Finite Group Databasebeta

← D59×#3326 #29465534

Subgroups — D59×#3326 #29465534

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D59C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436356C211yesmaximal, characteristic, complemented
4#21436355C211yesmaximal, characteristic, complemented
5#21436354C211yesmaximal, characteristic, complemented
6#21436353C211yesmaximal, characteristic, complemented
7#21436352C211yesmaximal, characteristic, complemented
8#21436351C211yesmaximal, characteristic, complemented
9#21436350C211yesmaximal, characteristic, complemented
10#21436349C211yesmaximal, characteristic, complemented
11#21436348C211yesmaximal, characteristic, complemented
12#21436347C211yesmaximal, characteristic, complemented
13#21436346C211yesmaximal, characteristic, complemented
14#21436345C211yesmaximal, characteristic, complemented
15#21436344C211yesmaximal, characteristic, complemented
16#21436343C211yesmaximal, characteristic, complemented
17#21436342C211yesmaximal, characteristic, complemented
18#488×D59C211yesmaximal, characteristic, complemented
19#482×D59C211yesmaximal, characteristic, complemented
20#483×D59C211yesmaximal, characteristic, complemented
21#479×D59C211yesmaximal, characteristic, complemented
22#469×D59C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#463×D59C211yesmaximal, characteristic, complemented
25#449×D59C211yesmaximal, characteristic, complemented
26#448×D59C211yesmaximal, characteristic, complemented
27C4×SD16×D59C211yesmaximal, characteristic, complemented
28#436×D59C211yesmaximal, characteristic, complemented
29#417×D59C211yesmaximal, characteristic, complemented
30#419×D59C211yesmaximal, characteristic, complemented
31C59×#3326C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36C2×D8×D59C2211yescharacteristic
37C2×M16×D59C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic
39#16838105C2211yescharacteristic, complemented
40#16838104C2211yescharacteristic, complemented
41#16838103—21no—
42#16838102C2211yescharacteristic, complemented
43#16838101—21no—
44#16838100C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic, complemented
46#16838098C2211yescharacteristic, complemented
47#16838097—21no—
48#16838096C2211yescharacteristic, complemented
49#16838095—21no—
50#16838064C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic, complemented
52#16838062—21no—
53#16838062C2211yescharacteristic, complemented
54#16838061—21no—
55#16838061C2211yescharacteristic, complemented
56#16838060—21no—
57#16838060C2211yescharacteristic, complemented
58#16838059C2211yescharacteristic, complemented
59#16838058—21no—
60#16838058C2211yescharacteristic, complemented
61#126×D59—21no—
62#125×D59C2211yescharacteristic
63#124×D59—21no—
64#124×D59C2211yescharacteristic
65#123×D59—21no—
66C22⋊Q8×D59—21no—
67C22⋊Q8×D59C2211yescharacteristic
68#121×D59—21no—
69#121×D59—21no—
70#121×D59C2211yescharacteristic
71#121×D59C2211yescharacteristic
72#121×D59C2211yescharacteristic
73C4×Q8×D59C2211yescharacteristic
74C4×D4×D59—21no—
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#117×D59C2211yescharacteristic
79C2×C4⋊C4×D59C2211yescharacteristic
80#16837759C2211yescharacteristic, complemented
81#16837758C2211yescharacteristic, complemented
82#16837758C2211yescharacteristic, complemented
83#16837757C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837734C2211yescharacteristic, complemented
88#16837734C2211yescharacteristic, complemented
89#16837733C2211yescharacteristic, complemented
90#16837732C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837724C2211yescharacteristic, complemented
100#16837723C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837711C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837709C2211yescharacteristic, complemented
105#16837708C2211yescharacteristic, complemented
106#16837707C2211yescharacteristic, complemented
107#16837706C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837652C2211yescharacteristic, complemented
115#16837651C2211yescharacteristic, complemented
116#16837650C2211yescharacteristic, complemented
117#16837649C2211yescharacteristic, complemented
118#16837648C2211yescharacteristic, complemented
119#16837647C2211yescharacteristic, complemented
120#16837646C2211yescharacteristic, complemented
121#16837645C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic, complemented
131#16837548C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837543C2211yescharacteristic, complemented
137#16837542C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic, complemented
139#16837541C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837539C2211yescharacteristic, complemented
142#16837539C2211yescharacteristic, complemented
143#16837493C2211yescharacteristic, complemented
144C4×#11745660C2211yescharacteristic, complemented
145SD16×Dic59C2211yescharacteristic, complemented
146C4×#11745671C2211yescharacteristic, complemented
147#16837489C2211yescharacteristic, complemented
148C4×#11745670C2211yescharacteristic, complemented
149#16837487C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837480C2211yescharacteristic, complemented
152#16837479C2211yescharacteristic, complemented
153#16837478C2211yescharacteristic, complemented
154#16837478C2211yescharacteristic, complemented
155#16837477C2211yescharacteristic, complemented
156#16837477C2211yescharacteristic, complemented
157#107×D59C2211yescharacteristic
158#106×D59C2211yescharacteristic
159#106×D59C2211yescharacteristic
160C4⋊C8×D59C2211yescharacteristic
161#16837412C2211yescharacteristic, complemented
162#16837411C2211yescharacteristic, complemented
163#16837410C2211yescharacteristic, complemented
164#16837409C2211yescharacteristic, complemented
165#16837409C2211yescharacteristic, complemented
166#16837409C2211yescharacteristic, complemented
167#16837409C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837403C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#103×D59C2211yescharacteristic
176#103×D59C2211yescharacteristic
177#103×D59C2211yescharacteristic
178#103×D59C2211yescharacteristic
179#103×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic
187C4×C8×D59C2211yescharacteristic
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208#41×D59—24no—
209#41×D59—42no—
210C22×Dic118—21no—
211C22×Dic118C2311yescharacteristic
212C2×Q8×D59—21no—
213C2×Q8×D59—21no—
214C2×Q8×D59—24no—
215C2×Q8×D59—42no—
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239SD16×D59—24no—
240SD16×D59—42no—
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244D8×D59—42no—
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251M16×D59—42no—
252M16×D59—42no—
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273721—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273719C2311yescharacteristic
265#14273718C2311yescharacteristic
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273716—21no—
270#14273716C2311yescharacteristic
271#14273715—21no—
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#14273712—21no—
282#14273712—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273707—21no—
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706C2311yescharacteristic
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703—21no—
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273701—21no—
306#14273701—21no—
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329Q8×Dic59C2311yescharacteristic
330C4×Dic118—21no—
331C4×Dic118C2311yescharacteristic
332#14273692—21no—
333#14273692C2311yescharacteristic
334C4×D236—21no—
335C4×D236—21no—
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59—21no—
339D4×Dic59—21no—
340D4×Dic59D411yescharacteristic
341D4×Dic59C2311yescharacteristic
342#14273689—21no—
343#14273689—21no—
344#14273689D411yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4D411yescharacteristic
359(C22⋊D59)⋊C4D411yescharacteristic
360#14273686C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273685C2311yescharacteristic
363#14273684—21no—
364#14273683—21no—
365C2×C4⋊Dic59C2311yescharacteristic
366C2×Dic59⋊C4—21no—
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59D411yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59D411yescharacteristic
389C22⋊C4×D59D411yescharacteristic
390C42×D59—21no—
391C42×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#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
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
441C4×C59⋊C8C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
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#103×C59C2311yescharacteristic
475#103×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
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529#11745689—22no—
530#11745689—41no—
531Q8×D59—22no—
532Q8×D59—22no—
533Q8×D59—22no—
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—41no—
537Q8×D59—41no—
538Q8×D59—44no—
539Q8×D59—44no—
540Q8×D59#4114yes—
541#11745687—22no—
542#11745687—41no—
543#11745687—44no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—42no—
549D4×D59—44no—
550D4×D59—44no—
551D4×D59—44no—
552D4×D59—82no—
553#11745685—22no—
554#11745685—44no—
555#11745685—41no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236C2×D411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×C4×D59—21no—
564C2×C4×D59—22no—
565C2×C4×D59—22no—
566C2×C4×D59—22no—
567C2×C4×D59—22no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—44no—
582C2×C4×D59—44no—
583C2×C4×D59—82no—
584C2×C4×D59—82no—
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—22no—
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—41no—
601C2×Dic118—44no—
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604SD16×C59—22no—
605SD16×C59—41no—
606D8×C59—41no—
607M16×C59—41no—
608M16×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59C2×D411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C42×C59—21no—
634C42×C59—21no—
635C42×C59C2411yescharacteristic
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745671—22no—
647#11745671—41no—
648#11745670—22no—
649#11745670—41no—
650#11745669—41no—
651#11745669—41no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59C2×D411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698C4×Dic59—21no—
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—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—41no—
714#11745660—22no—
715#11745660—41no—
716#11745659—41no—
717#11745659—41no—
718#11745659—41no—
719#11745659—41no—
720C8×D59—22no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—22no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—22no—
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—22no—
732C22×D59—22no—
733C22×D59—22no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59C22×D411yescharacteristic
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—42no—
749Q8×C59C2×#4112yes—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—41no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—42no—
758D4×C59—81no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—42no—
770C2×C4×C59—42no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C2511yescharacteristic
778C22⋊D59—41no—
779C22⋊D59—41no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—22no—
792C2×Dic59—22no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—42no—
799C2×Dic59—42no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807D236—21no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—41no—
812D236—42no—
813D236—42no—
814D236—42no—
815D236—81no—
816C4×D59—22no—
817C4×D59—22no—
818C4×D59—24no—
819C4×D59—22no—
820C4×D59—22no—
821C4×D59—21no—
822C4×D59—21no—
823C4×D59—21no—
824C4×D59—21no—
825C4×D59—22no—
826C4×D59—22no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—42no—
834C4×D59—42no—
835C4×D59—42no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59C2×#4112yes—
841C4×D59H(5,𝔽2)12yes—
842Dic118—21no—
843Dic118—24no—
844Dic118—21no—
845Dic118—21no—
846Dic118—42no—
847Dic118—42no—
848Dic118—42no—
849Dic118—42no—
850Dic118C2×#4112yes—
851C8×C59—21no—
852C8×C59—21no—
853C8×C59—21no—
854C8×C59—21no—
855C59⋊C8—21no—
856C59⋊C8—21no—
857C59⋊C8—21no—
858C59⋊C8—21no—
859C2×#3326—591nomaximal, Sylow
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—21no—
863C22×C59—21no—
864C22×C59—21no—
865C22×C59—21no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59C23×D411yescharacteristic
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—44no—
880C2×D59—44no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—84no—
888C2×D59—84no—
889C2×D59#54612yes—
890C2×D59#57512yes—
891C2×D59#57712yes—
892C4×C59—22no—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—41no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59C22×#4111yescharacteristic
903C4×C59C2×H(5,𝔽2)11yescharacteristic
904Dic59—22no—
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59#54612yes—
915C2×#553—591no—
916C2×#548—591no—
917#3326—591no—
918#3326—591no—
919#3326—591no—
920#3326—591no—
921#3326—591no—
922#3326—591no—
923#3326—591no—
924#3326—591no—
925#3326—591no—
926#3326—591no—
927#3326—591no—
928#3326—591no—
929#3326—591no—
930#3326—591no—
931#3326—591no—
932#3326D5911yescharacteristic, direct product factor
933C2×#488—591no—
934C2×#482—591no—
935C2×#483—591no—
936C2×#479—591no—
937C2×#469—591no—
938C2×#468—591no—
939C2×#463—591no—
940C2×#449—591no—
941C2×#448—591no—
942C2×C4×SD16—591no—
943C2×#436—591no—
944C2×#417—591no—
945C2×#419—591no—
946C2×C59—41no—
947C2×C59—41no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59C2×#54611yescharacteristic
951C2×C59C2×#57511yescharacteristic
952C2×C59C2×#57711yescharacteristic
953D59—41no—
954D59—41no—
955D59—81no—
956D59—81no—
957D59#332614yesdirect product factor
958C22×#41—591no—
959C23×Q8—591no—
960C22×SD16—591no—
961C22×SD16—591no—
962C22×D8—591no—
963C22×M16—591no—
964C22×M16—591no—
965#553—591no—
966#553—591no—
967#553—591no—
968#553—591no—
969#553—591no—
970#553—591no—
971#553—591no—
972#553—1181no—
973#553—1181no—
974#553—1181no—
975#553—1181no—
976#553C2×D5911yescharacteristic, complemented
977#548—591no—
978#548—591no—
979#548—591no—
980#548—591no—
981#548—591no—
982#548—591no—
983#548—591no—
984#548—1181no—
985#548—1181no—
986#548—1181no—
987#548—1181no—
988#548C2×D5911yescharacteristic, complemented
989C2×#126—1181no—
990C2×#125—591no—
991C2×#124—591no—
992C2×#124—1181no—
993C2×#123—1181no—
994C2×C22⋊Q8—591no—
995C2×C22⋊Q8—1181no—
996C2×#121—591no—
997C2×#121—591no—
998C2×#121—591no—
999C2×#121—1181no—
1000C2×#121—1181no—
1001C2×C4×Q8—591no—
1002C2×C4×D4—591no—
1003C2×C4×D4—591no—
1004C2×C4×D4—1181no—
1005C2×C4×D4—1181no—
1006C2×#117—591no—
1007C22×C4⋊C4—591no—
1008#488—591no—
1009#488—591no—
1010#488—591no—
1011#488—591no—
1012#488—591no—
1013#488—591no—
1014#488—591no—
1015#488C2×D5911yescharacteristic, complemented
1016#483—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483—591no—
1021#483—591no—
1022#483—591no—
1023#483C2×D5911yescharacteristic, complemented
1024#482—591no—
1025#482—591no—
1026#482—591no—
1027#482—591no—
1028#482—591no—
1029#482—591no—
1030#482—591no—
1031#482C2×D5911yescharacteristic, complemented
1032#479—591no—
1033#479—591no—
1034#479—591no—
1035#479—591no—
1036#479—591no—
1037#479—591no—
1038#479—591no—
1039#479C2×D5911yescharacteristic, complemented
1040#469—591no—
1041#469—591no—
1042#469—591no—
1043#469—591no—
1044#469—591no—
1045#469—591no—
1046#469—591no—
1047#469C2×D5911yescharacteristic, complemented
1048#468—591no—
1049#468—591no—
1050#468—591no—
1051#468—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468C2×D5911yescharacteristic, complemented
1056#463—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#463—591no—
1063#463C2×D5911yescharacteristic, complemented
1064#449—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449C2×D5911yescharacteristic, complemented
1072#448—591no—
1073#448—591no—
1074#448—591no—
1075#448—591no—
1076#448—591no—
1077#448—591no—
1078#448—591no—
1079#448C2×D5911yescharacteristic, complemented
1080C4×SD16—591no—
1081C4×SD16—591no—
1082C4×SD16—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×SD16—591no—
1086C4×SD16—591no—
1087C4×SD16C2×D5911yescharacteristic, complemented
1088#436—591no—
1089#436—591no—
1090#436—591no—
1091#436—591no—
1092#436—591no—
1093#436—591no—
1094#436—591no—
1095#436C2×D5911yescharacteristic, complemented
1096C2×#107—591no—
1097C2×#106—591no—
1098C2×#106—591no—
1099C2×C4⋊C8—591no—
1100#419—591no—
1101#419—591no—
1102#419—591no—
1103#419—591no—
1104#419—591no—
1105#419—591no—
1106#419—591no—
1107#419C2×D5911yescharacteristic, complemented
1108#417—591no—
1109#417—591no—
1110#417—591no—
1111#417—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417C2×D5911yescharacteristic, complemented
1116C2×#103—591no—
1117C2×#103—591no—
1118C2×#103—591no—
1119C2×#103—591no—
1120C2×#103—591no—
1121C2×#103—591no—
1122C2×#102—591no—
1123C2×#102—591no—
1124C2×#102—591no—
1125C2×#102—591no—
1126C2×C22⋊C8—591no—
1127C2×C22⋊C8—591no—
1128C2×C4×C8—591no—
1129C59C2×#332611yescharacteristic, complemented, Sylow
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1184no—
1136C2×#41—2362no—
1137C2×#41C22×D5911yescharacteristic
1138C22×Q8—591no—
1139C22×Q8—591no—
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—591no—
1143C22×Q8—1181no—
1144C22×Q8—1181no—
1145C22×Q8—1181no—
1146C22×Q8—1184no—
1147C22×Q8—2362no—
1148C22×Q8C22×D5911yescharacteristic
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—1181no—
1153C22×D4—1181no—
1154C22×D4—1181no—
1155C22×D4—1181no—
1156C23×C4—591no—
1157C23×C4—591no—
1158C23×C4—1181no—
1159C23×C4—1181no—
1160C23×C4—1181no—
1161C23×C4—1181no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—591no—
1166C2×SD16—591no—
1167C2×SD16—591no—
1168C2×SD16—1184no—
1169C2×SD16—2362no—
1170C2×SD16C22×D5911yescharacteristic
1171C2×SD16C22×D5911yescharacteristic
1172C2×D8—591no—
1173C2×D8—591no—
1174C2×D8—591no—
1175C2×D8—2362no—
1176C2×D8C22×D5911yescharacteristic
1177C2×M16—591no—
1178C2×M16—591no—
1179C2×M16—591no—
1180C2×M16—591no—
1181C2×M16—591no—
1182C2×M16—591no—
1183C2×M16—2362no—
1184C2×M16—2362no—
1185C2×M16C22×D5911yescharacteristic
1186C2×M16C22×D5911yescharacteristic
1187C22×C8—591no—
1188C22×C8—591no—
1189C22×C8—591no—
1190C22×C8—591no—
1191#126—21no—
1192#126—1181no—
1193#126—1181no—
1194#126—1181no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#126—1181no—
1199#125—591no—
1200#125—591no—
1201#125—591no—
1202#125—1181no—
1203#125—1181no—
1204#125C22×D5911yescharacteristic
1205#124—21no—
1206#124—591no—
1207#124—591no—
1208#124—591no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#124—1181no—
1215#124—1181no—
1216#124—1181no—
1217#124—1181no—
1218#124C22×D5911yescharacteristic
1219#123—21no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
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⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8C22×D5911yescharacteristic
1241#121—21no—
1242#121—21no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
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#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121C22×D5911yescharacteristic
1273#121C22×D5911yescharacteristic
1274#121C22×D5911yescharacteristic
1275C4×Q8—591no—
1276C4×Q8—591no—
1277C4×Q8—591no—
1278C4×Q8—1181no—
1279C4×Q8—1181no—
1280C4×Q8C22×D5911yescharacteristic
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117C22×D5911yescharacteristic
1317C2×C4⋊C4—591no—
1318C2×C4⋊C4—591no—
1319C2×C4⋊C4—591no—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4—1181no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4—1181no—
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C22⋊C4—591no—
1334C2×C22⋊C4—591no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C22⋊C4—1181no—
1340C2×C22⋊C4—1181no—
1341C2×C22⋊C4—1181no—
1342C2×C22⋊C4—1181no—
1343C2×C42—591no—
1344C2×C42—1181no—
1345C2×C42—1181no—
1346#107—591no—
1347#107—591no—
1348#107—591no—
1349#107C22×D5911yescharacteristic
1350#106—591no—
1351#106—591no—
1352#106—591no—
1353#106—591no—
1354#106—591no—
1355#106—591no—
1356#106C22×D5911yescharacteristic
1357#106C22×D5911yescharacteristic
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8C22×D5911yescharacteristic
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#103C22×D5911yescharacteristic
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400#102C22×D5911yescharacteristic
1401#102C22×D5911yescharacteristic
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8C22×D5911yescharacteristic
1409C22⋊C8C22×D5911yescharacteristic
1410C4×C8—591no—
1411C4×C8—591no—
1412C4×C8—591no—
1413C4×C8C22×D5911yescharacteristic
1414C24—591no—
1415C24—591no—
1416C24—1181no—
1417C24—1181no—
1418#41—22no—
1419#41—41no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—2361no—
1424#41—2364no—
1425#41—2361no—
1426#41—2364no—
1427#41—2361no—
1428C2×Q8—21no—
1429C2×Q8—22no—
1430C2×Q8—41no—
1431C2×Q8—594no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—1182no—
1441C2×Q8—1182no—
1442C2×Q8—1181no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—2361no—
1446C2×Q8—2364no—
1447C2×Q8—2364no—
1448C2×Q8—2361no—
1449C2×Q8—2361no—
1450C2×Q8—2364no—
1451C2×Q8C23×D5911yescharacteristic
1452C2×Q8C23×D5911yescharacteristic
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1182no—
1467C2×D4—1182no—
1468C2×D4—1182no—
1469C2×D4—1182no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—4722no—
1481C2×D4—2362no—
1482C2×D4—2364no—
1483C2×D4—2364no—
1484C2×D4—2364no—
1485C2×D4D4×D5911yescharacteristic
1486C2×D4C23×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—591no—
1500C22×C4—591no—
1501C22×C4—591no—
1502C22×C4—591no—
1503C22×C4—1182no—
1504C22×C4—1182no—
1505C22×C4—1182no—
1506C22×C4—1182no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—4722no—
1526C22×C4—4722no—
1527C22×C4—2364no—
1528C22×C4—2364no—
1529C22×C4C23×D5911yescharacteristic
1530C22×C4C23×D5911yescharacteristic
1531SD16—22no—
1532SD16—41no—
1533SD16—1182no—
1534SD16—1182no—
1535SD16—1182no—
1536SD16—2361no—
1537SD16—2361no—
1538SD16—2361no—
1539D8—41no—
1540D8—2361no—
1541D8—2361no—
1542D8—2361no—
1543M16—41no—
1544M16—41no—
1545M16—2361no—
1546M16—2361no—
1547M16—2361no—
1548M16—2361no—
1549M16—2361no—
1550M16—2361no—
1551C2×C8—591no—
1552C2×C8—591no—
1553C2×C8—591no—
1554C2×C8—591no—
1555C2×C8—1182no—
1556C2×C8—1182no—
1557C2×C8—1182no—
1558C2×C8—1182no—
1559C2×C8C23×D5911yescharacteristic
1560C2×C8C23×D5911yescharacteristic
1561C2×C8C23×D5911yescharacteristic
1562C2×C8C23×D5911yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—591no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4D4×D5911yescharacteristic
1595C4⋊C4C23×D5911yescharacteristic
1596C4⋊C4C23×D5911yescharacteristic
1597C4⋊C4C23×D5911yescharacteristic
1598C4⋊C4C23×D5911yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—591no—
1610C22⋊C4—591no—
1611C22⋊C4—591no—
1612C22⋊C4—591no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4D4×D5911yescharacteristic
1638C22⋊C4D4×D5911yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—591no—
1642C42—591no—
1643C42—591no—
1644C42—1181no—
1645C42—1181no—
1646C42—1181no—
1647C42—1181no—
1648C42—1181no—
1649C42—1181no—
1650C42C23×D5911yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—591no—
1654C23—591no—
1655C23—591no—
1656C23—1182no—
1657C23—1182no—
1658C23—1182no—
1659C23—1182no—
1660C23—1182no—
1661C23—1182no—
1662C23—1181no—
1663C23—1181no—
1664C23—2362no—
1665C23—2362no—
1666C23—2362no—
1667C23—2362no—
1668C23—2362no—
1669C23—2362no—
1670C23C2×D4×D5911yescharacteristic
1671C23C2×D4×D5911yescharacteristic
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—42no—
1676Q8—592no—
1677Q8—1184no—
1678Q8—1181no—
1679Q8—1181no—
1680Q8—1181no—
1681Q8—2362no—
1682Q8—2362no—
1683Q8—2362no—
1684Q8—2362no—
1685Q8#41×D5912yes—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—41no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—1181no—
1696D4—1181no—
1697D4—1181no—
1698D4—1181no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—2361no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706D4—2362no—
1707D4—2362no—
1708D4—2361no—
1709D4—2361no—
1710D4—2362no—
1711D4—2362no—
1712D4—2362no—
1713D4—2362no—
1714D4—2362no—
1715D4—2362no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4—591no—
1731C2×C4—592no—
1732C2×C4—592no—
1733C2×C4—591no—
1734C2×C4—591no—
1735C2×C4—591no—
1736C2×C4—591no—
1737C2×C4—1182no—
1738C2×C4—1182no—
1739C2×C4—1182no—
1740C2×C4—1182no—
1741C2×C4—1182no—
1742C2×C4—1182no—
1743C2×C4—1184no—
1744C2×C4—1182no—
1745C2×C4—1182no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—2362no—
1763C2×C4—2362no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C24×D5911yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1181no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—592no—
1799C22—592no—
1800C22—592no—
1801C22—1181no—
1802C22—1181no—
1803C22—1181no—
1804C22—1181no—
1805C22—1181no—
1806C22—1181no—
1807C22—4724no—
1808C22—4724no—
1809C22—2364no—
1810C22—2364no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22C22×D4×D5911yescharacteristic
1818C4—21no—
1819C4—21no—
1820C4—22no—
1821C4—21no—
1822C4—21no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—592no—
1829C4—1181no—
1830C4—1181no—
1831C4—1182no—
1832C4—1181no—
1833C4—1181no—
1834C4—2361no—
1835C4—2361no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4C2×#41×D5911yescharacteristic
1840C4H(5,𝔽2)×D5911yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—594no—
1846C2—4721no—
1847C2—4721no—
1848C2—2361no—
1849C2—2361no—
1850C2#546×D5911yescharacteristic
1851C2#575×D5911yescharacteristic
1852C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3326C2
socleC22×C59C23×D4
hypercenter#3326D59
hypocenterC59C2×#3326
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #553×D59C2semidirect
2. #548×D59C2semidirect
3. #21436356C2semidirect
4. #21436355C2semidirect
5. #21436354C2semidirect
6. #21436353C2semidirect
7. #21436352C2semidirect
8. #21436351C2semidirect
9. #21436350C2semidirect
10. #21436349C2semidirect
11. #21436348C2semidirect
12. #21436347C2semidirect
13. #21436346C2semidirect
14. #21436345C2semidirect
15. #21436344C2semidirect
16. #21436343C2semidirect
17. #21436342C2semidirect
18. #488×D59C2semidirect
19. #482×D59C2semidirect
20. #483×D59C2semidirect
21. #479×D59C2semidirect
22. #469×D59C2semidirect
23. #468×D59C2semidirect
24. #463×D59C2semidirect
25. #449×D59C2semidirect
26. #448×D59C2semidirect
27. C4×SD16×D59C2semidirect
28. #436×D59C2semidirect
29. #417×D59C2semidirect
30. #419×D59C2semidirect
31. C59×#3326C2semidirect
39. #16838105C22semidirect
40. #16838104C22semidirect
42. #16838102C22semidirect
44. #16838100C22semidirect
45. #16838099C22semidirect
46. #16838098C22semidirect
48. #16838096C22semidirect
50. #16838064C22semidirect
51. #16838063C22semidirect
53. #16838062C22semidirect
55. #16838061C22semidirect
57. #16838060C22semidirect
58. #16838059C22semidirect
60. #16838058C22semidirect
80. #16837759C22semidirect
81. #16837758C22semidirect
82. #16837758C22semidirect
83. #16837757C22semidirect
84. #16837756C22semidirect
85. #16837755C22semidirect
86. #16837755C22semidirect
87. #16837734C22semidirect
88. #16837734C22semidirect
89. #16837733C22semidirect
90. #16837732C22semidirect
91. #16837731C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837727C22semidirect
97. #16837726C22semidirect
98. #16837725C22semidirect
99. #16837724C22semidirect
100. #16837723C22semidirect
101. #16837712C22semidirect
102. #16837711C22semidirect
103. #16837710C22semidirect
104. #16837709C22semidirect
105. #16837708C22semidirect
106. #16837707C22semidirect
107. #16837706C22semidirect
108. #16837656C22semidirect
109. #16837655C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837653C22semidirect
113. #16837653C22semidirect
114. #16837652C22semidirect
115. #16837651C22semidirect
116. #16837650C22semidirect
117. #16837649C22semidirect
118. #16837648C22semidirect
119. #16837647C22semidirect
120. #16837646C22semidirect
121. #16837645C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837616C22semidirect
127. #16837615C22semidirect
128. #16837614C22semidirect
129. #16837550C22semidirect
130. #16837549C22semidirect
131. #16837548C22semidirect
132. #16837547C22semidirect
133. #16837546C22semidirect
134. #16837545C22semidirect
135. #16837544C22semidirect
136. #16837543C22semidirect
137. #16837542C22semidirect
138. #16837542C22semidirect
139. #16837541C22semidirect
140. #16837540C22semidirect
141. #16837539C22semidirect
142. #16837539C22semidirect
143. #16837493C22semidirect
144. C4×#11745660C22semidirect
145. SD16×Dic59C22semidirect
146. C4×#11745671C22semidirect
147. #16837489C22semidirect
148. C4×#11745670C22semidirect
149. #16837487C22semidirect
150. #16837481C22semidirect
151. #16837480C22semidirect
152. #16837479C22semidirect
153. #16837478C22semidirect
154. #16837478C22semidirect
155. #16837477C22semidirect
156. #16837477C22semidirect
161. #16837412C22semidirect
162. #16837411C22semidirect
163. #16837410C22semidirect
164. #16837409C22semidirect
165. #16837409C22semidirect
166. #16837409C22semidirect
167. #16837409C22semidirect
168. #16837404C22semidirect
169. #16837403C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837401C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
188. C59×#553C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#417C22semidirect
932. #3326D59direct (N × H)
957. D59#3326direct (N × H)
976. #553C2×D59semidirect
988. #548C2×D59semidirect
1015. #488C2×D59semidirect
1023. #483C2×D59semidirect
1031. #482C2×D59semidirect
1039. #479C2×D59semidirect
1047. #469C2×D59semidirect
1055. #468C2×D59semidirect
1063. #463C2×D59semidirect
1071. #449C2×D59semidirect
1079. #448C2×D59semidirect
1087. C4×SD16C2×D59semidirect
1095. #436C2×D59semidirect
1107. #419C2×D59semidirect
1115. #417C2×D59semidirect
1129. C59C2×#3326semidirect

Maximal subgroups

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

subgroupindex
#553×D592
#548×D592
#214363562
#214363552
#214363542
#214363532
#214363522
#214363512
#214363502
#214363492
#214363482
#214363472
#214363462
#214363452
#214363442
#214363432
#214363422
#488×D592
#482×D592
#483×D592
#479×D592
#469×D592
#468×D592
#463×D592
#449×D592
#448×D592
C4×SD16×D592
#436×D592
#417×D592
#419×D592
C59×#33262
C2×#332659