Finite Group Databasebeta

← #6994146

Subgroups — #6994146

Order 512.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3#44870C211yesmaximal, characteristic, complemented
4#42909C211yesmaximal, characteristic, complemented
5#31021C211yesmaximal, characteristic, complemented
6#30988C211yesmaximal, characteristic, complemented
7#30857C211yesmaximal, characteristic, complemented
8#30612C211yesmaximal, characteristic, complemented
9#30584C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30444C211yesmaximal, characteristic, complemented
12#30396C211yesmaximal, characteristic, complemented
13#28329C211yesmaximal, characteristic, complemented
14#26962C211yesmaximal, characteristic, complemented
15#26939C211yesmaximal, characteristic, complemented
16#26557C211yesmaximal, characteristic, complemented
17#25414C211yesmaximal, characteristic, complemented
18#25392C211yesmaximal, characteristic, complemented
19#25258C211yesmaximal, characteristic, complemented
20#25221C211yesmaximal, characteristic, complemented
21#24435C211yesmaximal, characteristic, complemented
22#24390C211yesmaximal, characteristic, complemented
23#24390C211yesmaximal, characteristic, complemented
24#24372C211yesmaximal, characteristic, complemented
25#24277C211yesmaximal, characteristic, complemented
26#24236C211yesmaximal, characteristic, complemented
27#24033C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23393C211yesmaximal, characteristic, complemented
30#22872C211yesmaximal, characteristic, complemented
31#22853C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3274—28no—
41#3198—28no—
42C2×#493C2211yescharacteristic
43C2×#481C2211yescharacteristic
44C2×#485C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×C4×SD16C2211yescharacteristic, complemented
70C2×C4×D8C2211yescharacteristic, complemented
71C2×#436C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#416C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75C2×#408C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77#2816—21no—
78#2679—21no—
79#2673—21no—
80#2673—21no—
81#2671—21no—
82#2671—21no—
83#2670—21no—
84#2669—21no—
85#2669—21no—
86#2656—21no—
87#2635—21no—
88#2615C2211yescharacteristic, complemented
89#2564—21no—
90#2555—21no—
91#2541C2211yescharacteristic
92#2537C2211yescharacteristic, complemented
93#2537C2211yescharacteristic, complemented
94#2501C2211yescharacteristic, complemented
95#2487C2211yescharacteristic, complemented
96#2433—21no—
97#2433—21no—
98#2433C2211yescharacteristic
99#2433C2211yescharacteristic
100#2428C2211yescharacteristic
101#2428C2211yescharacteristic
102#2428C2211yescharacteristic, complemented
103#2428C2211yescharacteristic, complemented
104#2423C2211yescharacteristic, complemented
105#2423C2211yescharacteristic, complemented
106#2414C2211yescharacteristic
107#2414C2211yescharacteristic
108#2408C2211yescharacteristic
109#2407C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111#2403—21no—
112#2388C2211yescharacteristic
113#2363C2211yescharacteristic
114#2363C2211yescharacteristic
115#2339C2211yescharacteristic, complemented
116#2093C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2087C2211yescharacteristic, complemented
119#2084C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2014C2211yescharacteristic
139#2014C2211yescharacteristic, complemented
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1970C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1957C2211yescharacteristic
160#1957C2211yescharacteristic, complemented
161#1954C2211yescharacteristic, complemented
162#1948C2211yescharacteristic, complemented
163#1942C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1933C2211yescharacteristic, complemented
166#1928C2211yescharacteristic, complemented
167#1926C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic
174#1893C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1851C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#550—24no—
237#550—42no—
238D42—24no—
239D42—42no—
240D42—42no—
241D42—42no—
242#537—24no—
243#537—42no—
244#535—24no—
245#535—42no—
246#535—42no—
247#535—42no—
248C2×#127—21no—
249C2×#127—21no—
250C2×#127—21no—
251C2×#127—21no—
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#124—21no—
257C2×#124—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317#493—24no—
318#485—24no—
319#482—24no—
320#481—24no—
321#480—24no—
322#469—24no—
323#469—24no—
324#469—24no—
325#469—42no—
326#468—24no—
327#466—24no—
328#466—42no—
329#466—42no—
330#465—24no—
331#460—24no—
332#459—24no—
333#459—42no—
334#459—42no—
335#450—24no—
336#449—24no—
337#449—24no—
338#449—42no—
339#449D418yescomplemented
340#447—24no—
341#447—24no—
342#447—24no—
343#447—42no—
344C4×SD16—24no—
345C4×D8—42no—
346#436—24no—
347#436—42no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359#416—42no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102—42no—
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×#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
392C2×#102C2311yescharacteristic
393#408—24no—
394#408—42no—
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×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#400—21no—
410#399—21no—
411#399—21no—
412#399—21no—
413#399—21no—
414#399—21no—
415#398—21no—
416#398—21no—
417#395D411yescharacteristic
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394D411yescharacteristic
432#394D411yescharacteristic
433#394D411yescharacteristic
434#393—21no—
435#393D411yescharacteristic
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
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#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#387—21no—
481#387—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#384C2311yescharacteristic
497#384C2311yescharacteristic
498#381—21no—
499#380—21no—
500#380—21no—
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#379—21no—
508C4×C4⋊C4C2311yescharacteristic
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C2×#95—21no—
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25—21no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41C2×D414yescomplemented
554C22×Q8C2×D411yescharacteristic
555C22×Q8C2411yescharacteristic
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—22no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—22no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—82no—
606C22×D4—82no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632AGL(1,ℤ/8)—416no—
633AGL(1,ℤ/8)—416no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16C2×D414yes—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8C2×D414yes—
670C2×M16—22no—
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—41no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C22×C8—22no—
680C22×C8—22no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693#127—22no—
694#127—22no—
695#127—22no—
696#127—41no—
697#127—41no—
698#127—41no—
699#127—41no—
700#127—41no—
701#127—44no—
702#127—44no—
703#127—44no—
704#127—82no—
705#124—44no—
706#124—44no—
707#123—82no—
708#123—82no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—44no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—44no—
731#121—44no—
732#121—44no—
733#121—44no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—44no—
746#121—44no—
747#121—44no—
748#121—41no—
749#121—41no—
750#121—41no—
751#121—41no—
752#121—82no—
753#121—82no—
754#121—82no—
755#121—82no—
756#121—82no—
757#121—82no—
758#121C2×D414yes—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—44no—
764#120—44no—
765#120—44no—
766#120—44no—
767#120—82no—
768#120—82no—
769#120—82no—
770#120—82no—
771#120—82no—
772C4×Q8—22no—
773C4×Q8—41no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—41no—
788C4×D4—44no—
789#117—22no—
790#117—22no—
791#117—41no—
792#117—41no—
793C2×C4⋊C4—22no—
794C2×C4⋊C4—22no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
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—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C42—21no—
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879C2×C42C2411yescharacteristic
880#107—22no—
881#107—22no—
882#107—22no—
883#107—41no—
884#106—22no—
885#106—22no—
886#106—22no—
887#106—41no—
888C4⋊C8—22no—
889C4⋊C8—22no—
890C4⋊C8—41no—
891#103—22no—
892#103—22no—
893#103—41no—
894#103C2×D414yescomplemented
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102C2×D414yescomplemented
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—41no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8C2×D414yescomplemented
934C4×C8—22no—
935C4×C8—41no—
936C4×C8—41no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955#95C2×D411yescharacteristic
956#95C2×D411yescharacteristic
957#95C2×D411yescharacteristic
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24C22×D411yescharacteristic
986C24C22×D411yescharacteristic
987C24C22×D411yescharacteristic
988C24C22×D411yescharacteristic
989#41—44no—
990#41—44no—
991#41—44no—
992#41—82no—
993#41—82no—
994#41—82no—
995#41—82no—
996#41—82no—
997#41—82no—
998#41—82no—
999#41—82no—
1000#41—82no—
1001C2×Q8—22no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—41no—
1008C2×Q8—41no—
1009C2×Q8C22×D412yes—
1010C2×D4—22no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—22no—
1014C2×D4—24no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—816no—
1161C2×D4—816no—
1162C2×D4C22×D412yes—
1163C2×D4C22×D412yes—
1164C2×D4H(5,𝔽2)12yes—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—24no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D412yes—
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4H(5,𝔽2)12yes—
1230C22×C4C2511yescharacteristic
1231SD16—28no—
1232SD16—44no—
1233SD16—44no—
1234SD16—82no—
1235D8—44no—
1236D8—44no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240D8—82no—
1241D8—82no—
1242D8—82no—
1243M16—44no—
1244M16—44no—
1245M16—82no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—82no—
1268C2×C8—82no—
1269C2×C8C22×D412yes—
1270C2×C8C22×D412yes—
1271C2×C8H(5,𝔽2)12yes—
1272C4⋊C4—22no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4C22×D412yes—
1304C4⋊C4H(5,𝔽2)12yes—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—21no—
1364C42—21no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—81no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—22no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—21no—
1383C23—22no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23D4212yes—
1460C23C23×D411yescharacteristic
1461Q8—22no—
1462Q8—22no—
1463Q8—41no—
1464Q8—41no—
1465Q8—82no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—44no—
1473D4—44no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—82no—
1493D4—82no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—82no—
1499D4—82no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512D4—162no—
1513D4—162no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518D4—162no—
1519D4—162no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525C2×C4—21no—
1526C2×C4—21no—
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—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
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—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—162no—
1602C2×C4—162no—
1603C2×C4—162no—
1604C2×C4D4212yes—
1605C2×C4#57612yes—
1606C2×C4#57612yes—
1607C2×C4#57712yes—
1608C2×C4C23×D411yescharacteristic
1609C2×C4C2×H(5,𝔽2)11yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4#58511yescharacteristic
1614C8—22no—
1615C8—22no—
1616C8—22no—
1617C8—41no—
1618C8—41no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
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—
1694C22—168no—
1695C22C2×D4211yescharacteristic
1696C22#348411yescharacteristic
1697C22#349611yescharacteristic
1698C22C2×#57611yescharacteristic
1699C22C2×#57611yescharacteristic
1700C22C2×#57711yescharacteristic
1701C22#358511yescharacteristic
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—22no—
1706C4—41no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4#348411yescharacteristic
1723C4#349611yescharacteristic
1724C4#353411yescharacteristic
1725C4#354311yescharacteristic
1726C2—42no—
1727C2—81no—
1728C2—81no—
1729C2—81no—
1730C2—82no—
1731C2—82no—
1732C2—82no—
1733C2—161no—
1734C2—161no—
1735C2—161no—
1736C2#4299611yescharacteristic
1737C2#6107111yescharacteristic
1738C2#6108911yescharacteristic
1739C2#6160911yescharacteristic
1740C2#6166811yescharacteristic
1741C2#6231511yescharacteristic
1742C2#6234211yescharacteristic
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×#3274C2semidirect
2. C2×#3198C2semidirect
3. #44870C2semidirect
4. #42909C2semidirect
5. #31021C2semidirect
6. #30988C2semidirect
7. #30857C2semidirect
8. #30612C2semidirect
9. #30584C2semidirect
10. #30505C2semidirect
11. #30444C2semidirect
12. #30396C2semidirect
13. #28329C2semidirect
14. #26962C2semidirect
15. #26939C2semidirect
16. #26557C2semidirect
17. #25414C2semidirect
18. #25392C2semidirect
19. #25258C2semidirect
20. #25221C2semidirect
21. #24435C2semidirect
22. #24390C2semidirect
23. #24390C2semidirect
24. #24372C2semidirect
25. #24277C2semidirect
26. #24236C2semidirect
27. #24033C2semidirect
28. #23860C2semidirect
29. #23393C2semidirect
30. #22872C2semidirect
31. #22853C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#550C22semidirect
37. C2×#537C22semidirect
44. C2×#485C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#466C22semidirect
53. C2×#466C22semidirect
54. C2×#466C22semidirect
55. C2×#465C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#450C22semidirect
66. C2×#447C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×C4×SD16C22semidirect
70. C2×C4×D8C22semidirect
71. C2×#436C22semidirect
72. C2×#436C22semidirect
73. C2×#416C22semidirect
74. C22×#102C22semidirect
75. C2×#408C22semidirect
76. C2×#408C22semidirect
88. #2615C22semidirect
92. #2537C22semidirect
93. #2537C22semidirect
94. #2501C22semidirect
95. #2487C22semidirect
102. #2428C22semidirect
103. #2428C22semidirect
104. #2423C22semidirect
105. #2423C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
115. #2339C22semidirect
116. #2093C22semidirect
117. #2093C22semidirect
118. #2087C22semidirect
119. #2084C22semidirect
120. #2075C22semidirect
121. #2071C22semidirect
122. #2065C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
129. #2041C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
139. #2014C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1970C22semidirect
157. #1970C22semidirect
158. #1968C22semidirect
160. #1957C22semidirect
161. #1954C22semidirect
162. #1948C22semidirect
163. #1942C22semidirect
164. #1934C22semidirect
165. #1933C22semidirect
166. #1928C22semidirect
167. #1926C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
174. #1893C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1877C22semidirect
181. #1875C22semidirect
182. #1875C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
185. #1869C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1863C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1851C22semidirect
193. #1851C22semidirect
194. #1809C22semidirect
195. #1802C22semidirect
196. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. C4×#102C22semidirect
202. C8×C22⋊C4C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1736C22semidirect
339. #449D4semidirect
553. C2×#41C2×D4semidirect
894. #103C2×D4semidirect
922. #102C2×D4semidirect
933. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#31982
#448702
#429092
#310212
#309882
#308572
#306122
#305842
#305052
#304442
#303962
#283292
#269622
#269392
#265572
#254142
#253922
#252582
#252212
#244352
#243902
#243722
#242772
#242362
#240332
#238602
#233932
#228722
#228532