Finite Group Databasebeta

← #29466351

Subgroups — #29466351

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437827C211yesmaximal, characteristic, complemented
2#21437733C211yesmaximal, characteristic, complemented
3#21436402C211yesmaximal, characteristic, complemented
4#21436394C211yesmaximal, characteristic, complemented
5#21436300C211yesmaximal, characteristic, complemented
6#21436259C211yesmaximal, characteristic, complemented
7#21436253C211yesmaximal, characteristic, complemented
8#21436073C211yesmaximal, characteristic, complemented
9#21436069C211yesmaximal, characteristic, complemented
10#21436067C211yesmaximal, characteristic, complemented
11#21436066C211yesmaximal, characteristic, complemented
12#21436057C211yesmaximal, characteristic, complemented
13#21436052C211yesmaximal, characteristic, complemented
14#21436026C211yesmaximal, characteristic, complemented
15#21436022C211yesmaximal, characteristic, complemented
16#21435950C211yesmaximal, characteristic, complemented
17#21435945C211yesmaximal, characteristic, complemented
18#21434460C211yesmaximal, characteristic, complemented
19#21434060C211yesmaximal, characteristic, complemented
20#21434004C211yesmaximal, characteristic, complemented
21#21433924C211yesmaximal, characteristic, complemented
22#21433733C211yesmaximal, characteristic, complemented
23#21433714C211yesmaximal, characteristic, complemented
24#21433606C211yesmaximal, characteristic, complemented
25#21433359C211yesmaximal, characteristic, complemented
26#449×D59C211yesmaximal, characteristic, complemented
27#21432943C211yesmaximal, characteristic, complemented
28#21432825C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic
37C2×#14273735C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838117C2211yescharacteristic, complemented
40#16838115C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838100C2211yescharacteristic, complemented
44#16838077—21no—
45#16838075—21no—
46#16838057C2211yescharacteristic, complemented
47#16838056C2211yescharacteristic, complemented
48#16838056C2211yescharacteristic, complemented
49#16838054C2211yescharacteristic, complemented
50#16838052—21no—
51#16838052C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic, complemented
53#16838050—21no—
54#16838049C2211yescharacteristic, complemented
55#16838047—21no—
56#16838046C2211yescharacteristic, complemented
57#16838045C2211yescharacteristic, complemented
58#16838042—21no—
59#16838041—21no—
60#16838039—21no—
61#16838032C2211yescharacteristic, complemented
62#16838018—21no—
63#16838004—21no—
64#16837975C2211yescharacteristic
65#16837972C2211yescharacteristic
66#16837968C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837947—21no—
70#16837932—21no—
71#16837912C2211yescharacteristic
72#16837911C2211yescharacteristic
73C2×#14273709—21no—
74#123×D59—21no—
75#121×D59C2211yescharacteristic, complemented
76#16837882C2211yescharacteristic
77#16837874C2211yescharacteristic
78#16837874C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic, complemented
80#16837772C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837761C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837753C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837732C2211yescharacteristic, complemented
97#16837730C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837724C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic, complemented
131#16837549C2211yescharacteristic, complemented
132#16837548C2211yescharacteristic, complemented
133#16837548C2211yescharacteristic, complemented
134#16837547C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837545C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic, complemented
139#16837544C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837536C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837511C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147C4×D472C2211yescharacteristic, complemented
148D8×Dic59C2211yescharacteristic, complemented
149#16837484C2211yescharacteristic, complemented
150#16837477C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837439C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837404C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837403C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic
172#16837400C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic, complemented
175#16837396C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic
177#16837395C2211yescharacteristic
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273751—42no—
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236SD16×D59—42no—
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—24no—
242#14273735—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247M16×D59—42no—
248C22×C59⋊C8C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273727C2311yescharacteristic
255#14273727C2311yescharacteristic
256#14273726—21no—
257#14273726—21no—
258#14273726C2311yescharacteristic
259#14273725C2311yescharacteristic
260#14273723—21no—
261#14273722—21no—
262#14273722—21no—
263#14273720—21no—
264#14273718C2311yescharacteristic
265#14273717—21no—
266#14273715—21no—
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707—21no—
299#14273707—21no—
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705D411yescharacteristic
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700D411yescharacteristic
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697D411yescharacteristic
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342C4×Dic118—21no—
343C4×D236—21no—
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351#14273689—21no—
352#14273689C2311yescharacteristic
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686—21no—
365#14273685—21no—
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684C2311yescharacteristic
375C2×C4⋊Dic59—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C2×C22⋊Dic59—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—41no—
541Q8×D59—22no—
542Q8×D59—22no—
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—41no—
548#11745687—41no—
549#11745687—44no—
550#11745687—44no—
551#11745687—82no—
552#11745687—82no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—44no—
559D4×D59—44no—
560D4×D59—82no—
561D4×D59#4114yescomplemented
562#11745685—22no—
563#11745685—22no—
564#11745685—22no—
565#11745685—22no—
566#11745685—41no—
567#11745685—41no—
568#11745685—44no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236C2×D411yescharacteristic
573C2×D236C2×D411yescharacteristic
574C2×D236C2411yescharacteristic
575C2×D236C2411yescharacteristic
576C2×C4×D59—22no—
577C2×C4×D59—22no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—44no—
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118C2×D411yescharacteristic
598C2×Dic118C2411yescharacteristic
599C2×Dic118C2411yescharacteristic
600SD16×C59—41no—
601D8×C59—22no—
602D8×C59—41no—
603M16×C59—41no—
604M16×C59—41no—
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C2×C8×C59C2411yescharacteristic
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59C2×D411yescharacteristic
628C22⋊C4×C59C2×D411yescharacteristic
629C42×C59—21no—
630C42×C59C2411yescharacteristic
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59C2×D411yescharacteristic
641C22⋊Dic59C2×D411yescharacteristic
642#11745671—41no—
643#11745670—41no—
644#11745670—41no—
645#11745669—22no—
646#11745669—22no—
647#11745669—41no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2×D411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710D472—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716C8×D59—22no—
717C8×D59—22no—
718C8×D59—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—81no—
726C23×C59—81no—
727C23×C59C22×D411yescharacteristic
728C23×C59C22×D411yescharacteristic
729C22×D59—21no—
730C22×D59—22no—
731C22×D59—24no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—41no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745C22×D59C22×D411yescharacteristic
746Q8×C59—21no—
747Q8×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—41no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59C2×#4112yes—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—42no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C2511yescharacteristic
778C22⋊D59—22no—
779C22⋊D59—22no—
780C22⋊D59—24no—
781C22⋊D59—41no—
782C22⋊D59—41no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C2×Dic59—22no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59—81no—
808C2×Dic59—81no—
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814D236—22no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—41no—
819D236—42no—
820D236—81no—
821D236—81no—
822D236C2×#4112yes—
823C4×D59—22no—
824C4×D59—21no—
825C4×D59—21no—
826C4×D59—21no—
827C4×D59—21no—
828C4×D59—22no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59C2×#4112yes—
840C4×D59H(5,𝔽2)12yes—
841Dic118—22no—
842Dic118—21no—
843Dic118—21no—
844Dic118—21no—
845Dic118—21no—
846Dic118—42no—
847Dic118—81no—
848Dic118—81no—
849C8×C59—21no—
850C8×C59—21no—
851C8×C59—21no—
852C8×C59—21no—
853C59⋊C8—21no—
854C59⋊C8—21no—
855C59⋊C8—21no—
856C59⋊C8—21no—
857#61187—591nomaximal, Sylow
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—21no—
863C22×C59—22no—
864C22×C59—21no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—162no—
874C22×C59C23×D411yescharacteristic
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—22no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—82no—
890C2×D59—84no—
891C2×D59—162no—
892C2×D59—162no—
893C2×D59#54612yes—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59C22×#4111yescharacteristic
904C4×C59C2×H(5,𝔽2)11yescharacteristic
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59#54612yes—
916#3494—591no—
917#3485—591no—
918#3330—591no—
919#3330—591no—
920#3322—591no—
921#3322D5911yescharacteristic, complemented
922#3319—591no—
923#3319—591no—
924#3307—591no—
925#3307—591no—
926#3307—591no—
927#3307—591no—
928#3306—591no—
929#3306—591no—
930#3303—591no—
931#3303—591no—
932#3297—591no—
933#3297—591no—
934#3137—591no—
935#3097—591no—
936#3091—591no—
937#3081—591no—
938#3057—591no—
939#3055—591no—
940#3042—591no—
941#3008—591no—
942C2×#449—591no—
943#2948—591no—
944#2933—591no—
945#2897—591no—
946#2896—591no—
947C2×C59—41no—
948C2×C59—42no—
949C2×C59—41no—
950C2×C59—81no—
951C2×C59—81no—
952C2×C59C2×#54611yescharacteristic
953C2×C59#358411yescharacteristic
954C2×C59#358511yescharacteristic
955D59—22no—
956D59—41no—
957D59—41no—
958D59—42no—
959D59—81no—
960C2×H(5,𝔽2)—591no—
961C22×#41—591no—
962C2×AGL(1,ℤ/8)—591no—
963C22×SD16—591no—
964C22×D8—591no—
965C2×#131—591no—
966C22×M16—591no—
967#555—591no—
968#555—591no—
969#553—591no—
970#553—591no—
971#553—591no—
972#553C2×D5911yescharacteristic, complemented
973#551—1181no—
974#551—1181no—
975#547—591no—
976#547—591no—
977#547—591no—
978#547—591no—
979#547—591no—
980#547—591no—
981#547—1181no—
982#547—1181no—
983#546—591no—
984#546—591no—
985#546—591no—
986#546—1181no—
987#546—1181no—
988#546—1181no—
989#546—1181no—
990#546C2×D5911yescharacteristic, complemented
991#544—591no—
992#542—1181no—
993#540—1181no—
994#536—591no—
995#536—591no—
996#535—591no—
997#534—1181no—
998#534—1181no—
999#532—1181no—
1000#529—1181no—
1001#525—591no—
1002#525—591no—
1003C2×#123—1181no—
1004C2×#123—1181no—
1005C2×#121—591no—
1006#520—591no—
1007#518—591no—
1008#518—591no—
1009C2×#117—591no—
1010#491—591no—
1011#491—591no—
1012#489—591no—
1013#489—591no—
1014#488—591no—
1015#488C2×D5911yescharacteristic, complemented
1016#487—591no—
1017#487—591no—
1018#485—591no—
1019#485—591no—
1020#485—591no—
1021#485—591no—
1022#485—591no—
1023#485C2×D5911yescharacteristic, complemented
1024#484—591no—
1025#484—591no—
1026#484—591no—
1027#483—591no—
1028#483—591no—
1029#483—591no—
1030#482—591no—
1031#482—591no—
1032#481—591no—
1033#480C2×D5911yescharacteristic, complemented
1034#478—591no—
1035#478—591no—
1036#478—591no—
1037#478C2×D5911yescharacteristic, complemented
1038#476—591no—
1039#476—591no—
1040#474—591no—
1041#474—591no—
1042#469—591no—
1043#469C2×D5911yescharacteristic, complemented
1044#468—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468C2×D5911yescharacteristic, complemented
1050#466—591no—
1051#466—591no—
1052#465—591no—
1053#465—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463C2×D5911yescharacteristic, complemented
1062#461—591no—
1063#461—591no—
1064#461—591no—
1065#461—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#449C2×D5911yescharacteristic, complemented
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447C2×D5911yescharacteristic, complemented
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086C4×D8—591no—
1087C4×D8—591no—
1088C4×D8—591no—
1089C4×D8C2×D5911yescharacteristic, complemented
1090#436—591no—
1091#436C2×D5911yescharacteristic, complemented
1092#435—591no—
1093#435—591no—
1094#435—591no—
1095#435—591no—
1096C8×D4—591no—
1097C8×D4—591no—
1098#428—591no—
1099#427—591no—
1100#427—591no—
1101#424—591no—
1102#419—591no—
1103#419—591no—
1104#418—591no—
1105#418—591no—
1106#418—591no—
1107#418—591no—
1108#418C2×D5911yescharacteristic, complemented
1109#417—591no—
1110#417—591no—
1111#417—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417C2×D5911yescharacteristic, complemented
1116#416—591no—
1117#416—591no—
1118#416—591no—
1119#416—591no—
1120#416—591no—
1121#416—591no—
1122#416—591no—
1123#416—591no—
1124C2×#103—591no—
1125C2×#102—591no—
1126C2×#102—591no—
1127C2×#102—591no—
1128#408—591no—
1129C2×C22⋊C8—591no—
1130#405—591no—
1131C59#6118711yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—1184no—
1133H(5,𝔽2)—2362no—
1134C2×#41—591no—
1135C2×#41—591no—
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—1181no—
1142C2×#41—1181no—
1143C2×#41—1181no—
1144C2×#41—1181no—
1145C2×#41—1181no—
1146C2×#41—1184no—
1147C2×#41—2362no—
1148C2×#41C22×D5911yescharacteristic
1149C22×Q8—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—591no—
1153C22×D4—1181no—
1154C22×D4—1181no—
1155C22×D4—1181no—
1156C22×D4—1181no—
1157C22×D4—1181no—
1158C22×D4C22×D5911yescharacteristic
1159C23×C4—591no—
1160C23×C4—1181no—
1161AGL(1,ℤ/8)—2362no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—591no—
1166C2×SD16—591no—
1167C2×SD16—2362no—
1168C2×SD16C22×D5911yescharacteristic
1169C2×D8—591no—
1170C2×D8—591no—
1171C2×D8—591no—
1172C2×D8—591no—
1173C2×D8—1184no—
1174C2×D8C22×D5911yescharacteristic
1175C2×D8C22×D5911yescharacteristic
1176#131—2362no—
1177C2×M16—591no—
1178C2×M16—591no—
1179C2×M16—591no—
1180C2×M16—591no—
1181C2×M16—2362no—
1182C2×M16C22×D5911yescharacteristic
1183C2×M16C22×D5911yescharacteristic
1184C22×C8—591no—
1185C22×C8—591no—
1186C22×C8—591no—
1187C22×C8—591no—
1188C22×C8—591no—
1189C22×C8—591no—
1190C4⋊Q8—591no—
1191C4⋊Q8—591no—
1192C4⋊Q8—591no—
1193C4⋊Q8—591no—
1194C4⋊Q8—1181no—
1195C4⋊Q8—1181no—
1196#127—1181no—
1197#126—21no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#125—591no—
1202#125—1181no—
1203#125C22×D5911yescharacteristic
1204#124—591no—
1205#124—1181no—
1206#124—1181no—
1207#124—1181no—
1208#124—1181no—
1209#124—1181no—
1210#124—1181no—
1211#124C22×D5911yescharacteristic
1212#123—21no—
1213#123—21no—
1214#123—591no—
1215#123—591no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—591no—
1245C22⋊Q8—591no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8C22×D5911yescharacteristic
1253#121—21no—
1254#121—21no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121C22×D5911yescharacteristic
1279#121C22×D5911yescharacteristic
1280#121C22×D5911yescharacteristic
1281#120—21no—
1282#120—591no—
1283#120—591no—
1284#120—1181no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290C4×Q8—1181no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315C4×D4C22×D5911yescharacteristic
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—591no—
1320#117—591no—
1321#117—591no—
1322#117—591no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327#117C22×D5911yescharacteristic
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—1181no—
1333C2×C4⋊C4—1181no—
1334C2×C4⋊C4—1181no—
1335C2×C4⋊C4—1181no—
1336C2×C4⋊C4C22×D5911yescharacteristic
1337C2×C22⋊C4—21no—
1338C2×C22⋊C4—1181no—
1339C2×C22⋊C4—1181no—
1340C2×C22⋊C4—1181no—
1341C2×C22⋊C4—1181no—
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C42—1181no—
1348#107—591no—
1349#107—591no—
1350#107—591no—
1351#107—591no—
1352#107C22×D5911yescharacteristic
1353#107C22×D5911yescharacteristic
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358#106—591no—
1359#106C22×D5911yescharacteristic
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8C22×D5911yescharacteristic
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103C22×D5911yescharacteristic
1380#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400#102C22×D5911yescharacteristic
1401#102C22×D5911yescharacteristic
1402#102C22×D5911yescharacteristic
1403#102C22×D5911yescharacteristic
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8C22×D5911yescharacteristic
1411C22⋊C8C22×D5911yescharacteristic
1412#97—591no—
1413#97—591no—
1414C4×C8—591no—
1415C4×C8C22×D5911yescharacteristic
1416C24—21no—
1417C24—591no—
1418C24—1181no—
1419C24—1181no—
1420C24—1181no—
1421#41—22no—
1422#41—41no—
1423#41—1182no—
1424#41—1182no—
1425#41—1182no—
1426#41—1182no—
1427#41—1182no—
1428#41—1182no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—4722no—
1433#41—4722no—
1434#41—2361no—
1435#41—2361no—
1436#41—2364no—
1437#41—2361no—
1438#41—2361no—
1439#41—2364no—
1440#41—2361no—
1441#41—2364no—
1442C2×Q8—591no—
1443C2×Q8—591no—
1444C2×Q8—591no—
1445C2×Q8—1181no—
1446C2×Q8—1181no—
1447C2×Q8—1182no—
1448C2×Q8—1182no—
1449C2×Q8—1181no—
1450C2×Q8C23×D5911yescharacteristic
1451C2×D4—22no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—41no—
1458C2×D4—594no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1182no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1182no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—4722no—
1488C2×D4—2361no—
1489C2×D4—2364no—
1490C2×D4—2364no—
1491C2×D4—2364no—
1492C2×D4—2364no—
1493C2×D4D4×D5911yescharacteristic
1494C2×D4C23×D5911yescharacteristic
1495C2×D4C23×D5911yescharacteristic
1496C2×D4C23×D5911yescharacteristic
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—591no—
1502C22×C4—591no—
1503C22×C4—591no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—1182no—
1508C22×C4—1182no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—2364no—
1527C22×C4C23×D5911yescharacteristic
1528C22×C4C23×D5911yescharacteristic
1529SD16—41no—
1530SD16—2361no—
1531SD16—2361no—
1532SD16—2361no—
1533SD16—2361no—
1534SD16—2361no—
1535D8—22no—
1536D8—41no—
1537D8—1182no—
1538D8—1182no—
1539D8—1182no—
1540D8—2361no—
1541M16—41no—
1542M16—41no—
1543M16—1182no—
1544M16—1182no—
1545M16—2361no—
1546M16—2361no—
1547C2×C8—591no—
1548C2×C8—591no—
1549C2×C8—591no—
1550C2×C8—591no—
1551C2×C8—1182no—
1552C2×C8—1182no—
1553C2×C8—2361no—
1554C2×C8—2361no—
1555C2×C8—2361no—
1556C2×C8—2361no—
1557C2×C8C23×D5911yescharacteristic
1558C2×C8C23×D5911yescharacteristic
1559C2×C8C23×D5911yescharacteristic
1560C2×C8C23×D5911yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
1567C4⋊C4—591no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4D4×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C4⋊C4C23×D5911yescharacteristic
1594C4⋊C4C23×D5911yescharacteristic
1595C4⋊C4C23×D5911yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—591no—
1610C22⋊C4—591no—
1611C22⋊C4—591no—
1612C22⋊C4—591no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4D4×D5911yescharacteristic
1640C22⋊C4D4×D5911yescharacteristic
1641C42—21no—
1642C42—591no—
1643C42—1181no—
1644C42—1181no—
1645C42—1181no—
1646C42—1181no—
1647C42—1181no—
1648C42—1181no—
1649C42C23×D5911yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—591no—
1657C23—591no—
1658C23—591no—
1659C23—1182no—
1660C23—1184no—
1661C23—1181no—
1662C23—1181no—
1663C23—4721no—
1664C23—4721no—
1665C23—4721no—
1666C23—4721no—
1667C23—4721no—
1668C23—4721no—
1669C23—2361no—
1670C23—2361no—
1671C23—2362no—
1672C23—2362no—
1673C23C2×D4×D5911yescharacteristic
1674C23C2×D4×D5911yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—1182no—
1678Q8—1181no—
1679Q8—1181no—
1680Q8—1181no—
1681Q8—1181no—
1682Q8—4721no—
1683Q8—4721no—
1684Q8—2362no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—41no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—81no—
1696D4—592no—
1697D4—1182no—
1698D4—1184no—
1699D4—1182no—
1700D4—1182no—
1701D4—1181no—
1702D4—1181no—
1703D4—1181no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—2361no—
1711D4—2362no—
1712D4—2362no—
1713D4—2361no—
1714D4—2361no—
1715D4—2362no—
1716D4—2362no—
1717D4—2362no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4#41×D5912yes—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—591no—
1737C2×C4—592no—
1738C2×C4—592no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—1182no—
1744C2×C4—1182no—
1745C2×C4—1182no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—4721no—
1764C2×C4—4721no—
1765C2×C4—2362no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C24×D5911yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1181no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—592no—
1803C22—1181no—
1804C22—1181no—
1805C22—1181no—
1806C22—1181no—
1807C22—1182no—
1808C22—1181no—
1809C22—1181no—
1810C22—1181no—
1811C22—1181no—
1812C22—9442no—
1813C22—9442no—
1814C22—4724no—
1815C22—4722no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22C22×D4×D5911yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—592no—
1832C4—1181no—
1833C4—1181no—
1834C4—1181no—
1835C4—1181no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4—2361no—
1840C4—2361no—
1841C4—2361no—
1842C4C2×#41×D5911yescharacteristic
1843C4H(5,𝔽2)×D5911yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—1182no—
1850C2—4721no—
1851C2—2361no—
1852C2—2361no—
1853C2—2362no—
1854C2#546×D5911yescharacteristic
1855C2#2143886411yescharacteristic
1856C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#61187
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21437827C2semidirect
2. #21437733C2semidirect
3. #21436402C2semidirect
4. #21436394C2semidirect
5. #21436300C2semidirect
6. #21436259C2semidirect
7. #21436253C2semidirect
8. #21436073C2semidirect
9. #21436069C2semidirect
10. #21436067C2semidirect
11. #21436066C2semidirect
12. #21436057C2semidirect
13. #21436052C2semidirect
14. #21436026C2semidirect
15. #21436022C2semidirect
16. #21435950C2semidirect
17. #21435945C2semidirect
18. #21434460C2semidirect
19. #21434060C2semidirect
20. #21434004C2semidirect
21. #21433924C2semidirect
22. #21433733C2semidirect
23. #21433714C2semidirect
24. #21433606C2semidirect
25. #21433359C2semidirect
26. #449×D59C2semidirect
27. #21432943C2semidirect
28. #21432825C2semidirect
29. #21432621C2semidirect
30. #21432612C2semidirect
31. C59×#3322C2semidirect
35. C2×SD16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838117C22semidirect
40. #16838115C22semidirect
41. #16838105C22semidirect
42. #16838104C22semidirect
43. #16838100C22semidirect
46. #16838057C22semidirect
47. #16838056C22semidirect
48. #16838056C22semidirect
49. #16838054C22semidirect
51. #16838052C22semidirect
52. #16838051C22semidirect
54. #16838049C22semidirect
56. #16838046C22semidirect
57. #16838045C22semidirect
61. #16838032C22semidirect
75. #121×D59C22semidirect
78. #16837874C22semidirect
79. C2×#14273685C22semidirect
80. #16837772C22semidirect
81. #16837769C22semidirect
82. #16837761C22semidirect
83. #16837760C22semidirect
84. #16837755C22semidirect
85. #16837753C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837745C22semidirect
89. #16837745C22semidirect
90. #16837743C22semidirect
91. #16837742C22semidirect
92. #16837738C22semidirect
93. #16837738C22semidirect
94. #16837736C22semidirect
95. #16837734C22semidirect
96. #16837732C22semidirect
97. #16837730C22semidirect
98. #16837724C22semidirect
99. #16837724C22semidirect
100. #16837718C22semidirect
101. #16837705C22semidirect
102. #16837700C22semidirect
103. #16837699C22semidirect
104. #16837692C22semidirect
105. #16837691C22semidirect
106. #16837683C22semidirect
107. #16837680C22semidirect
108. #16837653C22semidirect
109. #16837649C22semidirect
110. #16837648C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837645C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837634C22semidirect
117. #16837633C22semidirect
118. #16837632C22semidirect
119. #16837630C22semidirect
120. #16837630C22semidirect
121. #16837629C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837608C22semidirect
126. #16837607C22semidirect
127. #16837606C22semidirect
128. #16837605C22semidirect
129. #16837550C22semidirect
130. #16837549C22semidirect
131. #16837549C22semidirect
132. #16837548C22semidirect
133. #16837548C22semidirect
134. #16837547C22semidirect
135. #16837546C22semidirect
136. #16837545C22semidirect
137. #16837545C22semidirect
138. #16837544C22semidirect
139. #16837544C22semidirect
140. #16837537C22semidirect
141. #16837536C22semidirect
142. #16837534C22semidirect
143. #16837512C22semidirect
144. #16837512C22semidirect
145. #16837511C22semidirect
146. #16837511C22semidirect
147. C4×D472C22semidirect
148. D8×Dic59C22semidirect
149. #16837484C22semidirect
150. #16837477C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837441C22semidirect
158. #16837439C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837404C22semidirect
168. #16837404C22semidirect
169. #16837403C22semidirect
170. #16837401C22semidirect
172. #16837400C22semidirect
173. #16837397C22semidirect
174. #16837397C22semidirect
175. #16837396C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273648C22semidirect
184. #102×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#553C22semidirect
189. C59×#546C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
561. D4×D59#41semidirect
921. #3322D59semidirect
972. #553C2×D59semidirect
990. #546C2×D59semidirect
1015. #488C2×D59semidirect
1023. #485C2×D59semidirect
1033. #480C2×D59semidirect
1037. #478C2×D59semidirect
1043. #469C2×D59semidirect
1049. #468C2×D59semidirect
1061. #463C2×D59semidirect
1077. #449C2×D59semidirect
1081. #447C2×D59semidirect
1089. C4×D8C2×D59semidirect
1091. #436C2×D59semidirect
1108. #418C2×D59semidirect
1115. #417C2×D59semidirect
1131. C59#61187semidirect

Maximal subgroups

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

subgroupindex
#214378272
#214377332
#214364022
#214363942
#214363002
#214362592
#214362532
#214360732
#214360692
#214360672
#214360662
#214360572
#214360522
#214360262
#214360222
#214359502
#214359452
#214344602
#214340602
#214340042
#214339242
#214337332
#214337142
#214336062
#214333592
#449×D592
#214329432
#214328252
#214326212
#214326122
C59×#33222
#6118759