Finite Group Databasebeta

← #6574138

Subgroups — #6574138

Order 512.

2994 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3280C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4C22×#442C211yesmaximal, characteristic, complemented
5#36214C211yesmaximal, characteristic, complemented
6#36153C211yesmaximal, characteristic, complemented
7#33184C211yesmaximal, characteristic, complemented
8#32908C211yesmaximal, characteristic, complemented
9#32905C211yesmaximal, characteristic, complemented
10#28479C211yesmaximal, characteristic, complemented
11#28237C211yesmaximal, characteristic, complemented
12#25425C211yesmaximal, characteristic, complemented
13#25421C211yesmaximal, characteristic, complemented
14#25174C211yesmaximal, characteristic, complemented
15#25172C211yesmaximal, characteristic, complemented
16#25170C211yesmaximal, characteristic, complemented
17#25170C211yesmaximal, characteristic, complemented
18#24783C211yesmaximal, characteristic, complemented
19#24776C211yesmaximal, characteristic, complemented
20#24745C211yesmaximal, characteristic, complemented
21#24738C211yesmaximal, characteristic, complemented
22#24434C211yesmaximal, characteristic, complemented
23#24432C211yesmaximal, characteristic, complemented
24#24426C211yesmaximal, characteristic, complemented
25#24426C211yesmaximal, characteristic, complemented
26#24257C211yesmaximal, characteristic, complemented
27#24249C211yesmaximal, characteristic, complemented
28#22676C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22438C211yesmaximal, characteristic, complemented
31#21489C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C23×D8C2211yescharacteristic
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×D42C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic, complemented
43#3280—28no—
44#3267—28no—
45#3264—28no—
46C2×#497C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic
48C2×#495C2211yescharacteristic, complemented
49C2×#470C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic
51C2×#467C2211yescharacteristic, complemented
52C2×#467C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#465C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#461C2211yescharacteristic, complemented
63C2×#461C2211yescharacteristic, complemented
64C2×#459C2211yescharacteristic
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic
72C2×#450C2211yescharacteristic
73C2×#450C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#447C2211yescharacteristic
76C2×#447C2211yescharacteristic
77C2×#442—28no—
78C2×#442C2211yescharacteristic
79C2×#442C2211yescharacteristic
80C2×#442C2211yescharacteristic
81C2×#442C2211yescharacteristic
82C2×#442C2211yescharacteristic
83C2×#442C2211yescharacteristic, complemented
84C2×#442C2211yescharacteristic, complemented
85C2×#442C2211yescharacteristic, complemented
86C2×#442C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic
88C2×#435C2211yescharacteristic
89C2×#435C2211yescharacteristic, complemented
90C2×C8×D4C2211yescharacteristic, complemented
91C22×#106C2211yescharacteristic, complemented
92C22×#102C2211yescharacteristic
93C22×#102C2211yescharacteristic, complemented
94C22×#97C2211yescharacteristic, complemented
95#2857C2211yescharacteristic, complemented
96#2850C2211yescharacteristic
97#2847—21no—
98#2847—21no—
99#2547C2211yescharacteristic, complemented
100#2544C2211yescharacteristic, complemented
101#2543—21no—
102#2537C2211yescharacteristic, complemented
103#2535C2211yescharacteristic, complemented
104#2534—21no—
105#2486—21no—
106#2428C2211yescharacteristic, complemented
107#2427C2211yescharacteristic, complemented
108#2427C2211yescharacteristic, complemented
109#2427C2211yescharacteristic, complemented
110#2425—21no—
111#2425—21no—
112#2425—21no—
113#2424—21no—
114#2417C2211yescharacteristic
115#2417C2211yescharacteristic
116#2417C2211yescharacteristic, complemented
117#2416—21no—
118#2416C2211yescharacteristic
119#2412—21no—
120#2412—21no—
121#2412—21no—
122#2410—21no—
123#2349C2211yescharacteristic, complemented
124D4×C4⋊C4C2211yescharacteristic, complemented
125#2339C2211yescharacteristic, complemented
126#2339C2211yescharacteristic, complemented
127#2339C2211yescharacteristic, complemented
128D4×C22⋊C4C2211yescharacteristic, complemented
129C4×#121C2211yescharacteristic
130C2×#386—21no—
131C2×#380—21no—
132#2066C2211yescharacteristic, complemented
133#2066C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2065C2211yescharacteristic, complemented
136#2042C2211yescharacteristic, complemented
137#2042C2211yescharacteristic, complemented
138#2042C2211yescharacteristic, complemented
139#2041C2211yescharacteristic, complemented
140#2035C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2033C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1971C2211yescharacteristic, complemented
159#1971C2211yescharacteristic, complemented
160#1971C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1960C2211yescharacteristic, complemented
163#1959C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1944C2211yescharacteristic, complemented
166#1941C2211yescharacteristic, complemented
167#1940C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1874C2211yescharacteristic
183#1872C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1847C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1807C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1804C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1802C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1771C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4—21no—
215C24×C4—21no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×#135—24no—
220C2×#135—24no—
221C2×#135—24no—
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8—24no—
233C22×D8—24no—
234C22×D8D418yescomplemented
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C23×C8C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245#547—24no—
246#547—42no—
247#546—24no—
248#546—24no—
249#546—24no—
250#546—24no—
251#546—42no—
252#546—42no—
253#546—42no—
254#546—42no—
255D42—24no—
256D42—42no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#124C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#123—21no—
264C2×#123—21no—
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121D411yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×C4×D4—24no—
298C2×C4×D4—24no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—42no—
304C2×C4×D4—42no—
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C22×C4⋊C4—21no—
321C22×C4⋊C4—21no—
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327C22×C22⋊C4—21no—
328C22×C22⋊C4—21no—
329C22×C22⋊C4—21no—
330C22×C22⋊C4—21no—
331C22×C42C2311yescharacteristic
332#497—24no—
333#496—24no—
334#495—24no—
335#470—24no—
336#469—24no—
337#467—24no—
338#467—42no—
339#466—24no—
340#465—24no—
341#465—24no—
342#465—42no—
343#463—24no—
344#463—24no—
345#463—24no—
346#463—24no—
347#463—42no—
348#461—24no—
349#461—42no—
350#459—24no—
351#452—24no—
352#452—24no—
353#450—24no—
354#450—24no—
355#450—24no—
356#450—24no—
357#449—24no—
358#449—24no—
359#449—24no—
360#449—24no—
361#447—24no—
362#447—24no—
363#442—24no—
364#442—24no—
365#442—24no—
366#442—24no—
367#442—24no—
368#442—24no—
369#442—24no—
370#442—24no—
371#442D418yescomplemented
372C4×D8—24no—
373#435—24no—
374#435—24no—
375C8×D4—24no—
376C2×#107C2311yescharacteristic
377C2×#107C2311yescharacteristic
378C2×#106—24no—
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×#106C2311yescharacteristic
382C2×#106C2311yescharacteristic
383C2×#106C2311yescharacteristic
384C2×#106C2311yescharacteristic
385C2×C4⋊C8C2311yescharacteristic
386C2×C4⋊C8C2311yescharacteristic
387C2×C4⋊C8C2311yescharacteristic
388C2×C4⋊C8C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#103C2311yescharacteristic
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#102—24no—
402C2×#102—24no—
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×#97—24no—
432C2×#97C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×#97C2311yescharacteristic
435C2×#97C2311yescharacteristic
436C2×#97C2311yescharacteristic
437C2×C4×C8C2311yescharacteristic
438#398—21no—
439#398—21no—
440#398—21no—
441#397—21no—
442#397—21no—
443#397—21no—
444#397—21no—
445#397—21no—
446#397—21no—
447#396—21no—
448#396—21no—
449#396—21no—
450#396—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#392—21no—
461#392—21no—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#390D411yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389—21no—
472#389—21no—
473#389D411yescharacteristic
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#388—21no—
479#388—21no—
480#388D411yescharacteristic
481#388D411yescharacteristic
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—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#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386D411yescharacteristic
505#386D411yescharacteristic
506#385—21no—
507#385—21no—
508#385—21no—
509#385—21no—
510#384C2311yescharacteristic
511#382C2311yescharacteristic
512#381—21no—
513#381—21no—
514#381—21no—
515#380—21no—
516#380—21no—
517#380—21no—
518#380—21no—
519#380—21no—
520#380—21no—
521#380—21no—
522#380—21no—
523#380—21no—
524#380—21no—
525#380—21no—
526#380—21no—
527#380—21no—
528#380D411yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#379—21no—
534C4×C4⋊C4C2311yescharacteristic
535C4×C22⋊C4C2311yescharacteristic
536C4×C22⋊C4C2311yescharacteristic
537C2×#95—21no—
538C2×#95—21no—
539C2×#95—21no—
540C2×#95—21no—
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555C25—21no—
556C25—21no—
557C25—21no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C22×Q8C2411yescharacteristic
577C22×Q8C2411yescharacteristic
578C22×Q8C2411yescharacteristic
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—82no—
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D414yes—
615C22×D4C2×D414yes—
616C22×D4C2×D411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—44no—
640C23×C4—44no—
641C23×C4—44no—
642C23×C4—82no—
643C23×C4—82no—
644C23×C4—82no—
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650AGL(1,ℤ/8)—416no—
651#135—416no—
652C2×Q16—22no—
653C2×Q16—22no—
654C2×Q16—22no—
655C2×Q16—22no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×SD16—22no—
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—22no—
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×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—232no—
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×D8C2×D414yes—
696C2×D8C2×D414yes—
697C2×D8C2×D414yes—
698C2×D8C2×D414yes—
699C2×D8C2×D414yes—
700C2×D8#4114yes—
701C2×M16—22no—
702C2×M16—22no—
703C2×M16—22no—
704C22×C8—22no—
705C22×C8—22no—
706C22×C8—22no—
707C22×C8—22no—
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—41no—
712C22×C8C2×D414yes—
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C4⋊Q8—22no—
722C4⋊Q8—22no—
723#127—22no—
724#127—41no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—22no—
729#124—22no—
730#124—41no—
731#124—41no—
732#124—41no—
733#123—44no—
734#123—44no—
735#123—44no—
736#123—44no—
737#123—44no—
738#123—44no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—44no—
759#121—44no—
760#121—44no—
761#121—44no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—44no—
768#121—42no—
769#121—44no—
770#121—82no—
771#121—82no—
772#121—82no—
773#120—44no—
774#120—44no—
775#120—44no—
776#120—44no—
777#120—44no—
778#120—44no—
779C4×D4—22no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4C2×D414yes—
812C4×D4C2×D414yescomplemented
813C2×C4⋊C4—22no—
814C2×C4⋊C4—22no—
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—41no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4—82no—
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
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—44no—
889C2×C22⋊C4—44no—
890C2×C22⋊C4—44no—
891C2×C22⋊C4—44no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—44no—
894C2×C22⋊C4—82no—
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—22no—
906C2×C42—22no—
907C2×C42C2×D411yescharacteristic
908C2×C42C2×D411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912C2×C42C2411yescharacteristic
913#107—22no—
914#107—41no—
915#106—22no—
916#106—22no—
917#106—22no—
918#106—22no—
919#106—41no—
920#106C2×D414yescomplemented
921C4⋊C8—22no—
922C4⋊C8—22no—
923C4⋊C8—22no—
924C4⋊C8—22no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—22no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103—41no—
935#103—41no—
936#103—41no—
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—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—41no—
954#102—41no—
955#102C2×D414yes—
956#102C2×D414yescomplemented
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965#97—22no—
966#97—22no—
967#97—22no—
968#97—22no—
969#97C2×D414yescomplemented
970C4×C8—22no—
971#95—21no—
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—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995#95C2×D411yescharacteristic
996#95C2×D411yescharacteristic
997#95C2×D411yescharacteristic
998#95C2×D411yescharacteristic
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—24no—
1004C24—24no—
1005C24—21no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24C22×D411yescharacteristic
1026C24C22×D411yescharacteristic
1027C24C22×D411yescharacteristic
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—82no—
1032#41—82no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—24no—
1067C2×D4—24no—
1068C2×D4—22no—
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—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
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—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—81no—
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—816no—
1144C2×D4C22×D412yes—
1145C2×D4C22×D412yes—
1146C2×D4C22×D412yes—
1147C2×D4C22×D412yes—
1148C2×D4C22×D412yes—
1149C2×D4C22×D412yes—
1150C2×D4C2×#4112yes—
1151C2×D4C2×#4112yes—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—24no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—816no—
1237C22×C4—816no—
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
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—44no—
1253Q16—82no—
1254SD16—44no—
1255SD16—44no—
1256SD16—44no—
1257SD16—44no—
1258SD16—82no—
1259SD16—82no—
1260SD16—82no—
1261SD16—82no—
1262D8—28no—
1263D8—28no—
1264D8—28no—
1265D8—44no—
1266D8—82no—
1267D8#121116yescomplemented
1268M16—44no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—28no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—44no—
1290C2×C8—44no—
1291C2×C8C22×D412yes—
1292C2×C8C22×D412yes—
1293C2×C8C22×D412yes—
1294C2×C8C22×D412yes—
1295C2×C8C2×#4112yes—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
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—21no—
1312C4⋊C4—21no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
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—42no—
1326C4⋊C4—81no—
1327C4⋊C4—81no—
1328C4⋊C4—81no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4C22×D412yes—
1332C4⋊C4C22×D412yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
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—42no—
1375C22⋊C4—42no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C42—22no—
1384C42—22no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42C22×D412yes—
1392C42H(5,𝔽2)12yes—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—48no—
1420C23—48no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23D4212yes—
1468C23#57512yes—
1469C23#57712yes—
1470C23C23×D411yescharacteristic
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—48no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—82no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—162no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518D4C2×#12114yes—
1519D4C2×#12114yes—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—162no—
1612C2×C4—162no—
1613C2×C4—162no—
1614C2×C4D4212yes—
1615C2×C4D4212yes—
1616C2×C4D4212yes—
1617C2×C4C23×D411yescharacteristic
1618C2×C4C23×D411yescharacteristic
1619C2×C4C22×#4111yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4#58511yescharacteristic
1623C8—22no—
1624C8—22no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8C2×#12114yes—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—24no—
1638C22—24no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—816no—
1672C22—816no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
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—168no—
1689C22#326714yescomplemented
1690C22C2×D4211yescharacteristic
1691C22C2×D4211yescharacteristic
1692C22D4×#4111yescharacteristic
1693C22C2×#57511yescharacteristic
1694C22C2×#57711yescharacteristic
1695C22#358511yescharacteristic
1696C22#358511yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4C22×#12111yescharacteristic
1720C4#348811yescharacteristic
1721C4#349611yescharacteristic
1722C4#351911yescharacteristic
1723C2—24no—
1724C2—44no—
1725C2—44no—
1726C2—81no—
1727C2—81no—
1728C2—82no—
1729C2—82no—
1730C2—161no—
1731C2D4×#12111yescharacteristic
1732C2C2×#326711yescharacteristic
1733C2#6106611yescharacteristic
1734C2#6107111yescharacteristic
1735C2#6107911yescharacteristic
1736C2#6145411yescharacteristic
1737C2#6152211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3280C2semidirect
2. C2×#3267C2semidirect
3. C2×#3264C2semidirect
4. C22×#442C2semidirect
5. #36214C2semidirect
6. #36153C2semidirect
7. #33184C2semidirect
8. #32908C2semidirect
9. #32905C2semidirect
10. #28479C2semidirect
11. #28237C2semidirect
12. #25425C2semidirect
13. #25421C2semidirect
14. #25174C2semidirect
15. #25172C2semidirect
16. #25170C2semidirect
17. #25170C2semidirect
18. #24783C2semidirect
19. #24776C2semidirect
20. #24745C2semidirect
21. #24738C2semidirect
22. #24434C2semidirect
23. #24432C2semidirect
24. #24426C2semidirect
25. #24426C2semidirect
26. #24257C2semidirect
27. #24249C2semidirect
28. #22676C2semidirect
29. #22442C2semidirect
30. #22438C2semidirect
31. #21489C2semidirect
35. C2×#547C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
42. C22×C4×D4C22semidirect
46. C2×#497C22semidirect
48. C2×#495C22semidirect
49. C2×#470C22semidirect
51. C2×#467C22semidirect
52. C2×#467C22semidirect
53. C2×#466C22semidirect
56. C2×#465C22semidirect
59. C2×#463C22semidirect
60. C2×#463C22semidirect
61. C2×#463C22semidirect
62. C2×#461C22semidirect
63. C2×#461C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
73. C2×#450C22semidirect
74. C2×#450C22semidirect
83. C2×#442C22semidirect
84. C2×#442C22semidirect
85. C2×#442C22semidirect
86. C2×#442C22semidirect
89. C2×#435C22semidirect
90. C2×C8×D4C22semidirect
91. C22×#106C22semidirect
93. C22×#102C22semidirect
94. C22×#97C22semidirect
95. #2857C22semidirect
99. #2547C22semidirect
100. #2544C22semidirect
102. #2537C22semidirect
103. #2535C22semidirect
106. #2428C22semidirect
107. #2427C22semidirect
108. #2427C22semidirect
109. #2427C22semidirect
116. #2417C22semidirect
123. #2349C22semidirect
124. D4×C4⋊C4C22semidirect
125. #2339C22semidirect
126. #2339C22semidirect
127. #2339C22semidirect
128. D4×C22⋊C4C22semidirect
132. #2066C22semidirect
133. #2066C22semidirect
134. #2066C22semidirect
135. #2065C22semidirect
136. #2042C22semidirect
137. #2042C22semidirect
138. #2042C22semidirect
139. #2041C22semidirect
140. #2035C22semidirect
141. #2035C22semidirect
142. #2035C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2033C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2014C22semidirect
151. #2012C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1971C22semidirect
159. #1971C22semidirect
160. #1971C22semidirect
161. #1968C22semidirect
162. #1960C22semidirect
163. #1959C22semidirect
164. #1955C22semidirect
165. #1944C22semidirect
166. #1941C22semidirect
167. #1940C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
183. #1872C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
187. #1869C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1862C22semidirect
192. #1847C22semidirect
193. #1809C22semidirect
194. #1807C22semidirect
195. #1804C22semidirect
196. #1804C22semidirect
197. #1802C22semidirect
198. #1802C22semidirect
199. #1797C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. #1771C22semidirect
205. #1753C22semidirect
206. #1752C22semidirect
234. C22×D8D4semidirect
371. #442D4semidirect
812. C4×D4C2×D4semidirect
920. #106C2×D4semidirect
956. #102C2×D4semidirect
969. #97C2×D4semidirect
1267. D8#121semidirect
1689. C22#3267semidirect

Maximal subgroups

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

subgroupindex
C2×#32802
C2×#32672
C2×#32642
C22×#4422
#362142
#361532
#331842
#329082
#329052
#284792
#282372
#254252
#254212
#251742
#251722
#251702
#247832
#247762
#247452
#247382
#244342
#244322
#244262
#242572
#242492
#226762
#224422
#224382
#214892