Finite Group Databasebeta

← #6542513

Subgroups — #6542513

Order 512.

4356 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3496C211yesmaximal, characteristic, complemented
2C2×#3345C211yesmaximal, characteristic, complemented
3C2×#3318C211yesmaximal, characteristic, complemented
4#36157C211yesmaximal, characteristic, complemented
5#29694C211yesmaximal, characteristic, complemented
6#29594C211yesmaximal, characteristic, complemented
7#29592C211yesmaximal, characteristic, complemented
8#25891C211yesmaximal, characteristic, complemented
9#25709C211yesmaximal, characteristic, complemented
10#25676C211yesmaximal, characteristic, complemented
11#25549C211yesmaximal, characteristic, complemented
12#25533C211yesmaximal, characteristic, complemented
13#24440C211yesmaximal, characteristic, complemented
14#24424C211yesmaximal, characteristic, complemented
15#24384C211yesmaximal, characteristic, complemented
16#24378C211yesmaximal, characteristic, complemented
17#24248C211yesmaximal, characteristic, complemented
18#24152C211yesmaximal, characteristic, complemented
19#24128C211yesmaximal, characteristic, complemented
20#24100C211yesmaximal, characteristic, complemented
21#24089C211yesmaximal, characteristic, complemented
22#24044C211yesmaximal, characteristic, complemented
23#24033C211yesmaximal, characteristic, complemented
24#24009C211yesmaximal, characteristic, complemented
25#24005C211yesmaximal, characteristic, complemented
26#23573C211yesmaximal, characteristic, complemented
27#23480C211yesmaximal, characteristic, complemented
28C2×#2034C211yesmaximal, characteristic, complemented
29#22495C211yesmaximal, characteristic, complemented
30#22423C211yesmaximal, characteristic, complemented
31#22399C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)—21no—
33#3496—28no—
34#3496—28no—
35C2×#553C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#546—21no—
41C2×#546—21no—
42C2×#546—21no—
43C2×#546—21no—
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×D42C2211yescharacteristic
48C2×#537—21no—
49C2×#534—21no—
50C2×#534—21no—
51C2×#532C2211yescharacteristic
52C2×#532C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic
58#3345—28no—
59#3318—28no—
60C2×#501C2211yescharacteristic, complemented
61C2×#490C2211yescharacteristic, complemented
62C2×#481C2211yescharacteristic, complemented
63C2×#481C2211yescharacteristic, complemented
64C2×#481C2211yescharacteristic, complemented
65C2×#482C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#480C2211yescharacteristic, complemented
68C2×#478C2211yescharacteristic, complemented
69C2×#478C2211yescharacteristic, complemented
70C2×#476C2211yescharacteristic, complemented
71C2×#469C2211yescharacteristic, complemented
72C2×#469C2211yescharacteristic, complemented
73C2×#466C2211yescharacteristic, complemented
74C2×#466C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#447C2211yescharacteristic, complemented
77C2×#447C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic, complemented
79C2×#447C2211yescharacteristic, complemented
80C2×#442C2211yescharacteristic, complemented
81C2×#442C2211yescharacteristic, complemented
82C2×#435C2211yescharacteristic, complemented
83C2×#435C2211yescharacteristic, complemented
84C2×#428C2211yescharacteristic, complemented
85C22×#106C2211yescharacteristic, complemented
86C2×#418C2211yescharacteristic, complemented
87C2×#418C2211yescharacteristic, complemented
88C22×#102C2211yescharacteristic, complemented
89C22×#102C2211yescharacteristic, complemented
90C2×#407C2211yescharacteristic, complemented
91C22×C22⋊C8C2211yescharacteristic, complemented
92#2851C2211yescharacteristic, complemented
93#2847C2211yescharacteristic, complemented
94#2847C2211yescharacteristic, complemented
95#2562C2211yescharacteristic, complemented
96#2535C2211yescharacteristic, complemented
97#2487C2211yescharacteristic, complemented
98#2485C2211yescharacteristic, complemented
99#2481—21no—
100#2467—21no—
101#2457—21no—
102#2444—21no—
103#2418—21no—
104#2416C2211yescharacteristic, complemented
105#2414C2211yescharacteristic, complemented
106#2410—21no—
107#2364—21no—
108#2358—21no—
109#2352C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic, complemented
111#2280C2211yescharacteristic, complemented
112C2×#380C2211yescharacteristic, complemented
113#2058C2211yescharacteristic, complemented
114#2058C2211yescharacteristic, complemented
115#2057C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2041C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2023C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1993C2211yescharacteristic, complemented
154#1987C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1961C2211yescharacteristic, complemented
157#1955C2211yescharacteristic, complemented
158#1955C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1875C2211yescharacteristic, complemented
166#1875C2211yescharacteristic, complemented
167#1874C2211yescharacteristic, complemented
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1874C2211yescharacteristic, complemented
171#1870C2211yescharacteristic, complemented
172#1870C2211yescharacteristic, complemented
173#1869C2211yescharacteristic, complemented
174#1869C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1864C2211yescharacteristic, complemented
177#1864C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1824C2211yescharacteristic, complemented
188#1823C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1797C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—216no—
208C2×H(5,𝔽2)—48no—
209C2×H(5,𝔽2)—48no—
210C22×#41—21no—
211C22×#41—21no—
212C22×#41—21no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C23×D4—21no—
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4D411yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#553—24no—
240#553—24no—
241#547—24no—
242#547—24no—
243#547—24no—
244#547—24no—
245#547—24no—
246#547—24no—
247#547—24no—
248#547D418yescomplemented
249#546—216no—
250#546—216no—
251#546—216no—
252#546—216no—
253D42—24no—
254D42—24no—
255D42—24no—
256D42—24no—
257D42—24no—
258D42—24no—
259D42—24no—
260D42D418yescomplemented
261#537—216no—
262#534—216no—
263#534—216no—
264#532—24no—
265#532—24no—
266#532—24no—
267#532—24no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#126—21no—
273C2×#125C2311yescharacteristic
274C2×#124—21no—
275C2×#124—21no—
276C2×#123—21no—
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8—21no—
289C2×#121—24no—
290C2×#121—24no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—24no—
302C2×#121—24no—
303C2×#121—24no—
304C2×#121—24no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—24no—
308C2×#121—24no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120—21no—
340C2×C4×D4—24no—
341C2×C4×D4—24no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4D411yescharacteristic
347C2×C4×D4D411yescharacteristic
348C2×C4×D4D411yescharacteristic
349C2×C4×D4D411yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C22×C4⋊C4D411yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C22⋊C4—21no—
369C22×C22⋊C4—21no—
370C22×C22⋊C4—21no—
371C22×C22⋊C4—21no—
372C22×C22⋊C4—21no—
373C22×C22⋊C4D411yescharacteristic
374C22×C22⋊C4D411yescharacteristic
375C22×C42C2311yescharacteristic
376#501—24no—
377#490—24no—
378#482—24no—
379#482—24no—
380#481—24no—
381#481—24no—
382#481—24no—
383#480—24no—
384#478—24no—
385#478—24no—
386#476—24no—
387#469—24no—
388#469—24no—
389#466—24no—
390#466—24no—
391#459—24no—
392#447—24no—
393#447—24no—
394#447—42no—
395#447—42no—
396#442—24no—
397#442—24no—
398#435—24no—
399#435—24no—
400#428—24no—
401C2×#107C2311yescharacteristic
402C2×#107C2311yescharacteristic
403C2×#107C2311yescharacteristic
404C2×#107C2311yescharacteristic
405C2×#106—24no—
406C2×#106C2311yescharacteristic
407C2×#106C2311yescharacteristic
408C2×#106C2311yescharacteristic
409C2×#106C2311yescharacteristic
410C2×#106C2311yescharacteristic
411C2×#106C2311yescharacteristic
412C2×#106C2311yescharacteristic
413C2×#106C2311yescharacteristic
414C2×C4⋊C8C2311yescharacteristic
415C2×C4⋊C8C2311yescharacteristic
416#418—24no—
417#418—42no—
418C2×#102—24no—
419C2×#102—42no—
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452#407—42no—
453C2×C22⋊C8—42no—
454C2×C22⋊C8C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×#97C2311yescharacteristic
471C2×#97C2311yescharacteristic
472#400—21no—
473#400—21no—
474#399—21no—
475#397—21no—
476#397—21no—
477#396—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#392—21no—
483#392—21no—
484#390—21no—
485#390C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#388—21no—
490#388—21no—
491#388—21no—
492#388—21no—
493#388—21no—
494#388—21no—
495#387—21no—
496#387—21no—
497#387—21no—
498#387—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#385—21no—
512#385—21no—
513#385—21no—
514#382C2311yescharacteristic
515#381—21no—
516#380—21no—
517#380—21no—
518#380C2311yescharacteristic
519#380C2311yescharacteristic
520#380C2311yescharacteristic
521#380C2311yescharacteristic
522#380C2311yescharacteristic
523#380C2311yescharacteristic
524#380C2311yescharacteristic
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#379—21no—
530C4×C4⋊C4C2311yescharacteristic
531C4×C22⋊C4—21no—
532C4×C22⋊C4—21no—
533C4×C22⋊C4—21no—
534C4×C22⋊C4—21no—
535C2×#95—21no—
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556C25—21no—
557C25—21no—
558C25—21no—
559C25—21no—
560C25C2×D411yescharacteristic
561C25C2×D411yescharacteristic
562H(5,𝔽2)—4128no—
563C2×#41—28no—
564C2×#41—28no—
565C2×#41—28no—
566C2×#41—28no—
567C2×#41—28no—
568C2×#41—28no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—44no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41—44no—
580C2×#41—44no—
581C22×Q8—21no—
582C22×Q8—21no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—28no—
587C22×D4—28no—
588C22×D4—28no—
589C22×D4—28no—
590C22×D4—28no—
591C22×D4—28no—
592C22×D4—28no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—28no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—22no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4—44no—
646C22×D4—44no—
647C22×D4—44no—
648C22×D4—44no—
649C22×D4—44no—
650C22×D4—44no—
651C22×D4—44no—
652C22×D4—44no—
653C22×D4—44no—
654C22×D4—44no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C22×D4C2×D411yescharacteristic
660C22×D4C2×D411yescharacteristic
661C22×D4C2×D414yes—
662C22×D4C2×D414yes—
663C22×D4C2411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C23×C4—21no—
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—22no—
677C23×C4—22no—
678C23×C4—22no—
679C23×C4—22no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—41no—
688C23×C4—41no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4C2×D411yescharacteristic
692C23×C4C2×D411yescharacteristic
693C23×C4C2×D411yescharacteristic
694C23×C4C2×D411yescharacteristic
695C23×C4C2×D411yescharacteristic
696C23×C4C2×D411yescharacteristic
697C23×C4C2×D411yescharacteristic
698C23×C4C2×D411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—41no—
720C2×M16—41no—
721C2×M16—41no—
722C22×C8—22no—
723C22×C8—22no—
724C22×C8—22no—
725C22×C8—41no—
726C22×C8—41no—
727C22×C8—41no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C4⋊Q8—22no—
737C4⋊Q8—22no—
738C4⋊Q8—22no—
739C4⋊Q8C2×D414yes—
740#127—22no—
741#127—22no—
742#127—22no—
743#127C2×D414yes—
744#126—44no—
745#125—22no—
746#125—22no—
747#124—28no—
748#124—28no—
749#123—28no—
750#123—28no—
751#123—28no—
752#123—28no—
753#123—28no—
754#123—28no—
755#123—28no—
756#123—28no—
757#123—44no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762#121—28no—
763#121—28no—
764#121—28no—
765#121—28no—
766#121—28no—
767#121—28no—
768#121—28no—
769#121—28no—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—28no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—22no—
794#121—22no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—41no—
801#121—41no—
802#121—44no—
803#121—44no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121C2×D414yes—
809#121C2×D414yes—
810#121C2×D414yes—
811#121C2×D414yes—
812#120—28no—
813#120—28no—
814#120—28no—
815#120—28no—
816#120—28no—
817#120—28no—
818#120—28no—
819#120—28no—
820#120—44no—
821#120—82no—
822C4×D4—28no—
823C4×D4—28no—
824C4×D4—24no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—24no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4—22no—
841C4×D4—22no—
842C4×D4—44no—
843C4×D4—82no—
844C4×D4C2×D414yes—
845C4×D4C2×D414yes—
846C4×D4C2×D414yes—
847C4×D4C2×D414yes—
848#117—22no—
849#117—22no—
850#117—41no—
851#117—41no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—22no—
857C2×C4⋊C4—22no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—24no—
861C2×C4⋊C4—22no—
862C2×C4⋊C4—22no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—41no—
875C2×C4⋊C4—41no—
876C2×C4⋊C4C2×D411yescharacteristic
877C2×C4⋊C4C2×D411yescharacteristic
878C2×C4⋊C4C2×D411yescharacteristic
879C2×C4⋊C4C2×D414yes—
880C2×C4⋊C4C2×D414yes—
881C2×C4⋊C4C2×D411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C22⋊C4—28no—
894C2×C22⋊C4—28no—
895C2×C22⋊C4—28no—
896C2×C22⋊C4—28no—
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—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—24no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—82no—
937C2×C22⋊C4C2×D411yescharacteristic
938C2×C22⋊C4C2×D411yescharacteristic
939C2×C22⋊C4C2×D411yescharacteristic
940C2×C22⋊C4C2×D411yescharacteristic
941C2×C22⋊C4C2×D411yescharacteristic
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C42—22no—
946C2×C42—22no—
947C2×C42—21no—
948C2×C42—21no—
949C2×C42—21no—
950C2×C42C2×D411yescharacteristic
951C2×C42C2×D411yescharacteristic
952C2×C42C2411yescharacteristic
953C2×C42C2411yescharacteristic
954#107—22no—
955#107—22no—
956#107—22no—
957#107—22no—
958#106—22no—
959#106—22no—
960#106—22no—
961#106—22no—
962#106—22no—
963#106—22no—
964#106—22no—
965#106—22no—
966C4⋊C8—22no—
967C4⋊C8—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—22no—
977#102—22no—
978#102—22no—
979#102—22no—
980#102—22no—
981#102—22no—
982#102—22no—
983#102—22no—
984#102—22no—
985#102—22no—
986#102—22no—
987#102—41no—
988#102—41no—
989#102—41no—
990#102—41no—
991#102—41no—
992#102—41no—
993#102—41no—
994#102—41no—
995#102—41no—
996#102—41no—
997#102—41no—
998#102—41no—
999#102—41no—
1000C22⋊C8—22no—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—41no—
1008C22⋊C8—41no—
1009C22⋊C8—41no—
1010C22⋊C8—41no—
1011C22⋊C8—41no—
1012C22⋊C8—41no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016#97—22no—
1017#97—22no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—24no—
1041C24—24no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—24no—
1047C24—24no—
1048C24—21no—
1049C24—41no—
1050C24—41no—
1051C24—41no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24AGL(1,ℤ/8)14yes—
1082C24C22×D411yescharacteristic
1083C24C22×D411yescharacteristic
1084C24C22×D411yescharacteristic
1085C24C22×D411yescharacteristic
1086C24C22×D411yescharacteristic
1087#41—432no—
1088#41—432no—
1089#41—432no—
1090#41—432no—
1091#41—432no—
1092#41—432no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×D4—232no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—22no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—432no—
1164C2×D4—432no—
1165C2×D4—432no—
1166C2×D4—432no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—432no—
1180C2×D4—432no—
1181C2×D4—432no—
1182C2×D4—432no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—82no—
1206C2×D4—82no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4#12014yes—
1236C2×D4AGL(1,ℤ/8)14yes—
1237C2×D4C22×D412yes—
1238C2×D4C22×D412yes—
1239C2×D4C22×D412yes—
1240C2×D4C22×D412yes—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—82no—
1330C22×C4—82no—
1331C22×C4—82no—
1332C22×C4—82no—
1333C22×C4—82no—
1334C22×C4—82no—
1335C22×C4—82no—
1336C22×C4—82no—
1337C22×C4—81no—
1338C22×C4—81no—
1339C22×C4—81no—
1340C22×C4—81no—
1341C22×C4—81no—
1342C22×C4—81no—
1343C22×C4C22×D411yescharacteristic
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D411yescharacteristic
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D412yes—
1352C22×C4C22×D412yes—
1353C22×C4C22×D412yes—
1354C22×C4C22×D412yes—
1355C22×C4C22×D411yescharacteristic
1356C22×C4C2511yescharacteristic
1357D8—44no—
1358D8—44no—
1359D8—82no—
1360D8—82no—
1361M16—44no—
1362M16—82no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—44no—
1387C2×C8—82no—
1388C2×C8H(5,𝔽2)12yescomplemented
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—81no—
1421C4⋊C4—81no—
1422C4⋊C4—81no—
1423C4⋊C4#12014yes—
1424C4⋊C4C22×D412yes—
1425C4⋊C4C22×D412yes—
1426C4⋊C4C22×D412yes—
1427C4⋊C4C22×D412yes—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C22⋊C4—81no—
1467C22⋊C4—81no—
1468C22⋊C4—81no—
1469C22⋊C4—81no—
1470C22⋊C4—81no—
1471C22⋊C4#12014yes—
1472C22⋊C4#12014yes—
1473C42—22no—
1474C42—22no—
1475C42—21no—
1476C42—21no—
1477C42—42no—
1478C42—81no—
1479C42—81no—
1480C42C22×D412yes—
1481C42C22×D412yes—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—28no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—44no—
1517C23—44no—
1518C23—48no—
1519C23—48no—
1520C23—48no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—48no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—162no—
1572C23—162no—
1573C23—162no—
1574C23—162no—
1575C23—162no—
1576C23—162no—
1577C23—162no—
1578C23—162no—
1579C23—162no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23—162no—
1584C23—162no—
1585C23—162no—
1586C23—162no—
1587C23C2×#12012yes—
1588C23C2×#12012yes—
1589C23C2×AGL(1,ℤ/8)12yes—
1590C23C2×AGL(1,ℤ/8)12yes—
1591C23C2×AGL(1,ℤ/8)12yes—
1592C23C2×AGL(1,ℤ/8)12yes—
1593C23C2×AGL(1,ℤ/8)12yes—
1594C23C23×D411yescharacteristic
1595Q8—48no—
1596Q8—48no—
1597D4—28no—
1598D4—28no—
1599D4—28no—
1600D4—28no—
1601D4—22no—
1602D4—22no—
1603D4—22no—
1604D4—22no—
1605D4—22no—
1606D4—22no—
1607D4—22no—
1608D4—22no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—48no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—162no—
1644D4—162no—
1645D4—162no—
1646C2×C4—28no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
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—82no—
1731C2×C4—82no—
1732C2×C4—82no—
1733C2×C4—82no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—82no—
1737C2×C4—162no—
1738C2×C4—162no—
1739C2×C4—162no—
1740C2×C4C2×#12012yes—
1741C2×C4C2×#12012yes—
1742C2×C4C2×#12012yes—
1743C2×C4C2×#12012yes—
1744C2×C4C2×AGL(1,ℤ/8)12yes—
1745C2×C4C23×D411yescharacteristic
1746C2×C4C23×D411yescharacteristic
1747C2×C4C2×H(5,𝔽2)11yescharacteristic
1748C2×C4#58511yescharacteristic
1749C2×C4#58511yescharacteristic
1750C2×C4#58511yescharacteristic
1751C8—22no—
1752C8—41no—
1753C8—41no—
1754C8—41no—
1755C8—41no—
1756C8—41no—
1757C8—41no—
1758C8—41no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—88no—
1806C22—88no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—81no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—168no—
1831C22—168no—
1832C22—168no—
1833C22—168no—
1834C22#300314yes—
1835C22C22×#12011yescharacteristic
1836C22#348511yescharacteristic
1837C22#349611yescharacteristic
1838C22C22×AGL(1,ℤ/8)11yescharacteristic
1839C22C22×AGL(1,ℤ/8)11yescharacteristic
1840C22#358411yescharacteristic
1841C22#358511yescharacteristic
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—41no—
1855C4—81no—
1856C4—81no—
1857C4—81no—
1858C4—81no—
1859C4—81no—
1860C4—81no—
1861C4—81no—
1862C4#348511yescharacteristic
1863C4#348811yescharacteristic
1864C4#349611yescharacteristic
1865C4#350011yescharacteristic
1866C2—24no—
1867C2—42no—
1868C2—42no—
1869C2—42no—
1870C2—42no—
1871C2—82no—
1872C2—82no—
1873C2—82no—
1874C2—82no—
1875C2—161no—
1876C2#3575011yescharacteristic
1877C2C2×#300311yescharacteristic
1878C2#6037611yescharacteristic
1879C2#6170711yescharacteristic
1880C2#6173311yescharacteristic
1881C2#6225311yescharacteristic
1882C2#6229911yescharacteristic
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×#3496C2semidirect
2. C2×#3345C2semidirect
3. C2×#3318C2semidirect
4. #36157C2semidirect
5. #29694C2semidirect
6. #29594C2semidirect
7. #29592C2semidirect
8. #25891C2semidirect
9. #25709C2semidirect
10. #25676C2semidirect
11. #25549C2semidirect
12. #25533C2semidirect
13. #24440C2semidirect
14. #24424C2semidirect
15. #24384C2semidirect
16. #24378C2semidirect
17. #24248C2semidirect
18. #24152C2semidirect
19. #24128C2semidirect
20. #24100C2semidirect
21. #24089C2semidirect
22. #24044C2semidirect
23. #24033C2semidirect
24. #24009C2semidirect
25. #24005C2semidirect
26. #23573C2semidirect
27. #23480C2semidirect
28. C2×#2034C2semidirect
29. #22495C2semidirect
30. #22423C2semidirect
31. #22399C2semidirect
35. C2×#553C22semidirect
60. C2×#501C22semidirect
61. C2×#490C22semidirect
62. C2×#481C22semidirect
63. C2×#481C22semidirect
64. C2×#481C22semidirect
65. C2×#482C22semidirect
66. C2×#482C22semidirect
67. C2×#480C22semidirect
68. C2×#478C22semidirect
69. C2×#478C22semidirect
70. C2×#476C22semidirect
71. C2×#469C22semidirect
72. C2×#469C22semidirect
73. C2×#466C22semidirect
74. C2×#466C22semidirect
75. C2×#459C22semidirect
76. C2×#447C22semidirect
77. C2×#447C22semidirect
78. C2×#447C22semidirect
79. C2×#447C22semidirect
80. C2×#442C22semidirect
81. C2×#442C22semidirect
82. C2×#435C22semidirect
83. C2×#435C22semidirect
84. C2×#428C22semidirect
85. C22×#106C22semidirect
86. C2×#418C22semidirect
87. C2×#418C22semidirect
88. C22×#102C22semidirect
89. C22×#102C22semidirect
90. C2×#407C22semidirect
91. C22×C22⋊C8C22semidirect
92. #2851C22semidirect
93. #2847C22semidirect
94. #2847C22semidirect
95. #2562C22semidirect
96. #2535C22semidirect
97. #2487C22semidirect
98. #2485C22semidirect
104. #2416C22semidirect
105. #2414C22semidirect
109. #2352C22semidirect
110. C4×#121C22semidirect
111. #2280C22semidirect
112. C2×#380C22semidirect
113. #2058C22semidirect
114. #2058C22semidirect
115. #2057C22semidirect
116. #2041C22semidirect
117. #2041C22semidirect
118. #2041C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2023C22semidirect
144. #2011C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1993C22semidirect
154. #1987C22semidirect
155. #1982C22semidirect
156. #1961C22semidirect
157. #1955C22semidirect
158. #1955C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1875C22semidirect
166. #1875C22semidirect
167. #1874C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
170. #1874C22semidirect
171. #1870C22semidirect
172. #1870C22semidirect
173. #1869C22semidirect
174. #1869C22semidirect
175. #1864C22semidirect
176. #1864C22semidirect
177. #1864C22semidirect
178. #1864C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1852C22semidirect
187. #1824C22semidirect
188. #1823C22semidirect
189. #1804C22semidirect
190. #1804C22semidirect
191. #1797C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. #1762C22semidirect
204. #1749C22semidirect
205. #1736C22semidirect
206. C2×#340C22semidirect
248. #547D4semidirect
260. D42D4semidirect
1388. C2×C8H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×#34962
C2×#33452
C2×#33182
#361572
#296942
#295942
#295922
#258912
#257092
#256762
#255492
#255332
#244402
#244242
#243842
#243782
#242482
#241522
#241282
#241002
#240892
#240442
#240332
#240092
#240052
#235732
#234802
C2×#20342
#224952
#224232
#223992