Finite Group Databasebeta

← #6533454

Subgroups — #6533454

Order 512.

3635 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3542C211yesmaximal, characteristic, complemented
2C2×#3322C211yesmaximal, characteristic, complemented
3C2×#3268C211yesmaximal, characteristic, complemented
4#37648C211yesmaximal, characteristic, complemented
5#29677C211yesmaximal, characteristic, complemented
6#29607C211yesmaximal, characteristic, complemented
7#29601C211yesmaximal, characteristic, complemented
8#25763C211yesmaximal, characteristic, complemented
9#25611C211yesmaximal, characteristic, complemented
10#25576C211yesmaximal, characteristic, complemented
11#25552C211yesmaximal, characteristic, complemented
12#25533C211yesmaximal, characteristic, complemented
13#24452C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24390C211yesmaximal, characteristic, complemented
16#24385C211yesmaximal, characteristic, complemented
17#24236C211yesmaximal, characteristic, complemented
18#24162C211yesmaximal, characteristic, complemented
19#24137C211yesmaximal, characteristic, complemented
20#23976C211yesmaximal, characteristic, complemented
21#23972C211yesmaximal, characteristic, complemented
22#23924C211yesmaximal, characteristic, complemented
23#23918C211yesmaximal, characteristic, complemented
24#23861C211yesmaximal, characteristic, complemented
25#23850C211yesmaximal, characteristic, complemented
26#23579C211yesmaximal, characteristic, complemented
27#23391C211yesmaximal, characteristic, complemented
28#23390C211yesmaximal, characteristic, complemented
29#22493C211yesmaximal, characteristic, complemented
30#22432C211yesmaximal, characteristic, complemented
31#22400C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic, complemented
34#3542—28no—
35#3542—28no—
36C2×#562—21no—
37C2×#560—21no—
38C2×#555C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#552C2211yescharacteristic, complemented
41C2×#551—21no—
42C2×#550C2211yescharacteristic
43C2×#547C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546C2211yescharacteristic
46C2×#546C2211yescharacteristic, complemented
47C2×#546C2211yescharacteristic, complemented
48C2×D42C2211yescharacteristic, complemented
49C2×#542C2211yescharacteristic, complemented
50C2×#540—21no—
51C2×#540C2211yescharacteristic, complemented
52C2×#538—21no—
53C2×#537C2211yescharacteristic, complemented
54C2×#537C2211yescharacteristic, complemented
55C2×#535—21no—
56C2×#535C2211yescharacteristic, complemented
57C2×#534—21no—
58C2×#525C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic, complemented
62#3322—28no—
63#3268—28no—
64C2×#496C2211yescharacteristic, complemented
65C2×#488C2211yescharacteristic, complemented
66C2×#485C2211yescharacteristic, complemented
67C2×#480C2211yescharacteristic, complemented
68C2×#478C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic
71C2×#468C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic, complemented
73C2×#464C2211yescharacteristic, complemented
74C2×#463C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#417C2211yescharacteristic, complemented
95C2×#418C2211yescharacteristic, complemented
96C2×#408C2211yescharacteristic, complemented
97C2×#407C2211yescharacteristic, complemented
98#2848C2211yescharacteristic, complemented
99#2682—21no—
100#2681—21no—
101#2675—21no—
102#2671—21no—
103#2620C2211yescharacteristic, complemented
104#2615C2211yescharacteristic, complemented
105#2540C2211yescharacteristic
106#2537C2211yescharacteristic
107#2437—21no—
108#2424—21no—
109#2417C2211yescharacteristic, complemented
110#2416C2211yescharacteristic, complemented
111#2410—21no—
112#2408—21no—
113#2408C2211yescharacteristic, complemented
114#2407C2211yescharacteristic, complemented
115D4×C4⋊C4C2211yescharacteristic, complemented
116#2324C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2024C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2001C2211yescharacteristic, complemented
134#2001C2211yescharacteristic, complemented
135#2001C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1992C2211yescharacteristic, complemented
158#1989C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1955C2211yescharacteristic, complemented
162#1954C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1852C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1780C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C24×C4C2311yescharacteristic
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×#135—24no—
223C2×#135—42no—
224C2×#135—42no—
225C22×Q16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C23×C8C2311yescharacteristic
241#562—216no—
242#560—216no—
243#555—24no—
244#555—24no—
245#553—24no—
246#553D418yescomplemented
247#552—24no—
248#552—24no—
249#551—216no—
250#550—24no—
251#550D418yescomplemented
252#547—24no—
253#547—24no—
254#546—216no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546—24no—
259#546—24no—
260#546—24no—
261D42—24no—
262D42—24no—
263#542—24no—
264#542—24no—
265#540—216no—
266#540—24no—
267#540—24no—
268#538—216no—
269#537—24no—
270#537—24no—
271#537—42no—
272#537—42no—
273#535—216no—
274#535—24no—
275#535—24no—
276#534—216no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127—21no—
279C2×#127—21no—
280C2×#127C2311yescharacteristic
281C2×#126—21no—
282C2×#126—21no—
283C2×#126—21no—
284C2×#125—21no—
285C2×#125C2311yescharacteristic
286C2×#124—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292#525—24no—
293#525—24no—
294#525—24no—
295#525—24no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123D411yescharacteristic
308C2×#123D411yescharacteristic
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8D411yescharacteristic
314C2×C22⋊Q8D411yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×#121—21no—
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—24no—
330C2×#121—24no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
345C2×#121—21no—
346C2×#121—42no—
347C2×#121—42no—
348C2×#121D411yescharacteristic
349C2×#121D411yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×#120D411yescharacteristic
376C2×#120D411yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×C4×D4—21no—
382C2×C4×D4—21no—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×#117—21no—
392C2×#117—21no—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C22⋊C4—21no—
401C22×C22⋊C4—21no—
402C22×C22⋊C4—21no—
403C22×C22⋊C4—21no—
404C22×C22⋊C4—21no—
405#496—24no—
406#488—24no—
407#485—24no—
408#480—24no—
409#478—24no—
410#469—24no—
411#468—24no—
412#468—24no—
413#466—24no—
414#464—24no—
415#463—24no—
416#459—24no—
417#452—24no—
418#450—42no—
419#450—42no—
420#449—24no—
421#449—24no—
422#449—24no—
423#447—24no—
424#447—24no—
425#447—42no—
426#447—42no—
427#447—42no—
428#447—42no—
429#440—24no—
430C4×D8—24no—
431#436—24no—
432#435—24no—
433C2×#107C2311yescharacteristic
434C2×#107C2311yescharacteristic
435C2×#107C2311yescharacteristic
436C2×#106C2311yescharacteristic
437C2×C4⋊C8C2311yescharacteristic
438C2×C4⋊C8C2311yescharacteristic
439#418—24no—
440#417—24no—
441#417—42no—
442#417—42no—
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473C2×#102C2311yescharacteristic
474C2×#102C2311yescharacteristic
475#408—42no—
476#407—42no—
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×C22⋊C8C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C22⋊C8C2311yescharacteristic
492C2×C22⋊C8C2311yescharacteristic
493C2×#97C2311yescharacteristic
494C2×C4×C8C2311yescharacteristic
495#399—21no—
496#398—21no—
497#396—21no—
498#396—21no—
499#396—21no—
500#396—21no—
501#394—21no—
502#394—21no—
503#394—21no—
504#394—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#393—21no—
509#392—21no—
510#392—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#392—21no—
515#391C2311yescharacteristic
516#390—21no—
517#390—21no—
518#390—21no—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#389—21no—
522#389C2311yescharacteristic
523#388—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#384C2311yescharacteristic
536#380—21no—
537#380—21no—
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#379—21no—
544#379—21no—
545C4×C4⋊C4C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C25C2×D411yescharacteristic
570C2×#41—28no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—82no—
594C2×#41—82no—
595C2×#41C2×D414yes—
596C2×#41C2×D414yescomplemented
597C22×Q8—21no—
598C22×Q8C2×D411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×D4—21no—
602C22×D4—28no—
603C22×D4—28no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—22no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—21no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4—44no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4—82no—
650C22×D4—82no—
651C22×D4—82no—
652C22×D4C2×D411yescharacteristic
653C22×D4C2×D411yescharacteristic
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C22×D4C2411yescharacteristic
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—41no—
678C23×C4—41no—
679C23×C4—41no—
680C23×C4—41no—
681C23×C4C2×D411yescharacteristic
682C23×C4C2×D411yescharacteristic
683C23×C4C2×D411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689AGL(1,ℤ/8)—416no—
690#135—416no—
691C2×Q16—22no—
692C2×Q16—41no—
693C2×Q16—41no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×M16—22no—
728C2×M16—22no—
729C2×M16—22no—
730C2×M16—22no—
731C2×M16—41no—
732C2×M16—41no—
733C2×M16—41no—
734C2×M16—41no—
735C2×M16—41no—
736C22×C8—22no—
737C22×C8—22no—
738C22×C8—41no—
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C4⋊Q8—22no—
748C4⋊Q8—22no—
749#127—28no—
750#127—28no—
751#127—22no—
752#127C2×D414yescomplemented
753#126—28no—
754#126—28no—
755#126—28no—
756#125—28no—
757#125—22no—
758#125C2×D414yescomplemented
759#124—28no—
760#124—28no—
761#124—28no—
762#124—28no—
763#124—22no—
764#124—22no—
765#124—22no—
766#124—22no—
767#123—28no—
768#123—28no—
769#123—28no—
770#123—28no—
771#123—28no—
772#123—28no—
773#123—28no—
774#123—28no—
775#123—28no—
776#123—24no—
777#123—28no—
778#123—24no—
779#123—44no—
780C22⋊Q8—28no—
781C22⋊Q8—28no—
782C22⋊Q8—28no—
783C22⋊Q8—22no—
784C22⋊Q8—22no—
785C22⋊Q8—22no—
786C22⋊Q8—24no—
787C22⋊Q8—22no—
788C22⋊Q8—22no—
789C22⋊Q8—22no—
790C22⋊Q8—24no—
791C22⋊Q8—22no—
792C22⋊Q8—22no—
793C22⋊Q8—22no—
794C22⋊Q8—44no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—28no—
804#121—28no—
805#121—28no—
806#121—28no—
807#121—28no—
808#121—28no—
809#121—28no—
810#121—28no—
811#121—28no—
812#121—24no—
813#121—22no—
814#121—22no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—22no—
819#121—22no—
820#121—22no—
821#121—22no—
822#121—22no—
823#121—22no—
824#121—22no—
825#121—22no—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—28no—
830#121—28no—
831#121—24no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—44no—
838#121—44no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—41no—
849#121—41no—
850#121—82no—
851#121—82no—
852#121C2×D414yes—
853#121C2×D414yes—
854#121C2×D414yescomplemented
855#121C2×D414yescomplemented
856#120—28no—
857#120—28no—
858#120—28no—
859#120—28no—
860#120—28no—
861#120—28no—
862#120—28no—
863#120—24no—
864#120—24no—
865#120—44no—
866#120—82no—
867C4×Q8—22no—
868C4×Q8C2×D414yescomplemented
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—22no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—28no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—28no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—82no—
887C4×D4C2×D414yes—
888C4×D4C2×D414yes—
889C4×D4C2×D414yescomplemented
890#117—28no—
891#117—28no—
892#117—22no—
893#117—22no—
894#117—22no—
895#117—22no—
896#117—22no—
897#117C2×D414yes—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—22no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—22no—
909C2×C4⋊C4—22no—
910C2×C4⋊C4—22no—
911C2×C4⋊C4—22no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—21no—
921C2×C4⋊C4—41no—
922C2×C4⋊C4—41no—
923C2×C4⋊C4C2×D411yescharacteristic
924C2×C4⋊C4C2×D411yescharacteristic
925C2×C4⋊C4C2×D411yescharacteristic
926C2×C4⋊C4C2×D411yescharacteristic
927C2×C4⋊C4C2×D411yescharacteristic
928C2×C4⋊C4C2×D411yescharacteristic
929C2×C4⋊C4C2×D414yescomplemented
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C22⋊C4—28no—
940C2×C22⋊C4—28no—
941C2×C22⋊C4—28no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
981C2×C22⋊C4—21no—
982C2×C22⋊C4—21no—
983C2×C22⋊C4—21no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4C2×D411yescharacteristic
987C2×C22⋊C4C2×D411yescharacteristic
988C2×C22⋊C4C2×D411yescharacteristic
989C2×C22⋊C4C2×D411yescharacteristic
990C2×C22⋊C4C2×D411yescharacteristic
991C2×C22⋊C4C2×D411yescharacteristic
992C2×C22⋊C4C2×D411yescharacteristic
993C2×C22⋊C4C2×D411yescharacteristic
994C2×C22⋊C4C2×D411yescharacteristic
995C2×C22⋊C4C2×D411yescharacteristic
996C2×C42—21no—
997C2×C42—21no—
998C2×C42—21no—
999C2×C42—21no—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002#107—22no—
1003#107—22no—
1004#107—22no—
1005#106—22no—
1006C4⋊C8—22no—
1007C4⋊C8—22no—
1008#103—22no—
1009#103—22no—
1010#103—22no—
1011#103—22no—
1012#103—22no—
1013#103—22no—
1014#103—41no—
1015#103—41no—
1016#103—41no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—41no—
1033#102—41no—
1034#102—41no—
1035#102—41no—
1036#102—41no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040C22⋊C8—22no—
1041C22⋊C8—22no—
1042C22⋊C8—22no—
1043C22⋊C8—22no—
1044C22⋊C8—22no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—41no—
1048C22⋊C8—41no—
1049C22⋊C8—41no—
1050C22⋊C8—41no—
1051C22⋊C8—41no—
1052C22⋊C8—41no—
1053C22⋊C8—41no—
1054C22⋊C8—41no—
1055C22⋊C8—41no—
1056#97—22no—
1057C4×C8—22no—
1058#95—21no—
1059#95—21no—
1060#95—21no—
1061#95—21no—
1062#95—21no—
1063#95—21no—
1064#95—21no—
1065#95—21no—
1066#95—21no—
1067C24—24no—
1068C24—24no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—22no—
1074C24—22no—
1075C24—21no—
1076C24—41no—
1077C24—41no—
1078C24—41no—
1079C24—41no—
1080C24—41no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24C22×D411yescharacteristic
1101C24C22×D411yescharacteristic
1102C24C22×D411yescharacteristic
1103C24C22×D411yescharacteristic
1104C24C22×D411yescharacteristic
1105#41—44no—
1106#41—44no—
1107#41—44no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118#41—82no—
1119#41—82no—
1120#41—82no—
1121#41—816no—
1122C2×Q8—24no—
1123C2×Q8—22no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—81no—
1138C2×Q8—81no—
1139C2×Q8C22×D412yes—
1140C2×D4—24no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—816no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—816no—
1272C2×D4—816no—
1273C2×D4#12014yes—
1274C2×D4C22×D412yes—
1275C2×D4C22×D412yes—
1276C2×D4C22×D412yes—
1277C2×D4H(5,𝔽2)12yes—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—24no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
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—82no—
1340C22×C4—82no—
1341C22×C4—82no—
1342C22×C4—82no—
1343C22×C4—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4—81no—
1347C22×C4—81no—
1348C22×C4—81no—
1349C22×C4—81no—
1350C22×C4—81no—
1351C22×C4—81no—
1352C22×C4—81no—
1353C22×C4—81no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4—81no—
1360C22×C4—81no—
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D411yescharacteristic
1369C22×C4C22×D411yescharacteristic
1370C22×C4C22×D412yes—
1371C22×C4C22×D412yes—
1372C22×C4C22×D412yes—
1373C22×C4C22×D412yes—
1374C22×C4C2511yescharacteristic
1375Q16—44no—
1376SD16—28no—
1377SD16—44no—
1378SD16—44no—
1379SD16—82no—
1380SD16—82no—
1381D8—44no—
1382D8—44no—
1383D8—44no—
1384D8—44no—
1385D8—82no—
1386D8—82no—
1387M16—44no—
1388M16—82no—
1389M16—82no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—44no—
1414C2×C8H(5,𝔽2)12yes—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—81no—
1448C4⋊C4—81no—
1449C4⋊C4—81no—
1450C4⋊C4—81no—
1451C4⋊C4#12014yes—
1452C4⋊C4C22×D412yes—
1453C4⋊C4C22×D412yes—
1454C4⋊C4C22×D412yes—
1455C4⋊C4C22×D412yes—
1456C4⋊C4H(5,𝔽2)12yes—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4—81no—
1501C22⋊C4—81no—
1502C22⋊C4—81no—
1503C22⋊C4—81no—
1504C22⋊C4—81no—
1505C22⋊C4—81no—
1506C22⋊C4—81no—
1507C22⋊C4#12014yes—
1508C22⋊C4#12014yes—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—21no—
1513C42—21no—
1514C42—81no—
1515C42C22×D412yes—
1516C42C22×D412yes—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—44no—
1554C23—44no—
1555C23—48no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23—84no—
1591C23—84no—
1592C23—82no—
1593C23—82no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—162no—
1602C23—162no—
1603C23—162no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23C2×#12012yes—
1613C23C2×#12012yes—
1614C23#57612yes—
1615C23C23×D411yescharacteristic
1616Q8—22no—
1617Q8—22no—
1618Q8—41no—
1619Q8—41no—
1620Q8—41no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—82no—
1625Q8—84no—
1626D4—22no—
1627D4—22no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—44no—
1635D4—44no—
1636D4—44no—
1637D4—48no—
1638D4—41no—
1639D4—41no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—82no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—82no—
1655D4—82no—
1656D4—82no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—162no—
1675D4—162no—
1676D4—162no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—48no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—82no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—82no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—162no—
1766C2×C4—162no—
1767C2×C4C2×#12012yes—
1768C2×C4C2×#12012yes—
1769C2×C4C2×#12012yes—
1770C2×C4C2×#12012yes—
1771C2×C4C23×D411yescharacteristic
1772C2×C4C23×D411yescharacteristic
1773C2×C4C2×H(5,𝔽2)11yescharacteristic
1774C2×C4C2×H(5,𝔽2)11yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C2×C4#58511yescharacteristic
1777C8—22no—
1778C8—41no—
1779C8—41no—
1780C8—41no—
1781C8—41no—
1782C8—41no—
1783C8—41no—
1784C8—41no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—88no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—168no—
1857C22—168no—
1858C22—168no—
1859C22C22×#12011yescharacteristic
1860C22#348411yescharacteristic
1861C22#349611yescharacteristic
1862C22C2×#57611yescharacteristic
1863C22#358511yescharacteristic
1864C22#358511yescharacteristic
1865C22#358611yescharacteristic
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—41no—
1876C4—42no—
1877C4—41no—
1878C4—42no—
1879C4—42no—
1880C4—42no—
1881C4—81no—
1882C4—81no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4#348411yescharacteristic
1887C4#348811yescharacteristic
1888C4#349611yescharacteristic
1889C4#349811yescharacteristic
1890C2—42no—
1891C2—42no—
1892C2—42no—
1893C2—81no—
1894C2—81no—
1895C2—82no—
1896C2—82no—
1897C2—82no—
1898C2—82no—
1899C2—161no—
1900C2#3568011yescharacteristic
1901C2#6037111yescharacteristic
1902C2#6037211yescharacteristic
1903C2#6160911yescharacteristic
1904C2#6165611yescharacteristic
1905C2#6228311yescharacteristic
1906C2#6231111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3542C2semidirect
2. C2×#3322C2semidirect
3. C2×#3268C2semidirect
4. #37648C2semidirect
5. #29677C2semidirect
6. #29607C2semidirect
7. #29601C2semidirect
8. #25763C2semidirect
9. #25611C2semidirect
10. #25576C2semidirect
11. #25552C2semidirect
12. #25533C2semidirect
13. #24452C2semidirect
14. #24444C2semidirect
15. #24390C2semidirect
16. #24385C2semidirect
17. #24236C2semidirect
18. #24162C2semidirect
19. #24137C2semidirect
20. #23976C2semidirect
21. #23972C2semidirect
22. #23924C2semidirect
23. #23918C2semidirect
24. #23861C2semidirect
25. #23850C2semidirect
26. #23579C2semidirect
27. #23391C2semidirect
28. #23390C2semidirect
29. #22493C2semidirect
30. #22432C2semidirect
31. #22400C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#135C22semidirect
40. C2×#552C22semidirect
43. C2×#547C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
48. C2×D42C22semidirect
49. C2×#542C22semidirect
51. C2×#540C22semidirect
53. C2×#537C22semidirect
54. C2×#537C22semidirect
56. C2×#535C22semidirect
61. C22×#121C22semidirect
64. C2×#496C22semidirect
65. C2×#488C22semidirect
66. C2×#485C22semidirect
67. C2×#480C22semidirect
68. C2×#478C22semidirect
69. C2×#469C22semidirect
71. C2×#468C22semidirect
72. C2×#466C22semidirect
73. C2×#464C22semidirect
74. C2×#463C22semidirect
75. C2×#459C22semidirect
76. C2×#452C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#440C22semidirect
89. C2×C4×D8C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#417C22semidirect
93. C2×#417C22semidirect
94. C2×#417C22semidirect
95. C2×#418C22semidirect
96. C2×#408C22semidirect
97. C2×#407C22semidirect
98. #2848C22semidirect
103. #2620C22semidirect
104. #2615C22semidirect
109. #2417C22semidirect
110. #2416C22semidirect
113. #2408C22semidirect
114. #2407C22semidirect
115. D4×C4⋊C4C22semidirect
116. #2324C22semidirect
117. #2057C22semidirect
118. #2042C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2035C22semidirect
122. #2034C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2024C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
130. #2015C22semidirect
131. #2012C22semidirect
132. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
135. #2001C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1992C22semidirect
158. #1989C22semidirect
159. #1982C22semidirect
160. #1957C22semidirect
161. #1955C22semidirect
162. #1954C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1893C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1873C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1852C22semidirect
191. #1825C22semidirect
192. #1824C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. C4×#103C22semidirect
204. #1750C22semidirect
205. #1736C22semidirect
206. C2×#340C22semidirect
246. #553D4semidirect
251. #550D4semidirect
596. C2×#41C2×D4semidirect
752. #127C2×D4semidirect
758. #125C2×D4semidirect
854. #121C2×D4semidirect
855. #121C2×D4semidirect
868. C4×Q8C2×D4semidirect
889. C4×D4C2×D4semidirect
929. C2×C4⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35422
C2×#33222
C2×#32682
#376482
#296772
#296072
#296012
#257632
#256112
#255762
#255522
#255332
#244522
#244442
#243902
#243852
#242362
#241622
#241372
#239762
#239722
#239242
#239182
#238612
#238502
#235792
#233912
#233902
#224932
#224322
#224002