Finite Group Databasebeta

← #6809378

Subgroups — #6809378

Order 512.

2797 conjugacy classes of subgroups.

The subgroup lattice has 1823 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3194C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3D4×#121C211yesmaximal, characteristic, complemented
4#34936C211yesmaximal, characteristic, complemented
5#33113C211yesmaximal, characteristic, complemented
6#30723C211yesmaximal, characteristic, complemented
7#30719C211yesmaximal, characteristic, complemented
8#30705C211yesmaximal, characteristic, complemented
9#30701C211yesmaximal, characteristic, complemented
10#30510C211yesmaximal, characteristic, complemented
11#30509C211yesmaximal, characteristic, complemented
12#30500C211yesmaximal, characteristic, complemented
13#30499C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28493C211yesmaximal, characteristic, complemented
18#26244C211yesmaximal, characteristic, complemented
19#26242C211yesmaximal, characteristic, complemented
20#25763C211yesmaximal, characteristic, complemented
21#25763C211yesmaximal, characteristic, complemented
22#25729C211yesmaximal, characteristic, complemented
23#25401C211yesmaximal, characteristic, complemented
24#25397C211yesmaximal, characteristic, complemented
25#24388C211yesmaximal, characteristic, complemented
26#24382C211yesmaximal, characteristic, complemented
27#24214C211yesmaximal, characteristic, complemented
28#23920C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#22399C211yesmaximal, characteristic, complemented
31#21582C211yesmaximal, characteristic, complemented
32C2×D42—21no—
33C2×D42C2211yescharacteristic
34C2×#532C2211yescharacteristic, complemented
35C2×#525C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic, complemented
37C2×#525C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#3194—28no—
43#3188—28no—
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#484C2211yescharacteristic, complemented
47C2×#481C2211yescharacteristic, complemented
48C2×#482C2211yescharacteristic
49C2×#482C2211yescharacteristic, complemented
50C2×#482C2211yescharacteristic, complemented
51C2×#483C2211yescharacteristic, complemented
52C2×#480C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#469C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#466C2211yescharacteristic, complemented
60C2×#466C2211yescharacteristic, complemented
61C2×#466C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#465C2211yescharacteristic, complemented
65C2×#463C2211yescharacteristic, complemented
66C2×#463C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#450C2211yescharacteristic, complemented
76C2×#450C2211yescharacteristic, complemented
77C2×#447C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic, complemented
81C2×#435C2211yescharacteristic, complemented
82C2×#435C2211yescharacteristic, complemented
83C2×#407C2211yescharacteristic, complemented
84C22×C22⋊C8C2211yescharacteristic, complemented
85#2856C2211yescharacteristic
86#2847C2211yescharacteristic
87#2847C2211yescharacteristic
88#2542C2211yescharacteristic, complemented
89#2542C2211yescharacteristic, complemented
90#2541C2211yescharacteristic
91#2541C2211yescharacteristic, complemented
92#2541C2211yescharacteristic, complemented
93#2540C2211yescharacteristic
94#2540C2211yescharacteristic
95#2540C2211yescharacteristic, complemented
96#2540C2211yescharacteristic, complemented
97#2539—21no—
98#2539—21no—
99#2537C2211yescharacteristic
100#2501—21no—
101#2433—21no—
102#2428—21no—
103#2424—21no—
104#2424—21no—
105#2416—21no—
106#2416C2211yescharacteristic
107#2416C2211yescharacteristic
108#2410—21no—
109#2410—21no—
110#2408C2211yescharacteristic
111#2408C2211yescharacteristic
112#2397—21no—
113#2397—21no—
114D4×C4⋊C4C2211yescharacteristic
115D4×C22⋊C4—21no—
116C4×#127—21no—
117C4×#127—21no—
118C4×#121C2211yescharacteristic
119C4×#117C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2013C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1983C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1959C2211yescharacteristic, complemented
166#1955C2211yescharacteristic
167#1955C2211yescharacteristic
168#1948C2211yescharacteristic, complemented
169#1947C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1925C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1919C2211yescharacteristic, complemented
177#1918C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
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×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231D42—42no—
232D42—42no—
233D42—48no—
234#532—42no—
235#532—42no—
236C2×C4⋊Q8C2311yescharacteristic
237C2×#127—21no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244#525—24no—
245#525—24no—
246#525—42no—
247#525—42no—
248#525—42no—
249#525—42no—
250#525—42no—
251#525—42no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—24no—
277C2×#121—24no—
278C2×#121—42no—
279C2×#121—42no—
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—42no—
322C2×C4×D4—42no—
323C2×C4×D4D411yescharacteristic
324C2×C4×D4D411yescharacteristic
325C2×C4×D4D411yescharacteristic
326C2×C4×D4D411yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C22×C4⋊C4D411yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C22⋊C4—21no—
338C22×C22⋊C4—21no—
339C22×C22⋊C4D411yescharacteristic
340C22×C22⋊C4D411yescharacteristic
341C22×C42C2311yescharacteristic
342#496—42no—
343#496—42no—
344#484—24no—
345#483—24no—
346#482—24no—
347#482—24no—
348#482D418yescomplemented
349#481—24no—
350#480—24no—
351#469—24no—
352#469—24no—
353#469—42no—
354#468—24no—
355#468—24no—
356#468—42no—
357#466—24no—
358#466—24no—
359#466—42no—
360#465—24no—
361#465—24no—
362#465—42no—
363#463—42no—
364#463—42no—
365#450—24no—
366#450—24no—
367#450—42no—
368#450—42no—
369#449—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449—42no—
374#449—42no—
375#447—24no—
376#447—24no—
377#447—42no—
378#447—42no—
379#435—42no—
380#435—42no—
381C2×#107C2311yescharacteristic
382C2×#107C2311yescharacteristic
383C2×#107C2311yescharacteristic
384C2×#107C2311yescharacteristic
385C2×#106C2311yescharacteristic
386C2×#106C2311yescharacteristic
387C2×#106C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×C4⋊C8C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#103C2311yescharacteristic
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423#407—24no—
424C2×C22⋊C8—24no—
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×#97C2311yescharacteristic
442C2×#97C2311yescharacteristic
443#399—21no—
444#399—21no—
445#399—21no—
446#399—21no—
447#399—21no—
448#399—21no—
449#399—21no—
450#399—21no—
451#396—21no—
452#396—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390—21no—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#389—21no—
490#389C2311yescharacteristic
491#388—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#385—21no—
502#385—21no—
503#384—21no—
504#384—21no—
505#384C2311yescharacteristic
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4—21no—
520C4×C22⋊C4—21no—
521C4×C22⋊C4—21no—
522#376—21no—
523C43—21no—
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25C2×D411yescharacteristic
543C25C2×D411yescharacteristic
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×D4—21no—
559C22×D4—24no—
560C22×D4—22no—
561C22×D4—22no—
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—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—42no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—42no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—41no—
628C23×C4—41no—
629C23×C4—41no—
630C23×C4—41no—
631C23×C4—41no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4C2×D411yescharacteristic
636C23×C4C2×D411yescharacteristic
637C23×C4C2×D411yescharacteristic
638C23×C4C2×D411yescharacteristic
639C23×C4C2×D411yescharacteristic
640C23×C4C2×D411yescharacteristic
641C23×C4C2×D411yescharacteristic
642C23×C4C2×D411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
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×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×M16—22no—
685C2×M16—22no—
686C2×M16—41no—
687C2×M16—41no—
688C2×M16—41no—
689C2×M16—41no—
690C22×C8—22no—
691C22×C8—22no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8—41no—
695C22×C8—41no—
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C4⋊Q8—41no—
705C4⋊Q8—41no—
706#127—22no—
707#127—22no—
708#127—41no—
709#127—41no—
710#127—44no—
711#127—44no—
712#127—44no—
713#124—22no—
714#124—22no—
715#124—22no—
716#124—22no—
717#123—44no—
718#123—44no—
719#123—44no—
720#123—44no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—22no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—22no—
728C22⋊Q8—22no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
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—22no—
754#121—44no—
755#121—44no—
756#121—41no—
757#121—41no—
758#121—41no—
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—41no—
770#121—41no—
771#121—41no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—82no—
786#121C2×D414yes—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—42no—
804C4×D4—42no—
805C4×D4—42no—
806C4×D4—42no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—44no—
823#117—22no—
824#117—22no—
825#117—22no—
826#117C2×D414yescomplemented
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—41no—
846C2×C4⋊C4—41no—
847C2×C4⋊C4C2×D411yescharacteristic
848C2×C4⋊C4C2×D411yescharacteristic
849C2×C4⋊C4C2×D411yescharacteristic
850C2×C4⋊C4C2×D411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
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—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—44no—
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C42—21no—
918C2×C42—21no—
919C2×C42—22no—
920C2×C42—22no—
921C2×C42—21no—
922C2×C42—21no—
923C2×C42—21no—
924C2×C42—21no—
925C2×C42—21no—
926C2×C42C2×D411yescharacteristic
927C2×C42C2×D411yescharacteristic
928C2×C42C2411yescharacteristic
929C2×C42C2411yescharacteristic
930#107—22no—
931#107—22no—
932#107—22no—
933#107C2×D414yescomplemented
934#106—22no—
935#106—22no—
936#106—22no—
937#106C2×D414yescomplemented
938C4⋊C8—22no—
939C4⋊C8—22no—
940#103—22no—
941#103—22no—
942#103—22no—
943#103—22no—
944#103—41no—
945#103—41no—
946#103—41no—
947#103—41no—
948#103—41no—
949#103—41no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—22no—
954#102—22no—
955#102—22no—
956#102—22no—
957#102—22no—
958#102—22no—
959#102—22no—
960#102—22no—
961#102—22no—
962#102—22no—
963#102—22no—
964#102—41no—
965#102—41no—
966#102—41no—
967#102—41no—
968#102—41no—
969#102—41no—
970#102C2×D414yescomplemented
971#102C2×D414yescomplemented
972C22⋊C8—22no—
973C22⋊C8—22no—
974C22⋊C8—22no—
975C22⋊C8—22no—
976C22⋊C8—22no—
977C22⋊C8—22no—
978C22⋊C8—22no—
979C22⋊C8—41no—
980C22⋊C8—41no—
981C22⋊C8—41no—
982C22⋊C8—41no—
983C22⋊C8—41no—
984C22⋊C8—41no—
985C22⋊C8—41no—
986C22⋊C8—41no—
987C22⋊C8C2×D414yescomplemented
988#97—22no—
989#97—22no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001C24—21no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—41no—
1012C24—41no—
1013C24—41no—
1014C24—41no—
1015C24—41no—
1016C24—41no—
1017C24—41no—
1018C24—41no—
1019C24—41no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24C22×D411yescharacteristic
1035C24C22×D411yescharacteristic
1036C24C22×D411yescharacteristic
1037C24C22×D411yescharacteristic
1038C24C22×D411yescharacteristic
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045#41—82no—
1046#41—82no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—24no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
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—21no—
1095C2×D4—21no—
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—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—416no—
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—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
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×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—816no—
1190C2×D4—816no—
1191C2×D4—816no—
1192C2×D4AGL(1,ℤ/8)14yes—
1193C2×D4C22×D412yes—
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—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—82no—
1271C22×C4—82no—
1272C22×C4—82no—
1273C22×C4—82no—
1274C22×C4—82no—
1275C22×C4—82no—
1276C22×C4—82no—
1277C22×C4—82no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D412yes—
1289C22×C4C22×D411yescharacteristic
1290C22×C4H(5,𝔽2)12yes—
1291C22×C4C2511yescharacteristic
1292SD16—82no—
1293SD16—82no—
1294SD16—82no—
1295SD16—82no—
1296SD16—82no—
1297SD16—82no—
1298D8—82no—
1299D8—82no—
1300D8—82no—
1301D8—82no—
1302D8—82no—
1303D8—82no—
1304M16—82no—
1305M16—82no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—82no—
1329C2×C8—82no—
1330C2×C8C22×D412yes—
1331C2×C8C22×D412yes—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—81no—
1364C4⋊C4C22×D412yes—
1365C4⋊C4C22×D412yes—
1366C4⋊C4C22×D412yes—
1367C4⋊C4H(5,𝔽2)12yes—
1368C4⋊C4H(5,𝔽2)12yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—21no—
1427C42—21no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—81no—
1432C42—81no—
1433C42H(5,𝔽2)12yes—
1434C42H(5,𝔽2)12yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—82no—
1507C23—82no—
1508C23—82no—
1509C23—82no—
1510C23—82no—
1511C23—82no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—82no—
1517C23—82no—
1518C23—82no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23D4212yes—
1530C23C2×AGL(1,ℤ/8)12yes—
1531C23C2×AGL(1,ℤ/8)12yes—
1532C23#57512yes—
1533C23C23×D411yescharacteristic
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541Q8—41no—
1542D4—28no—
1543D4—22no—
1544D4—22no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—48no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—44no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—82no—
1671C2×C4—82no—
1672C2×C4—82no—
1673C2×C4—82no—
1674C2×C4—82no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4#53412yes—
1683C2×C4#53412yes—
1684C2×C4D4212yes—
1685C2×C4C2×AGL(1,ℤ/8)12yes—
1686C2×C4C23×D411yescharacteristic
1687C2×C4C2×H(5,𝔽2)11yescharacteristic
1688C2×C4C2×H(5,𝔽2)11yescharacteristic
1689C2×C4C2×H(5,𝔽2)11yescharacteristic
1690C2×C4C2×H(5,𝔽2)11yescharacteristic
1691C2×C4C2×H(5,𝔽2)11yescharacteristic
1692C8—22no—
1693C8—22no—
1694C8—41no—
1695C8—41no—
1696C8—41no—
1697C8—41no—
1698C8—41no—
1699C8—41no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—88no—
1739C22—88no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—168no—
1773C22—168no—
1774C22C2×#53411yescharacteristic
1775C22C2×D4211yescharacteristic
1776C22#348411yescharacteristic
1777C22C22×AGL(1,ℤ/8)11yescharacteristic
1778C22C2×#57511yescharacteristic
1779C22#358411yescharacteristic
1780C22#358511yescharacteristic
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—81no—
1796C4—81no—
1797C4—81no—
1798C4—81no—
1799C4—81no—
1800C4—81no—
1801C4#349811yescharacteristic
1802C4#349811yescharacteristic
1803C4#354311yescharacteristic
1804C4#354311yescharacteristic
1805C2—42no—
1806C2—42no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—82no—
1811C2—161no—
1812C2—161no—
1813C2—161no—
1814C2—161no—
1815C2#3933611yescharacteristic
1816C2#6075011yescharacteristic
1817C2#6076711yescharacteristic
1818C2#6103011yescharacteristic
1819C2D4×AGL(1,ℤ/8)11yescharacteristic
1820C2#6157911yescharacteristic
1821C2#6159811yescharacteristic
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×#3188C2semidirect
3. D4×#121C2semidirect
4. #34936C2semidirect
5. #33113C2semidirect
6. #30723C2semidirect
7. #30719C2semidirect
8. #30705C2semidirect
9. #30701C2semidirect
10. #30510C2semidirect
11. #30509C2semidirect
12. #30500C2semidirect
13. #30499C2semidirect
14. #29600C2semidirect
15. #29600C2semidirect
16. #28493C2semidirect
17. #28493C2semidirect
18. #26244C2semidirect
19. #26242C2semidirect
20. #25763C2semidirect
21. #25763C2semidirect
22. #25729C2semidirect
23. #25401C2semidirect
24. #25397C2semidirect
25. #24388C2semidirect
26. #24382C2semidirect
27. #24214C2semidirect
28. #23920C2semidirect
29. #23920C2semidirect
30. #22399C2semidirect
31. #21582C2semidirect
34. C2×#532C22semidirect
35. C2×#525C22semidirect
36. C2×#525C22semidirect
37. C2×#525C22semidirect
38. C2×#525C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
46. C2×#484C22semidirect
47. C2×#481C22semidirect
49. C2×#482C22semidirect
50. C2×#482C22semidirect
51. C2×#483C22semidirect
52. C2×#480C22semidirect
53. C2×#469C22semidirect
54. C2×#469C22semidirect
55. C2×#469C22semidirect
56. C2×#468C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
59. C2×#466C22semidirect
60. C2×#466C22semidirect
61. C2×#466C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#465C22semidirect
65. C2×#463C22semidirect
66. C2×#463C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#450C22semidirect
74. C2×#450C22semidirect
75. C2×#450C22semidirect
76. C2×#450C22semidirect
77. C2×#447C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#447C22semidirect
81. C2×#435C22semidirect
82. C2×#435C22semidirect
83. C2×#407C22semidirect
84. C22×C22⋊C8C22semidirect
88. #2542C22semidirect
89. #2542C22semidirect
91. #2541C22semidirect
92. #2541C22semidirect
95. #2540C22semidirect
96. #2540C22semidirect
119. C4×#117C22semidirect
120. #2043C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2013C22semidirect
135. #2013C22semidirect
136. #2013C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1983C22semidirect
162. #1982C22semidirect
163. #1982C22semidirect
164. #1959C22semidirect
165. #1959C22semidirect
168. #1948C22semidirect
169. #1947C22semidirect
170. #1926C22semidirect
171. #1926C22semidirect
172. #1926C22semidirect
173. #1925C22semidirect
174. #1925C22semidirect
175. #1925C22semidirect
176. #1919C22semidirect
177. #1918C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
183. #1875C22semidirect
184. #1875C22semidirect
185. #1874C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1854C22semidirect
194. #1825C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1779C22semidirect
199. #1779C22semidirect
200. #1776C22semidirect
201. #1776C22semidirect
202. #1762C22semidirect
203. #1762C22semidirect
204. #1749C22semidirect
348. #482D4semidirect
826. #117C2×D4semidirect
933. #107C2×D4semidirect
937. #106C2×D4semidirect
970. #102C2×D4semidirect
971. #102C2×D4semidirect
987. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31942
C2×#31882
D4×#1212
#349362
#331132
#307232
#307192
#307052
#307012
#305102
#305092
#305002
#304992
#296002
#284932
#262442
#262422
#257632
#257292
#254012
#253972
#243882
#243822
#242142
#239202
#223992
#215822