Finite Group Databasebeta

← #28259882

Subgroups — #28259882

Order 13568.

2740 conjugacy classes of subgroups.

The subgroup lattice has 2054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811433C211yesmaximal, characteristic, complemented
2C22×#13133246C211yesmaximal, characteristic, complemented
3#20288375C211yesmaximal, characteristic, complemented
4#20288361C211yesmaximal, characteristic, complemented
5#20286453C211yesmaximal, characteristic, complemented
6#20286452C211yesmaximal, characteristic, complemented
7D4×#11719923C211yesmaximal, characteristic, complemented
8SD16×C22⋊D53C211yesmaximal, characteristic, complemented
9#20286384C211yesmaximal, characteristic, complemented
10#20286378C211yesmaximal, characteristic, complemented
11#20286352C211yesmaximal, characteristic, complemented
12#20286346C211yesmaximal, characteristic, complemented
13#20286299C211yesmaximal, characteristic, complemented
14#20286293C211yesmaximal, characteristic, complemented
15#20286290C211yesmaximal, characteristic, complemented
16#20286278C211yesmaximal, characteristic, complemented
17#20286229C211yesmaximal, characteristic, complemented
18#20286227C211yesmaximal, characteristic, complemented
19#20286214C211yesmaximal, characteristic, complemented
20#20285188C211yesmaximal, characteristic, complemented
21#20284401C211yesmaximal, characteristic, complemented
22#20284331C211yesmaximal, characteristic, complemented
23#20284266C211yesmaximal, characteristic, complemented
24#20284231C211yesmaximal, characteristic, complemented
25#20284028C211yesmaximal, characteristic, complemented
26#20283987C211yesmaximal, characteristic, complemented
27#20283928C211yesmaximal, characteristic, complemented
28#448×D53C211yesmaximal, characteristic, complemented
29#20283555C211yesmaximal, characteristic, complemented
30#20283441C211yesmaximal, characteristic, complemented
31C53×#3265C211yesmaximal, characteristic, complemented
32C2×#13133264C2211yescharacteristic, complemented
33C2×#13133262C2211yescharacteristic
34C22×#11719947C2211yescharacteristic
35C22×Q8×D53C2211yescharacteristic, complemented
36#16811433—28no—
37C2×#13133250C2211yescharacteristic, complemented
38C2×#13133246—28no—
39C2×#13133246C2211yescharacteristic
40C2×#13133246C2211yescharacteristic
41C2×#13133246C2211yescharacteristic, complemented
42C2×#13133246C2211yescharacteristic, complemented
43C2×#13133246C2211yescharacteristic, complemented
44C2×#13133246C2211yescharacteristic, complemented
45C2×#13133246C2211yescharacteristic, complemented
46C2×#13133246C2211yescharacteristic, complemented
47C2×#13133246C2211yescharacteristic, complemented
48C2×#13133241C2211yescharacteristic, complemented
49C2×#13133241C2211yescharacteristic, complemented
50C2×#13133237C2211yescharacteristic, complemented
51C2×#13133236C2211yescharacteristic
52C2×#13133236C2211yescharacteristic, complemented
53C2×#13133236C2211yescharacteristic, complemented
54C22×Dic212C2211yescharacteristic, complemented
55C22×#11719925C2211yescharacteristic, complemented
56C22×#11719923C2211yescharacteristic, complemented
57C22×#11719923C2211yescharacteristic, complemented
58C2×SD16×D53C2211yescharacteristic, complemented
59C2×SD16×D53C2211yescharacteristic, complemented
60C2×SD16×D53C2211yescharacteristic, complemented
61C2×#13133225C2211yescharacteristic, complemented
62C22×#11719912C2211yescharacteristic, complemented
63#16811293C2211yescharacteristic
64#16811291C2211yescharacteristic
65Q8×D212C2211yescharacteristic, complemented
66D4×Dic106—21no—
67D4×Dic106C2211yescharacteristic, complemented
68Q8×C22⋊D53C2211yescharacteristic, complemented
69#16811286—21no—
70#16811286C2211yescharacteristic, complemented
71#16811282C2211yescharacteristic
72#16811281—21no—
73#16811281C2211yescharacteristic, complemented
74#16811280C2211yescharacteristic, complemented
75#16811279—21no—
76#16811279C2211yescharacteristic
77#16811279C2211yescharacteristic, complemented
78#16811268C2211yescharacteristic
79#16811267C2211yescharacteristic
80#16811262—21no—
81#16811260—21no—
82D4×C22⋊D53—21no—
83D4×C22⋊D53C2211yescharacteristic
84#16811255—21no—
85#16811202C2211yescharacteristic
86#16811200—21no—
87#16811196—21no—
88#16811196C2211yescharacteristic, complemented
89#16811193—21no—
90#16811193C2211yescharacteristic, complemented
91#16811188—21no—
92#16811186C2211yescharacteristic
93#16811133—21no—
94#16811133C2211yescharacteristic, complemented
95#16811132—21no—
96#16811132C2211yescharacteristic
97#16811129—21no—
98C2×#13133189—21no—
99#121×D53C2211yescharacteristic
100#16811102C2211yescharacteristic
101#16811099C2211yescharacteristic, complemented
102#16811017C2211yescharacteristic, complemented
103#16811014C2211yescharacteristic, complemented
104#16811011C2211yescharacteristic, complemented
105#16811006C2211yescharacteristic, complemented
106#16811005C2211yescharacteristic, complemented
107#16810995C2211yescharacteristic, complemented
108#16810994C2211yescharacteristic, complemented
109#16810881C2211yescharacteristic, complemented
110#16810880C2211yescharacteristic, complemented
111#16810875C2211yescharacteristic, complemented
112#16810873C2211yescharacteristic, complemented
113#16810870C2211yescharacteristic, complemented
114#16810868C2211yescharacteristic, complemented
115#16810868C2211yescharacteristic, complemented
116#16810865C2211yescharacteristic, complemented
117#16810862C2211yescharacteristic, complemented
118#16810857C2211yescharacteristic, complemented
119#16810852C2211yescharacteristic, complemented
120#16810850C2211yescharacteristic, complemented
121#16810850C2211yescharacteristic, complemented
122#16810849C2211yescharacteristic, complemented
123#16810846C2211yescharacteristic, complemented
124#16810845C2211yescharacteristic, complemented
125#16810844C2211yescharacteristic, complemented
126#16810844C2211yescharacteristic, complemented
127#16810843C2211yescharacteristic, complemented
128#16810842C2211yescharacteristic, complemented
129#16810836C2211yescharacteristic, complemented
130#16810834C2211yescharacteristic, complemented
131#16810832C2211yescharacteristic, complemented
132#16810828C2211yescharacteristic, complemented
133#16810826C2211yescharacteristic, complemented
134#16810822C2211yescharacteristic, complemented
135#16810821C2211yescharacteristic, complemented
136#16810820C2211yescharacteristic, complemented
137#16810787C2211yescharacteristic, complemented
138#16810786C2211yescharacteristic, complemented
139#16810786C2211yescharacteristic, complemented
140#16810786C2211yescharacteristic, complemented
141#16810786C2211yescharacteristic, complemented
142#16810785C2211yescharacteristic, complemented
143#16810783C2211yescharacteristic, complemented
144#16810782C2211yescharacteristic, complemented
145#16810781C2211yescharacteristic, complemented
146#16810781C2211yescharacteristic, complemented
147#16810780C2211yescharacteristic, complemented
148#16810775C2211yescharacteristic, complemented
149#16810774C2211yescharacteristic, complemented
150#16810774C2211yescharacteristic, complemented
151#16810772C2211yescharacteristic, complemented
152#16810765C2211yescharacteristic, complemented
153#16810765C2211yescharacteristic, complemented
154#16810765C2211yescharacteristic, complemented
155#16810764C2211yescharacteristic, complemented
156#16810763C2211yescharacteristic, complemented
157#16810763C2211yescharacteristic, complemented
158#16810762C2211yescharacteristic, complemented
159#16810761C2211yescharacteristic, complemented
160#16810761C2211yescharacteristic, complemented
161#16810761C2211yescharacteristic, complemented
162#16810760C2211yescharacteristic, complemented
163#16810760C2211yescharacteristic, complemented
164#16810760C2211yescharacteristic, complemented
165#16810731C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810720C2211yescharacteristic, complemented
168#16810717C2211yescharacteristic, complemented
169C4×#11719925C2211yescharacteristic, complemented
170SD16×Dic53C2211yescharacteristic, complemented
171C4×#11719923C2211yescharacteristic, complemented
172#16810700C2211yescharacteristic, complemented
173#16810699C2211yescharacteristic, complemented
174#16810696C2211yescharacteristic, complemented
175#16810691C2211yescharacteristic, complemented
176#16810691C2211yescharacteristic, complemented
177D4×#88322C2211yescharacteristic, complemented
178C8×C22⋊D53C2211yescharacteristic, complemented
179#16810664C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810626C2211yescharacteristic, complemented
182#16810621C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic
184#16810616C2211yescharacteristic, complemented
185#103×D53C2211yescharacteristic, complemented
186#103×D53C2211yescharacteristic, complemented
187#16810588C2211yescharacteristic, complemented
188C22⋊C8×D53C2211yescharacteristic, complemented
189#16810580C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C53C2211yescharacteristic, complemented
191C22×SD16×C53C2211yescharacteristic, complemented
192C53×#548C2211yescharacteristic, complemented
193D42×C53C2211yescharacteristic
194C53×#496C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#466C2211yescharacteristic, complemented
197C53×#463C2211yescharacteristic, complemented
198C53×#460C2211yescharacteristic, complemented
199C53×#450C2211yescharacteristic, complemented
200C53×#449C2211yescharacteristic, complemented
201C53×#448C2211yescharacteristic, complemented
202C53×#447C2211yescharacteristic, complemented
203C53×#440C2211yescharacteristic, complemented
204C53×#435C2211yescharacteristic, complemented
205#13133264—24no—
206#13133264—42no—
207#13133262—24no—
208#13133262—42no—
209C2×#11719945—21no—
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719947—24no—
213C2×#11719947—21no—
214C2×#11719947—21no—
215C2×#11719947—21no—
216C2×#11719947—21no—
217C2×#11719947—21no—
218C2×#11719947—42no—
219C2×#11719947C2311yescharacteristic
220C2×#11719947C2311yescharacteristic
221C2×#11719947C2311yescharacteristic
222C2×#11719947C2311yescharacteristic
223C2×#11719947C2311yescharacteristic
224C2×#11719947C2311yescharacteristic
225C2×#11719947C2311yescharacteristic
226C22×Dic106—21no—
227C22×Dic106—21no—
228C22×Dic106C2311yescharacteristic
229C22×Dic106C2311yescharacteristic
230C22×Dic106C2311yescharacteristic
231C2×Q8×D53—21no—
232C2×Q8×D53—21no—
233C2×Q8×D53—24no—
234C2×Q8×D53—42no—
235C2×Q8×D53C2311yescharacteristic
236C2×Q8×D53C2311yescharacteristic
237C2×Q8×D53C2311yescharacteristic
238C2×Q8×D53C2311yescharacteristic
239C2×Q8×D53C2311yescharacteristic
240C22×C22⋊D53—21no—
241C22×C22⋊D53—21no—
242C22×C22⋊D53—21no—
243C22×C22⋊D53—21no—
244C2×D4×D53—21no—
245C2×D4×D53—21no—
246C2×D4×D53C2311yescharacteristic
247C2×D4×D53C2311yescharacteristic
248C23×Dic53—21no—
249C22×C4×D53—21no—
250C22×C4×D53C2311yescharacteristic
251#13133250—24no—
252#13133246—24no—
253#13133246—24no—
254#13133246—24no—
255#13133246—24no—
256#13133246—24no—
257#13133246—24no—
258#13133246—24no—
259#13133246—24no—
260#13133246D418yescomplemented
261#13133241—24no—
262#13133241—24no—
263#13133237—24no—
264#13133236—24no—
265#13133236—24no—
266#13133236—42no—
267C2×Dic212—24no—
268C2×Dic212C2311yescharacteristic
269C2×Dic212C2311yescharacteristic
270C2×Dic212C2311yescharacteristic
271C2×Dic212C2311yescharacteristic
272C2×Dic212C2311yescharacteristic
273C2×Dic212C2311yescharacteristic
274C2×#11719925—24no—
275C2×#11719925C2311yescharacteristic
276C2×#11719925C2311yescharacteristic
277C2×#11719925C2311yescharacteristic
278C2×#11719925C2311yescharacteristic
279C2×#11719913C2311yescharacteristic
280C2×#11719913C2311yescharacteristic
281C2×#11719913C2311yescharacteristic
282C2×#11719923—24no—
283C2×#11719923—24no—
284C2×#11719923C2311yescharacteristic
285C2×#11719923C2311yescharacteristic
286C2×#11719923C2311yescharacteristic
287C2×#11719923C2311yescharacteristic
288C2×#11719923C2311yescharacteristic
289C2×#11719923C2311yescharacteristic
290C2×#11719923C2311yescharacteristic
291C2×#11719923C2311yescharacteristic
292C2×#11719923C2311yescharacteristic
293C2×#11719923C2311yescharacteristic
294C2×#11719923C2311yescharacteristic
295C2×#11719924C2311yescharacteristic
296C2×#11719924C2311yescharacteristic
297SD16×D53—24no—
298SD16×D53—24no—
299SD16×D53—42no—
300C2×#11719922C2311yescharacteristic
301#13133225—24no—
302C2×#11719912—24no—
303C2×#11719912C2311yescharacteristic
304C2×#11719912C2311yescharacteristic
305C2×#11719912C2311yescharacteristic
306C2×#11719912C2311yescharacteristic
307C2×#11719912C2311yescharacteristic
308C22×#88322C2311yescharacteristic
309C22×#88322C2311yescharacteristic
310C2×C8×D53C2311yescharacteristic
311C2×C8×D53C2311yescharacteristic
312C2×C8×D53C2311yescharacteristic
313#13133217—21no—
314#13133217C2311yescharacteristic
315#13133216—21no—
316#13133216—21no—
317#13133216—21no—
318#13133215—21no—
319#13133215C2311yescharacteristic
320#13133213—21no—
321#13133213—21no—
322#13133213C2311yescharacteristic
323#13133205C2311yescharacteristic
324#13133204—21no—
325#13133204C2311yescharacteristic
326#13133204C2311yescharacteristic
327#13133203—21no—
328#13133203—21no—
329#13133203—21no—
330#13133203—21no—
331#13133203—21no—
332#13133202—21no—
333#13133202D411yescharacteristic
334#13133201—21no—
335#13133199—21no—
336#13133199—21no—
337#13133199—21no—
338#13133199—21no—
339#13133199D411yescharacteristic
340#13133198—21no—
341#13133197—21no—
342#13133197—21no—
343#13133197C2311yescharacteristic
344#13133197C2311yescharacteristic
345#13133197C2311yescharacteristic
346#13133196—21no—
347#13133196—21no—
348#13133196C2311yescharacteristic
349#13133196C2311yescharacteristic
350#13133196C2311yescharacteristic
351#13133195—21no—
352#13133195—21no—
353#13133195D411yescharacteristic
354#13133194—21no—
355#13133194—21no—
356#13133194—21no—
357#13133194—21no—
358#13133194—21no—
359#13133194—21no—
360#13133194—21no—
361#13133194—21no—
362#13133194—21no—
363#13133194D411yescharacteristic
364#13133193—21no—
365#13133193C2311yescharacteristic
366#13133192C2311yescharacteristic
367#13133191—21no—
368#13133191C2311yescharacteristic
369#13133190—21no—
370#13133190—21no—
371#13133190—21no—
372#13133190—21no—
373#13133190D411yescharacteristic
374#13133189—21no—
375#13133189—21no—
376#13133189—21no—
377#13133189—21no—
378#13133189—21no—
379#13133189—21no—
380#13133189—21no—
381#13133189—21no—
382#13133189—21no—
383#13133189—21no—
384#13133189—21no—
385#13133189—21no—
386#13133189D411yescharacteristic
387#13133188—21no—
388#13133188—21no—
389#13133188C2311yescharacteristic
390#13133188C2311yescharacteristic
391#13133188C2311yescharacteristic
392#13133187—21no—
393#13133187D411yescharacteristic
394#13133186—21no—
395#13133186—21no—
396#13133185—21no—
397#13133185—21no—
398#13133185—21no—
399#13133185—21no—
400#13133185D411yescharacteristic
401Q8×Dic53C2311yescharacteristic
402C4×Dic106—21no—
403C4×Dic106C2311yescharacteristic
404C4×Dic106C2311yescharacteristic
405#13133182—21no—
406#13133182C2311yescharacteristic
407#13133182C2311yescharacteristic
408C4×D212—21no—
409C4×D212C2311yescharacteristic
410D4×Dic53—21no—
411D4×Dic53—21no—
412D4×Dic53—21no—
413D4×Dic53—21no—
414D4×Dic53—21no—
415D4×Dic53C2311yescharacteristic
416C4×C22⋊D53—21no—
417C4×C22⋊D53—21no—
418C4×C22⋊D53—21no—
419C4×C22⋊D53C2311yescharacteristic
420C4×C22⋊D53C2311yescharacteristic
421#13133177—21no—
422#13133177—21no—
423#13133177—21no—
424#13133177—21no—
425#13133177—21no—
426#13133177—21no—
427#13133175—21no—
428#13133175C2311yescharacteristic
429#13133174—21no—
430#13133174C2311yescharacteristic
431#13133173—21no—
432C2×#11719919—21no—
433C4⋊C4×D53C2311yescharacteristic
434C2×C22⋊Dic53—21no—
435C2×#11719921—21no—
436C22⋊C4×D53—21no—
437#13133150C2311yescharacteristic
438#13133149C2311yescharacteristic
439#13133148C2311yescharacteristic
440C4⋊#88322C2311yescharacteristic
441#13133146C2311yescharacteristic
442#13133146C2311yescharacteristic
443#13133142C2311yescharacteristic
444#13133142C2311yescharacteristic
445#13133142C2311yescharacteristic
446#13133142C2311yescharacteristic
447#13133142C2311yescharacteristic
448#13133141C2311yescharacteristic
449#13133141C2311yescharacteristic
450#13133140C2311yescharacteristic
451#13133140C2311yescharacteristic
452#13133140C2311yescharacteristic
453#13133140C2311yescharacteristic
454#13133140C2311yescharacteristic
455#13133139C2311yescharacteristic
456#13133138C2311yescharacteristic
457#13133138C2311yescharacteristic
458#13133138C2311yescharacteristic
459#13133138C2311yescharacteristic
460#13133137C2311yescharacteristic
461C22⋊#88322C2311yescharacteristic
462C22⋊#88322C2311yescharacteristic
463#13133129C2311yescharacteristic
464#13133129C2311yescharacteristic
465#13133129C2311yescharacteristic
466#13133129C2311yescharacteristic
467#13133127C2311yescharacteristic
468C4×#88322C2311yescharacteristic
469C8×Dic53C2311yescharacteristic
470C2×#41×C53C2311yescharacteristic
471C22×Q8×C53C2311yescharacteristic
472C22×D4×C53—21no—
473C22×D4×C53C2311yescharacteristic
474C22×D4×C53C2311yescharacteristic
475AGL(1,ℤ/8)×C53—24no—
476C2×SD16×C53—24no—
477C2×SD16×C53C2311yescharacteristic
478C2×SD16×C53C2311yescharacteristic
479C2×SD16×C53C2311yescharacteristic
480C2×SD16×C53C2311yescharacteristic
481C2×SD16×C53C2311yescharacteristic
482C2×SD16×C53C2311yescharacteristic
483C2×D8×C53C2311yescharacteristic
484C2×D8×C53C2311yescharacteristic
485C2×D8×C53C2311yescharacteristic
486C2×M16×C53C2311yescharacteristic
487C22×C8×C53C2311yescharacteristic
488#127×C53C2311yescharacteristic
489#124×C53—21no—
490#124×C53C2311yescharacteristic
491C22⋊Q8×C53—21no—
492C22⋊Q8×C53C2311yescharacteristic
493#121×C53—21no—
494#121×C53—21no—
495#121×C53C2311yescharacteristic
496#121×C53C2311yescharacteristic
497#121×C53C2311yescharacteristic
498#120×C53—21no—
499#120×C53—21no—
500C4×Q8×C53C2311yescharacteristic
501C4×D4×C53—21no—
502C4×D4×C53C2311yescharacteristic
503C4×D4×C53C2311yescharacteristic
504#107×C53C2311yescharacteristic
505C4⋊C8×C53C2311yescharacteristic
506#103×C53C2311yescharacteristic
507#103×C53C2311yescharacteristic
508#102×C53C2311yescharacteristic
509#102×C53C2311yescharacteristic
510#102×C53C2311yescharacteristic
511#102×C53C2311yescharacteristic
512C22⋊C8×C53C2311yescharacteristic
513C22⋊C8×C53C2311yescharacteristic
514#97×C53C2311yescharacteristic
515C24×C53—21no—
516C24×C53—21no—
517C23×D53—21no—
518C23×D53—21no—
519C23×D53C2×D411yescharacteristic
520#41×C53—22no—
521#41×C53—41no—
522C2×Q8×C53—21no—
523C2×Q8×C53—22no—
524C2×Q8×C53—41no—
525C2×Q8×C53C2411yescharacteristic
526C2×Q8×C53C2411yescharacteristic
527C2×D4×C53—22no—
528C2×D4×C53—22no—
529C2×D4×C53—21no—
530C2×D4×C53—21no—
531C2×D4×C53—21no—
532C2×D4×C53—21no—
533C2×D4×C53—21no—
534C2×D4×C53—21no—
535C2×D4×C53—21no—
536C2×D4×C53—21no—
537C2×D4×C53—41no—
538C2×D4×C53—41no—
539C2×D4×C53—82no—
540C2×D4×C53C2×D411yescharacteristic
541C2×D4×C53C2411yescharacteristic
542C2×D4×C53C2411yescharacteristic
543C2×D4×C53C2411yescharacteristic
544C2×D4×C53C2411yescharacteristic
545C22×C4×C53—21no—
546C22×C4×C53—21no—
547C22×C4×C53—21no—
548C22×C4×C53C2411yescharacteristic
549C22×C4×C53C2411yescharacteristic
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—21no—
553C2×C22⋊D53—21no—
554C2×C22⋊D53—21no—
555C2×C22⋊D53—21no—
556C2×C22⋊D53—21no—
557C2×C22⋊D53—21no—
558C2×C22⋊D53—21no—
559C2×C22⋊D53—21no—
560C2×C22⋊D53—21no—
561C2×C22⋊D53—21no—
562C2×C22⋊D53—21no—
563C2×C22⋊D53—21no—
564C2×C22⋊D53—21no—
565C2×C22⋊D53—21no—
566C2×C22⋊D53—44no—
567C2×C22⋊D53—44no—
568C2×C22⋊D53—44no—
569C2×C22⋊D53—82no—
570C2×C22⋊D53C2×D411yescharacteristic
571C2×C22⋊D53C2×D411yescharacteristic
572C2×C22⋊D53C2×D411yescharacteristic
573C2×C22⋊D53C2×D411yescharacteristic
574C22×Dic53—21no—
575C22×Dic53—21no—
576C22×Dic53—21no—
577C22×Dic53—21no—
578C22×Dic53—21no—
579C22×Dic53—21no—
580C22×Dic53—21no—
581C22×Dic53—21no—
582C22×Dic53—21no—
583C22×Dic53—21no—
584C22×Dic53—21no—
585C22×Dic53—44no—
586C22×Dic53C2×D411yescharacteristic
587Q8×D53—22no—
588Q8×D53—22no—
589Q8×D53—22no—
590Q8×D53—22no—
591Q8×D53—22no—
592Q8×D53—22no—
593Q8×D53—41no—
594Q8×D53—41no—
595Q8×D53—41no—
596Q8×D53—44no—
597Q8×D53—44no—
598Q8×D53C2×D414yescomplemented
599#11719947—22no—
600#11719947—22no—
601#11719947—22no—
602#11719947—22no—
603#11719947—22no—
604#11719947—22no—
605#11719947—22no—
606#11719947—22no—
607#11719947—22no—
608#11719947—41no—
609#11719947—41no—
610#11719947—41no—
611#11719947—41no—
612#11719947—44no—
613#11719947—44no—
614#11719947—44no—
615#11719947—44no—
616#11719947—44no—
617#11719947C2×D414yes—
618D4×D53—22no—
619D4×D53—22no—
620D4×D53—22no—
621D4×D53—41no—
622D4×D53—44no—
623D4×D53—82no—
624#11719945—22no—
625#11719945—22no—
626#11719945—22no—
627#11719945—41no—
628#11719945—44no—
629C2×D212—21no—
630C2×D212C2×D411yescharacteristic
631C2×D212C2×D411yescharacteristic
632C2×D212C2411yescharacteristic
633C2×C4×D53—21no—
634C2×C4×D53—22no—
635C2×C4×D53—22no—
636C2×C4×D53—21no—
637C2×C4×D53—21no—
638C2×C4×D53—21no—
639C2×C4×D53—21no—
640C2×C4×D53—21no—
641C2×C4×D53—21no—
642C2×C4×D53—44no—
643C2×C4×D53C2×D411yescharacteristic
644C2×C4×D53C2×D411yescharacteristic
645C2×C4×D53C2411yescharacteristic
646C2×C4×D53C2411yescharacteristic
647C2×C4×D53C2411yescharacteristic
648C2×Dic106—21no—
649C2×Dic106—22no—
650C2×Dic106—22no—
651C2×Dic106—22no—
652C2×Dic106—21no—
653C2×Dic106—21no—
654C2×Dic106—21no—
655C2×Dic106—21no—
656C2×Dic106—21no—
657C2×Dic106—21no—
658C2×Dic106—21no—
659C2×Dic106—41no—
660C2×Dic106—41no—
661C2×Dic106—41no—
662C2×Dic106—44no—
663C2×Dic106—44no—
664C2×Dic106C2×D411yescharacteristic
665C2×Dic106C2411yescharacteristic
666C2×Dic106C2411yescharacteristic
667C2×Dic106C2411yescharacteristic
668C2×Dic106C2411yescharacteristic
669C2×Dic106C2411yescharacteristic
670SD16×C53—22no—
671SD16×C53—22no—
672SD16×C53—22no—
673SD16×C53—22no—
674SD16×C53—41no—
675SD16×C53C2×D414yescomplemented
676D8×C53—22no—
677D8×C53—22no—
678D8×C53—41no—
679M16×C53—22no—
680C2×C8×C53—22no—
681C2×C8×C53C2411yescharacteristic
682C2×C8×C53C2411yescharacteristic
683C2×C8×C53C2411yescharacteristic
684C2×C8×C53C2411yescharacteristic
685C4⋊C4×C53—21no—
686C4⋊C4×C53—21no—
687C4⋊C4×C53C2×D411yescharacteristic
688C4⋊C4×C53C2411yescharacteristic
689C4⋊C4×C53C2411yescharacteristic
690C22⋊C4×C53—21no—
691C22⋊C4×C53—21no—
692C22⋊C4×C53—21no—
693C22⋊C4×C53—21no—
694C22⋊C4×C53—21no—
695C22⋊C4×C53—21no—
696C22⋊C4×C53—21no—
697C22⋊C4×C53C2×D411yescharacteristic
698C22⋊C4×C53C2×D411yescharacteristic
699C42×C53—21no—
700C42×C53C2411yescharacteristic
701C22⋊Dic53—21no—
702C22⋊Dic53—21no—
703C22⋊Dic53—21no—
704C22⋊Dic53—21no—
705C22⋊Dic53—21no—
706C22⋊Dic53—21no—
707C22⋊Dic53—21no—
708C22⋊Dic53—21no—
709C22⋊Dic53—21no—
710C22⋊Dic53—21no—
711C22⋊Dic53—21no—
712C22⋊Dic53C2×D411yescharacteristic
713C22⋊Dic53C2×D411yescharacteristic
714#11719925—22no—
715#11719925—22no—
716#11719925—22no—
717#11719925C2×D414yescomplemented
718#11719924—22no—
719#11719924—41no—
720#11719923—22no—
721#11719923—22no—
722#11719923—22no—
723#11719923—22no—
724#11719923—22no—
725#11719923—22no—
726#11719923—22no—
727#11719923—41no—
728#11719923—41no—
729#11719923—41no—
730#11719923C2×D414yescomplemented
731#11719922—22no—
732#11719921—21no—
733#11719921—21no—
734#11719921—21no—
735#11719921—21no—
736#11719921—21no—
737#11719921—21no—
738#11719921—21no—
739#11719921—21no—
740#11719921—21no—
741#11719921C2×D411yescharacteristic
742#11719921C2×D411yescharacteristic
743#11719921C2×D411yescharacteristic
744#11719921C2×D411yescharacteristic
745#11719921C2×D411yescharacteristic
746#11719921C2×D411yescharacteristic
747C4⋊Dic53—21no—
748C4⋊Dic53—21no—
749C4⋊Dic53—21no—
750C4⋊Dic53—21no—
751C4⋊Dic53—21no—
752C4⋊Dic53—21no—
753C4⋊Dic53C2×D411yescharacteristic
754C4⋊Dic53C2411yescharacteristic
755C4⋊Dic53C2411yescharacteristic
756#11719919—21no—
757#11719919—21no—
758#11719919—21no—
759#11719919—21no—
760#11719919—21no—
761#11719919—21no—
762#11719919—21no—
763#11719919—21no—
764#11719919—21no—
765#11719919—21no—
766#11719919—21no—
767#11719919C2×D411yescharacteristic
768#11719919C2×D411yescharacteristic
769#11719919C2×D411yescharacteristic
770#11719919C2×D411yescharacteristic
771C4×Dic53—21no—
772C4×Dic53—21no—
773C4×Dic53—21no—
774C4×Dic53—21no—
775C4×Dic53—21no—
776C4×Dic53—21no—
777C4×Dic53C2411yescharacteristic
778C2×#88322—22no—
779C2×#88322—22no—
780C2×#88322C2411yescharacteristic
781C2×#88322C2411yescharacteristic
782C2×#88322C2411yescharacteristic
783C2×#88322C2411yescharacteristic
784Dic212—22no—
785Dic212—22no—
786Dic212—22no—
787Dic212—22no—
788Dic212—41no—
789Dic212C2×D414yescomplemented
790#11719913—22no—
791#11719913—22no—
792#11719913—41no—
793#11719912—22no—
794#11719912—22no—
795#11719912—22no—
796#11719912—22no—
797#11719912C2×D414yescomplemented
798C8×D53—22no—
799C8×D53—22no—
800C8×D53—22no—
801C23×C53—21no—
802C23×C53—21no—
803C23×C53—21no—
804C23×C53—21no—
805C23×C53—42no—
806C23×C53—42no—
807C23×C53—42no—
808C23×C53—81no—
809C23×C53—81no—
810C23×C53—81no—
811C23×C53C22×D411yescharacteristic
812C23×C53C22×D411yescharacteristic
813C22×D53—22no—
814C22×D53—22no—
815C22×D53—21no—
816C22×D53—41no—
817C22×D53—42no—
818C22×D53—42no—
819C22×D53—81no—
820C22×D53—81no—
821C22×D53—81no—
822C22×D53—81no—
823C22×D53C22×D411yescharacteristic
824C22×D53C22×D411yescharacteristic
825C22×D53C22×D411yescharacteristic
826Q8×C53—21no—
827Q8×C53—21no—
828Q8×C53—21no—
829Q8×C53—42no—
830Q8×C53C22×D412yes—
831D4×C53—22no—
832D4×C53—21no—
833D4×C53—21no—
834D4×C53—21no—
835D4×C53—21no—
836D4×C53—21no—
837D4×C53—21no—
838D4×C53—21no—
839D4×C53—42no—
840D4×C53—42no—
841D4×C53—42no—
842D4×C53—42no—
843D4×C53—42no—
844D4×C53—81no—
845D4×C53—81no—
846D4×C53—81no—
847D4×C53C22×D412yes—
848C2×C4×C53—21no—
849C2×C4×C53—21no—
850C2×C4×C53—21no—
851C2×C4×C53—21no—
852C2×C4×C53—21no—
853C2×C4×C53—21no—
854C2×C4×C53—21no—
855C2×C4×C53—21no—
856C2×C4×C53—42no—
857C2×C4×C53—42no—
858C2×C4×C53—81no—
859C2×C4×C53C22×D411yescharacteristic
860C2×C4×C53C22×D411yescharacteristic
861C2×C4×C53C22×D411yescharacteristic
862C2×C4×C53C22×D411yescharacteristic
863C2×C4×C53C2511yescharacteristic
864C22⋊D53—22no—
865C22⋊D53—22no—
866C22⋊D53—24no—
867C22⋊D53—22no—
868C22⋊D53—41no—
869C22⋊D53—42no—
870C22⋊D53—42no—
871C22⋊D53—42no—
872C22⋊D53—42no—
873C22⋊D53—42no—
874C22⋊D53—42no—
875C22⋊D53—42no—
876C22⋊D53—42no—
877C22⋊D53—42no—
878C22⋊D53—42no—
879C22⋊D53—42no—
880C22⋊D53—81no—
881C22⋊D53—81no—
882C22⋊D53—81no—
883C22⋊D53—81no—
884C2×Dic53—21no—
885C2×Dic53—21no—
886C2×Dic53—22no—
887C2×Dic53—24no—
888C2×Dic53—21no—
889C2×Dic53—21no—
890C2×Dic53—21no—
891C2×Dic53—21no—
892C2×Dic53—21no—
893C2×Dic53—42no—
894C2×Dic53—42no—
895C2×Dic53—42no—
896C2×Dic53—42no—
897C2×Dic53—42no—
898C2×Dic53—42no—
899C2×Dic53—42no—
900C2×Dic53—42no—
901C2×Dic53—42no—
902C2×Dic53—81no—
903C2×Dic53C22×D411yescharacteristic
904C2×Dic53C22×D411yescharacteristic
905C2×Dic53C22×D411yescharacteristic
906C2×Dic53C22×D411yescharacteristic
907C2×Dic53C22×D411yescharacteristic
908D212—22no—
909D212—21no—
910D212—21no—
911D212—41no—
912D212—81no—
913C4×D53—22no—
914C4×D53—24no—
915C4×D53—21no—
916C4×D53—21no—
917C4×D53—21no—
918C4×D53—21no—
919C4×D53—22no—
920C4×D53—42no—
921C4×D53—42no—
922C4×D53—42no—
923C4×D53—42no—
924C4×D53—42no—
925C4×D53—81no—
926C4×D53C22×D412yes—
927C4×D53H(5,𝔽2)12yes—
928Dic106—21no—
929Dic106—21no—
930Dic106—24no—
931Dic106—22no—
932Dic106—21no—
933Dic106—21no—
934Dic106—21no—
935Dic106—21no—
936Dic106—21no—
937Dic106—21no—
938Dic106—42no—
939Dic106—42no—
940Dic106—42no—
941Dic106—42no—
942Dic106—42no—
943Dic106—42no—
944Dic106—42no—
945Dic106C22×D412yes—
946Dic106C22×D412yes—
947C8×C53—21no—
948C8×C53—21no—
949C8×C53—21no—
950C8×C53C22×D412yes—
951#88322—21no—
952#88322—21no—
953#88322—21no—
954#88322C22×D412yes—
955#61075—531nomaximal, Sylow
956C22×C53—21no—
957C22×C53—21no—
958C22×C53—21no—
959C22×C53—22no—
960C22×C53—21no—
961C22×C53—21no—
962C22×C53—41no—
963C22×C53—41no—
964C22×C53—41no—
965C22×C53—41no—
966C22×C53—41no—
967C22×C53—41no—
968C22×C53—41no—
969C22×C53—41no—
970C22×C53—41no—
971C22×C53—41no—
972C22×C53—41no—
973C22×C53—84no—
974C22×C53—162no—
975C22×C53#57712yescomplemented
976C22×C53C23×D411yescharacteristic
977C2×D53—21no—
978C2×D53—21no—
979C2×D53—21no—
980C2×D53—21no—
981C2×D53—21no—
982C2×D53—21no—
983C2×D53—21no—
984C2×D53—21no—
985C2×D53—44no—
986C2×D53—41no—
987C2×D53—41no—
988C2×D53—41no—
989C2×D53—162no—
990C2×D53—162no—
991C2×D53D4212yes—
992C4×C53—21no—
993C4×C53—22no—
994C4×C53—21no—
995C4×C53—21no—
996C4×C53—21no—
997C4×C53—41no—
998C4×C53—41no—
999C4×C53—41no—
1000C4×C53C23×D411yescharacteristic
1001C4×C53C2×H(5,𝔽2)11yescharacteristic
1002Dic53—21no—
1003Dic53—22no—
1004Dic53—21no—
1005Dic53—22no—
1006Dic53—21no—
1007Dic53—21no—
1008Dic53—41no—
1009Dic53—41no—
1010Dic53—41no—
1011Dic53—41no—
1012Dic53—41no—
1013Dic53D4212yes—
1014C2×#577—531no—
1015C22×#137—531no—
1016#3488—531no—
1017#3486—531no—
1018#3285—531no—
1019#3285—531no—
1020D4×SD16—531no—
1021D4×SD16—531no—
1022#3278—531no—
1023#3278—531no—
1024#3275—531no—
1025#3275—531no—
1026#3271—531no—
1027#3271—531no—
1028#3270—531no—
1029#3270—531no—
1030#3266—531no—
1031#3266—531no—
1032#3265—531no—
1033#3265D5311yescharacteristic, complemented
1034#3154—531no—
1035#3063—531no—
1036#3055—531no—
1037#3046—531no—
1038#3043—531no—
1039#3013—531no—
1040#3009—531no—
1041#3002—531no—
1042C2×#448—531no—
1043#2947—531no—
1044#2933—531no—
1045C2×C53—22no—
1046C2×C53—42no—
1047C2×C53—41no—
1048C2×C53—81no—
1049C2×C53—81no—
1050C2×C53—81no—
1051C2×C53C2×D4211yescharacteristic
1052C2×C53C2×#57711yescharacteristic
1053C2×C53#358611yescharacteristic
1054D53—22no—
1055D53—41no—
1056D53—41no—
1057D53—81no—
1058C2×2−1+4—531no—
1059C2×H(5,𝔽2)—531no—
1060C22×#41—531no—
1061C23×Q8—531no—
1062#577—1068no—
1063C2×#137—531no—
1064C2×#137—531no—
1065C2×#137—531no—
1066C2×#137—531no—
1067C2×#137—531no—
1068C2×#137—531no—
1069C2×#137—531no—
1070C2×#137—531no—
1071C2×#137—531no—
1072C2×#137—531no—
1073C2×#137—1068no—
1074C2×AGL(1,ℤ/8)—531no—
1075C2×AGL(1,ℤ/8)—531no—
1076C2×AGL(1,ℤ/8)C2×D5311yescharacteristic, complemented
1077C2×#135—531no—
1078C2×#135—531no—
1079C2×#135—531no—
1080C2×#135—531no—
1081C22×Q16—531no—
1082C22×Q16—531no—
1083C22×SD16—531no—
1084C22×SD16—531no—
1085C22×SD16—531no—
1086C22×SD16—531no—
1087C22×SD16—531no—
1088C22×SD16C2×D5311yescharacteristic, complemented
1089C2×#131—531no—
1090C22×M16—531no—
1091#550—531no—
1092#550—531no—
1093D4×Q8—531no—
1094D4×Q8—531no—
1095D4×Q8—531no—
1096D4×Q8—531no—
1097D4×Q8—1061no—
1098D4×Q8—1061no—
1099#548—531no—
1100#548—531no—
1101#548—531no—
1102#548—531no—
1103#548—531no—
1104#548—1061no—
1105#548—1061no—
1106#548C2×D5311yescharacteristic, complemented
1107#546—531no—
1108#546—531no—
1109#546—1061no—
1110#546—1061no—
1111D42—531no—
1112D42—1061no—
1113D42—1061no—
1114D42C2×D5311yescharacteristic
1115#537—531no—
1116#537—1061no—
1117#536—531no—
1118#536—531no—
1119#536—1061no—
1120#536—1061no—
1121#535—531no—
1122#535—1061no—
1123#525—531no—
1124#525—531no—
1125#525—1061no—
1126#525—1061no—
1127#525—1061no—
1128C2×#121—531no—
1129C2×#121—1061no—
1130#520—531no—
1131#519—531no—
1132#497—531no—
1133#497—531no—
1134#496—531no—
1135#496C2×D5311yescharacteristic, complemented
1136#495—531no—
1137#495—531no—
1138#492—531no—
1139#492—531no—
1140#470—531no—
1141#470—531no—
1142#469—531no—
1143#469—531no—
1144#468—531no—
1145#468—531no—
1146#468—531no—
1147#468C2×D5311yescharacteristic, complemented
1148#467—531no—
1149#467—531no—
1150#466—531no—
1151#466C2×D5311yescharacteristic, complemented
1152#465—531no—
1153#465—531no—
1154#465—531no—
1155#465—531no—
1156#464—531no—
1157#464—531no—
1158#464—531no—
1159#464—531no—
1160#464—531no—
1161#464—531no—
1162#463—531no—
1163#463C2×D5311yescharacteristic, complemented
1164#462—531no—
1165#462—531no—
1166#461—531no—
1167#461—531no—
1168#460—531no—
1169#460—531no—
1170#460—531no—
1171#460C2×D5311yescharacteristic, complemented
1172#452—531no—
1173#452—531no—
1174#452—531no—
1175#452—531no—
1176#452—531no—
1177#452—531no—
1178#452—531no—
1179#452—531no—
1180#451—531no—
1181#451—531no—
1182#451—531no—
1183#450—531no—
1184#450—531no—
1185#450—531no—
1186#450—531no—
1187#450C2×D5311yescharacteristic, complemented
1188#449—531no—
1189#449—531no—
1190#449—531no—
1191#449C2×D5311yescharacteristic, complemented
1192#448—531no—
1193#448—531no—
1194#448—531no—
1195#448—531no—
1196#448—531no—
1197#448—531no—
1198#448—531no—
1199#448—531no—
1200#448—531no—
1201#448—531no—
1202#448C2×D5311yescharacteristic, complemented
1203#447C2×D5311yescharacteristic, complemented
1204#441—531no—
1205#441—531no—
1206#440—531no—
1207#440C2×D5311yescharacteristic, complemented
1208C4×Q16—531no—
1209C4×Q16—531no—
1210C4×SD16—531no—
1211C4×SD16—531no—
1212#436—531no—
1213#436—531no—
1214#435—531no—
1215#435—531no—
1216#435—531no—
1217#435C2×D5311yescharacteristic, complemented
1218C8×D4—531no—
1219C8×D4—531no—
1220#428—531no—
1221#424—531no—
1222#418—531no—
1223#417—531no—
1224#416—531no—
1225#416—531no—
1226C2×#103—531no—
1227C2×#103—531no—
1228#408—531no—
1229C2×C22⋊C8—531no—
1230#405—531no—
1231C53#6107511yescharacteristic, complemented, Sylow
12322−1+4—1064no—
12332−1+4—2122no—
1234H(5,𝔽2)—1064no—
1235H(5,𝔽2)—2122no—
1236C2×#41—531no—
1237C2×#41—531no—
1238C2×#41—531no—
1239C2×#41—531no—
1240C2×#41—531no—
1241C2×#41—531no—
1242C2×#41—531no—
1243C2×#41—531no—
1244C2×#41—531no—
1245C2×#41—1061no—
1246C2×#41—1061no—
1247C2×#41—1061no—
1248C2×#41—1061no—
1249C2×#41—1061no—
1250C2×#41—1061no—
1251C2×#41—1064no—
1252C2×#41—2122no—
1253C2×#41C22×D5311yescharacteristic
1254C22×Q8—531no—
1255C22×Q8—531no—
1256C22×Q8—531no—
1257C22×Q8—531no—
1258C22×Q8—531no—
1259C22×Q8—531no—
1260C22×Q8—531no—
1261C22×Q8—531no—
1262C22×Q8—1061no—
1263C22×Q8—1061no—
1264C22×Q8—1061no—
1265C22×Q8—1061no—
1266C22×Q8—1064no—
1267C22×Q8—2122no—
1268C22×Q8C22×D5311yescharacteristic
1269C22×D4—21no—
1270C22×D4—531no—
1271C22×D4—531no—
1272C22×D4—1061no—
1273C22×D4—1061no—
1274C22×D4—1061no—
1275C22×D4—1061no—
1276C22×D4—1061no—
1277C22×D4—1061no—
1278C22×D4C22×D5311yescharacteristic
1279C22×D4C22×D5311yescharacteristic
1280C23×C4—531no—
1281C23×C4—1061no—
1282C23×C4—1061no—
1283#137—538no—
1284#137—1064no—
1285#137—1064no—
1286#137—1064no—
1287#137—1064no—
1288#137—1064no—
1289#137—1064no—
1290#137—1064no—
1291#137—1064no—
1292#137—1064no—
1293AGL(1,ℤ/8)—24no—
1294AGL(1,ℤ/8)—1064no—
1295AGL(1,ℤ/8)—1064no—
1296#135—1064no—
1297#135—1064no—
1298#135—1064no—
1299#135—2122no—
1300C2×Q16—531no—
1301C2×Q16—531no—
1302C2×Q16—531no—
1303C2×Q16—531no—
1304C2×Q16—531no—
1305C2×Q16—531no—
1306C2×Q16—531no—
1307C2×Q16—531no—
1308C2×Q16—531no—
1309C2×Q16—531no—
1310C2×Q16—1064no—
1311C2×Q16—1064no—
1312C2×SD16—24no—
1313C2×SD16—531no—
1314C2×SD16—531no—
1315C2×SD16—531no—
1316C2×SD16—531no—
1317C2×SD16—531no—
1318C2×SD16—531no—
1319C2×SD16—531no—
1320C2×SD16—531no—
1321C2×SD16—531no—
1322C2×SD16—531no—
1323C2×SD16—531no—
1324C2×SD16—531no—
1325C2×SD16—531no—
1326C2×SD16—531no—
1327C2×SD16—531no—
1328C2×SD16—531no—
1329C2×SD16—1064no—
1330C2×SD16—1064no—
1331C2×SD16—1064no—
1332C2×SD16—1064no—
1333C2×SD16—2122no—
1334C2×SD16C22×D5311yescharacteristic
1335C2×SD16C22×D5311yescharacteristic
1336C2×SD16C22×D5311yescharacteristic
1337C2×SD16C22×D5311yescharacteristic
1338C2×SD16C22×D5311yescharacteristic
1339C2×SD16C22×D5311yescharacteristic
1340C2×D8—531no—
1341C2×D8C22×D5311yescharacteristic
1342C2×D8C22×D5311yescharacteristic
1343C2×D8C22×D5311yescharacteristic
1344#131—1064no—
1345C2×M16—531no—
1346C2×M16—531no—
1347C2×M16—531no—
1348C2×M16—531no—
1349C2×M16—531no—
1350C2×M16—1064no—
1351C2×M16C22×D5311yescharacteristic
1352C22×C8—531no—
1353C22×C8—531no—
1354C22×C8—531no—
1355C22×C8—531no—
1356C22×C8—531no—
1357C22×C8C22×D5311yescharacteristic
1358C4⋊Q8—531no—
1359C4⋊Q8—531no—
1360C4⋊Q8—1061no—
1361C4⋊Q8—1061no—
1362C4⋊Q8—1061no—
1363C4⋊Q8—1061no—
1364C4⋊Q8—1061no—
1365#127—531no—
1366#127—1061no—
1367#127—1061no—
1368#127C22×D5311yescharacteristic
1369#124—21no—
1370#124—531no—
1371#124—531no—
1372#124—531no—
1373#124—1061no—
1374#124—1061no—
1375#124—1061no—
1376#124—1061no—
1377#124—1061no—
1378#124—1061no—
1379#124C22×D5311yescharacteristic
1380#123—531no—
1381#123—531no—
1382#123—1061no—
1383#123—1061no—
1384#123—1061no—
1385#123—1061no—
1386#123—1061no—
1387#123—1061no—
1388#123—1061no—
1389C22⋊Q8—21no—
1390C22⋊Q8—531no—
1391C22⋊Q8—531no—
1392C22⋊Q8—531no—
1393C22⋊Q8—531no—
1394C22⋊Q8—531no—
1395C22⋊Q8—531no—
1396C22⋊Q8—531no—
1397C22⋊Q8—531no—
1398C22⋊Q8—531no—
1399C22⋊Q8—1061no—
1400C22⋊Q8—1061no—
1401C22⋊Q8—1061no—
1402C22⋊Q8—1061no—
1403C22⋊Q8—1061no—
1404C22⋊Q8—1061no—
1405C22⋊Q8—1061no—
1406C22⋊Q8—1061no—
1407C22⋊Q8—1061no—
1408C22⋊Q8—1061no—
1409C22⋊Q8—1061no—
1410C22⋊Q8—1061no—
1411C22⋊Q8—1061no—
1412C22⋊Q8—1061no—
1413C22⋊Q8—1061no—
1414C22⋊Q8—1061no—
1415C22⋊Q8C22×D5311yescharacteristic
1416#121—21no—
1417#121—21no—
1418#121—531no—
1419#121—531no—
1420#121—531no—
1421#121—531no—
1422#121—531no—
1423#121—531no—
1424#121—531no—
1425#121—1061no—
1426#121—1061no—
1427#121—1061no—
1428#121—1061no—
1429#121—1061no—
1430#121—1061no—
1431#121—1061no—
1432#121—1061no—
1433#121—1061no—
1434#121—1061no—
1435#121—1061no—
1436#121—1061no—
1437#121—1061no—
1438#121—1061no—
1439#121—1061no—
1440#121—1061no—
1441#121—1061no—
1442#121—1061no—
1443#121—1061no—
1444#121C22×D5311yescharacteristic
1445#121C22×D5311yescharacteristic
1446#121C22×D5311yescharacteristic
1447#120—21no—
1448#120—21no—
1449#120—531no—
1450#120—531no—
1451#120—1061no—
1452#120—1061no—
1453#120—1061no—
1454#120—1061no—
1455#120—1061no—
1456#120—1061no—
1457#120—1061no—
1458C4×Q8—531no—
1459C4×Q8—531no—
1460C4×Q8—531no—
1461C4×Q8—531no—
1462C4×Q8—531no—
1463C4×Q8—1061no—
1464C4×Q8—1061no—
1465C4×Q8C22×D5311yescharacteristic
1466C4×D4—21no—
1467C4×D4—531no—
1468C4×D4—531no—
1469C4×D4—531no—
1470C4×D4—531no—
1471C4×D4—1061no—
1472C4×D4—1061no—
1473C4×D4—1061no—
1474C4×D4—1061no—
1475C4×D4—1061no—
1476C4×D4—1061no—
1477C4×D4—1061no—
1478C4×D4—1061no—
1479C4×D4—1061no—
1480C4×D4—1061no—
1481C4×D4—1061no—
1482C4×D4—1061no—
1483C4×D4—1061no—
1484C4×D4—1061no—
1485C4×D4—1061no—
1486C4×D4C22×D5311yescharacteristic
1487C4×D4C22×D5311yescharacteristic
1488#117—531no—
1489#117—531no—
1490#117—1061no—
1491#117—1061no—
1492#117—1061no—
1493C2×C4⋊C4—531no—
1494C2×C4⋊C4—1061no—
1495C2×C22⋊C4—1061no—
1496C2×C22⋊C4—1061no—
1497C2×C22⋊C4—1061no—
1498#107—531no—
1499#107C22×D5311yescharacteristic
1500#106—531no—
1501#106—531no—
1502C4⋊C8—531no—
1503C4⋊C8—531no—
1504C4⋊C8—531no—
1505C4⋊C8C22×D5311yescharacteristic
1506#103—531no—
1507#103—531no—
1508#103—531no—
1509#103—531no—
1510#103—531no—
1511#103—531no—
1512#103—531no—
1513#103—531no—
1514#103—531no—
1515#103—531no—
1516#103—531no—
1517#103—531no—
1518#103C22×D5311yescharacteristic
1519#103C22×D5311yescharacteristic
1520#102—531no—
1521#102—531no—
1522#102—531no—
1523#102—531no—
1524#102—531no—
1525#102—531no—
1526#102C22×D5311yescharacteristic
1527#102C22×D5311yescharacteristic
1528#102C22×D5311yescharacteristic
1529#102C22×D5311yescharacteristic
1530C22⋊C8—531no—
1531C22⋊C8—531no—
1532C22⋊C8—531no—
1533C22⋊C8—531no—
1534C22⋊C8—531no—
1535C22⋊C8—531no—
1536C22⋊C8C22×D5311yescharacteristic
1537C22⋊C8C22×D5311yescharacteristic
1538#97—531no—
1539#97C22×D5311yescharacteristic
1540C4×C8—531no—
1541C4×C8—531no—
1542C24—21no—
1543C24—21no—
1544C24—531no—
1545C24—1061no—
1546C24—1061no—
1547#41—22no—
1548#41—41no—
1549#41—534no—
1550#41—1062no—
1551#41—1062no—
1552#41—1062no—
1553#41—1062no—
1554#41—1062no—
1555#41—1062no—
1556#41—1062no—
1557#41—1062no—
1558#41—1062no—
1559#41—1062no—
1560#41—1062no—
1561#41—1062no—
1562#41—2121no—
1563#41—2124no—
1564#41—2124no—
1565#41—2121no—
1566#41—2121no—
1567#41—2121no—
1568#41—2121no—
1569#41—2124no—
1570#41—2124no—
1571#41—2124no—
1572#41—2124no—
1573C2×Q8—21no—
1574C2×Q8—22no—
1575C2×Q8—41no—
1576C2×Q8—531no—
1577C2×Q8—534no—
1578C2×Q8—531no—
1579C2×Q8—531no—
1580C2×Q8—531no—
1581C2×Q8—531no—
1582C2×Q8—531no—
1583C2×Q8—1061no—
1584C2×Q8—1061no—
1585C2×Q8—1061no—
1586C2×Q8—1061no—
1587C2×Q8—1061no—
1588C2×Q8—1062no—
1589C2×Q8—1062no—
1590C2×Q8—1062no—
1591C2×Q8—1062no—
1592C2×Q8—1062no—
1593C2×Q8—1062no—
1594C2×Q8—1061no—
1595C2×Q8—1061no—
1596C2×Q8—1061no—
1597C2×Q8—1062no—
1598C2×Q8—1062no—
1599C2×Q8—1062no—
1600C2×Q8—2121no—
1601C2×Q8—2121no—
1602C2×Q8—2121no—
1603C2×Q8—2124no—
1604C2×Q8—2124no—
1605C2×Q8—2124no—
1606C2×Q8—2121no—
1607C2×Q8—2121no—
1608C2×Q8—2121no—
1609C2×Q8—2124no—
1610C2×Q8C23×D5311yescharacteristic
1611C2×Q8C23×D5311yescharacteristic
1612C2×D4—22no—
1613C2×D4—22no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—41no—
1623C2×D4—41no—
1624C2×D4—82no—
1625C2×D4—531no—
1626C2×D4—531no—
1627C2×D4—531no—
1628C2×D4—531no—
1629C2×D4—531no—
1630C2×D4—531no—
1631C2×D4—531no—
1632C2×D4—1061no—
1633C2×D4—1062no—
1634C2×D4—1062no—
1635C2×D4—1061no—
1636C2×D4—1061no—
1637C2×D4—1061no—
1638C2×D4—1061no—
1639C2×D4—1061no—
1640C2×D4—1062no—
1641C2×D4—1061no—
1642C2×D4—1061no—
1643C2×D4—1061no—
1644C2×D4—1061no—
1645C2×D4—1061no—
1646C2×D4—1061no—
1647C2×D4—1061no—
1648C2×D4—1061no—
1649C2×D4—1061no—
1650C2×D4—1061no—
1651C2×D4—1061no—
1652C2×D4—4242no—
1653C2×D4—4242no—
1654C2×D4—2121no—
1655C2×D4—2124no—
1656C2×D4—2124no—
1657C2×D4—2124no—
1658C2×D4—2124no—
1659C2×D4D4×D5311yescharacteristic
1660C2×D4C23×D5311yescharacteristic
1661C2×D4C23×D5311yescharacteristic
1662C2×D4C23×D5311yescharacteristic
1663C2×D4C23×D5311yescharacteristic
1664C22×C4—21no—
1665C22×C4—21no—
1666C22×C4—21no—
1667C22×C4—531no—
1668C22×C4—531no—
1669C22×C4—531no—
1670C22×C4—531no—
1671C22×C4—531no—
1672C22×C4—531no—
1673C22×C4—1062no—
1674C22×C4—1062no—
1675C22×C4—1061no—
1676C22×C4—1061no—
1677C22×C4—1061no—
1678C22×C4—1061no—
1679C22×C4—1061no—
1680C22×C4—1061no—
1681C22×C4—1061no—
1682C22×C4—1061no—
1683C22×C4—1061no—
1684C22×C4—1061no—
1685C22×C4—1061no—
1686C22×C4—1061no—
1687C22×C4—1061no—
1688C22×C4—1061no—
1689C22×C4—1061no—
1690C22×C4—1061no—
1691C22×C4—1061no—
1692C22×C4—1061no—
1693C22×C4—2124no—
1694C22×C4—2124no—
1695C22×C4C23×D5311yescharacteristic
1696C22×C4C23×D5311yescharacteristic
1697Q16—534no—
1698Q16—534no—
1699Q16—1062no—
1700Q16—1062no—
1701Q16—1062no—
1702Q16—1062no—
1703Q16—1062no—
1704Q16—1062no—
1705Q16—1062no—
1706Q16—2121no—
1707SD16—22no—
1708SD16—22no—
1709SD16—22no—
1710SD16—22no—
1711SD16—41no—
1712SD16—534no—
1713SD16—1062no—
1714SD16—1062no—
1715SD16—1062no—
1716SD16—1062no—
1717SD16—1062no—
1718SD16—1062no—
1719SD16—1062no—
1720SD16—1062no—
1721SD16—1062no—
1722SD16—1062no—
1723SD16—2121no—
1724SD16—2121no—
1725SD16—2121no—
1726SD16—2121no—
1727SD16—2121no—
1728SD16D4×D5314yescomplemented
1729D8—22no—
1730D8—22no—
1731D8—41no—
1732D8—1062no—
1733M16—22no—
1734M16—534no—
1735M16—1062no—
1736M16—1062no—
1737M16—1062no—
1738M16—1062no—
1739C2×C8—22no—
1740C2×C8—531no—
1741C2×C8—531no—
1742C2×C8—531no—
1743C2×C8—531no—
1744C2×C8—1062no—
1745C2×C8—1062no—
1746C2×C8—1062no—
1747C2×C8—1062no—
1748C2×C8—1062no—
1749C2×C8C23×D5311yescharacteristic
1750C2×C8C23×D5311yescharacteristic
1751C2×C8C23×D5311yescharacteristic
1752C2×C8C23×D5311yescharacteristic
1753C4⋊C4—21no—
1754C4⋊C4—21no—
1755C4⋊C4—531no—
1756C4⋊C4—531no—
1757C4⋊C4—531no—
1758C4⋊C4—531no—
1759C4⋊C4—531no—
1760C4⋊C4—531no—
1761C4⋊C4—531no—
1762C4⋊C4—1061no—
1763C4⋊C4—1061no—
1764C4⋊C4—1061no—
1765C4⋊C4—1061no—
1766C4⋊C4—1061no—
1767C4⋊C4—1061no—
1768C4⋊C4—1061no—
1769C4⋊C4—1061no—
1770C4⋊C4—1061no—
1771C4⋊C4—1061no—
1772C4⋊C4—1061no—
1773C4⋊C4—1061no—
1774C4⋊C4—1061no—
1775C4⋊C4—1061no—
1776C4⋊C4—1061no—
1777C4⋊C4—1061no—
1778C4⋊C4—1061no—
1779C4⋊C4D4×D5311yescharacteristic
1780C4⋊C4C23×D5311yescharacteristic
1781C4⋊C4C23×D5311yescharacteristic
1782C22⋊C4—21no—
1783C22⋊C4—21no—
1784C22⋊C4—21no—
1785C22⋊C4—21no—
1786C22⋊C4—21no—
1787C22⋊C4—21no—
1788C22⋊C4—21no—
1789C22⋊C4—531no—
1790C22⋊C4—531no—
1791C22⋊C4—531no—
1792C22⋊C4—531no—
1793C22⋊C4—531no—
1794C22⋊C4—531no—
1795C22⋊C4—531no—
1796C22⋊C4—531no—
1797C22⋊C4—1061no—
1798C22⋊C4—1061no—
1799C22⋊C4—1061no—
1800C22⋊C4—1061no—
1801C22⋊C4—1061no—
1802C22⋊C4—1061no—
1803C22⋊C4—1061no—
1804C22⋊C4—1061no—
1805C22⋊C4—1061no—
1806C22⋊C4—1061no—
1807C22⋊C4—1061no—
1808C22⋊C4—1061no—
1809C22⋊C4—1061no—
1810C22⋊C4—1061no—
1811C22⋊C4—1061no—
1812C22⋊C4—1061no—
1813C22⋊C4—1061no—
1814C22⋊C4—1061no—
1815C22⋊C4—1061no—
1816C22⋊C4—1061no—
1817C22⋊C4D4×D5311yescharacteristic
1818C22⋊C4D4×D5311yescharacteristic
1819C42—21no—
1820C42—531no—
1821C42—1061no—
1822C42—1061no—
1823C42—1061no—
1824C42—1061no—
1825C42—1061no—
1826C42—1061no—
1827C42C23×D5311yescharacteristic
1828C23—21no—
1829C23—21no—
1830C23—21no—
1831C23—21no—
1832C23—42no—
1833C23—42no—
1834C23—42no—
1835C23—81no—
1836C23—81no—
1837C23—81no—
1838C23—531no—
1839C23—531no—
1840C23—531no—
1841C23—1062no—
1842C23—1062no—
1843C23—1061no—
1844C23—4241no—
1845C23—4241no—
1846C23—4241no—
1847C23—4241no—
1848C23—2122no—
1849C23—2121no—
1850C23—2122no—
1851C23C2×D4×D5311yescharacteristic
1852C23C2×D4×D5311yescharacteristic
1853Q8—21no—
1854Q8—21no—
1855Q8—21no—
1856Q8—42no—
1857Q8—532no—
1858Q8—532no—
1859Q8—1064no—
1860Q8—1062no—
1861Q8—1061no—
1862Q8—1061no—
1863Q8—1061no—
1864Q8—1061no—
1865Q8—1061no—
1866Q8—1061no—
1867Q8—1061no—
1868Q8—1061no—
1869Q8—2122no—
1870Q8—2122no—
1871Q8—2122no—
1872Q8—2122no—
1873Q8—2122no—
1874Q8—2122no—
1875Q8—2122no—
1876Q8C2×D4×D5312yes—
1877D4—22no—
1878D4—21no—
1879D4—21no—
1880D4—21no—
1881D4—21no—
1882D4—21no—
1883D4—21no—
1884D4—21no—
1885D4—42no—
1886D4—42no—
1887D4—42no—
1888D4—42no—
1889D4—42no—
1890D4—81no—
1891D4—81no—
1892D4—81no—
1893D4—1062no—
1894D4—1062no—
1895D4—1062no—
1896D4—1064no—
1897D4—1062no—
1898D4—1061no—
1899D4—1061no—
1900D4—4241no—
1901D4—4241no—
1902D4—4241no—
1903D4—4241no—
1904D4—4241no—
1905D4—2121no—
1906D4—2122no—
1907D4—2121no—
1908D4—2122no—
1909D4—2122no—
1910D4—2122no—
1911D4—2122no—
1912D4—2122no—
1913D4—2122no—
1914D4—2122no—
1915D4—2122no—
1916D4—2122no—
1917D4—2122no—
1918D4C2×D4×D5312yes—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—42no—
1928C2×C4—42no—
1929C2×C4—81no—
1930C2×C4—531no—
1931C2×C4—532no—
1932C2×C4—532no—
1933C2×C4—531no—
1934C2×C4—531no—
1935C2×C4—531no—
1936C2×C4—531no—
1937C2×C4—1062no—
1938C2×C4—1062no—
1939C2×C4—1064no—
1940C2×C4—1062no—
1941C2×C4—1064no—
1942C2×C4—1061no—
1943C2×C4—1061no—
1944C2×C4—1061no—
1945C2×C4—1061no—
1946C2×C4—1061no—
1947C2×C4—1061no—
1948C2×C4—1061no—
1949C2×C4—1061no—
1950C2×C4—1061no—
1951C2×C4—1061no—
1952C2×C4—1061no—
1953C2×C4—4241no—
1954C2×C4—4241no—
1955C2×C4—2122no—
1956C2×C4—2122no—
1957C2×C4—2122no—
1958C2×C4—2122no—
1959C2×C4—2122no—
1960C2×C4—2122no—
1961C2×C4—2122no—
1962C2×C4—2122no—
1963C2×C4—2122no—
1964C2×C4—2122no—
1965C2×C4—2122no—
1966C2×C4—2122no—
1967C2×C4—2122no—
1968C2×C4—2122no—
1969C2×C4C2×D4×D5311yescharacteristic
1970C2×C4C2×D4×D5311yescharacteristic
1971C2×C4C2×D4×D5311yescharacteristic
1972C2×C4C2×D4×D5311yescharacteristic
1973C2×C4C24×D5311yescharacteristic
1974C8—21no—
1975C8—21no—
1976C8—21no—
1977C8—532no—
1978C8—1061no—
1979C8—1061no—
1980C8—1061no—
1981C8C2×D4×D5312yes—
1982C22—21no—
1983C22—21no—
1984C22—21no—
1985C22—22no—
1986C22—21no—
1987C22—21no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—41no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—84no—
2000C22—162no—
2001C22—532no—
2002C22—8482no—
2003C22—8482no—
2004C22—1061no—
2005C22—1061no—
2006C22—1061no—
2007C22—1061no—
2008C22—1061no—
2009C22—1061no—
2010C22—1061no—
2011C22—1061no—
2012C22—2124no—
2013C22—2121no—
2014C22—2121no—
2015C22—2121no—
2016C22#1681143312yescomplemented
2017C22C22×D4×D5311yescharacteristic
2018C4—21no—
2019C4—21no—
2020C4—22no—
2021C4—21no—
2022C4—21no—
2023C4—41no—
2024C4—41no—
2025C4—41no—
2026C4—532no—
2027C4—1061no—
2028C4—1061no—
2029C4—1062no—
2030C4—1062no—
2031C4—1061no—
2032C4—1061no—
2033C4—2121no—
2034C4—2121no—
2035C4—2121no—
2036C4—2121no—
2037C4—2121no—
2038C4C22×D4×D5311yescharacteristic
2039C4H(5,𝔽2)×D5311yescharacteristic
2040C2—22no—
2041C2—41no—
2042C2—42no—
2043C2—81no—
2044C2—81no—
2045C2—81no—
2046C2—1062no—
2047C2—4241no—
2048C2—2121no—
2049C2—2121no—
2050C2D42×D5311yescharacteristic
2051C2C2×#1681143311yescharacteristic
2052C2#2028949711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3265C2
socleC22×C53C23×D4
hypercenter#3265D53
hypocenterC53#61075
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. C2×#16811433C2semidirect
2. C22×#13133246C2semidirect
3. #20288375C2semidirect
4. #20288361C2semidirect
5. #20286453C2semidirect
6. #20286452C2semidirect
7. D4×#11719923C2semidirect
8. SD16×C22⋊D53C2semidirect
9. #20286384C2semidirect
10. #20286378C2semidirect
11. #20286352C2semidirect
12. #20286346C2semidirect
13. #20286299C2semidirect
14. #20286293C2semidirect
15. #20286290C2semidirect
16. #20286278C2semidirect
17. #20286229C2semidirect
18. #20286227C2semidirect
19. #20286214C2semidirect
20. #20285188C2semidirect
21. #20284401C2semidirect
22. #20284331C2semidirect
23. #20284266C2semidirect
24. #20284231C2semidirect
25. #20284028C2semidirect
26. #20283987C2semidirect
27. #20283928C2semidirect
28. #448×D53C2semidirect
29. #20283555C2semidirect
30. #20283441C2semidirect
31. C53×#3265C2semidirect
32. C2×#13133264C22semidirect
35. C22×Q8×D53C22semidirect
37. C2×#13133250C22semidirect
41. C2×#13133246C22semidirect
42. C2×#13133246C22semidirect
43. C2×#13133246C22semidirect
44. C2×#13133246C22semidirect
45. C2×#13133246C22semidirect
46. C2×#13133246C22semidirect
47. C2×#13133246C22semidirect
48. C2×#13133241C22semidirect
49. C2×#13133241C22semidirect
50. C2×#13133237C22semidirect
52. C2×#13133236C22semidirect
53. C2×#13133236C22semidirect
54. C22×Dic212C22semidirect
55. C22×#11719925C22semidirect
56. C22×#11719923C22semidirect
57. C22×#11719923C22semidirect
58. C2×SD16×D53C22semidirect
59. C2×SD16×D53C22semidirect
60. C2×SD16×D53C22semidirect
61. C2×#13133225C22semidirect
62. C22×#11719912C22semidirect
65. Q8×D212C22semidirect
67. D4×Dic106C22semidirect
68. Q8×C22⋊D53C22semidirect
70. #16811286C22semidirect
73. #16811281C22semidirect
74. #16811280C22semidirect
77. #16811279C22semidirect
88. #16811196C22semidirect
90. #16811193C22semidirect
94. #16811133C22semidirect
101. #16811099C22semidirect
102. #16811017C22semidirect
103. #16811014C22semidirect
104. #16811011C22semidirect
105. #16811006C22semidirect
106. #16811005C22semidirect
107. #16810995C22semidirect
108. #16810994C22semidirect
109. #16810881C22semidirect
110. #16810880C22semidirect
111. #16810875C22semidirect
112. #16810873C22semidirect
113. #16810870C22semidirect
114. #16810868C22semidirect
115. #16810868C22semidirect
116. #16810865C22semidirect
117. #16810862C22semidirect
118. #16810857C22semidirect
119. #16810852C22semidirect
120. #16810850C22semidirect
121. #16810850C22semidirect
122. #16810849C22semidirect
123. #16810846C22semidirect
124. #16810845C22semidirect
125. #16810844C22semidirect
126. #16810844C22semidirect
127. #16810843C22semidirect
128. #16810842C22semidirect
129. #16810836C22semidirect
130. #16810834C22semidirect
131. #16810832C22semidirect
132. #16810828C22semidirect
133. #16810826C22semidirect
134. #16810822C22semidirect
135. #16810821C22semidirect
136. #16810820C22semidirect
137. #16810787C22semidirect
138. #16810786C22semidirect
139. #16810786C22semidirect
140. #16810786C22semidirect
141. #16810786C22semidirect
142. #16810785C22semidirect
143. #16810783C22semidirect
144. #16810782C22semidirect
145. #16810781C22semidirect
146. #16810781C22semidirect
147. #16810780C22semidirect
148. #16810775C22semidirect
149. #16810774C22semidirect
150. #16810774C22semidirect
151. #16810772C22semidirect
152. #16810765C22semidirect
153. #16810765C22semidirect
154. #16810765C22semidirect
155. #16810764C22semidirect
156. #16810763C22semidirect
157. #16810763C22semidirect
158. #16810762C22semidirect
159. #16810761C22semidirect
160. #16810761C22semidirect
161. #16810761C22semidirect
162. #16810760C22semidirect
163. #16810760C22semidirect
164. #16810760C22semidirect
165. #16810731C22semidirect
166. #16810727C22semidirect
167. #16810720C22semidirect
168. #16810717C22semidirect
169. C4×#11719925C22semidirect
170. SD16×Dic53C22semidirect
171. C4×#11719923C22semidirect
172. #16810700C22semidirect
173. #16810699C22semidirect
174. #16810696C22semidirect
175. #16810691C22semidirect
176. #16810691C22semidirect
177. D4×#88322C22semidirect
178. C8×C22⋊D53C22semidirect
179. #16810664C22semidirect
180. #16810648C22semidirect
181. #16810626C22semidirect
182. #16810621C22semidirect
184. #16810616C22semidirect
185. #103×D53C22semidirect
186. #103×D53C22semidirect
187. #16810588C22semidirect
188. C22⋊C8×D53C22semidirect
189. #16810580C22semidirect
190. C2×AGL(1,ℤ/8)×C53C22semidirect
191. C22×SD16×C53C22semidirect
192. C53×#548C22semidirect
194. C53×#496C22semidirect
195. C53×#468C22semidirect
196. C53×#466C22semidirect
197. C53×#463C22semidirect
198. C53×#460C22semidirect
199. C53×#450C22semidirect
200. C53×#449C22semidirect
201. C53×#448C22semidirect
202. C53×#447C22semidirect
203. C53×#440C22semidirect
204. C53×#435C22semidirect
260. #13133246D4semidirect
598. Q8×D53C2×D4semidirect
675. SD16×C53C2×D4semidirect
717. #11719925C2×D4semidirect
730. #11719923C2×D4semidirect
789. Dic212C2×D4semidirect
797. #11719912C2×D4semidirect
975. C22×C53#577semidirect
1033. #3265D53semidirect
1076. C2×AGL(1,ℤ/8)C2×D53semidirect
1088. C22×SD16C2×D53semidirect
1106. #548C2×D53semidirect
1135. #496C2×D53semidirect
1147. #468C2×D53semidirect
1151. #466C2×D53semidirect
1163. #463C2×D53semidirect
1171. #460C2×D53semidirect
1187. #450C2×D53semidirect
1191. #449C2×D53semidirect
1202. #448C2×D53semidirect
1203. #447C2×D53semidirect
1207. #440C2×D53semidirect
1217. #435C2×D53semidirect
1231. C53#61075semidirect
1728. SD16D4×D53semidirect
2016. C22#16811433semidirect

Maximal subgroups

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

subgroupindex
C2×#168114332
C22×#131332462
#202883752
#202883612
#202864532
#202864522
D4×#117199232
SD16×C22⋊D532
#202863842
#202863782
#202863522
#202863462
#202862992
#202862932
#202862902
#202862782
#202862292
#202862272
#202862142
#202851882
#202844012
#202843312
#202842662
#202842312
#202840282
#202839872
#202839282
#448×D532
#202835552
#202834412
C53×#32652
#6107553