Finite Group Databasebeta

← #7566106

Subgroups — #7566106

Order 512.

2238 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3319C211yesmaximal, characteristic, complemented
2C2×#3136C211yesmaximal, characteristic, complemented
3#44927C211yesmaximal, characteristic, complemented
4#44893C211yesmaximal, characteristic, complemented
5#30660C211yesmaximal, characteristic, complemented
6#30646C211yesmaximal, characteristic, complemented
7#30544C211yesmaximal, characteristic, complemented
8#30539C211yesmaximal, characteristic, complemented
9#28926C211yesmaximal, characteristic, complemented
10#28907C211yesmaximal, characteristic, complemented
11#28609C211yesmaximal, characteristic, complemented
12#28421C211yesmaximal, characteristic, complemented
13#27273C211yesmaximal, characteristic, complemented
14#27259C211yesmaximal, characteristic, complemented
15#25890C211yesmaximal, characteristic, complemented
16#25572C211yesmaximal, characteristic, complemented
17#25327C211yesmaximal, characteristic, complemented
18#25272C211yesmaximal, characteristic, complemented
19#25139C211yesmaximal, characteristic, complemented
20#25116C211yesmaximal, characteristic, complemented
21#24876C211yesmaximal, characteristic, complemented
22#24873C211yesmaximal, characteristic, complemented
23#24435C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24308C211yesmaximal, characteristic, complemented
26#24218C211yesmaximal, characteristic, complemented
27#23226C211yesmaximal, characteristic, complemented
28#22428C211yesmaximal, characteristic, complemented
29#22422C211yesmaximal, characteristic, complemented
30#21529C211yesmaximal, characteristic, complemented
31#21496C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#544C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38#3319—28no—
39#3136—28no—
40C2×#490C2211yescharacteristic
41C2×#490C2211yescharacteristic, complemented
42C2×#489C2211yescharacteristic
43C2×#489C2211yescharacteristic, complemented
44C2×#488C2211yescharacteristic
45C2×#488C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic
47C2×#486C2211yescharacteristic, complemented
48C2×#485C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic
50C2×#478C2211yescharacteristic, complemented
51C2×#474C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic
60C2×#447C2211yescharacteristic
61C2×#442C2211yescharacteristic, complemented
62C2×#436C2211yescharacteristic
63C2×#435C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×#417C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic
67C2×#418C2211yescharacteristic
68C2×#416C2211yescharacteristic, complemented
69C2×#416C2211yescharacteristic, complemented
70C22×#102C2211yescharacteristic
71C2×#405C2211yescharacteristic, complemented
72#2731—21no—
73#2730—21no—
74#2711—21no—
75#2678—21no—
76#2676—21no—
77#2675—21no—
78#2669—21no—
79#2669—21no—
80#2566C2211yescharacteristic, complemented
81#2562C2211yescharacteristic, complemented
82#2545—21no—
83#2541C2211yescharacteristic
84#2541C2211yescharacteristic
85#2491C2211yescharacteristic, complemented
86#2490C2211yescharacteristic, complemented
87#2477—21no—
88#2475—21no—
89#2464—21no—
90#2441C2211yescharacteristic, complemented
91#2439C2211yescharacteristic, complemented
92#2433—21no—
93#2433C2211yescharacteristic
94#2431C2211yescharacteristic
95#2428C2211yescharacteristic
96#2426—21no—
97#2426C2211yescharacteristic
98#2424—21no—
99#2416C2211yescharacteristic
100#2414C2211yescharacteristic, complemented
101#2410—21no—
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic
104#2392C2211yescharacteristic
105#2367C2211yescharacteristic
106#2365C2211yescharacteristic, complemented
107#2354C2211yescharacteristic
108#2352C2211yescharacteristic, complemented
109#2324C2211yescharacteristic
110#2324C2211yescharacteristic, complemented
111#2094C2211yescharacteristic, complemented
112#2092C2211yescharacteristic, complemented
113#2073C2211yescharacteristic
114#2072C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2067C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2042C2211yescharacteristic, complemented
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1987C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1982C2211yescharacteristic
147#1982C2211yescharacteristic, complemented
148#1982C2211yescharacteristic, complemented
149#1972C2211yescharacteristic, complemented
150#1972C2211yescharacteristic, complemented
151#1970C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1957C2211yescharacteristic
154#1954C2211yescharacteristic, complemented
155#1943C2211yescharacteristic, complemented
156#1939C2211yescharacteristic, complemented
157#1936C2211yescharacteristic
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1926C2211yescharacteristic
163#1925C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1862C2211yescharacteristic
185#1854C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1807C2211yescharacteristic, complemented
188#1805C2211yescharacteristic, complemented
189#1802C2211yescharacteristic
190#1798C2211yescharacteristic, complemented
191#1788C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201C4×#102C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219#555—24no—
220#555—42no—
221#550—24no—
222#550—42no—
223#546—24no—
224#546—42no—
225D42—24no—
226D42—42no—
227#544—24no—
228#544—42no—
229#535—24no—
230#535—42no—
231C2×C4⋊Q8—21no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127—21no—
235C2×#127—21no—
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#125—21no—
241C2×#125C2311yescharacteristic
242C2×#125C2311yescharacteristic
243C2×#124—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#123—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×C4×Q8—21no—
281C2×C4×Q8C2311yescharacteristic
282C2×C4×D4—21no—
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290C2×#117C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C22⋊C4—21no—
296#490—24no—
297#490—24no—
298#489—24no—
299#489D418yescomplemented
300#488—24no—
301#488—24no—
302#486—24no—
303#486—24no—
304#485—24no—
305#482—24no—
306#478—42no—
307#474—24no—
308#468—24no—
309#466—24no—
310#466—24no—
311#463—24no—
312#459—42no—
313#449—24no—
314#449—42no—
315#447—24no—
316#447—42no—
317#442—24no—
318#436—42no—
319#435—24no—
320#435—42no—
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332#418—24no—
333#418—24no—
334#417—24no—
335#416—24no—
336#416—24no—
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#102—24no—
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384#405—24no—
385C2×#97C2311yescharacteristic
386C2×#97C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391#400—21no—
392#399—21no—
393#398D411yescharacteristic
394#397—21no—
395#397D411yescharacteristic
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396D411yescharacteristic
403#396D411yescharacteristic
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394D411yescharacteristic
414#394D411yescharacteristic
415#394D411yescharacteristic
416#393—21no—
417#393—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392D411yescharacteristic
431#391—21no—
432#391—21no—
433#391C2311yescharacteristic
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#387—21no—
467#387—21no—
468#387—21no—
469#387—21no—
470#387—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#384C2311yescharacteristic
486#382C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#379—21no—
494C4×C4⋊C4—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25—21no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C22×Q8—21no—
539C22×Q8—21no—
540C22×Q8C2411yescharacteristic
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—44no—
575C22×D4—82no—
576C22×D4—82no—
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C2×SD16—22no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×M16—22no—
610C2×M16—22no—
611C2×M16—22no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C22×C8—22no—
616C22×C8—22no—
617C22×C8—22no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—22no—
630C4⋊Q8—22no—
631C4⋊Q8—41no—
632C4⋊Q8—44no—
633C4⋊Q8C2×D414yescomplemented
634#127—22no—
635#127—22no—
636#127—22no—
637#127—22no—
638#127—22no—
639#127—41no—
640#127—41no—
641#127—41no—
642#127—44no—
643#127—82no—
644#125—22no—
645#125—22no—
646#125—22no—
647#125—41no—
648#125—44no—
649#124—22no—
650#124—22no—
651#124—41no—
652#124—44no—
653#124—44no—
654#124—82no—
655#124C2×D414yes—
656#123—44no—
657C22⋊Q8—22no—
658C22⋊Q8—44no—
659C22⋊Q8—44no—
660C22⋊Q8—41no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—44no—
670#121—44no—
671#121—44no—
672#121—44no—
673#121—44no—
674#121—44no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—44no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—82no—
686#121—82no—
687#121—82no—
688#121—82no—
689#121#4114yes—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—44no—
694#120—44no—
695#120—82no—
696#120—82no—
697#120—82no—
698C4×Q8—22no—
699C4×Q8—41no—
700C4×Q8—82no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—41no—
713C4×D4—44no—
714#117—22no—
715#117—22no—
716#117—22no—
717#117—22no—
718#117—22no—
719#117—41no—
720#117—41no—
721#117—41no—
722#117—44no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—22no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4C2×D411yescharacteristic
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—44no—
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C42—21no—
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42C2411yescharacteristic
819C2×C42C2411yescharacteristic
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822#107—22no—
823#107—22no—
824#107—22no—
825#107—41no—
826#106—22no—
827#106—41no—
828#106—41no—
829C4⋊C8—22no—
830C4⋊C8—22no—
831C4⋊C8—41no—
832C4⋊C8—41no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—41no—
837#103—41no—
838#103C2×D414yescomplemented
839#103C2×D414yescomplemented
840#102—22no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102C2×D414yes—
870#102C2×D414yes—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879#97—22no—
880#97—41no—
881#97C2×D414yescomplemented
882C4×C8—22no—
883C4×C8—22no—
884C4×C8—41no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931#41—44no—
932#41—44no—
933#41—44no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938#41—82no—
939C2×Q8—24no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—42no—
946C2×Q8—81no—
947C2×Q8—81no—
948C2×Q8—81no—
949C2×Q8—81no—
950C2×Q8C22×D412yes—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—24no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—44no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—816no—
1060C2×D4C22×D412yes—
1061C2×D4C2×#4112yes—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C2×#4112yes—
1119C22×C4H(5,𝔽2)12yes—
1120C22×C4C2511yescharacteristic
1121SD16—82no—
1122D8—44no—
1123D8—82no—
1124D8—82no—
1125D8—82no—
1126M16—44no—
1127M16—82no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—44no—
1151C2×C8—82no—
1152C2×C8C22×D412yes—
1153C2×C8C22×D412yes—
1154C4⋊C4—24no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—41no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4—81no—
1193C4⋊C4C22×D412yes—
1194C4⋊C4C22×D412yes—
1195C4⋊C4C2×#4112yes—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—24no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—42no—
1255C42—42no—
1256C42—42no—
1257C42—42no—
1258C42—42no—
1259C42—81no—
1260C42—81no—
1261C42—81no—
1262C42C22×D412yes—
1263C42H(5,𝔽2)12yes—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—22no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—22no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23#54612yes—
1334C23C23×D411yescharacteristic
1335Q8—22no—
1336Q8—22no—
1337Q8—41no—
1338Q8—41no—
1339Q8—84no—
1340Q8—162no—
1341D4—22no—
1342D4—22no—
1343D4—22no—
1344D4—22no—
1345D4—44no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—82no—
1363D4—84no—
1364D4—84no—
1365D4—82no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—162no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—84no—
1460C2×C4—84no—
1461C2×C4—84no—
1462C2×C4—84no—
1463C2×C4—162no—
1464C2×C4—162no—
1465C2×C4D4212yes—
1466C2×C4D4212yes—
1467C2×C4#54612yes—
1468C2×C4#57612yes—
1469C2×C4C23×D411yescharacteristic
1470C2×C4C22×#4111yescharacteristic
1471C2×C4C2×H(5,𝔽2)11yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4#58511yescharacteristic
1474C2×C4#58511yescharacteristic
1475C8—22no—
1476C8—22no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—42no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—42no—
1500C22—41no—
1501C22—41no—
1502C22—42no—
1503C22—41no—
1504C22—41no—
1505C22—42no—
1506C22—42no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—168no—
1540C22—168no—
1541C22C2×D4211yescharacteristic
1542C22C2×#54611yescharacteristic
1543C22#350011yescharacteristic
1544C22C2×#57611yescharacteristic
1545C22#358411yescharacteristic
1546C22#358511yescharacteristic
1547C22#358511yescharacteristic
1548C4—22no—
1549C4—22no—
1550C4—22no—
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—81no—
1564C4—81no—
1565C4—81no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4D4×#4111yescharacteristic
1571C4#348811yescharacteristic
1572C4#351411yescharacteristic
1573C4#355811yescharacteristic
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—82no—
1578C2—82no—
1579C2—161no—
1580C2—161no—
1581C2—161no—
1582C2#5913111yescharacteristic
1583C2#6107711yescharacteristic
1584C2#6109311yescharacteristic
1585C2#6118311yescharacteristic
1586C2#6119611yescharacteristic
1587C2#6256111yescharacteristic
1588C2#6256411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3319C2semidirect
2. C2×#3136C2semidirect
3. #44927C2semidirect
4. #44893C2semidirect
5. #30660C2semidirect
6. #30646C2semidirect
7. #30544C2semidirect
8. #30539C2semidirect
9. #28926C2semidirect
10. #28907C2semidirect
11. #28609C2semidirect
12. #28421C2semidirect
13. #27273C2semidirect
14. #27259C2semidirect
15. #25890C2semidirect
16. #25572C2semidirect
17. #25327C2semidirect
18. #25272C2semidirect
19. #25139C2semidirect
20. #25116C2semidirect
21. #24876C2semidirect
22. #24873C2semidirect
23. #24435C2semidirect
24. #24424C2semidirect
25. #24308C2semidirect
26. #24218C2semidirect
27. #23226C2semidirect
28. #22428C2semidirect
29. #22422C2semidirect
30. #21529C2semidirect
31. #21496C2semidirect
32. C2×#555C22semidirect
36. C2×#544C22semidirect
41. C2×#490C22semidirect
43. C2×#489C22semidirect
45. C2×#488C22semidirect
47. C2×#486C22semidirect
48. C2×#485C22semidirect
50. C2×#478C22semidirect
51. C2×#474C22semidirect
52. C2×#468C22semidirect
56. C2×#459C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
61. C2×#442C22semidirect
63. C2×#435C22semidirect
64. C2×#435C22semidirect
65. C2×#417C22semidirect
68. C2×#416C22semidirect
69. C2×#416C22semidirect
71. C2×#405C22semidirect
80. #2566C22semidirect
81. #2562C22semidirect
85. #2491C22semidirect
86. #2490C22semidirect
90. #2441C22semidirect
91. #2439C22semidirect
100. #2414C22semidirect
106. #2365C22semidirect
108. #2352C22semidirect
110. #2324C22semidirect
111. #2094C22semidirect
112. #2092C22semidirect
114. #2072C22semidirect
115. #2067C22semidirect
116. #2067C22semidirect
117. #2059C22semidirect
118. #2057C22semidirect
119. #2055C22semidirect
121. #2042C22semidirect
124. #2041C22semidirect
125. #2036C22semidirect
126. #2035C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
134. #2023C22semidirect
135. #2012C22semidirect
138. #2011C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1989C22semidirect
144. #1987C22semidirect
147. #1982C22semidirect
148. #1982C22semidirect
149. #1972C22semidirect
150. #1972C22semidirect
151. #1970C22semidirect
152. #1961C22semidirect
154. #1954C22semidirect
155. #1943C22semidirect
156. #1939C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1927C22semidirect
163. #1925C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
169. #1895C22semidirect
170. #1895C22semidirect
171. #1893C22semidirect
172. #1893C22semidirect
173. #1880C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
182. #1869C22semidirect
183. #1863C22semidirect
185. #1854C22semidirect
186. #1852C22semidirect
187. #1807C22semidirect
188. #1805C22semidirect
190. #1798C22semidirect
191. #1788C22semidirect
192. #1788C22semidirect
193. #1788C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1763C22semidirect
201. C4×#102C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. C8×C22⋊C4C22semidirect
299. #489D4semidirect
633. C4⋊Q8C2×D4semidirect
838. #103C2×D4semidirect
839. #103C2×D4semidirect
881. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33192
C2×#31362
#449272
#448932
#306602
#306462
#305442
#305392
#289262
#289072
#286092
#284212
#272732
#272592
#258902
#255722
#253272
#252722
#251392
#251162
#248762
#248732
#244352
#244242
#243082
#242182
#232262
#224282
#224222
#215292
#214962