Finite Group Databasebeta

← #6809435

Subgroups — #6809435

Order 512.

2524 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3199C211yesmaximal, characteristic, complemented
2C2×#3191C211yesmaximal, characteristic, complemented
3#37658C211yesmaximal, characteristic, complemented
4#35565C211yesmaximal, characteristic, complemented
5#33115C211yesmaximal, characteristic, complemented
6#30718C211yesmaximal, characteristic, complemented
7#30716C211yesmaximal, characteristic, complemented
8#30714C211yesmaximal, characteristic, complemented
9#30706C211yesmaximal, characteristic, complemented
10#30515C211yesmaximal, characteristic, complemented
11#30502C211yesmaximal, characteristic, complemented
12#30501C211yesmaximal, characteristic, complemented
13#30499C211yesmaximal, characteristic, complemented
14#29604C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28484C211yesmaximal, characteristic, complemented
18#26243C211yesmaximal, characteristic, complemented
19#26237C211yesmaximal, characteristic, complemented
20#25770C211yesmaximal, characteristic, complemented
21#25762C211yesmaximal, characteristic, complemented
22#25736C211yesmaximal, characteristic, complemented
23#25401C211yesmaximal, characteristic, complemented
24#25384C211yesmaximal, characteristic, complemented
25#24393C211yesmaximal, characteristic, complemented
26#24378C211yesmaximal, characteristic, complemented
27#24218C211yesmaximal, characteristic, complemented
28#23924C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21590C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic, complemented
33C2×#537C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic, complemented
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic, complemented
41#3199—28no—
42#3191—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic, complemented
46C2×#485C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic
48C2×#482C2211yescharacteristic
49C2×#482C2211yescharacteristic, complemented
50C2×#482C2211yescharacteristic, complemented
51C2×#482C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#467C2211yescharacteristic, complemented
57C2×#466C2211yescharacteristic
58C2×#466C2211yescharacteristic
59C2×#466C2211yescharacteristic, complemented
60C2×#466C2211yescharacteristic, complemented
61C2×#466C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic, complemented
65C2×#459C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#447C2211yescharacteristic
76C2×#447C2211yescharacteristic
77C2×#447C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#435C2211yescharacteristic, complemented
81C2×C8×D4C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic
83C22×C22⋊C8C2211yescharacteristic, complemented
84#2847C2211yescharacteristic
85#2679—21no—
86#2678—21no—
87#2672—21no—
88#2669—21no—
89#2620C2211yescharacteristic
90#2616C2211yescharacteristic
91#2541—21no—
92#2541—21no—
93#2541C2211yescharacteristic
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic, complemented
96#2541C2211yescharacteristic, complemented
97#2540—21no—
98#2540—21no—
99#2540C2211yescharacteristic
100#2540C2211yescharacteristic
101#2540C2211yescharacteristic, complemented
102#2540C2211yescharacteristic, complemented
103#2540C2211yescharacteristic, complemented
104#2539—21no—
105#2539—21no—
106#2537C2211yescharacteristic, complemented
107#2461—21no—
108#2445—21no—
109#2433—21no—
110#2433—21no—
111#2424—21no—
112#2418—21no—
113#2415C2211yescharacteristic, complemented
114#2414C2211yescharacteristic, complemented
115#2408C2211yescharacteristic, complemented
116#2407C2211yescharacteristic, complemented
117#2354C2211yescharacteristic, complemented
118#2324C2211yescharacteristic
119#2274C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1983C2211yescharacteristic, complemented
162#1983C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1948C2211yescharacteristic, complemented
169#1947C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1927C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1925C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1921C2211yescharacteristic, complemented
177#1919C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic
186#1874C2211yescharacteristic
187#1873C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1780C2211yescharacteristic
199#1779C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#107C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#546—42no—
229#546—42no—
230#537—42no—
231#537—42no—
232#535—24no—
233#535—24no—
234#535—42no—
235#535—42no—
236#535—42no—
237#535—42no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127—21no—
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#124—21no—
247C2×#124—21no—
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251#525—24no—
252#525—24no—
253#525—42no—
254#525—42no—
255#525—42no—
256#525—42no—
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123D411yescharacteristic
261C2×#123D411yescharacteristic
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8D411yescharacteristic
264C2×C22⋊Q8D411yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—42no—
283C2×#121—42no—
284C2×#121D411yescharacteristic
285C2×#121D411yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C2×#120D411yescharacteristic
317C2×#120D411yescharacteristic
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C22⋊C4—21no—
333C22×C22⋊C4—21no—
334#496—42no—
335#495—42no—
336#485—24no—
337#485—24no—
338#482—24no—
339#482—24no—
340#482—24no—
341#482—24no—
342#482D418yescomplemented
343#469—24no—
344#469—24no—
345#468—42no—
346#467—24no—
347#467—42no—
348#466—24no—
349#466—24no—
350#466—24no—
351#466—42no—
352#466—42no—
353#465—24no—
354#465—24no—
355#463—42no—
356#459—42no—
357#452—24no—
358#452—24no—
359#450—42no—
360#450—42no—
361#449—24no—
362#449—24no—
363#449—42no—
364#449—42no—
365#449—42no—
366#447—24no—
367#447—24no—
368#447—24no—
369#447—24no—
370#447—42no—
371#435—42no—
372C8×D4—42no—
373C2×#107C2311yescharacteristic
374C2×#107C2311yescharacteristic
375C2×#107C2311yescharacteristic
376C2×#107C2311yescharacteristic
377C2×#107C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415#408—24no—
416C2×C22⋊C8—24no—
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×C4×C8C2311yescharacteristic
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#399—21no—
440#397—21no—
441#396—21no—
442#396—21no—
443#395—21no—
444#394—21no—
445#394—21no—
446#394—21no—
447#394—21no—
448#394—21no—
449#394—21no—
450#394—21no—
451#394—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#391C2311yescharacteristic
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390—21no—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#389—21no—
492#389C2311yescharacteristic
493#388—21no—
494#388—21no—
495#388—21no—
496#388—21no—
497#388—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#385—21no—
504#385—21no—
505#384C2311yescharacteristic
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513C4×C4⋊C4—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C4⋊C4C2311yescharacteristic
521C4×C22⋊C4—21no—
522C4×C22⋊C4—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8C2×D411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×D4—21no—
564C22×D4—22no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—22no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—44no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C23×C4—21no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C2×Q16—22no—
636C2×Q16—41no—
637C2×Q16—41no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×M16—22no—
672C2×M16—41no—
673C2×M16—41no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—22no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691#127—22no—
692#127—22no—
693#127—41no—
694#127—41no—
695#127—44no—
696#127—44no—
697#127—82no—
698#127—82no—
699#127—82no—
700#127—82no—
701#124—22no—
702#124—22no—
703#124—22no—
704#124—22no—
705#124—41no—
706#124—41no—
707#124—44no—
708#124—44no—
709#123—42no—
710#123—42no—
711#123—44no—
712#123—44no—
713#123—44no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—42no—
722C22⋊Q8—42no—
723C22⋊Q8—41no—
724C22⋊Q8—41no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—44no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733#121—22no—
734#121—22no—
735#121—22no—
736#121—22no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—42no—
752#121—42no—
753#121—44no—
754#121—41no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—41no—
779#121—41no—
780#121—82no—
781#121C2×D414yes—
782#120—42no—
783#120—42no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—82no—
794#120—82no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—44no—
806C4×D4—44no—
807C4×D4—44no—
808C4×D4—44no—
809#117—22no—
810#117—22no—
811#117—22no—
812#117—22no—
813#117—22no—
814#117—41no—
815#117—41no—
816#117C2×D414yes—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—22no—
819C2×C4⋊C4—22no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—44no—
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42—21no—
911C2×C42—21no—
912C2×C42C2411yescharacteristic
913C2×C42C2411yescharacteristic
914#107—22no—
915#107—22no—
916#107—22no—
917#107—22no—
918#107C2×D414yescomplemented
919#106—22no—
920#106—22no—
921#106C2×D414yescomplemented
922C4⋊C8—22no—
923C4⋊C8—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—41no—
931#103—41no—
932#103—41no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102C2×D414yescomplemented
955#102C2×D414yescomplemented
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8C2×D414yes—
972#97—22no—
973C4×C8—22no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987C24—21no—
988C24—22no—
989C24—22no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017C24C22×D411yescharacteristic
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
1027#41—82no—
1028#41—82no—
1029#41—82no—
1030C2×Q8—22no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×D4—22no—
1046C2×D4—24no—
1047C2×D4—22no—
1048C2×D4—22no—
1049C2×D4—22no—
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—82no—
1151C2×D4—82no—
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×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—816no—
1185C2×D4C22×D412yes—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
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—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—82no—
1242C22×C4—82no—
1243C22×C4—82no—
1244C22×C4—82no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
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×C4H(5,𝔽2)12yes—
1261C22×C4C2511yescharacteristic
1262Q16—82no—
1263SD16—82no—
1264SD16—82no—
1265SD16—82no—
1266SD16—82no—
1267SD16—82no—
1268D8—82no—
1269D8—82no—
1270D8—82no—
1271D8—82no—
1272D8—82no—
1273D8—82no—
1274M16—82no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
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—82no—
1298C2×C8—82no—
1299C2×C8—82no—
1300C2×C8C22×D412yes—
1301C2×C8C22×D412yes—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4—81no—
1332C4⋊C4—81no—
1333C4⋊C4C22×D412yes—
1334C4⋊C4C22×D412yes—
1335C4⋊C4C22×D412yes—
1336C4⋊C4H(5,𝔽2)12yes—
1337C4⋊C4H(5,𝔽2)12yes—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—24no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
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—
1394C42—24no—
1395C42—21no—
1396C42—21no—
1397C42—42no—
1398C42—42no—
1399C42—81no—
1400C42—81no—
1401C42—81no—
1402C42—81no—
1403C42—81no—
1404C42H(5,𝔽2)12yes—
1405C42H(5,𝔽2)12yes—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—44no—
1441C23—44no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
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—82no—
1477C23—82no—
1478C23—82no—
1479C23—84no—
1480C23—82no—
1481C23—82no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23—162no—
1492C23—162no—
1493C23—162no—
1494C23—162no—
1495C23D4212yes—
1496C23#57612yes—
1497C23C23×D411yescharacteristic
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8—41no—
1506Q8—82no—
1507D4—22no—
1508D4—22no—
1509D4—44no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
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—82no—
1529D4—82no—
1530D4—84no—
1531D4—82no—
1532D4—82no—
1533D4—82no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—82no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
1557D4—162no—
1558D4—162no—
1559D4—162no—
1560D4—162no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
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—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
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—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—82no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—162no—
1645C2×C4#53412yes—
1646C2×C4#53412yes—
1647C2×C4D4212yes—
1648C2×C4C23×D411yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C2×C4C2×H(5,𝔽2)11yescharacteristic
1651C2×C4C2×H(5,𝔽2)11yescharacteristic
1652C2×C4C2×H(5,𝔽2)11yescharacteristic
1653C2×C4C2×H(5,𝔽2)11yescharacteristic
1654C8—22no—
1655C8—22no—
1656C8—41no—
1657C8—41no—
1658C8—41no—
1659C8—41no—
1660C8—41no—
1661C8—41no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—168no—
1734C22—168no—
1735C22C2×#53411yescharacteristic
1736C22C2×D4211yescharacteristic
1737C22#348411yescharacteristic
1738C22C2×#57611yescharacteristic
1739C22#358411yescharacteristic
1740C22#358411yescharacteristic
1741C22#358511yescharacteristic
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—81no—
1757C4—81no—
1758C4—81no—
1759C4—81no—
1760C4—81no—
1761C4—81no—
1762C4#349811yescharacteristic
1763C4#349811yescharacteristic
1764C4#354311yescharacteristic
1765C4#354311yescharacteristic
1766C2—42no—
1767C2—42no—
1768C2—81no—
1769C2—81no—
1770C2—81no—
1771C2—82no—
1772C2—161no—
1773C2—161no—
1774C2—161no—
1775C2—161no—
1776C2#3933611yescharacteristic
1777C2#6076711yescharacteristic
1778C2#6076811yescharacteristic
1779C2#6105611yescharacteristic
1780C2#6107411yescharacteristic
1781C2#6160911yescharacteristic
1782C2#6163811yescharacteristic
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×#3199C2semidirect
2. C2×#3191C2semidirect
3. #37658C2semidirect
4. #35565C2semidirect
5. #33115C2semidirect
6. #30718C2semidirect
7. #30716C2semidirect
8. #30714C2semidirect
9. #30706C2semidirect
10. #30515C2semidirect
11. #30502C2semidirect
12. #30501C2semidirect
13. #30499C2semidirect
14. #29604C2semidirect
15. #29600C2semidirect
16. #28493C2semidirect
17. #28484C2semidirect
18. #26243C2semidirect
19. #26237C2semidirect
20. #25770C2semidirect
21. #25762C2semidirect
22. #25736C2semidirect
23. #25401C2semidirect
24. #25384C2semidirect
25. #24393C2semidirect
26. #24378C2semidirect
27. #24218C2semidirect
28. #23924C2semidirect
29. #23920C2semidirect
30. #22398C2semidirect
31. #21590C2semidirect
32. C2×#546C22semidirect
36. C2×#535C22semidirect
39. C2×#525C22semidirect
40. C22×#121C22semidirect
43. C2×#496C22semidirect
44. C2×#495C22semidirect
45. C2×#485C22semidirect
46. C2×#485C22semidirect
49. C2×#482C22semidirect
50. C2×#482C22semidirect
51. C2×#482C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#467C22semidirect
56. C2×#467C22semidirect
59. C2×#466C22semidirect
60. C2×#466C22semidirect
61. C2×#466C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#463C22semidirect
65. C2×#459C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
72. C2×#449C22semidirect
73. C2×#450C22semidirect
74. C2×#450C22semidirect
77. C2×#447C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#435C22semidirect
81. C2×C8×D4C22semidirect
83. C22×C22⋊C8C22semidirect
95. #2541C22semidirect
96. #2541C22semidirect
101. #2540C22semidirect
102. #2540C22semidirect
103. #2540C22semidirect
106. #2537C22semidirect
113. #2415C22semidirect
114. #2414C22semidirect
115. #2408C22semidirect
116. #2407C22semidirect
117. #2354C22semidirect
119. #2274C22semidirect
120. #2042C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1983C22semidirect
162. #1983C22semidirect
163. #1982C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1948C22semidirect
169. #1947C22semidirect
170. #1928C22semidirect
171. #1927C22semidirect
172. #1926C22semidirect
173. #1925C22semidirect
174. #1925C22semidirect
175. #1925C22semidirect
176. #1921C22semidirect
177. #1919C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1893C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1875C22semidirect
187. #1873C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1852C22semidirect
194. #1825C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
199. #1779C22semidirect
200. #1776C22semidirect
201. C4×#107C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
342. #482D4semidirect
918. #107C2×D4semidirect
921. #106C2×D4semidirect
954. #102C2×D4semidirect
955. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31992
C2×#31912
#376582
#355652
#331152
#307182
#307162
#307142
#307062
#305152
#305022
#305012
#304992
#296042
#296002
#284932
#284842
#262432
#262372
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