Finite Group Databasebeta

← #29466987

Subgroups — #29466987

Order 15104.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437942C211yesmaximal, characteristic, complemented
2#21437852C211yesmaximal, characteristic, complemented
3#21436258C211yesmaximal, characteristic, complemented
4#21436253C211yesmaximal, characteristic, complemented
5#21436250C211yesmaximal, characteristic, complemented
6#21436245C211yesmaximal, characteristic, complemented
7#21436244C211yesmaximal, characteristic, complemented
8#21436237C211yesmaximal, characteristic, complemented
9#21436236C211yesmaximal, characteristic, complemented
10#21436077C211yesmaximal, characteristic, complemented
11#21436074C211yesmaximal, characteristic, complemented
12#21436069C211yesmaximal, characteristic, complemented
13#21436066C211yesmaximal, characteristic, complemented
14#21436061C211yesmaximal, characteristic, complemented
15#21436060C211yesmaximal, characteristic, complemented
16#21436053C211yesmaximal, characteristic, complemented
17#21436052C211yesmaximal, characteristic, complemented
18#21434440C211yesmaximal, characteristic, complemented
19#21434088C211yesmaximal, characteristic, complemented
20#21434086C211yesmaximal, characteristic, complemented
21#21433891C211yesmaximal, characteristic, complemented
22#21433775C211yesmaximal, characteristic, complemented
23#21433773C211yesmaximal, characteristic, complemented
24#21433555C211yesmaximal, characteristic, complemented
25#21433359C211yesmaximal, characteristic, complemented
26#21433359C211yesmaximal, characteristic, complemented
27#442×D59C211yesmaximal, characteristic, complemented
28#21432810C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#21432617C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic
37C2×#14273735C2211yescharacteristic, complemented
38C2×#14273733C2211yescharacteristic, complemented
39#16838136—21no—
40#16838135—21no—
41#16838119—21no—
42#16838116C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838098C2211yescharacteristic, complemented
47#16838070—21no—
48#16838057C2211yescharacteristic, complemented
49#16838056C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic, complemented
51#16838052—21no—
52#16838052C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838046C2211yescharacteristic, complemented
56#16838046C2211yescharacteristic, complemented
57#16838039—21no—
58#16838039—21no—
59#16838037C2211yescharacteristic, complemented
60D4×C22⋊D59—21no—
61#16837991—21no—
62#16837984—21no—
63#16837981C2211yescharacteristic
64#16837981C2211yescharacteristic
65#16837968C2211yescharacteristic, complemented
66#16837968C2211yescharacteristic, complemented
67#16837962—21no—
68#16837962—21no—
69#16837958C2211yescharacteristic, complemented
70#16837950C2211yescharacteristic
71#16837949C2211yescharacteristic
72#16837911—21no—
73#16837910—21no—
74C2×#14273698—21no—
75#121×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic, complemented
80#16837772C2211yescharacteristic, complemented
81#16837771C2211yescharacteristic, complemented
82#16837766C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837760C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837733C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837608C2211yescharacteristic, complemented
127#16837607C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837549C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic, complemented
131#16837548C2211yescharacteristic, complemented
132#16837548C2211yescharacteristic, complemented
133#16837545C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837544C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837536C2211yescharacteristic, complemented
140#16837536C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic, complemented
147#16837512C2211yescharacteristic, complemented
148#16837511C2211yescharacteristic, complemented
149#16837511C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837475C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155#16837471C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837407C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837404C2211yescharacteristic, complemented
167#16837401C2211yescharacteristic, complemented
168#16837400C2211yescharacteristic, complemented
169#16837400C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837399C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174#16837395C2211yescharacteristic, complemented
175#16837395C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180C2×#14273648C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—24no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231C22×C4×D59—21no—
232#14273751—42no—
233#14273751—42no—
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243D8×D59—24no—
244#14273735—42no—
245#14273733—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256#14273727C2311yescharacteristic
257#14273726D411yescharacteristic
258#14273726C2311yescharacteristic
259#14273726C2311yescharacteristic
260#14273723—21no—
261#14273723—21no—
262#14273723D411yescharacteristic
263#14273722—21no—
264#14273722—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273715—21no—
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273714C2311yescharacteristic
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713D411yescharacteristic
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712—21no—
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273702—21no—
303#14273702D411yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273701—21no—
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700D411yescharacteristic
314#14273700D411yescharacteristic
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698D411yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273696—21no—
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344C4×Dic118—21no—
345#14273692—21no—
346#14273692—21no—
347#14273692—21no—
348C4×D236—21no—
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59—21no—
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356#14273689—21no—
357#14273689—21no—
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372#14273686C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273684—21no—
378#14273683—21no—
379C2×C4⋊Dic59—21no—
380C2×C4⋊Dic59C2311yescharacteristic
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C2×C22⋊Dic59—21no—
387C2×C22⋊Dic59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456#121×C59—21no—
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59—21no—
488C24×C59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C2×D4×C59—22no—
494C2×D4×C59—22no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—82no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59—44no—
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549#11745687—22no—
550#11745687—22no—
551#11745687—22no—
552#11745687—22no—
553#11745687—22no—
554#11745687—22no—
555#11745687—41no—
556#11745687—41no—
557#11745687—44no—
558#11745687—44no—
559#11745687—82no—
560D4×D59—22no—
561D4×D59—22no—
562D4×D59—22no—
563D4×D59—22no—
564D4×D59—22no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—44no—
568D4×D59—44no—
569D4×D59—82no—
570D4×D59#4114yescomplemented
571#11745685—22no—
572#11745685—22no—
573#11745685—22no—
574#11745685—22no—
575#11745685—22no—
576#11745685—22no—
577#11745685—41no—
578#11745685—41no—
579#11745685—82no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236C2×D411yescharacteristic
583C2×D236C2×D411yescharacteristic
584C2×D236C2×D411yescharacteristic
585C2×D236C2411yescharacteristic
586C2×D236C2411yescharacteristic
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—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—82no—
598C2×C4×D59—82no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118C2×D411yescharacteristic
607C2×Dic118C2×D411yescharacteristic
608C2×Dic118C2411yescharacteristic
609C2×Dic118C2411yescharacteristic
610D8×C59—22no—
611D8×C59—41no—
612D8×C59—41no—
613M16×C59—41no—
614C2×C8×C59—41no—
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59C2×D411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C42×C59—21no—
637C42×C59C2411yescharacteristic
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59C2×D411yescharacteristic
652C22⋊Dic59C2×D411yescharacteristic
653#11745670—41no—
654#11745670—41no—
655#11745669—22no—
656#11745669—22no—
657#11745669—41no—
658#11745669—41no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊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)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675(C2×D59)⋊C4C2×D411yescharacteristic
676(C2×D59)⋊C4C2×D411yescharacteristic
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59C2×D411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720C8×D59—22no—
721C8×D59—22no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—42no—
729C23×C59—42no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59—81no—
734C23×C59C22×D411yescharacteristic
735C23×C59C22×D411yescharacteristic
736C22×D59—21no—
737C22×D59—24no—
738C22×D59—21no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59C22×D411yescharacteristic
751C22×D59C22×D411yescharacteristic
752C22×D59C22×D411yescharacteristic
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—41no—
761D4×C59—42no—
762D4×C59—42no—
763D4×C59—42no—
764D4×C59—81no—
765D4×C59—81no—
766D4×C59—81no—
767D4×C59—81no—
768D4×C59—81no—
769D4×C59C2×#4112yes—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—42no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C2511yescharacteristic
786C22⋊D59—22no—
787C22⋊D59—22no—
788C22⋊D59—22no—
789C22⋊D59—22no—
790C22⋊D59—24no—
791C22⋊D59—41no—
792C22⋊D59—41no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—42no—
815C2×Dic59—42no—
816C2×Dic59—42no—
817C2×Dic59—42no—
818C2×Dic59—42no—
819C2×Dic59—81no—
820C2×Dic59—81no—
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—22no—
827D236—22no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—41no—
832D236—81no—
833D236—81no—
834D236C2×#4112yes—
835C4×D59—21no—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—41no—
840C4×D59—41no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59C2×#4112yes—
852C4×D59H(5,𝔽2)12yes—
853Dic118—22no—
854Dic118—22no—
855Dic118—21no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—42no—
860Dic118—81no—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61218—591nomaximal, Sylow
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—22no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—162no—
889C22×C59—162no—
890C22×C59C23×D411yescharacteristic
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—22no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—84no—
906C2×D59—84no—
907C2×D59—162no—
908C2×D59—162no—
909C2×D59#54612yes—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59C22×#4111yescharacteristic
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#54612yes—
931#3506—591no—
932#3496—591no—
933#3319—591no—
934#3319—591no—
935#3319—591no—
936#3319—591no—
937#3318—591no—
938#3318—591no—
939#3318—591no—
940#3318D5911yescharacteristic, complemented
941#3307—591no—
942#3307—591no—
943#3307—591no—
944#3307—591no—
945#3306—591no—
946#3306—591no—
947#3306—591no—
948#3306—591no—
949#3135—591no—
950#3099—591no—
951#3099—591no—
952#3077—591no—
953#3062—591no—
954#3062—591no—
955#3036—591no—
956#3008—591no—
957#3008—591no—
958C2×#442—591no—
959#2932—591no—
960#2897—591no—
961#2897—591no—
962C2×C59—42no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59—81no—
967C2×C59—81no—
968C2×C59C2×#54611yescharacteristic
969C2×C59#358511yescharacteristic
970C2×C59#358511yescharacteristic
971D59—22no—
972D59—41no—
973D59—41no—
974D59—42no—
975D59—81no—
976C2×H(5,𝔽2)—591no—
977C2×H(5,𝔽2)—591no—
978C2×AGL(1,ℤ/8)—591no—
979C2×AGL(1,ℤ/8)—591no—
980C22×D8—591no—
981C2×#131—591no—
982C2×#131—591no—
983#559—1181no—
984#559—1181no—
985#556—1181no—
986#555—591no—
987#555—591no—
988#553—591no—
989#553—591no—
990#553—591no—
991#553C2×D5911yescharacteristic, complemented
992#550—1181no—
993#547—591no—
994#547—591no—
995#547—591no—
996#547—591no—
997#547—1181no—
998#546—591no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—1181no—
1003#546—1181no—
1004D42—591no—
1005D42—1181no—
1006D42C2×D5911yescharacteristic, complemented
1007#538—1181no—
1008#538—1181no—
1009#537—591no—
1010#537—591no—
1011#535—591no—
1012#535—591no—
1013#534—1181no—
1014#534—1181no—
1015#533—591no—
1016#532—591no—
1017#532—591no—
1018#525—1181no—
1019#525—1181no—
1020C2×#121—1181no—
1021C2×#121—1181no—
1022#520—591no—
1023#520—591no—
1024C2×C4×D4—591no—
1025C2×C4×D4—591no—
1026#491—591no—
1027#491—591no—
1028#490—591no—
1029#490C2×D5911yescharacteristic, complemented
1030#489—591no—
1031#489—591no—
1032#489—591no—
1033#489—591no—
1034#485—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#483—591no—
1039#483—591no—
1040#483—591no—
1041#483—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482C2×D5911yescharacteristic, complemented
1046#481—591no—
1047#481—591no—
1048#481—591no—
1049#481C2×D5911yescharacteristic, complemented
1050#478—591no—
1051#478—591no—
1052#478—591no—
1053#478C2×D5911yescharacteristic, complemented
1054#476—591no—
1055#476—591no—
1056#474—591no—
1057#474—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469C2×D5911yescharacteristic, complemented
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#466—591no—
1067#466—591no—
1068#466—591no—
1069#466C2×D5911yescharacteristic, complemented
1070#465—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#463—591no—
1075#463—591no—
1076#463—591no—
1077#463—591no—
1078#461—591no—
1079#461—591no—
1080#459—591no—
1081#459C2×D5911yescharacteristic, complemented
1082#449—591no—
1083#449—591no—
1084#449—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449—591no—
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447C2×D5911yescharacteristic, complemented
1097#447C2×D5911yescharacteristic, complemented
1098#442—591no—
1099#442—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#442C2×D5911yescharacteristic, complemented
1106#435—591no—
1107#435—591no—
1108#435—591no—
1109#435—591no—
1110#435—591no—
1111#435—591no—
1112#435—591no—
1113#435C2×D5911yescharacteristic, complemented
1114#428—591no—
1115#428—591no—
1116C2×#106—591no—
1117#423—591no—
1118#418—591no—
1119#418—591no—
1120#418—591no—
1121#418—591no—
1122#418—591no—
1123#418C2×D5911yescharacteristic, complemented
1124#417—591no—
1125#417—591no—
1126#417—591no—
1127#417—591no—
1128#417—591no—
1129#417—591no—
1130#416—591no—
1131#416—591no—
1132#416—591no—
1133#416—591no—
1134#416—591no—
1135#416—591no—
1136#416—591no—
1137#416—591no—
1138C2×#102—591no—
1139C2×#102—591no—
1140C2×#102—591no—
1141C2×#102—591no—
1142C2×#102—591no—
1143C2×#102C2×D5911yescharacteristic, complemented
1144#408—591no—
1145#408—591no—
1146C2×#97—591no—
1147C59#6121811yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—1184no—
1149H(5,𝔽2)—1184no—
1150H(5,𝔽2)—2362no—
1151H(5,𝔽2)—2362no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—1181no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C22×D4—21no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4C22×D5911yescharacteristic
1177C22×D4C22×D5911yescharacteristic
1178C23×C4—1181no—
1179C23×C4—1181no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×D8—591no—
1187C2×D8—591no—
1188C2×D8—591no—
1189C2×D8—591no—
1190C2×D8—591no—
1191C2×D8—1184no—
1192C2×D8C22×D5911yescharacteristic
1193C2×D8C22×D5911yescharacteristic
1194C2×D8C22×D5911yescharacteristic
1195#131—2362no—
1196#131—2362no—
1197C2×M16—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16C22×D5911yescharacteristic
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8—591no—
1208C22×C8C22×D5911yescharacteristic
1209C4⋊Q8—591no—
1210C4⋊Q8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8—591no—
1213#127—591no—
1214#127—1181no—
1215#127—1181no—
1216#127C22×D5911yescharacteristic
1217#126—21no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#125—591no—
1222#125C22×D5911yescharacteristic
1223#124—591no—
1224#124—591no—
1225#124—591no—
1226#124—591no—
1227#124—1181no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#123—21no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249C22⋊Q8—591no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—1181no—
1254C22⋊Q8—1181no—
1255C22⋊Q8—1181no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259#121—21no—
1260#121—21no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121C22×D5911yescharacteristic
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#120—21no—
1298#120—21no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8—1181no—
1312C4×Q8—1181no—
1313C4×D4—21no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4C22×D5911yescharacteristic
1339C4×D4C22×D5911yescharacteristic
1340C4×D4C22×D5911yescharacteristic
1341#117—591no—
1342#117—591no—
1343#117—591no—
1344#117—591no—
1345#117—591no—
1346#117—1181no—
1347#117—1181no—
1348#117C22×D5911yescharacteristic
1349C2×C4⋊C4—591no—
1350C2×C4⋊C4—591no—
1351C2×C4⋊C4—591no—
1352C2×C4⋊C4—591no—
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—1181no—
1355C2×C4⋊C4—1181no—
1356C2×C4⋊C4C22×D5911yescharacteristic
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C42—591no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107C22×D5911yescharacteristic
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372#106—591no—
1373#106—591no—
1374#106C22×D5911yescharacteristic
1375#106C22×D5911yescharacteristic
1376C4⋊C8—591no—
1377C4⋊C8—591no—
1378C4⋊C8—591no—
1379C4⋊C8C22×D5911yescharacteristic
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102C22×D5911yescharacteristic
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428#97—591no—
1429#97—591no—
1430#97—591no—
1431#97C22×D5911yescharacteristic
1432C24—21no—
1433C24—21no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—1182no—
1450#41—4722no—
1451#41—4722no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2364no—
1457#41—2364no—
1458C2×Q8—591no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—1181no—
1463C2×Q8—1181no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—41no—
1476C2×D4—82no—
1477C2×D4—594no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1182no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—4722no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2364no—
1516C2×D4—2364no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4D4×D5911yescharacteristic
1522C2×D4C23×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×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—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
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—4722no—
1552C22×C4—4722no—
1553C22×C4C23×D5911yescharacteristic
1554C22×C4C23×D5911yescharacteristic
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562D8—1182no—
1563D8—1182no—
1564D8—1182no—
1565D8—2361no—
1566D8—2361no—
1567M16—41no—
1568M16—1182no—
1569M16—1182no—
1570M16—2361no—
1571M16—2361no—
1572M16—2361no—
1573C2×C8—41no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—1182no—
1579C2×C8—1182no—
1580C2×C8—2361no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C2×C8C23×D5911yescharacteristic
1586C2×C8C23×D5911yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1658C22⋊C4D4×D5911yescharacteristic
1659C42—21no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—591no—
1680C23—591no—
1681C23—591no—
1682C23—1184no—
1683C23—1181no—
1684C23—1181no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23C2×D4×D5911yescharacteristic
1697C23C2×D4×D5911yescharacteristic
1698Q8—1182no—
1699Q8—1182no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—4721no—
1705Q8—2362no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—592no—
1723D4—1182no—
1724D4—1182no—
1725D4—1184no—
1726D4—1182no—
1727D4—1182no—
1728D4—1182no—
1729D4—1182no—
1730D4—1181no—
1731D4—1181no—
1732D4—1181no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—2361no—
1742D4—2362no—
1743D4—2361no—
1744D4—2361no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4#41×D5912yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—42no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—591no—
1766C2×C4—592no—
1767C2×C4—592no—
1768C2×C4—591no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—4721no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—2361no—
1791C2×C4—2361no—
1792C2×C4—2362no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4C2×D4×D5911yescharacteristic
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C24×D5911yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1181no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—162no—
1833C22—162no—
1834C22—592no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1182no—
1840C22—1181no—
1841C22—1181no—
1842C22—1181no—
1843C22—1181no—
1844C22—9442no—
1845C22—9442no—
1846C22—4724no—
1847C22—4724no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22C22×D4×D5911yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—592no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—1181no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4—2361no—
1873C4C2×#41×D5911yescharacteristic
1874C4H(5,𝔽2)×D5911yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—81no—
1881C2—1182no—
1882C2—4721no—
1883C2—2361no—
1884C2—2361no—
1885C2—2362no—
1886C2#546×D5911yescharacteristic
1887C2#2143887111yescharacteristic
1888C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61218
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21437942C2semidirect
2. #21437852C2semidirect
3. #21436258C2semidirect
4. #21436253C2semidirect
5. #21436250C2semidirect
6. #21436245C2semidirect
7. #21436244C2semidirect
8. #21436237C2semidirect
9. #21436236C2semidirect
10. #21436077C2semidirect
11. #21436074C2semidirect
12. #21436069C2semidirect
13. #21436066C2semidirect
14. #21436061C2semidirect
15. #21436060C2semidirect
16. #21436053C2semidirect
17. #21436052C2semidirect
18. #21434440C2semidirect
19. #21434088C2semidirect
20. #21434086C2semidirect
21. #21433891C2semidirect
22. #21433775C2semidirect
23. #21433773C2semidirect
24. #21433555C2semidirect
25. #21433359C2semidirect
26. #21433359C2semidirect
27. #442×D59C2semidirect
28. #21432810C2semidirect
29. #21432621C2semidirect
30. #21432617C2semidirect
31. C59×#3318C2semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
37. C2×#14273735C22semidirect
38. C2×#14273733C22semidirect
42. #16838116C22semidirect
43. #16838115C22semidirect
44. #16838105C22semidirect
45. #16838102C22semidirect
46. #16838098C22semidirect
48. #16838057C22semidirect
49. #16838056C22semidirect
50. #16838053C22semidirect
52. #16838052C22semidirect
53. #16838049C22semidirect
54. #16838049C22semidirect
55. #16838046C22semidirect
56. #16838046C22semidirect
59. #16838037C22semidirect
65. #16837968C22semidirect
66. #16837968C22semidirect
69. #16837958C22semidirect
76. #16837883C22semidirect
77. #16837882C22semidirect
79. C4×D4×D59C22semidirect
80. #16837772C22semidirect
81. #16837771C22semidirect
82. #16837766C22semidirect
83. #16837760C22semidirect
84. #16837760C22semidirect
85. #16837760C22semidirect
86. #16837760C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837734C22semidirect
92. #16837734C22semidirect
93. #16837733C22semidirect
94. #16837732C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837699C22semidirect
104. #16837691C22semidirect
105. #16837690C22semidirect
106. #16837681C22semidirect
107. #16837680C22semidirect
108. #16837654C22semidirect
109. #16837653C22semidirect
110. #16837652C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837647C22semidirect
114. #16837646C22semidirect
115. #16837637C22semidirect
116. #16837636C22semidirect
117. #16837635C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837629C22semidirect
122. #16837616C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837608C22semidirect
127. #16837607C22semidirect
128. #16837594C22semidirect
129. #16837549C22semidirect
130. #16837549C22semidirect
131. #16837548C22semidirect
132. #16837548C22semidirect
133. #16837545C22semidirect
134. #16837545C22semidirect
135. #16837544C22semidirect
136. #16837544C22semidirect
137. #16837537C22semidirect
138. #16837537C22semidirect
139. #16837536C22semidirect
140. #16837536C22semidirect
141. #16837534C22semidirect
142. #16837534C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837513C22semidirect
146. #16837512C22semidirect
147. #16837512C22semidirect
148. #16837511C22semidirect
149. #16837511C22semidirect
150. #16837476C22semidirect
151. #16837475C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837472C22semidirect
155. #16837471C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #106×D59C22semidirect
160. #16837424C22semidirect
161. #16837407C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837404C22semidirect
167. #16837401C22semidirect
168. #16837400C22semidirect
169. #16837400C22semidirect
170. #16837400C22semidirect
171. #16837400C22semidirect
172. #16837399C22semidirect
173. #16837396C22semidirect
174. #16837395C22semidirect
175. #16837395C22semidirect
176. #16837395C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #97×D59C22semidirect
188. C59×#553C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
570. D4×D59#41semidirect
940. #3318D59semidirect
991. #553C2×D59semidirect
1006. D42C2×D59semidirect
1029. #490C2×D59semidirect
1045. #482C2×D59semidirect
1049. #481C2×D59semidirect
1053. #478C2×D59semidirect
1061. #469C2×D59semidirect
1069. #466C2×D59semidirect
1081. #459C2×D59semidirect
1096. #447C2×D59semidirect
1097. #447C2×D59semidirect
1105. #442C2×D59semidirect
1113. #435C2×D59semidirect
1123. #418C2×D59semidirect
1143. C2×#102C2×D59semidirect
1147. C59#61218semidirect

Maximal subgroups

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

subgroupindex
#214379422
#214378522
#214362582
#214362532
#214362502
#214362452
#214362442
#214362372
#214362362
#214360772
#214360742
#214360692
#214360662
#214360612
#214360602
#214360532
#214360522
#214344402
#214340882
#214340862
#214338912
#214337752
#214337732
#214335552
#214333592
#442×D592
#214328102
#214326212
#214326172
C59×#33182
#6121859