Finite Group Databasebeta

← #6533609

Subgroups — #6533609

Order 512.

3545 conjugacy classes of subgroups.

The subgroup lattice has 1855 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3558C211yesmaximal, characteristic, complemented
2C2×#3274C211yesmaximal, characteristic, complemented
3C2×#3271C211yesmaximal, characteristic, complemented
4#38033C211yesmaximal, characteristic, complemented
5#29669C211yesmaximal, characteristic, complemented
6#29630C211yesmaximal, characteristic, complemented
7#29623C211yesmaximal, characteristic, complemented
8#25734C211yesmaximal, characteristic, complemented
9#25642C211yesmaximal, characteristic, complemented
10#25633C211yesmaximal, characteristic, complemented
11#25513C211yesmaximal, characteristic, complemented
12#25502C211yesmaximal, characteristic, complemented
13#24455C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24440C211yesmaximal, characteristic, complemented
16#24434C211yesmaximal, characteristic, complemented
17#24220C211yesmaximal, characteristic, complemented
18#24202C211yesmaximal, characteristic, complemented
19#24194C211yesmaximal, characteristic, complemented
20#23947C211yesmaximal, characteristic, complemented
21#23932C211yesmaximal, characteristic, complemented
22#23871C211yesmaximal, characteristic, complemented
23#23863C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23850C211yesmaximal, characteristic, complemented
26#23581C211yesmaximal, characteristic, complemented
27#23431C211yesmaximal, characteristic, complemented
28#23426C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22429C211yesmaximal, characteristic, complemented
31#22423C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36#3558—28no—
37#3558—28no—
38C2×#562—21no—
39C2×H(3,𝔽4)—21no—
40C2×#559C2211yescharacteristic
41C2×#559C2211yescharacteristic
42C2×#550C2211yescharacteristic, complemented
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#546—21no—
46C2×#546—21no—
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×D42C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#542C2211yescharacteristic
53C2×#538—21no—
54C2×#538—21no—
55C2×#538—21no—
56C2×#535C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#534—21no—
59C2×#532C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C22×#124C2211yescharacteristic
62#3274—28no—
63#3271—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#493C2211yescharacteristic
66C2×#469C2211yescharacteristic
67C2×#469C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#465C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic
72C2×#460C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#449C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#441C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C2×#419C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic
95C22×#102C2211yescharacteristic, complemented
96#2854C2211yescharacteristic, complemented
97#2709—21no—
98#2703—21no—
99#2673—21no—
100#2672—21no—
101#2624C2211yescharacteristic, complemented
102#2619C2211yescharacteristic, complemented
103#2581C2211yescharacteristic, complemented
104#2559—21no—
105#2555—21no—
106#2548C2211yescharacteristic, complemented
107#2467—21no—
108#2460—21no—
109#2416C2211yescharacteristic, complemented
110#2414C2211yescharacteristic, complemented
111#2407C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2352C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2311C2211yescharacteristic, complemented
116#2297C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2034C2211yescharacteristic
127#2024C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic
161#1961C2211yescharacteristic
162#1958C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C2×#137—24no—
219C2×#137—42no—
220C2×#137—42no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×#135—24no—
228C2×#135—42no—
229C2×#135—42no—
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#562—216no—
253H(3,𝔽4)—216no—
254#559—24no—
255#559—24no—
256#559—24no—
257#559—24no—
258#550—24no—
259#550—24no—
260#548—24no—
261#548—24no—
262#548—24no—
263#548D418yescomplemented
264#546—216no—
265#546—216no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546—24no—
270D42—24no—
271D42—24no—
272D42—24no—
273D42D418yescomplemented
274#542—24no—
275#542—24no—
276#542—24no—
277#542—24no—
278#538—216no—
279#538—216no—
280#538—216no—
281#535—24no—
282#535—24no—
283#535—24no—
284#535—24no—
285#534—216no—
286#532—24no—
287#532—24no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×#127—21no—
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294#529—24no—
295#529—24no—
296C2×#126—21no—
297C2×#126—21no—
298C2×#126D411yescharacteristic
299C2×#126D411yescharacteristic
300C2×#125D411yescharacteristic
301C2×#124—24no—
302C2×#124—21no—
303C2×#124—21no—
304C2×#124—24no—
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124—21no—
309C2×#124—21no—
310C2×#124—21no—
311C2×#124—21no—
312C2×#124—21no—
313C2×#124D411yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
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⋊Q8D411yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121—21no—
340C2×#121—21no—
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×#121D411yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#120—21no—
363C2×#120—21no—
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×C4×D4—21no—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4—21no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C42C2311yescharacteristic
398#496—24no—
399#493—24no—
400#469—24no—
401#469—24no—
402#469—24no—
403#465—24no—
404#464—24no—
405#460—24no—
406#460—24no—
407#459—24no—
408#452—24no—
409#452—42no—
410#450—42no—
411#449—24no—
412#449—24no—
413#449—24no—
414#449—24no—
415#449—42no—
416#449—42no—
417#448—24no—
418#447—24no—
419#447—24no—
420#447—42no—
421#447—42no—
422#441—24no—
423C4×SD16—24no—
424#436—24no—
425#435—24no—
426C2×#106C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×C4⋊C8C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430#419—42no—
431#418—42no—
432#417—42no—
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#102—42no—
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
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×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#399—21no—
482#397—21no—
483#396—21no—
484#395—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#392—21no—
496#392—21no—
497#392—21no—
498#392—21no—
499#392—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390—21no—
504#390—21no—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389—21no—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#387—21no—
522#387—21no—
523#387—21no—
524#387—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#386—21no—
534#385—21no—
535#385—21no—
536#382C2311yescharacteristic
537#380—21no—
538#380—21no—
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542C4×C4⋊C4C2311yescharacteristic
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—
568C25—21no—
569C2×#41—28no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
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—82no—
594C2×#41—82no—
595C2×#41C2×D414yes—
596C22×Q8—21no—
597C22×Q8—21no—
598C22×Q8—22no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8C2×D414yes—
604C22×Q8C2×D411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—28no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—28no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—21no—
619C22×D4—21no—
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—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—82no—
650C22×D4—82no—
651C22×D4—82no—
652C22×D4—82no—
653C22×D4C2×D411yescharacteristic
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D414yes—
656C22×D4C2×D414yes—
657C22×D4C2×D411yescharacteristic
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4C2×D411yescharacteristic
675C23×C4C2×D411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679#137—416no—
680AGL(1,ℤ/8)—416no—
681AGL(1,ℤ/8)—416no—
682#135—416no—
683C2×Q16—22no—
684C2×Q16—22no—
685C2×Q16—22no—
686C2×Q16—22no—
687C2×Q16—22no—
688C2×Q16—41no—
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—22no—
701C2×SD16—22no—
702C2×SD16—22no—
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×SD16—41no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×D8—41no—
732C2×D8—41no—
733C2×D8—41no—
734C2×D8—41no—
735C2×D8—41no—
736C2×D8—41no—
737C2×M16—22no—
738C2×M16—22no—
739C2×M16—22no—
740C2×M16—22no—
741C2×M16—22no—
742C2×M16—22no—
743C2×M16—41no—
744C2×M16—41no—
745C2×M16—41no—
746C22×C8—22no—
747C22×C8—22no—
748C22×C8—41no—
749C22×C8C2411yescharacteristic
750C22×C8C2411yescharacteristic
751C22×C8C2411yescharacteristic
752C22×C8C2411yescharacteristic
753C22×C8C2411yescharacteristic
754C22×C8C2411yescharacteristic
755C22×C8C2411yescharacteristic
756C22×C8C2411yescharacteristic
757C4⋊Q8—22no—
758C4⋊Q8—22no—
759#127—22no—
760#127—22no—
761#127—22no—
762#127—22no—
763#127—22no—
764#127—22no—
765#127—22no—
766#127—44no—
767#127C2×D414yes—
768#126—28no—
769#126—28no—
770#126—24no—
771#126—24no—
772#125—24no—
773#124—28no—
774#124—28no—
775#124—28no—
776#124—28no—
777#124—28no—
778#124—28no—
779#124—28no—
780#124—28no—
781#124—22no—
782#124—22no—
783#124—22no—
784#124—22no—
785#124—22no—
786#124—22no—
787#124—22no—
788#124—22no—
789#124—22no—
790#124—22no—
791#124—28no—
792#124—24no—
793#124—22no—
794#124—82no—
795#124C2×D414yes—
796#123—28no—
797#123—28no—
798#123—28no—
799#123—28no—
800#123—28no—
801#123—28no—
802#123—28no—
803#123—28no—
804#123—24no—
805#123—24no—
806#123—82no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—28no—
813C22⋊Q8—22no—
814C22⋊Q8—24no—
815C22⋊Q8—22no—
816C22⋊Q8—41no—
817C22⋊Q8C2×D414yes—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—28no—
827#121—28no—
828#121—24no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—28no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—44no—
840#121—44no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—82no—
846#121C2×D414yes—
847#121C2×D414yes—
848#121C2×D414yes—
849#120—28no—
850#120—28no—
851#120—28no—
852#120—28no—
853#120—28no—
854#120—28no—
855#120—28no—
856#120—28no—
857#120—28no—
858#120—28no—
859C4×Q8—22no—
860C4×Q8—22no—
861C4×Q8—22no—
862C4×Q8—22no—
863C4×Q8—22no—
864C4×Q8—22no—
865C4×Q8—22no—
866C4×Q8C2×D414yes—
867C4×D4—28no—
868C4×D4—28no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—22no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—28no—
882C4×D4—22no—
883C4×D4—44no—
884C4×D4C2×D414yes—
885C4×D4C2×D414yes—
886C4×D4C2×D414yes—
887#117—22no—
888#117—22no—
889#117—22no—
890#117—22no—
891#117—41no—
892#117—41no—
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—21no—
903C2×C4⋊C4—21no—
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—28no—
926C2×C22⋊C4—28no—
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—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
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—22no—
983C2×C42—22no—
984C2×C42—21no—
985C2×C42—21no—
986C2×C42—21no—
987C2×C42C2×D411yescharacteristic
988C2×C42C2×D411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993#106—22no—
994#106—22no—
995C4⋊C8—22no—
996C4⋊C8—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#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
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—41no—
1022#102—41no—
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—
1032#102—41no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038C22⋊C8—22no—
1039C22⋊C8—41no—
1040C22⋊C8—41no—
1041#97—22no—
1042C4×C8—22no—
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—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058C24—24no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—24no—
1064C24—24no—
1065C24—21no—
1066C24—21no—
1067C24—42no—
1068C24—42no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24C22×D411yescharacteristic
1086C24C22×D411yescharacteristic
1087C24C22×D411yescharacteristic
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—82no—
1095#41—82no—
1096#41—82no—
1097#41—82no—
1098#41—82no—
1099#41—82no—
1100#41—82no—
1101#41—82no—
1102#41—816no—
1103#41—82no—
1104#41—82no—
1105C2×Q8—24no—
1106C2×Q8—22no—
1107C2×Q8—24no—
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—21no—
1122C2×Q8—21no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—81no—
1128C2×Q8—81no—
1129C2×Q8—81no—
1130C2×Q8—81no—
1131C2×Q8—82no—
1132C2×Q8—82no—
1133C2×Q8C22×D412yes—
1134C2×Q8C22×D412yes—
1135C2×Q8H(5,𝔽2)12yes—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
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—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
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—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
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—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—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—816no—
1258C2×D4—816no—
1259C2×D4#12014yes—
1260C2×D4C22×D412yes—
1261C2×D4C22×D412yes—
1262C2×D4C22×D412yes—
1263C2×D4C22×D412yes—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—22no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4—81no—
1310C22×C4—81no—
1311C22×C4—81no—
1312C22×C4—81no—
1313C22×C4—81no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4—81no—
1319C22×C4—81no—
1320C22×C4—81no—
1321C22×C4—81no—
1322C22×C4—81no—
1323C22×C4—81no—
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D411yescharacteristic
1329C22×C4C22×D411yescharacteristic
1330C22×C4C22×D411yescharacteristic
1331C22×C4C22×D411yescharacteristic
1332C22×C4C22×D411yescharacteristic
1333C22×C4C22×D411yescharacteristic
1334C22×C4C22×D411yescharacteristic
1335C22×C4C22×D412yes—
1336C22×C4C22×D412yes—
1337C22×C4C22×D412yes—
1338C22×C4C22×D412yes—
1339C22×C4C2511yescharacteristic
1340Q16—28no—
1341Q16—44no—
1342SD16—28no—
1343SD16—44no—
1344SD16—44no—
1345SD16—44no—
1346SD16—44no—
1347SD16—44no—
1348SD16—44no—
1349SD16—82no—
1350D8—44no—
1351D8—44no—
1352D8—44no—
1353D8—44no—
1354D8—44no—
1355D8—82no—
1356D8—82no—
1357D8—82no—
1358M16—44no—
1359M16—44no—
1360M16—44no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—44no—
1384C2×C8H(5,𝔽2)12yes—
1385C2×C8H(5,𝔽2)12yes—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—81no—
1416C4⋊C4—81no—
1417C4⋊C4—81no—
1418C4⋊C4#12014yes—
1419C4⋊C4C22×D412yes—
1420C4⋊C4C22×D412yes—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—81no—
1457C22⋊C4—81no—
1458C22⋊C4—81no—
1459C22⋊C4—81no—
1460C22⋊C4—81no—
1461C22⋊C4—81no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C22⋊C4—81no—
1467C22⋊C4—81no—
1468C22⋊C4—81no—
1469C22⋊C4—81no—
1470C22⋊C4—81no—
1471C22⋊C4—81no—
1472C22⋊C4#12014yes—
1473C22⋊C4#12014yes—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—42no—
1485C42—81no—
1486C42—81no—
1487C42C22×D412yes—
1488C42C22×D412yes—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—48no—
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—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23—84no—
1555C23—84no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23—162no—
1560C23—162no—
1561C23—162no—
1562C23—162no—
1563C23—162no—
1564C23—162no—
1565C23—162no—
1566C23—162no—
1567C23—162no—
1568C23—162no—
1569C23—162no—
1570C23—162no—
1571C23C2×#12012yes—
1572C23C2×#12012yes—
1573C23C23×D411yescharacteristic
1574Q8—22no—
1575Q8—22no—
1576Q8—22no—
1577Q8—22no—
1578Q8—22no—
1579Q8—22no—
1580Q8—41no—
1581Q8—41no—
1582Q8—41no—
1583Q8—41no—
1584Q8—41no—
1585Q8—41no—
1586Q8—82no—
1587Q8—84no—
1588Q8—84no—
1589D4—22no—
1590D4—22no—
1591D4—22no—
1592D4—22no—
1593D4—22no—
1594D4—22no—
1595D4—22no—
1596D4—22no—
1597D4—44no—
1598D4—44no—
1599D4—48no—
1600D4—48no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—41no—
1614D4—41no—
1615D4—41no—
1616D4—41no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—82no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634D4—162no—
1635D4—162no—
1636D4—162no—
1637D4—162no—
1638D4—162no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—44no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—82no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4—162no—
1722C2×C4C2×#12012yes—
1723C2×C4C2×#12012yes—
1724C2×C4C2×#12012yes—
1725C2×C4C2×#12012yes—
1726C2×C4C23×D411yescharacteristic
1727C2×C4C23×D411yescharacteristic
1728C2×C4C2×H(5,𝔽2)11yescharacteristic
1729C2×C4C2×H(5,𝔽2)11yescharacteristic
1730C2×C4C2×H(5,𝔽2)11yescharacteristic
1731C2×C4#58511yescharacteristic
1732C8—22no—
1733C8—22no—
1734C8—41no—
1735C8—41no—
1736C8—41no—
1737C8—41no—
1738C8—41no—
1739C8—41no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—81no—
1785C22—81no—
1786C22—81no—
1787C22—81no—
1788C22—81no—
1789C22—81no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—168no—
1804C22—168no—
1805C22—168no—
1806C22C22×#12011yescharacteristic
1807C22#348811yescharacteristic
1808C22#349811yescharacteristic
1809C22#358411yescharacteristic
1810C22#358511yescharacteristic
1811C22#358511yescharacteristic
1812C22#358511yescharacteristic
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—81no—
1830C4—81no—
1831C4—81no—
1832C4—81no—
1833C4—81no—
1834C4#348411yescharacteristic
1835C4#348411yescharacteristic
1836C4#349611yescharacteristic
1837C4#349611yescharacteristic
1838C2—42no—
1839C2—42no—
1840C2—81no—
1841C2—82no—
1842C2—82no—
1843C2—82no—
1844C2—82no—
1845C2—161no—
1846C2—161no—
1847C2#3568011yescharacteristic
1848C2#6036711yescharacteristic
1849C2#6037611yescharacteristic
1850C2#6204911yescharacteristic
1851C2#6209311yescharacteristic
1852C2#6244311yescharacteristic
1853C2#6246811yescharacteristic
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×#3558C2semidirect
2. C2×#3274C2semidirect
3. C2×#3271C2semidirect
4. #38033C2semidirect
5. #29669C2semidirect
6. #29630C2semidirect
7. #29623C2semidirect
8. #25734C2semidirect
9. #25642C2semidirect
10. #25633C2semidirect
11. #25513C2semidirect
12. #25502C2semidirect
13. #24455C2semidirect
14. #24444C2semidirect
15. #24440C2semidirect
16. #24434C2semidirect
17. #24220C2semidirect
18. #24202C2semidirect
19. #24194C2semidirect
20. #23947C2semidirect
21. #23932C2semidirect
22. #23871C2semidirect
23. #23863C2semidirect
24. #23860C2semidirect
25. #23850C2semidirect
26. #23581C2semidirect
27. #23431C2semidirect
28. #23426C2semidirect
29. #22472C2semidirect
30. #22429C2semidirect
31. #22423C2semidirect
32. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
42. C2×#550C22semidirect
64. C2×#496C22semidirect
67. C2×#469C22semidirect
68. C2×#469C22semidirect
69. C2×#465C22semidirect
70. C2×#464C22semidirect
72. C2×#460C22semidirect
73. C2×#459C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
81. C2×#449C22semidirect
82. C2×#448C22semidirect
83. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#441C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#417C22semidirect
93. C2×#419C22semidirect
95. C22×#102C22semidirect
96. #2854C22semidirect
101. #2624C22semidirect
102. #2619C22semidirect
103. #2581C22semidirect
106. #2548C22semidirect
109. #2416C22semidirect
110. #2414C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
113. #2352C22semidirect
114. #2323C22semidirect
115. #2311C22semidirect
116. #2297C22semidirect
117. #2058C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
124. #2041C22semidirect
125. #2035C22semidirect
127. #2024C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
136. #2014C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2001C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
162. #1958C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1894C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1864C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1762C22semidirect
203. C4×#103C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
263. #548D4semidirect
273. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35582
C2×#32742
C2×#32712
#380332
#296692
#296302
#296232
#257342
#256422
#256332
#255132
#255022
#244552
#244442
#244402
#244342
#242202
#242022
#241942
#239472
#239322
#238712
#238632
#238602
#238502
#235812
#234312
#234262
#224722
#224292
#224232