Finite Group Databasebeta

← #6533602

Subgroups — #6533602

Order 512.

3402 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3562C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3C2×#3268C211yesmaximal, characteristic, complemented
4#38024C211yesmaximal, characteristic, complemented
5#29676C211yesmaximal, characteristic, complemented
6#29631C211yesmaximal, characteristic, complemented
7#29629C211yesmaximal, characteristic, complemented
8#25736C211yesmaximal, characteristic, complemented
9#25639C211yesmaximal, characteristic, complemented
10#25636C211yesmaximal, characteristic, complemented
11#25508C211yesmaximal, characteristic, complemented
12#25505C211yesmaximal, characteristic, complemented
13#24452C211yesmaximal, characteristic, complemented
14#24446C211yesmaximal, characteristic, complemented
15#24444C211yesmaximal, characteristic, complemented
16#24439C211yesmaximal, characteristic, complemented
17#24218C211yesmaximal, characteristic, complemented
18#24205C211yesmaximal, characteristic, complemented
19#24186C211yesmaximal, characteristic, complemented
20#23941C211yesmaximal, characteristic, complemented
21#23936C211yesmaximal, characteristic, complemented
22#23871C211yesmaximal, characteristic, complemented
23#23864C211yesmaximal, characteristic, complemented
24#23861C211yesmaximal, characteristic, complemented
25#23850C211yesmaximal, characteristic, complemented
26#23584C211yesmaximal, characteristic, complemented
27#23428C211yesmaximal, characteristic, complemented
28#23427C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22432C211yesmaximal, characteristic, complemented
31#22421C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic
36#3562—28no—
37#3562—28no—
38C2×#562—21no—
39C2×#560—21no—
40C2×#559C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic, complemented
42C2×#553—21no—
43C2×#551—21no—
44C2×#550C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic, complemented
47C2×#547C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#546C2211yescharacteristic, complemented
50C2×#546C2211yescharacteristic, complemented
51C2×#541C2211yescharacteristic, complemented
52C2×#540—21no—
53C2×#540C2211yescharacteristic, complemented
54C2×#539—21no—
55C2×#538—21no—
56C2×#538—21no—
57C2×#536C2211yescharacteristic, complemented
58C2×#535C2211yescharacteristic, complemented
59C2×#532C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic
62#3275—28no—
63#3268—28no—
64C2×#496C2211yescharacteristic
65C2×#495C2211yescharacteristic
66C2×#470C2211yescharacteristic, complemented
67C2×#469C2211yescharacteristic
68C2×#468C2211yescharacteristic
69C2×#466C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#464C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic
73C2×#459C2211yescharacteristic
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#440C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic
93C2×#417C2211yescharacteristic, complemented
94C2×#417C2211yescharacteristic, complemented
95C22×#103C2211yescharacteristic, complemented
96#2855C2211yescharacteristic, complemented
97#2707—21no—
98#2705—21no—
99#2691—21no—
100#2676—21no—
101#2624C2211yescharacteristic, complemented
102#2620C2211yescharacteristic
103#2592C2211yescharacteristic, complemented
104#2538C2211yescharacteristic, complemented
105#2534—21no—
106#2437—21no—
107#2424—21no—
108#2417C2211yescharacteristic
109#2416C2211yescharacteristic
110#2412—21no—
111#2408C2211yescharacteristic
112#2407C2211yescharacteristic
113D4×C4⋊C4C2211yescharacteristic, complemented
114#2324C2211yescharacteristic
115#2311C2211yescharacteristic, complemented
116C2×#390C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2043C2211yescharacteristic, complemented
119#2043C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2026C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2016C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2012C2211yescharacteristic
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic
150#2011C2211yescharacteristic
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2000C2211yescharacteristic
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#2000C2211yescharacteristic
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C2×#137—24no—
216C2×#137—42no—
217C2×#137—42no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×#135—24no—
225C2×#135—42no—
226C2×#135—42no—
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#562—216no—
250#560—216no—
251#559—24no—
252#559—24no—
253#556—24no—
254#556—24no—
255#553—216no—
256#551—216no—
257#550—24no—
258#550D418yescomplemented
259#548—24no—
260#548—24no—
261#548—24no—
262#548D418yescomplemented
263#547—24no—
264#547—24no—
265#546—24no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546—24no—
270#546—24no—
271#541—24no—
272#541—24no—
273#540—216no—
274#540—24no—
275#540—24no—
276#539—216no—
277#538—216no—
278#538—216no—
279#536—24no—
280#536—24no—
281#535—24no—
282#535—24no—
283#532—24no—
284#532—24no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×#127—21no—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290#529—24no—
291#529—24no—
292#529—24no—
293#529—24no—
294C2×#126—21no—
295C2×#126—21no—
296C2×#126—21no—
297C2×#126—21no—
298C2×#126—21no—
299C2×#126D411yescharacteristic
300C2×#126D411yescharacteristic
301C2×#125—21no—
302C2×#125—21no—
303C2×#125D411yescharacteristic
304C2×#125C2311yescharacteristic
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124D411yescharacteristic
309C2×#124C2311yescharacteristic
310C2×#124C2311yescharacteristic
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
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×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123—21no—
327C2×#123D411yescharacteristic
328C2×#123D411yescharacteristic
329C2×C22⋊Q8—21no—
330C2×C22⋊Q8—21no—
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8D411yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
345C2×#121—21no—
346C2×#121—21no—
347C2×#121—21no—
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—21no—
354C2×#121—21no—
355C2×#121—21no—
356C2×#121D411yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#120—21no—
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4—21no—
374C2×C4×D4—21no—
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×#117—21no—
389C2×#117—21no—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C22×C4⋊C4—21no—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C22⋊C4—21no—
398C22×C22⋊C4—21no—
399C22×C22⋊C4—21no—
400C22×C42C2311yescharacteristic
401#496—24no—
402#495—24no—
403#470—24no—
404#469—24no—
405#468—24no—
406#466—24no—
407#464—24no—
408#464—24no—
409#463—24no—
410#459—24no—
411#452—24no—
412#452—24no—
413#452—42no—
414#450—24no—
415#450—42no—
416#449—24no—
417#449—24no—
418#449—24no—
419#449—42no—
420#449—42no—
421#448—24no—
422#447—24no—
423#447—42no—
424#447—42no—
425#440—24no—
426C4×SD16—24no—
427#436—24no—
428#435—24no—
429C2×#107C2311yescharacteristic
430C2×#106C2311yescharacteristic
431C2×C4⋊C8C2311yescharacteristic
432C2×C4⋊C8C2311yescharacteristic
433#417—42no—
434#417—42no—
435#417—42no—
436C2×#103—42no—
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×#103C2311yescharacteristic
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×#102C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×#97C2311yescharacteristic
482C2×C4×C8C2311yescharacteristic
483#399—21no—
484#398—21no—
485#397—21no—
486#397—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#396—21no—
492#396—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#393—21no—
501#392—21no—
502#392—21no—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390—21no—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#389—21no—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#388—21no—
520#388—21no—
521#388—21no—
522#387—21no—
523#387—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#384C2311yescharacteristic
536#381—21no—
537#380—21no—
538#380—21no—
539#380—21no—
540#380—21no—
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#379—21no—
545C4×C4⋊C4C2311yescharacteristic
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—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
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×#41—41no—
594C2×#41—41no—
595C2×#41C2×D414yes—
596C2×#41C2×D414yes—
597C2×#41C2×D414yes—
598C22×Q8—21no—
599C22×Q8—22no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8C2×D414yes—
605C22×Q8C2×D411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×Q8C2411yescharacteristic
609C22×Q8C2411yescharacteristic
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—22no—
630C22×D4—22no—
631C22×D4—21no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C22×D4C2411yescharacteristic
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4C2×D411yescharacteristic
660C23×C4C2×D411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664#137—416no—
665AGL(1,ℤ/8)—416no—
666AGL(1,ℤ/8)—416no—
667#135—416no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16—22no—
725C2×M16—22no—
726C2×M16—22no—
727C2×M16—22no—
728C2×M16—41no—
729C2×M16—41no—
730C2×M16—41no—
731C22×C8—22no—
732C22×C8—22no—
733C22×C8—41no—
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C4⋊Q8—22no—
743C4⋊Q8—22no—
744C4⋊Q8—22no—
745C4⋊Q8—22no—
746#127—28no—
747#127—22no—
748#127—22no—
749#127—22no—
750#127C2×D414yes—
751#126—28no—
752#126—28no—
753#126—28no—
754#126—28no—
755#126—28no—
756#126—24no—
757#126—24no—
758#125—28no—
759#125—28no—
760#125—24no—
761#125—22no—
762#125—22no—
763#124—28no—
764#124—28no—
765#124—22no—
766#124—22no—
767#124—22no—
768#124—22no—
769#124—22no—
770#124—22no—
771#124—22no—
772#124—22no—
773#124—28no—
774#124—24no—
775#124—22no—
776#124—22no—
777#124—22no—
778#124C2×D414yes—
779#123—28no—
780#123—28no—
781#123—28no—
782#123—28no—
783#123—28no—
784#123—28no—
785#123—28no—
786#123—28no—
787#123—28no—
788#123—28no—
789#123—28no—
790#123—24no—
791#123—24no—
792#123—44no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—28no—
797C22⋊Q8—22no—
798C22⋊Q8—22no—
799C22⋊Q8—22no—
800C22⋊Q8—28no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—24no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—82no—
809C22⋊Q8C2×D414yes—
810#121—28no—
811#121—28no—
812#121—28no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—24no—
822#121—22no—
823#121—22no—
824#121—22no—
825#121—28no—
826#121—28no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—41no—
831#121—44no—
832#121—41no—
833#121—41no—
834#121—82no—
835#121C2×D414yes—
836#121C2×D414yes—
837#121C2×D414yes—
838#120—28no—
839#120—28no—
840#120—28no—
841#120—28no—
842#120—44no—
843#120—82no—
844C4×Q8—22no—
845C4×Q8—22no—
846C4×Q8—22no—
847C4×Q8—22no—
848C4×Q8—22no—
849C4×Q8—22no—
850C4×Q8C2×D414yes—
851C4×Q8C2×D414yes—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—28no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—28no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—82no—
872C4×D4C2×D414yes—
873C4×D4C2×D414yes—
874#117—28no—
875#117—28no—
876#117—22no—
877#117—22no—
878#117—22no—
879#117—22no—
880C2×C4⋊C4—28no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
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⋊C4—41no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4—41no—
905C2×C4⋊C4—41no—
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2×D411yescharacteristic
914C2×C4⋊C4C2×D411yescharacteristic
915C2×C4⋊C4C2×D411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C22⋊C4—28no—
924C2×C22⋊C4—28no—
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—21no—
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⋊C4—21no—
967C2×C22⋊C4—44no—
968C2×C22⋊C4—82no—
969C2×C22⋊C4—82no—
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C22⋊C4C2×D411yescharacteristic
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C22⋊C4C2×D411yescharacteristic
980C2×C42—21no—
981C2×C42—21no—
982C2×C42—21no—
983C2×C42—22no—
984C2×C42—22no—
985C2×C42—21no—
986C2×C42C2×D411yescharacteristic
987C2×C42C2×D411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992#107—22no—
993#106—22no—
994C4⋊C8—22no—
995C4⋊C8—22no—
996#103—22no—
997#103—22no—
998#103—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—22no—
1004#103—41no—
1005#103—41no—
1006#103—41no—
1007#103—41no—
1008#103—41no—
1009#103—41no—
1010#103—41no—
1011#103—41no—
1012#103—41no—
1013#102—22no—
1014#102—22no—
1015#102—22no—
1016#102—22no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—41no—
1024#102—41no—
1025#102—41no—
1026#102—41no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030#102—41no—
1031#102—41no—
1032C22⋊C8—22no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038C22⋊C8—41no—
1039C22⋊C8—41no—
1040#97—22no—
1041C4×C8—22no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
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—
1055C24—24no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076C24C22×D411yescharacteristic
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—82no—
1086#41—82no—
1087#41—82no—
1088#41—82no—
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—22no—
1098C2×Q8—24no—
1099C2×Q8—21no—
1100C2×Q8—21no—
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—41no—
1121C2×Q8—41no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—81no—
1125C2×Q8—81no—
1126C2×Q8—82no—
1127C2×Q8—82no—
1128C2×Q8C22×D412yes—
1129C2×Q8C22×D412yes—
1130C2×Q8C22×D412yes—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
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—44no—
1172C2×D4—44no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—82no—
1186C2×D4—82no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—82no—
1199C2×D4—82no—
1200C2×D4—82no—
1201C2×D4—82no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
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—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4#12014yes—
1225C2×D4C22×D412yes—
1226C2×D4C22×D412yes—
1227C2×D4C22×D412yes—
1228C2×D4H(5,𝔽2)12yes—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
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—24no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4—81no—
1281C22×C4—81no—
1282C22×C4—81no—
1283C22×C4—81no—
1284C22×C4—81no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D412yes—
1308C22×C4C22×D412yes—
1309C22×C4C22×D412yes—
1310C22×C4C22×D412yes—
1311C22×C4C2511yescharacteristic
1312Q16—44no—
1313Q16—44no—
1314Q16—44no—
1315SD16—28no—
1316SD16—28no—
1317SD16—44no—
1318SD16—44no—
1319SD16—44no—
1320SD16—44no—
1321SD16—82no—
1322SD16—82no—
1323SD16—82no—
1324D8—44no—
1325D8—44no—
1326D8—44no—
1327D8—44no—
1328D8—44no—
1329D8—82no—
1330M16—44no—
1331M16—44no—
1332M16—44no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
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—44no—
1356C2×C8H(5,𝔽2)12yes—
1357C2×C8H(5,𝔽2)12yes—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—81no—
1394C4⋊C4—81no—
1395C4⋊C4—81no—
1396C4⋊C4—81no—
1397C4⋊C4—81no—
1398C4⋊C4—81no—
1399C4⋊C4—81no—
1400C4⋊C4#12014yes—
1401C4⋊C4C22×D412yes—
1402C4⋊C4C22×D412yes—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
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—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
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#12014yes—
1454C22⋊C4#12014yes—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—81no—
1467C42C22×D412yes—
1468C42C22×D412yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
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—84no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23—162no—
1535C23—162no—
1536C23—162no—
1537C23C2×#12012yes—
1538C23C2×#12012yes—
1539C23C23×D411yescharacteristic
1540Q8—22no—
1541Q8—22no—
1542Q8—22no—
1543Q8—22no—
1544Q8—22no—
1545Q8—22no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—41no—
1552Q8—41no—
1553Q8—41no—
1554Q8—41no—
1555Q8—41no—
1556Q8—82no—
1557Q8—84no—
1558D4—22no—
1559D4—22no—
1560D4—22no—
1561D4—22no—
1562D4—22no—
1563D4—22no—
1564D4—22no—
1565D4—22no—
1566D4—44no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—82no—
1583D4—82no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—162no—
1596D4—162no—
1597D4—162no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
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—84no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—162no—
1684C2×C4—162no—
1685C2×C4—162no—
1686C2×C4C2×#12012yes—
1687C2×C4C2×#12012yes—
1688C2×C4C2×#12012yes—
1689C2×C4C2×#12012yes—
1690C2×C4C23×D411yescharacteristic
1691C2×C4C23×D411yescharacteristic
1692C2×C4C2×H(5,𝔽2)11yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4C2×H(5,𝔽2)11yescharacteristic
1695C2×C4#58511yescharacteristic
1696C8—22no—
1697C8—22no—
1698C8—41no—
1699C8—41no—
1700C8—41no—
1701C8—41no—
1702C8—41no—
1703C8—41no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
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—168no—
1761C22—168no—
1762C22C22×#12011yescharacteristic
1763C22#348811yescharacteristic
1764C22#349811yescharacteristic
1765C22#358411yescharacteristic
1766C22#358511yescharacteristic
1767C22#358511yescharacteristic
1768C22#358611yescharacteristic
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—22no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—42no—
1785C4—81no—
1786C4—81no—
1787C4—81no—
1788C4—81no—
1789C4—81no—
1790C4—81no—
1791C4#348411yescharacteristic
1792C4#348411yescharacteristic
1793C4#349611yescharacteristic
1794C4#349611yescharacteristic
1795C2—42no—
1796C2—42no—
1797C2—81no—
1798C2—82no—
1799C2—82no—
1800C2—82no—
1801C2—82no—
1802C2—161no—
1803C2#3568011yescharacteristic
1804C2#6037111yescharacteristic
1805C2#6037611yescharacteristic
1806C2#6202811yescharacteristic
1807C2#6207611yescharacteristic
1808C2#6244111yescharacteristic
1809C2#6246711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3562C2semidirect
2. C2×#3275C2semidirect
3. C2×#3268C2semidirect
4. #38024C2semidirect
5. #29676C2semidirect
6. #29631C2semidirect
7. #29629C2semidirect
8. #25736C2semidirect
9. #25639C2semidirect
10. #25636C2semidirect
11. #25508C2semidirect
12. #25505C2semidirect
13. #24452C2semidirect
14. #24446C2semidirect
15. #24444C2semidirect
16. #24439C2semidirect
17. #24218C2semidirect
18. #24205C2semidirect
19. #24186C2semidirect
20. #23941C2semidirect
21. #23936C2semidirect
22. #23871C2semidirect
23. #23864C2semidirect
24. #23861C2semidirect
25. #23850C2semidirect
26. #23584C2semidirect
27. #23428C2semidirect
28. #23427C2semidirect
29. #22472C2semidirect
30. #22432C2semidirect
31. #22421C2semidirect
32. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
40. C2×#559C22semidirect
41. C2×#556C22semidirect
46. C2×#548C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#541C22semidirect
53. C2×#540C22semidirect
57. C2×#536C22semidirect
58. C2×#535C22semidirect
66. C2×#470C22semidirect
69. C2×#466C22semidirect
70. C2×#464C22semidirect
71. C2×#464C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
81. C2×#449C22semidirect
82. C2×#448C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
88. C2×#440C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
93. C2×#417C22semidirect
94. C2×#417C22semidirect
95. C22×#103C22semidirect
96. #2855C22semidirect
101. #2624C22semidirect
103. #2592C22semidirect
104. #2538C22semidirect
113. D4×C4⋊C4C22semidirect
115. #2311C22semidirect
116. C2×#390C22semidirect
117. #2059C22semidirect
118. #2043C22semidirect
119. #2043C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2041C22semidirect
125. #2036C22semidirect
126. #2035C22semidirect
127. #2026C22semidirect
128. #2025C22semidirect
129. #2025C22semidirect
130. #2016C22semidirect
131. #2016C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
136. #2014C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
139. #2013C22semidirect
140. #2013C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1959C22semidirect
162. #1957C22semidirect
164. #1895C22semidirect
165. #1894C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1872C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1803C22semidirect
194. #1803C22semidirect
195. #1798C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
258. #550D4semidirect
262. #548D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35622
C2×#32752
C2×#32682
#380242
#296762
#296312
#296292
#257362
#256392
#256362
#255082
#255052
#244522
#244462
#244442
#244392
#242182
#242052
#241862
#239412
#239362
#238712
#238642
#238612
#238502
#235842
#234282
#234272
#224722
#224322
#224212