124C2311yescharacteristic
309C2×#124C2311yescharacteristic
310C2×#124C2311yescharacteristic
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#123—21no—
315C2×#123—21no—
316C2×#123—21no—
317C2×#123—21no—
318C2×#123—21no—
319C2×#123—21no—
320C2×#123—21no—
321C2×#123—21no—
322C2×#123—21no—
323C2×C22⋊Q8—21no—
324C2×C22⋊Q8—21no—
325C2×C22⋊Q8—21no—
326C2×C22⋊Q8—21no—
327C2×C22⋊Q8—21no—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#120—21no—
351C2×#120—21no—
352C2×#120—21no—
353C2×#120—21no—
354#518—216no—
355C4×#41—24no—
356C4×#41—24no—
357C2×C4×Q8D411yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4—21no—
371C2×C4×D4—21no—
372C2×C4×D4—21no—
373C2×C4×D4D411yescharacteristic
374C2×C4×D4D411yescharacteristic
375C2×C4×D4D411yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×#117—21no—
383C2×#117—21no—
384C2×#117—21no—
385C2×#117—21no—
386C2×#117D411yescharacteristic
387C2×#117D411yescharacteristic
388C2×#117D411yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C22×C22⋊C4—21no—
392C22×C22⋊C4—21no—
393C22×C22⋊C4—21no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#496—24no—
401#496—24no—
402#469—24no—
403#468—24no—
404#466—24no—
405#465—24no—
406#464—24no—
407#464—24no—
408#460—24no—
409#459—24no—
410#452—24no—
411#452—24no—
412#451—42no—
413#450—42no—
414#449—24no—
415#449—24no—
416#449—24no—
417#449—24no—
418#448—24no—
419#448—42no—
420#448—42no—
421#447—24no—
422#447—42no—
423#447—42no—
424#441—24no—
425#440—24no—
426#435—24no—
427#435—24no—
428C2×#107C2311yescharacteristic
429C2×#106C2311yescharacteristic
430C2×C4⋊C8C2311yescharacteristic
431C2×C4⋊C8C2311yescharacteristic
432#419—42no—
433#418—42no—
434#416—42no—
435#416—42no—
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×#97C2311yescharacteristic
481C2×#97C2311yescharacteristic
482#398—21no—
483#398—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#391—21no—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390—21no—
499#390—21no—
500#390—21no—
501#390—21no—
502#390—21no—
503#390—21no—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389—21no—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#387—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#384C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538C4×C4⋊C4—21no—
539C4×C4⋊C4—21no—
540C4×C4⋊C4C2311yescharacteristic
541C4×C22⋊C4—21no—
542C4×C22⋊C4—21no—
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C2×#41—24no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—42no—
578C2×#41—42no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41C2×D414yes—
594C2×#41C2×D414yes—
595C22×Q8—22no—
596C22×Q8—22no—
597C22×Q8—21no—
598C22×Q8—21no—
599C22×Q8—22no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8—41no—
605C22×Q8—41no—
606C22×Q8—41no—
607C22×Q8—41no—
608C22×Q8C2×D414yes—
609C22×Q8C2×D411yescharacteristic
610C22×Q8C2411yescharacteristic
611C22×Q8C2411yescharacteristic
612C22×Q8C2411yescharacteristic
613C22×Q8C2411yescharacteristic
614C22×D4—28no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—22no—
621C22×D4—22no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—22no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D414yes—
648C22×D4C2×D411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4C2×D411yescharacteristic
664C23×C4C2×D411yescharacteristic
665C23×C4C2×D411yescharacteristic
666C23×C4C2×D411yescharacteristic
667C23×C4C2×D411yescharacteristic
668C23×C4C2×D411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672#137—416no—
673AGL(1,ℤ/8)—416no—
674#135—416no—
675#135—416no—
676C2×Q16—22no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—22no—
680C2×Q16—22no—
681C2×Q16—22no—
682C2×Q16—22no—
683C2×Q16—41no—
684C2×Q16—41no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×M16—22no—
731C2×M16—22no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—41no—
735C2×M16—41no—
736C22×C8—22no—
737C22×C8—22no—
738C22×C8—22no—
739C22×C8—22no—
740C22×C8—41no—
741C22×C8—41no—
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C22×C8C2411yescharacteristic
750C4⋊Q8—28no—
751C4⋊Q8—22no—
752C4⋊Q8—22no—
753#127—22no—
754#127—22no—
755#127—22no—
756#127—22no—
757#127—44no—
758#126—28no—
759#126—28no—
760#126—28no—
761#126—28no—
762#126—28no—
763#125—22no—
764#125—22no—
765#124—28no—
766#124—28no—
767#124—28no—
768#124—28no—
769#124—28no—
770#124—28no—
771#124—22no—
772#124—22no—
773#124—22no—
774#124—22no—
775#124—22no—
776#124—22no—
777#124—22no—
778#124—22no—
779#124—22no—
780#124—22no—
781#124—28no—
782#124—22no—
783#124—22no—
784#124—44no—
785#124C2×D414yes—
786#124C2×D414yes—
787#123—28no—
788#123—28no—
789#123—28no—
790#123—28no—
791#123—28no—
792#123—28no—
793#123—28no—
794#123—82no—
795#123—82no—
796C22⋊Q8—28no—
797C22⋊Q8—28no—
798C22⋊Q8—28no—
799C22⋊Q8—28no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—28no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—41no—
807C22⋊Q8C2×D414yes—
808C22⋊Q8C2×D414yes—
809#121—28no—
810#121—28no—
811#121—28no—
812#121—28no—
813#121—28no—
814#121—28no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—22no—
819#121—28no—
820#121—22no—
821#121—22no—
822#121—22no—
823#121—22no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—82no—
832#121C2×D414yes—
833#121C2×D414yes—
834#120—28no—
835#120—28no—
836#120—28no—
837#120—28no—
838C4×Q8—22no—
839C4×Q8—22no—
840C4×Q8—24no—
841C4×Q8—22no—
842C4×Q8—22no—
843C4×Q8—22no—
844C4×Q8—22no—
845C4×Q8—22no—
846C4×Q8—22no—
847C4×Q8—22no—
848C4×Q8C2×D414yes—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—24no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—28no—
867C4×D4—24no—
868C4×D4—24no—
869C4×D4—22no—
870C4×D4—44no—
871C4×D4C2×D414yes—
872C4×D4C2×D414yes—
873C4×D4C2×D414yes—
874#117—28no—
875#117—28no—
876#117—28no—
877#117—28no—
878#117—24no—
879#117—24no—
880#117—24no—
881#117—41no—
882#117—41no—
883#117—41no—
884#117—41no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C22⋊C4—28no—
916C2×C22⋊C4—28no—
917C2×C22⋊C4—28no—
918C2×C22⋊C4—28no—
919C2×C22⋊C4—28no—
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⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—28no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C42—21no—
973C2×C42—21no—
974C2×C42—21no—
975C2×C42—22no—
976C2×C42—22no—
977C2×C42—22no—
978C2×C42—22no—
979C2×C42—22no—
980C2×C42—22no—
981C2×C42—21no—
982C2×C42—21no—
983C2×C42—21no—
984C2×C42—21no—
985C2×C42C2×D411yescharacteristic
986C2×C42C2×D411yescharacteristic
987C2×C42C2×D411yescharacteristic
988C2×C42C2×D411yescharacteristic
989C2×C42C2×D411yescharacteristic
990C2×C42C2×D411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995#107—22no—
996#106—22no—
997C4⋊C8—22no—
998C4⋊C8—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—41no—
1008#103—41no—
1009#103—41no—
1010#103—41no—
1011#103—41no—
1012#103—41no—
1013#103—41no—
1014#103—41no—
1015#103—41no—
1016#102—22no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—41no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030#102—41no—
1031#102—41no—
1032#102—41no—
1033#102—41no—
1034#102—41no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038C22⋊C8—22no—
1039C22⋊C8—22no—
1040C22⋊C8—22no—
1041C22⋊C8—41no—
1042C22⋊C8—41no—
1043#97—22no—
1044#97—22no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058C24—24no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—24no—
1063C24—21no—
1064C24—21no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24C22×D411yescharacteristic
1078C24C22×D411yescharacteristic
1079C24C22×D411yescharacteristic
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—416no—
1089#41—82no—
1090#41—82no—
1091#41—82no—
1092#41—82no—
1093#41—82no—
1094#41—82no—
1095#41—82no—
1096#41—82no—
1097C2×Q8—24no—
1098C2×Q8—22no—
1099C2×Q8—24no—
1100C2×Q8—22no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—41no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—81no—
1125C2×Q8—81no—
1126C2×Q8—81no—
1127C2×Q8—81no—
1128C2×Q8—82no—
1129C2×Q8—82no—
1130C2×Q8—82no—
1131C2×Q8—82no—
1132C2×Q8—82no—
1133C2×Q8—82no—
1134C2×Q8C22×D412yes—
1135C2×Q8C22×D412yes—
1136C2×Q8C22×D412yes—
1137C2×Q8H(5,𝔽2)12yes—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—432no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—82no—
1204C2×D4—82no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4#12014yes—
1234C2×D4C22×D412yes—
1235C2×D4C22×D412yes—
1236C2×D4C22×D412yes—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4—81no—
1299C22×C4—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4C22×D411yescharacteristic
1308C22×C4C22×D411yescharacteristic
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
1311C22×C4C22×D411yescharacteristic
1312C22×C4C22×D411yescharacteristic
1313C22×C4C22×D411yescharacteristic
1314C22×C4C22×D411yescharacteristic
1315C22×C4C22×D411yescharacteristic
1316C22×C4C22×D411yescharacteristic
1317C22×C4C22×D412yes—
1318C22×C4C22×D412yes—
1319C22×C4C22×D412yes—
1320C22×C4C22×D412yes—
1321C22×C4C22×D411yescharacteristic
1322C22×C4C2511yescharacteristic
1323Q16—28no—
1324Q16—44no—
1325Q16—44no—
1326SD16—28no—
1327SD16—44no—
1328SD16—44no—
1329SD16—44no—
1330SD16—44no—
1331SD16—44no—
1332SD16—44no—
1333SD16—82no—
1334SD16—82no—
1335D8—44no—
1336D8—44no—
1337D8—44no—
1338D8—44no—
1339D8—82no—
1340D8—82no—
1341M16—44no—
1342M16—44no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—44no—
1366C2×C8—44no—
1367C2×C8H(5,𝔽2)12yes—
1368C2×C8H(5,𝔽2)12yes—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—81no—
1401C4⋊C4—81no—
1402C4⋊C4—81no—
1403C4⋊C4#12014yes—
1404C4⋊C4C22×D412yes—
1405C4⋊C4C22×D412yes—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4—81no—
1455C22⋊C4#12014yes—
1456C22⋊C4#12014yes—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—42no—
1473C42—42no—
1474C42—81no—
1475C42—81no—
1476C42C22×D412yes—
1477C42C22×D412yes—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—48no—
1500C23—48no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—162no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23C2×#12012yes—
1546C23C2×#12012yes—
1547C23#57512yes—
1548C23C23×D411yescharacteristic
1549Q8—22no—
1550Q8—22no—
1551Q8—22no—
1552Q8—22no—
1553Q8—22no—
1554Q8—22no—
1555Q8—22no—
1556Q8—22no—
1557Q8—44no—
1558Q8—41no—
1559Q8—41no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—84no—
1567Q8—84no—
1568D4—28no—
1569D4—22no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—44no—
1576D4—48no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—162no—
1604D4—162no—
1605D4—162no—
1606D4—162no—
1607D4—162no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—82no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—82no—
1692C2×C4—82no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4C2×#12012yes—
1697C2×C4C2×#12012yes—
1698C2×C4C2×#12012yes—
1699C2×C4C2×#12012yes—
1700C2×C4#57512yes—
1701C2×C4C23×D411yescharacteristic
1702C2×C4C23×D411yescharacteristic
1703C2×C4C2×H(5,𝔽2)11yescharacteristic
1704C2×C4C2×H(5,𝔽2)11yescharacteristic
1705C2×C4C2×H(5,𝔽2)11yescharacteristic
1706C2×C4#58511yescharacteristic
1707C8—22no—
1708C8—22no—
1709C8—41no—
1710C8—41no—
1711C8—41no—
1712C8—41no—
1713C8—41no—
1714C8—41no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—168no—
1772C22—168no—
1773C22C22×#12011yescharacteristic
1774C22#348811yescharacteristic
1775C22#349811yescharacteristic
1776C22C2×#57511yescharacteristic
1777C22C2×#57511yescharacteristic
1778C22#358411yescharacteristic
1779C22#358511yescharacteristic
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—81no—
1798C4—81no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4#348411yescharacteristic
1803C4#348411yescharacteristic
1804C4#349611yescharacteristic
1805C4#349611yescharacteristic
1806C2—42no—
1807C2—42no—
1808C2—42no—
1809C2—82no—
1810C2—82no—
1811C2—82no—
1812C2—161no—
1813C2—161no—
1814C2#3568011yescharacteristic
1815C2#6035911yescharacteristic
1816C2#6037611yescharacteristic
1817C2#6197511yescharacteristic
1818C2#6199211yescharacteristic
1819C2#6242911yescharacteristic
1820C2#6244911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3514C2semidirect
2. C2×#3271C2semidirect
3. C2×#3268C2semidirect
4. #36410C2semidirect
5. #29662C2semidirect
6. #29628C2semidirect
7. #29623C2semidirect
8. #25731C2semidirect
9. #25644C2semidirect
10. #25642C2semidirect
11. #25506C2semidirect
12. #25500C2semidirect
13. #24445C2semidirect
14. #24440C2semidirect
15. #24428C2semidirect
16. #24425C2semidirect
17. #24217C2semidirect
18. #24207C2semidirect
19. #24206C2semidirect
20. #23938C2semidirect
21. #23938C2semidirect
22. #23868C2semidirect
23. #23860C2semidirect
24. #23854C2semidirect
25. #23850C2semidirect
26. #23578C2semidirect
27. #23431C2semidirect
28. #23421C2semidirect
29. #22471C2semidirect
30. #22426C2semidirect
31. #22424C2semidirect
32. C22×#137C22semidirect
34. C22×#135C22semidirect
35. C22×#135C22semidirect
43. C2×#550C22semidirect
65. C2×#496C22semidirect
67. C2×#468C22semidirect
69. C2×#465C22semidirect
71. C2×#464C22semidirect
72. C2×#460C22semidirect
73. C2×#459C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#451C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
88. C2×#441C22semidirect
89. C2×#440C22semidirect
90. C2×#435C22semidirect
91. C2×#435C22semidirect
92. C2×#419C22semidirect
94. C2×#416C22semidirect
95. C2×#416C22semidirect
96. #2856C22semidirect
97. #2854C22semidirect
98. #2854C22semidirect
99. #2582C22semidirect
100. #2548C22semidirect
108. #2414C22semidirect
110. #2407C22semidirect
113. #2354C22semidirect
114. C4×C22⋊Q8C22semidirect
115. #2297C22semidirect
116. #2297C22semidirect
117. #2059C22semidirect
118. #2043C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
125. #2036C22semidirect
127. #2026C22semidirect
128. #2025C22semidirect
129. #2025C22semidirect
130. #2016C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
151. #2001C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
157. #1985C22semidirect
158. #1985C22semidirect
160. #1983C22semidirect
162. #1959C22semidirect
164. #1894C22semidirect
166. #1892C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
178. #1877C22semidirect
181. #1873C22semidirect
182. #1873C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1817C22semidirect
192. #1817C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
202. #1763C22semidirect
203. #1762C22semidirect
204. #1749C22semidirect
205. #1728C22semidirect
206. C2×#336C22semidirect
265. #548D4semidirect
270. #546D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#32712
C2×#32682
#364102
#296622
#296282
#296232
#257312
#256442
#256422
#255062
#255002
#244452
#244402
#244282
#244252
#242172
#242072
#242062
#239382
#238682
#238602
#238542
#238502
#235782
#234312
#234212
#224712
#224262
#224242