Finite Group Databasebeta

← #7302764

Subgroups — #7302764

Order 512.

2191 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59035C211yesmaximal, characteristic, complemented
2#39960C211yesmaximal, characteristic, complemented
3#31656C211yesmaximal, characteristic, complemented
4#31654C211yesmaximal, characteristic, complemented
5#31559C211yesmaximal, characteristic, complemented
6#31557C211yesmaximal, characteristic, complemented
7#31393C211yesmaximal, characteristic, complemented
8#31391C211yesmaximal, characteristic, complemented
9#31262C211yesmaximal, characteristic, complemented
10#31260C211yesmaximal, characteristic, complemented
11#31044C211yesmaximal, characteristic, complemented
12#31036C211yesmaximal, characteristic, complemented
13#31010C211yesmaximal, characteristic, complemented
14#31008C211yesmaximal, characteristic, complemented
15#30107C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#28116C211yesmaximal, characteristic, complemented
18#26602C211yesmaximal, characteristic, complemented
19#26600C211yesmaximal, characteristic, complemented
20#24917C211yesmaximal, characteristic, complemented
21#24909C211yesmaximal, characteristic, complemented
22#24359C211yesmaximal, characteristic, complemented
23#24355C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24256C211yesmaximal, characteristic, complemented
26#23932C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#23849C211yesmaximal, characteristic, complemented
30#23848C211yesmaximal, characteristic, complemented
31#23333C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C2×#548C2211yescharacteristic, complemented
35C2×#546—21no—
36C2×#546C2211yescharacteristic, complemented
37C2×D42C2211yescharacteristic
38C2×#532C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic, complemented
47C2×#448C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#442C2211yescharacteristic, complemented
54C2×#440C2211yescharacteristic, complemented
55#2850C2211yescharacteristic, complemented
56#2688—21no—
57#2686—21no—
58#2684—21no—
59#2668—21no—
60#2668—21no—
61#2668—21no—
62#2663—21no—
63#2602—21no—
64#2561—21no—
65#2547C2211yescharacteristic
66#2542C2211yescharacteristic, complemented
67#2537C2211yescharacteristic
68#2537C2211yescharacteristic, complemented
69#2448C2211yescharacteristic, complemented
70#2447C2211yescharacteristic, complemented
71#2436C2211yescharacteristic, complemented
72#2435—21no—
73#2435C2211yescharacteristic, complemented
74#2427—21no—
75#2422C2211yescharacteristic
76#2422C2211yescharacteristic, complemented
77#2421C2211yescharacteristic, complemented
78#2420C2211yescharacteristic, complemented
79#2418—21no—
80#2418—21no—
81#2415C2211yescharacteristic, complemented
82#2414C2211yescharacteristic, complemented
83#2409C2211yescharacteristic
84#2408C2211yescharacteristic
85#2408C2211yescharacteristic
86#2408C2211yescharacteristic, complemented
87#2407—21no—
88#2366C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic, complemented
91#2321—21no—
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic, complemented
94#2297C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2100C2211yescharacteristic, complemented
97#2100C2211yescharacteristic, complemented
98#2092C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2075C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2055C2211yescharacteristic, complemented
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1973C2211yescharacteristic, complemented
144#1972C2211yescharacteristic, complemented
145#1959C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1955C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1936C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1927C2211yescharacteristic, complemented
152#1927C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1892C2211yescharacteristic, complemented
164#1892C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C22×SD16—42no—
211C22×SD16—42no—
212C22×SD16—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8—42no—
220C22×D8—42no—
221C22×D8—42no—
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230#548—42no—
231#548—42no—
232#546—42no—
233#546—48no—
234#546—42no—
235D42—42no—
236D42—42no—
237#532—42no—
238#532—42no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#124—21no—
242C2×#124—21no—
243C2×#124—21no—
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121D411yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×C4×Q8C2311yescharacteristic
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4—21no—
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C22×C22⋊C4—21no—
293C22×C22⋊C4—21no—
294C22×C22⋊C4—21no—
295C22×C42C2311yescharacteristic
296#482—42no—
297#463—42no—
298#463—42no—
299#463—42no—
300#463—42no—
301#450—42no—
302#450—42no—
303#449—42no—
304#449—42no—
305#449—42no—
306#448—42no—
307#447—42no—
308#447—42no—
309#447—42no—
310#442—42no—
311#440—42no—
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×#97C2311yescharacteristic
363C2×#97C2311yescharacteristic
364#400—21no—
365#399—21no—
366#399—21no—
367#399—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#395—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#393—21no—
394#393—21no—
395#393—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#391—21no—
401#391C2311yescharacteristic
402#391C2311yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#390—21no—
406#390—21no—
407#390D411yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#389—21no—
418#389D411yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388D411yescharacteristic
431#388D411yescharacteristic
432#387—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386D411yescharacteristic
449#386D411yescharacteristic
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#384C2311yescharacteristic
455#384C2311yescharacteristic
456#382C2311yescharacteristic
457#381—21no—
458#381—21no—
459#380—21no—
460#380—21no—
461#380D411yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470#379—21no—
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509C25—21no—
510C25—21no—
511C25—21no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—44no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—44no—
520C2×#41—82no—
521C22×Q8—21no—
522C22×Q8—21no—
523C22×Q8—22no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—21no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—44no—
564C22×D4—44no—
565C22×D4—82no—
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4C2×D411yescharacteristic
583C23×C4C2×D411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—416no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—416no—
625C22×C8—41no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8—41no—
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C4⋊Q8—41no—
640C4⋊Q8—41no—
641#127—22no—
642#127—22no—
643#124—22no—
644#124—22no—
645#124—41no—
646#124—41no—
647#124—41no—
648#124—41no—
649#124—44no—
650#124—44no—
651#124—44no—
652#123—44no—
653#123—44no—
654#123—44no—
655C22⋊Q8—22no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659C22⋊Q8—44no—
660C22⋊Q8—44no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—82no—
664#121—24no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—44no—
680#121—44no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—44no—
685#121—41no—
686#121—41no—
687#120—44no—
688#120—44no—
689#120—44no—
690#120—44no—
691#120—44no—
692#120—44no—
693C4×Q8—22no—
694C4×Q8—41no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—44no—
714C4×D4—44no—
715C4×D4—44no—
716C4×D4—44no—
717#117—41no—
718#117—41no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4C2×D411yescharacteristic
732C2×C4⋊C4C2×D411yescharacteristic
733C2×C4⋊C4C2×D411yescharacteristic
734C2×C4⋊C4C2×D411yescharacteristic
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—44no—
795C2×C22⋊C4—44no—
796C2×C22⋊C4—44no—
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C42—21no—
808C2×C42—21no—
809C2×C42—21no—
810C2×C42—41no—
811C2×C42—41no—
812C2×C42C2×D411yescharacteristic
813C2×C42C2×D411yescharacteristic
814C2×C42C2411yescharacteristic
815C2×C42C2411yescharacteristic
816C2×C42C2411yescharacteristic
817C2×C42C2411yescharacteristic
818#107—41no—
819#107—41no—
820#106—41no—
821#106—41no—
822C4⋊C8—41no—
823C4⋊C8—41no—
824C4⋊C8—41no—
825C4⋊C8—41no—
826#103—22no—
827#103—41no—
828#103—41no—
829#103—41no—
830#103—41no—
831#103—41no—
832#103—41no—
833#103—41no—
834#103—41no—
835#103—41no—
836#102—22no—
837#102—22no—
838#102—22no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868#97—41no—
869#97—41no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—42no—
903C24—42no—
904C24—42no—
905C24—42no—
906C24—42no—
907C24—42no—
908C24—42no—
909C24—42no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24C22×D411yescharacteristic
924C24C22×D411yescharacteristic
925C24C22×D411yescharacteristic
926#41—82no—
927#41—82no—
928#41—82no—
929#41—82no—
930#41—816no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—42no—
943C2×Q8—42no—
944C2×Q8—42no—
945C2×Q8—42no—
946C2×Q8—44no—
947C2×Q8—81no—
948C2×Q8—81no—
949C2×Q8—82no—
950C2×Q8—82no—
951C2×Q8—82no—
952C2×Q8H(5,𝔽2)12yes—
953C2×D4—24no—
954C2×D4—24no—
955C2×D4—24no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—42no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—816no—
1042C2×D4AGL(1,ℤ/8)14yes—
1043C2×D4H(5,𝔽2)12yes—
1044C2×D4H(5,𝔽2)12yes—
1045C2×D4H(5,𝔽2)12yes—
1046C2×D4H(5,𝔽2)12yes—
1047C22×C4—21no—
1048C22×C4—24no—
1049C22×C4—22no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4—81no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C2511yescharacteristic
1118SD16—44no—
1119SD16—44no—
1120SD16—44no—
1121SD16—44no—
1122SD16—44no—
1123SD16—82no—
1124D8—44no—
1125D8—44no—
1126D8—44no—
1127D8—44no—
1128D8—44no—
1129D8—82no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—44no—
1155C2×C8—44no—
1156C4⋊C4—22no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—21no—
1258C42—41no—
1259C42—41no—
1260C42—42no—
1261C42—42no—
1262C42—81no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—22no—
1279C23—21no—
1280C23—22no—
1281C23—22no—
1282C23—21no—
1283C23—22no—
1284C23—21no—
1285C23—21no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—84no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23C2×AGL(1,ℤ/8)12yes—
1339C23C2×AGL(1,ℤ/8)12yes—
1340C23C23×D411yescharacteristic
1341Q8—22no—
1342Q8—22no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—84no—
1350Q8—84no—
1351D4—22no—
1352D4—22no—
1353D4—22no—
1354D4—22no—
1355D4—22no—
1356D4—22no—
1357D4—22no—
1358D4—22no—
1359D4—44no—
1360D4—48no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—82no—
1374D4—82no—
1375D4—84no—
1376D4—84no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—162no—
1387D4—162no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—44no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—82no—
1469C2×C4—84no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—162no—
1473C2×C4—162no—
1474C2×C4—162no—
1475C2×C4C2×AGL(1,ℤ/8)12yes—
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C2×C4C2×H(5,𝔽2)11yescharacteristic
1481C2×C4#58511yescharacteristic
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—42no—
1506C22—41no—
1507C22—42no—
1508C22—41no—
1509C22—42no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22—42no—
1516C22—41no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—41no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—168no—
1547C22—168no—
1548C22—168no—
1549C22#348411yescharacteristic
1550C22#348411yescharacteristic
1551C22#348811yescharacteristic
1552C22C22×AGL(1,ℤ/8)11yescharacteristic
1553C22#358411yescharacteristic
1554C22#358411yescharacteristic
1555C22#358511yescharacteristic
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4—81no—
1578C4#353211yescharacteristic
1579C4#353211yescharacteristic
1580C4#353411yescharacteristic
1581C4#353411yescharacteristic
1582C2—42no—
1583C2—42no—
1584C2—81no—
1585C2—82no—
1586C2—82no—
1587C2—82no—
1588C2—82no—
1589C2—161no—
1590C2#4783011yescharacteristic
1591C2#6157111yescharacteristic
1592C2#6159811yescharacteristic
1593C2#6163611yescharacteristic
1594C2#6169011yescharacteristic
1595C2#6198911yescharacteristic
1596C2#6201111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59035C2semidirect
2. #39960C2semidirect
3. #31656C2semidirect
4. #31654C2semidirect
5. #31559C2semidirect
6. #31557C2semidirect
7. #31393C2semidirect
8. #31391C2semidirect
9. #31262C2semidirect
10. #31260C2semidirect
11. #31044C2semidirect
12. #31036C2semidirect
13. #31010C2semidirect
14. #31008C2semidirect
15. #30107C2semidirect
16. #29667C2semidirect
17. #28116C2semidirect
18. #26602C2semidirect
19. #26600C2semidirect
20. #24917C2semidirect
21. #24909C2semidirect
22. #24359C2semidirect
23. #24355C2semidirect
24. #24257C2semidirect
25. #24256C2semidirect
26. #23932C2semidirect
27. #23858C2semidirect
28. #23851C2semidirect
29. #23849C2semidirect
30. #23848C2semidirect
31. #23333C2semidirect
32. C23×SD16C22semidirect
34. C2×#548C22semidirect
36. C2×#546C22semidirect
38. C2×#532C22semidirect
39. C2×#482C22semidirect
40. C2×#463C22semidirect
41. C2×#463C22semidirect
42. C2×#463C22semidirect
43. C2×#463C22semidirect
45. C2×#449C22semidirect
46. C2×#449C22semidirect
47. C2×#448C22semidirect
53. C2×#442C22semidirect
54. C2×#440C22semidirect
55. #2850C22semidirect
66. #2542C22semidirect
68. #2537C22semidirect
69. #2448C22semidirect
70. #2447C22semidirect
71. #2436C22semidirect
73. #2435C22semidirect
76. #2422C22semidirect
77. #2421C22semidirect
78. #2420C22semidirect
81. #2415C22semidirect
82. #2414C22semidirect
86. #2408C22semidirect
88. #2366C22semidirect
90. D4×C22⋊C4C22semidirect
93. C4×#121C22semidirect
94. #2297C22semidirect
95. #2101C22semidirect
96. #2100C22semidirect
97. #2100C22semidirect
98. #2092C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2075C22semidirect
102. #2075C22semidirect
103. #2072C22semidirect
104. #2071C22semidirect
105. #2068C22semidirect
106. #2067C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2055C22semidirect
110. #2055C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
116. #2035C22semidirect
117. #2034C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2014C22semidirect
125. #2014C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1973C22semidirect
144. #1972C22semidirect
145. #1959C22semidirect
146. #1959C22semidirect
147. #1955C22semidirect
148. #1955C22semidirect
149. #1936C22semidirect
150. #1936C22semidirect
151. #1927C22semidirect
152. #1927C22semidirect
153. #1925C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
160. #1893C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1892C22semidirect
164. #1892C22semidirect
165. #1880C22semidirect
166. #1880C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1850C22semidirect
188. #1850C22semidirect
189. #1825C22semidirect
190. #1817C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect

Maximal subgroups

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

subgroupindex
#590352
#399602
#316562
#316542
#315592
#315572
#313932
#313912
#312622
#312602
#310442
#310362
#310102
#310082
#301072
#296672
#281162
#266022
#266002
#249172
#249092
#243592
#243552
#242572
#242562
#239322
#238582
#238512
#238492
#238482
#233332