Finite Group Databasebeta

← #29484097

Subgroups — #29484097

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438611C211yesmaximal, characteristic, complemented
2#21438055C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437183C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436887C211yesmaximal, characteristic, complemented
7#21436335C211yesmaximal, characteristic, complemented
8#21436333C211yesmaximal, characteristic, complemented
9#21436288C211yesmaximal, characteristic, complemented
10#21436279C211yesmaximal, characteristic, complemented
11#21436138C211yesmaximal, characteristic, complemented
12#21436127C211yesmaximal, characteristic, complemented
13#21435724C211yesmaximal, characteristic, complemented
14#21435722C211yesmaximal, characteristic, complemented
15#21435583C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435565C211yesmaximal, characteristic, complemented
20#21435476C211yesmaximal, characteristic, complemented
21#21435197C211yesmaximal, characteristic, complemented
22#21435184C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21434285C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434250C211yesmaximal, characteristic, complemented
27#21433600C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3263C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C22×D472C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838148—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838134C2211yescharacteristic, complemented
43#16838123C2211yescharacteristic, complemented
44#16838118C2211yescharacteristic, complemented
45#16838116C2211yescharacteristic, complemented
46#16838080—21no—
47#16838079—21no—
48#16838067C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic, complemented
50#16838062—21no—
51#16838062C2211yescharacteristic, complemented
52#16838049C2211yescharacteristic
53#16838045—21no—
54#16838045C2211yescharacteristic, complemented
55#16838044—21no—
56#16838043—21no—
57#16838043C2211yescharacteristic
58#16838043C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60#16838036C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838026C2211yescharacteristic, complemented
63#16838024C2211yescharacteristic, complemented
64#16837991—21no—
65#16837991—21no—
66#16837991—21no—
67#16837988—21no—
68#16837986—21no—
69#16837971C2211yescharacteristic, complemented
70#16837970C2211yescharacteristic, complemented
71#16837963—21no—
72#16837953C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837935—21no—
75#16837930C2211yescharacteristic
76#124×D59—21no—
77#124×D59C2211yescharacteristic, complemented
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837750C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837740C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic
107#16837656C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837627C2211yescharacteristic, complemented
114#16837626C2211yescharacteristic, complemented
115#16837624C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837614C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837602C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic
131#16837598C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic, complemented
134#16837597C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837552C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837545C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic
155#16837535C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837529C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837513C2211yescharacteristic, complemented
161#16837513C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837463C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837458C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#542C2211yescharacteristic, complemented
190C59×#476C2211yescharacteristic, complemented
191C59×#476C2211yescharacteristic, complemented
192C59×#475C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×Q8×D59—21no—
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273759—42no—
219#14273755—42no—
220#14273754—42no—
221#14273754—42no—
222C2×#11745672C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472—42no—
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243D8×D59—42no—
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273721—21no—
258#14273720—21no—
259#14273720D411yescharacteristic
260#14273717D411yescharacteristic
261#14273716—21no—
262#14273716—21no—
263#14273716—21no—
264#14273716—21no—
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715—21no—
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713D411yescharacteristic
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712D411yescharacteristic
291#14273711—21no—
292#14273710—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709D411yescharacteristic
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273703—21no—
306#14273703—21no—
307#14273703C2311yescharacteristic
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273701—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700D411yescharacteristic
329#14273699—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348#14273692—21no—
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689—21no—
361#14273689—21no—
362#14273689—21no—
363#14273689—21no—
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686C2311yescharacteristic
377#14273685—21no—
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273685C2311yescharacteristic
381#14273684C2311yescharacteristic
382#14273683—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C42×D59—21no—
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#124×C59—21no—
452#124×C59—21no—
453#124×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512#11745689—22no—
513#11745689—41no—
514#11745689—41no—
515#11745689—41no—
516#11745689—82no—
517Q8×D59—41no—
518Q8×D59—41no—
519Q8×D59—82no—
520D4×D59—22no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527D4×D59—82no—
528#11745685—41no—
529#11745685—41no—
530#11745685—82no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—82no—
549C2×D236C2×D411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2411yescharacteristic
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577Q16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580D8×C59—41no—
581M16×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622#11745672—41no—
623#11745671—22no—
624#11745671—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745670—41no—
629#11745669—22no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633#11745669—41no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—22no—
698D472—22no—
699D472—22no—
700D472—41no—
701D472—41no—
702D472—41no—
703#11745660—22no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738Q8×C59—81no—
739Q8×C59—81no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—81no—
745D4×C59—81no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C2511yescharacteristic
762C22⋊D59—41no—
763C22⋊D59—41no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—81no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—41no—
793D236—42no—
794D236—42no—
795D236—42no—
796D236—42no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236H(5,𝔽2)12yes—
807C4×D59—21no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—41no—
812C4×D59—41no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826Dic118—21no—
827Dic118—21no—
828Dic118—41no—
829Dic118—42no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62088—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—22no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59C2×H(5,𝔽2)11yescharacteristic
889C4×C59#58511yescharacteristic
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3558—591no—
900#3514—591no—
901#3403—591no—
902#3403—591no—
903#3373—591no—
904#3373—591no—
905#3325—591no—
906#3325—591no—
907#3321—591no—
908#3321—591no—
909#3311—591no—
910#3311—591no—
911#3275—591no—
912#3275—591no—
913#3264—591no—
914#3264—591no—
915#3264—591no—
916#3264—591no—
917#3263—591no—
918#3263D5911yescharacteristic, complemented
919#3253—591no—
920#3224—591no—
921#3224—591no—
922#3213—591no—
923#3118—591no—
924#3118—591no—
925#3115—591no—
926#3041—591no—
927#3041—591no—
928#3040—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59#348811yescharacteristic
934C2×C59#358511yescharacteristic
935C2×C59#358511yescharacteristic
936D59—41no—
937D59—41no—
938D59—42no—
939D59—81no—
940D59—81no—
941D59—81no—
942D59—81no—
943C2×#137—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C22×D8—591no—
948C22×D8—591no—
949#562—1181no—
950H(3,𝔽4)—1181no—
951#559—591no—
952#559—591no—
953#559—591no—
954#556—591no—
955#555—591no—
956#555—591no—
957#551—1181no—
958#551—1181no—
959D4×Q8—591no—
960#548—591no—
961#548—591no—
962#548—1181no—
963#546—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42—591no—
972D42—591no—
973#542—591no—
974#542—591no—
975#542C2×D5911yescharacteristic, complemented
976#542C2×D5911yescharacteristic, complemented
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#538—1181no—
981#538—1181no—
982#535—591no—
983#535—591no—
984#534—1181no—
985#532—591no—
986#532—591no—
987#529—591no—
988#529—1181no—
989C2×#124—591no—
990C2×#124—1181no—
991#518—591no—
992#518—591no—
993C4×#41—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#495—591no—
1000#489—591no—
1001#489—591no—
1002#489—591no—
1003#489—591no—
1004#486—591no—
1005#486—591no—
1006#485—591no—
1007#485—591no—
1008#482—591no—
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#476—591no—
1013#476—591no—
1014#476—591no—
1015#476—591no—
1016#476C2×D5911yescharacteristic, complemented
1017#476C2×D5911yescharacteristic, complemented
1018#475—591no—
1019#475C2×D5911yescharacteristic, complemented
1020#475C2×D5911yescharacteristic, complemented
1021#474—591no—
1022#470—591no—
1023#470C2×D5911yescharacteristic, complemented
1024#469—591no—
1025#469—591no—
1026#469—591no—
1027#469—591no—
1028#469—591no—
1029#469C2×D5911yescharacteristic
1030#465—591no—
1031#465—591no—
1032#465C2×D5911yescharacteristic, complemented
1033#465C2×D5911yescharacteristic, complemented
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464C2×D5911yescharacteristic, complemented
1039#464C2×D5911yescharacteristic, complemented
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#463C2×D5911yescharacteristic, complemented
1053#463C2×D5911yescharacteristic, complemented
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452—591no—
1066#450—591no—
1067#450—591no—
1068#450—591no—
1069#450—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424C2×D5911yescharacteristic, complemented
1107#423—591no—
1108#419—591no—
1109#418—591no—
1110#418—591no—
1111#418—591no—
1112#416—591no—
1113#416—591no—
1114C59#6208811yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C2×#41—1181no—
1120C22×Q8—591no—
1121C22×Q8—1181no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—591no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4—1181no—
1130#137—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—2362no—
1158C2×D8—2362no—
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168C4⋊Q8C22×D5911yescharacteristic
1169C4⋊Q8C22×D5911yescharacteristic
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#126—21no—
1175#126—21no—
1176#126—591no—
1177#126—591no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#124—21no—
1184#124—21no—
1185#124—591no—
1186#124—591no—
1187#124—591no—
1188#124—591no—
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#124—1181no—
1207#124—1181no—
1208#124C22×D5911yescharacteristic
1209#124C22×D5911yescharacteristic
1210#123—21no—
1211#123—21no—
1212#123—591no—
1213#123—591no—
1214#123—1181no—
1215#123—1181no—
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—
1226C22⋊Q8—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8C22×D5911yescharacteristic
1239C22⋊Q8C22×D5911yescharacteristic
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—1181no—
1284C4×Q8C22×D5911yescharacteristic
1285C4×Q8C22×D5911yescharacteristic
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—591no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#106—591no—
1337#106—591no—
1338#106C22×D5911yescharacteristic
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—1182no—
1402#41—4722no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409C2×Q8—21no—
1410C2×Q8—21no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—1181no—
1414C2×Q8—1181no—
1415C2×Q8—1181no—
1416C2×Q8—4722no—
1417C2×Q8—2361no—
1418C2×Q8—2361no—
1419C2×Q8C23×D5911yescharacteristic
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—1182no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1182no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—41no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501D8—41no—
1502D8—1182no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4D4×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C4⋊C4C23×D5911yescharacteristic
1553C4⋊C4C23×D5911yescharacteristic
1554C4⋊C4C23×D5911yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—591no—
1624C23—591no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—81no—
1651Q8—81no—
1652Q8—1181no—
1653Q8—1181no—
1654Q8—4721no—
1655Q8—4721no—
1656Q8—2361no—
1657Q8—2362no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—81no—
1663D4—81no—
1664D4—592no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—2361no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695D4—2361no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—1181no—
1762C22—1181no—
1763C22—1182no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—9442no—
1769C22—9442no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—1181no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823911yescharacteristic
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143776011yescharacteristic
1821C2#2143887411yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3263C2
socleC22×C59C23×D4
hypercenter#3263D59
hypocenterC59#62088
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #21438611C2semidirect
2. #21438055C2semidirect
3. #21437184C2semidirect
4. #21437183C2semidirect
5. #21436891C2semidirect
6. #21436887C2semidirect
7. #21436335C2semidirect
8. #21436333C2semidirect
9. #21436288C2semidirect
10. #21436279C2semidirect
11. #21436138C2semidirect
12. #21436127C2semidirect
13. #21435724C2semidirect
14. #21435722C2semidirect
15. #21435583C2semidirect
16. #21435582C2semidirect
17. #21435573C2semidirect
18. #21435573C2semidirect
19. #21435565C2semidirect
20. #21435476C2semidirect
21. #21435197C2semidirect
22. #21435184C2semidirect
23. #21435081C2semidirect
24. #21434285C2semidirect
25. #21434274C2semidirect
26. #21434250C2semidirect
27. #21433600C2semidirect
28. #21433597C2semidirect
29. #21433587C2semidirect
30. #21433264C2semidirect
31. C59×#3263C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C22×D472C22semidirect
37. C2×D8×D59C22semidirect
40. #16838137C22semidirect
41. #16838135C22semidirect
42. #16838134C22semidirect
43. #16838123C22semidirect
44. #16838118C22semidirect
45. #16838116C22semidirect
48. #16838067C22semidirect
49. #16838064C22semidirect
51. #16838062C22semidirect
54. #16838045C22semidirect
58. #16838043C22semidirect
59. D4×D236C22semidirect
60. #16838036C22semidirect
61. #16838036C22semidirect
62. #16838026C22semidirect
63. #16838024C22semidirect
69. #16837971C22semidirect
70. #16837970C22semidirect
72. #16837953C22semidirect
73. #16837949C22semidirect
77. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
80. C4×#11745689C22semidirect
81. #16837792C22semidirect
82. #16837790C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837784C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837750C22semidirect
92. #16837747C22semidirect
93. #16837746C22semidirect
94. #16837740C22semidirect
95. #16837728C22semidirect
96. #16837728C22semidirect
97. #16837728C22semidirect
98. #16837723C22semidirect
99. #16837691C22semidirect
100. #16837691C22semidirect
101. #16837691C22semidirect
102. #16837689C22semidirect
103. #16837686C22semidirect
104. #16837679C22semidirect
105. #16837659C22semidirect
107. #16837656C22semidirect
108. #16837656C22semidirect
109. #16837654C22semidirect
110. #16837654C22semidirect
111. #16837634C22semidirect
112. #16837632C22semidirect
113. #16837627C22semidirect
114. #16837626C22semidirect
115. #16837624C22semidirect
116. #16837622C22semidirect
117. #16837620C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837619C22semidirect
121. #16837618C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837616C22semidirect
127. #16837614C22semidirect
128. #16837614C22semidirect
129. #16837602C22semidirect
131. #16837598C22semidirect
132. #16837598C22semidirect
133. #16837598C22semidirect
134. #16837597C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837595C22semidirect
139. #16837563C22semidirect
140. #16837562C22semidirect
141. #16837554C22semidirect
142. #16837552C22semidirect
143. #16837552C22semidirect
144. #16837551C22semidirect
145. #16837550C22semidirect
146. #16837550C22semidirect
147. #16837550C22semidirect
148. #16837545C22semidirect
149. #16837542C22semidirect
150. #16837539C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
155. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837531C22semidirect
158. #16837529C22semidirect
159. #16837513C22semidirect
160. #16837513C22semidirect
161. #16837513C22semidirect
162. #16837512C22semidirect
163. #16837505C22semidirect
164. #16837505C22semidirect
165. #16837500C22semidirect
166. #16837499C22semidirect
167. C4×#11745671C22semidirect
168. #16837489C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. #16837472C22semidirect
176. #16837471C22semidirect
177. #16837463C22semidirect
178. #16837462C22semidirect
179. #16837458C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
183. #16837408C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. #16837399C22semidirect
187. #16837397C22semidirect
188. C59×#542C22semidirect
189. C59×#542C22semidirect
190. C59×#476C22semidirect
191. C59×#476C22semidirect
192. C59×#475C22semidirect
193. C59×#475C22semidirect
194. C59×#470C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#424C22semidirect
918. #3263D59semidirect
975. #542C2×D59semidirect
976. #542C2×D59semidirect
1016. #476C2×D59semidirect
1017. #476C2×D59semidirect
1019. #475C2×D59semidirect
1020. #475C2×D59semidirect
1023. #470C2×D59semidirect
1032. #465C2×D59semidirect
1033. #465C2×D59semidirect
1038. #464C2×D59semidirect
1039. #464C2×D59semidirect
1052. #463C2×D59semidirect
1053. #463C2×D59semidirect
1106. #424C2×D59semidirect
1114. C59#62088semidirect

Maximal subgroups

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

subgroupindex
#214386112
#214380552
#214371842
#214371832
#214368912
#214368872
#214363352
#214363332
#214362882
#214362792
#214361382
#214361272
#214357242
#214357222
#214355832
#214355822
#214355732
#214355652
#214354762
#214351972
#214351842
#214350812
#214342852
#214342742
#214342502
#214336002
#214335972
#214335872
#214332642
C59×#32632
#6208859