Finite Group Databasebeta

← #6667808

Subgroups — #6667808

Order 512.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3010C211yesmaximal, characteristic, complemented
3#42420C211yesmaximal, characteristic, complemented
4#36085C211yesmaximal, characteristic, complemented
5#32885C211yesmaximal, characteristic, complemented
6#31065C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#31002C211yesmaximal, characteristic, complemented
9#30986C211yesmaximal, characteristic, complemented
10#30453C211yesmaximal, characteristic, complemented
11#30453C211yesmaximal, characteristic, complemented
12#30419C211yesmaximal, characteristic, complemented
13#30415C211yesmaximal, characteristic, complemented
14#29747C211yesmaximal, characteristic, complemented
15#29604C211yesmaximal, characteristic, complemented
16#28367C211yesmaximal, characteristic, complemented
17#28112C211yesmaximal, characteristic, complemented
18#25174C211yesmaximal, characteristic, complemented
19#25162C211yesmaximal, characteristic, complemented
20#24899C211yesmaximal, characteristic, complemented
21#24895C211yesmaximal, characteristic, complemented
22#24537C211yesmaximal, characteristic, complemented
23#24358C211yesmaximal, characteristic, complemented
24#24249C211yesmaximal, characteristic, complemented
25#24237C211yesmaximal, characteristic, complemented
26#24043C211yesmaximal, characteristic, complemented
27#23864C211yesmaximal, characteristic, complemented
28#23864C211yesmaximal, characteristic, complemented
29#23849C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C23×SD16C2211yescharacteristic
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic, complemented
38C2×#547C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic
40C2×#535C2211yescharacteristic
41#3272—28no—
42C2×#492C2211yescharacteristic
43C2×#485C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic
45C2×#468C2211yescharacteristic
46C2×#461C2211yescharacteristic
47C2×#461C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic
50#3010—28no—
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic
54C2×#449C2211yescharacteristic
55C2×#449C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#448C2211yescharacteristic
60C2×#448C2211yescharacteristic
61C2×#448C2211yescharacteristic
62C2×#448C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#442C2211yescharacteristic, complemented
71C2×C4×D8C2211yescharacteristic
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#436C2211yescharacteristic
74C2×#419C2211yescharacteristic, complemented
75C2×#416C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77#2812—21no—
78#2686—21no—
79#2684—21no—
80#2673—21no—
81#2669—21no—
82#2617—21no—
83#2616C2211yescharacteristic, complemented
84#2615C2211yescharacteristic
85#2614—21no—
86#2613—21no—
87#2537C2211yescharacteristic
88#2535C2211yescharacteristic
89#2500C2211yescharacteristic
90#2485C2211yescharacteristic
91#2434C2211yescharacteristic, complemented
92#2434C2211yescharacteristic, complemented
93#2434C2211yescharacteristic, complemented
94#2430—21no—
95#2430—21no—
96#2430—21no—
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic
99#2422C2211yescharacteristic
100#2420C2211yescharacteristic
101#2410—21no—
102#2409C2211yescharacteristic
103#2409C2211yescharacteristic, complemented
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2406—21no—
108#2406—21no—
109#2406—21no—
110#2388C2211yescharacteristic
111C2×#395—21no—
112#2339C2211yescharacteristic, complemented
113#2339C2211yescharacteristic, complemented
114#2339C2211yescharacteristic, complemented
115D4×C22⋊C4C2211yescharacteristic
116#2097C2211yescharacteristic, complemented
117#2095C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2074C2211yescharacteristic, complemented
121#2072C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2055C2211yescharacteristic
125#2055C2211yescharacteristic
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2043C2211yescharacteristic, complemented
129#2043C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2034C2211yescharacteristic
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2033C2211yescharacteristic
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2014C2211yescharacteristic
143#2014C2211yescharacteristic
144#2013C2211yescharacteristic
145#2013C2211yescharacteristic
146#2013C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1973C2211yescharacteristic
157#1973C2211yescharacteristic, complemented
158#1968C2211yescharacteristic
159#1968C2211yescharacteristic, complemented
160#1960C2211yescharacteristic, complemented
161#1956C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic
173#1892C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1780C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C2×2−1+4—24no—
206C2×2−1+4—42no—
207C2×2−1+4—42no—
208C2×2−1+4—42no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C22×#41—21no—
212C22×#41—21no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8—21no—
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—21no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)D418yescomplemented
232C22×SD16—24no—
233C22×SD16—42no—
234C22×SD16—42no—
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#547—24no—
254#547—42no—
255#547—42no—
256#547—42no—
257#547—42no—
258#547—42no—
259D42—24no—
260D42—42no—
261#535—24no—
262#535—42no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127—21no—
267C2×#127C2311yescharacteristic
268C2×#124—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×#117C2311yescharacteristic
313C22×C4⋊C4—21no—
314C22×C4⋊C4—21no—
315C22×C4⋊C4—21no—
316C22×C22⋊C4—21no—
317#492—24no—
318#485—42no—
319#468—24no—
320#468—24no—
321#461—24no—
322#461—42no—
323#461—42no—
324#459—24no—
325#450—24no—
326#450—24no—
327#450—42no—
328#450—42no—
329#449—24no—
330#449—24no—
331#449—24no—
332#449—24no—
333#449—24no—
334#449—24no—
335#449—42no—
336#449—42no—
337#448—24no—
338#448—24no—
339#448—24no—
340#448—24no—
341#448—42no—
342#448—42no—
343#448—42no—
344#442—42no—
345C4×D8—24no—
346C4×D8—42no—
347#436—24no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#419—24no—
357#416—24no—
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392#408—24no—
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#397—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#395—21no—
414#395—21no—
415#395—21no—
416#395—21no—
417#395—21no—
418#395—21no—
419#395—21no—
420#395—21no—
421#395—21no—
422#395—21no—
423#395D411yescharacteristic
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394D411yescharacteristic
439#394D411yescharacteristic
440#394D411yescharacteristic
441#393—21no—
442#393—21no—
443#393—21no—
444#393—21no—
445#393D411yescharacteristic
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392D411yescharacteristic
455#392D411yescharacteristic
456#392D411yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#388—21no—
470#388—21no—
471#388—21no—
472#387—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#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#384C2311yescharacteristic
500#382C2311yescharacteristic
501#381—21no—
502#381—21no—
503#381—21no—
504#381—21no—
505#380—21no—
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C22⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C2×#95—21no—
521C2×#95—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
5412−1+4—416no—
5422−1+4—416no—
5432−1+4—416no—
5442−1+4—416no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41—44no—
580C2×#41—44no—
581C2×#41—44no—
582C2×#41—44no—
583C2×#41C2×D414yes—
584C22×Q8—21no—
585C22×Q8—21no—
586C22×Q8—21no—
587C22×Q8—22no—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—22no—
591C22×Q8—22no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—22no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8—41no—
605C22×Q8—44no—
606C22×Q8—44no—
607C22×Q8—44no—
608C22×Q8C2×D411yescharacteristic
609C22×Q8C2411yescharacteristic
610C22×Q8C2411yescharacteristic
611C22×Q8C2411yescharacteristic
612C22×Q8C2411yescharacteristic
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—22no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—44no—
641C22×D4—82no—
642C22×D4—82no—
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2×D414yes—
649C22×D4C2×D411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671AGL(1,ℤ/8)—416no—
672AGL(1,ℤ/8)—416no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—416no—
708C2×SD16C2×D414yes—
709C2×SD16C2×D414yes—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8C2×D414yes—
718C2×D8C2×D414yes—
719C2×M16—22no—
720C2×M16—41no—
721C2×M16—41no—
722C2×M16—41no—
723C2×M16—41no—
724C2×M16C2×D414yes—
725C22×C8—22no—
726C22×C8—41no—
727C22×C8—41no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C4⋊Q8—22no—
737C4⋊Q8—22no—
738C4⋊Q8—22no—
739C4⋊Q8—41no—
740C4⋊Q8—41no—
741C4⋊Q8—41no—
742#127—22no—
743#127—41no—
744#127—44no—
745#124—44no—
746#123—44no—
747#123—44no—
748#123—44no—
749#123—44no—
750#123—44no—
751#123—44no—
752#123—82no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—82no—
786#121—82no—
787#121—82no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—82no—
793#120—82no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812#117—22no—
813#117—22no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
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—44no—
831C2×C4⋊C4—44no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
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—82no—
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898#107—22no—
899#107—41no—
900#107—41no—
901#106—41no—
902#106—41no—
903C4⋊C8—22no—
904C4⋊C8—41no—
905C4⋊C8—41no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953#97—41no—
954C4×C8—22no—
955C4×C8—41no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986C24—21no—
987C24—21no—
988C24—21no—
989C24—24no—
990C24—21no—
991C24—42no—
992C24—42no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24C22×D411yescharacteristic
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—28no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—432no—
1023#41—432no—
1024#41—432no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—82no—
1029#41—82no—
1030#41—82no—
1031C2×Q8—22no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—28no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—41no—
1055C2×Q8—41no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×Q8—42no—
1060C2×Q8—42no—
1061C2×Q8—42no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—432no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×Q8—42no—
1077C2×Q8C22×D412yes—
1078C2×Q8H(5,𝔽2)12yes—
1079C2×Q8H(5,𝔽2)12yes—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—24no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—44no—
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—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
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—816no—
1174C2×D4C22×D412yes—
1175C2×D4C22×D412yes—
1176C2×D4C22×D412yes—
1177C2×D4H(5,𝔽2)12yes—
1178C2×D4H(5,𝔽2)12yes—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—24no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
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—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D412yes—
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4H(5,𝔽2)12yes—
1264C22×C4C2511yescharacteristic
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—44no—
1269SD16—44no—
1270SD16—44no—
1271SD16—44no—
1272SD16—44no—
1273SD16—82no—
1274SD16—82no—
1275SD16—82no—
1276SD16—82no—
1277D8—28no—
1278D8—28no—
1279D8—44no—
1280M16—44no—
1281M16—44no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—44no—
1305C2×C8C22×D412yes—
1306C2×C8C22×D412yes—
1307C4⋊C4—22no—
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—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
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—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—21no—
1397C42—42no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
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—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23D4212yes—
1468C23C23×D411yescharacteristic
1469Q8—22no—
1470Q8—22no—
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—44no—
1476Q8—48no—
1477Q8—48no—
1478Q8—48no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—22no—
1496D4—44no—
1497D4—44no—
1498D4—48no—
1499D4—44no—
1500D4—44no—
1501D4—48no—
1502D4—48no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—82no—
1512D4—84no—
1513D4—84no—
1514D4—82no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—162no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4#53414yes—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—162no—
1618C2×C4—162no—
1619C2×C4D4212yes—
1620C2×C4#57712yes—
1621C2×C4#57712yes—
1622C2×C4C23×D411yescharacteristic
1623C2×C4C2×H(5,𝔽2)11yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C8—22no—
1629C8—22no—
1630C8—41no—
1631C8—41no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C22—22no—
1637C22—24no—
1638C22—22no—
1639C22—22no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—168no—
1693C22—168no—
1694C22C2×D4211yescharacteristic
1695C22#348411yescharacteristic
1696C22#348411yescharacteristic
1697C22C2×#57711yescharacteristic
1698C22C2×#57711yescharacteristic
1699C22#358511yescharacteristic
1700C22#358611yescharacteristic
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4C2×#53411yescharacteristic
1724C4#348411yescharacteristic
1725C4#353211yescharacteristic
1726C4#353211yescharacteristic
1727C2—42no—
1728C2—44no—
1729C2—81no—
1730C2—81no—
1731C2—81no—
1732C2—82no—
1733C2—82no—
1734C2—161no—
1735C2#3764411yescharacteristic
1736C2#6107111yescharacteristic
1737C2#6109411yescharacteristic
1738C2#6162111yescharacteristic
1739C2#6165611yescharacteristic
1740C2#6166411yescharacteristic
1741C2#6169211yescharacteristic
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×#3272C2semidirect
2. C2×#3010C2semidirect
3. #42420C2semidirect
4. #36085C2semidirect
5. #32885C2semidirect
6. #31065C2semidirect
7. #31058C2semidirect
8. #31002C2semidirect
9. #30986C2semidirect
10. #30453C2semidirect
11. #30453C2semidirect
12. #30419C2semidirect
13. #30415C2semidirect
14. #29747C2semidirect
15. #29604C2semidirect
16. #28367C2semidirect
17. #28112C2semidirect
18. #25174C2semidirect
19. #25162C2semidirect
20. #24899C2semidirect
21. #24895C2semidirect
22. #24537C2semidirect
23. #24358C2semidirect
24. #24249C2semidirect
25. #24237C2semidirect
26. #24043C2semidirect
27. #23864C2semidirect
28. #23864C2semidirect
29. #23849C2semidirect
30. #22442C2semidirect
31. #22039C2semidirect
32. C22×2−1+4C22semidirect
37. C2×#547C22semidirect
38. C2×#547C22semidirect
43. C2×#485C22semidirect
47. C2×#461C22semidirect
48. C2×#461C22semidirect
55. C2×#449C22semidirect
56. C2×#449C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
62. C2×#448C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
70. C2×#442C22semidirect
72. C2×C4×D8C22semidirect
74. C2×#419C22semidirect
75. C2×#416C22semidirect
76. C2×#408C22semidirect
83. #2616C22semidirect
91. #2434C22semidirect
92. #2434C22semidirect
93. #2434C22semidirect
103. #2409C22semidirect
104. #2409C22semidirect
112. #2339C22semidirect
113. #2339C22semidirect
114. #2339C22semidirect
116. #2097C22semidirect
117. #2095C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2074C22semidirect
121. #2072C22semidirect
122. #2068C22semidirect
123. #2066C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2043C22semidirect
129. #2043C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
146. #2013C22semidirect
147. #2013C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
157. #1973C22semidirect
159. #1968C22semidirect
160. #1960C22semidirect
161. #1956C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1933C22semidirect
165. #1933C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1894C22semidirect
171. #1894C22semidirect
173. #1892C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1850C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
203. #1780C22semidirect
204. #1753C22semidirect
231. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#30102
#424202
#360852
#328852
#310652
#310582
#310022
#309862
#304532
#304192
#304152
#297472
#296042
#283672
#281122
#251742
#251622
#248992
#248952
#245372
#243582
#242492
#242372
#240432
#238642
#238492
#224422
#220392