Finite Group Databasebeta

← #7513997

Subgroups — #7513997

Order 512.

3469 conjugacy classes of subgroups.

The subgroup lattice has 1901 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3287C211yesmaximal, characteristic, complemented
2C2×#3282C211yesmaximal, characteristic, complemented
3C2×#3002C211yesmaximal, characteristic, complemented
4C22×#449C211yesmaximal, characteristic, complemented
5#59003C211yesmaximal, characteristic, complemented
6#36429C211yesmaximal, characteristic, complemented
7#31060C211yesmaximal, characteristic, complemented
8#30505C211yesmaximal, characteristic, complemented
9#30458C211yesmaximal, characteristic, complemented
10#30447C211yesmaximal, characteristic, complemented
11#25779C211yesmaximal, characteristic, complemented
12#25777C211yesmaximal, characteristic, complemented
13#25759C211yesmaximal, characteristic, complemented
14#25163C211yesmaximal, characteristic, complemented
15#25159C211yesmaximal, characteristic, complemented
16#25115C211yesmaximal, characteristic, complemented
17#25108C211yesmaximal, characteristic, complemented
18#25087C211yesmaximal, characteristic, complemented
19#25080C211yesmaximal, characteristic, complemented
20#24439C211yesmaximal, characteristic, complemented
21#24435C211yesmaximal, characteristic, complemented
22#24382C211yesmaximal, characteristic, complemented
23#24378C211yesmaximal, characteristic, complemented
24#24362C211yesmaximal, characteristic, complemented
25#24356C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23857C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#22877C211yesmaximal, characteristic, complemented
30#22871C211yesmaximal, characteristic, complemented
31#22842C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#135C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic
37C23×D8C2211yescharacteristic
38C2×#550C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic, complemented
40C2×#550C2211yescharacteristic, complemented
41C2×#548C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#121C2211yescharacteristic
45#3287—28no—
46#3282—28no—
47C2×#495C2211yescharacteristic, complemented
48C2×#493C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61#3002—28no—
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449—28no—
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#451C2211yescharacteristic
82C2×#448C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×C4×Q16C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×C8×D4C2211yescharacteristic
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#416C2211yescharacteristic, complemented
91C2×#416C2211yescharacteristic, complemented
92C22×#103C2211yescharacteristic
93C22×#102C2211yescharacteristic
94C22×C22⋊C8C2211yescharacteristic
95C22×C22⋊C8C2211yescharacteristic
96#2847—21no—
97#2847C2211yescharacteristic
98#2682—21no—
99#2673—21no—
100#2541C2211yescharacteristic, complemented
101#2456—21no—
102#2433—21no—
103#2433—21no—
104#2433C2211yescharacteristic
105#2433C2211yescharacteristic
106#2431—21no—
107#2431—21no—
108#2431C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2431C2211yescharacteristic, complemented
111#2428—21no—
112#2428C2211yescharacteristic, complemented
113#2426C2211yescharacteristic, complemented
114#2424—21no—
115#2416C2211yescharacteristic
116#2414C2211yescharacteristic, complemented
117#2410—21no—
118#2408—21no—
119#2408C2211yescharacteristic
120#2407—21no—
121#2407—21no—
122#2407C2211yescharacteristic, complemented
123#2407C2211yescharacteristic, complemented
124#2407C2211yescharacteristic, complemented
125#2363C2211yescharacteristic, complemented
126#2360C2211yescharacteristic
127#2358—21no—
128#2341C2211yescharacteristic, complemented
129#2341C2211yescharacteristic, complemented
130Q8×C22⋊C4C2211yescharacteristic
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1969C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1893C2211yescharacteristic
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic
192#1869C2211yescharacteristic
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1863C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1852C2211yescharacteristic
199#1850C2211yescharacteristic
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204C4×#103C2211yescharacteristic, complemented
205C8×C22⋊C4C2211yescharacteristic
206C8×C22⋊C4C2211yescharacteristic, complemented
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
220C22×#41C2311yescharacteristic
221C22×#41C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C24×C4—21no—
228C24×C4C2311yescharacteristic
229C2×#135—24no—
230C2×#135—24no—
231C2×#135—24no—
232C2×#135—24no—
233C2×#135—24no—
234C2×#135—42no—
235C2×#135—42no—
236C2×#135—42no—
237C2×#135—42no—
238C22×Q16C2311yescharacteristic
239C22×Q16C2311yescharacteristic
240C22×SD16—24no—
241C22×SD16—24no—
242C22×SD16—42no—
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×D8—24no—
253C22×D8—42no—
254C22×D8—42no—
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C23×C8C2311yescharacteristic
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269#550—24no—
270#550—24no—
271#550—42no—
272#550—42no—
273#550—42no—
274#550—42no—
275#548—24no—
276#548—42no—
277#546—24no—
278#546—42no—
279C2×#127—21no—
280C2×#127—21no—
281C2×#127—21no—
282C2×#127—21no—
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#124—21no—
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290#525—24no—
291#525—42no—
292C2×#123—21no—
293C2×#123—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—24no—
311C2×#121—42no—
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120D411yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—21no—
339C2×C4×D4—21no—
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⋊C4C2311yescharacteristic
350C22×C22⋊C4—21no—
351C22×C22⋊C4—21no—
352#495—24no—
353#493—24no—
354#493—42no—
355#466—24no—
356#466—24no—
357#466—42no—
358#466—42no—
359#465—24no—
360#465—24no—
361#464—24no—
362#463—24no—
363#460—24no—
364#460—24no—
365#460—42no—
366#452—24no—
367#452—24no—
368#452—24no—
369#451D418yescomplemented
370#450—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449—24no—
380#449—24no—
381#449—24no—
382#449—24no—
383#449—24no—
384#449—42no—
385#449D418yescomplemented
386#448—24no—
387#447—24no—
388#447—24no—
389C4×Q16—24no—
390C4×SD16—24no—
391C8×D4—24no—
392C8×D4—24no—
393C2×#107C2311yescharacteristic
394C2×#107C2311yescharacteristic
395C2×#107C2311yescharacteristic
396C2×#106C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398C2×C4⋊C8C2311yescharacteristic
399C2×C4⋊C8C2311yescharacteristic
400#416—24no—
401#416—24no—
402C2×#103—24no—
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#102—24no—
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×C22⋊C8—24no—
437C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450C2×C4×C8C2311yescharacteristic
451C2×C4×C8C2311yescharacteristic
452#396—21no—
453#396—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—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#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#391—21no—
481#391—21no—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#390—21no—
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#389—21no—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
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#386D411yescharacteristic
523#386D411yescharacteristic
524#386D411yescharacteristic
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385D411yescharacteristic
530#385D411yescharacteristic
531#385D411yescharacteristic
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—
565C25—21no—
566C25C2×D411yescharacteristic
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—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—44no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
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—44no—
606C2×#41—44no—
607C2×#41—44no—
608C2×#41—44no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—44no—
614C2×#41—416no—
615C2×#41—416no—
616C2×#41—416no—
617C2×#41—416no—
618C2×#41C2×D414yes—
619C22×Q8—21no—
620C22×Q8—22no—
621C22×Q8—22no—
622C22×Q8—22no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8C2×D414yes—
626C22×Q8C2411yescharacteristic
627C22×Q8C2411yescharacteristic
628C22×Q8C2411yescharacteristic
629C22×D4—22no—
630C22×D4—22no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—22no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
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—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
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—21no—
663C22×D4—21no—
664C22×D4—22no—
665C22×D4—22no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—82no—
676C22×D4—82no—
677C22×D4C2×D411yescharacteristic
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2411yescharacteristic
681C22×D4C2411yescharacteristic
682C22×D4C2411yescharacteristic
683C22×D4C2411yescharacteristic
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—22no—
690C23×C4—22no—
691C23×C4—22no—
692C23×C4—22no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—41no—
701C23×C4—41no—
702C23×C4—44no—
703C23×C4—44no—
704C23×C4—44no—
705C23×C4C2×D411yescharacteristic
706C23×C4C2×D411yescharacteristic
707C23×C4C2×D411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712#135—416no—
713#135—416no—
714#135—416no—
715C2×Q16—22no—
716C2×Q16—22no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16C2×D414yescomplemented
720C2×Q16C2×D414yescomplemented
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—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—416no—
748C2×SD16C2×D414yes—
749C2×D8—22no—
750C2×D8—22no—
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—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8—416no—
776C2×D8C2×D414yes—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8—22no—
780C22×C8—22no—
781C22×C8—22no—
782C22×C8—22no—
783C22×C8—22no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8—41no—
788C22×C8—41no—
789C22×C8—41no—
790C22×C8—41no—
791C22×C8—41no—
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800#127—22no—
801#127—22no—
802#127—22no—
803#127—41no—
804#127—41no—
805#127—41no—
806#127—41no—
807#127—41no—
808#127—44no—
809#127—44no—
810#127—44no—
811#127—82no—
812#124—22no—
813#124—22no—
814#124—41no—
815#124—41no—
816#124—44no—
817#123—44no—
818#123—44no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—44no—
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—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—82no—
862#121—82no—
863#121C2×D414yes—
864#120—24no—
865#120—44no—
866#120—44no—
867#120—44no—
868#120—44no—
869#120—82no—
870#120—82no—
871#120—82no—
872#120—82no—
873C4×Q8—22no—
874C4×Q8—22no—
875C4×Q8—22no—
876C4×Q8—22no—
877C4×Q8—41no—
878C4×Q8—41no—
879C4×Q8—41no—
880C4×Q8—41no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895#117—22no—
896#117—41no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—22no—
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⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
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—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⋊C4—21no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C42—21no—
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42—21no—
979C2×C42C2411yescharacteristic
980C2×C42C2411yescharacteristic
981C2×C42C2411yescharacteristic
982#107—22no—
983#107—41no—
984#107—41no—
985#106—22no—
986C4⋊C8—22no—
987C4⋊C8—22no—
988C4⋊C8—41no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—41no—
997#103C2×D414yes—
998#103C2×D414yescomplemented
999#103C2×D414yescomplemented
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#102—41no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102C2×D414yes—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—41no—
1030C22⋊C8C2×D414yes—
1031C22⋊C8C2×D414yes—
1032C4×C8—22no—
1033C4×C8—22no—
1034C4×C8—41no—
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#95—21no—
1046#95—21no—
1047#95—21no—
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051#95C2×D411yescharacteristic
1052#95C2×D411yescharacteristic
1053#95C2×D411yescharacteristic
1054C24—22no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24C22×D411yescharacteristic
1082C24C22×D411yescharacteristic
1083C24C22×D411yescharacteristic
1084C24C22×D411yescharacteristic
1085#41—28no—
1086#41—28no—
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—44no—
1099#41—44no—
1100#41—44no—
1101#41—432no—
1102#41—432no—
1103#41—44no—
1104#41—44no—
1105#41—44no—
1106#41—44no—
1107#41—82no—
1108#41—82no—
1109#41—82no—
1110#41—82no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—82no—
1115C2×Q8—24no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—28no—
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—42no—
1131C2×Q8—42no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8C22×D412yes—
1136C2×Q8C22×D412yes—
1137C2×Q8C22×D412yes—
1138C2×Q8C22×D412yes—
1139C2×Q8H(5,𝔽2)12yes—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
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—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—41no—
1198C2×D4—41no—
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—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—432no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
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—82no—
1244C2×D4—82no—
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×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—816no—
1282C2×D4C22×D412yes—
1283C2×D4C22×D412yes—
1284C2×D4H(5,𝔽2)12yes—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—432no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D412yes—
1368C22×C4C22×D412yes—
1369C22×C4C22×D411yescharacteristic
1370C22×C4C22×D411yescharacteristic
1371C22×C4H(5,𝔽2)12yes—
1372C22×C4H(5,𝔽2)12yes—
1373C22×C4C2511yescharacteristic
1374Q16—28no—
1375Q16—44no—
1376SD16—28no—
1377SD16—44no—
1378SD16—44no—
1379SD16—44no—
1380SD16—44no—
1381SD16—44no—
1382SD16—44no—
1383SD16—44no—
1384SD16—44no—
1385D8—44no—
1386D8—44no—
1387D8—44no—
1388D8—44no—
1389D8—44no—
1390D8—44no—
1391D8—44no—
1392D8—82no—
1393D8—82no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—21no—
1414C2×C8—44no—
1415C2×C8—44no—
1416C2×C8—44no—
1417C2×C8—44no—
1418C2×C8—44no—
1419C2×C8C22×D412yes—
1420C2×C8C22×D412yes—
1421C2×C8C22×D412yes—
1422C2×C8C22×D412yes—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—41no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—81no—
1447C4⋊C4—81no—
1448C4⋊C4C22×D412yes—
1449C4⋊C4C22×D412yes—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
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—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4—81no—
1501C22⋊C4#13514yescomplemented
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—81no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—48no—
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—44no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—162no—
1599C23—162no—
1600C23—162no—
1601C23D4212yes—
1602C23D4212yes—
1603C23C2×#13512yes—
1604C23#57612yes—
1605C23C23×D411yescharacteristic
1606Q8—22no—
1607Q8—22no—
1608Q8—22no—
1609Q8—22no—
1610Q8—22no—
1611Q8—22no—
1612Q8—22no—
1613Q8—48no—
1614Q8—41no—
1615Q8—41no—
1616Q8—41no—
1617Q8—41no—
1618Q8D4214yes—
1619D4—22no—
1620D4—22no—
1621D4—22no—
1622D4—22no—
1623D4—22no—
1624D4—22no—
1625D4—44no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—44no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—41no—
1639D4—41no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—82no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—162no—
1666D4—162no—
1667D4—162no—
1668D4—162no—
1669D4—162no—
1670D4—162no—
1671D4—162no—
1672D4—162no—
1673D4—162no—
1674D4—162no—
1675D4—162no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—162no—
1761C2×C4D4212yes—
1762C2×C4D4212yes—
1763C2×C4C2×#13512yes—
1764C2×C4C2×#13512yes—
1765C2×C4C23×D411yescharacteristic
1766C2×C4C23×D411yescharacteristic
1767C2×C4C2×H(5,𝔽2)11yescharacteristic
1768C2×C4C2×H(5,𝔽2)11yescharacteristic
1769C2×C4C2×H(5,𝔽2)11yescharacteristic
1770C2×C4C2×H(5,𝔽2)11yescharacteristic
1771C8—22no—
1772C8—22no—
1773C8—22no—
1774C8—22no—
1775C8—41no—
1776C8—41no—
1777C8—41no—
1778C8—41no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—42no—
1793C22—42no—
1794C22—41no—
1795C22—41no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—42no—
1815C22—88no—
1816C22—816no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—81no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—168no—
1851C22#328714yescomplemented
1852C22C2×D4211yescharacteristic
1853C22C2×D4211yescharacteristic
1854C22#348411yescharacteristic
1855C22C22×#13511yescharacteristic
1856C22C2×#57611yescharacteristic
1857C22#358411yescharacteristic
1858C22#358511yescharacteristic
1859C4—22no—
1860C4—22no—
1861C4—24no—
1862C4—22no—
1863C4—22no—
1864C4—41no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4—41no—
1874C4—81no—
1875C4—81no—
1876C4—81no—
1877C4—81no—
1878C4—81no—
1879C4C2×D4211yescharacteristic
1880C4#348411yescharacteristic
1881C4#348411yescharacteristic
1882C4#353211yescharacteristic
1883C2—24no—
1884C2—42no—
1885C2—81no—
1886C2—81no—
1887C2—82no—
1888C2—82no—
1889C2—82no—
1890C2—161no—
1891C2—161no—
1892C2—161no—
1893C2#5899011yescharacteristic
1894C2C2×#328711yescharacteristic
1895C2D4×#13511yescharacteristic
1896C2#6107211yescharacteristic
1897C2#6107711yescharacteristic
1898C2#6156711yescharacteristic
1899C2#6163911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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×#3287C2semidirect
2. C2×#3282C2semidirect
3. C2×#3002C2semidirect
4. C22×#449C2semidirect
5. #59003C2semidirect
6. #36429C2semidirect
7. #31060C2semidirect
8. #30505C2semidirect
9. #30458C2semidirect
10. #30447C2semidirect
11. #25779C2semidirect
12. #25777C2semidirect
13. #25759C2semidirect
14. #25163C2semidirect
15. #25159C2semidirect
16. #25115C2semidirect
17. #25108C2semidirect
18. #25087C2semidirect
19. #25080C2semidirect
20. #24439C2semidirect
21. #24435C2semidirect
22. #24382C2semidirect
23. #24378C2semidirect
24. #24362C2semidirect
25. #24356C2semidirect
26. #23857C2semidirect
27. #23857C2semidirect
28. #23851C2semidirect
29. #22877C2semidirect
30. #22871C2semidirect
31. #22842C2semidirect
33. C22×#135C22semidirect
34. C22×#135C22semidirect
35. C22×#135C22semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
40. C2×#550C22semidirect
47. C2×#495C22semidirect
48. C2×#493C22semidirect
49. C2×#493C22semidirect
51. C2×#466C22semidirect
52. C2×#466C22semidirect
53. C2×#466C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#460C22semidirect
58. C2×#460C22semidirect
59. C2×#460C22semidirect
60. C2×#463C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
86. C2×C4×Q16C22semidirect
87. C2×C4×SD16C22semidirect
89. C2×C8×D4C22semidirect
90. C2×#416C22semidirect
91. C2×#416C22semidirect
100. #2541C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
110. #2431C22semidirect
112. #2428C22semidirect
113. #2426C22semidirect
116. #2414C22semidirect
122. #2407C22semidirect
123. #2407C22semidirect
124. #2407C22semidirect
125. #2363C22semidirect
128. #2341C22semidirect
129. #2341C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2034C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2011C22semidirect
154. #2011C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #1999C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1970C22semidirect
167. #1970C22semidirect
168. #1970C22semidirect
169. #1969C22semidirect
170. #1954C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
190. #1875C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1863C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
204. C4×#103C22semidirect
206. C8×C22⋊C4C22semidirect
369. #451D4semidirect
385. #449D4semidirect
719. C2×Q16C2×D4semidirect
720. C2×Q16C2×D4semidirect
998. #103C2×D4semidirect
999. #103C2×D4semidirect
1501. C22⋊C4#135semidirect
1851. C22#3287semidirect

Maximal subgroups

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

subgroupindex
C2×#32872
C2×#32822
C2×#30022
C22×#4492
#590032
#364292
#310602
#305052
#304582
#304472
#257792
#257772
#257592
#251632
#251592
#251152
#251082
#250872
#250802
#244392
#244352
#243822
#243782
#243622
#243562
#238572
#238512
#228772
#228712
#228422