Finite Group Databasebeta

← #7195607

Subgroups — #7195607

Order 512.

2655 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3#59818C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#30426C211yesmaximal, characteristic, complemented
6#30425C211yesmaximal, characteristic, complemented
7#30424C211yesmaximal, characteristic, complemented
8#30421C211yesmaximal, characteristic, complemented
9#30416C211yesmaximal, characteristic, complemented
10#30415C211yesmaximal, characteristic, complemented
11#30413C211yesmaximal, characteristic, complemented
12#30412C211yesmaximal, characteristic, complemented
13#28163C211yesmaximal, characteristic, complemented
14#28162C211yesmaximal, characteristic, complemented
15#28147C211yesmaximal, characteristic, complemented
16#28146C211yesmaximal, characteristic, complemented
17#24247C211yesmaximal, characteristic, complemented
18#24245C211yesmaximal, characteristic, complemented
19#24245C211yesmaximal, characteristic, complemented
20#24244C211yesmaximal, characteristic, complemented
21#23871C211yesmaximal, characteristic, complemented
22#23870C211yesmaximal, characteristic, complemented
23#23869C211yesmaximal, characteristic, complemented
24#23866C211yesmaximal, characteristic, complemented
25#23863C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23796C211yesmaximal, characteristic, complemented
30#22271C211yesmaximal, characteristic, complemented
31#22264C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic, complemented
43C2×D42C2211yescharacteristic, complemented
44#3275—28no—
45#3273—28no—
46C2×#495C2211yescharacteristic
47C2×#470C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×C4×SD16C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×C4×D8C2211yescharacteristic, complemented
74C2×C4×D8C2211yescharacteristic, complemented
75C2×#436C2211yescharacteristic, complemented
76C2×#436C2211yescharacteristic, complemented
77#2680—21no—
78#2678—21no—
79#2678—21no—
80#2669—21no—
81#2555—21no—
82#2538C2211yescharacteristic, complemented
83#2537C2211yescharacteristic
84#2536C2211yescharacteristic, complemented
85#2536C2211yescharacteristic, complemented
86#2535C2211yescharacteristic
87#2535C2211yescharacteristic, complemented
88#2535C2211yescharacteristic, complemented
89#2535C2211yescharacteristic, complemented
90#2472—21no—
91#2472—21no—
92#2464—21no—
93#2464—21no—
94#2433—21no—
95#2428—21no—
96#2424—21no—
97#2424—21no—
98#2422—21no—
99#2409C2211yescharacteristic, complemented
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic, complemented
102#2408C2211yescharacteristic, complemented
103#2407C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic, complemented
107#2358—21no—
108D4×C22⋊C4—21no—
109C4×#127C2211yescharacteristic
110C4×#127C2211yescharacteristic, complemented
111C4×#124C2211yescharacteristic, complemented
112C4×#124C2211yescharacteristic, complemented
113C4×#124C2211yescharacteristic, complemented
114#2095C2211yescharacteristic, complemented
115#2094C2211yescharacteristic, complemented
116#2092C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2075C2211yescharacteristic, complemented
122#2074C2211yescharacteristic, complemented
123#2073C2211yescharacteristic, complemented
124#2072C2211yescharacteristic, complemented
125#2071C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2001C2211yescharacteristic, complemented
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1958C2211yescharacteristic, complemented
155#1958C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1954C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1835C2211yescharacteristic, complemented
191#1831C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1744C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×#137—24no—
215C2×#137—42no—
216C2×#137—42no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C22×M16C2311yescharacteristic
246#550—42no—
247#550—42no—
248#548—24no—
249#548—42no—
250#548—42no—
251#548—42no—
252#546—24no—
253#546—24no—
254#546—24no—
255#546—42no—
256#546—42no—
257#546—42no—
258#546—42no—
259#546—42no—
260D42—42no—
261D42—42no—
262C2×#127—21no—
263C2×#127D411yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#124—21no—
266C2×#124—21no—
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8—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×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C22×C22⋊C4—21no—
331C22×C22⋊C4—21no—
332C22×C22⋊C4—21no—
333C22×C22⋊C4—21no—
334#495D418yescomplemented
335#470—24no—
336#469—24no—
337#468—24no—
338#468—24no—
339#464—24no—
340#463—24no—
341#463—24no—
342#463—24no—
343#452—24no—
344#452—24no—
345#452—24no—
346#452—42no—
347#450—24no—
348#450—42no—
349#449—24no—
350#449—42no—
351#449—42no—
352#449—42no—
353#448—24no—
354#448—42no—
355#447—24no—
356#447—24no—
357#447—42no—
358#447—42no—
359C4×SD16—24no—
360C4×SD16—42no—
361C4×D8—24no—
362C4×D8—42no—
363#436—24no—
364#436—24no—
365C2×#107C2311yescharacteristic
366C2×#107C2311yescharacteristic
367C2×#106C2311yescharacteristic
368C2×#106C2311yescharacteristic
369C2×C4⋊C8C2311yescharacteristic
370C2×C4⋊C8C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417#398—21no—
418#398—21no—
419#397—21no—
420#397—21no—
421#397—21no—
422#397—21no—
423#396—21no—
424#396—21no—
425#395—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#393—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#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#390—21no—
453#390—21no—
454#390—21no—
455#390D411yescharacteristic
456#390D411yescharacteristic
457#390D411yescharacteristic
458#390D411yescharacteristic
459#390D411yescharacteristic
460#390D411yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#389—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—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#386—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#384D411yescharacteristic
496#384C2311yescharacteristic
497#382C2311yescharacteristic
498#382C2311yescharacteristic
499#382C2311yescharacteristic
500#380—21no—
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512C4×C22⋊C4—21no—
513C4×C22⋊C4—21no—
514C4×C22⋊C4—21no—
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C43C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C22×Q8—21no—
567C22×Q8—22no—
568C22×Q8—22no—
569C22×Q8—41no—
570C22×Q8—41no—
571C22×Q8—41no—
572C22×Q8—41no—
573C22×Q8C2411yescharacteristic
574C22×Q8C2411yescharacteristic
575C22×Q8C2411yescharacteristic
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
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—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—44no—
614C22×D4—44no—
615C22×D4—82no—
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2×D411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641#137—416no—
642AGL(1,ℤ/8)—416no—
643AGL(1,ℤ/8)—416no—
644AGL(1,ℤ/8)—416no—
645C2×Q16—22no—
646C2×Q16—22no—
647C2×Q16—41no—
648C2×Q16—41no—
649C2×Q16—41no—
650C2×Q16C2×D414yescomplemented
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16C2×D414yes—
674C2×SD16C2×D414yescomplemented
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8C2×D414yes—
693C2×M16—22no—
694C2×M16—22no—
695C2×M16—22no—
696C2×M16—22no—
697C2×M16—41no—
698C2×M16—41no—
699C2×M16—41no—
700C2×M16—41no—
701C2×M16—41no—
702C2×M16—41no—
703C2×M16—41no—
704C2×M16—41no—
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713#127—22no—
714#127—22no—
715#127—42no—
716#127—44no—
717#124—22no—
718#124—22no—
719#124—22no—
720#124—22no—
721#124—44no—
722#124—44no—
723#124C2×D414yes—
724#124C2×D414yescomplemented
725#123—44no—
726#123—44no—
727#123—44no—
728#123—44no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—22no—
732C22⋊Q8—22no—
733C22⋊Q8—22no—
734C22⋊Q8—22no—
735C22⋊Q8—44no—
736C22⋊Q8—44no—
737C22⋊Q8—41no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741C22⋊Q8—41no—
742C22⋊Q8—41no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—44no—
758#121—44no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—44no—
770#121—44no—
771#121—44no—
772#121—82no—
773#120—44no—
774#120—44no—
775#120—44no—
776#120—44no—
777#120—44no—
778#120—44no—
779#120—44no—
780#120—82no—
781#120—82no—
782C4×Q8—22no—
783C4×Q8—22no—
784C4×Q8—41no—
785C4×Q8—41no—
786C4×Q8—41no—
787C4×Q8—41no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—41no—
799C4×D4—41no—
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—44no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—82no—
814C4×D4—82no—
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⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—44no—
886C2×C22⋊C4—44no—
887C2×C22⋊C4—44no—
888C2×C22⋊C4—44no—
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42C2×D411yescharacteristic
905C2×C42C2×D411yescharacteristic
906C2×C42C2×D411yescharacteristic
907C2×C42C2×D411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911#107—22no—
912#107—41no—
913#106—22no—
914#106—41no—
915C4⋊C8—22no—
916C4⋊C8—22no—
917#103—22no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103—41no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955C22⋊C8—41no—
956C22⋊C8—41no—
957C22⋊C8—41no—
958C22⋊C8—41no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C4×C8—22no—
962C4×C8C2×D414yescomplemented
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#95—21no—
981#95—21no—
982#95—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011C24C22×D411yescharacteristic
1012C24C22×D411yescharacteristic
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
1027#41—82no—
1028#41—82no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—42no—
1045C2×Q8—42no—
1046C2×Q8—44no—
1047C2×Q8—81no—
1048C2×Q8—82no—
1049C2×Q8—82no—
1050C2×Q8—82no—
1051C2×Q8C22×D412yes—
1052C2×Q8C22×D412yes—
1053C2×Q8H(5,𝔽2)12yes—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—42no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
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—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—816no—
1167C2×D4C22×D412yes—
1168C2×D4C22×D412yes—
1169C2×D4H(5,𝔽2)12yes—
1170C2×D4H(5,𝔽2)12yes—
1171C2×D4H(5,𝔽2)12yes—
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—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—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C2511yescharacteristic
1248Q16—44no—
1249Q16—44no—
1250SD16—28no—
1251SD16—44no—
1252SD16—44no—
1253SD16—44no—
1254SD16—44no—
1255SD16—44no—
1256SD16—44no—
1257SD16—44no—
1258D8—28no—
1259D8—44no—
1260D8—44no—
1261D8—44no—
1262D8—44no—
1263D8—44no—
1264M16—44no—
1265M16—44no—
1266M16—44no—
1267M16—44no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8C22×D412yes—
1291C2×C8C22×D412yes—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—81no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C42—22no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42C22×D412yes—
1394C42H(5,𝔽2)12yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—41no—
1429C23—41no—
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—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23C23×D411yescharacteristic
1480Q8—22no—
1481Q8—22no—
1482Q8—22no—
1483Q8—22no—
1484Q8—22no—
1485Q8—22no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—84no—
1493D4—22no—
1494D4—22no—
1495D4—22no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—22no—
1501D4—22no—
1502D4—22no—
1503D4—48no—
1504D4—44no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—82no—
1516D4—82no—
1517D4—82no—
1518D4—84no—
1519D4—82no—
1520D4—82no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
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—41no—
1613C2×C4—41no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—162no—
1621C2×C4—162no—
1622C2×C4—162no—
1623C2×C4—162no—
1624C2×C4D4212yes—
1625C2×C4D4212yes—
1626C2×C4#57512yes—
1627C2×C4C23×D411yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C8—22no—
1634C8—22no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—168no—
1705C22—168no—
1706C22—168no—
1707C22C2×D4211yescharacteristic
1708C22#348411yescharacteristic
1709C22#348411yescharacteristic
1710C22C2×#57511yescharacteristic
1711C22#358411yescharacteristic
1712C22#358511yescharacteristic
1713C22#358511yescharacteristic
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4#348411yescharacteristic
1736C4#348411yescharacteristic
1737C4#353711yescharacteristic
1738C4#353711yescharacteristic
1739C2—81no—
1740C2—81no—
1741C2—81no—
1742C2—81no—
1743C2—82no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2—82no—
1748C2#4535511yescharacteristic
1749C2#6103811yescharacteristic
1750C2#6108211yescharacteristic
1751C2#6158111yescharacteristic
1752C2#6159011yescharacteristic
1753C2#6167811yescharacteristic
1754C2#6169011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3275C2semidirect
2. C2×#3273C2semidirect
3. #59818C2semidirect
4. #59412C2semidirect
5. #30426C2semidirect
6. #30425C2semidirect
7. #30424C2semidirect
8. #30421C2semidirect
9. #30416C2semidirect
10. #30415C2semidirect
11. #30413C2semidirect
12. #30412C2semidirect
13. #28163C2semidirect
14. #28162C2semidirect
15. #28147C2semidirect
16. #28146C2semidirect
17. #24247C2semidirect
18. #24245C2semidirect
19. #24245C2semidirect
20. #24244C2semidirect
21. #23871C2semidirect
22. #23870C2semidirect
23. #23869C2semidirect
24. #23866C2semidirect
25. #23863C2semidirect
26. #23861C2semidirect
27. #23860C2semidirect
28. #23860C2semidirect
29. #23796C2semidirect
30. #22271C2semidirect
31. #22264C2semidirect
32. C22×#137C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
37. C2×#548C22semidirect
38. C2×#548C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×D42C22semidirect
47. C2×#470C22semidirect
50. C2×#468C22semidirect
51. C2×#464C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×C4×SD16C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×C4×D8C22semidirect
74. C2×C4×D8C22semidirect
75. C2×#436C22semidirect
76. C2×#436C22semidirect
82. #2538C22semidirect
84. #2536C22semidirect
85. #2536C22semidirect
87. #2535C22semidirect
88. #2535C22semidirect
89. #2535C22semidirect
99. #2409C22semidirect
101. #2408C22semidirect
102. #2408C22semidirect
106. #2407C22semidirect
110. C4×#127C22semidirect
111. C4×#124C22semidirect
112. C4×#124C22semidirect
113. C4×#124C22semidirect
114. #2095C22semidirect
115. #2094C22semidirect
116. #2092C22semidirect
117. #2092C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2075C22semidirect
121. #2075C22semidirect
122. #2074C22semidirect
123. #2073C22semidirect
124. #2072C22semidirect
125. #2071C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2035C22semidirect
131. #2034C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
142. #2001C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1958C22semidirect
155. #1958C22semidirect
156. #1954C22semidirect
157. #1954C22semidirect
158. #1895C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
165. #1894C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1835C22semidirect
191. #1831C22semidirect
192. #1805C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1804C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. #1744C22semidirect
334. #495D4semidirect
650. C2×Q16C2×D4semidirect
674. C2×SD16C2×D4semidirect
724. #124C2×D4semidirect
962. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#32732
#598182
#594122
#304262
#304252
#304242
#304212
#304162
#304152
#304132
#304122
#281632
#281622
#281472
#281462
#242472
#242452
#242442
#238712
#238702
#238692
#238662
#238632
#238612
#238602
#237962
#222712
#222642