Finite Group Databasebeta

← #6491137

Subgroups — #6491137

Order 512.

3273 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3C2×#3045C211yesmaximal, characteristic, complemented
4#37278C211yesmaximal, characteristic, complemented
5#32917C211yesmaximal, characteristic, complemented
6#32911C211yesmaximal, characteristic, complemented
7#32910C211yesmaximal, characteristic, complemented
8#32904C211yesmaximal, characteristic, complemented
9#29676C211yesmaximal, characteristic, complemented
10#29671C211yesmaximal, characteristic, complemented
11#29666C211yesmaximal, characteristic, complemented
12#29662C211yesmaximal, characteristic, complemented
13#25940C211yesmaximal, characteristic, complemented
14#25930C211yesmaximal, characteristic, complemented
15#25770C211yesmaximal, characteristic, complemented
16#25762C211yesmaximal, characteristic, complemented
17#25644C211yesmaximal, characteristic, complemented
18#25636C211yesmaximal, characteristic, complemented
19#25580C211yesmaximal, characteristic, complemented
20#25574C211yesmaximal, characteristic, complemented
21#23978C211yesmaximal, characteristic, complemented
22#23975C211yesmaximal, characteristic, complemented
23#23966C211yesmaximal, characteristic, complemented
24#23963C211yesmaximal, characteristic, complemented
25#23864C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23853C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#21896C211yesmaximal, characteristic, complemented
30#21855C211yesmaximal, characteristic, complemented
31#20746C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34#3521—28no—
35#3521—28no—
36C2×#556C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic, complemented
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#552—21no—
42C2×#552C2211yescharacteristic
43C2×#551—21no—
44C2×#551—21no—
45C2×#547C2211yescharacteristic
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic, complemented
48C2×#542C2211yescharacteristic
49C2×#541C2211yescharacteristic, complemented
50C2×#539—21no—
51C2×#538—21no—
52C2×#535C2211yescharacteristic, complemented
53C2×#529—21no—
54C2×#529C2211yescharacteristic
55C2×#529C2211yescharacteristic, complemented
56C22×#126—21no—
57C2×#520C2211yescharacteristic
58C2×#518C2211yescharacteristic, complemented
59C2×C4×#41C2211yescharacteristic, complemented
60#3224—28no—
61C2×#496C2211yescharacteristic
62C2×#495C2211yescharacteristic
63C2×#489C2211yescharacteristic, complemented
64C2×#486C2211yescharacteristic, complemented
65#3045—28no—
66C2×#464C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic, complemented
68C2×#464C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic
73C2×#463C2211yescharacteristic
74C2×#463C2211yescharacteristic
75C2×#459C2211yescharacteristic
76C2×#459C2211yescharacteristic
77C2×#459C2211yescharacteristic
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#447C2211yescharacteristic
89C2×#447C2211yescharacteristic, complemented
90C2×#433C2211yescharacteristic, complemented
91C2×#424C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94#2856C2211yescharacteristic, complemented
95#2850C2211yescharacteristic, complemented
96#2714—21no—
97#2711—21no—
98#2685—21no—
99#2678—21no—
100#2676—21no—
101#2673—21no—
102#2670—21no—
103#2669—21no—
104#2620C2211yescharacteristic
105#2619C2211yescharacteristic
106#2592C2211yescharacteristic, complemented
107#2548C2211yescharacteristic, complemented
108#2541C2211yescharacteristic
109#2540C2211yescharacteristic
110#2408C2211yescharacteristic
111#2408C2211yescharacteristic, complemented
112#2407C2211yescharacteristic
113#2407C2211yescharacteristic, complemented
114#2314C2211yescharacteristic, complemented
115#2026C2211yescharacteristic, complemented
116#2026C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2016C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2013C2211yescharacteristic, complemented
126#2013C2211yescharacteristic, complemented
127#2013C2211yescharacteristic, complemented
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic, complemented
131#2001C2211yescharacteristic, complemented
132#2001C2211yescharacteristic, complemented
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic, complemented
147#1988C2211yescharacteristic, complemented
148#1987C2211yescharacteristic, complemented
149#1985C2211yescharacteristic, complemented
150#1984C2211yescharacteristic, complemented
151#1983C2211yescharacteristic, complemented
152#1983C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic, complemented
155#1895C2211yescharacteristic
156#1894C2211yescharacteristic, complemented
157#1893C2211yescharacteristic
158#1892C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic, complemented
187#1824C2211yescharacteristic, complemented
188#1823C2211yescharacteristic, complemented
189#1805C2211yescharacteristic, complemented
190#1805C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1798C2211yescharacteristic, complemented
198#1798C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1797C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C4×#103C2211yescharacteristic, complemented
206C4×#102C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C2×#135—24no—
216C2×#135—42no—
217C2×#135—42no—
218C22×Q16C2311yescharacteristic
219C22×Q16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#556—24no—
237#556—24no—
238#556—24no—
239#556—24no—
240#554—24no—
241#554—24no—
242#553—216no—
243#553—24no—
244#553—24no—
245#552—216no—
246#552—24no—
247#552—24no—
248#551—216no—
249#551—216no—
250#547—24no—
251#547—24no—
252#546—24no—
253#546—24no—
254#546—24no—
255#546—24no—
256#542—24no—
257#542D418yescomplemented
258#541—24no—
259#541—24no—
260#539—216no—
261#538—216no—
262#535—24no—
263#535—24no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127—21no—
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269#529—216no—
270#529—24no—
271#529—24no—
272#529—24no—
273#529—24no—
274C2×#126—216no—
275C2×#126—21no—
276C2×#126—21no—
277C2×#126—21no—
278C2×#126—21no—
279C2×#126—21no—
280C2×#126—21no—
281C2×#126—21no—
282C2×#126—21no—
283C2×#126—21no—
284C2×#126—21no—
285C2×#126D411yescharacteristic
286C2×#126D411yescharacteristic
287C2×#125—21no—
288C2×#125—21no—
289C2×#125—21no—
290C2×#125D411yescharacteristic
291C2×#125C2311yescharacteristic
292C2×#125C2311yescharacteristic
293C2×#124—21no—
294C2×#124—21no—
295C2×#124—21no—
296C2×#124D411yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2311yescharacteristic
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123—21no—
308C2×#123—21no—
309C2×#123D411yescharacteristic
310C2×#123D411yescharacteristic
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8D411yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121D411yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#120—21no—
341C2×#120—21no—
342C2×#120—21no—
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346#520—24no—
347#520D418yescomplemented
348#518—24no—
349#518—24no—
350C4×#41—24no—
351C4×#41—24no—
352C2×C4×Q8—21no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117—21no—
376C2×#117—21no—
377C2×#117—21no—
378C2×#117—21no—
379C2×#117—21no—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C22×C4⋊C4—21no—
385C22×C4⋊C4—21no—
386C22×C4⋊C4—21no—
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4—21no—
389C22×C22⋊C4—21no—
390C22×C22⋊C4—21no—
391C22×C22⋊C4—21no—
392C22×C42—21no—
393C22×C42C2311yescharacteristic
394#496—24no—
395#495—24no—
396#489—24no—
397#486—24no—
398#464—24no—
399#464—24no—
400#464—24no—
401#463—24no—
402#463—24no—
403#463—24no—
404#460—24no—
405#460—24no—
406#460—24no—
407#459—24no—
408#459—24no—
409#459—24no—
410#452—24no—
411#452—42no—
412#450—24no—
413#450—42no—
414#449—24no—
415#449—42no—
416#449—42no—
417#449—42no—
418#447—24no—
419#447—42no—
420#447—42no—
421#447—42no—
422#433—24no—
423#424—24no—
424C2×C4⋊C8C2311yescharacteristic
425C2×C4⋊C8C2311yescharacteristic
426C2×C4⋊C8C2311yescharacteristic
427C2×C4⋊C8C2311yescharacteristic
428C2×C4⋊C8C2311yescharacteristic
429C2×C4⋊C8C2311yescharacteristic
430#417—24no—
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#102—24no—
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×#97C2311yescharacteristic
475C2×C4×C8C2311yescharacteristic
476#399—21no—
477#397—21no—
478#396—21no—
479#396—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#393—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#392—21no—
495#392—21no—
496#392—21no—
497#392—21no—
498#392—21no—
499#392—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390—21no—
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#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#387—21no—
521#387—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#385—21no—
527#385—21no—
528#384C2311yescharacteristic
529#382C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#379—21no—
533#379—21no—
534C4×C4⋊C4C2311yescharacteristic
535C4×C4⋊C4C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41C2×D414yes—
580C22×Q8—21no—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×Q8C2411yescharacteristic
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4C2×D411yescharacteristic
633C23×C4C2×D411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637AGL(1,ℤ/8)—416no—
638#135—416no—
639C2×Q16—22no—
640C2×Q16—22no—
641C2×Q16—41no—
642C2×Q16—41no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×M16—22no—
688C2×M16—41no—
689C2×M16—41no—
690C22×C8—22no—
691C22×C8—41no—
692C22×C8—41no—
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C4⋊Q8—22no—
702C4⋊Q8—22no—
703C4⋊Q8—22no—
704C4⋊Q8C2×D414yes—
705#127—22no—
706#127—22no—
707#127—22no—
708#127—22no—
709#127—82no—
710#126—28no—
711#126—28no—
712#126—28no—
713#126—28no—
714#126—28no—
715#126—28no—
716#126—28no—
717#126—28no—
718#126—28no—
719#126—24no—
720#126—28no—
721#126—24no—
722#125—28no—
723#125—28no—
724#125—28no—
725#125—24no—
726#125—22no—
727#125—22no—
728#125—22no—
729#125—22no—
730#124—28no—
731#124—22no—
732#124—22no—
733#124—28no—
734#124—24no—
735#124—22no—
736#124—22no—
737#124—22no—
738#124—22no—
739#124—22no—
740#124—82no—
741#124C2×D414yes—
742#123—28no—
743#123—28no—
744#123—28no—
745#123—28no—
746#123—28no—
747#123—28no—
748#123—28no—
749#123—24no—
750#123—28no—
751#123—24no—
752C22⋊Q8—28no—
753C22⋊Q8—28no—
754C22⋊Q8—28no—
755C22⋊Q8—28no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—28no—
761C22⋊Q8—24no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8C2×D414yes—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—24no—
778#121—44no—
779#121—44no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—41no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—82no—
793#121—82no—
794#121C2×D414yes—
795#120—28no—
796#120—28no—
797#120—44no—
798#120—44no—
799#120—82no—
800#120—82no—
801C4×Q8—28no—
802C4×Q8—22no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8C2×D414yes—
810C4×Q8C2×D414yes—
811C4×Q8C2×D414yes—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4C2×D414yes—
836C4×D4C2×D414yes—
837C4×D4C2×D414yes—
838#117—28no—
839#117—28no—
840#117—28no—
841#117—28no—
842#117—28no—
843#117—22no—
844#117—22no—
845#117—22no—
846#117—22no—
847#117—22no—
848#117—22no—
849#117C2×D414yes—
850#117C2×D414yes—
851C2×C4⋊C4—28no—
852C2×C4⋊C4—28no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—22no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—28no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4C2×D411yescharacteristic
876C2×C4⋊C4C2×D411yescharacteristic
877C2×C4⋊C4C2×D411yescharacteristic
878C2×C4⋊C4C2×D411yescharacteristic
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C4⋊C4C2×D411yescharacteristic
881C2×C4⋊C4C2×D411yescharacteristic
882C2×C4⋊C4C2×D411yescharacteristic
883C2×C4⋊C4C2×D414yes—
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C22⋊C4—28no—
895C2×C22⋊C4—28no—
896C2×C22⋊C4—28no—
897C2×C22⋊C4—28no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C42—28no—
953C2×C42—21no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—21no—
958C2×C42—21no—
959C2×C42—22no—
960C2×C42—22no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42C2×D411yescharacteristic
964C2×C42C2×D411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969C4⋊C8—22no—
970C4⋊C8—22no—
971C4⋊C8—22no—
972C4⋊C8—22no—
973C4⋊C8—22no—
974C4⋊C8—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—41no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103—41no—
984#103—41no—
985#103—41no—
986#103—41no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—41no—
1004#102—41no—
1005#102—41no—
1006#102—41no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—41no—
1010C22⋊C8—41no—
1011C22⋊C8—41no—
1012C22⋊C8—41no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017#97—22no—
1018C4×C8—22no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029C24—21no—
1030C24—24no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—42no—
1036C24—42no—
1037C24—42no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24—81no—
1046C24—81no—
1047C24—81no—
1048C24C22×D411yescharacteristic
1049C24C22×D411yescharacteristic
1050C24C22×D411yescharacteristic
1051#41—28no—
1052#41—44no—
1053#41—44no—
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—44no—
1059#41—44no—
1060#41—44no—
1061#41—82no—
1062#41—82no—
1063C2×Q8—22no—
1064C2×Q8—24no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8C22×D412yes—
1086C2×Q8C22×D412yes—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—22no—
1092C2×D4—24no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4C22×D412yes—
1182C2×D4C22×D412yes—
1183C2×D4H(5,𝔽2)12yes—
1184C2×D4H(5,𝔽2)12yes—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—24no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D412yes—
1260C22×C4C22×D412yes—
1261C22×C4C2511yescharacteristic
1262Q16—44no—
1263Q16—82no—
1264SD16—44no—
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—82no—
1269SD16—82no—
1270SD16—82no—
1271SD16—82no—
1272D8—44no—
1273D8—44no—
1274D8—44no—
1275D8—82no—
1276D8—82no—
1277D8—82no—
1278M16—44no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—44no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4—81no—
1344C4⋊C4#12014yes—
1345C4⋊C4#12014yes—
1346C4⋊C4C22×D412yes—
1347C4⋊C4C22×D412yes—
1348C4⋊C4C22×D412yes—
1349C4⋊C4C22×D412yes—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4#12014yes—
1403C22⋊C4#12014yes—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—81no—
1417C42—81no—
1418C42C22×D412yes—
1419C42C22×D412yes—
1420C42C22×D412yes—
1421C42C22×D412yes—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—48no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23C2×#12012yes—
1492C23C23×D411yescharacteristic
1493Q8—22no—
1494Q8—22no—
1495Q8—22no—
1496Q8—22no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8—82no—
1506Q8—84no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—82no—
1530D4—84no—
1531D4—82no—
1532D4—82no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4#53514yes—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—82no—
1623C2×C4—82no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4C2×#12012yes—
1633C2×C4C2×#12012yes—
1634C2×C4C2×#12012yes—
1635C2×C4C2×#12012yes—
1636C2×C4C2×#12012yes—
1637C2×C4C23×D411yescharacteristic
1638C2×C4C23×D411yescharacteristic
1639C2×C4C2×H(5,𝔽2)11yescharacteristic
1640C2×C4C2×H(5,𝔽2)11yescharacteristic
1641C2×C4#58511yescharacteristic
1642C2×C4#58511yescharacteristic
1643C8—41no—
1644C8—41no—
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8—41no—
1649C8—41no—
1650C8—41no—
1651C22—22no—
1652C22—24no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—168no—
1708C22—168no—
1709C22C22×#12011yescharacteristic
1710C22#348811yescharacteristic
1711C22#348811yescharacteristic
1712C22#358411yescharacteristic
1713C22#358411yescharacteristic
1714C22#358511yescharacteristic
1715C22#358511yescharacteristic
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4C2×#53511yescharacteristic
1739C4#344911yescharacteristic
1740C4#348811yescharacteristic
1741C4#348811yescharacteristic
1742C2—42no—
1743C2—44no—
1744C2—81no—
1745C2—81no—
1746C2—82no—
1747C2—161no—
1748C2—161no—
1749C2—161no—
1750C2#3525011yescharacteristic
1751C2#6037611yescharacteristic
1752C2#6037611yescharacteristic
1753C2#6202411yescharacteristic
1754C2#6204711yescharacteristic
1755C2#6205911yescharacteristic
1756C2#6207911yescharacteristic
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×#3521C2semidirect
2. C2×#3224C2semidirect
3. C2×#3045C2semidirect
4. #37278C2semidirect
5. #32917C2semidirect
6. #32911C2semidirect
7. #32910C2semidirect
8. #32904C2semidirect
9. #29676C2semidirect
10. #29671C2semidirect
11. #29666C2semidirect
12. #29662C2semidirect
13. #25940C2semidirect
14. #25930C2semidirect
15. #25770C2semidirect
16. #25762C2semidirect
17. #25644C2semidirect
18. #25636C2semidirect
19. #25580C2semidirect
20. #25574C2semidirect
21. #23978C2semidirect
22. #23975C2semidirect
23. #23966C2semidirect
24. #23963C2semidirect
25. #23864C2semidirect
26. #23861C2semidirect
27. #23853C2semidirect
28. #23850C2semidirect
29. #21896C2semidirect
30. #21855C2semidirect
31. #20746C2semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
47. C2×#546C22semidirect
49. C2×#541C22semidirect
52. C2×#535C22semidirect
55. C2×#529C22semidirect
58. C2×#518C22semidirect
59. C2×C4×#41C22semidirect
63. C2×#489C22semidirect
64. C2×#486C22semidirect
66. C2×#464C22semidirect
67. C2×#464C22semidirect
68. C2×#464C22semidirect
69. C2×#460C22semidirect
70. C2×#460C22semidirect
71. C2×#460C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
83. C2×#449C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#433C22semidirect
91. C2×#424C22semidirect
92. C2×#417C22semidirect
93. C22×#102C22semidirect
94. #2856C22semidirect
95. #2850C22semidirect
106. #2592C22semidirect
107. #2548C22semidirect
111. #2408C22semidirect
113. #2407C22semidirect
114. #2314C22semidirect
115. #2026C22semidirect
116. #2026C22semidirect
117. #2025C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2025C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2016C22semidirect
124. #2015C22semidirect
125. #2013C22semidirect
126. #2013C22semidirect
127. #2013C22semidirect
130. #2012C22semidirect
131. #2001C22semidirect
132. #2001C22semidirect
133. #2001C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
146. #1999C22semidirect
147. #1988C22semidirect
148. #1987C22semidirect
149. #1985C22semidirect
150. #1984C22semidirect
151. #1983C22semidirect
152. #1983C22semidirect
153. #1955C22semidirect
154. #1954C22semidirect
156. #1894C22semidirect
158. #1892C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1873C22semidirect
182. #1873C22semidirect
184. #1870C22semidirect
186. #1869C22semidirect
187. #1824C22semidirect
188. #1823C22semidirect
189. #1805C22semidirect
190. #1805C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1803C22semidirect
195. #1802C22semidirect
196. #1802C22semidirect
197. #1798C22semidirect
198. #1798C22semidirect
199. #1797C22semidirect
200. #1797C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. C4×#103C22semidirect
206. C4×#102C22semidirect
257. #542D4semidirect
347. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#32242
C2×#30452
#372782
#329172
#329112
#329102
#329042
#296762
#296712
#296662
#296622
#259402
#259302
#257702
#257622
#256442
#256362
#255802
#255742
#239782
#239752
#239662
#239632
#238642
#238612
#238532
#238502
#218962
#218552
#207462