Finite Group Databasebeta

← #6815993

Subgroups — #6815993

Order 512.

2639 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3194C211yesmaximal, characteristic, complemented
2C2×#3193C211yesmaximal, characteristic, complemented
3#36097C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#33185C211yesmaximal, characteristic, complemented
6#31197C211yesmaximal, characteristic, complemented
7#31188C211yesmaximal, characteristic, complemented
8#31058C211yesmaximal, characteristic, complemented
9#31057C211yesmaximal, characteristic, complemented
10#31028C211yesmaximal, characteristic, complemented
11#31027C211yesmaximal, characteristic, complemented
12#31017C211yesmaximal, characteristic, complemented
13#31016C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29742C211yesmaximal, characteristic, complemented
16#26248C211yesmaximal, characteristic, complemented
17#26244C211yesmaximal, characteristic, complemented
18#25768C211yesmaximal, characteristic, complemented
19#25763C211yesmaximal, characteristic, complemented
20#25027C211yesmaximal, characteristic, complemented
21#25024C211yesmaximal, characteristic, complemented
22#24761C211yesmaximal, characteristic, complemented
23#24756C211yesmaximal, characteristic, complemented
24#24388C211yesmaximal, characteristic, complemented
25#24387C211yesmaximal, characteristic, complemented
26#24385C211yesmaximal, characteristic, complemented
27#24384C211yesmaximal, characteristic, complemented
28#24256C211yesmaximal, characteristic, complemented
29#24252C211yesmaximal, characteristic, complemented
30#21540C211yesmaximal, characteristic, complemented
31#21190C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×#525C2211yescharacteristic, complemented
36C22×C22⋊Q8C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40#3194—28no—
41#3193—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#484C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#483C2211yescharacteristic, complemented
48C2×#480C2211yescharacteristic, complemented
49C2×#480C2211yescharacteristic, complemented
50C2×#480C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic
56C2×#468C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#468C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#440C2211yescharacteristic, complemented
75C2×#423C2211yescharacteristic, complemented
76C2×#407C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic, complemented
79C2×#407C2211yescharacteristic, complemented
80C2×C4×M16C2211yescharacteristic, complemented
81#2856C2211yescharacteristic
82#2850C2211yescharacteristic, complemented
83#2848C2211yescharacteristic, complemented
84#2847C2211yescharacteristic
85#2847C2211yescharacteristic
86#2847C2211yescharacteristic, complemented
87#2541C2211yescharacteristic
88#2540C2211yescharacteristic
89#2537C2211yescharacteristic
90#2536C2211yescharacteristic
91#2472—21no—
92#2463—21no—
93#2461—21no—
94#2449—21no—
95#2443—21no—
96#2428—21no—
97#2424—21no—
98#2424—21no—
99#2416—21no—
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic
102#2416C2211yescharacteristic, complemented
103#2415C2211yescharacteristic, complemented
104#2410—21no—
105#2410—21no—
106#2410—21no—
107#2409C2211yescharacteristic, complemented
108#2408C2211yescharacteristic
109#2408C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2361—21no—
112#2358—21no—
113#2352C2211yescharacteristic, complemented
114D4×C4⋊C4C2211yescharacteristic
115D4×C22⋊C4—21no—
116C4×C22⋊Q8C2211yescharacteristic, complemented
117C4×#121C2211yescharacteristic
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2076C2211yescharacteristic, complemented
121#2075C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2033C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1970C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1968C2211yescharacteristic, complemented
165#1961C2211yescharacteristic, complemented
166#1959C2211yescharacteristic, complemented
167#1955C2211yescharacteristic
168#1955C2211yescharacteristic
169#1955C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1954C2211yescharacteristic, complemented
172#1954C2211yescharacteristic, complemented
173#1954C2211yescharacteristic, complemented
174#1954C2211yescharacteristic, complemented
175#1949C2211yescharacteristic, complemented
176#1947C2211yescharacteristic, complemented
177#1942C2211yescharacteristic, complemented
178#1934C2211yescharacteristic, complemented
179#1933C2211yescharacteristic, complemented
180#1895C2211yescharacteristic
181#1895C2211yescharacteristic, complemented
182#1895C2211yescharacteristic, complemented
183#1895C2211yescharacteristic, complemented
184#1894C2211yescharacteristic, complemented
185#1894C2211yescharacteristic, complemented
186#1875C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1874C2211yescharacteristic, complemented
189#1872C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1852C2211yescharacteristic, complemented
193#1852C2211yescharacteristic, complemented
194#1847C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1804C2211yescharacteristic, complemented
197#1803C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1776C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4D411yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228#548—42no—
229#548—42no—
230D42—42no—
231D42—42no—
232D42—48no—
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#124—21no—
236C2×#124C2311yescharacteristic
237#525—24no—
238#525—42no—
239C2×#123—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—24no—
244C2×C22⋊Q8—42no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—24no—
265C2×#121—24no—
266C2×#121—42no—
267C2×#121—42no—
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×C4×Q8C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—42no—
298C2×C4×D4—42no—
299C2×C4×D4D411yescharacteristic
300C2×C4×D4D411yescharacteristic
301C2×C4×D4D411yescharacteristic
302C2×C4×D4D411yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C22×C4⋊C4—21no—
310C22×C4⋊C4D411yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4D411yescharacteristic
318C22×C22⋊C4D411yescharacteristic
319C22×C42C2311yescharacteristic
320#496—42no—
321#484—24no—
322#484—24no—
323#483—24no—
324#482—24no—
325#482—24no—
326#480—24no—
327#480—24no—
328#480—24no—
329#469—24no—
330#469—24no—
331#469—42no—
332#468—24no—
333#468—24no—
334#468—24no—
335#468—24no—
336#468—42no—
337#468D418yescomplemented
338#463—42no—
339#460—42no—
340#450—24no—
341#450—24no—
342#450—24no—
343#450—42no—
344#449—24no—
345#449—24no—
346#449—42no—
347#448—24no—
348#448—24no—
349#448—42no—
350#447—24no—
351#447—42no—
352#440—42no—
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364#423—42no—
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368C2×C4⋊C8C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
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
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399#407—24no—
400#407—24no—
401#407—42no—
402#407—42no—
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×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C4×M16—42no—
420C2×#97C2311yescharacteristic
421C2×#97C2311yescharacteristic
422C2×C4×C8C2311yescharacteristic
423C2×C4×C8C2311yescharacteristic
424#399—21no—
425#398—21no—
426#397—21no—
427#396—21no—
428#396—21no—
429#396—21no—
430#395—21no—
431#394—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#393—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390—21no—
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#389—21no—
460#389—21no—
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#387—21no—
471#387—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#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#385—21no—
496#385—21no—
497#385—21no—
498#384C2311yescharacteristic
499#382C2311yescharacteristic
500#380—21no—
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#379—21no—
512#379—21no—
513#379—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25C2×D411yescharacteristic
537C25C2×D411yescharacteristic
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8—21no—
545C22×Q8—22no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—24no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—42no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—42no—
588C22×D4—44no—
589C22×D4—44no—
590C22×D4—44no—
591C22×D4—44no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—82no—
596C22×D4—82no—
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4C2×D411yescharacteristic
624C23×C4C2×D411yescharacteristic
625C23×C4C2×D411yescharacteristic
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2×D411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16C2×D414yescomplemented
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×M16—22no—
664C2×M16—22no—
665C2×M16—22no—
666C2×M16—22no—
667C2×M16—41no—
668C2×M16—41no—
669C2×M16—41no—
670C2×M16—41no—
671C2×M16—41no—
672C2×M16—41no—
673C2×M16—41no—
674C2×M16C2×D414yescomplemented
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683#127—22no—
684#127—22no—
685#127—44no—
686#124—22no—
687#124—22no—
688#124—44no—
689#123—44no—
690C22⋊Q8—22no—
691C22⋊Q8—22no—
692C22⋊Q8—22no—
693C22⋊Q8—22no—
694C22⋊Q8—22no—
695C22⋊Q8—22no—
696C22⋊Q8—44no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699C22⋊Q8—41no—
700C22⋊Q8—41no—
701C22⋊Q8—41no—
702C22⋊Q8—44no—
703C22⋊Q8—44no—
704C22⋊Q8—41no—
705C22⋊Q8—41no—
706C22⋊Q8C2×D414yescomplemented
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—44no—
720#121—44no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—44no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—82no—
748#121C2×D414yes—
749#120—44no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757C4×Q8—22no—
758C4×Q8—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—42no—
766C4×D4—42no—
767C4×D4—42no—
768C4×D4—42no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4—44no—
776C4×D4—44no—
777C4×D4—44no—
778#117—22no—
779#117—41no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—22no—
782C2×C4⋊C4—22no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—41no—
800C2×C4⋊C4—41no—
801C2×C4⋊C4—41no—
802C2×C4⋊C4—44no—
803C2×C4⋊C4C2×D411yescharacteristic
804C2×C4⋊C4C2×D411yescharacteristic
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—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⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
874C2×C42—22no—
875C2×C42—22no—
876C2×C42—21no—
877C2×C42—21no—
878C2×C42—21no—
879C2×C42—21no—
880C2×C42C2×D411yescharacteristic
881C2×C42C2×D411yescharacteristic
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884#107—22no—
885#107—22no—
886#107—22no—
887#107—22no—
888#107—41no—
889#107—41no—
890#107C2×D414yescomplemented
891#106—22no—
892#106—22no—
893#106—41no—
894#106—41no—
895C4⋊C8—22no—
896C4⋊C8—22no—
897C4⋊C8—41no—
898C4⋊C8—41no—
899#103—22no—
900#103—22no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—41no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103C2×D414yescomplemented
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102C2×D414yescomplemented
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945#97—22no—
946#97—22no—
947C4×C8—41no—
948C4×C8—41no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969C24—21no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—41no—
979C24—41no—
980C24—41no—
981C24—41no—
982C24—41no—
983C24—41no—
984C24—41no—
985C24—41no—
986C24—41no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004C24C22×D411yescharacteristic
1005C24C22×D411yescharacteristic
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—42no—
1022C2×Q8—42no—
1023C2×Q8—81no—
1024C2×Q8—82no—
1025C2×Q8—82no—
1026C2×Q8—82no—
1027C2×Q8—82no—
1028C2×Q8C22×D412yes—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—24no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
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—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—42no—
1065C2×D4—42no—
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—416no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
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—42no—
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—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
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—816no—
1133C2×D4—816no—
1134C2×D4—816no—
1135C2×D4AGL(1,ℤ/8)14yes—
1136C2×D4C22×D412yes—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
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—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—82no—
1215C22×C4—82no—
1216C22×C4—82no—
1217C22×C4—82no—
1218C22×C4—82no—
1219C22×C4—82no—
1220C22×C4—82no—
1221C22×C4—82no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D412yes—
1236C22×C4C22×D411yescharacteristic
1237C22×C4H(5,𝔽2)12yes—
1238C22×C4C2511yescharacteristic
1239SD16—44no—
1240SD16—82no—
1241SD16—82no—
1242SD16—82no—
1243SD16—82no—
1244SD16—82no—
1245D8—82no—
1246D8—82no—
1247D8—82no—
1248M16—44no—
1249M16—44no—
1250M16—82no—
1251M16—82no—
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—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8C22×D412yes—
1274C2×C8C22×D412yes—
1275C2×C8H(5,𝔽2)12yes—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
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—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—81no—
1312C4⋊C4—81no—
1313C4⋊C4C22×D412yes—
1314C4⋊C4C22×D412yes—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—24no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
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—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—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C42—22no—
1368C42—22no—
1369C42—21no—
1370C42—21no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—81no—
1375C42H(5,𝔽2)12yes—
1376C42H(5,𝔽2)12yes—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
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—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
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—41no—
1439C23—41no—
1440C23—41no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23D4212yes—
1465C23C2×AGL(1,ℤ/8)12yes—
1466C23C2×AGL(1,ℤ/8)12yes—
1467C23#57512yes—
1468C23C23×D411yescharacteristic
1469Q8—22no—
1470Q8—22no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—84no—
1478D4—28no—
1479D4—22no—
1480D4—22no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—48no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—44no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
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—41no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4#53412yes—
1612C2×C4#53412yes—
1613C2×C4D4212yes—
1614C2×C4C2×AGL(1,ℤ/8)12yes—
1615C2×C4C23×D411yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4#58511yescharacteristic
1621C8—22no—
1622C8—22no—
1623C8—22no—
1624C8—41no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—88no—
1668C22—88no—
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—81no—
1693C22—81no—
1694C22—168no—
1695C22—168no—
1696C22C2×#53411yescharacteristic
1697C22C2×D4211yescharacteristic
1698C22#349611yescharacteristic
1699C22C22×AGL(1,ℤ/8)11yescharacteristic
1700C22C2×#57511yescharacteristic
1701C22#358511yescharacteristic
1702C22#358611yescharacteristic
1703C4—22no—
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—41no—
1708C4—42no—
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—81no—
1723C4—81no—
1724C4#349611yescharacteristic
1725C4#349811yescharacteristic
1726C4#353711yescharacteristic
1727C4#355811yescharacteristic
1728C2—42no—
1729C2—42no—
1730C2—42no—
1731C2—42no—
1732C2—81no—
1733C2—82no—
1734C2—161no—
1735C2—161no—
1736C2—161no—
1737C2#3935811yescharacteristic
1738C2#6075011yescharacteristic
1739C2#6077211yescharacteristic
1740C2D4×AGL(1,ℤ/8)11yescharacteristic
1741C2#6106811yescharacteristic
1742C2#6229511yescharacteristic
1743C2#6230111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3194C2semidirect
2. C2×#3193C2semidirect
3. #36097C2semidirect
4. D4×#121C2semidirect
5. #33185C2semidirect
6. #31197C2semidirect
7. #31188C2semidirect
8. #31058C2semidirect
9. #31057C2semidirect
10. #31028C2semidirect
11. #31027C2semidirect
12. #31017C2semidirect
13. #31016C2semidirect
14. #29744C2semidirect
15. #29742C2semidirect
16. #26248C2semidirect
17. #26244C2semidirect
18. #25768C2semidirect
19. #25763C2semidirect
20. #25027C2semidirect
21. #25024C2semidirect
22. #24761C2semidirect
23. #24756C2semidirect
24. #24388C2semidirect
25. #24387C2semidirect
26. #24385C2semidirect
27. #24384C2semidirect
28. #24256C2semidirect
29. #24252C2semidirect
30. #21540C2semidirect
31. #21190C2semidirect
32. C2×#548C22semidirect
35. C2×#525C22semidirect
36. C22×C22⋊Q8C22semidirect
42. C2×#496C22semidirect
43. C2×#484C22semidirect
44. C2×#484C22semidirect
45. C2×#482C22semidirect
46. C2×#482C22semidirect
47. C2×#483C22semidirect
48. C2×#480C22semidirect
49. C2×#480C22semidirect
50. C2×#480C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
56. C2×#468C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
59. C2×#468C22semidirect
60. C2×#460C22semidirect
61. C2×#463C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#448C22semidirect
66. C2×#448C22semidirect
67. C2×#448C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#447C22semidirect
73. C2×#447C22semidirect
74. C2×#440C22semidirect
75. C2×#423C22semidirect
76. C2×#407C22semidirect
77. C2×#407C22semidirect
78. C2×#407C22semidirect
79. C2×#407C22semidirect
80. C2×C4×M16C22semidirect
82. #2850C22semidirect
83. #2848C22semidirect
86. #2847C22semidirect
102. #2416C22semidirect
103. #2415C22semidirect
107. #2409C22semidirect
110. #2407C22semidirect
113. #2352C22semidirect
116. C4×C22⋊Q8C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2076C22semidirect
121. #2075C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2067C22semidirect
125. #2066C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2055C22semidirect
129. #2054C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2033C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1970C22semidirect
161. #1970C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1968C22semidirect
165. #1961C22semidirect
166. #1959C22semidirect
169. #1955C22semidirect
170. #1955C22semidirect
171. #1954C22semidirect
172. #1954C22semidirect
173. #1954C22semidirect
174. #1954C22semidirect
175. #1949C22semidirect
176. #1947C22semidirect
177. #1942C22semidirect
178. #1934C22semidirect
179. #1933C22semidirect
181. #1895C22semidirect
182. #1895C22semidirect
183. #1895C22semidirect
184. #1894C22semidirect
185. #1894C22semidirect
186. #1875C22semidirect
187. #1874C22semidirect
188. #1874C22semidirect
189. #1872C22semidirect
190. #1854C22semidirect
191. #1853C22semidirect
192. #1852C22semidirect
193. #1852C22semidirect
194. #1847C22semidirect
195. #1809C22semidirect
196. #1804C22semidirect
197. #1803C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1776C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
337. #468D4semidirect
653. C2×SD16C2×D4semidirect
674. C2×M16C2×D4semidirect
706. C22⋊Q8C2×D4semidirect
890. #107C2×D4semidirect
908. #103C2×D4semidirect
928. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31942
C2×#31932
#360972
D4×#1212
#331852
#311972
#311882
#310582
#310572
#310282
#310272
#310172
#310162
#297442
#297422
#262482
#262442
#257682
#257632
#250272
#250242
#247612
#247562
#243882
#243872
#243852
#243842
#242562
#242522
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