Finite Group Databasebeta

← D59×#3267 #29463678

Subgroups — D59×#3267 #29463678

Order 15104.

2914 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×AGL(1,ℤ/8)×D59C211yesmaximal, characteristic, complemented
2C2×#135×D59C211yesmaximal, characteristic, complemented
3#547×D59C211yesmaximal, characteristic, complemented
4#546×D59C211yesmaximal, characteristic, complemented
5#21435628C211yesmaximal, characteristic, complemented
6#21435627C211yesmaximal, characteristic, complemented
7#21435626C211yesmaximal, characteristic, complemented
8#21435625C211yesmaximal, characteristic, complemented
9#21435624C211yesmaximal, characteristic, complemented
10#21435623C211yesmaximal, characteristic, complemented
11#21435622C211yesmaximal, characteristic, complemented
12#21435621C211yesmaximal, characteristic, complemented
13#21435620C211yesmaximal, characteristic, complemented
14#21435619C211yesmaximal, characteristic, complemented
15#21435618C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435616C211yesmaximal, characteristic, complemented
18#21435615C211yesmaximal, characteristic, complemented
19#21435614C211yesmaximal, characteristic, complemented
20#497×D59C211yesmaximal, characteristic, complemented
21#470×D59C211yesmaximal, characteristic, complemented
22#465×D59C211yesmaximal, characteristic, complemented
23#463×D59C211yesmaximal, characteristic, complemented
24#461×D59C211yesmaximal, characteristic, complemented
25#452×D59C211yesmaximal, characteristic, complemented
26#452×D59C211yesmaximal, characteristic, complemented
27#449×D59C211yesmaximal, characteristic, complemented
28#450×D59C211yesmaximal, characteristic, complemented
29#442×D59C211yesmaximal, characteristic, complemented
30#435×D59C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#41×D59C2211yescharacteristic, complemented
35C22×D4×D59C2211yescharacteristic
36C2×#14273755C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273753C2211yescharacteristic, complemented
40C2×#14273752C2211yescharacteristic, complemented
41C2×#14273751C2211yescharacteristic, complemented
42C2×#14273751C2211yescharacteristic, complemented
43AGL(1,ℤ/8)×D59—28no—
44C2×#14273750C2211yescharacteristic, complemented
45C2×#14273749C2211yescharacteristic, complemented
46C2×#14273748C2211yescharacteristic, complemented
47C2×#14273748C2211yescharacteristic, complemented
48C2×#14273747C2211yescharacteristic, complemented
49C2×#14273747C2211yescharacteristic, complemented
50C2×#14273746C2211yescharacteristic, complemented
51#135×D59—28no—
52C2×Q16×D59C2211yescharacteristic, complemented
53C2×Q16×D59C2211yescharacteristic, complemented
54C2×SD16×D59C2211yescharacteristic
55C2×SD16×D59C2211yescharacteristic
56C2×SD16×D59C2211yescharacteristic
57C2×SD16×D59C2211yescharacteristic
58C2×SD16×D59C2211yescharacteristic, complemented
59C2×D8×D59C2211yescharacteristic
60C2×D8×D59C2211yescharacteristic
61C2×M16×D59C2211yescharacteristic
62C22×C8×D59C2211yescharacteristic, complemented
63#16838057C2211yescharacteristic, complemented
64#16838056C2211yescharacteristic, complemented
65#16838055C2211yescharacteristic, complemented
66#16838054C2211yescharacteristic, complemented
67#16838054C2211yescharacteristic, complemented
68#16838053—21no—
69#16838052—21no—
70#16838051C2211yescharacteristic, complemented
71#16838051C2211yescharacteristic, complemented
72#16838050—21no—
73#16838050—21no—
74#16838049C2211yescharacteristic, complemented
75#16838048C2211yescharacteristic, complemented
76#16838047C2211yescharacteristic, complemented
77#16838046C2211yescharacteristic, complemented
78#16838045C2211yescharacteristic, complemented
79#16838044—21no—
80#16838043C2211yescharacteristic, complemented
81#16838042—21no—
82#16838041—21no—
83#16838040C2211yescharacteristic, complemented
84#16838039—21no—
85C4⋊Q8×D59C2211yescharacteristic, complemented
86#124×D59C2211yescharacteristic
87#123×D59—21no—
88#123×D59—21no—
89#123×D59—21no—
90C22⋊Q8×D59C2211yescharacteristic
91C22⋊Q8×D59C2211yescharacteristic
92C22⋊Q8×D59C2211yescharacteristic, complemented
93#121×D59—21no—
94#121×D59—21no—
95#121×D59C2211yescharacteristic
96#120×D59—21no—
97C4×D4×D59C2211yescharacteristic
98C4×D4×D59C2211yescharacteristic
99C4×D4×D59C2211yescharacteristic, complemented
100C2×C4⋊C4×D59—21no—
101C2×C22⋊C4×D59—21no—
102#16837797C2211yescharacteristic, complemented
103#16837796C2211yescharacteristic, complemented
104#16837795C2211yescharacteristic, complemented
105#16837795C2211yescharacteristic, complemented
106#16837794C2211yescharacteristic, complemented
107#16837793C2211yescharacteristic, complemented
108#16837793C2211yescharacteristic, complemented
109#16837661C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837659C2211yescharacteristic, complemented
113#16837658C2211yescharacteristic, complemented
114#16837658C2211yescharacteristic, complemented
115#16837657C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837628C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837608C2211yescharacteristic, complemented
131#16837607C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837604C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837567C2211yescharacteristic, complemented
139#16837566C2211yescharacteristic, complemented
140#16837566C2211yescharacteristic, complemented
141#16837565C2211yescharacteristic, complemented
142#16837565C2211yescharacteristic, complemented
143#16837564C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837563C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic, complemented
148#16837562C2211yescharacteristic, complemented
149#16837561C2211yescharacteristic, complemented
150#16837561C2211yescharacteristic, complemented
151#16837555C2211yescharacteristic, complemented
152#16837554C2211yescharacteristic, complemented
153#16837554C2211yescharacteristic, complemented
154#16837553C2211yescharacteristic, complemented
155#16837552C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic, complemented
157#16837551C2211yescharacteristic, complemented
158#16837550C2211yescharacteristic, complemented
159#16837549C2211yescharacteristic, complemented
160#16837548C2211yescharacteristic, complemented
161#16837547C2211yescharacteristic, complemented
162#16837546C2211yescharacteristic, complemented
163#16837545C2211yescharacteristic, complemented
164#16837544C2211yescharacteristic, complemented
165#16837515C2211yescharacteristic, complemented
166#16837514C2211yescharacteristic, complemented
167#16837513C2211yescharacteristic, complemented
168#16837512C2211yescharacteristic, complemented
169#16837512C2211yescharacteristic, complemented
170#16837511C2211yescharacteristic, complemented
171#16837511C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837474C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837472C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837470C2211yescharacteristic, complemented
179#106×D59C2211yescharacteristic, complemented
180C4⋊C8×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185#102×D59C2211yescharacteristic
186#102×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic
188C22⋊C8×D59C2211yescharacteristic, complemented
189#97×D59C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
191C2×#135×C59C2211yescharacteristic, complemented
192C59×#547C2211yescharacteristic, complemented
193C59×#546C2211yescharacteristic, complemented
194C59×#497C2211yescharacteristic, complemented
195C59×#470C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#461C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#452C2211yescharacteristic, complemented
201C59×#450C2211yescharacteristic, complemented
202C59×#449C2211yescharacteristic, complemented
203C59×#442C2211yescharacteristic, complemented
204C59×#435C2211yescharacteristic, complemented
205C24×D59—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic, complemented
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic, complemented
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687—21no—
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic, complemented
221#41×D59—24no—
222#41×D59—24no—
223#41×D59—24no—
224#41×D59—42no—
225#41×D59—42no—
226#41×D59—42no—
227C2×Q8×D59C2311yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C2×Q8×D59C2311yescharacteristic
230C22×D236C2311yescharacteristic
231C22×C22⋊D59—21no—
232C2×D4×D59—24no—
233C2×D4×D59—21no—
234C2×D4×D59—21no—
235C2×D4×D59—21no—
236C2×D4×D59—21no—
237C2×D4×D59—21no—
238C2×D4×D59—21no—
239C2×D4×D59—42no—
240C2×D4×D59D411yescharacteristic
241C2×D4×D59C2311yescharacteristic
242C2×D4×D59C2311yescharacteristic
243C2×D4×D59C2311yescharacteristic
244C2×D4×D59C2311yescharacteristic
245C2×D4×D59C2311yescharacteristic
246C22×C4×D59—21no—
247C22×C4×D59—21no—
248C22×C4×D59—21no—
249C22×C4×D59—21no—
250C22×C4×D59—21no—
251C22×C4×D59C2311yescharacteristic
252C22×C4×D59C2311yescharacteristic
253#14273755—24no—
254#14273754—24no—
255#14273754—24no—
256#14273753—24no—
257#14273752—24no—
258#14273751—24no—
259#14273751—24no—
260#14273750—24no—
261#14273749—24no—
262#14273748—24no—
263#14273748—24no—
264#14273747—24no—
265#14273747—24no—
266#14273746—24no—
267C2×Dic236C2311yescharacteristic, complemented
268C2×Dic236C2311yescharacteristic, complemented
269C2×#11745672C2311yescharacteristic, complemented
270C2×#11745672C2311yescharacteristic, complemented
271C2×#11745672C2311yescharacteristic, complemented
272C2×#11745672C2311yescharacteristic, complemented
273Q16×D59—24no—
274Q16×D59—42no—
275C2×#11745660C2311yescharacteristic
276C2×#11745660C2311yescharacteristic
277C2×#11745660C2311yescharacteristic
278C2×#11745660C2311yescharacteristic
279C2×#11745660C2311yescharacteristic, complemented
280C2×#11745670C2311yescharacteristic
281C2×#11745670C2311yescharacteristic
282C2×#11745670C2311yescharacteristic
283C2×#11745670C2311yescharacteristic
284C2×#11745670C2311yescharacteristic, complemented
285C2×#11745671C2311yescharacteristic
286C2×#11745671C2311yescharacteristic
287C2×#11745671C2311yescharacteristic
288C2×#11745671C2311yescharacteristic
289C2×#11745671C2311yescharacteristic, complemented
290SD16×D59—24no—
291SD16×D59—24no—
292SD16×D59—24no—
293SD16×D59—24no—
294SD16×D59—42no—
295C2×D472C2311yescharacteristic
296C2×D472C2311yescharacteristic
297C2×#11745669C2311yescharacteristic
298C2×#11745669C2311yescharacteristic
299C2×#11745669C2311yescharacteristic
300C2×#11745669C2311yescharacteristic
301D8×D59—24no—
302D8×D59D418yescomplemented
303C2×#11745664C2311yescharacteristic
304C2×#11745659C2311yescharacteristic
305C2×#11745659C2311yescharacteristic
306M16×D59—24no—
307C22×C59⋊C8C2311yescharacteristic, complemented
308C2×C8×D59—24no—
309C2×C8×D59C2311yescharacteristic
310C2×C8×D59C2311yescharacteristic
311C2×C8×D59C2311yescharacteristic
312C2×C8×D59C2311yescharacteristic
313C2×C8×D59C2311yescharacteristic, complemented
314C2×C8×D59C2311yescharacteristic, complemented
315#14273727C2311yescharacteristic, complemented
316#14273726—21no—
317#14273726—21no—
318#14273725C2311yescharacteristic, complemented
319#14273725C2311yescharacteristic, complemented
320#14273716C2311yescharacteristic
321#14273715C2311yescharacteristic
322#14273714C2311yescharacteristic
323#14273713—21no—
324#14273713—21no—
325#14273712—21no—
326#14273712—21no—
327#14273712—21no—
328#14273712—21no—
329#14273712—21no—
330#14273712—21no—
331#14273711—21no—
332#14273711—21no—
333#14273711—21no—
334#14273710—21no—
335#14273710—21no—
336#14273710—21no—
337#14273709—21no—
338#14273709—21no—
339#14273709—21no—
340#14273709—21no—
341#14273709—21no—
342#14273709—21no—
343#14273708—21no—
344#14273708—21no—
345#14273708—21no—
346#14273707C2311yescharacteristic
347#14273707C2311yescharacteristic
348#14273707C2311yescharacteristic, complemented
349#14273706C2311yescharacteristic
350#14273706C2311yescharacteristic
351#14273706C2311yescharacteristic, complemented
352#14273705—21no—
353#14273705—21no—
354#14273705—21no—
355#14273704—21no—
356#14273704—21no—
357#14273704—21no—
358#14273703C2311yescharacteristic
359#14273703C2311yescharacteristic
360#14273703C2311yescharacteristic, complemented
361#14273702—21no—
362#14273702—21no—
363#14273702C2311yescharacteristic
364#14273701—21no—
365#14273701—21no—
366#14273701C2311yescharacteristic
367#14273700—21no—
368#14273700—21no—
369#14273700—21no—
370#14273700—21no—
371#14273700—21no—
372#14273699—21no—
373#14273699—21no—
374#14273699—21no—
375#14273699—21no—
376#14273699—21no—
377#14273698—21no—
378#14273698—21no—
379#14273698C2311yescharacteristic
380#14273697—21no—
381#14273697—21no—
382#14273697—21no—
383#14273696—21no—
384#14273695—21no—
385#14273695—21no—
386#14273695—21no—
387C4×D236C2311yescharacteristic
388C4×D236C2311yescharacteristic
389C4×D236C2311yescharacteristic, complemented
390D4×Dic59D411yescharacteristic
391D4×Dic59C2311yescharacteristic
392D4×Dic59C2311yescharacteristic, complemented
393#14273689D411yescharacteristic
394#14273689C2311yescharacteristic
395#14273689C2311yescharacteristic, complemented
396C4×C22⋊D59—21no—
397C4×C22⋊D59—21no—
398C4×C22⋊D59C2311yescharacteristic
399C4×C22⋊D59C2311yescharacteristic
400(C22⋊D59)⋊C4—21no—
401(C22⋊D59)⋊C4—21no—
402(C22⋊D59)⋊C4D411yescharacteristic
403(C22⋊D59)⋊C4D411yescharacteristic
404C2×C4⋊Dic59—21no—
405C2×Dic59⋊C4—21no—
406C2×Dic59⋊C4—21no—
407C4⋊C4×D59—21no—
408C4⋊C4×D59—21no—
409C4⋊C4×D59—21no—
410C4⋊C4×D59—21no—
411C4⋊C4×D59—21no—
412C4⋊C4×D59—21no—
413C4⋊C4×D59—21no—
414C4⋊C4×D59—21no—
415C4⋊C4×D59—21no—
416C4⋊C4×D59D411yescharacteristic
417C4⋊C4×D59C2311yescharacteristic
418C4⋊C4×D59C2311yescharacteristic
419C2×C22⋊Dic59—21no—
420C2×(C2×D59)⋊C4—21no—
421C2×(C2×D59)⋊C4—21no—
422C22⋊C4×D59—21no—
423C22⋊C4×D59—21no—
424C22⋊C4×D59—21no—
425C22⋊C4×D59—21no—
426C22⋊C4×D59—21no—
427C22⋊C4×D59—21no—
428C22⋊C4×D59—21no—
429C22⋊C4×D59—21no—
430C22⋊C4×D59—21no—
431C22⋊C4×D59—21no—
432C22⋊C4×D59—21no—
433C22⋊C4×D59—21no—
434C22⋊C4×D59D411yescharacteristic
435C22⋊C4×D59D411yescharacteristic
436C42×D59C2311yescharacteristic
437#14273659C2311yescharacteristic, complemented
438#14273658C2311yescharacteristic, complemented
439#14273658C2311yescharacteristic, complemented
440C4⋊(C59⋊C8)C2311yescharacteristic, complemented
441Dic59⋊C8C2311yescharacteristic, complemented
442Dic59⋊C8C2311yescharacteristic, complemented
443#14273652C2311yescharacteristic, complemented
444#14273652C2311yescharacteristic, complemented
445#14273652C2311yescharacteristic, complemented
446#14273651C2311yescharacteristic, complemented
447#14273651C2311yescharacteristic, complemented
448#14273651C2311yescharacteristic, complemented
449#14273650C2311yescharacteristic, complemented
450#14273650C2311yescharacteristic, complemented
451#14273650C2311yescharacteristic, complemented
452#14273649C2311yescharacteristic
453#14273649C2311yescharacteristic
454#14273649C2311yescharacteristic, complemented
455#14273648C2311yescharacteristic
456#14273648C2311yescharacteristic
457#14273648C2311yescharacteristic, complemented
458#14273647C2311yescharacteristic
459#14273647C2311yescharacteristic
460#14273647C2311yescharacteristic, complemented
461C22⋊(C59⋊C8)C2311yescharacteristic
462C22⋊(C59⋊C8)C2311yescharacteristic, complemented
463(C2×D59)⋊C8C2311yescharacteristic
464(C2×D59)⋊C8C2311yescharacteristic
465(C2×D59)⋊C8C2311yescharacteristic, complemented
466(C2×D59)⋊C8C2311yescharacteristic, complemented
467#14273638C2311yescharacteristic, complemented
468#14273637C2311yescharacteristic, complemented
469#14273637C2311yescharacteristic, complemented
470C2×#41×C59C2311yescharacteristic
471C2×#41×C59C2311yescharacteristic
472C2×#41×C59C2311yescharacteristic, complemented
473C22×D4×C59C2311yescharacteristic
474AGL(1,ℤ/8)×C59—24no—
475#135×C59—24no—
476C2×Q16×C59C2311yescharacteristic, complemented
477C2×Q16×C59C2311yescharacteristic, complemented
478C2×SD16×C59C2311yescharacteristic
479C2×SD16×C59C2311yescharacteristic
480C2×SD16×C59C2311yescharacteristic
481C2×SD16×C59C2311yescharacteristic
482C2×SD16×C59C2311yescharacteristic, complemented
483C2×D8×C59C2311yescharacteristic
484C2×D8×C59C2311yescharacteristic
485C2×M16×C59C2311yescharacteristic
486C22×C8×C59C2311yescharacteristic, complemented
487C4⋊Q8×C59C2311yescharacteristic, complemented
488#124×C59C2311yescharacteristic
489#123×C59—21no—
490#123×C59—21no—
491#123×C59—21no—
492C22⋊Q8×C59C2311yescharacteristic
493C22⋊Q8×C59C2311yescharacteristic
494C22⋊Q8×C59C2311yescharacteristic, complemented
495#121×C59—21no—
496#121×C59—21no—
497#121×C59C2311yescharacteristic
498#120×C59—21no—
499C4×D4×C59C2311yescharacteristic
500C4×D4×C59C2311yescharacteristic
501C4×D4×C59C2311yescharacteristic, complemented
502C2×C4⋊C4×C59—21no—
503C2×C22⋊C4×C59—21no—
504#106×C59C2311yescharacteristic, complemented
505C4⋊C8×C59C2311yescharacteristic, complemented
506#103×C59C2311yescharacteristic, complemented
507#103×C59C2311yescharacteristic, complemented
508#103×C59C2311yescharacteristic, complemented
509#102×C59C2311yescharacteristic
510#102×C59C2311yescharacteristic
511#102×C59C2311yescharacteristic, complemented
512C22⋊C8×C59C2311yescharacteristic
513C22⋊C8×C59C2311yescharacteristic, complemented
514#97×C59C2311yescharacteristic, complemented
515C24×C59—21no—
516C23×D59—21no—
517C23×D59—21no—
518C23×D59—21no—
519C23×D59—21no—
520C23×D59—21no—
521C23×D59—21no—
522C23×D59—44no—
523C23×D59—44no—
524C23×D59—82no—
525C23×D59C2×D411yescharacteristic
526C23×D59C2×D411yescharacteristic
527#41×C59—22no—
528#41×C59—22no—
529#41×C59—22no—
530#41×C59—41no—
531#41×C59—41no—
532#41×C59—41no—
533C2×Q8×C59C2411yescharacteristic
534C2×Q8×C59C2411yescharacteristic
535C2×Q8×C59C2411yescharacteristic
536C2×D4×C59—22no—
537C2×D4×C59—21no—
538C2×D4×C59—21no—
539C2×D4×C59—21no—
540C2×D4×C59—21no—
541C2×D4×C59—21no—
542C2×D4×C59—41no—
543C2×D4×C59C2×D411yescharacteristic
544C2×D4×C59C2411yescharacteristic
545C2×D4×C59C2411yescharacteristic
546C2×D4×C59C2411yescharacteristic
547C22×C4×C59—21no—
548C22×C4×C59—21no—
549C22×C4×C59—21no—
550C22×C4×C59—21no—
551C22×C4×C59—21no—
552C22×C4×C59C2411yescharacteristic
553C22×C4×C59C2411yescharacteristic
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—44no—
568C2×C22⋊D59C2×D411yescharacteristic
569C2×C22⋊D59C2×D411yescharacteristic
570C22×Dic59—21no—
571C22×Dic59—21no—
572C22×Dic59—21no—
573C22×Dic59—21no—
574C22×Dic59—21no—
575C22×Dic59C2×D411yescharacteristic
576C22×Dic59C2×D411yescharacteristic
577#11745689—22no—
578#11745689—22no—
579#11745689—22no—
580#11745689—41no—
581#11745689—41no—
582#11745689—41no—
583Q8×D59—22no—
584Q8×D59—22no—
585Q8×D59—22no—
586Q8×D59—22no—
587Q8×D59—22no—
588Q8×D59—22no—
589#11745687—22no—
590#11745687—22no—
591#11745687—22no—
592#11745687—41no—
593#11745687—41no—
594#11745687—41no—
595#11745687—44no—
596#11745687—44no—
597#11745687—44no—
598D4×D59—22no—
599D4×D59—22no—
600D4×D59—22no—
601D4×D59—22no—
602D4×D59—22no—
603D4×D59—22no—
604D4×D59—41no—
605D4×D59—41no—
606D4×D59—44no—
607D4×D59—42no—
608D4×D59—44no—
609D4×D59—44no—
610D4×D59—44no—
611D4×D59—44no—
612D4×D59—82no—
613D4×D59C2×D414yes—
614D4×D59C2×D414yes—
615#11745685—22no—
616#11745685—22no—
617#11745685—22no—
618#11745685—41no—
619#11745685—41no—
620#11745685—41no—
621#11745685—44no—
622#11745685—44no—
623#11745685—44no—
624C2×D236—22no—
625C2×D236—21no—
626C2×D236—21no—
627C2×D236—21no—
628C2×D236—21no—
629C2×D236—21no—
630C2×D236—41no—
631C2×D236C2×D411yescharacteristic
632C2×D236C2411yescharacteristic
633C2×D236C2411yescharacteristic
634C2×D236C2411yescharacteristic
635C2×C4×D59—22no—
636C2×C4×D59—22no—
637C2×C4×D59—22no—
638C2×C4×D59—22no—
639C2×C4×D59—21no—
640C2×C4×D59—21no—
641C2×C4×D59—21no—
642C2×C4×D59—21no—
643C2×C4×D59—21no—
644C2×C4×D59—21no—
645C2×C4×D59—21no—
646C2×C4×D59—21no—
647C2×C4×D59—21no—
648C2×C4×D59—21no—
649C2×C4×D59—21no—
650C2×C4×D59—21no—
651C2×C4×D59—21no—
652C2×C4×D59—21no—
653C2×C4×D59—21no—
654C2×C4×D59—44no—
655C2×C4×D59—44no—
656C2×C4×D59—44no—
657C2×C4×D59—44no—
658C2×C4×D59—82no—
659C2×C4×D59C2×D411yescharacteristic
660C2×C4×D59C2×D411yescharacteristic
661C2×C4×D59C2×D411yescharacteristic
662C2×C4×D59C2×D411yescharacteristic
663C2×C4×D59C2×D411yescharacteristic
664C2×C4×D59C2×D411yescharacteristic
665C2×C4×D59C2411yescharacteristic
666C2×C4×D59C2411yescharacteristic
667C2×C4×D59C2411yescharacteristic
668C2×Dic118—21no—
669C2×Dic118—21no—
670C2×Dic118—21no—
671C2×Dic118C2411yescharacteristic
672C2×Dic118C2411yescharacteristic
673C2×Dic118C2411yescharacteristic
674Q16×C59—22no—
675Q16×C59—41no—
676SD16×C59—22no—
677SD16×C59—22no—
678SD16×C59—22no—
679SD16×C59—22no—
680SD16×C59—41no—
681D8×C59—22no—
682D8×C59C2×D414yescomplemented
683M16×C59—22no—
684C2×C8×C59—22no—
685C2×C8×C59C2411yescharacteristic
686C2×C8×C59C2411yescharacteristic
687C2×C8×C59C2411yescharacteristic
688C2×C8×C59C2411yescharacteristic
689C4⋊C4×C59—21no—
690C4⋊C4×C59—21no—
691C4⋊C4×C59—21no—
692C4⋊C4×C59—21no—
693C4⋊C4×C59—21no—
694C4⋊C4×C59C2×D411yescharacteristic
695C4⋊C4×C59C2411yescharacteristic
696C4⋊C4×C59C2411yescharacteristic
697C22⋊C4×C59—21no—
698C22⋊C4×C59—21no—
699C22⋊C4×C59—21no—
700C22⋊C4×C59—21no—
701C22⋊C4×C59—21no—
702C22⋊C4×C59—21no—
703C22⋊C4×C59—21no—
704C22⋊C4×C59—21no—
705C22⋊C4×C59C2×D411yescharacteristic
706C22⋊C4×C59C2×D411yescharacteristic
707C42×C59C2411yescharacteristic
708C22⋊Dic59—21no—
709C22⋊Dic59—21no—
710C22⋊Dic59—21no—
711C22⋊Dic59—21no—
712C22⋊Dic59—21no—
713C22⋊Dic59—21no—
714C22⋊Dic59—21no—
715C22⋊Dic59—21no—
716C22⋊Dic59C2×D411yescharacteristic
717C22⋊Dic59C2×D411yescharacteristic
718#11745672—22no—
719#11745672—22no—
720#11745672—41no—
721#11745672—41no—
722#11745671—22no—
723#11745671—22no—
724#11745671—22no—
725#11745671—22no—
726#11745671—41no—
727#11745670—22no—
728#11745670—22no—
729#11745670—22no—
730#11745670—22no—
731#11745670—41no—
732#11745669—22no—
733#11745669—22no—
734#11745669C2×D414yescomplemented
735#11745669C2×D414yescomplemented
736(C2×D59)⋊C4—21no—
737(C2×D59)⋊C4—21no—
738(C2×D59)⋊C4—21no—
739(C2×D59)⋊C4—21no—
740(C2×D59)⋊C4—21no—
741(C2×D59)⋊C4—21no—
742(C2×D59)⋊C4—21no—
743(C2×D59)⋊C4—21no—
744(C2×D59)⋊C4—21no—
745(C2×D59)⋊C4—21no—
746(C2×D59)⋊C4—21no—
747(C2×D59)⋊C4—21no—
748(C2×D59)⋊C4—21no—
749(C2×D59)⋊C4—21no—
750(C2×D59)⋊C4—21no—
751(C2×D59)⋊C4—21no—
752(C2×D59)⋊C4C2×D411yescharacteristic
753(C2×D59)⋊C4C2×D411yescharacteristic
754(C2×D59)⋊C4C2×D411yescharacteristic
755(C2×D59)⋊C4C2×D411yescharacteristic
756C4⋊Dic59—21no—
757C4⋊Dic59—21no—
758C4⋊Dic59—21no—
759C4⋊Dic59—21no—
760C4⋊Dic59—21no—
761C4⋊Dic59C2×D411yescharacteristic
762C4⋊Dic59C2411yescharacteristic
763C4⋊Dic59C2411yescharacteristic
764Dic59⋊C4—21no—
765Dic59⋊C4—21no—
766Dic59⋊C4—21no—
767Dic59⋊C4—21no—
768Dic59⋊C4—21no—
769Dic59⋊C4—21no—
770Dic59⋊C4—21no—
771Dic59⋊C4—21no—
772Dic59⋊C4—21no—
773Dic59⋊C4—21no—
774Dic59⋊C4—21no—
775Dic59⋊C4—21no—
776Dic59⋊C4C2×D411yescharacteristic
777Dic59⋊C4C2×D411yescharacteristic
778C4×Dic59C2×D411yescharacteristic
779C4×Dic59C2×D411yescharacteristic
780C4×Dic59C2411yescharacteristic
781#11745664—22no—
782C2×C59⋊C8—22no—
783C2×C59⋊C8C2411yescharacteristic
784C2×C59⋊C8C2411yescharacteristic
785C2×C59⋊C8C2411yescharacteristic
786C2×C59⋊C8C2411yescharacteristic
787Dic236—22no—
788Dic236—41no—
789D472—22no—
790D472C2×D414yescomplemented
791#11745660—22no—
792#11745660—22no—
793#11745660—22no—
794#11745660—22no—
795#11745660—41no—
796#11745659—22no—
797#11745659—22no—
798C8×D59—22no—
799C8×D59—22no—
800C8×D59—22no—
801C8×D59—22no—
802C8×D59—22no—
803C8×D59C2×D414yes—
804C23×C59—21no—
805C23×C59—21no—
806C23×C59—21no—
807C23×C59—42no—
808C23×C59—42no—
809C23×C59—81no—
810C23×C59C22×D411yescharacteristic
811C23×C59C22×D411yescharacteristic
812C22×D59—21no—
813C22×D59—21no—
814C22×D59—22no—
815C22×D59—22no—
816C22×D59—24no—
817C22×D59—24no—
818C22×D59—22no—
819C22×D59—22no—
820C22×D59—22no—
821C22×D59—22no—
822C22×D59—21no—
823C22×D59—42no—
824C22×D59—42no—
825C22×D59—42no—
826C22×D59—42no—
827C22×D59—42no—
828C22×D59—42no—
829C22×D59—42no—
830C22×D59—42no—
831C22×D59—42no—
832C22×D59—42no—
833C22×D59—42no—
834C22×D59—42no—
835C22×D59—42no—
836C22×D59—81no—
837C22×D59—81no—
838C22×D59—81no—
839C22×D59—816no—
840C22×D59C22×D411yescharacteristic
841C22×D59C22×D411yescharacteristic
842C22×D59C22×D411yescharacteristic
843Q8×C59—21no—
844Q8×C59—21no—
845Q8×C59—21no—
846Q8×C59—21no—
847Q8×C59—21no—
848Q8×C59—21no—
849D4×C59—21no—
850D4×C59—21no—
851D4×C59—21no—
852D4×C59—21no—
853D4×C59—41no—
854D4×C59—42no—
855D4×C59—42no—
856D4×C59—42no—
857D4×C59—42no—
858D4×C59—81no—
859D4×C59C22×D412yes—
860D4×C59C22×D412yes—
861C2×C4×C59—21no—
862C2×C4×C59—21no—
863C2×C4×C59—21no—
864C2×C4×C59—21no—
865C2×C4×C59—21no—
866C2×C4×C59—21no—
867C2×C4×C59—21no—
868C2×C4×C59—21no—
869C2×C4×C59—21no—
870C2×C4×C59—42no—
871C2×C4×C59—42no—
872C2×C4×C59—42no—
873C2×C4×C59—42no—
874C2×C4×C59—81no—
875C2×C4×C59C22×D411yescharacteristic
876C2×C4×C59C22×D411yescharacteristic
877C2×C4×C59C22×D411yescharacteristic
878C2×C4×C59C22×D411yescharacteristic
879C2×C4×C59C2511yescharacteristic
880C22⋊D59—24no—
881C22⋊D59—24no—
882C22⋊D59—41no—
883C22⋊D59—41no—
884C22⋊D59—42no—
885C22⋊D59—42no—
886C22⋊D59—42no—
887C22⋊D59—42no—
888C22⋊D59—42no—
889C22⋊D59—42no—
890C22⋊D59—42no—
891C22⋊D59—42no—
892C22⋊D59—42no—
893C22⋊D59—81no—
894C22⋊D59—81no—
895C2×Dic59—22no—
896C2×Dic59—22no—
897C2×Dic59—21no—
898C2×Dic59—21no—
899C2×Dic59—21no—
900C2×Dic59—21no—
901C2×Dic59—21no—
902C2×Dic59—42no—
903C2×Dic59—42no—
904C2×Dic59—42no—
905C2×Dic59—42no—
906C2×Dic59—81no—
907C2×Dic59C22×D411yescharacteristic
908C2×Dic59C22×D411yescharacteristic
909C2×Dic59C22×D411yescharacteristic
910C2×Dic59C22×D411yescharacteristic
911C2×Dic59C22×D411yescharacteristic
912D236—21no—
913D236—21no—
914D236—21no—
915D236—21no—
916D236—41no—
917D236—42no—
918D236—42no—
919D236—42no—
920D236—42no—
921D236—81no—
922D236C22×D412yes—
923D236C22×D412yes—
924C4×D59—22no—
925C4×D59—22no—
926C4×D59—22no—
927C4×D59—22no—
928C4×D59—21no—
929C4×D59—21no—
930C4×D59—21no—
931C4×D59—21no—
932C4×D59—22no—
933C4×D59—22no—
934C4×D59—42no—
935C4×D59—42no—
936C4×D59—42no—
937C4×D59—42no—
938C4×D59—42no—
939C4×D59—42no—
940C4×D59—42no—
941C4×D59—42no—
942C4×D59—42no—
943C4×D59—42no—
944C4×D59—42no—
945C4×D59—42no—
946C4×D59—42no—
947C4×D59—81no—
948C4×D59—81no—
949C4×D59C22×D412yes—
950C4×D59H(5,𝔽2)12yes—
951Dic118—21no—
952Dic118—21no—
953Dic118—21no—
954Dic118—21no—
955Dic118—21no—
956Dic118—21no—
957Dic118—42no—
958Dic118—42no—
959Dic118—42no—
960C8×C59—21no—
961C8×C59—21no—
962C8×C59—21no—
963C8×C59C22×D412yes—
964C59⋊C8—21no—
965C59⋊C8—21no—
966C59⋊C8—21no—
967C59⋊C8C22×D412yes—
968C2×#3267—591nomaximal, Sylow
969C22×C59—21no—
970C22×C59—21no—
971C22×C59—22no—
972C22×C59—22no—
973C22×C59—21no—
974C22×C59—21no—
975C22×C59—21no—
976C22×C59—21no—
977C22×C59—41no—
978C22×C59—41no—
979C22×C59—41no—
980C22×C59—41no—
981C22×C59—41no—
982C22×C59—41no—
983C22×C59—41no—
984C22×C59—84no—
985C22×C59C23×D411yescharacteristic
986C2×D59—21no—
987C2×D59—21no—
988C2×D59—22no—
989C2×D59—22no—
990C2×D59—21no—
991C2×D59—21no—
992C2×D59—21no—
993C2×D59—21no—
994C2×D59—41no—
995C2×D59—41no—
996C2×D59—41no—
997C2×D59—41no—
998C2×D59—44no—
999C2×D59—44no—
1000C2×D59—48no—
1001C2×D59—48no—
1002C2×D59—41no—
1003C2×D59—41no—
1004C2×D59—41no—
1005C2×D59—84no—
1006C2×D59—84no—
1007C2×D59—84no—
1008C2×D59—84no—
1009C2×D59D4212yes—
1010C2×D59#57512yes—
1011C2×D59#57712yes—
1012C4×C59—21no—
1013C4×C59—21no—
1014C4×C59—21no—
1015C4×C59—21no—
1016C4×C59—41no—
1017C4×C59—41no—
1018C4×C59—41no—
1019C4×C59—41no—
1020C4×C59—41no—
1021C4×C59C23×D411yescharacteristic
1022C4×C59C2×H(5,𝔽2)11yescharacteristic
1023Dic59—21no—
1024Dic59—21no—
1025Dic59—21no—
1026Dic59—21no—
1027Dic59—41no—
1028Dic59—41no—
1029Dic59—41no—
1030Dic59—41no—
1031Dic59—41no—
1032Dic59D4212yes—
1033C22×AGL(1,ℤ/8)—591no—
1034C22×#135—591no—
1035C2×#547—591no—
1036C2×#546—591no—
1037#3267—591no—
1038#3267—591no—
1039#3267—591no—
1040#3267—591no—
1041#3267—591no—
1042#3267—591no—
1043#3267—591no—
1044#3267—591no—
1045#3267—591no—
1046#3267—591no—
1047#3267—591no—
1048#3267—591no—
1049#3267—591no—
1050#3267—591no—
1051#3267—591no—
1052#3267D5911yescharacteristic, direct product factor
1053C2×#497—591no—
1054C2×#470—591no—
1055C2×#465—591no—
1056C2×#463—591no—
1057C2×#461—591no—
1058C2×#452—591no—
1059C2×#452—591no—
1060C2×#449—591no—
1061C2×#450—591no—
1062C2×#442—591no—
1063C2×#435—591no—
1064C2×C59—41no—
1065C2×C59—42no—
1066C2×C59—41no—
1067C2×C59—42no—
1068C2×C59—81no—
1069C2×C59C2×D4211yescharacteristic
1070C2×C59C2×#57511yescharacteristic
1071C2×C59C2×#57711yescharacteristic
1072D59—41no—
1073D59—41no—
1074D59—42no—
1075D59—42no—
1076D59—81no—
1077D59#326714yesdirect product factor
1078C22×#41—591no—
1079C22×#41—591no—
1080C22×#41—591no—
1081C23×D4—591no—
1082C2×AGL(1,ℤ/8)—591no—
1083C2×AGL(1,ℤ/8)—591no—
1084C2×AGL(1,ℤ/8)—591no—
1085C2×AGL(1,ℤ/8)—591no—
1086C2×AGL(1,ℤ/8)—591no—
1087C2×AGL(1,ℤ/8)—591no—
1088C2×AGL(1,ℤ/8)—591no—
1089C2×AGL(1,ℤ/8)—1188no—
1090C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1091C2×#135—591no—
1092C2×#135—591no—
1093C2×#135—591no—
1094C2×#135—591no—
1095C2×#135—591no—
1096C2×#135—591no—
1097C2×#135—591no—
1098C2×#135—1188no—
1099C2×#135C2×D5911yescharacteristic, complemented
1100C22×Q16—591no—
1101C22×Q16—591no—
1102C22×SD16—591no—
1103C22×SD16—591no—
1104C22×SD16—591no—
1105C22×SD16—591no—
1106C22×SD16—591no—
1107C22×D8—591no—
1108C22×D8—591no—
1109C22×M16—591no—
1110C23×C8—591no—
1111#547—591no—
1112#547—591no—
1113#547—591no—
1114#547—591no—
1115#547—591no—
1116#547—591no—
1117#547—591no—
1118#547—1181no—
1119#547—1181no—
1120#547—1181no—
1121#547—1181no—
1122#547C2×D5911yescharacteristic, complemented
1123#546—591no—
1124#546—591no—
1125#546—591no—
1126#546—591no—
1127#546—591no—
1128#546—591no—
1129#546—591no—
1130#546—1181no—
1131#546—1181no—
1132#546—1181no—
1133#546—1181no—
1134#546C2×D5911yescharacteristic, complemented
1135C2×C4⋊Q8—591no—
1136C2×#124—591no—
1137C2×#123—1181no—
1138C2×#123—1181no—
1139C2×#123—1181no—
1140C2×C22⋊Q8—591no—
1141C2×C22⋊Q8—591no—
1142C2×C22⋊Q8—591no—
1143C2×#121—591no—
1144C2×#121—1181no—
1145C2×#121—1181no—
1146C2×#120—1181no—
1147C2×C4×D4—591no—
1148C2×C4×D4—591no—
1149C2×C4×D4—591no—
1150C22×C4⋊C4—1181no—
1151C22×C22⋊C4—1181no—
1152#497—591no—
1153#497—591no—
1154#497—591no—
1155#497—591no—
1156#497—591no—
1157#497—591no—
1158#497—591no—
1159#497C2×D5911yescharacteristic, complemented
1160#470—591no—
1161#470—591no—
1162#470—591no—
1163#470—591no—
1164#470—591no—
1165#470—591no—
1166#470—591no—
1167#470C2×D5911yescharacteristic, complemented
1168#465—591no—
1169#465—591no—
1170#465—591no—
1171#465—591no—
1172#465—591no—
1173#465—591no—
1174#465—591no—
1175#465C2×D5911yescharacteristic, complemented
1176#463—591no—
1177#463—591no—
1178#463—591no—
1179#463—591no—
1180#463—591no—
1181#463—591no—
1182#463—591no—
1183#463C2×D5911yescharacteristic, complemented
1184#461—591no—
1185#461—591no—
1186#461—591no—
1187#461—591no—
1188#461—591no—
1189#461—591no—
1190#461—591no—
1191#461C2×D5911yescharacteristic, complemented
1192#452—591no—
1193#452—591no—
1194#452—591no—
1195#452—591no—
1196#452—591no—
1197#452—591no—
1198#452—591no—
1199#452—591no—
1200#452—591no—
1201#452—591no—
1202#452—591no—
1203#452—591no—
1204#452—591no—
1205#452—591no—
1206#452C2×D5911yescharacteristic, complemented
1207#452C2×D5911yescharacteristic, complemented
1208#450—591no—
1209#450—591no—
1210#450—591no—
1211#450—591no—
1212#450—591no—
1213#450—591no—
1214#450—591no—
1215#450C2×D5911yescharacteristic, complemented
1216#449—591no—
1217#449—591no—
1218#449—591no—
1219#449—591no—
1220#449—591no—
1221#449—591no—
1222#449—591no—
1223#449C2×D5911yescharacteristic, complemented
1224#442—591no—
1225#442—591no—
1226#442—591no—
1227#442—591no—
1228#442—591no—
1229#442—591no—
1230#442—591no—
1231#442C2×D5911yescharacteristic, complemented
1232#435—591no—
1233#435—591no—
1234#435—591no—
1235#435—591no—
1236#435—591no—
1237#435—591no—
1238#435—591no—
1239#435C2×D5911yescharacteristic, complemented
1240C2×#106—591no—
1241C2×C4⋊C8—591no—
1242C2×#103—591no—
1243C2×#103—591no—
1244C2×#103—591no—
1245C2×#102—591no—
1246C2×#102—591no—
1247C2×#102—591no—
1248C2×C22⋊C8—591no—
1249C2×C22⋊C8—591no—
1250C2×#97—591no—
1251C59C2×#326711yescharacteristic, complemented, Sylow
1252C25—1181no—
1253C2×#41—591no—
1254C2×#41—591no—
1255C2×#41—591no—
1256C2×#41—591no—
1257C2×#41—591no—
1258C2×#41—591no—
1259C2×#41—591no—
1260C2×#41—591no—
1261C2×#41—591no—
1262C2×#41—1181no—
1263C2×#41—1181no—
1264C2×#41—1181no—
1265C2×#41—1181no—
1266C2×#41—1181no—
1267C2×#41—1181no—
1268C2×#41—1184no—
1269C2×#41—1184no—
1270C2×#41—1184no—
1271C2×#41—2362no—
1272C2×#41—2362no—
1273C2×#41—2362no—
1274C2×#41C22×D5911yescharacteristic
1275C2×#41C22×D5911yescharacteristic
1276C2×#41C22×D5911yescharacteristic, complemented
1277C22×Q8—591no—
1278C22×Q8—591no—
1279C22×Q8—591no—
1280C22×D4—591no—
1281C22×D4—591no—
1282C22×D4—591no—
1283C22×D4—591no—
1284C22×D4—591no—
1285C22×D4—591no—
1286C22×D4—591no—
1287C22×D4—1181no—
1288C22×D4—1181no—
1289C22×D4—1181no—
1290C22×D4—1184no—
1291C22×D4—1181no—
1292C22×D4—1181no—
1293C22×D4—1181no—
1294C22×D4—1181no—
1295C22×D4—2362no—
1296C22×D4C22×D5911yescharacteristic
1297C23×C4—591no—
1298C23×C4—591no—
1299C23×C4—1181no—
1300C23×C4—1181no—
1301C23×C4—1181no—
1302C23×C4—1181no—
1303C23×C4—1181no—
1304AGL(1,ℤ/8)—24no—
1305AGL(1,ℤ/8)—1184no—
1306AGL(1,ℤ/8)—1184no—
1307AGL(1,ℤ/8)—1184no—
1308AGL(1,ℤ/8)—1184no—
1309AGL(1,ℤ/8)—1184no—
1310AGL(1,ℤ/8)—1184no—
1311AGL(1,ℤ/8)—1184no—
1312#135—24no—
1313#135—1184no—
1314#135—1184no—
1315#135—1184no—
1316#135—1184no—
1317#135—1184no—
1318#135—1184no—
1319#135—1184no—
1320C2×Q16—591no—
1321C2×Q16—591no—
1322C2×Q16—591no—
1323C2×Q16—591no—
1324C2×Q16—591no—
1325C2×Q16—591no—
1326C2×Q16—1184no—
1327C2×Q16—2362no—
1328C2×Q16C22×D5911yescharacteristic, complemented
1329C2×Q16C22×D5911yescharacteristic, complemented
1330C2×SD16—591no—
1331C2×SD16—591no—
1332C2×SD16—591no—
1333C2×SD16—591no—
1334C2×SD16—591no—
1335C2×SD16—591no—
1336C2×SD16—591no—
1337C2×SD16—591no—
1338C2×SD16—591no—
1339C2×SD16—591no—
1340C2×SD16—591no—
1341C2×SD16—591no—
1342C2×SD16—591no—
1343C2×SD16—591no—
1344C2×SD16—591no—
1345C2×SD16—1184no—
1346C2×SD16—1184no—
1347C2×SD16—1184no—
1348C2×SD16—1184no—
1349C2×SD16—2362no—
1350C2×SD16C22×D5911yescharacteristic
1351C2×SD16C22×D5911yescharacteristic
1352C2×SD16C22×D5911yescharacteristic
1353C2×SD16C22×D5911yescharacteristic
1354C2×SD16C22×D5911yescharacteristic, complemented
1355C2×D8—591no—
1356C2×D8—591no—
1357C2×D8—598no—
1358C2×D8—591no—
1359C2×D8—591no—
1360C2×D8—591no—
1361C2×D8—591no—
1362C2×D8—1184no—
1363C2×D8C22×D5911yescharacteristic
1364C2×D8C22×D5911yescharacteristic
1365C2×M16—591no—
1366C2×M16—591no—
1367C2×M16—591no—
1368C2×M16—1184no—
1369C2×M16C22×D5911yescharacteristic
1370C22×C8—591no—
1371C22×C8—591no—
1372C22×C8—591no—
1373C22×C8—591no—
1374C22×C8—591no—
1375C22×C8—591no—
1376C22×C8—591no—
1377C22×C8—1184no—
1378C22×C8C22×D5911yescharacteristic, complemented
1379C4⋊Q8—591no—
1380C4⋊Q8—591no—
1381C4⋊Q8—591no—
1382C4⋊Q8—1181no—
1383C4⋊Q8—1181no—
1384C4⋊Q8C22×D5911yescharacteristic, complemented
1385#124—591no—
1386#124—591no—
1387#124—591no—
1388#124—1181no—
1389#124—1181no—
1390#124C22×D5911yescharacteristic
1391#123—21no—
1392#123—21no—
1393#123—21no—
1394#123—1181no—
1395#123—1181no—
1396#123—1181no—
1397#123—1181no—
1398#123—1181no—
1399#123—1181no—
1400#123—1181no—
1401#123—1181no—
1402#123—1181no—
1403#123—1181no—
1404#123—1181no—
1405#123—1181no—
1406#123—1181no—
1407#123—1181no—
1408#123—1181no—
1409#123—1181no—
1410#123—1181no—
1411#123—1181no—
1412#123—1181no—
1413#123—1181no—
1414#123—1181no—
1415C22⋊Q8—591no—
1416C22⋊Q8—591no—
1417C22⋊Q8—591no—
1418C22⋊Q8—591no—
1419C22⋊Q8—591no—
1420C22⋊Q8—591no—
1421C22⋊Q8—591no—
1422C22⋊Q8—591no—
1423C22⋊Q8—591no—
1424C22⋊Q8—1181no—
1425C22⋊Q8—1181no—
1426C22⋊Q8—1181no—
1427C22⋊Q8—1181no—
1428C22⋊Q8—1181no—
1429C22⋊Q8—1181no—
1430C22⋊Q8C22×D5911yescharacteristic
1431C22⋊Q8C22×D5911yescharacteristic
1432C22⋊Q8C22×D5911yescharacteristic, complemented
1433#121—21no—
1434#121—21no—
1435#121—591no—
1436#121—591no—
1437#121—591no—
1438#121—1181no—
1439#121—1181no—
1440#121—1181no—
1441#121—1181no—
1442#121—1181no—
1443#121—1181no—
1444#121—1181no—
1445#121—1181no—
1446#121—1181no—
1447#121—1181no—
1448#121—1181no—
1449#121—1181no—
1450#121—1181no—
1451#121—1181no—
1452#121—1181no—
1453#121—1181no—
1454#121C22×D5911yescharacteristic
1455#120—21no—
1456#120—1181no—
1457#120—1181no—
1458#120—1181no—
1459#120—1181no—
1460#120—1181no—
1461#120—1181no—
1462#120—1181no—
1463C4×D4—591no—
1464C4×D4—591no—
1465C4×D4—591no—
1466C4×D4—591no—
1467C4×D4—591no—
1468C4×D4—591no—
1469C4×D4—591no—
1470C4×D4—591no—
1471C4×D4—591no—
1472C4×D4—591no—
1473C4×D4—591no—
1474C4×D4—591no—
1475C4×D4—591no—
1476C4×D4—1181no—
1477C4×D4—1181no—
1478C4×D4—1181no—
1479C4×D4—1181no—
1480C4×D4C22×D5911yescharacteristic
1481C4×D4C22×D5911yescharacteristic
1482C4×D4C22×D5911yescharacteristic, complemented
1483C2×C4⋊C4—21no—
1484C2×C4⋊C4—591no—
1485C2×C4⋊C4—591no—
1486C2×C4⋊C4—591no—
1487C2×C4⋊C4—1181no—
1488C2×C4⋊C4—1181no—
1489C2×C4⋊C4—1181no—
1490C2×C4⋊C4—1181no—
1491C2×C4⋊C4—1181no—
1492C2×C4⋊C4—1181no—
1493C2×C4⋊C4—1181no—
1494C2×C4⋊C4—1181no—
1495C2×C4⋊C4—1181no—
1496C2×C4⋊C4—1181no—
1497C2×C4⋊C4—1181no—
1498C2×C4⋊C4—1181no—
1499C2×C22⋊C4—21no—
1500C2×C22⋊C4—591no—
1501C2×C22⋊C4—591no—
1502C2×C22⋊C4—1181no—
1503C2×C22⋊C4—1181no—
1504C2×C22⋊C4—1181no—
1505C2×C22⋊C4—1181no—
1506C2×C22⋊C4—1181no—
1507C2×C22⋊C4—1181no—
1508C2×C22⋊C4—1181no—
1509C2×C22⋊C4—1181no—
1510C2×C22⋊C4—1181no—
1511C2×C22⋊C4—1181no—
1512C2×C22⋊C4—1181no—
1513C2×C22⋊C4—1181no—
1514C2×C22⋊C4—1181no—
1515C2×C22⋊C4—1181no—
1516C2×C22⋊C4—1181no—
1517C2×C42—591no—
1518#106—591no—
1519#106—591no—
1520#106—591no—
1521#106C22×D5911yescharacteristic, complemented
1522C4⋊C8—591no—
1523C4⋊C8—591no—
1524C4⋊C8—591no—
1525C4⋊C8C22×D5911yescharacteristic, complemented
1526#103—591no—
1527#103—591no—
1528#103—591no—
1529#103—591no—
1530#103—591no—
1531#103—591no—
1532#103—591no—
1533#103—591no—
1534#103—591no—
1535#103C22×D5911yescharacteristic, complemented
1536#103C22×D5911yescharacteristic, complemented
1537#103C22×D5911yescharacteristic, complemented
1538#102—591no—
1539#102—591no—
1540#102—591no—
1541#102—591no—
1542#102—591no—
1543#102—591no—
1544#102—591no—
1545#102—591no—
1546#102—591no—
1547#102C22×D5911yescharacteristic
1548#102C22×D5911yescharacteristic
1549#102C22×D5911yescharacteristic, complemented
1550C22⋊C8—591no—
1551C22⋊C8—591no—
1552C22⋊C8—591no—
1553C22⋊C8—591no—
1554C22⋊C8—591no—
1555C22⋊C8—591no—
1556C22⋊C8C22×D5911yescharacteristic
1557C22⋊C8C22×D5911yescharacteristic, complemented
1558#97—591no—
1559#97—591no—
1560#97—591no—
1561#97C22×D5911yescharacteristic, complemented
1562C24—21no—
1563C24—591no—
1564C24—591no—
1565C24—1181no—
1566C24—1181no—
1567C24—1181no—
1568C24—1181no—
1569C24—1181no—
1570C24—1181no—
1571C24—4722no—
1572C24—2364no—
1573C24—2364no—
1574#41—22no—
1575#41—22no—
1576#41—22no—
1577#41—41no—
1578#41—41no—
1579#41—41no—
1580#41—1182no—
1581#41—1182no—
1582#41—1182no—
1583#41—1182no—
1584#41—1182no—
1585#41—1182no—
1586#41—1182no—
1587#41—1182no—
1588#41—1182no—
1589#41—2361no—
1590#41—2361no—
1591#41—2361no—
1592#41—2364no—
1593#41—2364no—
1594#41—2364no—
1595#41—2361no—
1596#41—2361no—
1597#41—2361no—
1598#41—2364no—
1599#41—2364no—
1600#41—2364no—
1601#41—2361no—
1602#41—2361no—
1603#41—2361no—
1604C2×Q8—591no—
1605C2×Q8—591no—
1606C2×Q8—591no—
1607C2×Q8—1181no—
1608C2×Q8—1181no—
1609C2×Q8—1181no—
1610C2×Q8—1182no—
1611C2×Q8—1182no—
1612C2×Q8—1182no—
1613C2×Q8—1182no—
1614C2×Q8—1182no—
1615C2×Q8—1182no—
1616C2×Q8C23×D5911yescharacteristic
1617C2×Q8C23×D5911yescharacteristic
1618C2×Q8C23×D5911yescharacteristic
1619C2×D4—22no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—21no—
1624C2×D4—21no—
1625C2×D4—41no—
1626C2×D4—594no—
1627C2×D4—594no—
1628C2×D4—591no—
1629C2×D4—591no—
1630C2×D4—591no—
1631C2×D4—591no—
1632C2×D4—591no—
1633C2×D4—591no—
1634C2×D4—1182no—
1635C2×D4—1181no—
1636C2×D4—1181no—
1637C2×D4—1181no—
1638C2×D4—1181no—
1639C2×D4—1182no—
1640C2×D4—1182no—
1641C2×D4—1182no—
1642C2×D4—1182no—
1643C2×D4—1181no—
1644C2×D4—1181no—
1645C2×D4—1181no—
1646C2×D4—1181no—
1647C2×D4—1181no—
1648C2×D4—1182no—
1649C2×D4—1182no—
1650C2×D4—1181no—
1651C2×D4—1181no—
1652C2×D4—1181no—
1653C2×D4—1181no—
1654C2×D4—1181no—
1655C2×D4—1181no—
1656C2×D4—1181no—
1657C2×D4—1181no—
1658C2×D4—1181no—
1659C2×D4—4722no—
1660C2×D4—2361no—
1661C2×D4—2361no—
1662C2×D4—2361no—
1663C2×D4—2364no—
1664C2×D4—2362no—
1665C2×D4—2364no—
1666C2×D4—2364no—
1667C2×D4—2364no—
1668C2×D4—2364no—
1669C2×D4—2364no—
1670C2×D4D4×D5911yescharacteristic
1671C2×D4C23×D5911yescharacteristic
1672C2×D4C23×D5911yescharacteristic
1673C2×D4C23×D5911yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—591no—
1680C22×C4—591no—
1681C22×C4—591no—
1682C22×C4—591no—
1683C22×C4—591no—
1684C22×C4—591no—
1685C22×C4—591no—
1686C22×C4—591no—
1687C22×C4—591no—
1688C22×C4—591no—
1689C22×C4—591no—
1690C22×C4—1182no—
1691C22×C4—1182no—
1692C22×C4—1182no—
1693C22×C4—1182no—
1694C22×C4—1181no—
1695C22×C4—1181no—
1696C22×C4—1181no—
1697C22×C4—1181no—
1698C22×C4—1181no—
1699C22×C4—1181no—
1700C22×C4—1181no—
1701C22×C4—1181no—
1702C22×C4—1181no—
1703C22×C4—1181no—
1704C22×C4—1181no—
1705C22×C4—1181no—
1706C22×C4—1181no—
1707C22×C4—1181no—
1708C22×C4—1181no—
1709C22×C4—1181no—
1710C22×C4—1181no—
1711C22×C4—1181no—
1712C22×C4—1181no—
1713C22×C4—1181no—
1714C22×C4—4722no—
1715C22×C4—2364no—
1716C22×C4—2364no—
1717C22×C4—2364no—
1718C22×C4—2364no—
1719C22×C4C23×D5911yescharacteristic
1720C22×C4C23×D5911yescharacteristic
1721Q16—22no—
1722Q16—41no—
1723Q16—1182no—
1724Q16—1182no—
1725Q16—1182no—
1726Q16—2361no—
1727Q16—2361no—
1728Q16—2361no—
1729SD16—22no—
1730SD16—22no—
1731SD16—22no—
1732SD16—22no—
1733SD16—41no—
1734SD16—1182no—
1735SD16—1182no—
1736SD16—1182no—
1737SD16—1182no—
1738SD16—1182no—
1739SD16—1182no—
1740SD16—1182no—
1741SD16—1182no—
1742SD16—1182no—
1743SD16—1182no—
1744SD16—1182no—
1745SD16—1182no—
1746SD16—2361no—
1747SD16—2361no—
1748SD16—2361no—
1749D8—22no—
1750D8—594no—
1751D8—594no—
1752D8—594no—
1753D8—1182no—
1754D8—1182no—
1755D8—1182no—
1756D8D4×D5914yescomplemented
1757M16—22no—
1758M16—1182no—
1759M16—1182no—
1760M16—1182no—
1761C2×C8—22no—
1762C2×C8—591no—
1763C2×C8—594no—
1764C2×C8—591no—
1765C2×C8—591no—
1766C2×C8—591no—
1767C2×C8—1182no—
1768C2×C8—1182no—
1769C2×C8—1182no—
1770C2×C8—1182no—
1771C2×C8—1182no—
1772C2×C8—1182no—
1773C2×C8C23×D5911yescharacteristic
1774C2×C8C23×D5911yescharacteristic
1775C2×C8C23×D5911yescharacteristic
1776C2×C8C23×D5911yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—21no—
1781C4⋊C4—21no—
1782C4⋊C4—591no—
1783C4⋊C4—591no—
1784C4⋊C4—591no—
1785C4⋊C4—591no—
1786C4⋊C4—591no—
1787C4⋊C4—1181no—
1788C4⋊C4—1181no—
1789C4⋊C4—1181no—
1790C4⋊C4—1181no—
1791C4⋊C4—1181no—
1792C4⋊C4—1181no—
1793C4⋊C4—1181no—
1794C4⋊C4—1181no—
1795C4⋊C4—1181no—
1796C4⋊C4—1181no—
1797C4⋊C4—1181no—
1798C4⋊C4—1181no—
1799C4⋊C4—1181no—
1800C4⋊C4—1181no—
1801C4⋊C4—1181no—
1802C4⋊C4—1181no—
1803C4⋊C4—1181no—
1804C4⋊C4D4×D5911yescharacteristic
1805C4⋊C4C23×D5911yescharacteristic
1806C4⋊C4C23×D5911yescharacteristic
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—21no—
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—591no—
1816C22⋊C4—591no—
1817C22⋊C4—591no—
1818C22⋊C4—591no—
1819C22⋊C4—591no—
1820C22⋊C4—591no—
1821C22⋊C4—1181no—
1822C22⋊C4—1181no—
1823C22⋊C4—1181no—
1824C22⋊C4—1181no—
1825C22⋊C4—1181no—
1826C22⋊C4—1181no—
1827C22⋊C4—1181no—
1828C22⋊C4—1181no—
1829C22⋊C4—1181no—
1830C22⋊C4—1181no—
1831C22⋊C4—1181no—
1832C22⋊C4—1181no—
1833C22⋊C4—1181no—
1834C22⋊C4—1181no—
1835C22⋊C4—1181no—
1836C22⋊C4—1181no—
1837C22⋊C4—1181no—
1838C22⋊C4—1181no—
1839C22⋊C4—1181no—
1840C22⋊C4—1181no—
1841C22⋊C4—1181no—
1842C22⋊C4—1181no—
1843C22⋊C4—1181no—
1844C22⋊C4—1181no—
1845C22⋊C4D4×D5911yescharacteristic
1846C22⋊C4D4×D5911yescharacteristic
1847C42—591no—
1848C42—591no—
1849C42—591no—
1850C42C23×D5911yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—591no—
1858C23—591no—
1859C23—591no—
1860C23—1182no—
1861C23—1182no—
1862C23—1184no—
1863C23—1184no—
1864C23—1182no—
1865C23—1182no—
1866C23—1182no—
1867C23—1182no—
1868C23—1181no—
1869C23—1181no—
1870C23—1181no—
1871C23—4721no—
1872C23—4721no—
1873C23—4721no—
1874C23—47216no—
1875C23—2362no—
1876C23—2362no—
1877C23—2362no—
1878C23—2362no—
1879C23—2362no—
1880C23—2362no—
1881C23—2362no—
1882C23—2362no—
1883C23—2362no—
1884C23—2362no—
1885C23—2362no—
1886C23—2362no—
1887C23—2362no—
1888C23C2×D4×D5911yescharacteristic
1889C23C2×D4×D5911yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—21no—
1896Q8—1181no—
1897Q8—1181no—
1898Q8—1181no—
1899Q8—1181no—
1900Q8—1181no—
1901Q8—1181no—
1902Q8—2362no—
1903Q8—2362no—
1904Q8—2362no—
1905D4—21no—
1906D4—21no—
1907D4—21no—
1908D4—21no—
1909D4—41no—
1910D4—42no—
1911D4—42no—
1912D4—42no—
1913D4—42no—
1914D4—81no—
1915D4—592no—
1916D4—592no—
1917D4—1184no—
1918D4—1184no—
1919D4—1181no—
1920D4—1181no—
1921D4—1181no—
1922D4—1181no—
1923D4—4721no—
1924D4—4721no—
1925D4—4721no—
1926D4—2361no—
1927D4—2362no—
1928D4—2362no—
1929D4—2362no—
1930D4—2362no—
1931D4—2362no—
1932D4—2361no—
1933D4—2361no—
1934D4—2362no—
1935D4—2362no—
1936D4—2362no—
1937D4—2362no—
1938D4—2362no—
1939D4—2362no—
1940D4—2362no—
1941D4—2362no—
1942D4C2×D4×D5912yes—
1943D4C2×D4×D5912yes—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—42no—
1956C2×C4—42no—
1957C2×C4—81no—
1958C2×C4—591no—
1959C2×C4—592no—
1960C2×C4—592no—
1961C2×C4—591no—
1962C2×C4—591no—
1963C2×C4—591no—
1964C2×C4—591no—
1965C2×C4—1182no—
1966C2×C4—1182no—
1967C2×C4—1182no—
1968C2×C4—1182no—
1969C2×C4—1182no—
1970C2×C4—1182no—
1971C2×C4—1182no—
1972C2×C4—1182no—
1973C2×C4—1181no—
1974C2×C4—1181no—
1975C2×C4—1181no—
1976C2×C4—1181no—
1977C2×C4—1181no—
1978C2×C4—1181no—
1979C2×C4—1181no—
1980C2×C4—1181no—
1981C2×C4—1181no—
1982C2×C4—4721no—
1983C2×C4—4721no—
1984C2×C4—4721no—
1985C2×C4—2362no—
1986C2×C4—2362no—
1987C2×C4—2362no—
1988C2×C4—2362no—
1989C2×C4—2362no—
1990C2×C4—2362no—
1991C2×C4—2362no—
1992C2×C4—2362no—
1993C2×C4—2362no—
1994C2×C4—2362no—
1995C2×C4—2362no—
1996C2×C4—2362no—
1997C2×C4—2362no—
1998C2×C4—2362no—
1999C2×C4—2362no—
2000C2×C4—2362no—
2001C2×C4—2362no—
2002C2×C4C2×D4×D5911yescharacteristic
2003C2×C4C2×D4×D5911yescharacteristic
2004C2×C4C2×D4×D5911yescharacteristic
2005C2×C4C2×D4×D5911yescharacteristic
2006C2×C4C24×D5911yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—592no—
2011C8—1181no—
2012C8—1181no—
2013C8—1181no—
2014C8C2×D4×D5912yes—
2015C22—21no—
2016C22—21no—
2017C22—22no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—21no—
2022C22—21no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—84no—
2031C22—592no—
2032C22—592no—
2033C22—592no—
2034C22—1181no—
2035C22—1181no—
2036C22—1182no—
2037C22—1182no—
2038C22—1181no—
2039C22—1181no—
2040C22—1181no—
2041C22—1181no—
2042C22—4724no—
2043C22—4724no—
2044C22—4724no—
2045C22—4724no—
2046C22—2364no—
2047C22—2364no—
2048C22—2368no—
2049C22—2368no—
2050C22—2361no—
2051C22—2361no—
2052C22—2361no—
2053C22—2361no—
2054C22—2361no—
2055C22—2361no—
2056C22—2361no—
2057C22C22×D4×D5911yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—21no—
2061C4—21no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—592no—
2068C4—1181no—
2069C4—1181no—
2070C4—1181no—
2071C4—1181no—
2072C4—2361no—
2073C4—2361no—
2074C4—2361no—
2075C4—2361no—
2076C4—2361no—
2077C4C22×D4×D5911yescharacteristic
2078C4H(5,𝔽2)×D5911yescharacteristic
2079C2—41no—
2080C2—41no—
2081C2—42no—
2082C2—42no—
2083C2—81no—
2084C2—594no—
2085C2—4721no—
2086C2—2361no—
2087C2—2361no—
2088C2—2362no—
2089C2—2362no—
2090C2D42×D5911yescharacteristic
2091C2#575×D5911yescharacteristic
2092C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59C2×#3267
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×AGL(1,ℤ/8)×D59C2semidirect
2. C2×#135×D59C2semidirect
3. #547×D59C2semidirect
4. #546×D59C2semidirect
5. #21435628C2semidirect
6. #21435627C2semidirect
7. #21435626C2semidirect
8. #21435625C2semidirect
9. #21435624C2semidirect
10. #21435623C2semidirect
11. #21435622C2semidirect
12. #21435621C2semidirect
13. #21435620C2semidirect
14. #21435619C2semidirect
15. #21435618C2semidirect
16. #21435617C2semidirect
17. #21435616C2semidirect
18. #21435615C2semidirect
19. #21435614C2semidirect
20. #497×D59C2semidirect
21. #470×D59C2semidirect
22. #465×D59C2semidirect
23. #463×D59C2semidirect
24. #461×D59C2semidirect
25. #452×D59C2semidirect
26. #452×D59C2semidirect
27. #449×D59C2semidirect
28. #450×D59C2semidirect
29. #442×D59C2semidirect
30. #435×D59C2semidirect
31. C59×#3267C2semidirect
34. C2×#41×D59C22semidirect
36. C2×#14273755C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273753C22semidirect
40. C2×#14273752C22semidirect
41. C2×#14273751C22semidirect
42. C2×#14273751C22semidirect
44. C2×#14273750C22semidirect
45. C2×#14273749C22semidirect
46. C2×#14273748C22semidirect
47. C2×#14273748C22semidirect
48. C2×#14273747C22semidirect
49. C2×#14273747C22semidirect
50. C2×#14273746C22semidirect
52. C2×Q16×D59C22semidirect
53. C2×Q16×D59C22semidirect
58. C2×SD16×D59C22semidirect
62. C22×C8×D59C22semidirect
63. #16838057C22semidirect
64. #16838056C22semidirect
65. #16838055C22semidirect
66. #16838054C22semidirect
67. #16838054C22semidirect
70. #16838051C22semidirect
71. #16838051C22semidirect
74. #16838049C22semidirect
75. #16838048C22semidirect
76. #16838047C22semidirect
77. #16838046C22semidirect
78. #16838045C22semidirect
80. #16838043C22semidirect
83. #16838040C22semidirect
85. C4⋊Q8×D59C22semidirect
92. C22⋊Q8×D59C22semidirect
99. C4×D4×D59C22semidirect
102. #16837797C22semidirect
103. #16837796C22semidirect
104. #16837795C22semidirect
105. #16837795C22semidirect
106. #16837794C22semidirect
107. #16837793C22semidirect
108. #16837793C22semidirect
109. #16837661C22semidirect
110. #16837660C22semidirect
111. #16837659C22semidirect
112. #16837659C22semidirect
113. #16837658C22semidirect
114. #16837658C22semidirect
115. #16837657C22semidirect
116. #16837634C22semidirect
117. #16837633C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837629C22semidirect
122. #16837628C22semidirect
123. #16837620C22semidirect
124. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837614C22semidirect
130. #16837608C22semidirect
131. #16837607C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837604C22semidirect
137. #16837567C22semidirect
138. #16837567C22semidirect
139. #16837566C22semidirect
140. #16837566C22semidirect
141. #16837565C22semidirect
142. #16837565C22semidirect
143. #16837564C22semidirect
144. #16837564C22semidirect
145. #16837563C22semidirect
146. #16837563C22semidirect
147. #16837562C22semidirect
148. #16837562C22semidirect
149. #16837561C22semidirect
150. #16837561C22semidirect
151. #16837555C22semidirect
152. #16837554C22semidirect
153. #16837554C22semidirect
154. #16837553C22semidirect
155. #16837552C22semidirect
156. #16837551C22semidirect
157. #16837551C22semidirect
158. #16837550C22semidirect
159. #16837549C22semidirect
160. #16837548C22semidirect
161. #16837547C22semidirect
162. #16837546C22semidirect
163. #16837545C22semidirect
164. #16837544C22semidirect
165. #16837515C22semidirect
166. #16837514C22semidirect
167. #16837513C22semidirect
168. #16837512C22semidirect
169. #16837512C22semidirect
170. #16837511C22semidirect
171. #16837511C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837474C22semidirect
175. #16837473C22semidirect
176. #16837472C22semidirect
177. #16837471C22semidirect
178. #16837470C22semidirect
179. #106×D59C22semidirect
180. C4⋊C8×D59C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
186. #102×D59C22semidirect
188. C22⋊C8×D59C22semidirect
189. #97×D59C22semidirect
190. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C2×#135×C59C22semidirect
192. C59×#547C22semidirect
193. C59×#546C22semidirect
194. C59×#497C22semidirect
195. C59×#470C22semidirect
196. C59×#465C22semidirect
197. C59×#463C22semidirect
198. C59×#461C22semidirect
199. C59×#452C22semidirect
200. C59×#452C22semidirect
201. C59×#450C22semidirect
202. C59×#449C22semidirect
203. C59×#442C22semidirect
204. C59×#435C22semidirect
208. C2×#11745689C23semidirect
214. C2×#11745685C23semidirect
220. C2×#11745687C23semidirect
267. C2×Dic236C23semidirect
268. C2×Dic236C23semidirect
269. C2×#11745672C23semidirect
270. C2×#11745672C23semidirect
271. C2×#11745672C23semidirect
272. C2×#11745672C23semidirect
279. C2×#11745660C23semidirect
284. C2×#11745670C23semidirect
289. C2×#11745671C23semidirect
302. D8×D59D4semidirect
307. C22×C59⋊C8C23semidirect
313. C2×C8×D59C23semidirect
314. C2×C8×D59C23semidirect
315. #14273727C23semidirect
318. #14273725C23semidirect
319. #14273725C23semidirect
348. #14273707C23semidirect
351. #14273706C23semidirect
360. #14273703C23semidirect
389. C4×D236C23semidirect
392. D4×Dic59C23semidirect
395. #14273689C23semidirect
437. #14273659C23semidirect
438. #14273658C23semidirect
439. #14273658C23semidirect
440. C4⋊(C59⋊C8)C23semidirect
441. Dic59⋊C8C23semidirect
442. Dic59⋊C8C23semidirect
443. #14273652C23semidirect
444. #14273652C23semidirect
445. #14273652C23semidirect
446. #14273651C23semidirect
447. #14273651C23semidirect
448. #14273651C23semidirect
449. #14273650C23semidirect
450. #14273650C23semidirect
451. #14273650C23semidirect
454. #14273649C23semidirect
457. #14273648C23semidirect
460. #14273647C23semidirect
462. C22⋊(C59⋊C8)C23semidirect
465. (C2×D59)⋊C8C23semidirect
466. (C2×D59)⋊C8C23semidirect
467. #14273638C23semidirect
468. #14273637C23semidirect
469. #14273637C23semidirect
472. C2×#41×C59C23semidirect
476. C2×Q16×C59C23semidirect
477. C2×Q16×C59C23semidirect
482. C2×SD16×C59C23semidirect
486. C22×C8×C59C23semidirect
487. C4⋊Q8×C59C23semidirect
494. C22⋊Q8×C59C23semidirect
501. C4×D4×C59C23semidirect
504. #106×C59C23semidirect
505. C4⋊C8×C59C23semidirect
506. #103×C59C23semidirect
507. #103×C59C23semidirect
508. #103×C59C23semidirect
511. #102×C59C23semidirect
513. C22⋊C8×C59C23semidirect
514. #97×C59C23semidirect
682. D8×C59C2×D4semidirect
734. #11745669C2×D4semidirect
735. #11745669C2×D4semidirect
790. D472C2×D4semidirect
1052. #3267D59direct (N × H)
1077. D59#3267direct (N × H)
1090. C2×AGL(1,ℤ/8)C2×D59semidirect
1099. C2×#135C2×D59semidirect
1122. #547C2×D59semidirect
1134. #546C2×D59semidirect
1159. #497C2×D59semidirect
1167. #470C2×D59semidirect
1175. #465C2×D59semidirect
1183. #463C2×D59semidirect
1191. #461C2×D59semidirect
1206. #452C2×D59semidirect
1207. #452C2×D59semidirect
1215. #450C2×D59semidirect
1223. #449C2×D59semidirect
1231. #442C2×D59semidirect
1239. #435C2×D59semidirect
1251. C59C2×#3267semidirect
1276. C2×#41C22×D59semidirect
1328. C2×Q16C22×D59semidirect
1329. C2×Q16C22×D59semidirect
1354. C2×SD16C22×D59semidirect
1378. C22×C8C22×D59semidirect
1384. C4⋊Q8C22×D59semidirect
1432. C22⋊Q8C22×D59semidirect
1482. C4×D4C22×D59semidirect
1521. #106C22×D59semidirect
1525. C4⋊C8C22×D59semidirect
1535. #103C22×D59semidirect
1536. #103C22×D59semidirect
1537. #103C22×D59semidirect
1549. #102C22×D59semidirect
1557. C22⋊C8C22×D59semidirect
1561. #97C22×D59semidirect
1756. D8D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×AGL(1,ℤ/8)×D592
C2×#135×D592
#547×D592
#546×D592
#214356282
#214356272
#214356262
#214356252
#214356242
#214356232
#214356222
#214356212
#214356202
#214356192
#214356182
#214356172
#214356162
#214356152
#214356142
#497×D592
#470×D592
#465×D592
#463×D592
#461×D592
#452×D592
#449×D592
#450×D592
#442×D592
#435×D592
C59×#32672
C2×#326759