Finite Group Databasebeta

← #6500244

Subgroups — #6500244

Order 512.

3253 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3540C211yesmaximal, characteristic, complemented
2C2×#3201C211yesmaximal, characteristic, complemented
3C2×#3198C211yesmaximal, characteristic, complemented
4#35518C211yesmaximal, characteristic, complemented
5#25558C211yesmaximal, characteristic, complemented
6#25556C211yesmaximal, characteristic, complemented
7#25554C211yesmaximal, characteristic, complemented
8#25552C211yesmaximal, characteristic, complemented
9#25542C211yesmaximal, characteristic, complemented
10#25540C211yesmaximal, characteristic, complemented
11#25538C211yesmaximal, characteristic, complemented
12#25536C211yesmaximal, characteristic, complemented
13#24455C211yesmaximal, characteristic, complemented
14#24450C211yesmaximal, characteristic, complemented
15#24447C211yesmaximal, characteristic, complemented
16#24442C211yesmaximal, characteristic, complemented
17#24439C211yesmaximal, characteristic, complemented
18#24434C211yesmaximal, characteristic, complemented
19#24431C211yesmaximal, characteristic, complemented
20#24426C211yesmaximal, characteristic, complemented
21#24074C211yesmaximal, characteristic, complemented
22#24073C211yesmaximal, characteristic, complemented
23#24007C211yesmaximal, characteristic, complemented
24#24004C211yesmaximal, characteristic, complemented
25#23947C211yesmaximal, characteristic, complemented
26#23947C211yesmaximal, characteristic, complemented
27#23923C211yesmaximal, characteristic, complemented
28#23923C211yesmaximal, characteristic, complemented
29#21744C211yesmaximal, characteristic, complemented
30#20914C211yesmaximal, characteristic, complemented
31#20913C211yesmaximal, characteristic, complemented
32#3540—28no—
33#3540—28no—
34C2×H(3,𝔽4)—21no—
35C2×#560—21no—
36C2×#559—21no—
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#551—21no—
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×#542—21no—
47C2×#542—21no—
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#538—21no—
51C2×#538—21no—
52C2×#537C2211yescharacteristic
53C2×#536C2211yescharacteristic
54C2×#535C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C2×#525C2211yescharacteristic, complemented
59C2×#520C2211yescharacteristic
60#3201—28no—
61#3198—28no—
62C2×#484C2211yescharacteristic, complemented
63C2×#481C2211yescharacteristic
64C2×#485C2211yescharacteristic, complemented
65C2×#485C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#482C2211yescharacteristic, complemented
68C2×#483C2211yescharacteristic, complemented
69C2×#480C2211yescharacteristic
70C2×#470C2211yescharacteristic, complemented
71C2×#469C2211yescharacteristic, complemented
72C2×#468C2211yescharacteristic, complemented
73C2×#468C2211yescharacteristic, complemented
74C2×#467C2211yescharacteristic, complemented
75C2×#466C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic
85C2×#449C2211yescharacteristic
86C2×#451C2211yescharacteristic, complemented
87C2×#448C2211yescharacteristic, complemented
88C2×#450C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic, complemented
90C2×#419C2211yescharacteristic, complemented
91C2×#418C2211yescharacteristic, complemented
92C22×#103C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic
95C2×#408C2211yescharacteristic
96#2538—21no—
97#2537—21no—
98#2536—21no—
99#2535—21no—
100#2425—21no—
101#2425—21no—
102#2424—21no—
103#2424—21no—
104#2417C2211yescharacteristic
105#2417C2211yescharacteristic, complemented
106#2416C2211yescharacteristic
107#2416C2211yescharacteristic, complemented
108#2415C2211yescharacteristic
109#2415C2211yescharacteristic, complemented
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic, complemented
112#2317C2211yescharacteristic, complemented
113#2311C2211yescharacteristic, complemented
114C2×#380C2211yescharacteristic, complemented
115#2058C2211yescharacteristic, complemented
116#2058C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic
131#2024C2211yescharacteristic, complemented
132#2024C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1880C2211yescharacteristic, complemented
148#1880C2211yescharacteristic, complemented
149#1879C2211yescharacteristic, complemented
150#1879C2211yescharacteristic, complemented
151#1878C2211yescharacteristic, complemented
152#1878C2211yescharacteristic, complemented
153#1877C2211yescharacteristic, complemented
154#1877C2211yescharacteristic, complemented
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic
157#1875C2211yescharacteristic, complemented
158#1875C2211yescharacteristic, complemented
159#1875C2211yescharacteristic, complemented
160#1875C2211yescharacteristic, complemented
161#1874C2211yescharacteristic
162#1874C2211yescharacteristic
163#1874C2211yescharacteristic, complemented
164#1874C2211yescharacteristic, complemented
165#1873C2211yescharacteristic, complemented
166#1873C2211yescharacteristic, complemented
167#1873C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1873C2211yescharacteristic, complemented
170#1873C2211yescharacteristic, complemented
171#1872C2211yescharacteristic, complemented
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1854C2211yescharacteristic, complemented
195#1818C2211yescharacteristic, complemented
196#1818C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1779C2211yescharacteristic, complemented
202#1779C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205#1735C2211yescharacteristic, complemented
206#1735C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226H(3,𝔽4)—216no—
227#560—216no—
228#559—216no—
229#556—24no—
230#556—24no—
231#556—24no—
232#556—24no—
233#555—24no—
234#555—24no—
235#555—24no—
236#555—24no—
237#551—216no—
238#548—24no—
239#548—24no—
240#548—24no—
241#548—24no—
242#546—24no—
243#546—24no—
244#546—24no—
245#546—24no—
246#542—216no—
247#542—216no—
248#542—24no—
249#542—24no—
250#542—24no—
251#542—24no—
252#538—216no—
253#538—216no—
254#537—24no—
255#537—24no—
256#536—24no—
257#536D418yescomplemented
258#535—24no—
259#535D418yescomplemented
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127—21no—
264C2×#126—21no—
265C2×#126—21no—
266C2×#126—21no—
267C2×#126—21no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#124—21no—
271C2×#124—21no—
272C2×#124—21no—
273C2×#124—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124—21no—
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284#525—24no—
285#525—24no—
286#525—24no—
287#525—24no—
288#525—24no—
289#525—24no—
290#525—42no—
291#525—42no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123D411yescharacteristic
302C2×#123D411yescharacteristic
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8D411yescharacteristic
309C2×C22⋊Q8D411yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
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×#121D411yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120D411yescharacteristic
351C2×#120D411yescharacteristic
352#520—42no—
353#520—42no—
354C2×C4×Q8—21no—
355C2×C4×Q8—21no—
356C2×C4×Q8—21no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
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×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117—21no—
377C2×#117—21no—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C22⋊C4—21no—
391C22×C22⋊C4—21no—
392C22×C22⋊C4—21no—
393#485—24no—
394#485—24no—
395#484—24no—
396#483—24no—
397#482—24no—
398#482—24no—
399#481—24no—
400#480—24no—
401#470—24no—
402#469—24no—
403#468—24no—
404#468—24no—
405#467—24no—
406#466—24no—
407#465—24no—
408#465—24no—
409#452—24no—
410#452—24no—
411#452—42no—
412#452—42no—
413#451—24no—
414#450—24no—
415#449—24no—
416#449—24no—
417#449—42no—
418#449—42no—
419#448—24no—
420#447—24no—
421C2×#107C2311yescharacteristic
422C2×#107C2311yescharacteristic
423C2×#107C2311yescharacteristic
424C2×#107C2311yescharacteristic
425C2×#106C2311yescharacteristic
426C2×#106C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×#106C2311yescharacteristic
429#419—42no—
430#418—42no—
431C2×#103—42no—
432C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#102—42no—
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
465#408—24no—
466#408—24no—
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483#398—21no—
484#398—21no—
485#397—21no—
486#397—21no—
487#396—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#394—21no—
497#392—21no—
498#392—21no—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#390—21no—
502#390—21no—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#389—21no—
506#389—21no—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#388—21no—
512#388—21no—
513#388—21no—
514#388—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#385—21no—
522#385—21no—
523#384—21no—
524#382—21no—
525#380—21no—
526#380—21no—
527#380—21no—
528#380—21no—
529#380—21no—
530#380—21no—
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535C2×#95—21no—
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—
561C25C2×D411yescharacteristic
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
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×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41C2×D414yes—
585C2×#41C2×D414yes—
586C22×Q8—21no—
587C22×Q8—21no—
588C22×Q8—21no—
589C22×Q8—22no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8C2×D414yes—
595C22×Q8C2×D411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—22no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2×D411yescharacteristic
622C22×D4C2×D414yes—
623C22×D4C2×D411yescharacteristic
624C22×D4C2×D411yescharacteristic
625C22×D4C2×D411yescharacteristic
626C22×D4C2411yescharacteristic
627C22×D4C2411yescharacteristic
628C22×D4C2411yescharacteristic
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4—41no—
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C2×Q16—22no—
654C2×Q16—22no—
655C2×Q16—41no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×Q16—41no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×M16—22no—
678C2×M16—22no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16—41no—
682C2×M16—41no—
683C22×C8—22no—
684C22×C8—22no—
685C22×C8—41no—
686C22×C8—41no—
687C22×C8—41no—
688C22×C8—41no—
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C4⋊Q8—28no—
698C4⋊Q8—22no—
699C4⋊Q8—22no—
700C4⋊Q8—22no—
701C4⋊Q8—22no—
702#127—28no—
703#126—28no—
704#126—28no—
705#126—28no—
706#126—28no—
707#126—28no—
708#126—28no—
709#124—28no—
710#124—28no—
711#124—28no—
712#124—28no—
713#124—28no—
714#124—28no—
715#124—28no—
716#124—28no—
717#124—28no—
718#124—28no—
719#124—28no—
720#124—22no—
721#124—22no—
722#124—28no—
723#124—22no—
724#124—22no—
725#123—28no—
726#123—28no—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—28no—
732#123—28no—
733#123—24no—
734#123—24no—
735#123—44no—
736C22⋊Q8—28no—
737C22⋊Q8—28no—
738C22⋊Q8—28no—
739C22⋊Q8—28no—
740C22⋊Q8—24no—
741C22⋊Q8—24no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—44no—
759C22⋊Q8C2×D414yes—
760C22⋊Q8C2×D414yes—
761C22⋊Q8C2×D414yes—
762C22⋊Q8C2×D414yes—
763#121—28no—
764#121—28no—
765#121—28no—
766#121—28no—
767#121—28no—
768#121—28no—
769#121—24no—
770#121—24no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—41no—
786#121—41no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—82no—
791#121—82no—
792#121C2×D414yes—
793#121C2×D414yes—
794#121C2×D414yes—
795#121C2×D414yes—
796#120—28no—
797#120—28no—
798#120—28no—
799#120—28no—
800#120—28no—
801#120—28no—
802#120—24no—
803#120—24no—
804#120—44no—
805C4×Q8—28no—
806C4×Q8—28no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8—22no—
810C4×Q8—22no—
811C4×Q8—44no—
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—22no—
829C4×D4—22no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—44no—
834C4×D4—44no—
835#117—28no—
836#117—28no—
837#117—22no—
838#117—22no—
839#117—22no—
840#117—22no—
841#117—22no—
842#117—22no—
843#117—22no—
844#117—22no—
845#117—22no—
846#117—22no—
847#117—22no—
848#117—22no—
849#117—41no—
850#117—41no—
851#117C2×D414yes—
852#117C2×D414yes—
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—21no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—41no—
880C2×C4⋊C4—41no—
881C2×C4⋊C4—41no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C22⋊C4—28no—
900C2×C22⋊C4—28no—
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⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
953C2×C42—21no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—21no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964#107—22no—
965#107—22no—
966#107—22no—
967#107—22no—
968#106—22no—
969#106—22no—
970#106—22no—
971#106—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—41no—
985#103—41no—
986#103—41no—
987#103—41no—
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—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—41no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017C22⋊C8—41no—
1018C22⋊C8—41no—
1019C22⋊C8—41no—
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—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032C24—21no—
1033C24—21no—
1034C24—24no—
1035C24—22no—
1036C24—21no—
1037C24—41no—
1038C24—41no—
1039C24—41no—
1040C24—41no—
1041C24—41no—
1042C24—41no—
1043C24—81no—
1044C24—81no—
1045C24—81no—
1046C24—81no—
1047C24—81no—
1048C24—81no—
1049C24C22×D411yescharacteristic
1050C24C22×D411yescharacteristic
1051C24C22×D411yescharacteristic
1052C24C22×D411yescharacteristic
1053C24C22×D411yescharacteristic
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
1064#41—82no—
1065#41—82no—
1066#41—82no—
1067#41—82no—
1068#41—82no—
1069#41—82no—
1070C2×Q8—24no—
1071C2×Q8—24no—
1072C2×Q8—24no—
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—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—82no—
1100C2×Q8—82no—
1101C2×Q8#12014yes—
1102C2×Q8C22×D412yes—
1103C2×Q8C22×D412yes—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—82no—
1159C2×D4—82no—
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×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4#12014yes—
1185C2×D4#12014yes—
1186C2×D4#12014yes—
1187C2×D4C22×D412yes—
1188C2×D4C22×D412yes—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
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—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—82no—
1250C22×C4—82no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
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×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D412yes—
1279C22×C4C22×D412yes—
1280C22×C4C22×D412yes—
1281C22×C4C22×D412yes—
1282C22×C4C22×D412yes—
1283C22×C4C22×D412yes—
1284C22×C4C2511yescharacteristic
1285Q16—82no—
1286Q16—82no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290SD16—82no—
1291D8—82no—
1292D8—82no—
1293M16—82no—
1294M16—82no—
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—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
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—82no—
1320C2×C8—82no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—81no—
1360C4⋊C4—81no—
1361C4⋊C4—81no—
1362C4⋊C4—81no—
1363C4⋊C4C22×D412yes—
1364C4⋊C4C22×D412yes—
1365C4⋊C4C22×D412yes—
1366C4⋊C4C22×D412yes—
1367C4⋊C4H(5,𝔽2)12yes—
1368C4⋊C4H(5,𝔽2)12yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—21no—
1431C42—42no—
1432C42—42no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
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—82no—
1488C23—82no—
1489C23—82no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—82no—
1494C23—82no—
1495C23—82no—
1496C23—162no—
1497C23—162no—
1498C23—162no—
1499C23—162no—
1500C23C2×#12012yes—
1501C23C2×#12012yes—
1502C23C2×#12012yes—
1503C23C23×D411yescharacteristic
1504Q8—22no—
1505Q8—22no—
1506Q8—22no—
1507Q8—22no—
1508Q8—44no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—84no—
1518Q8—84no—
1519Q8—84no—
1520D4—22no—
1521D4—22no—
1522D4—22no—
1523D4—22no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—41no—
1535D4—84no—
1536D4—82no—
1537D4—82no—
1538D4—82no—
1539D4—82no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—162no—
1552D4—162no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
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—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—82no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—162no—
1646C2×C4—162no—
1647C2×C4—162no—
1648C2×C4—162no—
1649C2×C4C2×#12012yes—
1650C2×C4C2×#12012yes—
1651C2×C4C2×#12012yes—
1652C2×C4C23×D411yescharacteristic
1653C2×C4C23×D411yescharacteristic
1654C2×C4C2×H(5,𝔽2)11yescharacteristic
1655C2×C4C2×H(5,𝔽2)11yescharacteristic
1656C2×C4#58511yescharacteristic
1657C2×C4#58511yescharacteristic
1658C8—41no—
1659C8—41no—
1660C8—41no—
1661C8—41no—
1662C8—41no—
1663C8—41no—
1664C8—41no—
1665C8—41no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—88no—
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—168no—
1724C22C22×#12011yescharacteristic
1725C22#348411yescharacteristic
1726C22#348511yescharacteristic
1727C22#358411yescharacteristic
1728C22#358411yescharacteristic
1729C22#358511yescharacteristic
1730C22#358611yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4#349611yescharacteristic
1754C4#349611yescharacteristic
1755C4#349611yescharacteristic
1756C4#349611yescharacteristic
1757C2—42no—
1758C2—42no—
1759C2—42no—
1760C2—81no—
1761C2—81no—
1762C2—82no—
1763C2—82no—
1764C2—161no—
1765C2#3534711yescharacteristic
1766C2#6037611yescharacteristic
1767C2#6037711yescharacteristic
1768C2#6162511yescharacteristic
1769C2#6162711yescharacteristic
1770C2#6176911yescharacteristic
1771C2#6177511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3540C2semidirect
2. C2×#3201C2semidirect
3. C2×#3198C2semidirect
4. #35518C2semidirect
5. #25558C2semidirect
6. #25556C2semidirect
7. #25554C2semidirect
8. #25552C2semidirect
9. #25542C2semidirect
10. #25540C2semidirect
11. #25538C2semidirect
12. #25536C2semidirect
13. #24455C2semidirect
14. #24450C2semidirect
15. #24447C2semidirect
16. #24442C2semidirect
17. #24439C2semidirect
18. #24434C2semidirect
19. #24431C2semidirect
20. #24426C2semidirect
21. #24074C2semidirect
22. #24073C2semidirect
23. #24007C2semidirect
24. #24004C2semidirect
25. #23947C2semidirect
26. #23947C2semidirect
27. #23923C2semidirect
28. #23923C2semidirect
29. #21744C2semidirect
30. #20914C2semidirect
31. #20913C2semidirect
58. C2×#525C22semidirect
62. C2×#484C22semidirect
64. C2×#485C22semidirect
65. C2×#485C22semidirect
66. C2×#482C22semidirect
67. C2×#482C22semidirect
68. C2×#483C22semidirect
70. C2×#470C22semidirect
71. C2×#469C22semidirect
72. C2×#468C22semidirect
73. C2×#468C22semidirect
74. C2×#467C22semidirect
75. C2×#466C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
86. C2×#451C22semidirect
87. C2×#448C22semidirect
88. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#419C22semidirect
91. C2×#418C22semidirect
92. C22×#103C22semidirect
93. C22×#102C22semidirect
105. #2417C22semidirect
107. #2416C22semidirect
109. #2415C22semidirect
111. #2414C22semidirect
112. #2317C22semidirect
113. #2311C22semidirect
114. C2×#380C22semidirect
115. #2058C22semidirect
116. #2058C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
131. #2024C22semidirect
132. #2024C22semidirect
133. #2023C22semidirect
134. #2023C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
147. #1880C22semidirect
148. #1880C22semidirect
149. #1879C22semidirect
150. #1879C22semidirect
151. #1878C22semidirect
152. #1878C22semidirect
153. #1877C22semidirect
154. #1877C22semidirect
157. #1875C22semidirect
158. #1875C22semidirect
159. #1875C22semidirect
160. #1875C22semidirect
163. #1874C22semidirect
164. #1874C22semidirect
165. #1873C22semidirect
166. #1873C22semidirect
167. #1873C22semidirect
168. #1873C22semidirect
169. #1873C22semidirect
170. #1873C22semidirect
171. #1872C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
193. #1854C22semidirect
194. #1854C22semidirect
195. #1818C22semidirect
196. #1818C22semidirect
201. #1779C22semidirect
202. #1779C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
205. #1735C22semidirect
206. #1735C22semidirect
257. #536D4semidirect
259. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35402
C2×#32012
C2×#31982
#355182
#255582
#255562
#255542
#255522
#255422
#255402
#255382
#255362
#244552
#244502
#244472
#244422
#244392
#244342
#244312
#244262
#240742
#240732
#240072
#240042
#239472
#239232
#217442
#209142
#209132