Finite Group Databasebeta

← #6542673

Subgroups — #6542673

Order 512.

3434 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3549C211yesmaximal, characteristic, complemented
2C2×#3347C211yesmaximal, characteristic, complemented
3C2×#3318C211yesmaximal, characteristic, complemented
4#39462C211yesmaximal, characteristic, complemented
5#29694C211yesmaximal, characteristic, complemented
6#29602C211yesmaximal, characteristic, complemented
7#29602C211yesmaximal, characteristic, complemented
8#25891C211yesmaximal, characteristic, complemented
9#25710C211yesmaximal, characteristic, complemented
10#25676C211yesmaximal, characteristic, complemented
11#25554C211yesmaximal, characteristic, complemented
12#25538C211yesmaximal, characteristic, complemented
13#24440C211yesmaximal, characteristic, complemented
14#24424C211yesmaximal, characteristic, complemented
15#24390C211yesmaximal, characteristic, complemented
16#24390C211yesmaximal, characteristic, complemented
17#24248C211yesmaximal, characteristic, complemented
18#24150C211yesmaximal, characteristic, complemented
19#24129C211yesmaximal, characteristic, complemented
20#24104C211yesmaximal, characteristic, complemented
21#24093C211yesmaximal, characteristic, complemented
22#24044C211yesmaximal, characteristic, complemented
23#24032C211yesmaximal, characteristic, complemented
24#24015C211yesmaximal, characteristic, complemented
25#24013C211yesmaximal, characteristic, complemented
26#23573C211yesmaximal, characteristic, complemented
27#23486C211yesmaximal, characteristic, complemented
28#23483C211yesmaximal, characteristic, complemented
29#22492C211yesmaximal, characteristic, complemented
30#22423C211yesmaximal, characteristic, complemented
31#22403C211yesmaximal, characteristic, complemented
32#3549—28no—
33#3549—28no—
34C2×H(3,𝔽4)—21no—
35C2×H(3,𝔽4)—21no—
36C2×#555—21no—
37C2×#555C2211yescharacteristic
38C2×#555C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#553C2211yescharacteristic, complemented
42C2×D42—21no—
43C2×D42C2211yescharacteristic
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×#535—21no—
48C2×#535—21no—
49C2×#535—21no—
50C2×#535—21no—
51C2×#535C2211yescharacteristic
52C2×#535C2211yescharacteristic
53C2×#535C2211yescharacteristic
54C2×#535C2211yescharacteristic
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2211yescharacteristic
58#3347—28no—
59#3318—28no—
60C2×#501C2211yescharacteristic, complemented
61C2×#490C2211yescharacteristic
62C2×#481C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#482C2211yescharacteristic, complemented
65C2×#482C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#480C2211yescharacteristic, complemented
68C2×#478C2211yescharacteristic, complemented
69C2×#478C2211yescharacteristic, complemented
70C2×#474C2211yescharacteristic, complemented
71C2×#469C2211yescharacteristic, complemented
72C2×#469C2211yescharacteristic, complemented
73C2×#466C2211yescharacteristic, complemented
74C2×#466C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic
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
85C2×#427C2211yescharacteristic, complemented
86C2×#418C2211yescharacteristic, complemented
87C2×#418C2211yescharacteristic, complemented
88C22×#102C2211yescharacteristic, complemented
89C22×#102C2211yescharacteristic, complemented
90C2×#408C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic, complemented
92#2851C2211yescharacteristic, complemented
93#2716—21no—
94#2714—21no—
95#2688—21no—
96#2673—21no—
97#2615C2211yescharacteristic, complemented
98#2615C2211yescharacteristic, complemented
99#2562C2211yescharacteristic, complemented
100#2557—21no—
101#2535C2211yescharacteristic, complemented
102#2486C2211yescharacteristic, complemented
103#2485C2211yescharacteristic, complemented
104#2464—21no—
105#2459—21no—
106#2456—21no—
107#2416C2211yescharacteristic, complemented
108#2414C2211yescharacteristic, complemented
109#2352C2211yescharacteristic, complemented
110#2311C2211yescharacteristic, complemented
111#2311C2211yescharacteristic, complemented
112C4×#121C2211yescharacteristic, complemented
113#2058C2211yescharacteristic, complemented
114#2058C2211yescharacteristic, complemented
115#2057C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2041C2211yescharacteristic
118#2041C2211yescharacteristic
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#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, 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
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#1988C2211yescharacteristic, complemented
155#1982C2211yescharacteristic
156#1961C2211yescharacteristic
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#1875C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, 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#1862C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, 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#1780C2211yescharacteristic, complemented
201#1780C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206#1735C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227H(3,𝔽4)—216no—
228H(3,𝔽4)—216no—
229#555—216no—
230#555—24no—
231#555—24no—
232#555—24no—
233#555—24no—
234#555—24no—
235#555—24no—
236#555—24no—
237#555D418yescomplemented
238#553—24no—
239#553—24no—
240D42—216no—
241D42—24no—
242D42—24no—
243D42—24no—
244D42—24no—
245D42—24no—
246D42—24no—
247D42—24no—
248D42D418yescomplemented
249#535—216no—
250#535—216no—
251#535—216no—
252#535—216no—
253#535—24no—
254#535—24no—
255#535—24no—
256#535—24no—
257#535—24no—
258#535—24no—
259#535—24no—
260#535—24no—
261#532—24no—
262#532—24no—
263#532—24no—
264#532—24no—
265#532—24no—
266#532—24no—
267C2×C4⋊Q8D411yescharacteristic
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127—21no—
271C2×#127—21no—
272C2×#127—21no—
273C2×#127—21no—
274C2×#127D411yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#126—21no—
278C2×#125C2311yescharacteristic
279C2×#124—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124—21no—
291C2×#124—21no—
292C2×#124—21no—
293C2×#124D411yescharacteristic
294C2×#124D411yescharacteristic
295C2×#123—21no—
296C2×#123—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121D411yescharacteristic
310C2×#121D411yescharacteristic
311C2×#121D411yescharacteristic
312C2×#121D411yescharacteristic
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×#120—21no—
341C2×#120—21no—
342C2×#120—21no—
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
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×#117—21no—
360C2×#117—21no—
361C2×#117—21no—
362C2×#117—21no—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#501—24no—
373#490—24no—
374#482—24no—
375#482—24no—
376#482—24no—
377#482—24no—
378#481—24no—
379#480—24no—
380#478—24no—
381#478—24no—
382#474—24no—
383#469—24no—
384#469—24no—
385#466—24no—
386#466—24no—
387#459—24no—
388#447—24no—
389#447—24no—
390#447—42no—
391#447—42no—
392#442—24no—
393#442—24no—
394#435—24no—
395#435—24no—
396#428—24no—
397#427—24no—
398C2×#107C2311yescharacteristic
399C2×#107C2311yescharacteristic
400C2×#107C2311yescharacteristic
401C2×#107C2311yescharacteristic
402C2×#107C2311yescharacteristic
403C2×#107C2311yescharacteristic
404C2×#106C2311yescharacteristic
405C2×#106C2311yescharacteristic
406C2×#106C2311yescharacteristic
407C2×#106C2311yescharacteristic
408C2×#106C2311yescharacteristic
409C2×#106C2311yescharacteristic
410C2×C4⋊C8C2311yescharacteristic
411C2×C4⋊C8C2311yescharacteristic
412#418—24no—
413#418—42no—
414C2×#102—24no—
415C2×#102—42no—
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
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
448#408—42no—
449#408—42no—
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
467C2×#97C2311yescharacteristic
468#400—21no—
469#398—21no—
470#397—21no—
471#397—21no—
472#397—21no—
473#396—21no—
474#394—21no—
475#394—21no—
476#394—21no—
477#394—21no—
478#393—21no—
479#393—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392—21no—
488#391—21no—
489#391—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388—21no—
498#388—21no—
499#388—21no—
500#388—21no—
501#388—21no—
502#388—21no—
503#387—21no—
504#387—21no—
505#387—21no—
506#387—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#385—21no—
517#385—21no—
518#382C2311yescharacteristic
519#381—21no—
520#380C2311yescharacteristic
521#380C2311yescharacteristic
522#380C2311yescharacteristic
523#380C2311yescharacteristic
524#380C2311yescharacteristic
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531C4×C4⋊C4C2311yescharacteristic
532C4×C22⋊C4—21no—
533C4×C22⋊C4—21no—
534#340C2311yescharacteristic
535#340C2311yescharacteristic
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#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554C25—21no—
555C25—21no—
556C25—21no—
557C25—21no—
558C2×#41—28no—
559C2×#41—28no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—82no—
573C2×#41—82no—
574C2×#41—82no—
575C2×#41—82no—
576C22×Q8—21no—
577C22×Q8—21no—
578C22×Q8C2×D411yescharacteristic
579C22×Q8C2×D411yescharacteristic
580C22×D4—28no—
581C22×D4—28no—
582C22×D4—28no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—28no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
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—22no—
614C22×D4—22no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—82no—
632C22×D4—82no—
633C22×D4—82no—
634C22×D4—82no—
635C22×D4—82no—
636C22×D4—82no—
637C22×D4—82no—
638C22×D4—82no—
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2×D414yes—
649C22×D4C2×D414yes—
650C22×D4C2×D411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4C2×D411yescharacteristic
664C23×C4C2×D411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×M16—22no—
683C2×M16—22no—
684C2×M16—22no—
685C2×M16—41no—
686C2×M16—41no—
687C2×M16—41no—
688C22×C8—22no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—41no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C4⋊Q8—24no—
703C4⋊Q8—22no—
704C4⋊Q8—22no—
705C4⋊Q8—22no—
706C4⋊Q8C2×D414yes—
707#127—28no—
708#127—28no—
709#127—28no—
710#127—28no—
711#127—24no—
712#127—22no—
713#127—22no—
714#127—22no—
715#127C2×D414yes—
716#126—44no—
717#125—22no—
718#125—22no—
719#124—28no—
720#124—28no—
721#124—28no—
722#124—28no—
723#124—28no—
724#124—28no—
725#124—28no—
726#124—28no—
727#124—28no—
728#124—28no—
729#124—28no—
730#124—28no—
731#124—28no—
732#124—28no—
733#124—24no—
734#124—24no—
735#123—44no—
736#123—82no—
737#121—28no—
738#121—28no—
739#121—28no—
740#121—28no—
741#121—28no—
742#121—28no—
743#121—28no—
744#121—28no—
745#121—28no—
746#121—24no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—28no—
760#121—24no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—24no—
770#121—24no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—41no—
776#121—41no—
777#121—44no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—82no—
783#121C2×D414yes—
784#121C2×D414yes—
785#121C2×D414yes—
786#121C2×D414yes—
787#120—28no—
788#120—28no—
789#120—28no—
790#120—28no—
791#120—28no—
792#120—28no—
793#120—28no—
794#120—28no—
795#120—28no—
796#120—28no—
797#120—28no—
798#120—28no—
799#120—28no—
800#120—28no—
801#120—28no—
802#120—28no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—22no—
810C4×D4—22no—
811C4×D4—22no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—44no—
820C4×D4—82no—
821C4×D4C2×D414yes—
822C4×D4C2×D414yes—
823C4×D4C2×D414yes—
824C4×D4C2×D414yes—
825#117—28no—
826#117—28no—
827#117—28no—
828#117—22no—
829#117—22no—
830#117—28no—
831#117—22no—
832#117—22no—
833#117—22no—
834#117—22no—
835#117—22no—
836#117—22no—
837#117—41no—
838#117—41no—
839#117C2×D414yes—
840#117C2×D414yes—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—22no—
844C2×C4⋊C4—22no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—41no—
853C2×C4⋊C4—41no—
854C2×C4⋊C4C2×D411yescharacteristic
855C2×C4⋊C4C2×D411yescharacteristic
856C2×C4⋊C4C2×D411yescharacteristic
857C2×C4⋊C4C2×D411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
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—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
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×C22⋊C4C2×D411yescharacteristic
918C2×C42—21no—
919C2×C42—21no—
920C2×C42—21no—
921C2×C42—21no—
922C2×C42—22no—
923C2×C42—22no—
924C2×C42—21no—
925C2×C42—21no—
926C2×C42—21no—
927C2×C42C2×D411yescharacteristic
928C2×C42C2×D411yescharacteristic
929C2×C42C2411yescharacteristic
930C2×C42C2411yescharacteristic
931#107—22no—
932#107—22no—
933#107—22no—
934#107—22no—
935#107—22no—
936#107—22no—
937#106—22no—
938#106—22no—
939#106—22no—
940#106—22no—
941#106—22no—
942#106—22no—
943C4⋊C8—22no—
944C4⋊C8—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
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#102—41no—
971#102—41no—
972#102—41no—
973#102—41no—
974#102—41no—
975#102—41no—
976#102—41no—
977C22⋊C8—22no—
978C22⋊C8—22no—
979C22⋊C8—22no—
980C22⋊C8—22no—
981C22⋊C8—22no—
982C22⋊C8—22no—
983C22⋊C8—22no—
984C22⋊C8—41no—
985C22⋊C8—41no—
986C22⋊C8—41no—
987C22⋊C8—41no—
988C22⋊C8—41no—
989C22⋊C8—41no—
990C22⋊C8—41no—
991C22⋊C8—41no—
992C22⋊C8—41no—
993#97—22no—
994#97—22no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95—21no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012C24—24no—
1013C24—24no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—24no—
1019C24—24no—
1020C24—21no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24C22×D411yescharacteristic
1046C24C22×D411yescharacteristic
1047C24C22×D411yescharacteristic
1048C24C22×D411yescharacteristic
1049C24C22×D411yescharacteristic
1050#41—82no—
1051#41—82no—
1052#41—82no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—816no—
1059#41—816no—
1060C2×Q8—24no—
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—24no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—81no—
1069C2×Q8—81no—
1070C2×Q8—81no—
1071C2×Q8—81no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—22no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—816no—
1183C2×D4—816no—
1184C2×D4—816no—
1185C2×D4—816no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
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—81no—
1222C2×D4#12014yes—
1223C2×D4C22×D412yes—
1224C2×D4C22×D412yes—
1225C2×D4C22×D412yes—
1226C2×D4C22×D412yes—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—81no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4C22×D411yescharacteristic
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D412yes—
1300C22×C4C22×D412yes—
1301C22×C4C22×D412yes—
1302C22×C4C22×D412yes—
1303C22×C4C22×D411yescharacteristic
1304C22×C4C2511yescharacteristic
1305D8—44no—
1306D8—44no—
1307D8—82no—
1308D8—82no—
1309M16—44no—
1310M16—82no—
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—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—44no—
1335C2×C8—82no—
1336C2×C8H(5,𝔽2)12yes—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—81no—
1366C4⋊C4—81no—
1367C4⋊C4#12014yes—
1368C4⋊C4C22×D412yes—
1369C4⋊C4C22×D412yes—
1370C4⋊C4C22×D412yes—
1371C4⋊C4C22×D412yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4#12014yes—
1420C22⋊C4#12014yes—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—21no—
1428C42—21no—
1429C42—42no—
1430C42—81no—
1431C42—81no—
1432C42C22×D412yes—
1433C42C22×D412yes—
1434C23—21no—
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—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—41no—
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—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—162no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23C2×#12012yes—
1531C23C2×#12012yes—
1532C23C23×D411yescharacteristic
1533Q8—82no—
1534Q8—82no—
1535Q8—84no—
1536Q8—84no—
1537D4—22no—
1538D4—22no—
1539D4—22no—
1540D4—22no—
1541D4—22no—
1542D4—22no—
1543D4—22no—
1544D4—22no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—44no—
1549D4—48no—
1550D4—48no—
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—84no—
1564D4—84no—
1565D4—82no—
1566D4—82no—
1567D4—84no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
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—162no—
1590D4—162no—
1591D4—162no—
1592C2×C4—21no—
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—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—44no—
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—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—162no—
1674C2×C4—162no—
1675C2×C4—162no—
1676C2×C4C2×#12012yes—
1677C2×C4C2×#12012yes—
1678C2×C4C2×#12012yes—
1679C2×C4C2×#12012yes—
1680C2×C4#57612yes—
1681C2×C4C23×D411yescharacteristic
1682C2×C4C23×D411yescharacteristic
1683C2×C4C2×H(5,𝔽2)11yescharacteristic
1684C2×C4#58511yescharacteristic
1685C2×C4#58511yescharacteristic
1686C2×C4#58511yescharacteristic
1687C8—22no—
1688C8—41no—
1689C8—41no—
1690C8—41no—
1691C8—41no—
1692C8—41no—
1693C8—41no—
1694C8—41no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
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—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
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—168no—
1766C22—168no—
1767C22—168no—
1768C22—168no—
1769C22C22×#12011yescharacteristic
1770C22#348511yescharacteristic
1771C22#349611yescharacteristic
1772C22C2×#57611yescharacteristic
1773C22#358511yescharacteristic
1774C22#358511yescharacteristic
1775C22#358511yescharacteristic
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—81no—
1790C4—81no—
1791C4—81no—
1792C4—81no—
1793C4—81no—
1794C4—81no—
1795C4—81no—
1796C4#348511yescharacteristic
1797C4#348811yescharacteristic
1798C4#349611yescharacteristic
1799C4#350011yescharacteristic
1800C2—42no—
1801C2—42no—
1802C2—81no—
1803C2—81no—
1804C2—81no—
1805C2—82no—
1806C2—82no—
1807C2—82no—
1808C2—82no—
1809C2—161no—
1810C2#3575011yescharacteristic
1811C2#6036711yescharacteristic
1812C2#6037211yescharacteristic
1813C2#6179711yescharacteristic
1814C2#6180211yescharacteristic
1815C2#6233611yescharacteristic
1816C2#6234911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3549C2semidirect
2. C2×#3347C2semidirect
3. C2×#3318C2semidirect
4. #39462C2semidirect
5. #29694C2semidirect
6. #29602C2semidirect
7. #29602C2semidirect
8. #25891C2semidirect
9. #25710C2semidirect
10. #25676C2semidirect
11. #25554C2semidirect
12. #25538C2semidirect
13. #24440C2semidirect
14. #24424C2semidirect
15. #24390C2semidirect
16. #24390C2semidirect
17. #24248C2semidirect
18. #24150C2semidirect
19. #24129C2semidirect
20. #24104C2semidirect
21. #24093C2semidirect
22. #24044C2semidirect
23. #24032C2semidirect
24. #24015C2semidirect
25. #24013C2semidirect
26. #23573C2semidirect
27. #23486C2semidirect
28. #23483C2semidirect
29. #22492C2semidirect
30. #22423C2semidirect
31. #22403C2semidirect
41. C2×#553C22semidirect
60. C2×#501C22semidirect
62. C2×#481C22semidirect
63. C2×#482C22semidirect
64. C2×#482C22semidirect
65. C2×#482C22semidirect
66. C2×#482C22semidirect
67. C2×#480C22semidirect
68. C2×#478C22semidirect
69. C2×#478C22semidirect
70. C2×#474C22semidirect
71. C2×#469C22semidirect
72. C2×#469C22semidirect
73. C2×#466C22semidirect
74. C2×#466C22semidirect
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. C2×#427C22semidirect
86. C2×#418C22semidirect
87. C2×#418C22semidirect
88. C22×#102C22semidirect
89. C22×#102C22semidirect
90. C2×#408C22semidirect
91. C2×#408C22semidirect
92. #2851C22semidirect
97. #2615C22semidirect
98. #2615C22semidirect
99. #2562C22semidirect
101. #2535C22semidirect
102. #2486C22semidirect
103. #2485C22semidirect
107. #2416C22semidirect
108. #2414C22semidirect
109. #2352C22semidirect
110. #2311C22semidirect
111. #2311C22semidirect
112. C4×#121C22semidirect
113. #2058C22semidirect
114. #2058C22semidirect
115. #2057C22semidirect
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. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2023C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1993C22semidirect
154. #1988C22semidirect
157. #1955C22semidirect
158. #1955C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1875C22semidirect
166. #1875C22semidirect
167. #1875C22semidirect
168. #1875C22semidirect
169. #1874C22semidirect
170. #1874C22semidirect
171. #1870C22semidirect
172. #1870C22semidirect
173. #1869C22semidirect
174. #1869C22semidirect
175. #1864C22semidirect
176. #1864C22semidirect
177. #1862C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1854C22semidirect
182. #1854C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1825C22semidirect
188. #1825C22semidirect
189. #1804C22semidirect
190. #1804C22semidirect
191. #1797C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1780C22semidirect
202. #1762C22semidirect
203. #1762C22semidirect
204. #1749C22semidirect
205. #1736C22semidirect
206. #1735C22semidirect
237. #555D4semidirect
248. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35492
C2×#33472
C2×#33182
#394622
#296942
#296022
#258912
#257102
#256762
#255542
#255382
#244402
#244242
#243902
#242482
#241502
#241292
#241042
#240932
#240442
#240322
#240152
#240132
#235732
#234862
#234832
#224922
#224232
#224032