Finite Group Databasebeta

← #7514283

Subgroups — #7514283

Order 512.

3295 conjugacy classes of subgroups.

The subgroup lattice has 1807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3278C211yesmaximal, characteristic, complemented
2C2×#3270C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C22×#452C211yesmaximal, characteristic, complemented
5#58998C211yesmaximal, characteristic, complemented
6#36429C211yesmaximal, characteristic
7#31061C211yesmaximal, characteristic, complemented
8#30514C211yesmaximal, characteristic, complemented
9#30474C211yesmaximal, characteristic, complemented
10#30459C211yesmaximal, characteristic, complemented
11#25790C211yesmaximal, characteristic, complemented
12#25774C211yesmaximal, characteristic, complemented
13#25755C211yesmaximal, characteristic, complemented
14#25171C211yesmaximal, characteristic, complemented
15#25151C211yesmaximal, characteristic, complemented
16#25135C211yesmaximal, characteristic, complemented
17#25128C211yesmaximal, characteristic, complemented
18#25102C211yesmaximal, characteristic, complemented
19#25080C211yesmaximal, characteristic, complemented
20#24443C211yesmaximal, characteristic, complemented
21#24431C211yesmaximal, characteristic, complemented
22#24387C211yesmaximal, characteristic, complemented
23#24381C211yesmaximal, characteristic, complemented
24#24374C211yesmaximal, characteristic, complemented
25#24360C211yesmaximal, characteristic, complemented
26#23870C211yesmaximal, characteristic, complemented
27#23868C211yesmaximal, characteristic, complemented
28#23855C211yesmaximal, characteristic, complemented
29#22871C211yesmaximal, characteristic, complemented
30#22867C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C22×#137C2211yescharacteristic, complemented
36C23×Q16C2211yescharacteristic
37C23×SD16C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic, complemented
42C2×#548C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45#3278—28no—
46#3270—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#492C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#464C2211yescharacteristic, complemented
57C2×#462C2211yescharacteristic, complemented
58C2×#462C2211yescharacteristic, complemented
59C2×#462C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61#3007—28no—
62C2×#452—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic
70C2×#452C2211yescharacteristic
71C2×#452C2211yescharacteristic
72C2×#452C2211yescharacteristic
73C2×#452C2211yescharacteristic
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#451C2211yescharacteristic
78C2×#451C2211yescharacteristic
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#441C2211yescharacteristic, complemented
87C2×C4×Q16C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C22×#103C2211yescharacteristic
93C22×#102C2211yescharacteristic
94C2×#407C2211yescharacteristic
95C22×C22⋊C8C2211yescharacteristic
96#2847—21no—
97#2847C2211yescharacteristic
98#2683—21no—
99#2677—21no—
100#2542C2211yescharacteristic, complemented
101#2449—21no—
102#2449—21no—
103#2440—21no—
104#2440—21no—
105#2437—21no—
106#2434C2211yescharacteristic
107#2434C2211yescharacteristic, complemented
108#2433—21no—
109#2433C2211yescharacteristic
110#2431—21no—
111#2431—21no—
112#2431C2211yescharacteristic
113#2431C2211yescharacteristic
114#2429C2211yescharacteristic, complemented
115#2429C2211yescharacteristic, complemented
116#2417C2211yescharacteristic
117#2417C2211yescharacteristic, complemented
118#2409C2211yescharacteristic, complemented
119#2408—21no—
120#2408C2211yescharacteristic
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic
125#2360C2211yescharacteristic
126#2360C2211yescharacteristic, complemented
127#2358—21no—
128#2341C2211yescharacteristic
129#2341C2211yescharacteristic
130Q8×C22⋊C4C2211yescharacteristic
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2035C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2016C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, complemented
152#2014C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2013C2211yescharacteristic, complemented
156#2013C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1969C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1892C2211yescharacteristic
181#1892C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1874C2211yescharacteristic
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1852C2211yescharacteristic
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic
203#1787C2211yescharacteristic, complemented
204C4×#103C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C24×C4—21no—
227C24×C4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—24no—
233C2×#137—42no—
234C2×#137—42no—
235C2×#137—42no—
236C2×#137—42no—
237C22×Q16—24no—
238C22×Q16—24no—
239C22×Q16—42no—
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×Q16C2311yescharacteristic
248C22×SD16—24no—
249C22×SD16—42no—
250C22×SD16—42no—
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×SD16C2311yescharacteristic
262C22×SD16C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268#550—24no—
269#550—42no—
270#550—42no—
271#550—42no—
272D4×Q8—24no—
273D4×Q8—24no—
274D4×Q8—42no—
275D4×Q8—42no—
276#548—24no—
277#548—42no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127—21no—
284C2×#127—21no—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#124—21no—
288C2×#124C2311yescharacteristic
289C2×C22⋊Q8—21no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—24no—
299C2×C22⋊Q8—24no—
300C2×C22⋊Q8—42no—
301C2×C22⋊Q8—42no—
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120D411yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×D4—21no—
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C22×C4⋊C4—21no—
342C22×C4⋊C4—21no—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
347#497—24no—
348#492—24no—
349#492—42no—
350#470—24no—
351#468—24no—
352#468—24no—
353#468—42no—
354#465—24no—
355#465—42no—
356#464—24no—
357#462—24no—
358#462—24no—
359#462—42no—
360#460—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#452—24no—
370#452—24no—
371#452—24no—
372#452—24no—
373#452—24no—
374#452D418yescomplemented
375#451—24no—
376#451—24no—
377#451D418yescomplemented
378#450—24no—
379#450—24no—
380#448—24no—
381#448—24no—
382#448—24no—
383#448—42no—
384#441—24no—
385C4×Q16—24no—
386#436—24no—
387#435—24no—
388C2×#107C2311yescharacteristic
389C2×#107C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#417—24no—
396#417—24no—
397C2×#103—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×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#102—24no—
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431#407—24no—
432C2×C22⋊C8—24no—
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×#97C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447#399—21no—
448#399—21no—
449#398—21no—
450#398—21no—
451#398—21no—
452#398—21no—
453#396—21no—
454#396—21no—
455#396—21no—
456#396—21no—
457#395—21no—
458#395—21no—
459#395—21no—
460#395—21no—
461#395—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#393—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#391—21no—
476#391—21no—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#389—21no—
493#389—21no—
494#389—21no—
495#389—21no—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#388—21no—
499#388—21no—
500#387—21no—
501#387—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386D411yescharacteristic
515#386D411yescharacteristic
516#386D411yescharacteristic
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385D411yescharacteristic
527#385D411yescharacteristic
528#385D411yescharacteristic
529#384—21no—
530#380—21no—
531#380—21no—
532#380—21no—
533#380—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379D411yescharacteristic
541C4×C4⋊C4C2311yescharacteristic
542C4×C22⋊C4—21no—
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25C2×D411yescharacteristic
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—44no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—44no—
601C2×#41—416no—
602C2×#41—416no—
603C2×#41—416no—
604C2×#41—416no—
605C2×#41C2×D414yes—
606C22×Q8—21no—
607C22×Q8—21no—
608C22×Q8—21no—
609C22×Q8—21no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—41no—
622C22×Q8—41no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—41no—
632C22×Q8—41no—
633C22×Q8C2×D414yes—
634C22×Q8C2411yescharacteristic
635C22×Q8C2411yescharacteristic
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×Q8C2411yescharacteristic
639C22×Q8C2411yescharacteristic
640C22×D4—22no—
641C22×D4—22no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—22no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—22no—
659C22×D4—41no—
660C22×D4—41no—
661C22×D4—44no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4C2×D411yescharacteristic
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C22×D4C2411yescharacteristic
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—22no—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—44no—
688C23×C4—44no—
689C23×C4—44no—
690C23×C4C2×D411yescharacteristic
691C23×C4C2×D411yescharacteristic
692C23×C4C2×D411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697#137—416no—
698#137—416no—
699#137—416no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
704C2×Q16—22no—
705C2×Q16—22no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—22no—
714C2×Q16—22no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16—41no—
720C2×Q16—41no—
721C2×Q16—416no—
722C2×Q16C2×D414yes—
723C2×Q16C2×D414yes—
724C2×Q16C2×D414yes—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—22no—
742C2×SD16—22no—
743C2×SD16—22no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×SD16—41no—
754C2×SD16—41no—
755C2×SD16—41no—
756C2×SD16—41no—
757C2×SD16—41no—
758C2×SD16—41no—
759C2×SD16—41no—
760C2×SD16—416no—
761C2×SD16C2×D414yes—
762C2×M16—22no—
763C2×M16—22no—
764C2×M16—22no—
765C2×M16—22no—
766C2×M16—22no—
767C2×M16—22no—
768C2×M16—41no—
769C2×M16—41no—
770C2×M16—41no—
771C22×C8—22no—
772C22×C8—22no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—41no—
776C22×C8—41no—
777C22×C8C2411yescharacteristic
778C22×C8C2411yescharacteristic
779C22×C8C2411yescharacteristic
780C22×C8C2411yescharacteristic
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C4⋊Q8—22no—
786C4⋊Q8—22no—
787C4⋊Q8—41no—
788C4⋊Q8—41no—
789C4⋊Q8—41no—
790C4⋊Q8—41no—
791C4⋊Q8—44no—
792C4⋊Q8—44no—
793#127—22no—
794#127—22no—
795#127—41no—
796#127—41no—
797#127—44no—
798#127—44no—
799#124—22no—
800#124—41no—
801#124—44no—
802C22⋊Q8—22no—
803C22⋊Q8—22no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8C2×D414yes—
832C22⋊Q8C2×D414yes—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—44no—
840#121—44no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—44no—
846#121—44no—
847#121—44no—
848#120—24no—
849#120—44no—
850#120—82no—
851#120—82no—
852#120—82no—
853C4×Q8—22no—
854C4×Q8—22no—
855C4×Q8—22no—
856C4×Q8—22no—
857C4×Q8—22no—
858C4×Q8—41no—
859C4×Q8—41no—
860C4×Q8—41no—
861C4×Q8—41no—
862C4×Q8—41no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—22no—
877C2×C4⋊C4—22no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—21no—
964C2×C42—21no—
965C2×C42—21no—
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969#107—22no—
970#107—41no—
971#106—22no—
972#106—41no—
973C4⋊C8—22no—
974C4⋊C8—22no—
975C4⋊C8—41no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103C2×D414yes—
994#103C2×D414yes—
995#103C2×D414yes—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—41no—
1006#102—41no—
1007#102C2×D414yes—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—41no—
1017C22⋊C8C2×D414yes—
1018C22⋊C8C2×D414yes—
1019#97—22no—
1020C4×C8—22no—
1021C4×C8—41no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95C2×D411yescharacteristic
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047C24—22no—
1048C24—21no—
1049C24—21no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—21no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—81no—
1063C24—81no—
1064C24C22×D411yescharacteristic
1065C24C22×D411yescharacteristic
1066C24C22×D411yescharacteristic
1067C24C22×D411yescharacteristic
1068#41—28no—
1069#41—28no—
1070#41—44no—
1071#41—44no—
1072#41—44no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—432no—
1083#41—432no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—82no—
1088#41—82no—
1089#41—82no—
1090C2×Q8—24no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—28no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—44no—
1138C2×Q8—81no—
1139C2×Q8—81no—
1140C2×Q8—81no—
1141C2×Q8—82no—
1142C2×Q8—82no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8—82no—
1146C2×Q8—82no—
1147C2×Q8—82no—
1148C2×Q8C22×D412yes—
1149C2×Q8C22×D412yes—
1150C2×Q8C22×D412yes—
1151C2×Q8C22×D412yes—
1152C2×Q8C22×D412yes—
1153C2×Q8H(5,𝔽2)12yes—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—432no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4C22×D412yes—
1230C2×D4H(5,𝔽2)12yes—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—432no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4—81no—
1310C22×C4—81no—
1311C22×C4C22×D411yescharacteristic
1312C22×C4C22×D411yescharacteristic
1313C22×C4C22×D411yescharacteristic
1314C22×C4C22×D411yescharacteristic
1315C22×C4C22×D411yescharacteristic
1316C22×C4C22×D411yescharacteristic
1317C22×C4C22×D411yescharacteristic
1318C22×C4C22×D411yescharacteristic
1319C22×C4C22×D412yes—
1320C22×C4C22×D412yes—
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4H(5,𝔽2)12yes—
1324C22×C4H(5,𝔽2)12yes—
1325C22×C4C2511yescharacteristic
1326Q16—28no—
1327Q16—28no—
1328Q16—44no—
1329Q16—44no—
1330Q16—44no—
1331Q16—44no—
1332Q16—44no—
1333Q16—44no—
1334SD16—44no—
1335SD16—44no—
1336SD16—44no—
1337SD16—44no—
1338SD16—44no—
1339SD16—44no—
1340SD16—44no—
1341SD16—44no—
1342SD16—44no—
1343SD16—44no—
1344SD16—82no—
1345SD16—82no—
1346M16—44no—
1347M16—44no—
1348M16—44no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—44no—
1370C2×C8—44no—
1371C2×C8C22×D412yes—
1372C2×C8C22×D412yes—
1373C2×C8C22×D412yes—
1374C2×C8C22×D412yes—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—41no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—81no—
1413C4⋊C4—81no—
1414C4⋊C4—81no—
1415C4⋊C4—81no—
1416C4⋊C4C22×D412yes—
1417C4⋊C4C22×D412yes—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4—81no—
1455C22⋊C4—81no—
1456C22⋊C4—81no—
1457C22⋊C4—81no—
1458C22⋊C4—81no—
1459C22⋊C4#13714yescomplemented
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—81no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—48no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—44no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—82no—
1523C23—82no—
1524C23—82no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23D4212yes—
1532C23D4212yes—
1533C23C2×#13712yes—
1534C23#57712yes—
1535C23C23×D411yescharacteristic
1536Q8—22no—
1537Q8—22no—
1538Q8—22no—
1539Q8—22no—
1540Q8—22no—
1541Q8—22no—
1542Q8—22no—
1543Q8—22no—
1544Q8—22no—
1545Q8—48no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—41no—
1552Q8—41no—
1553Q8—41no—
1554Q8—41no—
1555Q8—41no—
1556Q8—41no—
1557Q8—41no—
1558Q8—41no—
1559Q8—41no—
1560Q8—84no—
1561Q8—84no—
1562Q8—84no—
1563Q8D4214yes—
1564D4—22no—
1565D4—22no—
1566D4—22no—
1567D4—22no—
1568D4—44no—
1569D4—48no—
1570D4—48no—
1571D4—48no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—82no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—162no—
1589D4—162no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593D4—162no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—48no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4D4212yes—
1690C2×C4D4212yes—
1691C2×C4C2×#13712yes—
1692C2×C4C2×#13712yes—
1693C2×C4C23×D411yescharacteristic
1694C2×C4C23×D411yescharacteristic
1695C2×C4C2×H(5,𝔽2)11yescharacteristic
1696C2×C4C2×H(5,𝔽2)11yescharacteristic
1697C2×C4C2×H(5,𝔽2)11yescharacteristic
1698C2×C4C2×H(5,𝔽2)11yescharacteristic
1699C8—22no—
1700C8—22no—
1701C8—22no—
1702C8—22no—
1703C8—41no—
1704C8—41no—
1705C8—41no—
1706C8—41no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—88no—
1741C22—816no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22#327814yescomplemented
1758C22C2×D4211yescharacteristic
1759C22C2×D4211yescharacteristic
1760C22#348411yescharacteristic
1761C22C22×#13711yescharacteristic
1762C22C2×#57711yescharacteristic
1763C22#358411yescharacteristic
1764C22#358611yescharacteristic
1765C4—22no—
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—22no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—41no—
1781C4—81no—
1782C4—81no—
1783C4—81no—
1784C4—81no—
1785C4—81no—
1786C4—81no—
1787C4—81no—
1788C4C2×D4211yescharacteristic
1789C4#348411yescharacteristic
1790C4#348411yescharacteristic
1791C4#353211yescharacteristic
1792C2—24no—
1793C2—42no—
1794C2—81no—
1795C2—81no—
1796C2—82no—
1797C2—82no—
1798C2—161no—
1799C2#5899011yescharacteristic
1800C2C2×#327811yescharacteristic
1801C2#6105511yescharacteristic
1802C2D4×#13711yescharacteristic
1803C2#6107811yescharacteristic
1804C2#6160711yescharacteristic
1805C2#6161811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36429C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3278C2semidirect
2. C2×#3270C2semidirect
3. C2×#3007C2semidirect
4. C22×#452C2semidirect
5. #58998C2semidirect
7. #31061C2semidirect
8. #30514C2semidirect
9. #30474C2semidirect
10. #30459C2semidirect
11. #25790C2semidirect
12. #25774C2semidirect
13. #25755C2semidirect
14. #25171C2semidirect
15. #25151C2semidirect
16. #25135C2semidirect
17. #25128C2semidirect
18. #25102C2semidirect
19. #25080C2semidirect
20. #24443C2semidirect
21. #24431C2semidirect
22. #24387C2semidirect
23. #24381C2semidirect
24. #24374C2semidirect
25. #24360C2semidirect
26. #23870C2semidirect
27. #23868C2semidirect
28. #23855C2semidirect
29. #22871C2semidirect
30. #22867C2semidirect
31. #22848C2semidirect
35. C22×#137C22semidirect
41. C2×D4×Q8C22semidirect
47. C2×#497C22semidirect
48. C2×#492C22semidirect
49. C2×#492C22semidirect
50. C2×#470C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
56. C2×#464C22semidirect
57. C2×#462C22semidirect
58. C2×#462C22semidirect
59. C2×#462C22semidirect
60. C2×#460C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
79. C2×#451C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
86. C2×#441C22semidirect
87. C2×C4×Q16C22semidirect
88. C2×#436C22semidirect
100. #2542C22semidirect
107. #2434C22semidirect
114. #2429C22semidirect
115. #2429C22semidirect
117. #2417C22semidirect
118. #2409C22semidirect
126. #2360C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2035C22semidirect
144. #2035C22semidirect
145. #2035C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2016C22semidirect
149. #2015C22semidirect
150. #2014C22semidirect
151. #2014C22semidirect
152. #2014C22semidirect
153. #2013C22semidirect
154. #2013C22semidirect
155. #2013C22semidirect
156. #2013C22semidirect
157. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1982C22semidirect
166. #1973C22semidirect
167. #1969C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1936C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1894C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1878C22semidirect
186. #1878C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1853C22semidirect
199. #1851C22semidirect
201. #1788C22semidirect
203. #1787C22semidirect
204. C4×#103C22semidirect
205. #1753C22semidirect
374. #452D4semidirect
377. #451D4semidirect
1459. C22⋊C4#137semidirect
1757. C22#3278semidirect

Maximal subgroups

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

subgroupindex
C2×#32782
C2×#32702
C2×#30072
C22×#4522
#589982
#364292
#310612
#305142
#304742
#304592
#257902
#257742
#257552
#251712
#251512
#251352
#251282
#251022
#250802
#244432
#244312
#243872
#243812
#243742
#243602
#238702
#238682
#238552
#228712
#228672
#228482