Finite Group Databasebeta

← #29465809

Subgroups — #29465809

Order 15104.

2124 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D59C211yesmaximal, characteristic, complemented
2#21437580C211yesmaximal, characteristic
3#21436371C211yesmaximal, characteristic, complemented
4#21436363C211yesmaximal, characteristic, complemented
5#21436317C211yesmaximal, characteristic, complemented
6#21436309C211yesmaximal, characteristic, complemented
7#21436228C211yesmaximal, characteristic, complemented
8#21436220C211yesmaximal, characteristic, complemented
9#21436196C211yesmaximal, characteristic, complemented
10#21436188C211yesmaximal, characteristic, complemented
11#21436153C211yesmaximal, characteristic, complemented
12#21436145C211yesmaximal, characteristic, complemented
13#21436121C211yesmaximal, characteristic, complemented
14#21436113C211yesmaximal, characteristic, complemented
15#21435985C211yesmaximal, characteristic, complemented
16#21435977C211yesmaximal, characteristic, complemented
17#21435931C211yesmaximal, characteristic, complemented
18#21434493C211yesmaximal, characteristic, complemented
19#21434024C211yesmaximal, characteristic, complemented
20#21434020C211yesmaximal, characteristic, complemented
21#21433913C211yesmaximal, characteristic, complemented
22#21433723C211yesmaximal, characteristic, complemented
23#21433719C211yesmaximal, characteristic, complemented
24#21433566C211yesmaximal, characteristic, complemented
25#21433353C211yesmaximal, characteristic, complemented
26#21433351C211yesmaximal, characteristic, complemented
27C4×#14273756C211yesmaximal, characteristic, complemented
28D4×#11745659C211yesmaximal, characteristic, complemented
29#21432611C211yesmaximal, characteristic, complemented
30C2×#16837400C211yesmaximal, characteristic, complemented
31C59×#3296C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic
36C2×#14273756C2211yescharacteristic, complemented
37C22×#11745659C2211yescharacteristic, complemented
38C22×#11745659C2211yescharacteristic, complemented
39#16838094C2211yescharacteristic
40#16838093C2211yescharacteristic, complemented
41#16838092C2211yescharacteristic, complemented
42#16838091C2211yescharacteristic, complemented
43#16838090C2211yescharacteristic, complemented
44#16838089—21no—
45#16838088—21no—
46#16838087C2211yescharacteristic
47#16838086C2211yescharacteristic, complemented
48#16838085—21no—
49#16838084—21no—
50#16838070C2211yescharacteristic
51#16838065C2211yescharacteristic
52#16838061C2211yescharacteristic
53#16838060C2211yescharacteristic
54#16838051C2211yescharacteristic
55#16838050—21no—
56#16838047C2211yescharacteristic
57#16838042—21no—
58#16838041—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16837951C2211yescharacteristic
62#16837947—21no—
63#126×D59—21no—
64#125×D59—21no—
65#125×D59C2211yescharacteristic, complemented
66#16837915C2211yescharacteristic
67#16837912C2211yescharacteristic
68#16837910—21no—
69#16837908—21no—
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic, complemented
72C22⋊Q8×D59C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×(C22⋊D59)⋊C4—21no—
76C4×D4×D59C2211yescharacteristic
77#117×D59—21no—
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837708C2211yescharacteristic, complemented
104#16837706C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837700C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837645C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837641C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837611C2211yescharacteristic, complemented
126#16837610C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837560C2211yescharacteristic, complemented
137#16837559C2211yescharacteristic, complemented
138#16837557C2211yescharacteristic, complemented
139#16837556C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837508C2211yescharacteristic, complemented
144#16837506C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×Dic236C2211yescharacteristic, complemented
148C4×#11745672C2211yescharacteristic, complemented
149C4×#11745670C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837473C2211yescharacteristic
153#16837473C2211yescharacteristic, complemented
154#16837470C2211yescharacteristic
155#16837470C2211yescharacteristic, complemented
156D4×C59⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837400C2211yescharacteristic
170#16837400C2211yescharacteristic
171#16837400C2211yescharacteristic
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837400C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837399C2211yescharacteristic, complemented
180#16837398C2211yescharacteristic, complemented
181#16837396C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—24no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—42no—
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—24no—
216#41×D59—42no—
217C22×Dic118C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59D411yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C23×Dic59—21no—
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273759—42no—
231#14273756—24no—
232#14273756—42no—
233C2×Dic236C2311yescharacteristic
234C2×Dic236C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745671C2311yescharacteristic
242C2×#11745659—42no—
243C2×#11745659—42no—
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252C22×C59⋊C8C2311yescharacteristic
253C22×C59⋊C8C2311yescharacteristic
254#14273726—21no—
255#14273725C2311yescharacteristic
256#14273723—21no—
257#14273723C2311yescharacteristic
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273721—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273719—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718—21no—
269#14273718C2311yescharacteristic
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273717—21no—
277#14273715C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273711—21no—
284#14273711—21no—
285#14273710—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698C2311yescharacteristic
321#14273697—21no—
322#14273697—21no—
323#14273696—21no—
324#14273695—21no—
325#14273695—21no—
326Q8×Dic59C2311yescharacteristic
327C4×Dic118—21no—
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330#14273692—21no—
331#14273692C2311yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236C2311yescharacteristic
334D4×Dic59—21no—
335D4×Dic59D411yescharacteristic
336D4×Dic59C2311yescharacteristic
337#14273689—21no—
338#14273689D411yescharacteristic
339C4×C22⋊D59—21no—
340C4×C22⋊D59C2311yescharacteristic
341C4×C22⋊D59C2311yescharacteristic
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4D411yescharacteristic
352(C22⋊D59)⋊C4D411yescharacteristic
353#14273686—21no—
354#14273686C2311yescharacteristic
355#14273685—21no—
356#14273685—21no—
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367C2×C4⋊Dic59C2311yescharacteristic
368C2×Dic59⋊C4—21no—
369C2×Dic59⋊C4—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59—21no—
377C4⋊C4×D59D411yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59D411yescharacteristic
388C22⋊C4×D59D411yescharacteristic
389C2×C4×Dic59—21no—
390C42×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59—21no—
453#125×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
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#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
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—44no—
519C2×C22⋊D59—44no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—44no—
530C22×Dic59C2×D411yescharacteristic
531C22×Dic59C2×D411yescharacteristic
532#11745689—22no—
533#11745689—22no—
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—41no—
538#11745687—22no—
539#11745687—22no—
540#11745687—22no—
541#11745687—22no—
542#11745687—22no—
543#11745687—41no—
544#11745687—41no—
545#11745687—44no—
546#11745687—44no—
547#11745687—44no—
548#11745687#4114yes—
549D4×D59—22no—
550D4×D59—41no—
551D4×D59—42no—
552D4×D59—44no—
553#11745685—22no—
554#11745685—41no—
555#11745685—44no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—22no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—44no—
574C2×C4×D59—44no—
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2×D411yescharacteristic
578C2×C4×D59C2×D411yescharacteristic
579C2×C4×D59C2×D411yescharacteristic
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2411yescharacteristic
582C2×C4×D59C2411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—22no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—41no—
589C2×Dic118C2411yescharacteristic
590C2×Dic118C2411yescharacteristic
591C2×Dic118C2411yescharacteristic
592Q16×C59—41no—
593SD16×C59—22no—
594SD16×C59—41no—
595C2×C8×C59—41no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59C2×D411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59C2×D411yescharacteristic
622C22⋊C4×C59C2×D411yescharacteristic
623C42×C59—21no—
624C42×C59—21no—
625C42×C59C2411yescharacteristic
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59C2×D411yescharacteristic
633C22⋊Dic59C2×D411yescharacteristic
634#11745672—22no—
635#11745672—41no—
636#11745672—41no—
637#11745671—41no—
638#11745670—22no—
639#11745670—41no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
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⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704C2×C59⋊C8—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—22no—
711Dic236—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—22no—
716#11745659—22no—
717#11745659—41no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—42no—
724C23×C59—42no—
725C23×C59—81no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—22no—
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—21no—
732C22×D59—41no—
733C22×D59—41no—
734C22×D59—41no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—81no—
738C22×D59C22×D411yescharacteristic
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745D4×C59—22no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—42no—
750D4×C59—42no—
751D4×C59—81no—
752D4×C59C2×#4112yes—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—42no—
764C2×C4×C59—42no—
765C2×C4×C59—81no—
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C2511yescharacteristic
771C22⋊D59—22no—
772C22⋊D59—24no—
773C22⋊D59—41no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—81no—
783C2×Dic59—21no—
784C2×Dic59—22no—
785C2×Dic59—22no—
786C2×Dic59—24no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—42no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804D236—21no—
805D236—21no—
806D236—41no—
807D236—42no—
808D236—81no—
809C4×D59—22no—
810C4×D59—22no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—22no—
816C4×D59—22no—
817C4×D59—41no—
818C4×D59—41no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59C2×#4112yes—
829C4×D59H(5,𝔽2)12yes—
830Dic118—21no—
831Dic118—21no—
832Dic118—21no—
833Dic118—21no—
834Dic118—21no—
835Dic118—42no—
836Dic118—42no—
837Dic118—42no—
838Dic118C2×#4112yes—
839C8×C59—21no—
840C8×C59—21no—
841C8×C59—21no—
842C8×C59—21no—
843C59⋊C8—21no—
844C59⋊C8—21no—
845C59⋊C8—21no—
846C59⋊C8—21no—
847#61163—591nomaximal, Sylow
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—22no—
852C22×C59—21no—
853C22×C59—21no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—84no—
860C22×C59#57512yes—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—44no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—82no—
875C2×D59—84no—
876C2×D59#54612yes—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C22×#4111yescharacteristic
888C4×C59C2×H(5,𝔽2)11yescharacteristic
889Dic59—21no—
890Dic59—22no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59#54612yes—
901C2×#552—591no—
902D4×#41—591no—
903#3327—591no—
904#3327—591no—
905#3323—591no—
906#3323—591no—
907#3317—591no—
908#3317—591no—
909#3315—591no—
910#3315—591no—
911#3312—591no—
912#3312—591no—
913#3310—591no—
914#3310—591no—
915#3300—591no—
916#3300—591no—
917#3296—591no—
918#3296D5911yescharacteristic, complemented
919#3142—591no—
920#3093—591no—
921#3092—591no—
922#3080—591no—
923#3056—591no—
924#3056—591no—
925#3037—591no—
926#3007—591no—
927#3007—591no—
928C4×#137—591no—
929D4×M16—591no—
930#2896—591no—
931C2×#417—591no—
932C2×C59—22no—
933C2×C59—41no—
934C2×C59—42no—
935C2×C59—81no—
936C2×C59C2×#54611yescharacteristic
937C2×C59C2×#57511yescharacteristic
938C2×C59#358611yescharacteristic
939D59—22no—
940D59—41no—
941D59—41no—
942D59—81no—
943C22×#41—591no—
944C22×#41—591no—
945C2×#137—591no—
946C2×#137—591no—
947C2×#137—591no—
948C22×M16—591no—
949C22×M16—591no—
950#552—591no—
951#552—591no—
952#552—591no—
953#552—591no—
954#552—591no—
955#552—591no—
956#552—591no—
957#552—1181no—
958#552—1181no—
959#552—1181no—
960#552—1181no—
961#552C2×D5911yescharacteristic, complemented
962#550—591no—
963D4×Q8—591no—
964#548—591no—
965#548—591no—
966#547—591no—
967#547—1181no—
968#546—591no—
969#546—1181no—
970#546—1181no—
971#546C2×D5911yescharacteristic
972D42—591no—
973D42—1181no—
974#532—591no—
975#532—1181no—
976C2×#126—1181no—
977C2×#125—591no—
978C2×#125—1181no—
979#525—591no—
980#525—591no—
981#525—1181no—
982#525—1181no—
983C2×#123—1181no—
984C2×C22⋊Q8—591no—
985C2×C22⋊Q8—591no—
986C4×#41—591no—
987C2×C4×Q8—591no—
988C2×C4×D4—591no—
989C2×C4×D4—1181no—
990C2×#117—591no—
991C2×#117—1181no—
992C22×C4⋊C4—591no—
993#491—591no—
994#491—591no—
995#490—591no—
996#490—591no—
997#488—591no—
998#488—591no—
999#488—591no—
1000#488C2×D5911yescharacteristic, complemented
1001#485—591no—
1002#485—591no—
1003#485—591no—
1004#485—591no—
1005#484—591no—
1006#484—591no—
1007#483—591no—
1008#483C2×D5911yescharacteristic, complemented
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#482C2×D5911yescharacteristic, complemented
1013#481—591no—
1014#481—591no—
1015#480—591no—
1016#480—591no—
1017#479—591no—
1018#479—591no—
1019#479—591no—
1020#479—591no—
1021#478—591no—
1022#478—591no—
1023#478—591no—
1024#478C2×D5911yescharacteristic, complemented
1025#470—591no—
1026#470—591no—
1027#470—591no—
1028#470—591no—
1029#468—591no—
1030#468—591no—
1031#468—591no—
1032#468—591no—
1033#467—591no—
1034#467—591no—
1035#467—591no—
1036#467C2×D5911yescharacteristic, complemented
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#465C2×D5911yescharacteristic, complemented
1041#464—591no—
1042#464—591no—
1043#464—591no—
1044#464C2×D5911yescharacteristic, complemented
1045#462—591no—
1046#462—591no—
1047#460—591no—
1048#460—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#452—591no—
1053#452—591no—
1054#452—591no—
1055#452—591no—
1056#452C2×D5911yescharacteristic, complemented
1057#451—591no—
1058#451—591no—
1059#451—591no—
1060#451—591no—
1061#450—591no—
1062#450—591no—
1063#450—591no—
1064#450C2×D5911yescharacteristic, complemented
1065#441—591no—
1066#441—591no—
1067#440—591no—
1068#440—591no—
1069C4×Q16—591no—
1070C4×Q16—591no—
1071C4×SD16—591no—
1072C4×SD16C2×D5911yescharacteristic, complemented
1073#436—591no—
1074#436—591no—
1075#435—591no—
1076#435—591no—
1077#435—591no—
1078#435—591no—
1079C8×D4—591no—
1080C8×D4C2×D5911yescharacteristic, complemented
1081#428—591no—
1082#428—591no—
1083#428—591no—
1084#423—591no—
1085#419—591no—
1086#419—591no—
1087#419—591no—
1088#418—591no—
1089#418—591no—
1090#417—591no—
1091#417—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#417—591no—
1096#417—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416C2×D5911yescharacteristic, complemented
1107C2×#103—591no—
1108C2×#103—591no—
1109C2×#102—591no—
1110C2×#102C2×D5911yescharacteristic, complemented
1111#407—591no—
1112#407—591no—
1113C4×M16—591no—
1114C59#6116311yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—1181no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1184no—
1126C2×#41—1184no—
1127C2×#41—2362no—
1128C2×#41—2362no—
1129C2×#41C22×D5911yescharacteristic
1130C22×Q8—591no—
1131C22×Q8—591no—
1132C22×Q8—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4C22×D5911yescharacteristic
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144#137—1184no—
1145#137—2362no—
1146#137—2362no—
1147C2×Q16—591no—
1148C2×Q16—591no—
1149C2×Q16—591no—
1150C2×Q16—591no—
1151C2×Q16—591no—
1152C2×Q16C22×D5911yescharacteristic
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16C22×D5911yescharacteristic
1158C2×SD16C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C2×M16—591no—
1165C2×M16—591no—
1166C2×M16—591no—
1167C2×M16—2362no—
1168C2×M16—2362no—
1169C22×C8—591no—
1170C22×C8—591no—
1171C22×C8C22×D5911yescharacteristic
1172C22×C8C22×D5911yescharacteristic
1173C4⋊Q8—591no—
1174C4⋊Q8—1181no—
1175#127—591no—
1176#127—1181no—
1177#126—21no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—21no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#125—1181no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#125C22×D5911yescharacteristic
1199#124—591no—
1200#124—1181no—
1201#124—1181no—
1202#124C22×D5911yescharacteristic
1203#123—21no—
1204#123—21no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8C22×D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236C22⋊Q8C22×D5911yescharacteristic
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#120—21no—
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287#117—21no—
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117C22×D5911yescharacteristic
1303C2×C4⋊C4—591no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—591no—
1307C2×C4⋊C4—591no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C4⋊C4—1181no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4—1181no—
1317C2×C4⋊C4—1181no—
1318C2×C4⋊C4—1181no—
1319C2×C4⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4—21no—
1321C2×C22⋊C4—591no—
1322C2×C22⋊C4—591no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C42—591no—
1328C2×C42—1181no—
1329C2×C42—1181no—
1330C2×C42—1181no—
1331#107—591no—
1332#107—591no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106C22×D5911yescharacteristic
1342#106C22×D5911yescharacteristic
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8C22×D5911yescharacteristic
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103C22×D5911yescharacteristic
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
1368#103C22×D5911yescharacteristic
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384#102C22×D5911yescharacteristic
1385#102C22×D5911yescharacteristic
1386#102C22×D5911yescharacteristic
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390C22⋊C8—591no—
1391C22⋊C8—591no—
1392C22⋊C8—591no—
1393C22⋊C8C22×D5911yescharacteristic
1394C22⋊C8C22×D5911yescharacteristic
1395#97—591no—
1396#97—591no—
1397C4×C8—591no—
1398C4×C8C22×D5911yescharacteristic
1399C24—21no—
1400C24—591no—
1401C24—591no—
1402C24—1181no—
1403#41—22no—
1404#41—41no—
1405#41—594no—
1406#41—1182no—
1407#41—1182no—
1408#41—1182no—
1409#41—1182no—
1410#41—1182no—
1411#41—1182no—
1412#41—1182no—
1413#41—1182no—
1414#41—2361no—
1415#41—2364no—
1416#41—2364no—
1417#41—2364no—
1418#41—2361no—
1419#41—2361no—
1420#41—2364no—
1421C2×Q8—591no—
1422C2×Q8—591no—
1423C2×Q8—591no—
1424C2×Q8—1181no—
1425C2×Q8—1181no—
1426C2×Q8—1182no—
1427C2×Q8—1182no—
1428C2×Q8—1182no—
1429C2×Q8—1181no—
1430C2×Q8—1182no—
1431C2×Q8—2361no—
1432C2×Q8—2361no—
1433C2×Q8C23×D5911yescharacteristic
1434C2×Q8C23×D5911yescharacteristic
1435C2×D4—22no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—41no—
1440C2×D4—591no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—591no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1182no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—2361no—
1458C2×D4—2362no—
1459C2×D4—2364no—
1460C2×D4—2364no—
1461C2×D4—2364no—
1462C2×D4D4×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—1182no—
1480C22×C4—1182no—
1481C22×C4—1182no—
1482C22×C4—1182no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—2364no—
1500C22×C4—2364no—
1501C22×C4—2364no—
1502C22×C4C23×D5911yescharacteristic
1503C22×C4C23×D5911yescharacteristic
1504Q16—41no—
1505Q16—1182no—
1506Q16—1182no—
1507Q16—2361no—
1508Q16—2361no—
1509Q16—2361no—
1510SD16—22no—
1511SD16—41no—
1512SD16—1182no—
1513SD16—2361no—
1514SD16—2361no—
1515SD16—2361no—
1516M16—1182no—
1517M16—1182no—
1518M16—1182no—
1519M16—1182no—
1520M16—2361no—
1521M16—2361no—
1522M16—2361no—
1523M16—2361no—
1524C2×C8—41no—
1525C2×C8—41no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—2361no—
1531C2×C8—2361no—
1532C2×C8C23×D5911yescharacteristic
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—591no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4D4×D5911yescharacteristic
1579C4⋊C4C23×D5911yescharacteristic
1580C4⋊C4C23×D5911yescharacteristic
1581C4⋊C4C23×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4D4×D5911yescharacteristic
1617C22⋊C4D4×D5911yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—591no—
1621C42—591no—
1622C42—591no—
1623C42—1181no—
1624C42—1181no—
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42—1181no—
1631C42—1181no—
1632C42C23×D5911yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—42no—
1636C23—42no—
1637C23—81no—
1638C23—591no—
1639C23—591no—
1640C23—591no—
1641C23—1182no—
1642C23—1182no—
1643C23—1182no—
1644C23—1181no—
1645C23—4721no—
1646C23—2361no—
1647C23—2361no—
1648C23—2361no—
1649C23—2362no—
1650C23—2362no—
1651C23C2×D4×D5911yescharacteristic
1652C23C2×D4×D5911yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—592no—
1658Q8—1181no—
1659Q8—1181no—
1660Q8—1181no—
1661Q8—1181no—
1662Q8—1181no—
1663Q8—2362no—
1664Q8—2362no—
1665Q8—2362no—
1666D4—22no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—42no—
1671D4—42no—
1672D4—81no—
1673D4—1184no—
1674D4—1182no—
1675D4—1181no—
1676D4—1181no—
1677D4—4721no—
1678D4—4721no—
1679D4—2361no—
1680D4—2362no—
1681D4—2361no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4#41×D5912yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—81no—
1704C2×C4—591no—
1705C2×C4—592no—
1706C2×C4—592no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—1182no—
1712C2×C4—1182no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1182no—
1716C2×C4—1182no—
1717C2×C4—1184no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—2361no—
1730C2×C4—2361no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C24×D5911yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—84no—
1771C22—592no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—1181no—
1778C22—1181no—
1779C22—1181no—
1780C22—4722no—
1781C22—4724no—
1782C22—2364no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22#1683819912yes—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—592no—
1799C4—1181no—
1800C4—1181no—
1801C4—1182no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4—2361no—
1809C4—2361no—
1810C4C2×#41×D5911yescharacteristic
1811C4H(5,𝔽2)×D5911yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—1182no—
1817C2—4721no—
1818C2—2361no—
1819C2—2361no—
1820C2#546×D5911yescharacteristic
1821C2C2×#1683819911yescharacteristic
1822C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3296C2
socleC22×C59C23×D4
prime radical#21437580C2
hypercenter#3296D59
hypocenterC59#61163
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #552×D59C2semidirect
3. #21436371C2semidirect
4. #21436363C2semidirect
5. #21436317C2semidirect
6. #21436309C2semidirect
7. #21436228C2semidirect
8. #21436220C2semidirect
9. #21436196C2semidirect
10. #21436188C2semidirect
11. #21436153C2semidirect
12. #21436145C2semidirect
13. #21436121C2semidirect
14. #21436113C2semidirect
15. #21435985C2semidirect
16. #21435977C2semidirect
17. #21435931C2semidirect
18. #21434493C2semidirect
19. #21434024C2semidirect
20. #21434020C2semidirect
21. #21433913C2semidirect
22. #21433723C2semidirect
23. #21433719C2semidirect
24. #21433566C2semidirect
25. #21433353C2semidirect
26. #21433351C2semidirect
27. C4×#14273756C2semidirect
28. D4×#11745659C2semidirect
29. #21432611C2semidirect
30. C2×#16837400C2semidirect
31. C59×#3296C2semidirect
34. C2×#14273759C22semidirect
36. C2×#14273756C22semidirect
37. C22×#11745659C22semidirect
38. C22×#11745659C22semidirect
40. #16838093C22semidirect
41. #16838092C22semidirect
42. #16838091C22semidirect
43. #16838090C22semidirect
47. #16838086C22semidirect
65. #125×D59C22semidirect
71. C22⋊Q8×D59C22semidirect
72. C22⋊Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837769C22semidirect
81. #16837769C22semidirect
82. #16837765C22semidirect
83. #16837765C22semidirect
84. #16837759C22semidirect
85. #16837757C22semidirect
86. #16837756C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837730C22semidirect
94. #16837725C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837712C22semidirect
102. #16837710C22semidirect
103. #16837708C22semidirect
104. #16837706C22semidirect
105. #16837704C22semidirect
106. #16837702C22semidirect
107. #16837700C22semidirect
108. #16837661C22semidirect
109. #16837659C22semidirect
110. #16837659C22semidirect
111. #16837657C22semidirect
112. #16837651C22semidirect
113. #16837649C22semidirect
114. #16837647C22semidirect
115. #16837645C22semidirect
116. #16837643C22semidirect
117. #16837641C22semidirect
118. #16837641C22semidirect
119. #16837633C22semidirect
120. #16837631C22semidirect
121. #16837629C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837621C22semidirect
125. #16837611C22semidirect
126. #16837610C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837562C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
136. #16837560C22semidirect
137. #16837559C22semidirect
138. #16837557C22semidirect
139. #16837556C22semidirect
140. #16837554C22semidirect
141. #16837553C22semidirect
142. #16837551C22semidirect
143. #16837508C22semidirect
144. #16837506C22semidirect
145. #16837503C22semidirect
146. #16837499C22semidirect
147. C4×Dic236C22semidirect
148. C4×#11745672C22semidirect
149. C4×#11745670C22semidirect
150. #16837481C22semidirect
151. #16837479C22semidirect
153. #16837473C22semidirect
155. #16837470C22semidirect
156. D4×C59⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837402C22semidirect
167. #16837402C22semidirect
168. #16837402C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837400C22semidirect
177. #16837400C22semidirect
178. #16837400C22semidirect
179. #16837399C22semidirect
180. #16837398C22semidirect
181. #16837396C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273650C22semidirect
184. C2×#14273648C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. C4×#11745659C22semidirect
188. C59×#552C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#478C22semidirect
194. C59×#467C22semidirect
195. C59×#465C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#102×C59C22semidirect
918. #3296D59semidirect
961. #552C2×D59semidirect
1000. #488C2×D59semidirect
1008. #483C2×D59semidirect
1012. #482C2×D59semidirect
1024. #478C2×D59semidirect
1036. #467C2×D59semidirect
1040. #465C2×D59semidirect
1044. #464C2×D59semidirect
1056. #452C2×D59semidirect
1064. #450C2×D59semidirect
1072. C4×SD16C2×D59semidirect
1080. C8×D4C2×D59semidirect
1106. #416C2×D59semidirect
1110. C2×#102C2×D59semidirect
1114. C59#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D592
#214375802
#214363712
#214363632
#214363172
#214363092
#214362282
#214362202
#214361962
#214361882
#214361532
#214361452
#214361212
#214361132
#214359852
#214359772
#214359312
#214344932
#214340242
#214340202
#214339132
#214337232
#214337192
#214335662
#214333532
#214333512
C4×#142737562
D4×#117456592
#214326112
C2×#168374002
C59×#32962
#6116359