Finite Group Databasebeta

← #6513285

Subgroups — #6513285

Order 512.

3135 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3540C211yesmaximal, characteristic, complemented
2C2×#3263C211yesmaximal, characteristic, complemented
3C2×#3175C211yesmaximal, characteristic, complemented
4#37271C211yesmaximal, characteristic, complemented
5#25898C211yesmaximal, characteristic, complemented
6#25895C211yesmaximal, characteristic, complemented
7#25762C211yesmaximal, characteristic, complemented
8#25761C211yesmaximal, characteristic, complemented
9#25705C211yesmaximal, characteristic, complemented
10#25704C211yesmaximal, characteristic, complemented
11#25580C211yesmaximal, characteristic, complemented
12#25578C211yesmaximal, characteristic, complemented
13#24396C211yesmaximal, characteristic, complemented
14#24394C211yesmaximal, characteristic, complemented
15#24392C211yesmaximal, characteristic, complemented
16#24390C211yesmaximal, characteristic, complemented
17#24389C211yesmaximal, characteristic, complemented
18#24388C211yesmaximal, characteristic, complemented
19#24383C211yesmaximal, characteristic, complemented
20#24382C211yesmaximal, characteristic, complemented
21#24259C211yesmaximal, characteristic, complemented
22#24256C211yesmaximal, characteristic, complemented
23#24246C211yesmaximal, characteristic, complemented
24#24245C211yesmaximal, characteristic, complemented
25#24133C211yesmaximal, characteristic, complemented
26#24131C211yesmaximal, characteristic, complemented
27#24123C211yesmaximal, characteristic, complemented
28#24117C211yesmaximal, characteristic, complemented
29#21896C211yesmaximal, characteristic, complemented
30#21412C211yesmaximal, characteristic, complemented
31#21191C211yesmaximal, characteristic, complemented
32#3540—28no—
33#3540—28no—
34C2×H(3,𝔽4)—21no—
35C2×#560—21no—
36C2×#559—21no—
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#551—21no—
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×#542—21no—
47C2×#542—21no—
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic, complemented
51C2×#538—21no—
52C2×#538—21no—
53C2×#536C2211yescharacteristic
54C2×#535C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58#3263—28no—
59#3175—28no—
60C2×#500C2211yescharacteristic, complemented
61C2×#495C2211yescharacteristic, complemented
62C2×#489C2211yescharacteristic, complemented
63C2×#489C2211yescharacteristic, complemented
64C2×#475C2211yescharacteristic, complemented
65C2×#475C2211yescharacteristic, complemented
66C2×#476C2211yescharacteristic, complemented
67C2×#476C2211yescharacteristic, complemented
68C2×#470C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic
70C2×#468C2211yescharacteristic
71C2×#468C2211yescharacteristic, complemented
72C2×#467C2211yescharacteristic, complemented
73C2×#466C2211yescharacteristic
74C2×#465C2211yescharacteristic
75C2×#465C2211yescharacteristic, complemented
76C2×#464C2211yescharacteristic, complemented
77C2×#464C2211yescharacteristic, complemented
78C2×#463C2211yescharacteristic, complemented
79C2×#463C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic
81C2×#452C2211yescharacteristic
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic
84C2×#451C2211yescharacteristic, complemented
85C2×#448C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×#440C2211yescharacteristic, complemented
90C2×C4×Q16C2211yescharacteristic, complemented
91C2×C4×D8C2211yescharacteristic, complemented
92C2×#424C2211yescharacteristic, complemented
93C2×#408C2211yescharacteristic
94C2×#408C2211yescharacteristic
95C2×#407C2211yescharacteristic, complemented
96C22×C22⋊C8C2211yescharacteristic, complemented
97C2×#405C2211yescharacteristic, complemented
98#2848C2211yescharacteristic, complemented
99#2847C2211yescharacteristic, complemented
100#2723—21no—
101#2714—21no—
102#2710—21no—
103#2706—21no—
104#2692—21no—
105#2678—21no—
106#2676—21no—
107#2670—21no—
108#2616C2211yescharacteristic
109#2615C2211yescharacteristic
110#2563C2211yescharacteristic, complemented
111#2547C2211yescharacteristic
112#2540C2211yescharacteristic
113#2540C2211yescharacteristic, complemented
114#2538C2211yescharacteristic
115#2537C2211yescharacteristic, complemented
116#2536C2211yescharacteristic, complemented
117#2535C2211yescharacteristic
118#2314C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2001C2211yescharacteristic, complemented
136#2001C2211yescharacteristic, complemented
137#2001C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1993C2211yescharacteristic, complemented
152#1990C2211yescharacteristic, complemented
153#1988C2211yescharacteristic, complemented
154#1987C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1983C2211yescharacteristic, complemented
157#1959C2211yescharacteristic, complemented
158#1958C2211yescharacteristic, complemented
159#1955C2211yescharacteristic
160#1955C2211yescharacteristic
161#1955C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic
164#1954C2211yescharacteristic
165#1954C2211yescharacteristic, complemented
166#1954C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic
169#1894C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic
173#1892C2211yescharacteristic, complemented
174#1892C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C4×#103C2211yescharacteristic, complemented
206C4×#102C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225H(3,𝔽4)—216no—
226#560—216no—
227#559—216no—
228#556—24no—
229#556—24no—
230#556—24no—
231#556—24no—
232#555—24no—
233#555—24no—
234#555—24no—
235#555—24no—
236#551—216no—
237#548—24no—
238#548—24no—
239#548—24no—
240#548—24no—
241#546—24no—
242#546—24no—
243#546—24no—
244#546—24no—
245#542—216no—
246#542—216no—
247#542—24no—
248#542—24no—
249#542—24no—
250#542—24no—
251#542D418yescomplemented
252#542D418yescomplemented
253#538—216no—
254#538—216no—
255#536—24no—
256#536—24no—
257#535—24no—
258#535—24no—
259C2×C4⋊Q8—21no—
260C2×C4⋊Q8C2311yescharacteristic
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127—21no—
264C2×#126—21no—
265C2×#126—21no—
266C2×#126—21no—
267C2×#126—21no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#124—21no—
272C2×#124—21no—
273C2×#124—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124—21no—
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288#525—24no—
289#525—24no—
290#525—24no—
291#525—24no—
292#525—24no—
293#525—24no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123D411yescharacteristic
304C2×#123D411yescharacteristic
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8D411yescharacteristic
311C2×C22⋊Q8D411yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121D411yescharacteristic
331C2×#121D411yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120D411yescharacteristic
351C2×#120D411yescharacteristic
352C2×C4×Q8—21no—
353C2×C4×Q8—21no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117—21no—
371C2×#117—21no—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C22×C22⋊C4—21no—
378C22×C22⋊C4—21no—
379#500—24no—
380#495—24no—
381#489—24no—
382#489—24no—
383#476—24no—
384#476—24no—
385#475—24no—
386#475—24no—
387#470—24no—
388#469—24no—
389#468—24no—
390#468—24no—
391#467—24no—
392#466—24no—
393#465—24no—
394#465—24no—
395#464—24no—
396#464—24no—
397#463—24no—
398#463—24no—
399#452—42no—
400#452—42no—
401#451—42no—
402#450—42no—
403#449—42no—
404#449—42no—
405#448—42no—
406#447—42no—
407#440—24no—
408#440—24no—
409C4×Q16—24no—
410C4×D8—24no—
411C2×#107C2311yescharacteristic
412C2×#107C2311yescharacteristic
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×#106C2311yescharacteristic
419#424—24no—
420C2×C4⋊C8C2311yescharacteristic
421C2×C4⋊C8C2311yescharacteristic
422C2×C4⋊C8C2311yescharacteristic
423C2×C4⋊C8C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456#408—42no—
457#408—42no—
458#407—42no—
459C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476#405—24no—
477C2×#97C2311yescharacteristic
478C2×#97C2311yescharacteristic
479C2×C4×C8C2311yescharacteristic
480C2×C4×C8C2311yescharacteristic
481#399—21no—
482#399—21no—
483#398—21no—
484#397—21no—
485#397—21no—
486#397—21no—
487#396—21no—
488#396—21no—
489#395—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#393—21no—
497#393—21no—
498#393—21no—
499#392—21no—
500#392—21no—
501#392—21no—
502#392—21no—
503#392—21no—
504#392—21no—
505#391—21no—
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390—21no—
511#390—21no—
512#389—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#387—21no—
518#387—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#384C2311yescharacteristic
528#382—21no—
529#382C2311yescharacteristic
530#380—21no—
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542C4×C4⋊C4C2311yescharacteristic
543C4×C4⋊C4C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
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
560C25—21no—
561C25C2×D411yescharacteristic
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—21no—
583C22×Q8—21no—
584C22×Q8—21no—
585C22×Q8—21no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8C2×D411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
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—22no—
603C22×D4—22no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—21no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4C2×D411yescharacteristic
637C23×C4C2×D411yescharacteristic
638C23×C4C2×D411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C2×Q16—22no—
645C2×Q16—22no—
646C2×Q16—22no—
647C2×Q16—41no—
648C2×Q16—41no—
649C2×Q16—41no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×M16—22no—
669C2×M16—22no—
670C2×M16—22no—
671C2×M16—41no—
672C2×M16—41no—
673C2×M16—41no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—22no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C4⋊Q8—28no—
689C4⋊Q8—22no—
690C4⋊Q8—22no—
691C4⋊Q8—22no—
692C4⋊Q8—22no—
693C4⋊Q8C2×D414yes—
694C4⋊Q8C2×D414yes—
695#127—28no—
696#126—28no—
697#126—28no—
698#126—28no—
699#126—28no—
700#126—28no—
701#126—28no—
702#126—44no—
703#124—28no—
704#124—28no—
705#124—28no—
706#124—28no—
707#124—28no—
708#124—28no—
709#124—28no—
710#124—28no—
711#124—28no—
712#124—28no—
713#124—28no—
714#124—28no—
715#124—22no—
716#124—22no—
717#124—22no—
718#124—22no—
719#124—44no—
720#124—82no—
721#124C2×D414yes—
722#124C2×D414yes—
723#123—28no—
724#123—28no—
725#123—28no—
726#123—28no—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—24no—
732#123—24no—
733#123—44no—
734C22⋊Q8—28no—
735C22⋊Q8—28no—
736C22⋊Q8—22no—
737C22⋊Q8—22no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—24no—
745C22⋊Q8—24no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—44no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8C2×D414yes—
762C22⋊Q8C2×D414yes—
763#121—28no—
764#121—28no—
765#121—28no—
766#121—28no—
767#121—28no—
768#121—28no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—22no—
775#121—24no—
776#121—24no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—41no—
789#121—41no—
790#121—41no—
791#121—82no—
792#121C2×D414yes—
793#121C2×D414yes—
794#120—28no—
795#120—28no—
796#120—28no—
797#120—28no—
798#120—28no—
799#120—28no—
800#120—24no—
801#120—24no—
802#120—82no—
803C4×Q8—28no—
804C4×Q8—28no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8C2×D414yes—
810C4×Q8C2×D414yes—
811C4×D4—28no—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4C2×D414yes—
830C4×D4C2×D414yes—
831#117—28no—
832#117—28no—
833#117—22no—
834#117—22no—
835#117—22no—
836#117—22no—
837#117—22no—
838#117—22no—
839#117—22no—
840#117—22no—
841#117C2×D414yes—
842#117C2×D414yes—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
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—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2×D411yescharacteristic
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2×D411yescharacteristic
866C2×C4⋊C4C2×D411yescharacteristic
867C2×C4⋊C4C2×D411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C22⋊C4—28no—
879C2×C22⋊C4—28no—
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⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
926C2×C22⋊C4C2×D411yescharacteristic
927C2×C22⋊C4C2×D411yescharacteristic
928C2×C22⋊C4C2×D411yescharacteristic
929C2×C22⋊C4C2×D411yescharacteristic
930C2×C22⋊C4C2×D411yescharacteristic
931C2×C22⋊C4C2×D411yescharacteristic
932C2×C22⋊C4C2×D411yescharacteristic
933C2×C22⋊C4C2×D411yescharacteristic
934C2×C22⋊C4C2×D411yescharacteristic
935C2×C42—21no—
936C2×C42—21no—
937C2×C42—21no—
938C2×C42—21no—
939C2×C42—21no—
940C2×C42—21no—
941C2×C42—21no—
942C2×C42—21no—
943C2×C42—21no—
944C2×C42C2411yescharacteristic
945C2×C42C2411yescharacteristic
946#107—22no—
947#107—22no—
948#107—22no—
949#107—22no—
950#106—22no—
951#106—22no—
952#106—22no—
953#106—22no—
954C4⋊C8—22no—
955C4⋊C8—22no—
956C4⋊C8—22no—
957C4⋊C8—22no—
958#103—22no—
959#103—22no—
960#103—22no—
961#103—22no—
962#103—22no—
963#103—22no—
964#103—22no—
965#103—22no—
966#103—22no—
967#103—22no—
968#103—41no—
969#103—41no—
970#103—41no—
971#103—41no—
972#103—41no—
973#103—41no—
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—41no—
985#102—41no—
986#102—41no—
987#102—41no—
988#102—41no—
989#102—41no—
990C22⋊C8—22no—
991C22⋊C8—22no—
992C22⋊C8—22no—
993C22⋊C8—22no—
994C22⋊C8—22no—
995C22⋊C8—22no—
996C22⋊C8—22no—
997C22⋊C8—22no—
998C22⋊C8—41no—
999C22⋊C8—41no—
1000C22⋊C8—41no—
1001C22⋊C8—41no—
1002C22⋊C8—41no—
1003C22⋊C8—41no—
1004C22⋊C8—41no—
1005C22⋊C8—41no—
1006#97—22no—
1007#97—22no—
1008C4×C8—22no—
1009C4×C8—22no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024C24—24no—
1025C24—21no—
1026C24—21no—
1027C24—22no—
1028C24—21no—
1029C24—41no—
1030C24—41no—
1031C24—41no—
1032C24—41no—
1033C24—41no—
1034C24—41no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24C22×D411yescharacteristic
1042C24C22×D411yescharacteristic
1043C24C22×D411yescharacteristic
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046#41—82no—
1047#41—82no—
1048#41—82no—
1049#41—82no—
1050#41—82no—
1051#41—82no—
1052#41—82no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058C2×Q8—24no—
1059C2×Q8—24no—
1060C2×Q8—24no—
1061C2×Q8—22no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—82no—
1090C2×Q8—82no—
1091C2×Q8—82no—
1092C2×Q8—82no—
1093C2×Q8C22×D412yes—
1094C2×Q8C22×D412yes—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
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—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
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—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4C22×D412yes—
1179C2×D4C22×D412yes—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—82no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—82no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D412yes—
1262C22×C4C22×D412yes—
1263C22×C4C2511yescharacteristic
1264Q16—44no—
1265Q16—82no—
1266SD16—44no—
1267SD16—44no—
1268SD16—82no—
1269SD16—82no—
1270D8—44no—
1271D8—82no—
1272M16—44no—
1273M16—82no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—44no—
1297C2×C8—82no—
1298C2×C8H(5,𝔽2)12yes—
1299C2×C8H(5,𝔽2)12yes—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—81no—
1334C4⋊C4—81no—
1335C4⋊C4—81no—
1336C4⋊C4—81no—
1337C4⋊C4—81no—
1338C4⋊C4—81no—
1339C4⋊C4#12014yes—
1340C4⋊C4#12014yes—
1341C4⋊C4C22×D412yes—
1342C4⋊C4C22×D412yes—
1343C4⋊C4C22×D412yes—
1344C4⋊C4C22×D412yes—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4#12014yes—
1399C22⋊C4#12014yes—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—42no—
1407C42—81no—
1408C42—81no—
1409C42C22×D412yes—
1410C42C22×D412yes—
1411C42C22×D412yes—
1412C42C22×D412yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—44no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23C2×#12012yes—
1483C23C23×D411yescharacteristic
1484Q8—22no—
1485Q8—22no—
1486Q8—22no—
1487Q8—22no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—82no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500Q8—162no—
1501D4—22no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—82no—
1517D4—82no—
1518D4—82no—
1519D4—82no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—82no—
1616C2×C4—82no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—82no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—162no—
1624C2×C4C2×#12012yes—
1625C2×C4C2×#12012yes—
1626C2×C4C2×#12012yes—
1627C2×C4C2×#12012yes—
1628C2×C4C2×#12012yes—
1629C2×C4C23×D411yescharacteristic
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4#58511yescharacteristic
1634C2×C4#58511yescharacteristic
1635C8—22no—
1636C8—22no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—88no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—168no—
1701C22C22×#12011yescharacteristic
1702C22#349611yescharacteristic
1703C22#349611yescharacteristic
1704C22#358411yescharacteristic
1705C22#358411yescharacteristic
1706C22#358511yescharacteristic
1707C22#358611yescharacteristic
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—81no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4#348811yescharacteristic
1731C4#348811yescharacteristic
1732C4#349811yescharacteristic
1733C4#350011yescharacteristic
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—82no—
1740C2—82no—
1741C2—161no—
1742C2#3551311yescharacteristic
1743C2#6037611yescharacteristic
1744C2#6037711yescharacteristic
1745C2#6227511yescharacteristic
1746C2#6229411yescharacteristic
1747C2#6230911yescharacteristic
1748C2#6231011yescharacteristic
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×#3540C2semidirect
2. C2×#3263C2semidirect
3. C2×#3175C2semidirect
4. #37271C2semidirect
5. #25898C2semidirect
6. #25895C2semidirect
7. #25762C2semidirect
8. #25761C2semidirect
9. #25705C2semidirect
10. #25704C2semidirect
11. #25580C2semidirect
12. #25578C2semidirect
13. #24396C2semidirect
14. #24394C2semidirect
15. #24392C2semidirect
16. #24390C2semidirect
17. #24389C2semidirect
18. #24388C2semidirect
19. #24383C2semidirect
20. #24382C2semidirect
21. #24259C2semidirect
22. #24256C2semidirect
23. #24246C2semidirect
24. #24245C2semidirect
25. #24133C2semidirect
26. #24131C2semidirect
27. #24123C2semidirect
28. #24117C2semidirect
29. #21896C2semidirect
30. #21412C2semidirect
31. #21191C2semidirect
50. C2×#542C22semidirect
60. C2×#500C22semidirect
61. C2×#495C22semidirect
62. C2×#489C22semidirect
63. C2×#489C22semidirect
64. C2×#475C22semidirect
65. C2×#475C22semidirect
66. C2×#476C22semidirect
67. C2×#476C22semidirect
68. C2×#470C22semidirect
71. C2×#468C22semidirect
72. C2×#467C22semidirect
75. C2×#465C22semidirect
76. C2×#464C22semidirect
77. C2×#464C22semidirect
78. C2×#463C22semidirect
79. C2×#463C22semidirect
84. C2×#451C22semidirect
85. C2×#448C22semidirect
86. C2×#450C22semidirect
87. C2×#447C22semidirect
88. C2×#440C22semidirect
89. C2×#440C22semidirect
90. C2×C4×Q16C22semidirect
91. C2×C4×D8C22semidirect
92. C2×#424C22semidirect
95. C2×#407C22semidirect
96. C22×C22⋊C8C22semidirect
97. C2×#405C22semidirect
98. #2848C22semidirect
99. #2847C22semidirect
110. #2563C22semidirect
113. #2540C22semidirect
115. #2537C22semidirect
116. #2536C22semidirect
118. #2314C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2036C22semidirect
122. #2036C22semidirect
123. #2035C22semidirect
124. #2035C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2001C22semidirect
136. #2001C22semidirect
137. #2001C22semidirect
138. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1993C22semidirect
152. #1990C22semidirect
153. #1988C22semidirect
154. #1987C22semidirect
155. #1983C22semidirect
156. #1983C22semidirect
157. #1959C22semidirect
158. #1958C22semidirect
161. #1955C22semidirect
162. #1955C22semidirect
165. #1954C22semidirect
166. #1954C22semidirect
169. #1894C22semidirect
170. #1894C22semidirect
173. #1892C22semidirect
174. #1892C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1873C22semidirect
180. #1873C22semidirect
181. #1873C22semidirect
182. #1873C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1854C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. C4×#103C22semidirect
206. C4×#102C22semidirect
251. #542D4semidirect
252. #542D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35402
C2×#32632
C2×#31752
#372712
#258982
#258952
#257622
#257612
#257052
#257042
#255802
#255782
#243962
#243942
#243922
#243902
#243892
#243882
#243832
#243822
#242592
#242562
#242462
#242452
#241332
#241312
#241232
#241172
#218962
#214122
#211912