Finite Group Databasebeta

← #6809428

Subgroups — #6809428

Order 512.

2531 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3200C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#37650C211yesmaximal, characteristic, complemented
4#35634C211yesmaximal, characteristic, complemented
5#33116C211yesmaximal, characteristic, complemented
6#30723C211yesmaximal, characteristic, complemented
7#30711C211yesmaximal, characteristic, complemented
8#30710C211yesmaximal, characteristic, complemented
9#30704C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30500C211yesmaximal, characteristic, complemented
13#30500C211yesmaximal, characteristic, complemented
14#29603C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28482C211yesmaximal, characteristic, complemented
18#26249C211yesmaximal, characteristic, complemented
19#26240C211yesmaximal, characteristic, complemented
20#25763C211yesmaximal, characteristic, complemented
21#25753C211yesmaximal, characteristic, complemented
22#25733C211yesmaximal, characteristic, complemented
23#25400C211yesmaximal, characteristic, complemented
24#25388C211yesmaximal, characteristic, complemented
25#24397C211yesmaximal, characteristic, complemented
26#24381C211yesmaximal, characteristic, complemented
27#24219C211yesmaximal, characteristic, complemented
28#23924C211yesmaximal, characteristic, complemented
29#23919C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21588C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C2×#537C2211yescharacteristic, complemented
34C2×#536C2211yescharacteristic, complemented
35C2×#536C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic
41#3200—28no—
42#3188—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#484C2211yescharacteristic, complemented
46C2×#481C2211yescharacteristic, complemented
47C2×#485C2211yescharacteristic, complemented
48C2×#485C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic
50C2×#482C2211yescharacteristic, complemented
51C2×#482C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#465C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic, complemented
65C2×#461C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic
70C2×#448C2211yescharacteristic, complemented
71C2×#448C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic
73C2×#450C2211yescharacteristic
74C2×#450C2211yescharacteristic
75C2×#450C2211yescharacteristic, complemented
76C2×#450C2211yescharacteristic, complemented
77C2×#450C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic
79C2×#447C2211yescharacteristic, complemented
80C2×#435C2211yescharacteristic, complemented
81C2×C8×D4C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic, complemented
83C22×C22⋊C8C2211yescharacteristic, complemented
84#2847C2211yescharacteristic
85#2678—21no—
86#2676—21no—
87#2673—21no—
88#2669—21no—
89#2619C2211yescharacteristic
90#2615C2211yescharacteristic
91#2542—21no—
92#2542—21no—
93#2542C2211yescharacteristic
94#2542C2211yescharacteristic, complemented
95#2542C2211yescharacteristic, complemented
96#2542C2211yescharacteristic, complemented
97#2541C2211yescharacteristic
98#2540—21no—
99#2540—21no—
100#2540C2211yescharacteristic
101#2540C2211yescharacteristic, complemented
102#2540C2211yescharacteristic, complemented
103#2540C2211yescharacteristic, complemented
104#2539—21no—
105#2539—21no—
106#2535C2211yescharacteristic
107#2501—21no—
108#2501—21no—
109#2472—21no—
110#2433—21no—
111#2416C2211yescharacteristic
112#2414C2211yescharacteristic
113#2410—21no—
114#2408C2211yescharacteristic
115#2408C2211yescharacteristic
116#2403—21no—
117#2352C2211yescharacteristic
118#2324C2211yescharacteristic
119#2274C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2013C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1981C2211yescharacteristic, complemented
164#1960C2211yescharacteristic, complemented
165#1958C2211yescharacteristic, complemented
166#1955C2211yescharacteristic
167#1954C2211yescharacteristic
168#1949C2211yescharacteristic, complemented
169#1949C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1920C2211yescharacteristic, complemented
177#1918C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1780C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#106C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229D42—42no—
230D42—42no—
231#537—42no—
232#537—42no—
233#536—24no—
234#536—42no—
235#536—42no—
236#536—42no—
237#535—24no—
238#535—42no—
239C2×C4⋊Q8—21no—
240C2×C4⋊Q8C2311yescharacteristic
241C2×C4⋊Q8C2311yescharacteristic
242C2×#127—21no—
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#124—21no—
246C2×#124—21no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249#525—24no—
250#525—42no—
251#525—42no—
252#525—42no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×#123D411yescharacteristic
259C2×#123D411yescharacteristic
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8—21no—
265C2×C22⋊Q8—42no—
266C2×C22⋊Q8—42no—
267C2×C22⋊Q8D411yescharacteristic
268C2×C22⋊Q8D411yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—24no—
289C2×#121—42no—
290C2×#121D411yescharacteristic
291C2×#121D411yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120D411yescharacteristic
316C2×#120D411yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×#117C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C22×C4⋊C4—21no—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C22⋊C4—21no—
331C22×C22⋊C4—21no—
332#496—42no—
333#492—42no—
334#485—24no—
335#485—24no—
336#484—24no—
337#482—24no—
338#482—24no—
339#482D418yescomplemented
340#481—24no—
341#469—42no—
342#468—24no—
343#468—24no—
344#466—24no—
345#466—24no—
346#465—24no—
347#465—24no—
348#465—24no—
349#465—24no—
350#465—42no—
351#465—42no—
352#465—42no—
353#463—42no—
354#461—42no—
355#450—24no—
356#450—24no—
357#450—24no—
358#450—42no—
359#450—42no—
360#450—42no—
361#449—24no—
362#449—24no—
363#449—42no—
364#448—24no—
365#448—24no—
366#448—42no—
367#447—24no—
368#447—42no—
369#435—42no—
370C8×D4—42no—
371C2×#107C2311yescharacteristic
372C2×#107C2311yescharacteristic
373C2×#107C2311yescharacteristic
374C2×#106C2311yescharacteristic
375C2×#106C2311yescharacteristic
376C2×#106C2311yescharacteristic
377C2×#106C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×C4⋊C8C2311yescharacteristic
380C2×C4⋊C8C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#103C2311yescharacteristic
395C2×#103C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413#408—24no—
414C2×C22⋊C8—24no—
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×#97C2311yescharacteristic
432C2×C4×C8C2311yescharacteristic
433#399—21no—
434#399—21no—
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#399—21no—
440#399—21no—
441#399—21no—
442#399—21no—
443#399—21no—
444#399—21no—
445#397—21no—
446#396—21no—
447#394—21no—
448#394—21no—
449#394—21no—
450#394—21no—
451#394—21no—
452#394—21no—
453#393—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#389C2311yescharacteristic
488#388—21no—
489#388—21no—
490#388—21no—
491#387—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#385—21no—
501#384—21no—
502#384—21no—
503#384—21no—
504#384—21no—
505#382C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#379—21no—
512#379—21no—
513C4×C4⋊C4—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4—21no—
521C4×C22⋊C4—21no—
522C4×C22⋊C4—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C22×Q8—21no—
555C22×Q8—22no—
556C22×Q8—22no—
557C22×Q8—41no—
558C22×Q8—41no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8C2×D411yescharacteristic
562C22×Q8C2411yescharacteristic
563C22×Q8C2411yescharacteristic
564C22×Q8C2411yescharacteristic
565C22×D4—21no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—82no—
600C22×D4—82no—
601C22×D4—82no—
602C22×D4—82no—
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2×D411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—21no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4C2×D411yescharacteristic
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×M16—22no—
670C2×M16—41no—
671C2×M16—41no—
672C22×C8—22no—
673C22×C8—22no—
674C22×C8—22no—
675C22×C8—41no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C4⋊Q8—22no—
690C4⋊Q8—22no—
691C4⋊Q8—41no—
692C4⋊Q8—41no—
693C4⋊Q8—44no—
694#127—22no—
695#127—22no—
696#127—44no—
697#127—82no—
698#124—22no—
699#124—22no—
700#124—41no—
701#124—41no—
702#124—44no—
703#124—44no—
704#123—42no—
705#123—42no—
706#123—44no—
707#123—44no—
708#123—44no—
709#123—44no—
710#123—44no—
711C22⋊Q8—22no—
712C22⋊Q8—22no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—42no—
724C22⋊Q8—42no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—44no—
738C22⋊Q8—44no—
739C22⋊Q8—44no—
740C22⋊Q8—44no—
741C22⋊Q8—44no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—42no—
756#121—42no—
757#121—44no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—82no—
780#121C2×D414yes—
781#120—42no—
782#120—42no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—82no—
789#120—82no—
790#120—82no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—44no—
802C4×D4—44no—
803#117—22no—
804#117—22no—
805#117—22no—
806#117—22no—
807#117—41no—
808#117C2×D414yescomplemented
809C2×C4⋊C4—21no—
810C2×C4⋊C4—22no—
811C2×C4⋊C4—22no—
812C2×C4⋊C4—22no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—41no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—44no—
894C2×C22⋊C4—44no—
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42—21no—
911C2×C42—21no—
912C2×C42C2411yescharacteristic
913C2×C42C2411yescharacteristic
914#107—22no—
915#107—22no—
916#107C2×D414yescomplemented
917#106—22no—
918#106—22no—
919#106—22no—
920#106—22no—
921#106C2×D414yescomplemented
922C4⋊C8—22no—
923C4⋊C8—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—41no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103—41no—
935#103—41no—
936#103—41no—
937#103—41no—
938#103—41no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102C2×D414yes—
955#102C2×D414yes—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8C2×D414yescomplemented
972#97—22no—
973C4×C8—22no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987C24—21no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025C2×Q8—22no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—42no—
1047C2×Q8—42no—
1048C2×Q8—42no—
1049C2×Q8—82no—
1050C2×Q8—82no—
1051C2×Q8—82no—
1052C2×Q8—82no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—24no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
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—816no—
1166C2×D4—816no—
1167C2×D4C22×D412yes—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—21no—
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—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D412yes—
1246C22×C4H(5,𝔽2)12yes—
1247C22×C4C2511yescharacteristic
1248SD16—82no—
1249SD16—82no—
1250SD16—82no—
1251SD16—82no—
1252SD16—82no—
1253SD16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257D8—82no—
1258D8—82no—
1259D8—82no—
1260M16—82no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
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—82no—
1284C2×C8—82no—
1285C2×C8—82no—
1286C2×C8C22×D412yes—
1287C2×C8C22×D412yes—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—81no—
1326C4⋊C4C22×D412yes—
1327C4⋊C4C22×D412yes—
1328C4⋊C4C22×D412yes—
1329C4⋊C4H(5,𝔽2)12yes—
1330C4⋊C4H(5,𝔽2)12yes—
1331C22⋊C4—24no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C42—24no—
1387C42—21no—
1388C42—21no—
1389C42—42no—
1390C42—81no—
1391C42—81no—
1392C42—81no—
1393C42—81no—
1394C42—81no—
1395C42H(5,𝔽2)12yes—
1396C42H(5,𝔽2)12yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—82no—
1461C23—82no—
1462C23—82no—
1463C23—84no—
1464C23—84no—
1465C23—82no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23D4212yes—
1479C23#57712yes—
1480C23#57712yes—
1481C23C23×D411yescharacteristic
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—82no—
1495Q8—84no—
1496D4—22no—
1497D4—22no—
1498D4—44no—
1499D4—44no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—82no—
1515D4—84no—
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—84no—
1530D4—84no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
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—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—82no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—82no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4#53412yes—
1628C2×C4#53412yes—
1629C2×C4D4212yes—
1630C2×C4C23×D411yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C2×C4C2×H(5,𝔽2)11yescharacteristic
1633C2×C4C2×H(5,𝔽2)11yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C8—22no—
1637C8—22no—
1638C8—41no—
1639C8—41no—
1640C8—41no—
1641C8—41no—
1642C8—41no—
1643C8—41no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
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—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—88no—
1683C22—81no—
1684C22—81no—
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—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—168no—
1709C22—168no—
1710C22C2×#53411yescharacteristic
1711C22C2×D4211yescharacteristic
1712C22#348411yescharacteristic
1713C22C2×#57711yescharacteristic
1714C22C2×#57711yescharacteristic
1715C22#358411yescharacteristic
1716C22#358511yescharacteristic
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4#349811yescharacteristic
1739C4#349811yescharacteristic
1740C4#354311yescharacteristic
1741C4#354311yescharacteristic
1742C2—42no—
1743C2—42no—
1744C2—42no—
1745C2—81no—
1746C2—81no—
1747C2—82no—
1748C2—161no—
1749C2—161no—
1750C2—161no—
1751C2#3933611yescharacteristic
1752C2#6075711yescharacteristic
1753C2#6076911yescharacteristic
1754C2#6105511yescharacteristic
1755C2#6107111yescharacteristic
1756C2#6161411yescharacteristic
1757C2#6163311yescharacteristic
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×#3200C2semidirect
2. C2×#3188C2semidirect
3. #37650C2semidirect
4. #35634C2semidirect
5. #33116C2semidirect
6. #30723C2semidirect
7. #30711C2semidirect
8. #30710C2semidirect
9. #30704C2semidirect
10. #30511C2semidirect
11. #30501C2semidirect
12. #30500C2semidirect
13. #30500C2semidirect
14. #29603C2semidirect
15. #29600C2semidirect
16. #28493C2semidirect
17. #28482C2semidirect
18. #26249C2semidirect
19. #26240C2semidirect
20. #25763C2semidirect
21. #25753C2semidirect
22. #25733C2semidirect
23. #25400C2semidirect
24. #25388C2semidirect
25. #24397C2semidirect
26. #24381C2semidirect
27. #24219C2semidirect
28. #23924C2semidirect
29. #23919C2semidirect
30. #22398C2semidirect
31. #21588C2semidirect
33. C2×#537C22semidirect
34. C2×#536C22semidirect
35. C2×#536C22semidirect
38. C2×#525C22semidirect
39. C22×C22⋊Q8C22semidirect
43. C2×#496C22semidirect
44. C2×#492C22semidirect
45. C2×#484C22semidirect
46. C2×#481C22semidirect
47. C2×#485C22semidirect
48. C2×#485C22semidirect
50. C2×#482C22semidirect
51. C2×#482C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
56. C2×#466C22semidirect
58. C2×#465C22semidirect
59. C2×#465C22semidirect
60. C2×#465C22semidirect
61. C2×#465C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#463C22semidirect
65. C2×#461C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
70. C2×#448C22semidirect
71. C2×#448C22semidirect
75. C2×#450C22semidirect
76. C2×#450C22semidirect
77. C2×#450C22semidirect
79. C2×#447C22semidirect
80. C2×#435C22semidirect
81. C2×C8×D4C22semidirect
82. C2×#408C22semidirect
83. C22×C22⋊C8C22semidirect
94. #2542C22semidirect
95. #2542C22semidirect
96. #2542C22semidirect
101. #2540C22semidirect
102. #2540C22semidirect
103. #2540C22semidirect
119. #2274C22semidirect
120. #2043C22semidirect
121. #2042C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2013C22semidirect
135. #2013C22semidirect
136. #2013C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1981C22semidirect
164. #1960C22semidirect
165. #1958C22semidirect
168. #1949C22semidirect
169. #1949C22semidirect
170. #1926C22semidirect
171. #1926C22semidirect
172. #1926C22semidirect
173. #1926C22semidirect
174. #1925C22semidirect
175. #1925C22semidirect
176. #1920C22semidirect
177. #1918C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
182. #1875C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1873C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1853C22semidirect
194. #1825C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1780C22semidirect
199. #1779C22semidirect
200. #1776C22semidirect
201. C4×#106C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
339. #482D4semidirect
808. #117C2×D4semidirect
916. #107C2×D4semidirect
921. #106C2×D4semidirect
971. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32002
C2×#31882
#376502
#356342
#331162
#307232
#307112
#307102
#307042
#305112
#305012
#305002
#296032
#296002
#284932
#284822
#262492
#262402
#257632
#257532
#257332
#254002
#253882
#243972
#243812
#242192
#239242
#239192
#223982
#215882