Finite Group Databasebeta

← #7514127

Subgroups — #7514127

Order 512.

3232 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3011C211yesmaximal, characteristic, complemented
4C2×#3010C211yesmaximal, characteristic, complemented
5#45093C211yesmaximal, characteristic, complemented
6#36078C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#30518C211yesmaximal, characteristic, complemented
9#30457C211yesmaximal, characteristic, complemented
10#30445C211yesmaximal, characteristic, complemented
11#25782C211yesmaximal, characteristic, complemented
12#25776C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25158C211yesmaximal, characteristic, complemented
15#25150C211yesmaximal, characteristic, complemented
16#25138C211yesmaximal, characteristic, complemented
17#25134C211yesmaximal, characteristic, complemented
18#25107C211yesmaximal, characteristic, complemented
19#25103C211yesmaximal, characteristic, complemented
20#24436C211yesmaximal, characteristic, complemented
21#24428C211yesmaximal, characteristic, complemented
22#24396C211yesmaximal, characteristic, complemented
23#24390C211yesmaximal, characteristic, complemented
24#24377C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23859C211yesmaximal, characteristic, complemented
28#23852C211yesmaximal, characteristic, complemented
29#22876C211yesmaximal, characteristic, complemented
30#22872C211yesmaximal, characteristic, complemented
31#22853C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic
36C23×Q16C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic
41C2×#546C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic, complemented
43C2×#536C2211yescharacteristic, complemented
44C2×#535C2211yescharacteristic, complemented
45#3275—28no—
46#3273—28no—
47C2×#495C2211yescharacteristic
48C2×#495C2211yescharacteristic
49C2×#495C2211yescharacteristic
50C2×#470C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic
54C2×#466C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#464C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic
60C2×#463C2211yescharacteristic
61#3011—28no—
62#3010—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#451C2211yescharacteristic, complemented
75C2×#451C2211yescharacteristic, complemented
76C2×#451C2211yescharacteristic, complemented
77C2×#451C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic
88C2×#436C2211yescharacteristic
89C2×#436C2211yescharacteristic, complemented
90C2×#419C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic
93C2×#416C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2678—21no—
97#2674—21no—
98#2673—21no—
99#2670—21no—
100#2615C2211yescharacteristic
101#2614—21no—
102#2540C2211yescharacteristic
103#2491—21no—
104#2472—21no—
105#2445—21no—
106#2436C2211yescharacteristic
107#2436C2211yescharacteristic, complemented
108#2436C2211yescharacteristic, complemented
109#2436C2211yescharacteristic, complemented
110#2435C2211yescharacteristic, complemented
111#2430—21no—
112#2430—21no—
113#2430—21no—
114#2427C2211yescharacteristic, complemented
115#2426C2211yescharacteristic, complemented
116#2418—21no—
117#2415C2211yescharacteristic
118#2414C2211yescharacteristic
119#2409C2211yescharacteristic
120#2409C2211yescharacteristic, complemented
121#2409C2211yescharacteristic, complemented
122#2407C2211yescharacteristic
123#2404—21no—
124#2404—21no—
125#2404—21no—
126#2388C2211yescharacteristic
127C2×#393—21no—
128#2363C2211yescharacteristic, complemented
129#2362C2211yescharacteristic, complemented
130#2339C2211yescharacteristic
131#2339C2211yescharacteristic, complemented
132#2339C2211yescharacteristic, complemented
133#2068C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2015C2211yescharacteristic, complemented
153#2015C2211yescharacteristic, complemented
154#2015C2211yescharacteristic, complemented
155#2012C2211yescharacteristic
156#2012C2211yescharacteristic
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic
164#1999C2211yescharacteristic
165#1983C2211yescharacteristic, complemented
166#1969C2211yescharacteristic, complemented
167#1969C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1933C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1927C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic
184#1878C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic
191#1875C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1854C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C8×C22⋊C4C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8—21no—
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—42no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—24no—
235C2×AGL(1,ℤ/8)—42no—
236C2×AGL(1,ℤ/8)—42no—
237C22×Q16—24no—
238C22×Q16—42no—
239C22×Q16—42no—
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×SD16—24no—
247C22×SD16—42no—
248C22×SD16—42no—
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268#548—24no—
269#548—42no—
270#546—24no—
271#546—24no—
272#546—24no—
273#546—42no—
274#546—42no—
275#546—42no—
276#546—42no—
277#546—42no—
278#536—24no—
279#536—42no—
280#535—24no—
281#535—42no—
282C2×C4⋊Q8—21no—
283C2×#127—21no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124—21no—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#120—21no—
322C2×#120—21no—
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×D4—21no—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340C22×C22⋊C4—21no—
341C22×C22⋊C4—21no—
342#495—24no—
343#495—24no—
344#495—42no—
345#470—24no—
346#469—24no—
347#468—24no—
348#468—24no—
349#466—42no—
350#465—42no—
351#464—24no—
352#463—24no—
353#463—24no—
354#463—24no—
355#463—42no—
356#452—24no—
357#452—24no—
358#452—24no—
359#452—24no—
360#452—24no—
361#452—42no—
362#452D418yescomplemented
363#451—24no—
364#451—24no—
365#451—24no—
366#451—24no—
367#450—24no—
368#449—24no—
369#449—24no—
370#449—24no—
371#449D418yescomplemented
372#448—24no—
373#448—24no—
374#448—24no—
375#448—24no—
376#448—24no—
377#447—24no—
378#447—24no—
379C4×SD16—24no—
380C4×D8—24no—
381#436—24no—
382#436—24no—
383C2×#107C2311yescharacteristic
384C2×#107C2311yescharacteristic
385C2×#106C2311yescharacteristic
386C2×#106C2311yescharacteristic
387C2×C4⋊C8C2311yescharacteristic
388C2×C4⋊C8C2311yescharacteristic
389C2×C4⋊C8C2311yescharacteristic
390#419—24no—
391#419—24no—
392#416—24no—
393#416—24no—
394C2×#103C2311yescharacteristic
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
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×#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
426#408—24no—
427#408—24no—
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
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×C4×C8C2311yescharacteristic
440C2×C4×C8C2311yescharacteristic
441C2×C4×C8C2311yescharacteristic
442#399—21no—
443#397—21no—
444#397—21no—
445#396—21no—
446#395—21no—
447#395—21no—
448#395—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#394D411yescharacteristic
458#394D411yescharacteristic
459#394D411yescharacteristic
460#393—21no—
461#393—21no—
462#393—21no—
463#393—21no—
464#393—21no—
465#393—21no—
466#393—21no—
467#393—21no—
468#393—21no—
469#393—21no—
470#393—21no—
471#393—21no—
472#393D411yescharacteristic
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392D411yescharacteristic
480#392D411yescharacteristic
481#392D411yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390—21no—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#389—21no—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#388—21no—
501#388—21no—
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#387—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—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#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#381—21no—
532#381—21no—
533#381—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541C4×C4⋊C4—21no—
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4C2311yescharacteristic
545C4×C22⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C2×#95—21no—
548C2×#95—21no—
549C2×#95—21no—
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—
565C25—21no—
5662−1+4—416no—
5672−1+4—416no—
5682−1+4—416no—
5692−1+4—416no—
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—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
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—41no—
600C2×#41—41no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41—44no—
604C2×#41—44no—
605C2×#41—44no—
606C2×#41—44no—
607C2×#41C2×D414yes—
608C2×#41C2×D414yes—
609C22×Q8—21no—
610C22×Q8—21no—
611C22×Q8—21no—
612C22×Q8—21no—
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—22no—
622C22×Q8—22no—
623C22×Q8—22no—
624C22×Q8—22no—
625C22×Q8—22no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—41no—
632C22×Q8—41no—
633C22×Q8—41no—
634C22×Q8—41no—
635C22×Q8—44no—
636C22×Q8—44no—
637C22×Q8—44no—
638C22×Q8—41no—
639C22×Q8—41no—
640C22×Q8C2×D411yescharacteristic
641C22×Q8C2411yescharacteristic
642C22×Q8C2411yescharacteristic
643C22×Q8C2411yescharacteristic
644C22×Q8C2411yescharacteristic
645C22×Q8C2411yescharacteristic
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—22no—
651C22×D4—22no—
652C22×D4—22no—
653C22×D4—22no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—21no—
661C22×D4—21no—
662C22×D4—22no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—22no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—41no—
672C22×D4C2×D411yescharacteristic
673C22×D4C2×D411yescharacteristic
674C22×D4C2×D411yescharacteristic
675C22×D4C2×D411yescharacteristic
676C22×D4C2×D411yescharacteristic
677C22×D4C2×D411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C22×D4C2411yescharacteristic
681C22×D4C2411yescharacteristic
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698#137—416no—
699AGL(1,ℤ/8)—416no—
700AGL(1,ℤ/8)—416no—
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—41no—
711C2×Q16—41no—
712C2×Q16—41no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—416no—
719C2×Q16C2×D414yes—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
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—41no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—416no—
749C2×SD16C2×D414yes—
750C2×SD16C2×D414yes—
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8C2×D414yes—
763C2×M16—22no—
764C2×M16—22no—
765C2×M16—22no—
766C2×M16—22no—
767C2×M16—22no—
768C2×M16—22no—
769C2×M16—41no—
770C2×M16—41no—
771C2×M16—41no—
772C22×C8—22no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—22no—
776C22×C8—41no—
777C22×C8—41no—
778C22×C8C2411yescharacteristic
779C22×C8C2411yescharacteristic
780C22×C8C2411yescharacteristic
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C4⋊Q8—44no—
787#127—44no—
788#124—22no—
789#124—22no—
790#124—22no—
791#124—22no—
792#124—22no—
793#124—41no—
794#124—41no—
795#124—41no—
796#124—41no—
797#124—41no—
798#124—41no—
799#124—41no—
800#124—44no—
801#124—44no—
802#124—44no—
803#123—44no—
804#123—44no—
805#123—44no—
806#123—44no—
807#123—44no—
808#123—44no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—44no—
819C22⋊Q8—41no—
820C22⋊Q8—41no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8C2×D414yes—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—44no—
845#121—44no—
846#121C2×D414yes—
847#120—44no—
848#120—44no—
849#120—44no—
850#120—44no—
851#120—44no—
852#120—44no—
853C4×Q8—22no—
854C4×Q8—41no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—44no—
870#117—22no—
871#117—22no—
872#117—41no—
873#117—41no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
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—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
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—44no—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—44no—
940C2×C22⋊C4—44no—
941C2×C22⋊C4C2×D411yescharacteristic
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C42—21no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42C2411yescharacteristic
958C2×C42C2411yescharacteristic
959C2×C42C2411yescharacteristic
960#107—22no—
961#107—41no—
962#106—22no—
963#106—41no—
964C4⋊C8—22no—
965C4⋊C8—22no—
966C4⋊C8—41no—
967#103—22no—
968#103—22no—
969#103—22no—
970#103—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103C2×D414yes—
984#103C2×D414yes—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—41no—
993#102—41no—
994#102—41no—
995#102—41no—
996#102—41no—
997#102C2×D414yes—
998#102C2×D414yes—
999C22⋊C8—22no—
1000C22⋊C8—22no—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—41no—
1008C22⋊C8C2×D414yes—
1009C22⋊C8C2×D414yes—
1010C4×C8—22no—
1011C4×C8—22no—
1012C4×C8—41no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
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#95C2×D411yescharacteristic
1037#95C2×D411yescharacteristic
1038#95C2×D411yescharacteristic
1039#95C2×D411yescharacteristic
1040#95C2×D411yescharacteristic
1041#95C2×D411yescharacteristic
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064#41—28no—
1065#41—28no—
1066#41—44no—
1067#41—44no—
1068#41—44no—
1069#41—44no—
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—432no—
1080#41—432no—
1081#41—432no—
1082#41—44no—
1083#41—44no—
1084#41—82no—
1085#41—82no—
1086#41—82no—
1087C2×Q8—22no—
1088C2×Q8—22no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—28no—
1094C2×Q8—28no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
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—41no—
1118C2×Q8—42no—
1119C2×Q8—42no—
1120C2×Q8—42no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×Q8—42no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—432no—
1138C2×Q8—44no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—42no—
1142C2×Q8—81no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8C22×D412yes—
1146C2×Q8C22×D412yes—
1147C2×Q8C22×D412yes—
1148C2×Q8H(5,𝔽2)12yes—
1149C2×D4—24no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—21no—
1162C2×D4—21no—
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—21no—
1180C2×D4—21no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
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—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—81no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
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×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4C22×D412yes—
1238C2×D4C22×D412yes—
1239C2×D4C22×D412yes—
1240C2×D4H(5,𝔽2)12yes—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—24no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—24no—
1257C22×C4—24no—
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—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
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—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)12yes—
1322C22×C4H(5,𝔽2)12yes—
1323C22×C4C2511yescharacteristic
1324Q16—44no—
1325Q16—44no—
1326Q16—44no—
1327Q16—44no—
1328Q16—44no—
1329Q16—44no—
1330SD16—28no—
1331SD16—44no—
1332SD16—44no—
1333SD16—44no—
1334SD16—44no—
1335SD16—44no—
1336SD16—44no—
1337SD16—44no—
1338SD16—44no—
1339SD16—82no—
1340D8—28no—
1341D8—44no—
1342D8—44no—
1343D8—82no—
1344M16—44no—
1345M16—44no—
1346M16—44no—
1347C2×C8—21no—
1348C2×C8—21no—
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—44no—
1368C2×C8—44no—
1369C2×C8C22×D412yes—
1370C2×C8C22×D412yes—
1371C2×C8C22×D412yes—
1372C2×C8C22×D412yes—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
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—41no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—81no—
1398C4⋊C4—81no—
1399C4⋊C4C22×D412yes—
1400C4⋊C4C22×D412yes—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
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—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4—81no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—81no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23D4212yes—
1534C23D4212yes—
1535C23C23×D411yescharacteristic
1536Q8—22no—
1537Q8—22no—
1538Q8—22no—
1539Q8—22no—
1540Q8—22no—
1541Q8—22no—
1542Q8—22no—
1543Q8—22no—
1544Q8—44no—
1545Q8—48no—
1546Q8—48no—
1547Q8—48no—
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—
1561D4—22no—
1562D4—22no—
1563D4—22no—
1564D4—22no—
1565D4—22no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—48no—
1570D4—48no—
1571D4—48no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—84no—
1583D4—82no—
1584D4—82no—
1585D4—84no—
1586D4—84no—
1587D4—82no—
1588D4—84no—
1589D4—162no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593D4—162no—
1594D4—162no—
1595D4—162no—
1596D4D4214yes—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—48no—
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—162no—
1686C2×C4—162no—
1687C2×C4—162no—
1688C2×C4—162no—
1689C2×C4D4212yes—
1690C2×C4D4212yes—
1691C2×C4C23×D411yescharacteristic
1692C2×C4C23×D411yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4C2×H(5,𝔽2)11yescharacteristic
1695C2×C4C2×H(5,𝔽2)11yescharacteristic
1696C2×C4C2×H(5,𝔽2)11yescharacteristic
1697C8—22no—
1698C8—22no—
1699C8—22no—
1700C8—22no—
1701C8—41no—
1702C8—41no—
1703C8—41no—
1704C8—41no—
1705C22—22no—
1706C22—22no—
1707C22—24no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—42no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
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—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—168no—
1762C22—168no—
1763C22C2×D4211yescharacteristic
1764C22C2×D4211yescharacteristic
1765C22#348411yescharacteristic
1766C22#358411yescharacteristic
1767C22#358411yescharacteristic
1768C22#358411yescharacteristic
1769C22#358611yescharacteristic
1770C4—22no—
1771C4—22no—
1772C4—41no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—81no—
1787C4—81no—
1788C4—81no—
1789C4—81no—
1790C4—81no—
1791C4—81no—
1792C4C2×D4211yescharacteristic
1793C4#348411yescharacteristic
1794C4#348411yescharacteristic
1795C4#353211yescharacteristic
1796C2—42no—
1797C2—42no—
1798C2—44no—
1799C2—81no—
1800C2—81no—
1801C2—82no—
1802C2—161no—
1803C2—161no—
1804C2#5899011yescharacteristic
1805C2#6107311yescharacteristic
1806C2#6107811yescharacteristic
1807C2#6108811yescharacteristic
1808C2#6109011yescharacteristic
1809C2#6162711yescharacteristic
1810C2#6166611yescharacteristic
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×#3275C2semidirect
2. C2×#3273C2semidirect
3. C2×#3011C2semidirect
4. C2×#3010C2semidirect
5. #45093C2semidirect
6. #36078C2semidirect
7. #31061C2semidirect
8. #30518C2semidirect
9. #30457C2semidirect
10. #30445C2semidirect
11. #25782C2semidirect
12. #25776C2semidirect
13. #25762C2semidirect
14. #25158C2semidirect
15. #25150C2semidirect
16. #25138C2semidirect
17. #25134C2semidirect
18. #25107C2semidirect
19. #25103C2semidirect
20. #24436C2semidirect
21. #24428C2semidirect
22. #24396C2semidirect
23. #24390C2semidirect
24. #24377C2semidirect
25. #24373C2semidirect
26. #23863C2semidirect
27. #23859C2semidirect
28. #23852C2semidirect
29. #22876C2semidirect
30. #22872C2semidirect
31. #22853C2semidirect
33. C22×#137C22semidirect
36. C23×Q16C22semidirect
37. C23×SD16C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#536C22semidirect
44. C2×#535C22semidirect
50. C2×#470C22semidirect
56. C2×#464C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
74. C2×#451C22semidirect
75. C2×#451C22semidirect
76. C2×#451C22semidirect
77. C2×#451C22semidirect
78. C2×#448C22semidirect
79. C2×#448C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#450C22semidirect
86. C2×C4×SD16C22semidirect
89. C2×#436C22semidirect
90. C2×#419C22semidirect
91. C2×#419C22semidirect
93. C2×#416C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
107. #2436C22semidirect
108. #2436C22semidirect
109. #2436C22semidirect
110. #2435C22semidirect
114. #2427C22semidirect
115. #2426C22semidirect
120. #2409C22semidirect
121. #2409C22semidirect
128. #2363C22semidirect
129. #2362C22semidirect
131. #2339C22semidirect
132. #2339C22semidirect
133. #2068C22semidirect
134. #2066C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2035C22semidirect
144. #2035C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2015C22semidirect
153. #2015C22semidirect
154. #2015C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
165. #1983C22semidirect
166. #1969C22semidirect
167. #1969C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1933C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1927C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
184. #1878C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
191. #1875C22semidirect
192. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1854C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. C8×C22⋊C4C22semidirect
206. C8×C22⋊C4C22semidirect
362. #452D4semidirect
371. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#32732
C2×#30112
C2×#30102
#450932
#360782
#310612
#305182
#304572
#304452
#257822
#257762
#257622
#251582
#251502
#251382
#251342
#251072
#251032
#244362
#244282
#243962
#243902
#243772
#243732
#238632
#238592
#238522
#228762
#228722
#228532