Finite Group Databasebeta

← #7514235

Subgroups — #7514235

Order 512.

3333 conjugacy classes of subgroups.

The subgroup lattice has 1865 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3284C211yesmaximal, characteristic, complemented
2C2×#3271C211yesmaximal, characteristic, complemented
3C2×#3012C211yesmaximal, characteristic, complemented
4C2×#3009C211yesmaximal, characteristic, complemented
5#45091C211yesmaximal, characteristic, complemented
6#36091C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#30500C211yesmaximal, characteristic, complemented
9#30460C211yesmaximal, characteristic, complemented
10#30456C211yesmaximal, characteristic, complemented
11#25791C211yesmaximal, characteristic, complemented
12#25774C211yesmaximal, characteristic, complemented
13#25755C211yesmaximal, characteristic, complemented
14#25171C211yesmaximal, characteristic, complemented
15#25155C211yesmaximal, characteristic, complemented
16#25120C211yesmaximal, characteristic, complemented
17#25112C211yesmaximal, characteristic, complemented
18#25097C211yesmaximal, characteristic, complemented
19#25080C211yesmaximal, characteristic, complemented
20#24443C211yesmaximal, characteristic, complemented
21#24427C211yesmaximal, characteristic, complemented
22#24397C211yesmaximal, characteristic, complemented
23#24396C211yesmaximal, characteristic, complemented
24#24374C211yesmaximal, characteristic, complemented
25#24363C211yesmaximal, characteristic, complemented
26#23864C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#23857C211yesmaximal, characteristic, complemented
29#22877C211yesmaximal, characteristic, complemented
30#22867C211yesmaximal, characteristic, complemented
31#22847C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic
36C22×#135C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#548C2211yescharacteristic, complemented
42C2×#547C2211yescharacteristic, complemented
43C2×#537C2211yescharacteristic
44C2×#536C2211yescharacteristic
45#3284—28no—
46#3271—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#492C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#462C2211yescharacteristic, complemented
58C2×#462C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3012—28no—
62#3009—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic, complemented
70C2×#452C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic
79C2×#450C2211yescharacteristic
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#441C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#418C2211yescharacteristic
92C2×#416C2211yescharacteristic
93C22×#102C2211yescharacteristic
94C2×#408C2211yescharacteristic
95C2×#408C2211yescharacteristic
96#2682—21no—
97#2674—21no—
98#2672—21no—
99#2671—21no—
100#2615—21no—
101#2615C2211yescharacteristic
102#2555—21no—
103#2542C2211yescharacteristic, complemented
104#2443—21no—
105#2440—21no—
106#2434C2211yescharacteristic, complemented
107#2433—21no—
108#2433—21no—
109#2433—21no—
110#2433C2211yescharacteristic
111#2433C2211yescharacteristic
112#2433C2211yescharacteristic
113#2432C2211yescharacteristic, complemented
114#2429C2211yescharacteristic, complemented
115#2427C2211yescharacteristic, complemented
116#2422—21no—
117#2417C2211yescharacteristic, complemented
118#2415C2211yescharacteristic, complemented
119#2408—21no—
120#2408—21no—
121#2408—21no—
122#2408C2211yescharacteristic
123#2408C2211yescharacteristic
124#2408C2211yescharacteristic
125#2407C2211yescharacteristic, complemented
126#2388—21no—
127#2388C2211yescharacteristic
128#2363C2211yescharacteristic, complemented
129#2360C2211yescharacteristic, complemented
130#2341C2211yescharacteristic
131#2341C2211yescharacteristic
132#2341C2211yescharacteristic
133#2065C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2041C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1853C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204C4×#103C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—42no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—42no—
233C2×AGL(1,ℤ/8)—42no—
234C2×#135—24no—
235C2×#135—24no—
236C2×#135—24no—
237C2×#135—24no—
238C2×#135—42no—
239C2×#135—42no—
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×SD16—24no—
244C22×SD16—42no—
245C22×SD16—42no—
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
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
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268#550—24no—
269#550—24no—
270#550—42no—
271#550—42no—
272#550—42no—
273#550—42no—
274#548—24no—
275#548—42no—
276#547—24no—
277#547—42no—
278#537—24no—
279#537—42no—
280#536—24no—
281#536—42no—
282C2×C4⋊Q8—21no—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127—21no—
286C2×#127—21no—
287C2×#127—21no—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#124—21no—
292C2×#124—21no—
293C2×#124C2311yescharacteristic
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×C22⋊Q8—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×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4—21no—
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C22×C4⋊C4—21no—
350C22×C4⋊C4C2311yescharacteristic
351#496—24no—
352#492—24no—
353#492—42no—
354#469—24no—
355#468—42no—
356#465—24no—
357#465—24no—
358#465—24no—
359#465—42no—
360#464—24no—
361#462—24no—
362#462—42no—
363#460—24no—
364#459—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#452—24no—
370#452—24no—
371#452—24no—
372#452D418yescomplemented
373#450—24no—
374#450—24no—
375#450—24no—
376#450—24no—
377#450—24no—
378#450—24no—
379#449—24no—
380#449—24no—
381#449—24no—
382#449—24no—
383#449—42no—
384#449D418yescomplemented
385#448—24no—
386#447—24no—
387#447—24no—
388#441—24no—
389C4×SD16—24no—
390#435—24no—
391C8×D4—24no—
392C2×#107C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×#106C2311yescharacteristic
395C2×#106C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398C2×C4⋊C8C2311yescharacteristic
399#418—24no—
400#417—24no—
401#416—24no—
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×#102—24no—
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435#408—24no—
436#408—24no—
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×C22⋊C8C2311yescharacteristic
448C2×#97C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450C2×C4×C8C2311yescharacteristic
451#399—21no—
452#399—21no—
453#398—21no—
454#398—21no—
455#397—21no—
456#397—21no—
457#396—21no—
458#396—21no—
459#395—21no—
460#395—21no—
461#395D411yescharacteristic
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394D411yescharacteristic
471#394D411yescharacteristic
472#394D411yescharacteristic
473#393—21no—
474#393D411yescharacteristic
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392—21no—
488#392D411yescharacteristic
489#392D411yescharacteristic
490#392D411yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390—21no—
495#390—21no—
496#390—21no—
497#390—21no—
498#390—21no—
499#390—21no—
500#390—21no—
501#390—21no—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#389—21no—
510#389—21no—
511#389—21no—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#388—21no—
515#388—21no—
516#388—21no—
517#387—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#384—21no—
529#380—21no—
530#380—21no—
531#380—21no—
532#380—21no—
533#380—21no—
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#379—21no—
539#379—21no—
540#379—21no—
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—
565C25—21no—
566C25—21no—
567H(5,𝔽2)—416no—
568H(5,𝔽2)—416no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
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—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—22no—
592C2×#41—22no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—41no—
607C2×#41—44no—
608C2×#41—44no—
609C2×#41—44no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41C2×D414yes—
615C2×#41C2×D414yes—
616C22×Q8—21no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—41no—
621C22×Q8—41no—
622C22×Q8—41no—
623C22×Q8C2×D411yescharacteristic
624C22×Q8C2411yescharacteristic
625C22×Q8C2411yescharacteristic
626C22×Q8C2411yescharacteristic
627C22×Q8C2411yescharacteristic
628C22×D4—22no—
629C22×D4—22no—
630C22×D4—22no—
631C22×D4—22no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—22no—
637C22×D4—22no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—22no—
649C22×D4—22no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—22no—
660C22×D4—22no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—44no—
670C22×D4—44no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—44no—
676C22×D4—44no—
677C22×D4—44no—
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2×D411yescharacteristic
682C22×D4C2×D411yescharacteristic
683C22×D4C2×D411yescharacteristic
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702#137—416no—
703AGL(1,ℤ/8)—416no—
704#135—416no—
705#135—416no—
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×Q16C2×D414yes—
715C2×SD16—22no—
716C2×SD16—22no—
717C2×SD16—22no—
718C2×SD16—22no—
719C2×SD16—22no—
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—41no—
736C2×SD16—41no—
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—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—416no—
753C2×SD16C2×D414yes—
754C2×SD16C2×D414yes—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8C2×D414yes—
767C2×M16—22no—
768C2×M16—22no—
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—41no—
772C2×M16—41no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—22no—
776C22×C8—22no—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8—41no—
780C22×C8—41no—
781C22×C8—41no—
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C4⋊Q8—22no—
791C4⋊Q8—41no—
792C4⋊Q8—41no—
793C4⋊Q8—41no—
794C4⋊Q8—44no—
795#127—22no—
796#127—22no—
797#127—22no—
798#127—41no—
799#127—41no—
800#127—41no—
801#127—44no—
802#127—44no—
803#127—44no—
804#124—22no—
805#124—41no—
806#124—44no—
807#124—44no—
808#123—44no—
809#123—44no—
810#123—44no—
811#123—44no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8C2×D414yes—
830#121—22no—
831#121—22no—
832#121—22no—
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—44no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121C2×D414yes—
857#120—82no—
858#120—82no—
859#120—82no—
860#120—82no—
861#120—82no—
862#120—82no—
863#120—82no—
864#120—82no—
865#120—82no—
866C4×Q8—22no—
867C4×Q8—22no—
868C4×Q8—22no—
869C4×Q8—22no—
870C4×Q8—41no—
871C4×Q8—41no—
872C4×Q8—41no—
873C4×Q8—41no—
874C4×D4—22no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—41no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886#117—22no—
887#117—41no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—22no—
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—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—41no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
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—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C42—21no—
971C2×C42—21no—
972C2×C42—21no—
973C2×C42—21no—
974C2×C42—21no—
975C2×C42—21no—
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979#107—41no—
980#106—22no—
981#106—22no—
982#106—41no—
983C4⋊C8—22no—
984C4⋊C8—22no—
985C4⋊C8—41no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—41no—
993#103—41no—
994#103—41no—
995#103—41no—
996#103—41no—
997#103C2×D414yes—
998#103C2×D414yes—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102C2×D414yes—
1017#102C2×D414yes—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—41no—
1027C22⋊C8C2×D414yes—
1028C22⋊C8C2×D414yes—
1029#97—22no—
1030C4×C8—22no—
1031C4×C8—41no—
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#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—42no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24C22×D411yescharacteristic
1078C24C22×D411yescharacteristic
1079C24C22×D411yescharacteristic
1080C24C22×D411yescharacteristic
1081#41—28no—
1082#41—28no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—44no—
1095#41—44no—
1096#41—44no—
1097#41—44no—
1098#41—432no—
1099#41—44no—
1100#41—44no—
1101#41—44no—
1102#41—82no—
1103#41—82no—
1104#41—82no—
1105#41—82no—
1106#41—82no—
1107#41—82no—
1108#41—82no—
1109#41—82no—
1110C2×Q8—22no—
1111C2×Q8—22no—
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—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—41no—
1133C2×Q8—42no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—42no—
1137C2×Q8—81no—
1138C2×Q8—82no—
1139C2×Q8—82no—
1140C2×Q8C22×D412yes—
1141C2×Q8C22×D412yes—
1142C2×Q8C22×D412yes—
1143C2×Q8H(5,𝔽2)12yes—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—21no—
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—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
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—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—432no—
1228C2×D4—432no—
1229C2×D4—432no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4C22×D412yes—
1273C2×D4C22×D412yes—
1274C2×D4C22×D412yes—
1275C2×D4H(5,𝔽2)12yes—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—24no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—81no—
1329C22×C4—81no—
1330C22×C4—81no—
1331C22×C4—81no—
1332C22×C4—81no—
1333C22×C4—81no—
1334C22×C4C22×D411yescharacteristic
1335C22×C4C22×D411yescharacteristic
1336C22×C4C22×D411yescharacteristic
1337C22×C4C22×D411yescharacteristic
1338C22×C4C22×D411yescharacteristic
1339C22×C4C22×D411yescharacteristic
1340C22×C4C22×D411yescharacteristic
1341C22×C4C22×D411yescharacteristic
1342C22×C4C22×D412yes—
1343C22×C4C22×D412yes—
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D411yescharacteristic
1346C22×C4H(5,𝔽2)12yes—
1347C22×C4H(5,𝔽2)12yes—
1348C22×C4C2511yescharacteristic
1349Q16—28no—
1350Q16—44no—
1351Q16—44no—
1352SD16—28no—
1353SD16—44no—
1354SD16—44no—
1355SD16—44no—
1356SD16—44no—
1357SD16—44no—
1358SD16—44no—
1359SD16—44no—
1360SD16—44no—
1361SD16—44no—
1362SD16—44no—
1363SD16—82no—
1364SD16—82no—
1365D8—44no—
1366D8—44no—
1367D8—44no—
1368D8—44no—
1369M16—44no—
1370M16—44no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—44no—
1392C2×C8—44no—
1393C2×C8—44no—
1394C2×C8C22×D412yes—
1395C2×C8C22×D412yes—
1396C2×C8C22×D412yes—
1397C2×C8C22×D412yes—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—41no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—81no—
1429C4⋊C4—81no—
1430C4⋊C4—81no—
1431C4⋊C4—81no—
1432C4⋊C4C22×D412yes—
1433C4⋊C4C22×D412yes—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—81no—
1474C22⋊C4—81no—
1475C22⋊C4—81no—
1476C22⋊C4—81no—
1477C22⋊C4—81no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C22⋊C4—81no—
1483C22⋊C4—81no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—81no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—48no—
1527C23—48no—
1528C23—48no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—162no—
1561C23—162no—
1562C23—162no—
1563C23—162no—
1564C23—162no—
1565C23—162no—
1566C23—162no—
1567C23—162no—
1568C23—162no—
1569C23—162no—
1570C23—162no—
1571C23—162no—
1572C23—162no—
1573C23—162no—
1574C23—162no—
1575C23—162no—
1576C23—162no—
1577C23—162no—
1578C23D4212yes—
1579C23D4212yes—
1580C23C23×D411yescharacteristic
1581Q8—22no—
1582Q8—22no—
1583Q8—22no—
1584Q8—22no—
1585Q8—22no—
1586Q8—44no—
1587Q8—41no—
1588Q8—41no—
1589Q8—41no—
1590Q8—41no—
1591Q8—41no—
1592Q8—41no—
1593Q8—41no—
1594Q8—41no—
1595Q8—41no—
1596Q8—41no—
1597Q8—84no—
1598Q8D4214yes—
1599D4—22no—
1600D4—22no—
1601D4—22no—
1602D4—22no—
1603D4—22no—
1604D4—22no—
1605D4—22no—
1606D4—22no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—48no—
1617D4—41no—
1618D4—41no—
1619D4—41no—
1620D4—41no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—82no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—82no—
1634D4—84no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—162no—
1639D4—162no—
1640D4—162no—
1641D4—162no—
1642D4—162no—
1643D4—162no—
1644D4—162no—
1645D4—162no—
1646D4—162no—
1647D4—162no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—162no—
1732C2×C4D4212yes—
1733C2×C4D4212yes—
1734C2×C4#57712yes—
1735C2×C4#57712yes—
1736C2×C4C23×D411yescharacteristic
1737C2×C4C23×D411yescharacteristic
1738C2×C4C2×H(5,𝔽2)11yescharacteristic
1739C2×C4C2×H(5,𝔽2)11yescharacteristic
1740C2×C4C2×H(5,𝔽2)11yescharacteristic
1741C2×C4C2×H(5,𝔽2)11yescharacteristic
1742C8—22no—
1743C8—22no—
1744C8—22no—
1745C8—22no—
1746C8—41no—
1747C8—41no—
1748C8—41no—
1749C8—41no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—42no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—168no—
1814C22—168no—
1815C22—168no—
1816C22C2×D4211yescharacteristic
1817C22C2×D4211yescharacteristic
1818C22#348411yescharacteristic
1819C22C2×#57711yescharacteristic
1820C22C2×#57711yescharacteristic
1821C22#358411yescharacteristic
1822C22#358511yescharacteristic
1823C4—22no—
1824C4—22no—
1825C4—24no—
1826C4—22no—
1827C4—22no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—81no—
1838C4—81no—
1839C4—81no—
1840C4—81no—
1841C4—81no—
1842C4—81no—
1843C4—81no—
1844C4C2×D4211yescharacteristic
1845C4#348411yescharacteristic
1846C4#348411yescharacteristic
1847C4#353211yescharacteristic
1848C2—42no—
1849C2—42no—
1850C2—81no—
1851C2—81no—
1852C2—82no—
1853C2—82no—
1854C2—82no—
1855C2—82no—
1856C2—161no—
1857C2#5899011yescharacteristic
1858C2#6105511yescharacteristic
1859C2#6107411yescharacteristic
1860C2#6108711yescharacteristic
1861C2#6109511yescharacteristic
1862C2#6164011yescharacteristic
1863C2#6168911yescharacteristic
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×#3284C2semidirect
2. C2×#3271C2semidirect
3. C2×#3012C2semidirect
4. C2×#3009C2semidirect
5. #45091C2semidirect
6. #36091C2semidirect
7. #31057C2semidirect
8. #30500C2semidirect
9. #30460C2semidirect
10. #30456C2semidirect
11. #25791C2semidirect
12. #25774C2semidirect
13. #25755C2semidirect
14. #25171C2semidirect
15. #25155C2semidirect
16. #25120C2semidirect
17. #25112C2semidirect
18. #25097C2semidirect
19. #25080C2semidirect
20. #24443C2semidirect
21. #24427C2semidirect
22. #24397C2semidirect
23. #24396C2semidirect
24. #24374C2semidirect
25. #24363C2semidirect
26. #23864C2semidirect
27. #23858C2semidirect
28. #23857C2semidirect
29. #22877C2semidirect
30. #22867C2semidirect
31. #22847C2semidirect
36. C22×#135C22semidirect
41. C2×#548C22semidirect
42. C2×#547C22semidirect
47. C2×#496C22semidirect
48. C2×#492C22semidirect
49. C2×#492C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#465C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#462C22semidirect
58. C2×#462C22semidirect
59. C2×#460C22semidirect
60. C2×#459C22semidirect
69. C2×#452C22semidirect
70. C2×#452C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#448C22semidirect
86. C2×#441C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#435C22semidirect
89. C2×C8×D4C22semidirect
103. #2542C22semidirect
106. #2434C22semidirect
113. #2432C22semidirect
114. #2429C22semidirect
115. #2427C22semidirect
117. #2417C22semidirect
118. #2415C22semidirect
125. #2407C22semidirect
128. #2363C22semidirect
129. #2360C22semidirect
133. #2065C22semidirect
134. #2065C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2041C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2013C22semidirect
153. #2013C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1973C22semidirect
167. #1970C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1936C22semidirect
172. #1934C22semidirect
173. #1926C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1894C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
190. #1875C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1853C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1787C22semidirect
204. C4×#103C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
372. #452D4semidirect
384. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32842
C2×#32712
C2×#30122
C2×#30092
#450912
#360912
#310572
#305002
#304602
#304562
#257912
#257742
#257552
#251712
#251552
#251202
#251122
#250972
#250802
#244432
#244272
#243972
#243962
#243742
#243632
#238642
#238582
#238572
#228772
#228672
#228472