Finite Group Databasebeta

← #7143671

Subgroups — #7143671

Order 512.

2626 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3213C211yesmaximal, characteristic, complemented
3#59130C211yesmaximal, characteristic, complemented
4#39342C211yesmaximal, characteristic, complemented
5#31065C211yesmaximal, characteristic, complemented
6#31056C211yesmaximal, characteristic, complemented
7#30545C211yesmaximal, characteristic, complemented
8#30538C211yesmaximal, characteristic, complemented
9#30516C211yesmaximal, characteristic, complemented
10#30499C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#28931C211yesmaximal, characteristic, complemented
14#28919C211yesmaximal, characteristic, complemented
15#28480C211yesmaximal, characteristic, complemented
16#25791C211yesmaximal, characteristic, complemented
17#25783C211yesmaximal, characteristic, complemented
18#25770C211yesmaximal, characteristic, complemented
19#25763C211yesmaximal, characteristic, complemented
20#25756C211yesmaximal, characteristic, complemented
21#25731C211yesmaximal, characteristic, complemented
22#25397C211yesmaximal, characteristic, complemented
23#25380C211yesmaximal, characteristic, complemented
24#24661C211yesmaximal, characteristic, complemented
25#24640C211yesmaximal, characteristic, complemented
26#24256C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic, complemented
28#23855C211yesmaximal, characteristic, complemented
29#23576C211yesmaximal, characteristic, complemented
30#23105C211yesmaximal, characteristic, complemented
31#23086C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic, complemented
34C2×D4×Q8C2211yescharacteristic, complemented
35C2×#548C2211yescharacteristic
36C2×#546C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic, complemented
38C2×#535—21no—
39C2×#532C2211yescharacteristic
40C22×#124C2211yescharacteristic, complemented
41#3265—28no—
42#3213—28no—
43C2×#496C2211yescharacteristic
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic
46C2×#496C2211yescharacteristic
47C2×#496C2211yescharacteristic, complemented
48C2×#492C2211yescharacteristic, complemented
49C2×#489C2211yescharacteristic, complemented
50C2×#489C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#448C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic
76C2×#447C2211yescharacteristic
77C2×#447C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#440C2211yescharacteristic, complemented
81C2×#440C2211yescharacteristic, complemented
82C2×#435C2211yescharacteristic, complemented
83C2×#432C2211yescharacteristic, complemented
84#2856C2211yescharacteristic
85#2676—21no—
86#2674—21no—
87#2670—21no—
88#2670—21no—
89#2669—21no—
90#2669—21no—
91#2615—21no—
92#2545C2211yescharacteristic, complemented
93#2541C2211yescharacteristic
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic, complemented
96#2540C2211yescharacteristic
97#2537C2211yescharacteristic, complemented
98#2491—21no—
99#2491C2211yescharacteristic, complemented
100#2491C2211yescharacteristic, complemented
101#2472—21no—
102#2461—21no—
103#2437—21no—
104#2436C2211yescharacteristic, complemented
105#2433C2211yescharacteristic, complemented
106#2433C2211yescharacteristic, complemented
107#2432C2211yescharacteristic, complemented
108#2427C2211yescharacteristic, complemented
109#2426C2211yescharacteristic, complemented
110#2424—21no—
111#2414—21no—
112#2409C2211yescharacteristic, complemented
113#2408—21no—
114#2408C2211yescharacteristic
115#2408C2211yescharacteristic
116#2408C2211yescharacteristic, complemented
117#2367C2211yescharacteristic, complemented
118#2358—21no—
119#2354C2211yescharacteristic, complemented
120C4×C22⋊Q8C2211yescharacteristic, complemented
121C4×#121C2211yescharacteristic
122#2057C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic
126#2054C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1999C2211yescharacteristic
159#1999C2211yescharacteristic
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1983C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1981C2211yescharacteristic, complemented
165#1973C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1973C2211yescharacteristic, complemented
169#1970C2211yescharacteristic
170#1970C2211yescharacteristic, complemented
171#1959C2211yescharacteristic, complemented
172#1959C2211yescharacteristic, complemented
173#1955C2211yescharacteristic, complemented
174#1955C2211yescharacteristic, complemented
175#1954C2211yescharacteristic, complemented
176#1947C2211yescharacteristic, complemented
177#1940C2211yescharacteristic, complemented
178#1936C2211yescharacteristic, complemented
179#1936C2211yescharacteristic, complemented
180#1928C2211yescharacteristic, complemented
181#1928C2211yescharacteristic, complemented
182#1925C2211yescharacteristic, complemented
183#1925C2211yescharacteristic, complemented
184#1924C2211yescharacteristic, complemented
185#1924C2211yescharacteristic, complemented
186#1895C2211yescharacteristic, complemented
187#1892C2211yescharacteristic, complemented
188#1880C2211yescharacteristic, complemented
189#1880C2211yescharacteristic, complemented
190#1879C2211yescharacteristic
191#1879C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1771C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C22×SD16—24no—
217C22×SD16—42no—
218C22×SD16—42no—
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C23×C8C2311yescharacteristic
241D4×Q8—42no—
242D4×Q8—42no—
243#548—24no—
244#548—42no—
245#546—42no—
246#546—42no—
247D42—24no—
248D42—42no—
249#535—48no—
250#532—24no—
251#532—42no—
252C2×C4⋊Q8—21no—
253C2×C4⋊Q8C2311yescharacteristic
254C2×C4⋊Q8C2311yescharacteristic
255C2×#127—21no—
256C2×#127—21no—
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#124—21no—
262C2×#124—21no—
263C2×#124—21no—
264C2×#124—24no—
265C2×#124—21no—
266C2×#124—21no—
267C2×#124—21no—
268C2×#124—42no—
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#123—21no—
275C2×C22⋊Q8—21no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8—21no—
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×#121D411yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
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×#120—21no—
312C2×#120—21no—
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×#117—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327C22×C22⋊C4—21no—
328C22×C42C2311yescharacteristic
329#496—24no—
330#496—24no—
331#496—24no—
332#496—42no—
333#496—42no—
334#492—42no—
335#489—24no—
336#489—24no—
337#468—24no—
338#468—42no—
339#466—24no—
340#466—42no—
341#463—24no—
342#463—24no—
343#463—24no—
344#463D418yescomplemented
345#460—24no—
346#460—42no—
347#459—42no—
348#450—24no—
349#450—42no—
350#450—42no—
351#449—24no—
352#449—42no—
353#448—24no—
354#448—24no—
355#448—24no—
356#448—42no—
357#448—42no—
358#448—42no—
359#447—24no—
360#447—24no—
361#447—24no—
362#447—42no—
363#447—42no—
364#447—42no—
365#447—42no—
366#440—24no—
367#440—42no—
368#435—24no—
369#432—24no—
370C2×#107C2311yescharacteristic
371C2×#107C2311yescharacteristic
372C2×#107C2311yescharacteristic
373C2×#107C2311yescharacteristic
374C2×C4⋊C8C2311yescharacteristic
375C2×C4⋊C8C2311yescharacteristic
376C2×C4⋊C8C2311yescharacteristic
377C2×C4⋊C8C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×#97C2311yescharacteristic
421C2×#97C2311yescharacteristic
422C2×#97C2311yescharacteristic
423C2×#97C2311yescharacteristic
424C2×#97C2311yescharacteristic
425C2×C4×C8C2311yescharacteristic
426#399—21no—
427#397—21no—
428#396—21no—
429#396—21no—
430#396—21no—
431#395—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#393—21no—
444#393—21no—
445#393—21no—
446#393—21no—
447#393—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#390—21no—
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390D411yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#389D411yescharacteristic
482#389C2311yescharacteristic
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#388—21no—
488#388—21no—
489#388—21no—
490#388—21no—
491#388—21no—
492#388D411yescharacteristic
493#388D411yescharacteristic
494#387—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386D411yescharacteristic
500#386D411yescharacteristic
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#384C2311yescharacteristic
507#380—21no—
508#380—21no—
509#380—21no—
510#380D411yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C4⋊C4—21no—
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C4⋊C4C2311yescharacteristic
521C4×C4⋊C4C2311yescharacteristic
522C4×C22⋊C4—21no—
523C4×C22⋊C4—21no—
524C4×C22⋊C4C2311yescharacteristic
525C4×C22⋊C4C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25—21no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—44no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—44no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—82no—
552C22×Q8—21no—
553C22×Q8—21no—
554C22×Q8—21no—
555C22×Q8—22no—
556C22×Q8—22no—
557C22×Q8—22no—
558C22×Q8—41no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8—41no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
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—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
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—44no—
612C22×D4—44no—
613C22×D4—82no—
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4C2×D411yescharacteristic
630C23×C4C2×D411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634AGL(1,ℤ/8)—416no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—416no—
671C2×SD16C2×D414yes—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8C2×D414yes—
696C2×M16—22no—
697C2×M16—22no—
698C2×M16—41no—
699C22×C8—22no—
700C22×C8—22no—
701C22×C8—41no—
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C4⋊Q8—22no—
711C4⋊Q8—22no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8—44no—
715#127—22no—
716#127—22no—
717#127—22no—
718#127—41no—
719#127—41no—
720#127—41no—
721#127—41no—
722#127—41no—
723#127—44no—
724#127—44no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—22no—
729#124—22no—
730#124—22no—
731#124—44no—
732#124—44no—
733#124—44no—
734#124—41no—
735#124—41no—
736#124—41no—
737#124—44no—
738#124—44no—
739#124—44no—
740#124C2×D414yes—
741#123—44no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—44no—
747C22⋊Q8—44no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—44no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753#121—24no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—44no—
761#121—44no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—44no—
769#121—44no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—82no—
784#121—82no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—82no—
794#120—82no—
795C4×Q8—22no—
796C4×Q8—22no—
797C4×Q8—22no—
798C4×Q8—41no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
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×D4C2×D414yes—
814#117—44no—
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⋊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×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⋊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—21no—
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×C42—22no—
900C2×C42—22no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42C2×D411yescharacteristic
907C2×C42C2×D411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912#107—22no—
913#107—41no—
914#107—41no—
915#107—41no—
916C4⋊C8—22no—
917C4⋊C8—41no—
918C4⋊C8—41no—
919C4⋊C8C2×D414yes—
920#103—22no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103—41no—
930#103—41no—
931#103C2×D414yes—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102C2×D414yes—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962#97—22no—
963#97—22no—
964#97—22no—
965#97—22no—
966#97—41no—
967C4×C8—41no—
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#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017#41—44no—
1018#41—816no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
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—42no—
1039C2×Q8—42no—
1040C2×Q8—42no—
1041C2×Q8—42no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—44no—
1045C2×Q8—81no—
1046C2×Q8—81no—
1047C2×Q8—81no—
1048C2×Q8—82no—
1049C2×Q8—82no—
1050C2×Q8—82no—
1051C2×Q8—82no—
1052C2×Q8—82no—
1053C2×Q8—82no—
1054C2×Q8—82no—
1055C2×Q8C22×D412yes—
1056C2×Q8H(5,𝔽2)12yes—
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—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—42no—
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—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—44no—
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—42no—
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—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—816no—
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—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4AGL(1,ℤ/8)14yescomplemented
1182C2×D4C22×D412yes—
1183C2×D4C22×D412yes—
1184C22×C4—22no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—22no—
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—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—22no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
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—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4C22×D411yescharacteristic
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
1248SD16—28no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—44no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257SD16—82no—
1258SD16—82no—
1259SD16—82no—
1260D8—44no—
1261D8—44no—
1262D8—82no—
1263D8—82no—
1264D8—82no—
1265D8—82no—
1266D8—82no—
1267D8—82no—
1268M16—44no—
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—44no—
1290C2×C8C22×D412yes—
1291C2×C8C22×D412yes—
1292C2×C8H(5,𝔽2)12yes—
1293C2×C8H(5,𝔽2)12yes—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
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—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4C22×D412yes—
1324C4⋊C4H(5,𝔽2)12yes—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
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—22no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—81no—
1395C42C22×D412yes—
1396C42H(5,𝔽2)12yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
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—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—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23C2×AGL(1,ℤ/8)12yes—
1480C23C2×AGL(1,ℤ/8)12yes—
1481C23C23×D411yescharacteristic
1482Q8—22no—
1483Q8—22no—
1484Q8—22no—
1485Q8—22no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—84no—
1495Q8—84no—
1496Q8—84no—
1497D4—22no—
1498D4—22no—
1499D4—22no—
1500D4—22no—
1501D4—44no—
1502D4—44no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—84no—
1524D4—82no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
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—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—44no—
1582C2×C4—48no—
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—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—82no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—162no—
1627C2×C4D4212yes—
1628C2×C4D4212yes—
1629C2×C4C2×AGL(1,ℤ/8)12yes—
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C8—22no—
1637C8—22no—
1638C8—22no—
1639C8—22no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C8—41no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
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—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—168no—
1708C22—168no—
1709C22—168no—
1710C22C2×D4211yescharacteristic
1711C22#348411yescharacteristic
1712C22#349811yescharacteristic
1713C22C22×AGL(1,ℤ/8)11yescharacteristic
1714C22#358511yescharacteristic
1715C22#358511yescharacteristic
1716C22#358611yescharacteristic
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4#348411yescharacteristic
1739C4#349811yescharacteristic
1740C4#353711yescharacteristic
1741C4#354911yescharacteristic
1742C2—42no—
1743C2—42no—
1744C2—81no—
1745C2—82no—
1746C2—82no—
1747C2—161no—
1748C2—161no—
1749C2—161no—
1750C2—161no—
1751C2#4487011yescharacteristic
1752C2#6106211yescharacteristic
1753C2D4×AGL(1,ℤ/8)11yescharacteristic
1754C2#6157211yescharacteristic
1755C2#6167311yescharacteristic
1756C2#6244611yescharacteristic
1757C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3213C2semidirect
3. #59130C2semidirect
4. #39342C2semidirect
5. #31065C2semidirect
6. #31056C2semidirect
7. #30545C2semidirect
8. #30538C2semidirect
9. #30516C2semidirect
10. #30499C2semidirect
11. #30472C2semidirect
12. #30460C2semidirect
13. #28931C2semidirect
14. #28919C2semidirect
15. #28480C2semidirect
16. #25791C2semidirect
17. #25783C2semidirect
18. #25770C2semidirect
19. #25763C2semidirect
20. #25756C2semidirect
21. #25731C2semidirect
22. #25397C2semidirect
23. #25380C2semidirect
24. #24661C2semidirect
25. #24640C2semidirect
26. #24256C2semidirect
27. #23861C2semidirect
28. #23855C2semidirect
29. #23576C2semidirect
30. #23105C2semidirect
31. #23086C2semidirect
33. C23×SD16C22semidirect
34. C2×D4×Q8C22semidirect
36. C2×#546C22semidirect
37. C2×D42C22semidirect
40. C22×#124C22semidirect
47. C2×#496C22semidirect
48. C2×#492C22semidirect
49. C2×#489C22semidirect
50. C2×#489C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#460C22semidirect
56. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#463C22semidirect
61. C2×#459C22semidirect
63. C2×#449C22semidirect
65. C2×#448C22semidirect
66. C2×#448C22semidirect
67. C2×#448C22semidirect
68. C2×#448C22semidirect
69. C2×#448C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
77. C2×#447C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#440C22semidirect
81. C2×#440C22semidirect
82. C2×#435C22semidirect
83. C2×#432C22semidirect
92. #2545C22semidirect
95. #2541C22semidirect
97. #2537C22semidirect
99. #2491C22semidirect
100. #2491C22semidirect
104. #2436C22semidirect
105. #2433C22semidirect
106. #2433C22semidirect
107. #2432C22semidirect
108. #2427C22semidirect
109. #2426C22semidirect
112. #2409C22semidirect
116. #2408C22semidirect
117. #2367C22semidirect
119. #2354C22semidirect
120. C4×C22⋊Q8C22semidirect
122. #2057C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
126. #2054C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
141. #2013C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1983C22semidirect
163. #1982C22semidirect
164. #1981C22semidirect
165. #1973C22semidirect
166. #1973C22semidirect
167. #1973C22semidirect
168. #1973C22semidirect
170. #1970C22semidirect
171. #1959C22semidirect
172. #1959C22semidirect
173. #1955C22semidirect
174. #1955C22semidirect
175. #1954C22semidirect
176. #1947C22semidirect
177. #1940C22semidirect
178. #1936C22semidirect
179. #1936C22semidirect
180. #1928C22semidirect
181. #1928C22semidirect
182. #1925C22semidirect
183. #1925C22semidirect
184. #1924C22semidirect
185. #1924C22semidirect
186. #1895C22semidirect
187. #1892C22semidirect
188. #1880C22semidirect
189. #1880C22semidirect
191. #1879C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1803C22semidirect
195. #1788C22semidirect
196. #1787C22semidirect
197. #1771C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. C4×#103C22semidirect
202. #1753C22semidirect
203. #1752C22semidirect
204. #1749C22semidirect
344. #463D4semidirect
1181. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#32132
#591302
#393422
#310652
#310562
#305452
#305382
#305162
#304992
#304722
#304602
#289312
#289192
#284802
#257912
#257832
#257702
#257632
#257562
#257312
#253972
#253802
#246612
#246402
#242562
#238612
#238552
#235762
#231052
#230862