Finite Group Databasebeta

← #6533591

Subgroups — #6533591

Order 512.

3346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3561C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3266C211yesmaximal, characteristic, complemented
4#38034C211yesmaximal, characteristic, complemented
5#29677C211yesmaximal, characteristic, complemented
6#29633C211yesmaximal, characteristic, complemented
7#29623C211yesmaximal, characteristic, complemented
8#25737C211yesmaximal, characteristic, complemented
9#25638C211yesmaximal, characteristic, complemented
10#25636C211yesmaximal, characteristic, complemented
11#25514C211yesmaximal, characteristic, complemented
12#25503C211yesmaximal, characteristic, complemented
13#24450C211yesmaximal, characteristic, complemented
14#24447C211yesmaximal, characteristic, complemented
15#24445C211yesmaximal, characteristic, complemented
16#24433C211yesmaximal, characteristic, complemented
17#24219C211yesmaximal, characteristic, complemented
18#24205C211yesmaximal, characteristic, complemented
19#24185C211yesmaximal, characteristic, complemented
20#23945C211yesmaximal, characteristic, complemented
21#23935C211yesmaximal, characteristic, complemented
22#23868C211yesmaximal, characteristic, complemented
23#23866C211yesmaximal, characteristic, complemented
24#23863C211yesmaximal, characteristic, complemented
25#23858C211yesmaximal, characteristic, complemented
26#23579C211yesmaximal, characteristic, complemented
27#23431C211yesmaximal, characteristic, complemented
28#23424C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22430C211yesmaximal, characteristic, complemented
31#22424C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C23×SD16C2211yescharacteristic, complemented
36#3561—28no—
37#3561—28no—
38C2×#563—21no—
39C2×#562—21no—
40C2×#556C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic, complemented
42C2×#551—21no—
43C2×#551—21no—
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#546C2211yescharacteristic
50C2×#546C2211yescharacteristic, complemented
51C2×#543—21no—
52C2×#542—21no—
53C2×#542—21no—
54C2×#542C2211yescharacteristic
55C2×#542C2211yescharacteristic, complemented
56C2×#538—21no—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic, complemented
59C2×#533C2211yescharacteristic, complemented
60C2×#529C2211yescharacteristic
61C22×#124C2211yescharacteristic, complemented
62#3273—28no—
63#3266—28no—
64C2×#497C2211yescharacteristic, complemented
65C2×#495C2211yescharacteristic
66C2×#468C2211yescharacteristic
67C2×#468C2211yescharacteristic
68C2×#468C2211yescharacteristic
69C2×#467C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic
72C2×#463C2211yescharacteristic
73C2×#461C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic
76C2×#452C2211yescharacteristic
77C2×#452C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic
80C2×#451C2211yescharacteristic, complemented
81C2×#451C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic
83C2×#448C2211yescharacteristic, complemented
84C2×#448C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#440C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic
90C2×#436C2211yescharacteristic
91C2×#435C2211yescharacteristic
92C2×#419C2211yescharacteristic, complemented
93C2×#419C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic
96#2854C2211yescharacteristic
97#2703—21no—
98#2697—21no—
99#2681—21no—
100#2678—21no—
101#2625C2211yescharacteristic, complemented
102#2620C2211yescharacteristic, complemented
103#2592C2211yescharacteristic, complemented
104#2558—21no—
105#2554—21no—
106#2538C2211yescharacteristic, complemented
107#2480—21no—
108#2472—21no—
109#2415C2211yescharacteristic, complemented
110#2414C2211yescharacteristic
111#2408C2211yescharacteristic, complemented
112#2407C2211yescharacteristic
113#2354C2211yescharacteristic
114#2324C2211yescharacteristic, complemented
115#2309C2211yescharacteristic, complemented
116#2297C2211yescharacteristic
117#2057C2211yescharacteristic, complemented
118#2043C2211yescharacteristic, complemented
119#2043C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2024C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2016C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, 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
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic
150#2012C2211yescharacteristic
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1981C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1956C2211yescharacteristic, complemented
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1873C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×Q8C2311yescharacteristic
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—
224C22×Q16C2311yescharacteristic
225C22×Q16C2311yescharacteristic
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×SD16—24no—
229C22×SD16—42no—
230C22×SD16—42no—
231C22×SD16C2311yescharacteristic
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×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#563—216no—
250#562—216no—
251#556—24no—
252#556—24no—
253#556—24no—
254#556—24no—
255#551—216no—
256#551—216no—
257D4×Q8—24no—
258D4×Q8—24no—
259D4×Q8—24no—
260D4×Q8D418yescomplemented
261#548—24no—
262#548—24no—
263#548—24no—
264#548—24no—
265#546—24no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546—24no—
270#546D418yescomplemented
271#543—216no—
272#542—216no—
273#542—216no—
274#542—24no—
275#542—24no—
276#542—24no—
277#542—24no—
278#538—216no—
279#536—24no—
280#536—24no—
281#536—24no—
282#536—24no—
283#533—24no—
284#533—24no—
285C2×C4⋊Q8—21no—
286C2×C4⋊Q8—21no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291#529—24no—
292#529—24no—
293C2×#126—21no—
294C2×#126—21no—
295C2×#126—21no—
296C2×#126—21no—
297C2×#126—21no—
298C2×#126—21no—
299C2×#126D411yescharacteristic
300C2×#126D411yescharacteristic
301C2×#125—21no—
302C2×#125D411yescharacteristic
303C2×#124—24no—
304C2×#124—24no—
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124—21no—
309C2×#124—21no—
310C2×#124—21no—
311C2×#124D411yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
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×#123—21no—
328C2×#123—21no—
329C2×#123D411yescharacteristic
330C2×#123D411yescharacteristic
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8—21no—
336C2×C22⋊Q8—21no—
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8—21no—
339C2×C22⋊Q8—21no—
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8—21no—
342C2×C22⋊Q8—21no—
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8—21no—
346C2×C22⋊Q8—21no—
347C2×C22⋊Q8D411yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×#121—21no—
355C2×#121—21no—
356C2×#121—21no—
357C2×#121—21no—
358C2×#121—21no—
359C2×#121D411yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×C4×Q8—21no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×#117—21no—
386C2×#117—21no—
387C2×#117—21no—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C22×C22⋊C4—21no—
393C22×C22⋊C4—21no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C42C2311yescharacteristic
398#497—24no—
399#495—24no—
400#468—24no—
401#468—24no—
402#468—24no—
403#467—24no—
404#464—24no—
405#463—24no—
406#463—24no—
407#461—24no—
408#452—24no—
409#452—24no—
410#452—24no—
411#452—42no—
412#451—24no—
413#451—42no—
414#450—24no—
415#449—42no—
416#449—42no—
417#448—24no—
418#448—42no—
419#448—42no—
420#447—24no—
421#447—24no—
422#440—24no—
423C4×D8—24no—
424#436—24no—
425#435—24no—
426C2×#107C2311yescharacteristic
427C2×#107C2311yescharacteristic
428C2×C4⋊C8C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430#419—42no—
431#419—42no—
432#418—42no—
433#416—42no—
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×#97C2311yescharacteristic
479C2×C4×C8C2311yescharacteristic
480#400—21no—
481#398—21no—
482#397—21no—
483#397—21no—
484#397—21no—
485#397—21no—
486#396—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#393—21no—
497#392—21no—
498#392—21no—
499#392—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390—21no—
504#390—21no—
505#390—21no—
506#390—21no—
507#390—21no—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389—21no—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#388—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#384C2311yescharacteristic
535#380—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541#379—21no—
542C4×C4⋊C4—21no—
543C4×C4⋊C4C2311yescharacteristic
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—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—41no—
575C2×#41—41no—
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×#41C2×D414yes—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—21no—
589C22×Q8—21no—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8—41no—
605C22×Q8—41no—
606C22×Q8C2×D414yes—
607C22×Q8C2×D414yes—
608C22×Q8C2×D411yescharacteristic
609C22×Q8C2411yescharacteristic
610C22×Q8C2411yescharacteristic
611C22×Q8C2411yescharacteristic
612C22×Q8C2411yescharacteristic
613C22×Q8C2411yescharacteristic
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—22no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—21no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D414yes—
638C22×D4C2×D411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657#137—416no—
658AGL(1,ℤ/8)—416no—
659AGL(1,ℤ/8)—416no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
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—41no—
691C2×SD16—41no—
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—416no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—41no—
722C2×M16—41no—
723C2×M16—41no—
724C22×C8—22no—
725C22×C8—22no—
726C22×C8—41no—
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C4⋊Q8—28no—
736C4⋊Q8—22no—
737C4⋊Q8—22no—
738C4⋊Q8—22no—
739C4⋊Q8—22no—
740C4⋊Q8—28no—
741C4⋊Q8—22no—
742C4⋊Q8—22no—
743C4⋊Q8—22no—
744C4⋊Q8C2×D414yes—
745#126—28no—
746#126—28no—
747#126—28no—
748#126—28no—
749#126—28no—
750#126—28no—
751#126—24no—
752#126—24no—
753#125—28no—
754#125—24no—
755#124—28no—
756#124—28no—
757#124—28no—
758#124—28no—
759#124—28no—
760#124—28no—
761#124—22no—
762#124—22no—
763#124—22no—
764#124—22no—
765#124—22no—
766#124—22no—
767#124—22no—
768#124—22no—
769#124—22no—
770#124—22no—
771#124—24no—
772#124—22no—
773#124—22no—
774#124—22no—
775#124C2×D414yes—
776#123—28no—
777#123—28no—
778#123—28no—
779#123—28no—
780#123—28no—
781#123—28no—
782#123—28no—
783#123—24no—
784#123—28no—
785#123—24no—
786#123—44no—
787#123—82no—
788C22⋊Q8—28no—
789C22⋊Q8—28no—
790C22⋊Q8—28no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—28no—
797C22⋊Q8—28no—
798C22⋊Q8—28no—
799C22⋊Q8—28no—
800C22⋊Q8—28no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—22no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—28no—
807C22⋊Q8—28no—
808C22⋊Q8—24no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8—82no—
814C22⋊Q8C2×D414yes—
815C22⋊Q8C2×D414yes—
816C22⋊Q8C2×D414yes—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—24no—
821#121—22no—
822#121—22no—
823#121—22no—
824#121—28no—
825#121—22no—
826#121—22no—
827#121—22no—
828#121—41no—
829#121—44no—
830#121—41no—
831#121—41no—
832#121C2×D414yes—
833#120—28no—
834#120—28no—
835#120—44no—
836#120—82no—
837C4×Q8—28no—
838C4×Q8—22no—
839C4×Q8—22no—
840C4×Q8—22no—
841C4×Q8—22no—
842C4×Q8—22no—
843C4×Q8—22no—
844C4×Q8—22no—
845C4×Q8—22no—
846C4×Q8—22no—
847C4×Q8C2×D414yes—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4C2×D414yes—
862C4×D4C2×D414yes—
863C4×D4C2×D414yes—
864#117—28no—
865#117—28no—
866#117—28no—
867#117—22no—
868#117—22no—
869#117—22no—
870#117—22no—
871#117—41no—
872#117—41no—
873#117—41no—
874#117—41no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C22⋊C4—28no—
915C2×C22⋊C4—28no—
916C2×C22⋊C4—28no—
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—28no—
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—44no—
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
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×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42—22no—
979C2×C42—22no—
980C2×C42—21no—
981C2×C42—21no—
982C2×C42—21no—
983C2×C42C2×D411yescharacteristic
984C2×C42C2×D411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989#107—22no—
990#107—22no—
991C4⋊C8—22no—
992C4⋊C8—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—22no—
997#103—22no—
998#103—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—41no—
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#103—41no—
1014#103—41no—
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—
1029C22⋊C8—22no—
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—22no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—41no—
1036C22⋊C8—41no—
1037#97—22no—
1038C4×C8—22no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
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—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—24no—
1056C24—21no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24C22×D411yescharacteristic
1071C24C22×D411yescharacteristic
1072C24C22×D411yescharacteristic
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—82no—
1078#41—82no—
1079#41—82no—
1080#41—82no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—22no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
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—41no—
1117C2×Q8—41no—
1118C2×Q8—44no—
1119C2×Q8—44no—
1120C2×Q8—44no—
1121C2×Q8—44no—
1122C2×Q8—81no—
1123C2×Q8—81no—
1124C2×Q8—81no—
1125C2×Q8—81no—
1126C2×Q8—81no—
1127C2×Q8—81no—
1128C2×Q8—81no—
1129C2×Q8—81no—
1130C2×Q8—82no—
1131C2×Q8—82no—
1132C2×Q8—82no—
1133C2×Q8—82no—
1134C2×Q8—82no—
1135C2×Q8—82no—
1136C2×Q8—82no—
1137C2×Q8—82no—
1138C2×Q8C22×D412yes—
1139C2×Q8C22×D412yes—
1140C2×Q8C22×D412yes—
1141C2×Q8C22×D412yes—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—24no—
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—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—82no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
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—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4#12014yes—
1210C2×D4C22×D412yes—
1211C2×D4C22×D412yes—
1212C2×D4H(5,𝔽2)12yes—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—22no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
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—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D412yes—
1284C22×C4C22×D412yes—
1285C22×C4C22×D412yes—
1286C22×C4C22×D412yes—
1287C22×C4C2511yescharacteristic
1288Q16—44no—
1289Q16—44no—
1290Q16—82no—
1291Q16—82no—
1292SD16—28no—
1293SD16—44no—
1294SD16—44no—
1295SD16—44no—
1296SD16—44no—
1297SD16—44no—
1298SD16—44no—
1299SD16—44no—
1300SD16—44no—
1301SD16—82no—
1302D8—28no—
1303D8—44no—
1304D8—44no—
1305D8—82no—
1306M16—44no—
1307M16—44no—
1308M16—44no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—44no—
1332C2×C8H(5,𝔽2)12yes—
1333C2×C8H(5,𝔽2)12yes—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—81no—
1373C4⋊C4—81no—
1374C4⋊C4—81no—
1375C4⋊C4—81no—
1376C4⋊C4—81no—
1377C4⋊C4#12014yes—
1378C4⋊C4C22×D412yes—
1379C4⋊C4C22×D412yes—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C22⋊C4#12014yes—
1434C22⋊C4#12014yes—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—21no—
1442C42—21no—
1443C42—21no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—81no—
1448C42—81no—
1449C42—81no—
1450C42C22×D412yes—
1451C42C22×D412yes—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—48no—
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—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—162no—
1505C23—162no—
1506C23—162no—
1507C23—162no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23C2×#12012yes—
1514C23C2×#12012yes—
1515C23C23×D411yescharacteristic
1516Q8—22no—
1517Q8—22no—
1518Q8—22no—
1519Q8—22no—
1520Q8—22no—
1521Q8—22no—
1522Q8—22no—
1523Q8—22no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—82no—
1537Q8—84no—
1538Q8—84no—
1539Q8—84no—
1540Q8—84no—
1541D4—22no—
1542D4—22no—
1543D4—22no—
1544D4—22no—
1545D4—22no—
1546D4—22no—
1547D4—44no—
1548D4—44no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—84no—
1560D4—84no—
1561D4—82no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—162no—
1568D4—162no—
1569D4—162no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
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—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—44no—
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—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—82no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—162no—
1658C2×C4C2×#12012yes—
1659C2×C4C2×#12012yes—
1660C2×C4C2×#12012yes—
1661C2×C4C2×#12012yes—
1662C2×C4C23×D411yescharacteristic
1663C2×C4C23×D411yescharacteristic
1664C2×C4C2×H(5,𝔽2)11yescharacteristic
1665C2×C4C2×H(5,𝔽2)11yescharacteristic
1666C2×C4C2×H(5,𝔽2)11yescharacteristic
1667C2×C4#58511yescharacteristic
1668C8—22no—
1669C8—22no—
1670C8—41no—
1671C8—41no—
1672C8—41no—
1673C8—41no—
1674C8—41no—
1675C8—41no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
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—168no—
1726C22—168no—
1727C22C22×#12011yescharacteristic
1728C22#348811yescharacteristic
1729C22#349811yescharacteristic
1730C22#358411yescharacteristic
1731C22#358511yescharacteristic
1732C22#358611yescharacteristic
1733C22#358611yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—81no—
1752C4—81no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4—81no—
1757C4#348411yescharacteristic
1758C4#348411yescharacteristic
1759C4#349611yescharacteristic
1760C4#349611yescharacteristic
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—82no—
1765C2—82no—
1766C2—82no—
1767C2—161no—
1768C2#3568011yescharacteristic
1769C2#6036811yescharacteristic
1770C2#6037611yescharacteristic
1771C2#6204811yescharacteristic
1772C2#6208711yescharacteristic
1773C2#6244611yescharacteristic
1774C2#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×#3561C2semidirect
2. C2×#3273C2semidirect
3. C2×#3266C2semidirect
4. #38034C2semidirect
5. #29677C2semidirect
6. #29633C2semidirect
7. #29623C2semidirect
8. #25737C2semidirect
9. #25638C2semidirect
10. #25636C2semidirect
11. #25514C2semidirect
12. #25503C2semidirect
13. #24450C2semidirect
14. #24447C2semidirect
15. #24445C2semidirect
16. #24433C2semidirect
17. #24219C2semidirect
18. #24205C2semidirect
19. #24185C2semidirect
20. #23945C2semidirect
21. #23935C2semidirect
22. #23868C2semidirect
23. #23866C2semidirect
24. #23863C2semidirect
25. #23858C2semidirect
26. #23579C2semidirect
27. #23431C2semidirect
28. #23424C2semidirect
29. #22472C2semidirect
30. #22430C2semidirect
31. #22424C2semidirect
35. C23×SD16C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
45. C2×D4×Q8C22semidirect
50. C2×#546C22semidirect
55. C2×#542C22semidirect
58. C2×#536C22semidirect
59. C2×#533C22semidirect
61. C22×#124C22semidirect
64. C2×#497C22semidirect
69. C2×#467C22semidirect
70. C2×#464C22semidirect
73. C2×#461C22semidirect
77. C2×#452C22semidirect
80. C2×#451C22semidirect
81. C2×#451C22semidirect
83. C2×#448C22semidirect
84. C2×#448C22semidirect
85. C2×#450C22semidirect
88. C2×#440C22semidirect
92. C2×#419C22semidirect
93. C2×#419C22semidirect
94. C2×#418C22semidirect
101. #2625C22semidirect
102. #2620C22semidirect
103. #2592C22semidirect
106. #2538C22semidirect
109. #2415C22semidirect
111. #2408C22semidirect
114. #2324C22semidirect
115. #2309C22semidirect
117. #2057C22semidirect
118. #2043C22semidirect
119. #2043C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
125. #2036C22semidirect
126. #2033C22semidirect
127. #2024C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
130. #2016C22semidirect
131. #2016C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
139. #2013C22semidirect
140. #2013C22semidirect
151. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1981C22semidirect
161. #1959C22semidirect
162. #1956C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
165. #1894C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1880C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1877C22semidirect
180. #1873C22semidirect
181. #1873C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1762C22semidirect
203. C4×#103C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
260. D4×Q8D4semidirect
270. #546D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35612
C2×#32732
C2×#32662
#380342
#296772
#296332
#296232
#257372
#256382
#256362
#255142
#255032
#244502
#244472
#244452
#244332
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