Finite Group Databasebeta

← #6499943

Subgroups — #6499943

Order 512.

3213 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic, complemented
2C2×#3203C211yesmaximal, characteristic, complemented
3C2×#3201C211yesmaximal, characteristic, complemented
4#35518C211yesmaximal, characteristic, complemented
5#25559C211yesmaximal, characteristic, complemented
6#25557C211yesmaximal, characteristic, complemented
7#25556C211yesmaximal, characteristic, complemented
8#25548C211yesmaximal, characteristic, complemented
9#25545C211yesmaximal, characteristic, complemented
10#25542C211yesmaximal, characteristic, complemented
11#25539C211yesmaximal, characteristic, complemented
12#25534C211yesmaximal, characteristic, complemented
13#24454C211yesmaximal, characteristic, complemented
14#24449C211yesmaximal, characteristic, complemented
15#24447C211yesmaximal, characteristic, complemented
16#24445C211yesmaximal, characteristic, complemented
17#24439C211yesmaximal, characteristic, complemented
18#24437C211yesmaximal, characteristic, complemented
19#24430C211yesmaximal, characteristic, complemented
20#24425C211yesmaximal, characteristic, complemented
21#24073C211yesmaximal, characteristic, complemented
22#24071C211yesmaximal, characteristic, complemented
23#24006C211yesmaximal, characteristic, complemented
24#24004C211yesmaximal, characteristic, complemented
25#23947C211yesmaximal, characteristic, complemented
26#23944C211yesmaximal, characteristic, complemented
27#23923C211yesmaximal, characteristic, complemented
28#23922C211yesmaximal, characteristic, complemented
29#21744C211yesmaximal, characteristic, complemented
30#20915C211yesmaximal, characteristic, complemented
31#20913C211yesmaximal, characteristic, complemented
32#3541—28no—
33#3541—28no—
34C2×#563—21no—
35C2×#562—21no—
36C2×#556C2211yescharacteristic
37C2×#554—21no—
38C2×#554C2211yescharacteristic
39C2×#553—21no—
40C2×#553C2211yescharacteristic
41C2×#552C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#547C2211yescharacteristic
46C2×#542—21no—
47C2×#542C2211yescharacteristic
48C2×#541C2211yescharacteristic
49C2×#539—21no—
50C2×#538—21no—
51C2×#538—21no—
52C2×#537C2211yescharacteristic
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C2×#520C2211yescharacteristic
60#3203—28no—
61#3201—28no—
62C2×#484C2211yescharacteristic
63C2×#484C2211yescharacteristic
64C2×#484C2211yescharacteristic, complemented
65C2×#485C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#483C2211yescharacteristic
68C2×#480C2211yescharacteristic
69C2×#480C2211yescharacteristic, complemented
70C2×#470C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#468C2211yescharacteristic, complemented
73C2×#468C2211yescharacteristic, complemented
74C2×#467C2211yescharacteristic, complemented
75C2×#467C2211yescharacteristic, complemented
76C2×#466C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic
81C2×#452C2211yescharacteristic
82C2×#452C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic
85C2×#449C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic
87C2×#451C2211yescharacteristic, complemented
88C2×#448C2211yescharacteristic
89C2×#448C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, 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
106#2416C2211yescharacteristic
107#2416C2211yescharacteristic
108#2415C2211yescharacteristic
109#2415C2211yescharacteristic
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic
112#2317C2211yescharacteristic
113#2311C2211yescharacteristic
114C2×#380C2211yescharacteristic
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2043C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic
124#2036C2211yescharacteristic
125#2036C2211yescharacteristic
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2036C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2026C2211yescharacteristic, complemented
132#2025C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2016C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#1999C2211yescharacteristic
147#1880C2211yescharacteristic, complemented
148#1880C2211yescharacteristic, complemented
149#1880C2211yescharacteristic, complemented
150#1879C2211yescharacteristic, complemented
151#1878C2211yescharacteristic, complemented
152#1878C2211yescharacteristic, complemented
153#1878C2211yescharacteristic, complemented
154#1877C2211yescharacteristic, complemented
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic
157#1875C2211yescharacteristic, complemented
158#1874C2211yescharacteristic
159#1874C2211yescharacteristic
160#1874C2211yescharacteristic, complemented
161#1873C2211yescharacteristic
162#1873C2211yescharacteristic
163#1873C2211yescharacteristic
164#1873C2211yescharacteristic
165#1873C2211yescharacteristic, complemented
166#1873C2211yescharacteristic, complemented
167#1873C2211yescharacteristic, complemented
168#1872C2211yescharacteristic
169#1872C2211yescharacteristic
170#1872C2211yescharacteristic
171#1872C2211yescharacteristic
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic
192#1854C2211yescharacteristic
193#1852C2211yescharacteristic
194#1852C2211yescharacteristic
195#1818C2211yescharacteristic
196#1818C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic
200#1787C2211yescharacteristic
201#1779C2211yescharacteristic
202#1779C2211yescharacteristic
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205#1735C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#563—216no—
227#562—216no—
228#556—24no—
229#556—24no—
230#554—216no—
231#554—24no—
232#554—24no—
233#553—216no—
234#553—24no—
235#553—24no—
236#552—24no—
237#552—24no—
238D4×Q8—24no—
239D4×Q8—24no—
240#548—24no—
241#548—24no—
242#548—24no—
243#548—24no—
244#547—24no—
245#547—24no—
246#542—216no—
247#542—24no—
248#542—24no—
249#541—24no—
250#541—24no—
251#539—216no—
252#538—216no—
253#538—216no—
254#537—24no—
255#537—24no—
256#537—24no—
257#537D418yescomplemented
258#536—24no—
259#536D418yescomplemented
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8—21no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#126—21no—
265C2×#126—21no—
266C2×#126—21no—
267C2×#126—21no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#125—21no—
272C2×#125—21no—
273C2×#125—21no—
274C2×#125—21no—
275C2×#125C2311yescharacteristic
276C2×#124—21no—
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124—21no—
281C2×#124C2311yescharacteristic
282#525—24no—
283#525—24no—
284#525—24no—
285#525—24no—
286#525—42no—
287#525—42no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123D411yescharacteristic
298C2×#123D411yescharacteristic
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—24no—
303C2×C22⋊Q8—24no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8D411yescharacteristic
313C2×C22⋊Q8D411yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121D411yescharacteristic
340C2×#121D411yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
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×Q8C2311yescharacteristic
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×D4—21no—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117—21no—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4—21no—
384C22×C4⋊C4—21no—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C22⋊C4—21no—
392C22×C22⋊C4—21no—
393#485—24no—
394#484—24no—
395#484—24no—
396#484—24no—
397#483—24no—
398#482—24no—
399#480—24no—
400#480—24no—
401#470—24no—
402#468—24no—
403#468—24no—
404#468—24no—
405#467—24no—
406#467—24no—
407#466—24no—
408#465—24no—
409#452—24no—
410#452—24no—
411#452—24no—
412#452—24no—
413#452—42no—
414#451—24no—
415#451—42no—
416#449—24no—
417#449—24no—
418#449—42no—
419#448—24no—
420#448—42no—
421C2×#107C2311yescharacteristic
422C2×#107C2311yescharacteristic
423C2×#107C2311yescharacteristic
424C2×#107C2311yescharacteristic
425C2×#107C2311yescharacteristic
426C2×#107C2311yescharacteristic
427C2×#106C2311yescharacteristic
428C2×#106C2311yescharacteristic
429#419—42no—
430#417—42no—
431#416—42no—
432C2×#103—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×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
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
560C25C2×D411yescharacteristic
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—41no—
567C2×#41—41no—
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×#41C2×D414yes—
583C2×#41C2×D414yes—
584C2×#41C2×D414yes—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—21no—
588C22×Q8—21no—
589C22×Q8—21no—
590C22×Q8—22no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8C2×D414yes—
600C22×Q8C2×D411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×Q8C2411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×Q8C2411yescharacteristic
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—21no—
614C22×D4—21no—
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2×D411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4C2×D411yescharacteristic
643C23×C4C2×D411yescharacteristic
644C23×C4C2×D411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C2×Q16—22no—
651C2×Q16—22no—
652C2×Q16—22no—
653C2×Q16—41no—
654C2×Q16—41no—
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—41no—
673C2×D8—41no—
674C2×M16—22no—
675C2×M16—22no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C22×C8—22no—
681C22×C8—22no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8—41no—
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C4⋊Q8—28no—
695C4⋊Q8—28no—
696C4⋊Q8—22no—
697C4⋊Q8—22no—
698C4⋊Q8—22no—
699C4⋊Q8—22no—
700#126—28no—
701#126—28no—
702#126—28no—
703#126—28no—
704#126—28no—
705#126—28no—
706#126—28no—
707#125—28no—
708#125—28no—
709#125—28no—
710#125—28no—
711#125—22no—
712#125—22no—
713#124—28no—
714#124—28no—
715#124—28no—
716#124—28no—
717#124—22no—
718#124—28no—
719#124—22no—
720#123—28no—
721#123—28no—
722#123—28no—
723#123—28no—
724#123—28no—
725#123—28no—
726#123—28no—
727#123—28no—
728#123—24no—
729#123—24no—
730#123—44no—
731C22⋊Q8—28no—
732C22⋊Q8—28no—
733C22⋊Q8—28no—
734C22⋊Q8—28no—
735C22⋊Q8—28no—
736C22⋊Q8—28no—
737C22⋊Q8—28no—
738C22⋊Q8—28no—
739C22⋊Q8—28no—
740C22⋊Q8—28no—
741C22⋊Q8—24no—
742C22⋊Q8—24no—
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—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—44no—
764C22⋊Q8C2×D414yes—
765C22⋊Q8C2×D414yes—
766C22⋊Q8C2×D414yes—
767C22⋊Q8C2×D414yes—
768C22⋊Q8C2×D414yes—
769C22⋊Q8C2×D414yes—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—24no—
778#121—24no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—41no—
790#121—41no—
791#121—44no—
792#121—44no—
793#121—44no—
794#121—82no—
795#121—82no—
796#121C2×D414yes—
797#121C2×D414yes—
798#120—28no—
799#120—24no—
800#120—24no—
801#120—44no—
802C4×Q8—28no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8—44no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—22no—
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—44no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—44no—
832#117—28no—
833#117—22no—
834#117—22no—
835#117—22no—
836#117—22no—
837#117—22no—
838#117—22no—
839#117—22no—
840#117—22no—
841#117—22no—
842#117—41no—
843#117—41no—
844#117C2×D414yes—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—28no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—22no—
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—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—22no—
870C2×C4⋊C4—22no—
871C2×C4⋊C4—22no—
872C2×C4⋊C4—22no—
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—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C22⋊C4—28no—
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—21no—
943C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
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#107—22no—
969#107—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—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103—41no—
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—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—22no—
1034C24—22no—
1035C24—21no—
1036C24—41no—
1037C24—41no—
1038C24—41no—
1039C24—41no—
1040C24—41no—
1041C24C22×D411yescharacteristic
1042C24C22×D411yescharacteristic
1043C24C22×D411yescharacteristic
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046#41—44no—
1047#41—44no—
1048#41—44no—
1049#41—44no—
1050#41—44no—
1051#41—44no—
1052#41—82no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062C2×Q8—24no—
1063C2×Q8—24no—
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—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—44no—
1089C2×Q8—44no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—82no—
1097C2×Q8—82no—
1098C2×Q8—82no—
1099C2×Q8—82no—
1100C2×Q8—82no—
1101C2×Q8—82no—
1102C2×Q8#12014yes—
1103C2×Q8C22×D412yes—
1104C2×Q8C22×D412yes—
1105C2×Q8C22×D412yes—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
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—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
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—42no—
1149C2×D4—42no—
1150C2×D4—42no—
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#12014yes—
1166C2×D4#12014yes—
1167C2×D4#12014yes—
1168C2×D4C22×D412yes—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
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—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—82no—
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×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D412yes—
1266C22×C4C22×D412yes—
1267C22×C4C22×D412yes—
1268C22×C4C22×D412yes—
1269C22×C4C22×D412yes—
1270C22×C4C22×D412yes—
1271C22×C4C2511yescharacteristic
1272Q16—82no—
1273Q16—82no—
1274Q16—82no—
1275SD16—82no—
1276SD16—82no—
1277SD16—82no—
1278SD16—82no—
1279D8—82no—
1280M16—82no—
1281M16—82no—
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—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—82no—
1307C2×C8—82no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
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—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—81no—
1356C4⋊C4—81no—
1357C4⋊C4—81no—
1358C4⋊C4—81no—
1359C4⋊C4C22×D412yes—
1360C4⋊C4C22×D412yes—
1361C4⋊C4C22×D412yes—
1362C4⋊C4C22×D412yes—
1363C4⋊C4H(5,𝔽2)12yes—
1364C4⋊C4H(5,𝔽2)12yes—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
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—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—21no—
1421C42—42no—
1422C42—42no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
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—22no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—44no—
1456C23—44no—
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—82no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23C2×#12012yes—
1476C23C2×#12012yes—
1477C23C2×#12012yes—
1478C23#57812yes—
1479C23C23×D411yescharacteristic
1480Q8—22no—
1481Q8—22no—
1482Q8—22no—
1483Q8—22no—
1484Q8—22no—
1485Q8—22no—
1486Q8—44no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500D4—22no—
1501D4—22no—
1502D4—44no—
1503D4—44no—
1504D4—44no—
1505D4—44no—
1506D4—44no—
1507D4—48no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—82no—
1515D4—82no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—162no—
1524D4—162no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
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—82no—
1612C2×C4—82no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—82no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—162no—
1623C2×C4—162no—
1624C2×C4—162no—
1625C2×C4—162no—
1626C2×C4C2×#12012yes—
1627C2×C4C2×#12012yes—
1628C2×C4C2×#12012yes—
1629C2×C4C23×D411yescharacteristic
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4#58511yescharacteristic
1634C2×C4#58511yescharacteristic
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—88no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22C22×#12011yescharacteristic
1694C22#348411yescharacteristic
1695C22#348511yescharacteristic
1696C22C2×#57811yescharacteristic
1697C22#358411yescharacteristic
1698C22#358511yescharacteristic
1699C22#358611yescharacteristic
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4#349611yescharacteristic
1724C4#349611yescharacteristic
1725C4#349611yescharacteristic
1726C4#349611yescharacteristic
1727C2—42no—
1728C2—42no—
1729C2—42no—
1730C2—42no—
1731C2—81no—
1732C2—82no—
1733C2—161no—
1734C2#3534711yescharacteristic
1735C2#6037511yescharacteristic
1736C2#6037611yescharacteristic
1737C2#6164211yescharacteristic
1738C2#6165411yescharacteristic
1739C2#6174711yescharacteristic
1740C2#6175011yescharacteristic
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×#3541C2semidirect
2. C2×#3203C2semidirect
3. C2×#3201C2semidirect
4. #35518C2semidirect
5. #25559C2semidirect
6. #25557C2semidirect
7. #25556C2semidirect
8. #25548C2semidirect
9. #25545C2semidirect
10. #25542C2semidirect
11. #25539C2semidirect
12. #25534C2semidirect
13. #24454C2semidirect
14. #24449C2semidirect
15. #24447C2semidirect
16. #24445C2semidirect
17. #24439C2semidirect
18. #24437C2semidirect
19. #24430C2semidirect
20. #24425C2semidirect
21. #24073C2semidirect
22. #24071C2semidirect
23. #24006C2semidirect
24. #24004C2semidirect
25. #23947C2semidirect
26. #23944C2semidirect
27. #23923C2semidirect
28. #23922C2semidirect
29. #21744C2semidirect
30. #20915C2semidirect
31. #20913C2semidirect
64. C2×#484C22semidirect
65. C2×#485C22semidirect
66. C2×#482C22semidirect
69. C2×#480C22semidirect
70. C2×#470C22semidirect
71. C2×#468C22semidirect
72. C2×#468C22semidirect
73. C2×#468C22semidirect
74. C2×#467C22semidirect
75. C2×#467C22semidirect
76. C2×#466C22semidirect
77. C2×#465C22semidirect
82. C2×#452C22semidirect
85. C2×#449C22semidirect
87. C2×#451C22semidirect
89. C2×#448C22semidirect
90. C2×#417C22semidirect
91. C2×#419C22semidirect
92. C2×#416C22semidirect
93. C22×#103C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
119. #2043C22semidirect
120. #2043C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
131. #2026C22semidirect
132. #2025C22semidirect
133. #2024C22semidirect
134. #2023C22semidirect
135. #2016C22semidirect
136. #2015C22semidirect
137. #2013C22semidirect
138. #2012C22semidirect
147. #1880C22semidirect
148. #1880C22semidirect
149. #1880C22semidirect
150. #1879C22semidirect
151. #1878C22semidirect
152. #1878C22semidirect
153. #1878C22semidirect
154. #1877C22semidirect
157. #1875C22semidirect
160. #1874C22semidirect
165. #1873C22semidirect
166. #1873C22semidirect
167. #1873C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
205. #1735C22semidirect
206. C2×#340C22semidirect
257. #537D4semidirect
259. #536D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C2×#32032
C2×#32012
#355182
#255592
#255572
#255562
#255482
#255452
#255422
#255392
#255342
#244542
#244492
#244472
#244452
#244392
#244372
#244302
#244252
#240732
#240712
#240062
#240042
#239472
#239442
#239232
#239222
#217442
#209152
#209132