Finite Group Databasebeta

← #7551323

Subgroups — #7551323

Order 512.

2451 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3332C211yesmaximal, characteristic, complemented
2C2×#3306C211yesmaximal, characteristic, complemented
3#59129C211yesmaximal, characteristic, complemented
4#36126C211yesmaximal, characteristic, complemented
5#30934C211yesmaximal, characteristic, complemented
6#30909C211yesmaximal, characteristic, complemented
7#30545C211yesmaximal, characteristic, complemented
8#30519C211yesmaximal, characteristic, complemented
9#28493C211yesmaximal, characteristic, complemented
10#27783C211yesmaximal, characteristic, complemented
11#26633C211yesmaximal, characteristic, complemented
12#26624C211yesmaximal, characteristic, complemented
13#26476C211yesmaximal, characteristic, complemented
14#26242C211yesmaximal, characteristic, complemented
15#25770C211yesmaximal, characteristic, complemented
16#25729C211yesmaximal, characteristic, complemented
17#25376C211yesmaximal, characteristic, complemented
18#25139C211yesmaximal, characteristic, complemented
19#25117C211yesmaximal, characteristic, complemented
20#25104C211yesmaximal, characteristic, complemented
21#25076C211yesmaximal, characteristic, complemented
22#24758C211yesmaximal, characteristic, complemented
23#24451C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#23972C211yesmaximal, characteristic, complemented
26#23972C211yesmaximal, characteristic, complemented
27#23193C211yesmaximal, characteristic, complemented
28#22988C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#21580C211yesmaximal, characteristic, complemented
31#21258C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#532—21no—
38C2×#532C2211yescharacteristic
39#3332—28no—
40#3306—28no—
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic
44C2×#486C2211yescharacteristic
45C2×#481C2211yescharacteristic
46C2×#481C2211yescharacteristic, complemented
47C2×#483C2211yescharacteristic
48C2×#475C2211yescharacteristic, complemented
49C2×#476C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#459C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#442C2211yescharacteristic
68C2×C4×SD16C2211yescharacteristic, complemented
69C2×#436C2211yescharacteristic, complemented
70C2×#435C2211yescharacteristic
71C2×#435C2211yescharacteristic
72C2×#423C2211yescharacteristic, complemented
73C2×#417C2211yescharacteristic
74C2×#417C2211yescharacteristic
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic, complemented
77C2×#417C2211yescharacteristic, complemented
78C22×#102C2211yescharacteristic
79#2856C2211yescharacteristic, complemented
80#2854—21no—
81#2671—21no—
82#2669—21no—
83#2551C2211yescharacteristic, complemented
84#2544C2211yescharacteristic
85#2541C2211yescharacteristic
86#2540C2211yescharacteristic
87#2491C2211yescharacteristic
88#2491C2211yescharacteristic, complemented
89#2464—21no—
90#2461—21no—
91#2461—21no—
92#2455—21no—
93#2452—21no—
94#2445—21no—
95#2433C2211yescharacteristic
96#2432C2211yescharacteristic
97#2430—21no—
98#2430—21no—
99#2429C2211yescharacteristic
100#2428—21no—
101#2428C2211yescharacteristic
102#2424—21no—
103#2424—21no—
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2367C2211yescharacteristic
109#2366C2211yescharacteristic, complemented
110#2361C2211yescharacteristic
111#2361C2211yescharacteristic, complemented
112#2358—21no—
113D4×C4⋊C4C2211yescharacteristic
114C4×#121C2211yescharacteristic
115C4×#121C2211yescharacteristic
116C2×C4×C4⋊C4C2211yescharacteristic, complemented
117#2068C2211yescharacteristic, complemented
118#2067C2211yescharacteristic
119#2065C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic
126#2041C2211yescharacteristic
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2024C2211yescharacteristic, complemented
132#2024C2211yescharacteristic, complemented
133#2023C2211yescharacteristic
134#2023C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2012C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2011C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1983C2211yescharacteristic
150#1983C2211yescharacteristic
151#1983C2211yescharacteristic, complemented
152#1983C2211yescharacteristic, complemented
153#1982C2211yescharacteristic
154#1982C2211yescharacteristic
155#1982C2211yescharacteristic, complemented
156#1981C2211yescharacteristic, complemented
157#1981C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1970C2211yescharacteristic
160#1959C2211yescharacteristic
161#1959C2211yescharacteristic, complemented
162#1955C2211yescharacteristic
163#1948C2211yescharacteristic, complemented
164#1940C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1925C2211yescharacteristic
168#1925C2211yescharacteristic
169#1924C2211yescharacteristic, complemented
170#1923C2211yescharacteristic
171#1920C2211yescharacteristic, complemented
172#1920C2211yescharacteristic, complemented
173#1895C2211yescharacteristic
174#1895C2211yescharacteristic, complemented
175#1895C2211yescharacteristic, complemented
176#1892C2211yescharacteristic
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic, complemented
188#1870C2211yescharacteristic
189#1870C2211yescharacteristic, complemented
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic
192#1852C2211yescharacteristic, complemented
193#1851C2211yescharacteristic, complemented
194#1850C2211yescharacteristic
195#1824C2211yescharacteristic, complemented
196#1802C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199#1776C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201#1771C2211yescharacteristic, complemented
202#1762C2211yescharacteristic
203#1762C2211yescharacteristic
204#1749C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#550—24no—
226#550—42no—
227#547—24no—
228#547—24no—
229#547—42no—
230#547—42no—
231#546—24no—
232#546—24no—
233#546—42no—
234#546—42no—
235#532—24no—
236#532—42no—
237#532—48no—
238C2×C4⋊Q8—21no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×C4⋊Q8C2311yescharacteristic
241C2×C4⋊Q8C2311yescharacteristic
242C2×#127—21no—
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#124—21no—
248C2×#124—21no—
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121D411yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×C4×Q8C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C42—21no—
312C22×C42C2311yescharacteristic
313#496—24no—
314#496—42no—
315#489—24no—
316#486—24no—
317#483—24no—
318#481—24no—
319#481D418yescomplemented
320#476—24no—
321#475—24no—
322#469—24no—
323#469—24no—
324#469—24no—
325#468—42no—
326#466—42no—
327#465—24no—
328#463—24no—
329#459—24no—
330#459—42no—
331#449—24no—
332#449—24no—
333#449—24no—
334#449—42no—
335#449—42no—
336#449—42no—
337#447—24no—
338#447—42no—
339#442—24no—
340C4×SD16—24no—
341#436—24no—
342#435—24no—
343#435—42no—
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350#423—42no—
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357#417—24no—
358#417—24no—
359#417—24no—
360#417—42no—
361#417—42no—
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#102—24no—
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411#399—21no—
412#398—21no—
413#396—21no—
414#396—21no—
415#396—21no—
416#395—21no—
417#395—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#393—21no—
430#393—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390D411yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#389—21no—
456#389—21no—
457#389—21no—
458#389D411yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388D411yescharacteristic
471#388D411yescharacteristic
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386D411yescharacteristic
485#386D411yescharacteristic
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#384C2311yescharacteristic
496#380D411yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500C4×C4⋊C4—21no—
501C4×C4⋊C4—21no—
502C4×C4⋊C4C2311yescharacteristic
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
512C2×#95—21no—
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531C25—21no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—44no—
545C2×#41—44no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—44no—
553C2×#41—44no—
554C2×#41—82no—
555C2×#41—82no—
556C22×Q8—21no—
557C22×Q8—21no—
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×D4—21no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4C2×D411yescharacteristic
606C23×C4C2×D411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—41no—
644C2×M16—41no—
645C2×M16—41no—
646C2×M16—41no—
647C2×M16—41no—
648C2×M16—41no—
649C22×C8—22no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C4⋊Q8—22no—
661C4⋊Q8—22no—
662C4⋊Q8—22no—
663C4⋊Q8—41no—
664C4⋊Q8—41no—
665C4⋊Q8—41no—
666C4⋊Q8—44no—
667#127—22no—
668#127—22no—
669#127—22no—
670#127—22no—
671#127—41no—
672#127—41no—
673#127—44no—
674#127—44no—
675#124—22no—
676#124—22no—
677#124—22no—
678#124—22no—
679#124—41no—
680#124—44no—
681#124—44no—
682#124#4114yescomplemented
683#123—44no—
684#123—44no—
685#123—44no—
686#123—44no—
687#123—44no—
688#123—44no—
689C22⋊Q8—22no—
690C22⋊Q8—22no—
691C22⋊Q8—44no—
692C22⋊Q8—44no—
693C22⋊Q8—41no—
694C22⋊Q8—41no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697#121—22no—
698#121—24no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—44no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—44no—
722#121—44no—
723#121—44no—
724#121—41no—
725#121—41no—
726#121—82no—
727#121—82no—
728#121C2×D414yes—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—82no—
733C4×Q8—22no—
734C4×Q8—41no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—44no—
747C4×D4—44no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—44no—
752C4×D4—44no—
753C4×D4—44no—
754C4×D4—44no—
755C4×D4—44no—
756C4×D4—82no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—41no—
779C2×C4⋊C4—41no—
780C2×C4⋊C4—41no—
781C2×C4⋊C4C2×D411yescharacteristic
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D414yes—
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—44no—
837C2×C22⋊C4—44no—
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C42—22no—
849C2×C42—22no—
850C2×C42—21no—
851C2×C42—21no—
852C2×C42—21no—
853C2×C42—21no—
854C2×C42—21no—
855C2×C42—21no—
856C2×C42—44no—
857C2×C42C2×D411yescharacteristic
858C2×C42C2×D411yescharacteristic
859C2×C42C2411yescharacteristic
860C2×C42C2411yescharacteristic
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863#107—22no—
864#107—41no—
865#106—22no—
866#106—22no—
867#106C2×D414yes—
868#106C2×D414yes—
869C4⋊C8—22no—
870C4⋊C8—22no—
871C4⋊C8—22no—
872C4⋊C8—22no—
873C4⋊C8—41no—
874C4⋊C8—41no—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—41no—
884#103—41no—
885#103—41no—
886#103—41no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102C2×D414yes—
910#102C2×D414yes—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917C22⋊C8—41no—
918C22⋊C8C2×D414yes—
919#97—22no—
920#97—22no—
921#97—22no—
922C4×C8—22no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95C2×D411yescharacteristic
939#95C2×D411yescharacteristic
940#95C2×D411yescharacteristic
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959#41—44no—
960#41—44no—
961#41—44no—
962#41—44no—
963#41—44no—
964#41—82no—
965#41—82no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—816no—
972#41—816no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—42no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×Q8—81no—
989C2×Q8—81no—
990C2×Q8C2×#4112yes—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—22no—
995C2×D4—24no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—82no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4C22×D412yes—
1093C2×D4C2×#4112yes—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—24no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—22no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D412yes—
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4H(5,𝔽2)12yes—
1173C22×C4C2511yescharacteristic
1174SD16—44no—
1175SD16—82no—
1176SD16—82no—
1177SD16—82no—
1178D8—44no—
1179D8—82no—
1180D8—82no—
1181D8—82no—
1182D8—82no—
1183D8—82no—
1184M16—82no—
1185M16—82no—
1186M16—82no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—82no—
1210C2×C8C22×D412yes—
1211C2×C8C22×D412yes—
1212C4⋊C4—24no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—41no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—81no—
1247C4⋊C4—81no—
1248C4⋊C4C22×D412yes—
1249C4⋊C4C22×D412yes—
1250C4⋊C4C22×D412yes—
1251C4⋊C4H(5,𝔽2)12yes—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—24no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4AGL(1,ℤ/8)14yes—
1302C42—22no—
1303C42—22no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—42no—
1311C42—42no—
1312C42—42no—
1313C42—42no—
1314C42—42no—
1315C42—81no—
1316C42C2×#4112yes—
1317C42H(5,𝔽2)12yes—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—22no—
1334C23—21no—
1335C23—22no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—84no—
1373C23—84no—
1374C23—84no—
1375C23—162no—
1376C23—162no—
1377C23—162no—
1378C23—162no—
1379C23D4212yes—
1380C23C2×AGL(1,ℤ/8)12yes—
1381C23C23×D411yescharacteristic
1382Q8—22no—
1383Q8—22no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—84no—
1391Q8—84no—
1392D4—22no—
1393D4—22no—
1394D4—22no—
1395D4—22no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—84no—
1416D4—84no—
1417D4—84no—
1418D4—84no—
1419D4—84no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—162no—
1431D4—162no—
1432D4—162no—
1433D4—162no—
1434D4—162no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—44no—
1473C2×C4—48no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—82no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—162no—
1520C2×C4—162no—
1521C2×C4D4212yes—
1522C2×C4#54612yes—
1523C2×C4#54612yes—
1524C2×C4C2×AGL(1,ℤ/8)12yes—
1525C2×C4C2×AGL(1,ℤ/8)12yes—
1526C2×C4C23×D411yescharacteristic
1527C2×C4C22×#4111yescharacteristic
1528C2×C4C2×H(5,𝔽2)11yescharacteristic
1529C2×C4C2×H(5,𝔽2)11yescharacteristic
1530C2×C4C2×H(5,𝔽2)11yescharacteristic
1531C2×C4#58511yescharacteristic
1532C8—22no—
1533C8—22no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—42no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—168no—
1597C22C2×D4211yescharacteristic
1598C22C2×#54611yescharacteristic
1599C22#348811yescharacteristic
1600C22C22×AGL(1,ℤ/8)11yescharacteristic
1601C22#358511yescharacteristic
1602C22#358511yescharacteristic
1603C22#358611yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—41no—
1620C4—81no—
1621C4—81no—
1622C4—81no—
1623C4—81no—
1624C4—81no—
1625C4—81no—
1626C4D4×#4111yescharacteristic
1627C4#349811yescharacteristic
1628C4#351911yescharacteristic
1629C4#355811yescharacteristic
1630C2—42no—
1631C2—42no—
1632C2—81no—
1633C2—82no—
1634C2—82no—
1635C2—161no—
1636C2—161no—
1637C2—161no—
1638C2#5909511yescharacteristic
1639C2D4×AGL(1,ℤ/8)11yescharacteristic
1640C2#6108011yescharacteristic
1641C2#6116111yescharacteristic
1642C2#6117911yescharacteristic
1643C2#6196111yescharacteristic
1644C2#6207811yescharacteristic
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. C2×#3332C2semidirect
2. C2×#3306C2semidirect
3. #59129C2semidirect
4. #36126C2semidirect
5. #30934C2semidirect
6. #30909C2semidirect
7. #30545C2semidirect
8. #30519C2semidirect
9. #28493C2semidirect
10. #27783C2semidirect
11. #26633C2semidirect
12. #26624C2semidirect
13. #26476C2semidirect
14. #26242C2semidirect
15. #25770C2semidirect
16. #25729C2semidirect
17. #25376C2semidirect
18. #25139C2semidirect
19. #25117C2semidirect
20. #25104C2semidirect
21. #25076C2semidirect
22. #24758C2semidirect
23. #24451C2semidirect
24. #24444C2semidirect
25. #23972C2semidirect
26. #23972C2semidirect
27. #23193C2semidirect
28. #22988C2semidirect
29. #22419C2semidirect
30. #21580C2semidirect
31. #21258C2semidirect
34. C2×#547C22semidirect
42. C2×#496C22semidirect
46. C2×#481C22semidirect
48. C2×#475C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
68. C2×C4×SD16C22semidirect
69. C2×#436C22semidirect
72. C2×#423C22semidirect
76. C2×#417C22semidirect
77. C2×#417C22semidirect
79. #2856C22semidirect
83. #2551C22semidirect
88. #2491C22semidirect
105. #2416C22semidirect
109. #2366C22semidirect
111. #2361C22semidirect
116. C2×C4×C4⋊C4C22semidirect
117. #2068C22semidirect
119. #2065C22semidirect
120. #2065C22semidirect
121. #2055C22semidirect
124. #2054C22semidirect
127. #2036C22semidirect
129. #2034C22semidirect
131. #2024C22semidirect
132. #2024C22semidirect
134. #2023C22semidirect
135. #2013C22semidirect
136. #2013C22semidirect
144. #2000C22semidirect
148. #1999C22semidirect
151. #1983C22semidirect
152. #1983C22semidirect
155. #1982C22semidirect
156. #1981C22semidirect
157. #1981C22semidirect
158. #1973C22semidirect
161. #1959C22semidirect
163. #1948C22semidirect
164. #1940C22semidirect
165. #1936C22semidirect
166. #1933C22semidirect
169. #1924C22semidirect
171. #1920C22semidirect
172. #1920C22semidirect
174. #1895C22semidirect
175. #1895C22semidirect
177. #1880C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
187. #1872C22semidirect
189. #1870C22semidirect
190. #1865C22semidirect
192. #1852C22semidirect
193. #1851C22semidirect
195. #1824C22semidirect
199. #1776C22semidirect
200. #1776C22semidirect
201. #1771C22semidirect
204. #1749C22semidirect
319. #481D4semidirect
682. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#33322
C2×#33062
#591292
#361262
#309342
#309092
#305452
#305192
#284932
#277832
#266332
#266242
#264762
#262422
#257702
#257292
#253762
#251392
#251172
#251042
#250762
#247582
#244512
#244442
#239722
#231932
#229882
#224192
#215802
#212582