Finite Group Databasebeta

← #7519011

Subgroups — #7519011

Order 512.

2780 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3282C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3C2×#3062C211yesmaximal, characteristic, complemented
4C2×#3057C211yesmaximal, characteristic, complemented
5#45093C211yesmaximal, characteristic, complemented
6#44886C211yesmaximal, characteristic, complemented
7#30852C211yesmaximal, characteristic, complemented
8#30847C211yesmaximal, characteristic, complemented
9#30505C211yesmaximal, characteristic, complemented
10#30503C211yesmaximal, characteristic, complemented
11#28493C211yesmaximal, characteristic, complemented
12#25793C211yesmaximal, characteristic, complemented
13#25783C211yesmaximal, characteristic, complemented
14#25429C211yesmaximal, characteristic, complemented
15#25416C211yesmaximal, characteristic, complemented
16#25107C211yesmaximal, characteristic, complemented
17#25097C211yesmaximal, characteristic, complemented
18#25091C211yesmaximal, characteristic, complemented
19#25088C211yesmaximal, characteristic, complemented
20#24789C211yesmaximal, characteristic, complemented
21#24778C211yesmaximal, characteristic, complemented
22#24455C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24427C211yesmaximal, characteristic, complemented
26#24270C211yesmaximal, characteristic, complemented
27#23927C211yesmaximal, characteristic, complemented
28#23925C211yesmaximal, characteristic, complemented
29#23034C211yesmaximal, characteristic, complemented
30#23033C211yesmaximal, characteristic, complemented
31#21443C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic
34C23×SD16C2211yescharacteristic, complemented
35C22×#131C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#546C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×#537C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic
44#3282—28no—
45#3268—28no—
46C2×#496C2211yescharacteristic
47C2×#496C2211yescharacteristic
48C2×#495C2211yescharacteristic
49#3062—28no—
50#3057—28no—
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic
56C2×#468C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#466C2211yescharacteristic
60C2×#466C2211yescharacteristic, complemented
61C2×#466C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic
63C2×#465C2211yescharacteristic
64C2×#465C2211yescharacteristic
65C2×#465C2211yescharacteristic, complemented
66C2×#465C2211yescharacteristic, complemented
67C2×#465C2211yescharacteristic, complemented
68C2×#465C2211yescharacteristic, complemented
69C2×#464C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic
72C2×#459C2211yescharacteristic
73C2×#452C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#440C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×#435C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#428C2211yescharacteristic, complemented
91C2×#427C2211yescharacteristic, complemented
92C2×#419C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#416C2211yescharacteristic, complemented
95C22×#102C2211yescharacteristic, complemented
96#2678—21no—
97#2676—21no—
98#2674—21no—
99#2673—21no—
100#2673—21no—
101#2670—21no—
102#2669—21no—
103#2669—21no—
104#2541—21no—
105#2541C2211yescharacteristic, complemented
106#2540C2211yescharacteristic, complemented
107#2491—21no—
108#2472—21no—
109#2461—21no—
110#2445—21no—
111#2436C2211yescharacteristic
112#2435C2211yescharacteristic, complemented
113#2433C2211yescharacteristic, complemented
114#2431C2211yescharacteristic
115#2428C2211yescharacteristic, complemented
116#2427C2211yescharacteristic, complemented
117#2426C2211yescharacteristic, complemented
118#2426C2211yescharacteristic, complemented
119#2424—21no—
120#2424—21no—
121#2418—21no—
122#2416C2211yescharacteristic
123#2415C2211yescharacteristic, complemented
124#2414C2211yescharacteristic
125#2414C2211yescharacteristic, complemented
126#2407C2211yescharacteristic, complemented
127#2407C2211yescharacteristic, complemented
128#2388C2211yescharacteristic
129#2363C2211yescharacteristic
130#2362C2211yescharacteristic, complemented
131#2362C2211yescharacteristic, complemented
132#2361C2211yescharacteristic
133#2068C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2065C2211yescharacteristic, complemented
136#2065C2211yescharacteristic, complemented
137#2056C2211yescharacteristic, complemented
138#2054C2211yescharacteristic
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2012C2211yescharacteristic
151#2012C2211yescharacteristic
152#2012C2211yescharacteristic
153#2012C2211yescharacteristic, complemented
154#2011C2211yescharacteristic
155#2001C2211yescharacteristic, complemented
156#2001C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#1999C2211yescharacteristic
161#1999C2211yescharacteristic
162#1999C2211yescharacteristic
163#1999C2211yescharacteristic
164#1999C2211yescharacteristic
165#1983C2211yescharacteristic, complemented
166#1982C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1973C2211yescharacteristic, complemented
169#1973C2211yescharacteristic, complemented
170#1970C2211yescharacteristic, complemented
171#1944C2211yescharacteristic, complemented
172#1942C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1927C2211yescharacteristic, complemented
175#1926C2211yescharacteristic, complemented
176#1926C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1878C2211yescharacteristic, complemented
181#1875C2211yescharacteristic
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1865C2211yescharacteristic, complemented
193#1865C2211yescharacteristic, complemented
194#1864C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1850C2211yescharacteristic, complemented
199#1808C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1780C2211yescharacteristic
203#1776C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×#135—24no—
218C2×#135—24no—
219C2×#135—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×SD16—24no—
223C22×SD16—24no—
224C22×SD16—42no—
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C2×#131—24no—
240C2×#131—24no—
241C2×#131—42no—
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C23×C8C2311yescharacteristic
246C23×C8C2311yescharacteristic
247C23×C8C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#550—24no—
250#550—42no—
251#548—24no—
252#548—42no—
253#546—24no—
254#546—24no—
255#546—42no—
256#546—42no—
257#537—24no—
258#537—42no—
259#536—24no—
260#536—42no—
261#535—24no—
262#535—24no—
263#535—42no—
264#535—42no—
265C2×C4⋊Q8—21no—
266C2×#127—21no—
267C2×#127—21no—
268C2×#127—21no—
269C2×#127—21no—
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#124—21no—
273C2×#124—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2311yescharacteristic
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#120—21no—
317C2×#120—21no—
318C2×#120—21no—
319C2×#120—21no—
320C2×#120—21no—
321C2×#120—21no—
322C2×#120—21no—
323C2×#120—21no—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×D4—21no—
327C2×C4×D4—21no—
328C2×C4×D4—21no—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340#496—24no—
341#496—42no—
342#495—24no—
343#469—24no—
344#469—24no—
345#468—24no—
346#468—24no—
347#468—24no—
348#468—24no—
349#468—24no—
350#468D418yescomplemented
351#466—24no—
352#466—24no—
353#466—24no—
354#465—24no—
355#465—24no—
356#465—24no—
357#465—24no—
358#465—24no—
359#465—24no—
360#465D418yescomplemented
361#464—24no—
362#464—24no—
363#463—24no—
364#459—24no—
365#452—24no—
366#452—24no—
367#452—42no—
368#451—24no—
369#449—24no—
370#449—24no—
371#449—24no—
372#448—42no—
373#447—24no—
374#447—24no—
375#447—42no—
376#447—42no—
377#440—24no—
378C4×SD16—24no—
379#435—24no—
380#435—42no—
381C8×D4—24no—
382#428—24no—
383#427—24no—
384C2×#107C2311yescharacteristic
385C2×#107C2311yescharacteristic
386C2×#107C2311yescharacteristic
387C2×#107C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#419—24no—
396#418—24no—
397#416—24no—
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#102—24no—
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×#97C2311yescharacteristic
441C2×#97C2311yescharacteristic
442C2×C4×C8C2311yescharacteristic
443#399—21no—
444#397—21no—
445#397—21no—
446#396—21no—
447#396—21no—
448#396—21no—
449#395D411yescharacteristic
450#394—21no—
451#394—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394D411yescharacteristic
463#394D411yescharacteristic
464#394D411yescharacteristic
465#393—21no—
466#393—21no—
467#393D411yescharacteristic
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392D411yescharacteristic
481#392D411yescharacteristic
482#392D411yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389—21no—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#388—21no—
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—21no—
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#388—21no—
515#387—21no—
516#387—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#380—21no—
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#379—21no—
535#379—21no—
536C4×C4⋊C4—21no—
537C4×C4⋊C4—21no—
538C4×C4⋊C4C2311yescharacteristic
539C4×C4⋊C4C2311yescharacteristic
540C4×C22⋊C4—21no—
541C4×C22⋊C4C2311yescharacteristic
542C4×C22⋊C4C2311yescharacteristic
543C4×C22⋊C4C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558C25—21no—
559C25—21no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
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—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C22×Q8—21no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8C2×D411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—22no—
614C22×D4—22no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651AGL(1,ℤ/8)—416no—
652#135—416no—
653C2×Q16—22no—
654C2×Q16—22no—
655C2×Q16—22no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×Q16—41no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—416no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16C2×D414yes—
683C2×SD16C2×D414yes—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702#131—416no—
703C2×M16—22no—
704C2×M16—22no—
705C2×M16—22no—
706C2×M16—22no—
707C2×M16—22no—
708C2×M16—22no—
709C2×M16—22no—
710C2×M16—41no—
711C2×M16C2×D414yes—
712C22×C8—22no—
713C22×C8—22no—
714C22×C8—22no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—22no—
718C22×C8—22no—
719C22×C8—22no—
720C22×C8—22no—
721C22×C8—41no—
722C22×C8—41no—
723C22×C8C2×D414yes—
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C4⋊Q8—44no—
733#127—22no—
734#127—41no—
735#127—41no—
736#127—41no—
737#127—44no—
738#127—44no—
739#127—44no—
740#127—82no—
741#124—22no—
742#124—22no—
743#124—22no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—44no—
750#124—44no—
751#124—44no—
752#124—44no—
753#123—44no—
754#123—44no—
755#123—44no—
756#123—44no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—44no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—44no—
771C22⋊Q8C2×D414yes—
772C22⋊Q8C2×D414yes—
773#121—22no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—44no—
804#121—44no—
805#121—82no—
806#121—82no—
807#121C2×D414yes—
808#121C2×D414yes—
809#120—44no—
810#120—44no—
811#120—44no—
812#120—44no—
813#120—44no—
814#120—44no—
815#120—82no—
816#120—82no—
817C4×Q8—22no—
818C4×Q8—22no—
819C4×Q8—41no—
820C4×Q8—41no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—41no—
830C4×D4—41no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—82no—
834#117—22no—
835#117—22no—
836#117—22no—
837#117—41no—
838#117—41no—
839#117—41no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—22no—
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—41no—
856C2×C4⋊C4C2×D411yescharacteristic
857C2×C4⋊C4C2×D411yescharacteristic
858C2×C4⋊C4C2×D411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×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—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—44no—
913C2×C22⋊C4—44no—
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C22⋊C4C2×D411yescharacteristic
918C2×C22⋊C4C2×D411yescharacteristic
919C2×C22⋊C4C2×D411yescharacteristic
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C22⋊C4C2×D411yescharacteristic
924C2×C22⋊C4C2×D411yescharacteristic
925C2×C22⋊C4C2×D411yescharacteristic
926C2×C42—21no—
927C2×C42—21no—
928C2×C42—21no—
929C2×C42—21no—
930C2×C42—21no—
931C2×C42—21no—
932C2×C42—21no—
933C2×C42C2411yescharacteristic
934C2×C42C2411yescharacteristic
935C2×C42C2411yescharacteristic
936#107—22no—
937#107—22no—
938#107—22no—
939#107C2×D414yes—
940#106—22no—
941#106—22no—
942#106—22no—
943#106C2×D414yes—
944C4⋊C8—22no—
945C4⋊C8—22no—
946C4⋊C8—41no—
947#103—22no—
948#103—22no—
949#103—22no—
950#103—22no—
951#103—22no—
952#103—22no—
953#103—22no—
954#103—41no—
955#103—41no—
956#103—41no—
957#103C2×D414yes—
958#103C2×D414yes—
959#102—22no—
960#102—22no—
961#102—22no—
962#102—22no—
963#102—22no—
964#102—22no—
965#102—22no—
966#102—22no—
967#102—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—41no—
973#102—41no—
974#102—41no—
975#102—41no—
976#102—41no—
977#102C2×D414yes—
978#102C2×D414yes—
979C22⋊C8—22no—
980C22⋊C8—22no—
981C22⋊C8—22no—
982C22⋊C8—22no—
983C22⋊C8—22no—
984C22⋊C8—22no—
985C22⋊C8—41no—
986C22⋊C8—41no—
987C22⋊C8—41no—
988#97—22no—
989#97—22no—
990C4×C8—22no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95C2×D411yescharacteristic
1006#95C2×D411yescharacteristic
1007#95C2×D411yescharacteristic
1008#95C2×D411yescharacteristic
1009#95C2×D411yescharacteristic
1010#95C2×D411yescharacteristic
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032C24C22×D411yescharacteristic
1033C24C22×D411yescharacteristic
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—44no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045#41—82no—
1046#41—82no—
1047#41—82no—
1048#41—82no—
1049#41—82no—
1050C2×Q8—22no—
1051C2×Q8—22no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—41no—
1069C2×Q8—42no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—42no—
1073C2×Q8—81no—
1074C2×Q8—82no—
1075C2×Q8—82no—
1076C2×Q8C22×D412yes—
1077C2×Q8C22×D412yes—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
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×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4C22×D412yes—
1199C2×D4C22×D412yes—
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—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
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×D411yescharacteristic
1262C22×C4C22×D412yes—
1263C22×C4C22×D412yes—
1264C22×C4H(5,𝔽2)12yes—
1265C22×C4H(5,𝔽2)12yes—
1266C22×C4C2511yescharacteristic
1267Q16—44no—
1268Q16—82no—
1269SD16—28no—
1270SD16—28no—
1271SD16—44no—
1272SD16—44no—
1273SD16—44no—
1274SD16—44no—
1275SD16—82no—
1276SD16—82no—
1277D8—44no—
1278D8—44no—
1279D8—44no—
1280D8—82no—
1281D8—82no—
1282D8—82no—
1283M16—28no—
1284M16—44no—
1285M16—44no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—28no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—44no—
1307C2×C8—44no—
1308C2×C8—44no—
1309C2×C8C22×D412yes—
1310C2×C8C22×D412yes—
1311C2×C8C22×D412yes—
1312C2×C8C22×D412yes—
1313C2×C8H(5,𝔽2)12yes—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
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—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4C22×D412yes—
1344C4⋊C4C22×D412yes—
1345C4⋊C4C22×D412yes—
1346C4⋊C4C22×D412yes—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
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—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—81no—
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—22no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
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—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23—162no—
1492C23D4212yes—
1493C23D4212yes—
1494C23C23×D411yescharacteristic
1495Q8—22no—
1496Q8—22no—
1497Q8—22no—
1498Q8—22no—
1499Q8—44no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8—41no—
1506Q8—41no—
1507Q8—41no—
1508Q8—84no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—22no—
1513D4—44no—
1514D4—44no—
1515D4—44no—
1516D4—44no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—84no—
1534D4—84no—
1535D4—82no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—82no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
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—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—162no—
1639C2×C4—162no—
1640C2×C4—162no—
1641C2×C4D4212yes—
1642C2×C4D4212yes—
1643C2×C4C23×D411yescharacteristic
1644C2×C4C23×D411yescharacteristic
1645C2×C4C2×H(5,𝔽2)11yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4#58511yescharacteristic
1649C8—22no—
1650C8—22no—
1651C8—41no—
1652C8—41no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8D4214yes—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
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—42no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
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—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—168no—
1721C22—168no—
1722C22C2×D4211yescharacteristic
1723C22C2×D4211yescharacteristic
1724C22#349611yescharacteristic
1725C22#358411yescharacteristic
1726C22#358411yescharacteristic
1727C22#358511yescharacteristic
1728C22#358511yescharacteristic
1729C4—22no—
1730C4—22no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4C2×D4211yescharacteristic
1751C4#348811yescharacteristic
1752C4#348811yescharacteristic
1753C4#353711yescharacteristic
1754C2—42no—
1755C2—42no—
1756C2—81no—
1757C2—81no—
1758C2—82no—
1759C2—82no—
1760C2—161no—
1761C2—161no—
1762C2—161no—
1763C2#5899711yescharacteristic
1764C2#6105211yescharacteristic
1765C2#6107711yescharacteristic
1766C2#6108211yescharacteristic
1767C2#6109211yescharacteristic
1768C2#6231011yescharacteristic
1769C2#6234711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3282C2semidirect
2. C2×#3268C2semidirect
3. C2×#3062C2semidirect
4. C2×#3057C2semidirect
5. #45093C2semidirect
6. #44886C2semidirect
7. #30852C2semidirect
8. #30847C2semidirect
9. #30505C2semidirect
10. #30503C2semidirect
11. #28493C2semidirect
12. #25793C2semidirect
13. #25783C2semidirect
14. #25429C2semidirect
15. #25416C2semidirect
16. #25107C2semidirect
17. #25097C2semidirect
18. #25091C2semidirect
19. #25088C2semidirect
20. #24789C2semidirect
21. #24778C2semidirect
22. #24455C2semidirect
23. #24450C2semidirect
24. #24434C2semidirect
25. #24427C2semidirect
26. #24270C2semidirect
27. #23927C2semidirect
28. #23925C2semidirect
29. #23034C2semidirect
30. #23033C2semidirect
31. #21443C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
34. C23×SD16C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
52. C2×#469C22semidirect
56. C2×#468C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
60. C2×#466C22semidirect
61. C2×#466C22semidirect
65. C2×#465C22semidirect
66. C2×#465C22semidirect
67. C2×#465C22semidirect
68. C2×#465C22semidirect
69. C2×#464C22semidirect
70. C2×#464C22semidirect
73. C2×#452C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#451C22semidirect
80. C2×#448C22semidirect
85. C2×#440C22semidirect
86. C2×C4×SD16C22semidirect
87. C2×#435C22semidirect
88. C2×#435C22semidirect
89. C2×C8×D4C22semidirect
90. C2×#428C22semidirect
91. C2×#427C22semidirect
92. C2×#419C22semidirect
93. C2×#418C22semidirect
94. C2×#416C22semidirect
95. C22×#102C22semidirect
105. #2541C22semidirect
106. #2540C22semidirect
112. #2435C22semidirect
113. #2433C22semidirect
115. #2428C22semidirect
116. #2427C22semidirect
117. #2426C22semidirect
118. #2426C22semidirect
123. #2415C22semidirect
125. #2414C22semidirect
126. #2407C22semidirect
127. #2407C22semidirect
130. #2362C22semidirect
131. #2362C22semidirect
133. #2068C22semidirect
134. #2065C22semidirect
135. #2065C22semidirect
136. #2065C22semidirect
137. #2056C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2042C22semidirect
142. #2041C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
153. #2012C22semidirect
155. #2001C22semidirect
156. #2001C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
165. #1983C22semidirect
166. #1982C22semidirect
167. #1973C22semidirect
168. #1973C22semidirect
169. #1973C22semidirect
170. #1970C22semidirect
171. #1944C22semidirect
172. #1942C22semidirect
173. #1928C22semidirect
174. #1927C22semidirect
175. #1926C22semidirect
176. #1926C22semidirect
177. #1880C22semidirect
180. #1878C22semidirect
185. #1875C22semidirect
186. #1873C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1865C22semidirect
193. #1865C22semidirect
194. #1864C22semidirect
195. #1862C22semidirect
196. #1851C22semidirect
197. #1850C22semidirect
198. #1850C22semidirect
199. #1808C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
203. #1776C22semidirect
204. #1753C22semidirect
205. #1753C22semidirect
206. #1752C22semidirect
350. #468D4semidirect
360. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32822
C2×#32682
C2×#30622
C2×#30572
#450932
#448862
#308522
#308472
#305052
#305032
#284932
#257932
#257832
#254292
#254162
#251072
#250972
#250912
#250882
#247892
#247782
#244552
#244502
#244342
#244272
#242702
#239272
#239252
#230342
#230332
#214432