Finite Group Databasebeta

← #29473983

Subgroups — #29473983

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437936C211yesmaximal, characteristic, complemented
2#21437585C211yesmaximal, characteristic, complemented
3#21436346C211yesmaximal, characteristic, complemented
4#21436296C211yesmaximal, characteristic, complemented
5#21436143C211yesmaximal, characteristic, complemented
6#21436115C211yesmaximal, characteristic, complemented
7#21436098C211yesmaximal, characteristic, complemented
8#21436070C211yesmaximal, characteristic, complemented
9#21435925C211yesmaximal, characteristic, complemented
10#21435804C211yesmaximal, characteristic, complemented
11#21435783C211yesmaximal, characteristic, complemented
12#21435752C211yesmaximal, characteristic, complemented
13#21435722C211yesmaximal, characteristic, complemented
14#21435685C211yesmaximal, characteristic, complemented
15#21435648C211yesmaximal, characteristic, complemented
16#21435599C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435138C211yesmaximal, characteristic, complemented
19#21435073C211yesmaximal, characteristic, complemented
20#21434940C211yesmaximal, characteristic, complemented
21#21434909C211yesmaximal, characteristic, complemented
22#21434890C211yesmaximal, characteristic, complemented
23#21434872C211yesmaximal, characteristic, complemented
24#21434212C211yesmaximal, characteristic, complemented
25#21434120C211yesmaximal, characteristic, complemented
26#21433355C211yesmaximal, characteristic, complemented
27#21433339C211yesmaximal, characteristic, complemented
28#21433316C211yesmaximal, characteristic, complemented
29C2×#16837550C211yesmaximal, characteristic, complemented
30#21433129C211yesmaximal, characteristic, complemented
31C59×#3300C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745671C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42#16838105—21no—
43#16838105C2211yescharacteristic, complemented
44#16838103—21no—
45#16838096C2211yescharacteristic, complemented
46#16838087C2211yescharacteristic
47#16838076—21no—
48#16838075—21no—
49#16838071C2211yescharacteristic, complemented
50Q8×C22⋊D59C2211yescharacteristic
51#16838064C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838054—21no—
55#16838054C2211yescharacteristic, complemented
56#16838048—21no—
57#16838048C2211yescharacteristic
58#16838048C2211yescharacteristic, complemented
59#16838045—21no—
60#16838045C2211yescharacteristic, complemented
61#16838043C2211yescharacteristic
62#16838036—21no—
63#16838036C2211yescharacteristic
64#16838000—21no—
65#16837991—21no—
66#16837963—21no—
67#16837951—21no—
68#16837951C2211yescharacteristic, complemented
69#16837939C2211yescharacteristic, complemented
70#16837937C2211yescharacteristic, complemented
71#16837915—21no—
72#16837915C2211yescharacteristic, complemented
73#16837915C2211yescharacteristic, complemented
74#16837914C2211yescharacteristic, complemented
75#16837912—21no—
76#16837912C2211yescharacteristic
77C22⋊Q8×D59C2211yescharacteristic, complemented
78C2×#14273702C2211yescharacteristic, complemented
79#16837876—21no—
80C4×#11745689C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837795C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837611C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837559C2211yescharacteristic, complemented
138#16837559C2211yescharacteristic, complemented
139#16837558C2211yescharacteristic, complemented
140#16837555C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837552C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic
145#16837550C2211yescharacteristic
146#16837550C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic, complemented
154#16837549C2211yescharacteristic, complemented
155#16837548C2211yescharacteristic, complemented
156#16837548C2211yescharacteristic, complemented
157#16837547C2211yescharacteristic, complemented
158#16837542C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837535C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166C4×#11745671C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168C4×D472C2211yescharacteristic, complemented
169#16837481C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic
172#16837473C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic
174#16837470C2211yescharacteristic, complemented
175D4×C59⋊C8C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837453C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C4×Q16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—42no—
206C2×#11745689—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×D236—21no—
222C22×D236—21no—
223C22×D236C2311yescharacteristic
224C22×D236C2311yescharacteristic
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59D411yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233#14273759—42no—
234#14273759—42no—
235#14273759—42no—
236#14273754—42no—
237#14273749—42no—
238#14273747—42no—
239C2×Dic236C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745671—42no—
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×D472—42no—
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268#14273725—21no—
269#14273725C2311yescharacteristic
270#14273723—21no—
271#14273723C2311yescharacteristic
272#14273722—21no—
273#14273722—21no—
274#14273722—21no—
275#14273722—21no—
276#14273721—21no—
277#14273718C2311yescharacteristic
278#14273717—21no—
279#14273716C2311yescharacteristic
280#14273715—21no—
281#14273715—21no—
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273713—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273711—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273706—21no—
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273698—21no—
339#14273698C2311yescharacteristic
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236—21no—
358C4×D236—21no—
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362D4×Dic59—21no—
363D4×Dic59D411yescharacteristic
364#14273689—21no—
365#14273689—21no—
366#14273689—21no—
367#14273689—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689D411yescharacteristic
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4D411yescharacteristic
383(C22⋊D59)⋊C4D411yescharacteristic
384#14273686—21no—
385#14273685—21no—
386#14273685—21no—
387#14273685C2311yescharacteristic
388#14273685C2311yescharacteristic
389#14273684—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59D411yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273637C2311yescharacteristic
445#14273637C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59—21no—
456#125×C59C2311yescharacteristic
457#124×C59—21no—
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—41no—
531#11745689—41no—
532#11745689—41no—
533#11745689—41no—
534#11745689—44no—
535#11745689—41no—
536#11745689—41no—
537#11745689—44no—
538Q8×D59—22no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—41no—
542#11745687—41no—
543#11745687—41no—
544#11745687—44no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—44no—
548D4×D59—42no—
549D4×D59—44no—
550#11745685—22no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—44no—
555C2×D236—21no—
556C2×D236—22no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—41no—
570C2×D236—41no—
571C2×D236—41no—
572C2×D236—44no—
573C2×D236—44no—
574C2×D236C2×D411yescharacteristic
575C2×D236C2411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
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—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59—44no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—22no—
613Q16×C59—41no—
614SD16×C59—41no—
615C2×C8×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59C2×D411yescharacteristic
642C22⋊C4×C59C2×D411yescharacteristic
643C42×C59—21no—
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59C2×D411yescharacteristic
651C22⋊Dic59C2×D411yescharacteristic
652#11745672—22no—
653#11745672—41no—
654#11745672—41no—
655#11745671—22no—
656#11745671—22no—
657#11745671—22no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745670—41no—
662#11745669—41no—
663#11745669—41no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C2×C59⋊C8—41no—
720C2×C59⋊C8—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—41no—
726D472—22no—
727D472—22no—
728D472—41no—
729D472—41no—
730#11745660—22no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737#11745659—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C22×D59—21no—
742C22×D59—22no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—42no—
769Q8×C59H(5,𝔽2)12yes—
770D4×C59—22no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—42no—
774D4×C59—42no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—42no—
787C2×C4×C59—42no—
788C2×C4×C59—42no—
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C2511yescharacteristic
794C22⋊D59—22no—
795C22⋊D59—41no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—41no—
810C2×Dic59—41no—
811C2×Dic59—42no—
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817D236—24no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—41no—
826D236—42no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236—42no—
831D236—42no—
832D236—42no—
833D236—42no—
834D236—42no—
835D236—81no—
836D236—81no—
837D236—81no—
838D236H(5,𝔽2)12yes—
839C4×D59—24no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—41no—
847C4×D59—41no—
848C4×D59—41no—
849C4×D59—41no—
850C4×D59—41no—
851C4×D59—41no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—42no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61597—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59#57512yes—
889C22×C59C23×D411yescharacteristic
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—82no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—84no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—22no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928C4×C59C2×H(5,𝔽2)11yescharacteristic
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—21no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3326—591no—
941#3322—591no—
942#3312—591no—
943#3310—591no—
944#3309—591no—
945#3307—591no—
946#3300D5911yescharacteristic, complemented
947#3296—591no—
948#3282—591no—
949#3280—591no—
950#3277—591no—
951#3275—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3264—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3194—591no—
960#3191—591no—
961#3190—591no—
962#3111—591no—
963#3102—591no—
964#3007—591no—
965#3005—591no—
966#3002—591no—
967C2×#449—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—81no—
972C2×C59#348411yescharacteristic
973C2×C59C2×#57511yescharacteristic
974C2×C59#358411yescharacteristic
975D59—41no—
976D59—41no—
977D59—41no—
978D59—42no—
979D59—81no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×SD16—591no—
991C22×D8—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552C2×D5911yescharacteristic, complemented
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548C2×D5911yescharacteristic
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488C2×D5911yescharacteristic, complemented
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485C2×D5911yescharacteristic, complemented
1047#483—591no—
1048#483—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#480—591no—
1054#480C2×D5911yescharacteristic, complemented
1055#479—591no—
1056#479C2×D5911yescharacteristic, complemented
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#467—591no—
1069#467C2×D5911yescharacteristic, complemented
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465C2×D5911yescharacteristic, complemented
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452C2×D5911yescharacteristic, complemented
1097#451—591no—
1098#451—591no—
1099#451—591no—
1100#451C2×D5911yescharacteristic, complemented
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16C2×D5911yescharacteristic, complemented
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4C2×D5911yescharacteristic, complemented
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416C2×D5911yescharacteristic, complemented
1147C2×#103C2×D5911yescharacteristic, complemented
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6159711yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—1181no—
1185C23×C4—1181no—
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16C22×D5911yescharacteristic
1197C2×Q16C22×D5911yescharacteristic
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—2362no—
1210C2×SD16C22×D5911yescharacteristic
1211C2×D8—591no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—2362no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8C22×D5911yescharacteristic
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—21no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—21no—
1237#125—591no—
1238#125—1181no—
1239#125C22×D5911yescharacteristic
1240#124—21no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124C22×D5911yescharacteristic
1248#123—21no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—21no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8C22×D5911yescharacteristic
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—21no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121C22×D5911yescharacteristic
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8C22×D5911yescharacteristic
1323C4×Q8C22×D5911yescharacteristic
1324C4×D4—21no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4C22×D5911yescharacteristic
1358#117—21no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4C22×D5911yescharacteristic
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107C22×D5911yescharacteristic
1384#107C22×D5911yescharacteristic
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103C22×D5911yescharacteristic
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8C22×D5911yescharacteristic
1441C24—591no—
1442C24—591no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2364no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2364no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8C23×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—1182no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1182no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2361no—
1521C2×D4—2362no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4D4×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—2361no—
1556C22×C4—2361no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2364no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—22no—
1564Q16—41no—
1565Q16—1182no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—41no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—1182no—
1582D8—1182no—
1583D8—2361no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4D4×D5911yescharacteristic
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4D4×D5911yescharacteristic
1677C22⋊C4D4×D5911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—591no—
1682C42—591no—
1683C42—591no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—591no—
1691C23—591no—
1692C23—591no—
1693C23—1182no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—2361no—
1703C23—2361no—
1704C23—2361no—
1705C23—2361no—
1706C23—2361no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—42no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—2362no—
1726Q8#1427377312yes—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—42no—
1731D4—42no—
1732D4—592no—
1733D4—1184no—
1734D4—1182no—
1735D4—1181no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2361no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2361no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—591no—
1784C2×C4—1184no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2361no—
1807C2×C4—2361no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2361no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—1181no—
1839C22—1181no—
1840C22—1182no—
1841C22—1181no—
1842C22—1181no—
1843C22—1181no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—9442no—
1849C22—4724no—
1850C22—4722no—
1851C22—4722no—
1852C22—4724no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683819912yes—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—1181no—
1881C4—1181no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377311yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—81no—
1891C2—4721no—
1892C2—4721no—
1893C2—4721no—
1894C2—2361no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772611yescharacteristic
1899C2C2×#1683819911yescharacteristic
1900C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3300C2
socleC22×C59C23×D4
hypercenter#3300D59
hypocenterC59#61597
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
1. #21437936C2semidirect
2. #21437585C2semidirect
3. #21436346C2semidirect
4. #21436296C2semidirect
5. #21436143C2semidirect
6. #21436115C2semidirect
7. #21436098C2semidirect
8. #21436070C2semidirect
9. #21435925C2semidirect
10. #21435804C2semidirect
11. #21435783C2semidirect
12. #21435752C2semidirect
13. #21435722C2semidirect
14. #21435685C2semidirect
15. #21435648C2semidirect
16. #21435599C2semidirect
17. #21435573C2semidirect
18. #21435138C2semidirect
19. #21435073C2semidirect
20. #21434940C2semidirect
21. #21434909C2semidirect
22. #21434890C2semidirect
23. #21434872C2semidirect
24. #21434212C2semidirect
25. #21434120C2semidirect
26. #21433355C2semidirect
27. #21433339C2semidirect
28. #21433316C2semidirect
29. C2×#16837550C2semidirect
30. #21433129C2semidirect
31. C59×#3300C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745671C22semidirect
41. C22×D472C22semidirect
43. #16838105C22semidirect
45. #16838096C22semidirect
49. #16838071C22semidirect
51. #16838064C22semidirect
52. #16838064C22semidirect
53. #16838062C22semidirect
55. #16838054C22semidirect
58. #16838048C22semidirect
60. #16838045C22semidirect
68. #16837951C22semidirect
69. #16837939C22semidirect
70. #16837937C22semidirect
72. #16837915C22semidirect
73. #16837915C22semidirect
74. #16837914C22semidirect
77. C22⋊Q8×D59C22semidirect
78. C2×#14273702C22semidirect
80. C4×#11745689C22semidirect
83. #16837795C22semidirect
84. #16837788C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837759C22semidirect
90. #16837746C22semidirect
91. #16837742C22semidirect
92. #16837742C22semidirect
93. #16837734C22semidirect
94. #16837732C22semidirect
95. #16837729C22semidirect
96. #16837729C22semidirect
97. #16837729C22semidirect
98. #16837726C22semidirect
99. #16837714C22semidirect
100. #16837711C22semidirect
101. #16837705C22semidirect
102. #16837699C22semidirect
103. #16837659C22semidirect
104. #16837656C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837651C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837649C22semidirect
111. #16837643C22semidirect
112. #16837641C22semidirect
113. #16837638C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837629C22semidirect
117. #16837626C22semidirect
118. #16837624C22semidirect
119. #16837624C22semidirect
120. #16837620C22semidirect
121. #16837618C22semidirect
122. #16837618C22semidirect
123. #16837614C22semidirect
124. #16837611C22semidirect
125. #16837606C22semidirect
126. #16837601C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837565C22semidirect
131. #16837563C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837562C22semidirect
135. #16837562C22semidirect
136. #16837561C22semidirect
137. #16837559C22semidirect
138. #16837559C22semidirect
139. #16837558C22semidirect
140. #16837555C22semidirect
141. #16837555C22semidirect
142. #16837554C22semidirect
143. #16837552C22semidirect
146. #16837550C22semidirect
147. #16837550C22semidirect
148. #16837550C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
151. #16837550C22semidirect
152. #16837550C22semidirect
153. #16837549C22semidirect
154. #16837549C22semidirect
155. #16837548C22semidirect
156. #16837548C22semidirect
157. #16837547C22semidirect
158. #16837542C22semidirect
159. #16837539C22semidirect
160. #16837537C22semidirect
161. #16837535C22semidirect
162. #16837513C22semidirect
163. #16837506C22semidirect
164. #16837505C22semidirect
165. #16837501C22semidirect
166. C4×#11745671C22semidirect
167. C4×#11745671C22semidirect
168. C4×D472C22semidirect
169. #16837481C22semidirect
170. #16837479C22semidirect
172. #16837473C22semidirect
174. #16837470C22semidirect
175. D4×C59⋊C8C22semidirect
176. #16837458C22semidirect
177. #16837453C22semidirect
178. #16837409C22semidirect
179. #16837405C22semidirect
180. #16837402C22semidirect
181. #16837402C22semidirect
182. #16837396C22semidirect
183. C2×#14273647C22semidirect
184. #16837364C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C59×#552C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#479C22semidirect
194. C59×#467C22semidirect
195. C59×#465C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C4×Q16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#103×C59C22semidirect
946. #3300D59semidirect
997. #552C2×D59semidirect
1042. #488C2×D59semidirect
1046. #485C2×D59semidirect
1054. #480C2×D59semidirect
1056. #479C2×D59semidirect
1069. #467C2×D59semidirect
1074. #465C2×D59semidirect
1078. #464C2×D59semidirect
1096. #452C2×D59semidirect
1100. #451C2×D59semidirect
1127. C4×Q16C2×D59semidirect
1138. C8×D4C2×D59semidirect
1146. #416C2×D59semidirect
1147. C2×#103C2×D59semidirect
1153. C59#61597semidirect

Maximal subgroups

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

subgroupindex
#214379362
#214375852
#214363462
#214362962
#214361432
#214361152
#214360982
#214360702
#214359252
#214358042
#214357832
#214357522
#214357222
#214356852
#214356482
#214355992
#214355732
#214351382
#214350732
#214349402
#214349092
#214348902
#214348722
#214342122
#214341202
#214333552
#214333392
#214333162
C2×#168375502
#214331292
C59×#33002
#6159759