Finite Group Databasebeta

← D59×#3351 #29467359

Subgroups — D59×#3351 #29467359

Order 15104.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D59C211yesmaximal, characteristic
2#552×D59C211yesmaximal, characteristic, complemented
3#21436663C211yesmaximal, characteristic, complemented
4#21436662C211yesmaximal, characteristic, complemented
5#21436661C211yesmaximal, characteristic, complemented
6#21436660C211yesmaximal, characteristic, complemented
7#21436659C211yesmaximal, characteristic, complemented
8#21436658C211yesmaximal, characteristic, complemented
9#21436657C211yesmaximal, characteristic, complemented
10#21436656C211yesmaximal, characteristic, complemented
11#21436655C211yesmaximal, characteristic, complemented
12#21436654C211yesmaximal, characteristic, complemented
13#21436653C211yesmaximal, characteristic, complemented
14#21436652C211yesmaximal, characteristic, complemented
15#21436651C211yesmaximal, characteristic, complemented
16#21436650C211yesmaximal, characteristic, complemented
17#21436649C211yesmaximal, characteristic, complemented
18#499×D59C211yesmaximal, characteristic, complemented
19#481×D59C211yesmaximal, characteristic, complemented
20#485×D59C211yesmaximal, characteristic, complemented
21#482×D59C211yesmaximal, characteristic, complemented
22#483×D59C211yesmaximal, characteristic, complemented
23#479×D59C211yesmaximal, characteristic, complemented
24#478×D59C211yesmaximal, characteristic, complemented
25#468×D59C211yesmaximal, characteristic, complemented
26#468×D59C211yesmaximal, characteristic, complemented
27C4×SD16×D59C211yesmaximal, characteristic, complemented
28#436×D59C211yesmaximal, characteristic, complemented
29#428×D59C211yesmaximal, characteristic, complemented
30#428×D59C211yesmaximal, characteristic, complemented
31C59×#3351C211yesmaximal, characteristic, complemented
32C2×SD16×D59C2211yescharacteristic
33C2×M16×D59C2211yescharacteristic
34C2×M16×D59C2211yescharacteristic
35#16838105C2211yescharacteristic
36#16838104C2211yescharacteristic
37#16838103—21no—
38#16838102C2211yescharacteristic
39#16838101—21no—
40#16838100C2211yescharacteristic
41#16838099C2211yescharacteristic
42#16838098C2211yescharacteristic
43#16838097—21no—
44#16838096C2211yescharacteristic
45#16838095—21no—
46#16838094C2211yescharacteristic, complemented
47#16838093C2211yescharacteristic, complemented
48#16838092C2211yescharacteristic, complemented
49#16838091C2211yescharacteristic, complemented
50#16838090C2211yescharacteristic, complemented
51#16838089—21no—
52#16838088—21no—
53#16838087C2211yescharacteristic, complemented
54#16838086C2211yescharacteristic, complemented
55#16838085—21no—
56#16838084—21no—
57#126×D59—21no—
58#126×D59—21no—
59#125×D59—21no—
60#125×D59C2211yescharacteristic
61#125×D59C2211yescharacteristic
62#123×D59—21no—
63#123×D59—21no—
64C22⋊Q8×D59C2211yescharacteristic
65C22⋊Q8×D59C2211yescharacteristic
66#121×D59—21no—
67#121×D59C2211yescharacteristic
68#121×D59C2211yescharacteristic
69C4×Q8×D59C2211yescharacteristic
70C4×D4×D59—21no—
71C4×D4×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73#117×D59—21no—
74#117×D59C2211yescharacteristic
75#117×D59C2211yescharacteristic
76C2×C4⋊C4×D59C2211yescharacteristic
77C2×C4⋊C4×D59C2211yescharacteristic
78#16837804C2211yescharacteristic, complemented
79#16837803C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837802C2211yescharacteristic, complemented
82#16837802C2211yescharacteristic, complemented
83#16837801C2211yescharacteristic, complemented
84#16837801C2211yescharacteristic, complemented
85#16837746C2211yescharacteristic, complemented
86#16837745C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837733C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837731C2211yescharacteristic, complemented
98#16837730C2211yescharacteristic, complemented
99#16837729C2211yescharacteristic, complemented
100#16837728C2211yescharacteristic, complemented
101#16837727C2211yescharacteristic, complemented
102#16837726C2211yescharacteristic, complemented
103#16837725C2211yescharacteristic, complemented
104#16837724C2211yescharacteristic, complemented
105#16837723C2211yescharacteristic, complemented
106#16837722C2211yescharacteristic, complemented
107#16837722C2211yescharacteristic, complemented
108#16837721C2211yescharacteristic, complemented
109#16837720C2211yescharacteristic, complemented
110#16837719C2211yescharacteristic, complemented
111#16837719C2211yescharacteristic, complemented
112#16837718C2211yescharacteristic, complemented
113#16837712C2211yescharacteristic, complemented
114#16837711C2211yescharacteristic, complemented
115#16837710C2211yescharacteristic, complemented
116#16837709C2211yescharacteristic, complemented
117#16837708C2211yescharacteristic, complemented
118#16837707C2211yescharacteristic, complemented
119#16837706C2211yescharacteristic, complemented
120#16837705C2211yescharacteristic, complemented
121#16837704C2211yescharacteristic, complemented
122#16837703C2211yescharacteristic, complemented
123#16837702C2211yescharacteristic, complemented
124#16837701C2211yescharacteristic, complemented
125#16837700C2211yescharacteristic, complemented
126#16837699C2211yescharacteristic, complemented
127#16837651C2211yescharacteristic, complemented
128#16837651C2211yescharacteristic, complemented
129#16837650C2211yescharacteristic, complemented
130#16837650C2211yescharacteristic, complemented
131#16837649C2211yescharacteristic, complemented
132#16837649C2211yescharacteristic, complemented
133#16837648C2211yescharacteristic, complemented
134#16837648C2211yescharacteristic, complemented
135#16837647C2211yescharacteristic, complemented
136#16837647C2211yescharacteristic, complemented
137#16837646C2211yescharacteristic, complemented
138#16837646C2211yescharacteristic, complemented
139#16837645C2211yescharacteristic, complemented
140#16837645C2211yescharacteristic, complemented
141#16837493C2211yescharacteristic, complemented
142C4×#11745660C2211yescharacteristic, complemented
143SD16×Dic59C2211yescharacteristic, complemented
144C4×#11745671C2211yescharacteristic, complemented
145#16837489C2211yescharacteristic, complemented
146C4×#11745670C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148#16837481C2211yescharacteristic, complemented
149#16837480C2211yescharacteristic, complemented
150#16837479C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837477C2211yescharacteristic, complemented
155#16837445C2211yescharacteristic, complemented
156#16837445C2211yescharacteristic, complemented
157#16837444C2211yescharacteristic, complemented
158#16837444C2211yescharacteristic, complemented
159#16837443C2211yescharacteristic, complemented
160#16837443C2211yescharacteristic, complemented
161#16837443C2211yescharacteristic, complemented
162#16837443C2211yescharacteristic, complemented
163#16837442C2211yescharacteristic, complemented
164#16837442C2211yescharacteristic, complemented
165#16837441C2211yescharacteristic, complemented
166#16837441C2211yescharacteristic, complemented
167#16837441C2211yescharacteristic, complemented
168#16837441C2211yescharacteristic, complemented
169#107×D59C2211yescharacteristic
170#107×D59C2211yescharacteristic
171#107×D59C2211yescharacteristic
172#107×D59C2211yescharacteristic
173#106×D59C2211yescharacteristic
174#106×D59C2211yescharacteristic
175#106×D59C2211yescharacteristic
176#106×D59C2211yescharacteristic
177#106×D59C2211yescharacteristic
178C4⋊C8×D59C2211yescharacteristic
179#103×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#103×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic
187C4×C8×D59C2211yescharacteristic
188C59×#553C2211yescharacteristic
189C59×#552C2211yescharacteristic, complemented
190C59×#499C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#468C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C59×#428C2211yescharacteristic, complemented
203C2×Q8×D59C2311yescharacteristic
204C2×D4×D59—21no—
205C2×D4×D59—21no—
206C2×D4×D59D411yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210C22×C4×D59—21no—
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C2×#11745660C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745671C2311yescharacteristic
216SD16×D59—24no—
217C2×#11745664C2311yescharacteristic
218C2×#11745664C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C2×#11745659C2311yescharacteristic
222C2×#11745659C2311yescharacteristic
223M16×D59—24no—
224M16×D59—24no—
225C2×C8×D59C2311yescharacteristic
226C2×C8×D59C2311yescharacteristic
227C2×C8×D59C2311yescharacteristic
228C2×C8×D59C2311yescharacteristic
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273722—21no—
235#14273721—21no—
236#14273721—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273719—21no—
244#14273719C2311yescharacteristic
245#14273719C2311yescharacteristic
246#14273718—21no—
247#14273718—21no—
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273708—21no—
273#14273708—21no—
274#14273707C2311yescharacteristic
275#14273707C2311yescharacteristic
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273705—21no—
279#14273705—21no—
280#14273704—21no—
281#14273704—21no—
282#14273703C2311yescharacteristic
283#14273703C2311yescharacteristic
284#14273702—21no—
285#14273702C2311yescharacteristic
286#14273702C2311yescharacteristic
287#14273701—21no—
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273698—21no—
299#14273698C2311yescharacteristic
300#14273698C2311yescharacteristic
301Q8×Dic59C2311yescharacteristic
302C4×Dic118—21no—
303C4×Dic118C2311yescharacteristic
304#14273692—21no—
305#14273692C2311yescharacteristic
306C4×D236—21no—
307C4×D236C2311yescharacteristic
308C4×D236C2311yescharacteristic
309D4×Dic59—21no—
310D4×Dic59D411yescharacteristic
311D4×Dic59C2311yescharacteristic
312#14273689—21no—
313#14273689D411yescharacteristic
314#14273689C2311yescharacteristic
315C4×C22⋊D59—21no—
316C4×C22⋊D59—21no—
317C4×C22⋊D59—21no—
318C4×C22⋊D59C2311yescharacteristic
319C4×C22⋊D59C2311yescharacteristic
320(C22⋊D59)⋊C4—21no—
321(C22⋊D59)⋊C4—21no—
322(C22⋊D59)⋊C4—21no—
323(C22⋊D59)⋊C4D411yescharacteristic
324(C22⋊D59)⋊C4D411yescharacteristic
325#14273686—21no—
326#14273686C2311yescharacteristic
327#14273686C2311yescharacteristic
328#14273685—21no—
329#14273685—21no—
330#14273685C2311yescharacteristic
331#14273685C2311yescharacteristic
332#14273685C2311yescharacteristic
333#14273685C2311yescharacteristic
334#14273684—21no—
335#14273684—21no—
336#14273684—21no—
337#14273684—21no—
338#14273683—21no—
339#14273683—21no—
340#14273683—21no—
341#14273683—21no—
342C2×C4⋊Dic59C2311yescharacteristic
343C2×C4⋊Dic59C2311yescharacteristic
344C2×Dic59⋊C4—21no—
345C2×Dic59⋊C4—21no—
346C4⋊C4×D59—21no—
347C4⋊C4×D59—21no—
348C4⋊C4×D59—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59—21no—
352C4⋊C4×D59—21no—
353C4⋊C4×D59—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59D411yescharacteristic
358C4⋊C4×D59C2311yescharacteristic
359C4⋊C4×D59C2311yescharacteristic
360C4⋊C4×D59C2311yescharacteristic
361C4⋊C4×D59C2311yescharacteristic
362C4⋊C4×D59C2311yescharacteristic
363C4⋊C4×D59C2311yescharacteristic
364C4⋊C4×D59C2311yescharacteristic
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59D411yescharacteristic
376C22⋊C4×D59D411yescharacteristic
377C42×D59—21no—
378C42×D59—21no—
379C42×D59—21no—
380C42×D59C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403#14273658C2311yescharacteristic
404#14273658C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408C4⋊(C59⋊C8)C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C2×M16×C59C2311yescharacteristic
441#126×C59—21no—
442#126×C59—21no—
443#125×C59—21no—
444#125×C59C2311yescharacteristic
445#125×C59C2311yescharacteristic
446#123×C59—21no—
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457#117×C59—21no—
458#117×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59C2×D411yescharacteristic
483C23×D59C2×D411yescharacteristic
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59C2×D411yescharacteristic
500C2×C22⋊D59C2×D411yescharacteristic
501C22×Dic59—21no—
502C22×Dic59—21no—
503C22×Dic59—21no—
504C22×Dic59C2×D411yescharacteristic
505C22×Dic59C2×D411yescharacteristic
506Q8×D59—22no—
507Q8×D59—22no—
508D4×D59—22no—
509D4×D59—22no—
510D4×D59—42no—
511D4×D59—44no—
512D4×D59—82no—
513C2×D236—21no—
514C2×D236—21no—
515C2×D236C2×D411yescharacteristic
516C2×D236C2411yescharacteristic
517C2×C4×D59—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—44no—
535C2×C4×D59—82no—
536C2×C4×D59—82no—
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×C4×D59C2411yescharacteristic
545C2×C4×D59C2411yescharacteristic
546C2×Dic118—21no—
547C2×Dic118C2411yescharacteristic
548SD16×C59—22no—
549M16×C59—22no—
550M16×C59—22no—
551C2×C8×C59C2411yescharacteristic
552C2×C8×C59C2411yescharacteristic
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59C2×D411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C4⋊C4×C59C2411yescharacteristic
567C4⋊C4×C59C2411yescharacteristic
568C4⋊C4×C59C2411yescharacteristic
569C4⋊C4×C59C2411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59C2×D411yescharacteristic
579C22⋊C4×C59C2×D411yescharacteristic
580C42×C59—21no—
581C42×C59—21no—
582C42×C59—21no—
583C42×C59C2411yescharacteristic
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59C2×D411yescharacteristic
592C22⋊Dic59C2×D411yescharacteristic
593#11745671—22no—
594#11745670—22no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611(C2×D59)⋊C4C2×D411yescharacteristic
612(C2×D59)⋊C4C2×D411yescharacteristic
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59—21no—
616C4⋊Dic59—21no—
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59C2×D411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4C2×D411yescharacteristic
654Dic59⋊C4C2×D411yescharacteristic
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59C2×D411yescharacteristic
665C4×Dic59C2×D411yescharacteristic
666C4×Dic59C2411yescharacteristic
667#11745664—22no—
668#11745664—22no—
669C2×C59⋊C8C2411yescharacteristic
670C2×C59⋊C8C2411yescharacteristic
671C2×C59⋊C8C2411yescharacteristic
672C2×C59⋊C8C2411yescharacteristic
673#11745660—22no—
674#11745659—22no—
675#11745659—22no—
676#11745659—22no—
677#11745659—22no—
678C8×D59—22no—
679C8×D59—22no—
680C8×D59—22no—
681C8×D59#4114yes—
682C23×C59—21no—
683C23×C59C22×D411yescharacteristic
684C23×C59C22×D411yescharacteristic
685C22×D59—22no—
686C22×D59—22no—
687C22×D59—22no—
688C22×D59—22no—
689C22×D59—22no—
690C22×D59—22no—
691C22×D59—21no—
692C22×D59—42no—
693C22×D59—42no—
694C22×D59—42no—
695C22×D59C22×D411yescharacteristic
696C22×D59C22×D411yescharacteristic
697C22×D59C22×D411yescharacteristic
698Q8×C59—21no—
699Q8×C59—21no—
700D4×C59—21no—
701D4×C59—21no—
702D4×C59—41no—
703D4×C59—42no—
704D4×C59—81no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—42no—
717C2×C4×C59—81no—
718C2×C4×C59—81no—
719C2×C4×C59C22×D411yescharacteristic
720C2×C4×C59C22×D411yescharacteristic
721C2×C4×C59C22×D411yescharacteristic
722C2×C4×C59C22×D411yescharacteristic
723C2×C4×C59C2511yescharacteristic
724C22⋊D59—41no—
725C22⋊D59—41no—
726C22⋊D59—42no—
727C22⋊D59—42no—
728C22⋊D59—42no—
729C22⋊D59—81no—
730C22⋊D59—81no—
731C2×Dic59—22no—
732C2×Dic59—22no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—42no—
741C2×Dic59—81no—
742C2×Dic59—81no—
743C2×Dic59C22×D411yescharacteristic
744C2×Dic59C22×D411yescharacteristic
745C2×Dic59C22×D411yescharacteristic
746C2×Dic59C22×D411yescharacteristic
747C2×Dic59C22×D411yescharacteristic
748D236—21no—
749D236—21no—
750D236—41no—
751D236—42no—
752D236—81no—
753C4×D59—22no—
754C4×D59—22no—
755C4×D59—22no—
756C4×D59—22no—
757C4×D59—21no—
758C4×D59—21no—
759C4×D59—21no—
760C4×D59—21no—
761C4×D59—22no—
762C4×D59—22no—
763C4×D59—42no—
764C4×D59—42no—
765C4×D59—42no—
766C4×D59—42no—
767C4×D59—42no—
768C4×D59—42no—
769C4×D59—42no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—81no—
773C4×D59—81no—
774C4×D59—81no—
775C4×D59—81no—
776C4×D59C2×#4112yes—
777C4×D592−1+412yes—
778Dic118—21no—
779Dic118—21no—
780Dic118—42no—
781C8×C59—21no—
782C8×C59—21no—
783C8×C59—21no—
784C8×C59C2×#4112yes—
785C59⋊C8—21no—
786C59⋊C8—21no—
787C59⋊C8—21no—
788C59⋊C8C2×#4112yes—
789C2×#3351—591nomaximal, Sylow
790C22×C59—21no—
791C22×C59—21no—
792C22×C59—21no—
793C22×C59—21no—
794C22×C59—21no—
795C22×C59—21no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59C23×D411yescharacteristic
800C2×D59—21no—
801C2×D59—21no—
802C2×D59—21no—
803C2×D59—21no—
804C2×D59—21no—
805C2×D59—21no—
806C2×D59—44no—
807C2×D59—44no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—84no—
812C2×D59#54712yes—
813C2×D59#57512yes—
814C2×D59#57712yes—
815C4×C59—21no—
816C4×C59—21no—
817C4×C59—21no—
818C4×C59—21no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59C22×#4111yescharacteristic
827C4×C59C2×2−1+411yescharacteristic
828Dic59—21no—
829Dic59—21no—
830Dic59—21no—
831Dic59—21no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59#54712yes—
840C2×#553—591no—
841C2×#552—591no—
842#3351—591no—
843#3351—591no—
844#3351—591no—
845#3351—591no—
846#3351—591no—
847#3351—591no—
848#3351—591no—
849#3351—591no—
850#3351—591no—
851#3351—591no—
852#3351—591no—
853#3351—591no—
854#3351—591no—
855#3351—591no—
856#3351—591no—
857#3351D5911yescharacteristic, direct product factor
858C2×#499—591no—
859C2×#481—591no—
860C2×#485—591no—
861C2×#482—591no—
862C2×#483—591no—
863C2×#479—591no—
864C2×#478—591no—
865C2×#468—591no—
866C2×#468—591no—
867C2×C4×SD16—591no—
868C2×#436—591no—
869C2×#428—591no—
870C2×#428—591no—
871C2×C59—41no—
872C2×C59—41no—
873C2×C59—81no—
874C2×C59C2×#54711yescharacteristic
875C2×C59C2×#57511yescharacteristic
876C2×C59C2×#57711yescharacteristic
877D59—41no—
878D59—41no—
879D59—81no—
880D59#335114yesdirect product factor
881C22×SD16—591no—
882C22×M16—591no—
883C22×M16—591no—
884#553—591no—
885#553—591no—
886#553—591no—
887#553—591no—
888#553—591no—
889#553—591no—
890#553—591no—
891#553—1181no—
892#553—1181no—
893#553—1181no—
894#553—1181no—
895#553C2×D5911yescharacteristic
896#552—591no—
897#552—591no—
898#552—591no—
899#552—591no—
900#552—591no—
901#552—591no—
902#552—591no—
903#552—1181no—
904#552—1181no—
905#552—1181no—
906#552—1181no—
907#552C2×D5911yescharacteristic, complemented
908C2×#126—1181no—
909C2×#126—1181no—
910C2×#125—591no—
911C2×#125—591no—
912C2×#125—1181no—
913C2×#123—1181no—
914C2×#123—1181no—
915C2×C22⋊Q8—591no—
916C2×C22⋊Q8—591no—
917C2×#121—591no—
918C2×#121—591no—
919C2×#121—1181no—
920C2×C4×Q8—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—1181no—
924C2×#117—591no—
925C2×#117—591no—
926C2×#117—1181no—
927C22×C4⋊C4—591no—
928C22×C4⋊C4—591no—
929#499—591no—
930#499—591no—
931#499—591no—
932#499—591no—
933#499—591no—
934#499—591no—
935#499—591no—
936#499C2×D5911yescharacteristic, complemented
937#485—591no—
938#485—591no—
939#485—591no—
940#485—591no—
941#485—591no—
942#485—591no—
943#485—591no—
944#485C2×D5911yescharacteristic, complemented
945#483—591no—
946#483—591no—
947#483—591no—
948#483—591no—
949#483—591no—
950#483—591no—
951#483—591no—
952#483C2×D5911yescharacteristic, complemented
953#482—591no—
954#482—591no—
955#482—591no—
956#482—591no—
957#482—591no—
958#482—591no—
959#482—591no—
960#482C2×D5911yescharacteristic, complemented
961#481—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#481—591no—
966#481—591no—
967#481—591no—
968#481C2×D5911yescharacteristic, complemented
969#479—591no—
970#479—591no—
971#479—591no—
972#479—591no—
973#479—591no—
974#479—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#478—591no—
984#478C2×D5911yescharacteristic, complemented
985#468—591no—
986#468—591no—
987#468—591no—
988#468—591no—
989#468—591no—
990#468—591no—
991#468—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#468—591no—
997#468—591no—
998#468—591no—
999#468C2×D5911yescharacteristic, complemented
1000#468C2×D5911yescharacteristic, complemented
1001C4×SD16—591no—
1002C4×SD16—591no—
1003C4×SD16—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16C2×D5911yescharacteristic, complemented
1009#436—591no—
1010#436—591no—
1011#436—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#436—591no—
1016#436C2×D5911yescharacteristic, complemented
1017#428—591no—
1018#428—591no—
1019#428—591no—
1020#428—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#428—591no—
1026#428—591no—
1027#428—591no—
1028#428—591no—
1029#428—591no—
1030#428—591no—
1031#428C2×D5911yescharacteristic, complemented
1032#428C2×D5911yescharacteristic, complemented
1033C2×#107—591no—
1034C2×#107—591no—
1035C2×#107—591no—
1036C2×#107—591no—
1037C2×#106—591no—
1038C2×#106—591no—
1039C2×#106—591no—
1040C2×#106—591no—
1041C2×#106—591no—
1042C2×C4⋊C8—591no—
1043C2×#103—591no—
1044C2×#103—591no—
1045C2×#103—591no—
1046C2×#102—591no—
1047C2×#102—591no—
1048C2×#102—591no—
1049C2×C22⋊C8—591no—
1050C2×C22⋊C8—591no—
1051C2×C4×C8—591no—
1052C59C2×#335111yescharacteristic, complemented, Sylow
1053C22×Q8—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—1181no—
1057C22×D4—1181no—
1058C23×C4—591no—
1059C23×C4—591no—
1060C23×C4—1181no—
1061C23×C4—1181no—
1062C23×C4—1181no—
1063C2×SD16—591no—
1064C2×SD16—591no—
1065C2×SD16—591no—
1066C2×SD16—1184no—
1067C2×SD16C22×D5911yescharacteristic
1068C2×M16—591no—
1069C2×M16—591no—
1070C2×M16—591no—
1071C2×M16—591no—
1072C2×M16—591no—
1073C2×M16—591no—
1074C2×M16—1184no—
1075C2×M16—1184no—
1076C2×M16C22×D5911yescharacteristic
1077C2×M16C22×D5911yescharacteristic
1078C22×C8—591no—
1079C22×C8—591no—
1080C22×C8—591no—
1081C22×C8—591no—
1082#126—21no—
1083#126—21no—
1084#126—1181no—
1085#126—1181no—
1086#126—1181no—
1087#126—1181no—
1088#126—1181no—
1089#126—1181no—
1090#126—1181no—
1091#126—1181no—
1092#126—1181no—
1093#126—1181no—
1094#126—1181no—
1095#126—1181no—
1096#126—1181no—
1097#126—1181no—
1098#125—21no—
1099#125—591no—
1100#125—591no—
1101#125—591no—
1102#125—591no—
1103#125—591no—
1104#125—591no—
1105#125—1181no—
1106#125—1181no—
1107#125—1181no—
1108#125—1181no—
1109#125—1181no—
1110#125—1181no—
1111#125—1181no—
1112#125—1181no—
1113#125—1181no—
1114#125—1181no—
1115#125—1181no—
1116#125C22×D5911yescharacteristic
1117#125C22×D5911yescharacteristic
1118#123—21no—
1119#123—21no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134C22⋊Q8—591no—
1135C22⋊Q8—591no—
1136C22⋊Q8—591no—
1137C22⋊Q8—591no—
1138C22⋊Q8—591no—
1139C22⋊Q8—591no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8C22×D5911yescharacteristic
1145C22⋊Q8C22×D5911yescharacteristic
1146#121—21no—
1147#121—591no—
1148#121—591no—
1149#121—591no—
1150#121—591no—
1151#121—591no—
1152#121—591no—
1153#121—1181no—
1154#121—1181no—
1155#121—1181no—
1156#121—1181no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166C4×Q8—591no—
1167C4×Q8—591no—
1168C4×Q8—591no—
1169C4×Q8—1181no—
1170C4×Q8—1181no—
1171C4×Q8C22×D5911yescharacteristic
1172C4×D4—21no—
1173C4×D4—591no—
1174C4×D4—591no—
1175C4×D4—591no—
1176C4×D4—591no—
1177C4×D4—591no—
1178C4×D4—591no—
1179C4×D4—591no—
1180C4×D4—591no—
1181C4×D4—591no—
1182C4×D4—591no—
1183C4×D4—1181no—
1184C4×D4—1181no—
1185C4×D4—1181no—
1186C4×D4—1181no—
1187C4×D4—1181no—
1188C4×D4—1181no—
1189C4×D4—1181no—
1190C4×D4—1181no—
1191C4×D4—1181no—
1192C4×D4C22×D5911yescharacteristic
1193C4×D4C22×D5911yescharacteristic
1194#117—21no—
1195#117—591no—
1196#117—591no—
1197#117—591no—
1198#117—591no—
1199#117—591no—
1200#117—591no—
1201#117—1181no—
1202#117—1181no—
1203#117—1181no—
1204#117—1181no—
1205#117—1181no—
1206#117—1181no—
1207#117—1181no—
1208#117—1181no—
1209#117—1181no—
1210#117—1181no—
1211#117—1181no—
1212#117C22×D5911yescharacteristic
1213#117C22×D5911yescharacteristic
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—591no—
1227C2×C4⋊C4—1181no—
1228C2×C4⋊C4—1181no—
1229C2×C4⋊C4—1181no—
1230C2×C4⋊C4—1181no—
1231C2×C4⋊C4—1181no—
1232C2×C4⋊C4—1181no—
1233C2×C4⋊C4—1181no—
1234C2×C4⋊C4—1181no—
1235C2×C4⋊C4—1181no—
1236C2×C4⋊C4—1181no—
1237C2×C4⋊C4—1181no—
1238C2×C4⋊C4—1181no—
1239C2×C4⋊C4—1181no—
1240C2×C4⋊C4C22×D5911yescharacteristic
1241C2×C4⋊C4C22×D5911yescharacteristic
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—1181no—
1245C2×C22⋊C4—1181no—
1246C2×C22⋊C4—1181no—
1247C2×C22⋊C4—1181no—
1248C2×C22⋊C4—1181no—
1249C2×C22⋊C4—1181no—
1250C2×C22⋊C4—1181no—
1251C2×C42—591no—
1252C2×C42—1181no—
1253C2×C42—1181no—
1254C2×C42—1181no—
1255#107—591no—
1256#107—591no—
1257#107—591no—
1258#107—591no—
1259#107—591no—
1260#107—591no—
1261#107—591no—
1262#107—591no—
1263#107—591no—
1264#107—591no—
1265#107—591no—
1266#107—591no—
1267#107C22×D5911yescharacteristic
1268#107C22×D5911yescharacteristic
1269#107C22×D5911yescharacteristic
1270#107C22×D5911yescharacteristic
1271#106—591no—
1272#106—591no—
1273#106—591no—
1274#106—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106C22×D5911yescharacteristic
1287#106C22×D5911yescharacteristic
1288#106C22×D5911yescharacteristic
1289#106C22×D5911yescharacteristic
1290#106C22×D5911yescharacteristic
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8C22×D5911yescharacteristic
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103C22×D5911yescharacteristic
1305#103C22×D5911yescharacteristic
1306#103C22×D5911yescharacteristic
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102C22×D5911yescharacteristic
1317#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319C22⋊C8—591no—
1320C22⋊C8—591no—
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327C4×C8—591no—
1328C4×C8—591no—
1329C4×C8—591no—
1330C4×C8C22×D5911yescharacteristic
1331C24—591no—
1332C24—591no—
1333C24—1181no—
1334C2×Q8—591no—
1335C2×Q8—1181no—
1336C2×Q8—1182no—
1337C2×Q8—1182no—
1338C2×Q8C23×D5911yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—591no—
1342C2×D4—591no—
1343C2×D4—591no—
1344C2×D4—591no—
1345C2×D4—1181no—
1346C2×D4—1181no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1181no—
1350C2×D4—1181no—
1351C2×D4—1181no—
1352C2×D4—1181no—
1353C2×D4—1181no—
1354C2×D4—4722no—
1355C2×D4—2362no—
1356C2×D4—2364no—
1357C2×D4D4×D5911yescharacteristic
1358C2×D4C23×D5911yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1181no—
1378C22×C4—1181no—
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—1181no—
1384C22×C4—1181no—
1385C22×C4—1181no—
1386C22×C4—1181no—
1387C22×C4—1181no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—4722no—
1394C22×C4—4722no—
1395C22×C4—2364no—
1396C22×C4C23×D5911yescharacteristic
1397C22×C4C23×D5911yescharacteristic
1398SD16—22no—
1399SD16—1182no—
1400SD16—1182no—
1401SD16—1182no—
1402M16—22no—
1403M16—22no—
1404M16—1182no—
1405M16—1182no—
1406M16—1182no—
1407M16—1182no—
1408M16—1182no—
1409M16—1182no—
1410C2×C8—591no—
1411C2×C8—594no—
1412C2×C8—591no—
1413C2×C8—591no—
1414C2×C8—591no—
1415C2×C8—1182no—
1416C2×C8—1182no—
1417C2×C8—1182no—
1418C2×C8C23×D5911yescharacteristic
1419C2×C8C23×D5911yescharacteristic
1420C2×C8C23×D5911yescharacteristic
1421C2×C8C23×D5911yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—591no—
1432C4⋊C4—591no—
1433C4⋊C4—591no—
1434C4⋊C4—591no—
1435C4⋊C4—591no—
1436C4⋊C4—591no—
1437C4⋊C4—591no—
1438C4⋊C4—591no—
1439C4⋊C4—591no—
1440C4⋊C4—1181no—
1441C4⋊C4—1181no—
1442C4⋊C4—1181no—
1443C4⋊C4—1181no—
1444C4⋊C4—1181no—
1445C4⋊C4—1181no—
1446C4⋊C4—1181no—
1447C4⋊C4—1181no—
1448C4⋊C4—1181no—
1449C4⋊C4—1181no—
1450C4⋊C4—1181no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4D4×D5911yescharacteristic
1474C4⋊C4C23×D5911yescharacteristic
1475C4⋊C4C23×D5911yescharacteristic
1476C4⋊C4C23×D5911yescharacteristic
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—591no—
1488C22⋊C4—591no—
1489C22⋊C4—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—1181no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4D4×D5911yescharacteristic
1515C22⋊C4D4×D5911yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—591no—
1520C42—591no—
1521C42—591no—
1522C42—1181no—
1523C42—1181no—
1524C42—1181no—
1525C42—1181no—
1526C42—1181no—
1527C42—1181no—
1528C42—1181no—
1529C42—1181no—
1530C42—1181no—
1531C42C23×D5911yescharacteristic
1532C23—21no—
1533C23—591no—
1534C23—591no—
1535C23—591no—
1536C23—1182no—
1537C23—1182no—
1538C23—1182no—
1539C23—1182no—
1540C23—1182no—
1541C23—1182no—
1542C23—1181no—
1543C23—2362no—
1544C23—2362no—
1545C23—2362no—
1546C23C2×D4×D5911yescharacteristic
1547C23C2×D4×D5911yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—1181no—
1551Q8—1181no—
1552Q8—2362no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—42no—
1557D4—81no—
1558D4—1181no—
1559D4—1181no—
1560D4—4721no—
1561D4—4721no—
1562D4—4721no—
1563D4—2361no—
1564D4—2362no—
1565D4—2362no—
1566D4—2361no—
1567D4—2361no—
1568D4—2362no—
1569D4—2362no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—591no—
1585C2×C4—592no—
1586C2×C4—592no—
1587C2×C4—591no—
1588C2×C4—591no—
1589C2×C4—591no—
1590C2×C4—591no—
1591C2×C4—1182no—
1592C2×C4—1182no—
1593C2×C4—1182no—
1594C2×C4—1182no—
1595C2×C4—1182no—
1596C2×C4—1182no—
1597C2×C4—1182no—
1598C2×C4—1182no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—4721no—
1611C2×C4—4721no—
1612C2×C4—4721no—
1613C2×C4—4721no—
1614C2×C4—4721no—
1615C2×C4—4721no—
1616C2×C4—2362no—
1617C2×C4—2362no—
1618C2×C4—2362no—
1619C2×C4—2362no—
1620C2×C4—2362no—
1621C2×C4—2362no—
1622C2×C4—2362no—
1623C2×C4—2362no—
1624C2×C4—2362no—
1625C2×C4—2362no—
1626C2×C4C2×D4×D5911yescharacteristic
1627C2×C4C2×D4×D5911yescharacteristic
1628C2×C4C2×D4×D5911yescharacteristic
1629C2×C4C2×D4×D5911yescharacteristic
1630C2×C4C24×D5911yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—592no—
1635C8—1181no—
1636C8—1181no—
1637C8—1181no—
1638C8#41×D5912yes—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—592no—
1649C22—592no—
1650C22—592no—
1651C22—1181no—
1652C22—1181no—
1653C22—1181no—
1654C22—1181no—
1655C22—1181no—
1656C22—1181no—
1657C22—4724no—
1658C22—2364no—
1659C22—2364no—
1660C22—2361no—
1661C22—2361no—
1662C22—2361no—
1663C22C22×D4×D5911yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—592no—
1676C4—1181no—
1677C4—1181no—
1678C4—1181no—
1679C4—1181no—
1680C4—2361no—
1681C4—2361no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4C2×#41×D5911yescharacteristic
1688C42−1+4×D5911yescharacteristic
1689C2—41no—
1690C2—41no—
1691C2—81no—
1692C2—594no—
1693C2—4721no—
1694C2—2361no—
1695C2—2361no—
1696C2#547×D5911yescharacteristic
1697C2#575×D5911yescharacteristic
1698C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3351C2
socleC22×C59C23×D4
prime radical#553×D59C2
hypercenter#3351D59
hypocenterC59C2×#3351
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
2. #552×D59C2semidirect
3. #21436663C2semidirect
4. #21436662C2semidirect
5. #21436661C2semidirect
6. #21436660C2semidirect
7. #21436659C2semidirect
8. #21436658C2semidirect
9. #21436657C2semidirect
10. #21436656C2semidirect
11. #21436655C2semidirect
12. #21436654C2semidirect
13. #21436653C2semidirect
14. #21436652C2semidirect
15. #21436651C2semidirect
16. #21436650C2semidirect
17. #21436649C2semidirect
18. #499×D59C2semidirect
19. #481×D59C2semidirect
20. #485×D59C2semidirect
21. #482×D59C2semidirect
22. #483×D59C2semidirect
23. #479×D59C2semidirect
24. #478×D59C2semidirect
25. #468×D59C2semidirect
26. #468×D59C2semidirect
27. C4×SD16×D59C2semidirect
28. #436×D59C2semidirect
29. #428×D59C2semidirect
30. #428×D59C2semidirect
31. C59×#3351C2semidirect
46. #16838094C22semidirect
47. #16838093C22semidirect
48. #16838092C22semidirect
49. #16838091C22semidirect
50. #16838090C22semidirect
53. #16838087C22semidirect
54. #16838086C22semidirect
78. #16837804C22semidirect
79. #16837803C22semidirect
80. #16837803C22semidirect
81. #16837802C22semidirect
82. #16837802C22semidirect
83. #16837801C22semidirect
84. #16837801C22semidirect
85. #16837746C22semidirect
86. #16837745C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837742C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837734C22semidirect
93. #16837734C22semidirect
94. #16837733C22semidirect
95. #16837732C22semidirect
96. #16837731C22semidirect
97. #16837731C22semidirect
98. #16837730C22semidirect
99. #16837729C22semidirect
100. #16837728C22semidirect
101. #16837727C22semidirect
102. #16837726C22semidirect
103. #16837725C22semidirect
104. #16837724C22semidirect
105. #16837723C22semidirect
106. #16837722C22semidirect
107. #16837722C22semidirect
108. #16837721C22semidirect
109. #16837720C22semidirect
110. #16837719C22semidirect
111. #16837719C22semidirect
112. #16837718C22semidirect
113. #16837712C22semidirect
114. #16837711C22semidirect
115. #16837710C22semidirect
116. #16837709C22semidirect
117. #16837708C22semidirect
118. #16837707C22semidirect
119. #16837706C22semidirect
120. #16837705C22semidirect
121. #16837704C22semidirect
122. #16837703C22semidirect
123. #16837702C22semidirect
124. #16837701C22semidirect
125. #16837700C22semidirect
126. #16837699C22semidirect
127. #16837651C22semidirect
128. #16837651C22semidirect
129. #16837650C22semidirect
130. #16837650C22semidirect
131. #16837649C22semidirect
132. #16837649C22semidirect
133. #16837648C22semidirect
134. #16837648C22semidirect
135. #16837647C22semidirect
136. #16837647C22semidirect
137. #16837646C22semidirect
138. #16837646C22semidirect
139. #16837645C22semidirect
140. #16837645C22semidirect
141. #16837493C22semidirect
142. C4×#11745660C22semidirect
143. SD16×Dic59C22semidirect
144. C4×#11745671C22semidirect
145. #16837489C22semidirect
146. C4×#11745670C22semidirect
147. #16837487C22semidirect
148. #16837481C22semidirect
149. #16837480C22semidirect
150. #16837479C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837477C22semidirect
154. #16837477C22semidirect
155. #16837445C22semidirect
156. #16837445C22semidirect
157. #16837444C22semidirect
158. #16837444C22semidirect
159. #16837443C22semidirect
160. #16837443C22semidirect
161. #16837443C22semidirect
162. #16837443C22semidirect
163. #16837442C22semidirect
164. #16837442C22semidirect
165. #16837441C22semidirect
166. #16837441C22semidirect
167. #16837441C22semidirect
168. #16837441C22semidirect
189. C59×#552C22semidirect
190. C59×#499C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#481C22semidirect
195. C59×#479C22semidirect
196. C59×#478C22semidirect
197. C59×#468C22semidirect
198. C59×#468C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#428C22semidirect
202. C59×#428C22semidirect
857. #3351D59direct (N × H)
880. D59#3351direct (N × H)
907. #552C2×D59semidirect
936. #499C2×D59semidirect
944. #485C2×D59semidirect
952. #483C2×D59semidirect
960. #482C2×D59semidirect
968. #481C2×D59semidirect
976. #479C2×D59semidirect
984. #478C2×D59semidirect
999. #468C2×D59semidirect
1000. #468C2×D59semidirect
1008. C4×SD16C2×D59semidirect
1016. #436C2×D59semidirect
1031. #428C2×D59semidirect
1032. #428C2×D59semidirect
1052. C59C2×#3351semidirect

Maximal subgroups

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

subgroupindex
#553×D592
#552×D592
#214366632
#214366622
#214366612
#214366602
#214366592
#214366582
#214366572
#214366562
#214366552
#214366542
#214366532
#214366522
#214366512
#214366502
#214366492
#499×D592
#481×D592
#485×D592
#482×D592
#483×D592
#479×D592
#478×D592
#468×D592
C4×SD16×D592
#436×D592
#428×D592
C59×#33512
C2×#335159