Finite Group Databasebeta

← #6809439

Subgroups — #6809439

Order 512.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3198C211yesmaximal, characteristic, complemented
2C2×#3190C211yesmaximal, characteristic, complemented
3#37649C211yesmaximal, characteristic, complemented
4#35565C211yesmaximal, characteristic, complemented
5#33115C211yesmaximal, characteristic, complemented
6#30729C211yesmaximal, characteristic, complemented
7#30709C211yesmaximal, characteristic, complemented
8#30703C211yesmaximal, characteristic, complemented
9#30701C211yesmaximal, characteristic, complemented
10#30516C211yesmaximal, characteristic, complemented
11#30508C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30502C211yesmaximal, characteristic, complemented
14#29604C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28484C211yesmaximal, characteristic, complemented
18#26242C211yesmaximal, characteristic, complemented
19#26230C211yesmaximal, characteristic, complemented
20#25768C211yesmaximal, characteristic, complemented
21#25761C211yesmaximal, characteristic, complemented
22#25736C211yesmaximal, characteristic, complemented
23#25399C211yesmaximal, characteristic, complemented
24#25387C211yesmaximal, characteristic, complemented
25#24393C211yesmaximal, characteristic, complemented
26#24378C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23929C211yesmaximal, characteristic, complemented
29#23919C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21589C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic, complemented
33C2×#537C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3198—28no—
42#3190—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#485C2211yescharacteristic
47C2×#485C2211yescharacteristic
48C2×#482C2211yescharacteristic
49C2×#483C2211yescharacteristic, complemented
50C2×#480C2211yescharacteristic, complemented
51C2×#480C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#467C2211yescharacteristic, complemented
57C2×#467C2211yescharacteristic, complemented
58C2×#466C2211yescharacteristic
59C2×#466C2211yescharacteristic
60C2×#466C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#464C2211yescharacteristic, complemented
65C2×#460C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic
75C2×#448C2211yescharacteristic
76C2×#448C2211yescharacteristic, complemented
77C2×#450C2211yescharacteristic
78C2×#450C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#435C2211yescharacteristic, complemented
81C2×C8×D4C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic
83C22×C22⋊C8C2211yescharacteristic
84#2847C2211yescharacteristic
85#2683—21no—
86#2681—21no—
87#2676—21no—
88#2672—21no—
89#2620C2211yescharacteristic
90#2616C2211yescharacteristic
91#2541—21no—
92#2541—21no—
93#2541C2211yescharacteristic
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic
96#2541C2211yescharacteristic
97#2540—21no—
98#2540—21no—
99#2540C2211yescharacteristic
100#2540C2211yescharacteristic
101#2540C2211yescharacteristic
102#2540C2211yescharacteristic
103#2540C2211yescharacteristic, complemented
104#2539—21no—
105#2539—21no—
106#2538C2211yescharacteristic, complemented
107#2449—21no—
108#2433—21no—
109#2433—21no—
110#2424—21no—
111#2424—21no—
112#2417C2211yescharacteristic, complemented
113#2416—21no—
114#2416C2211yescharacteristic, complemented
115#2409C2211yescharacteristic, complemented
116#2407C2211yescharacteristic, complemented
117D4×C4⋊C4C2211yescharacteristic, complemented
118#2323C2211yescharacteristic
119#2274C2211yescharacteristic
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
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
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1983C2211yescharacteristic, complemented
162#1983C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1948C2211yescharacteristic, complemented
169#1947C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1928C2211yescharacteristic, complemented
172#1928C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1920C2211yescharacteristic, complemented
177#1918C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic
180#1893C2211yescharacteristic
181#1893C2211yescharacteristic, complemented
182#1874C2211yescharacteristic
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic, complemented
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1852C2211yescharacteristic
194#1825C2211yescharacteristic
195#1798C2211yescharacteristic
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1779C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#107C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#548—42no—
229#548—42no—
230#537—24no—
231#537—42no—
232#537—42no—
233#537—42no—
234#535—24no—
235#535—42no—
236#535—42no—
237#535—42no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127—21no—
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#124—21no—
246C2×#124—21no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250#525—24no—
251#525—42no—
252#525—42no—
253#525—42no—
254C2×#123—21no—
255C2×#123D411yescharacteristic
256C2×#123D411yescharacteristic
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—24no—
263C2×C22⋊Q8—42no—
264C2×C22⋊Q8D411yescharacteristic
265C2×C22⋊Q8D411yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—42no—
290C2×#121—42no—
291C2×#121D411yescharacteristic
292C2×#121D411yescharacteristic
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×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120D411yescharacteristic
316C2×#120D411yescharacteristic
317C2×C4×Q8C2311yescharacteristic
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C22×C4⋊C4—21no—
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C22⋊C4—21no—
333C22×C22⋊C4—21no—
334#496—42no—
335#495—42no—
336#485—24no—
337#485D418yescomplemented
338#483—24no—
339#482—24no—
340#481—24no—
341#480—24no—
342#480—24no—
343#469—24no—
344#468—24no—
345#468—42no—
346#467—24no—
347#467—24no—
348#467—42no—
349#466—24no—
350#466—42no—
351#466—42no—
352#465—24no—
353#465—24no—
354#465—24no—
355#464—42no—
356#460—42no—
357#452—24no—
358#452—24no—
359#452—42no—
360#451—24no—
361#450—24no—
362#450—42no—
363#449—24no—
364#449—24no—
365#449—42no—
366#449—42no—
367#448—24no—
368#448—42no—
369#448—42no—
370#447—24no—
371#435—42no—
372C8×D4—42no—
373C2×#107C2311yescharacteristic
374C2×#107C2311yescharacteristic
375C2×#107C2311yescharacteristic
376C2×#107C2311yescharacteristic
377C2×#107C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
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
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415#408—24no—
416C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×C4×C8C2311yescharacteristic
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#399—21no—
440#398—21no—
441#396—21no—
442#396—21no—
443#396—21no—
444#396—21no—
445#396—21no—
446#396—21no—
447#395—21no—
448#395—21no—
449#394—21no—
450#394—21no—
451#394—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#393—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#392—21no—
470#392—21no—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
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#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390C2311yescharacteristic
489#389—21no—
490#389—21no—
491#389—21no—
492#389C2311yescharacteristic
493#388—21no—
494#388—21no—
495#387—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#385—21no—
507#384C2311yescharacteristic
508#380—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514C4×C4⋊C4—21no—
515C4×C4⋊C4—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C4⋊C4C2311yescharacteristic
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—
540C25C2×D411yescharacteristic
541C2×#41—22no—
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—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C22×Q8—21no—
560C22×Q8—22no—
561C22×Q8—41no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8C2×D411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
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—21no—
588C22×D4—22no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—44no—
600C22×D4—82no—
601C22×D4—82no—
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C23×C4—21no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—21no—
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×Q16—22no—
634C2×Q16—22no—
635C2×Q16—41no—
636C2×Q16—41no—
637C2×Q16—41no—
638C2×Q16—41no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
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
689#127—22no—
690#127—22no—
691#127—41no—
692#127—41no—
693#127—44no—
694#127—82no—
695#127—82no—
696#127—82no—
697#127—82no—
698#124—22no—
699#124—22no—
700#124—22no—
701#124—22no—
702#124—41no—
703#124—41no—
704#124—44no—
705#124—44no—
706#123—42no—
707#123—42no—
708#123—44no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
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—42no—
720C22⋊Q8—42no—
721C22⋊Q8—44no—
722C22⋊Q8—41no—
723C22⋊Q8—41no—
724C22⋊Q8—41no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—44no—
732C22⋊Q8—44no—
733C22⋊Q8—44no—
734C22⋊Q8—44no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8C2×D414yes—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
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—42no—
754#121—42no—
755#121—44no—
756#121—44no—
757#121—41no—
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—41no—
771#121—41no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—82no—
784#120—42no—
785#120—42no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—82no—
792C4×Q8—22no—
793C4×Q8—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—82no—
806#117—22no—
807#117—22no—
808#117—22no—
809#117C2×D414yes—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—22no—
813C2×C4⋊C4—22no—
814C2×C4⋊C4—22no—
815C2×C4⋊C4—22no—
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—21no—
832C2×C4⋊C4—41no—
833C2×C4⋊C4—41no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
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—44no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912#107—22no—
913#107—22no—
914#107—22no—
915#107—22no—
916#107C2×D414yescomplemented
917#106—22no—
918#106—22no—
919#106C2×D414yescomplemented
920C4⋊C8—22no—
921C4⋊C8—22no—
922#103—22no—
923#103—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#103C2×D414yescomplemented
934#103C2×D414yescomplemented
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8C2×D414yes—
970#97—22no—
971C4×C8—22no—
972#95—21no—
973#95—21no—
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—22no—
988C24—22no—
989C24—22no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022C2×Q8—22no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
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—41no—
1041C2×Q8—41no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—81no—
1045C2×Q8—82no—
1046C2×Q8—82no—
1047C2×Q8—82no—
1048C2×Q8—82no—
1049C2×Q8C22×D412yes—
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
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—41no—
1084C2×D4—41no—
1085C2×D4—41no—
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—42no—
1096C2×D4—42no—
1097C2×D4—42no—
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—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
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—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—816no—
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—21no—
1178C22×C4—21no—
1179C22×C4—24no—
1180C22×C4—22no—
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—21no—
1204C22×C4—21no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
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—42no—
1228C22×C4—42no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D412yes—
1250C22×C4H(5,𝔽2)12yes—
1251C22×C4C2511yescharacteristic
1252Q16—82no—
1253Q16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257SD16—82no—
1258SD16—82no—
1259SD16—82no—
1260SD16—82no—
1261D8—82no—
1262D8—82no—
1263D8—82no—
1264M16—82no—
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—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—82no—
1288C2×C8—82no—
1289C2×C8—82no—
1290C2×C8C22×D412yes—
1291C2×C8C22×D412yes—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
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—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
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⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4C22×D412yes—
1330C4⋊C4C22×D412yes—
1331C4⋊C4C22×D412yes—
1332C4⋊C4H(5,𝔽2)12yes—
1333C4⋊C4H(5,𝔽2)12yes—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
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—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C42—24no—
1386C42—21no—
1387C42—21no—
1388C42—42no—
1389C42—81no—
1390C42—81no—
1391C42—81no—
1392C42—81no—
1393C42—81no—
1394C42H(5,𝔽2)12yes—
1395C42H(5,𝔽2)12yes—
1396C23—21no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—41no—
1432C23—41no—
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—82no—
1460C23—82no—
1461C23—82no—
1462C23—84no—
1463C23—82no—
1464C23—84no—
1465C23—84no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23D4212yes—
1471C23#57612yes—
1472C23#57712yes—
1473C23C23×D411yescharacteristic
1474Q8—22no—
1475Q8—22no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—82no—
1487Q8—84no—
1488D4—44no—
1489D4—44no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—82no—
1507D4—84no—
1508D4—82no—
1509D4—82no—
1510D4—82no—
1511D4—82no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
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—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
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—82no—
1615C2×C4—82no—
1616C2×C4—84no—
1617C2×C4—82no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—162no—
1623C2×C4#53412yes—
1624C2×C4#53412yes—
1625C2×C4D4212yes—
1626C2×C4C23×D411yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C2×C4C2×H(5,𝔽2)11yescharacteristic
1632C8—22no—
1633C8—22no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
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—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—88no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
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—168no—
1705C22C2×#53411yescharacteristic
1706C22C2×D4211yescharacteristic
1707C22#348411yescharacteristic
1708C22C2×#57611yescharacteristic
1709C22C2×#57711yescharacteristic
1710C22#358411yescharacteristic
1711C22#358611yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4#349811yescharacteristic
1734C4#349811yescharacteristic
1735C4#354311yescharacteristic
1736C4#354311yescharacteristic
1737C2—42no—
1738C2—42no—
1739C2—42no—
1740C2—81no—
1741C2—81no—
1742C2—161no—
1743C2—161no—
1744C2—161no—
1745C2—161no—
1746C2#3933611yescharacteristic
1747C2#6076211yescharacteristic
1748C2#6076911yescharacteristic
1749C2#6105611yescharacteristic
1750C2#6107511yescharacteristic
1751C2#6161511yescharacteristic
1752C2#6162911yescharacteristic
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×#3198C2semidirect
2. C2×#3190C2semidirect
3. #37649C2semidirect
4. #35565C2semidirect
5. #33115C2semidirect
6. #30729C2semidirect
7. #30709C2semidirect
8. #30703C2semidirect
9. #30701C2semidirect
10. #30516C2semidirect
11. #30508C2semidirect
12. #30505C2semidirect
13. #30502C2semidirect
14. #29604C2semidirect
15. #29600C2semidirect
16. #28493C2semidirect
17. #28484C2semidirect
18. #26242C2semidirect
19. #26230C2semidirect
20. #25768C2semidirect
21. #25761C2semidirect
22. #25736C2semidirect
23. #25399C2semidirect
24. #25387C2semidirect
25. #24393C2semidirect
26. #24378C2semidirect
27. #24220C2semidirect
28. #23929C2semidirect
29. #23919C2semidirect
30. #22398C2semidirect
31. #21589C2semidirect
32. C2×#548C22semidirect
43. C2×#496C22semidirect
44. C2×#495C22semidirect
45. C2×#481C22semidirect
49. C2×#483C22semidirect
50. C2×#480C22semidirect
51. C2×#480C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#467C22semidirect
56. C2×#467C22semidirect
57. C2×#467C22semidirect
60. C2×#466C22semidirect
61. C2×#465C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#464C22semidirect
65. C2×#460C22semidirect
68. C2×#452C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#451C22semidirect
76. C2×#448C22semidirect
80. C2×#435C22semidirect
81. C2×C8×D4C22semidirect
103. #2540C22semidirect
106. #2538C22semidirect
112. #2417C22semidirect
114. #2416C22semidirect
115. #2409C22semidirect
116. #2407C22semidirect
117. D4×C4⋊C4C22semidirect
120. #2042C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2012C22semidirect
139. #2011C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1983C22semidirect
162. #1983C22semidirect
163. #1982C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1948C22semidirect
169. #1947C22semidirect
170. #1928C22semidirect
171. #1928C22semidirect
172. #1928C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1925C22semidirect
176. #1920C22semidirect
177. #1918C22semidirect
178. #1894C22semidirect
181. #1893C22semidirect
185. #1874C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
200. #1776C22semidirect
201. C4×#107C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
337. #485D4semidirect
916. #107C2×D4semidirect
919. #106C2×D4semidirect
933. #103C2×D4semidirect
934. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31982
C2×#31902
#376492
#355652
#331152
#307292
#307092
#307032
#307012
#305162
#305082
#305052
#305022
#296042
#296002
#284932
#284842
#262422
#262302
#257682
#257612
#257362
#253992
#253872
#243932
#243782
#242202
#239292
#239192
#223982
#215892