Finite Group Databasebeta

← #7562247

Subgroups — #7562247

Order 512.

2349 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3060C211yesmaximal, characteristic, complemented
3#45236C211yesmaximal, characteristic, complemented
4#44868C211yesmaximal, characteristic, complemented
5#30907C211yesmaximal, characteristic, complemented
6#30708C211yesmaximal, characteristic, complemented
7#30596C211yesmaximal, characteristic, complemented
8#30408C211yesmaximal, characteristic, complemented
9#28916C211yesmaximal, characteristic, complemented
10#28566C211yesmaximal, characteristic, complemented
11#28331C211yesmaximal, characteristic, complemented
12#27280C211yesmaximal, characteristic, complemented
13#26986C211yesmaximal, characteristic, complemented
14#26348C211yesmaximal, characteristic, complemented
15#26136C211yesmaximal, characteristic, complemented
16#25557C211yesmaximal, characteristic, complemented
17#25391C211yesmaximal, characteristic, complemented
18#25227C211yesmaximal, characteristic, complemented
19#25139C211yesmaximal, characteristic, complemented
20#25132C211yesmaximal, characteristic, complemented
21#25105C211yesmaximal, characteristic, complemented
22#24440C211yesmaximal, characteristic, complemented
23#24362C211yesmaximal, characteristic, complemented
24#24011C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23850C211yesmaximal, characteristic, complemented
27#23131C211yesmaximal, characteristic, complemented
28#22863C211yesmaximal, characteristic, complemented
29#22427C211yesmaximal, characteristic, complemented
30#21445C211yesmaximal, characteristic, complemented
31#20975C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34C2×#552C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic, complemented
39C2×#535C2211yescharacteristic
40#3310—28no—
41C2×#490C2211yescharacteristic
42C2×#484C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic
44C2×#480C2211yescharacteristic
45C2×#478C2211yescharacteristic
46#3060—28no—
47C2×#470C2211yescharacteristic, complemented
48C2×#470C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic
52C2×#465C2211yescharacteristic
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#440C2211yescharacteristic
65C2×#436C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C22×#106C2211yescharacteristic, complemented
69C2×#417C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic
72C2×#418C2211yescharacteristic
73C22×#102C2211yescharacteristic
74#2714—21no—
75#2703—21no—
76#2703—21no—
77#2690—21no—
78#2678—21no—
79#2672—21no—
80#2669—21no—
81#2668—21no—
82#2560—21no—
83#2540C2211yescharacteristic
84#2536C2211yescharacteristic, complemented
85#2504C2211yescharacteristic, complemented
86#2490—21no—
87#2490C2211yescharacteristic, complemented
88#2476—21no—
89#2476—21no—
90#2472—21no—
91#2442C2211yescharacteristic, complemented
92#2435C2211yescharacteristic
93#2431C2211yescharacteristic
94#2428—21no—
95#2428C2211yescharacteristic
96#2427C2211yescharacteristic
97#2421C2211yescharacteristic, complemented
98#2416C2211yescharacteristic
99#2415C2211yescharacteristic
100#2414C2211yescharacteristic
101#2414C2211yescharacteristic, complemented
102#2410—21no—
103#2408—21no—
104#2408C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2388C2211yescharacteristic
107#2363C2211yescharacteristic
108#2362C2211yescharacteristic, complemented
109#2361C2211yescharacteristic
110#2352C2211yescharacteristic, complemented
111#2341C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2092C2211yescharacteristic
114#2092C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2073C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2036C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2034C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2026C2211yescharacteristic, complemented
134#2015C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1970C2211yescharacteristic
147#1970C2211yescharacteristic, complemented
148#1958C2211yescharacteristic
149#1958C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1780C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×#135—24no—
212C2×#135—42no—
213C2×#135—42no—
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C2×#131—24no—
223C2×#131—42no—
224C2×#131—42no—
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#552—24no—
233#552—42no—
234#546—24no—
235#546—42no—
236D42—24no—
237D42—42no—
238#537—24no—
239#537—24no—
240#537—42no—
241#537—42no—
242#535—24no—
243#535—42no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125—21no—
248C2×#125C2311yescharacteristic
249C2×#124—21no—
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117—21no—
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304#490—24no—
305#484—42no—
306#482—24no—
307#480—24no—
308#478—24no—
309#470—24no—
310#470—24no—
311#469—24no—
312#469—24no—
313#468—24no—
314#465—24no—
315#465—24no—
316#465—24no—
317#465D418yescomplemented
318#464—42no—
319#460—24no—
320#450—24no—
321#450—24no—
322#449—24no—
323#449—42no—
324#447—42no—
325#447—42no—
326#440—24no—
327#436—42no—
328#436—42no—
329#435—24no—
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#106—24no—
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—24no—
343#418—42no—
344#417—24no—
345#417—24no—
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#102—24no—
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×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391#400—21no—
392#400—21no—
393#399—21no—
394#398—21no—
395#398—21no—
396#397—21no—
397#397—21no—
398#397—21no—
399#397—21no—
400#397—21no—
401#397—21no—
402#396—21no—
403#395D411yescharacteristic
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#394—21no—
414#394—21no—
415#394—21no—
416#394D411yescharacteristic
417#394D411yescharacteristic
418#394D411yescharacteristic
419#393D411yescharacteristic
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#392D411yescharacteristic
429#392D411yescharacteristic
430#392D411yescharacteristic
431#391—21no—
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#389—21no—
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
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#386—21no—
470#386—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#386—21no—
480#386—21no—
481#386—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#382C2311yescharacteristic
486#382C2311yescharacteristic
487#380—21no—
488#380—21no—
489#380—21no—
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C25—21no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8C2×D411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—22no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—44no—
582C22×D4—82no—
583C22×D4—82no—
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605#135—416no—
606C2×Q16—22no—
607C2×Q16—22no—
608C2×Q16—41no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16C2×D414yes—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630#131—416no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—22no—
637C2×M16—22no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C22×C8—22no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8C2×D414yes—
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660#127—22no—
661#127—41no—
662#127—44no—
663#126—44no—
664#125—22no—
665#125—41no—
666#125—44no—
667#124—22no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—44no—
672#123—44no—
673#123—44no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—44no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—41no—
685C22⋊Q8—41no—
686C22⋊Q8—44no—
687C22⋊Q8C2×D414yes—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—44no—
700#121—44no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—44no—
710#121—44no—
711#121—44no—
712#121—41no—
713#121—41no—
714#121—82no—
715#121—82no—
716#121C2×D414yes—
717#121#4114yes—
718#120—44no—
719#120—44no—
720#120—44no—
721#120—44no—
722#120—44no—
723#120—82no—
724C4×Q8—22no—
725C4×Q8—41no—
726C4×Q8—41no—
727C4×Q8—41no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—82no—
739#117—22no—
740#117—22no—
741#117—44no—
742#117—41no—
743#117—41no—
744#117—41no—
745#117—41no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
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—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—44no—
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847C2×C42C2411yescharacteristic
848#107—22no—
849#107—22no—
850#107—41no—
851#107—41no—
852#106—22no—
853#106—22no—
854#106—22no—
855#106C2×D414yes—
856C4⋊C8—22no—
857C4⋊C8—22no—
858C4⋊C8—41no—
859#103—22no—
860#103—22no—
861#103—22no—
862#103—22no—
863#103—41no—
864#103—41no—
865#103—41no—
866#103—41no—
867#103—41no—
868#103C2×D414yes—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102C2×D414yes—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8—22no—
894C22⋊C8—22no—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900#97—22no—
901C4×C8—41no—
902C4×C8—41no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—44no—
956#41—44no—
957#41—44no—
958#41—44no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—22no—
964C2×Q8—22no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—41no—
977C2×Q8C22×D412yes—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—24no—
984C2×D4—22no—
985C2×D4—24no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—44no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—816no—
1075C2×D4C22×D412yes—
1076C2×D4C2×#4112yes—
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—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—81no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D412yes—
1140C22×C4C22×D411yescharacteristic
1141C22×C4C2×#4112yes—
1142C22×C4H(5,𝔽2)12yes—
1143C22×C4H(5,𝔽2)12yes—
1144C22×C4C2511yescharacteristic
1145Q16—44no—
1146SD16—44no—
1147SD16—44no—
1148SD16—44no—
1149SD16—82no—
1150D8—44no—
1151D8—82no—
1152D8—82no—
1153M16—44no—
1154M16—44no—
1155M16—44no—
1156M16—82no—
1157C2×C8—28no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—44no—
1180C2×C8—44no—
1181C2×C8C22×D412yes—
1182C2×C8C22×D412yes—
1183C2×C8H(5,𝔽2)12yes—
1184C4⋊C4—24no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—41no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—81no—
1218C4⋊C4—81no—
1219C4⋊C4—81no—
1220C4⋊C4—81no—
1221C4⋊C4C22×D412yes—
1222C4⋊C4C22×D412yes—
1223C4⋊C4C2×#4112yes—
1224C22⋊C4—24no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—24no—
1228C22⋊C4—22no—
1229C22⋊C4—24no—
1230C22⋊C4—22no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C42—21no—
1280C42—21no—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—42no—
1286C42—42no—
1287C42—42no—
1288C42—81no—
1289C42—81no—
1290C42—81no—
1291C42—81no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—22no—
1314C23—21no—
1315C23—22no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—84no—
1347C23—84no—
1348C23—84no—
1349C23—84no—
1350C23—84no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23D4212yes—
1361C23#54612yes—
1362C23C23×D411yescharacteristic
1363Q8—22no—
1364Q8—22no—
1365Q8—44no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372D4—22no—
1373D4—22no—
1374D4—22no—
1375D4—22no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—44no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—84no—
1393D4—82no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—82no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
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—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—84no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4—162no—
1497C2×C4D4212yes—
1498C2×C4#54612yes—
1499C2×C4C23×D411yescharacteristic
1500C2×C4C22×#4111yescharacteristic
1501C2×C4C2×H(5,𝔽2)11yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C2×C4C2×H(5,𝔽2)11yescharacteristic
1504C2×C4#58511yescharacteristic
1505C8—22no—
1506C8—22no—
1507C8—22no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—168no—
1570C22—168no—
1571C22C2×D4211yescharacteristic
1572C22C2×#54611yescharacteristic
1573C22#349611yescharacteristic
1574C22#358411yescharacteristic
1575C22#358411yescharacteristic
1576C22#358511yescharacteristic
1577C22#358511yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4D4×#4111yescharacteristic
1601C4#348411yescharacteristic
1602C4#351911yescharacteristic
1603C4#353411yescharacteristic
1604C2—42no—
1605C2—42no—
1606C2—81no—
1607C2—81no—
1608C2—82no—
1609C2—82no—
1610C2—161no—
1611C2—161no—
1612C2#5912311yescharacteristic
1613C2#6105911yescharacteristic
1614C2#6108811yescharacteristic
1615C2#6119511yescharacteristic
1616C2#6120111yescharacteristic
1617C2#6232011yescharacteristic
1618C2#6235111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3310C2semidirect
2. C2×#3060C2semidirect
3. #45236C2semidirect
4. #44868C2semidirect
5. #30907C2semidirect
6. #30708C2semidirect
7. #30596C2semidirect
8. #30408C2semidirect
9. #28916C2semidirect
10. #28566C2semidirect
11. #28331C2semidirect
12. #27280C2semidirect
13. #26986C2semidirect
14. #26348C2semidirect
15. #26136C2semidirect
16. #25557C2semidirect
17. #25391C2semidirect
18. #25227C2semidirect
19. #25139C2semidirect
20. #25132C2semidirect
21. #25105C2semidirect
22. #24440C2semidirect
23. #24362C2semidirect
24. #24011C2semidirect
25. #23924C2semidirect
26. #23850C2semidirect
27. #23131C2semidirect
28. #22863C2semidirect
29. #22427C2semidirect
30. #21445C2semidirect
31. #20975C2semidirect
32. C22×#135C22semidirect
33. C22×#131C22semidirect
38. C2×#537C22semidirect
42. C2×#484C22semidirect
47. C2×#470C22semidirect
48. C2×#470C22semidirect
50. C2×#469C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
59. C2×#449C22semidirect
65. C2×#436C22semidirect
66. C2×#436C22semidirect
68. C22×#106C22semidirect
69. C2×#417C22semidirect
70. C2×#417C22semidirect
84. #2536C22semidirect
85. #2504C22semidirect
87. #2490C22semidirect
91. #2442C22semidirect
97. #2421C22semidirect
101. #2414C22semidirect
105. #2407C22semidirect
108. #2362C22semidirect
110. #2352C22semidirect
111. #2341C22semidirect
112. #2311C22semidirect
114. #2092C22semidirect
115. #2088C22semidirect
116. #2085C22semidirect
117. #2077C22semidirect
118. #2073C22semidirect
119. #2067C22semidirect
121. #2059C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2042C22semidirect
127. #2036C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2026C22semidirect
136. #2012C22semidirect
138. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
144. #1999C22semidirect
147. #1970C22semidirect
149. #1958C22semidirect
150. #1949C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1926C22semidirect
156. #1925C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
170. #1880C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
174. #1877C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1873C22semidirect
180. #1873C22semidirect
181. #1873C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
186. #1863C22semidirect
187. #1854C22semidirect
188. #1852C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
193. #1804C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
197. #1780C22semidirect
198. C4×#103C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
317. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#30602
#452362
#448682
#309072
#307082
#305962
#304082
#289162
#285662
#283312
#272802
#269862
#263482
#261362
#255572
#253912
#252272
#251392
#251322
#251052
#244402
#243622
#240112
#239242
#238502
#231312
#228632
#224272
#214452
#209752