Finite Group Databasebeta

← #29466476

Subgroups — #29466476

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437800C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436425C211yesmaximal, characteristic, complemented
4#21436416C211yesmaximal, characteristic, complemented
5#21436311C211yesmaximal, characteristic, complemented
6#21436310C211yesmaximal, characteristic, complemented
7#21436243C211yesmaximal, characteristic, complemented
8#21436231C211yesmaximal, characteristic, complemented
9#21436219C211yesmaximal, characteristic, complemented
10#21436218C211yesmaximal, characteristic, complemented
11#21436207C211yesmaximal, characteristic, complemented
12#21436203C211yesmaximal, characteristic, complemented
13#21436064C211yesmaximal, characteristic, complemented
14#21436063C211yesmaximal, characteristic, complemented
15#21436002C211yesmaximal, characteristic, complemented
16#21435921C211yesmaximal, characteristic, complemented
17#21435918C211yesmaximal, characteristic, complemented
18#21434449C211yesmaximal, characteristic, complemented
19#21434082C211yesmaximal, characteristic, complemented
20#481×D59C211yesmaximal, characteristic, complemented
21#21433961C211yesmaximal, characteristic, complemented
22#21433753C211yesmaximal, characteristic, complemented
23#21433712C211yesmaximal, characteristic, complemented
24#21433636C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433313C211yesmaximal, characteristic, complemented
27#21432974C211yesmaximal, characteristic, complemented
28#21432816C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30C2×#16837402C211yesmaximal, characteristic, complemented
31C59×#3301C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C22×#11745659C2211yescharacteristic, complemented
39#16838111—21no—
40#16838109C2211yescharacteristic, complemented
41#16838107C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838095—21no—
44#16838091C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838074C2211yescharacteristic
48#16838071C2211yescharacteristic
49#16838063C2211yescharacteristic
50#16838057C2211yescharacteristic, complemented
51#16838052C2211yescharacteristic, complemented
52#16838050—21no—
53#16838045—21no—
54#16838045C2211yescharacteristic
55#16838043—21no—
56#16838043C2211yescharacteristic
57D4×D236—21no—
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838032C2211yescharacteristic, complemented
62#16837995—21no—
63#16837993—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837981C2211yescharacteristic, complemented
67#16837970—21no—
68#16837970C2211yescharacteristic
69#16837912—21no—
70#16837912C2211yescharacteristic, complemented
71#16837911—21no—
72#16837911—21no—
73#16837911C2211yescharacteristic
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837882C2211yescharacteristic, complemented
78#16837881C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837749C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837741C2211yescharacteristic, complemented
88#16837731C2211yescharacteristic, complemented
89#16837730C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837726C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837687C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837507C2211yescharacteristic, complemented
146#16837506C2211yescharacteristic, complemented
147C4×#11745660C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic, complemented
149#16837489C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837473C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#106×D59C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837406C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic, complemented
164#16837403C2211yescharacteristic, complemented
165#16837402C2211yescharacteristic
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178C2×#14273651C2211yescharacteristic, complemented
179C2×#14273649C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685—21no—
216C2×#11745685C2311yescharacteristic
217C2×#11745687—21no—
218C2×#11745687C2311yescharacteristic
219C22×D236—21no—
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273751—42no—
234#14273748—24no—
235#14273748—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245#14273733—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659—42no—
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253C22×C59⋊C8C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727C2311yescharacteristic
258#14273726—21no—
259#14273726C2311yescharacteristic
260#14273724—21no—
261#14273724C2311yescharacteristic
262#14273723—21no—
263#14273723C2311yescharacteristic
264#14273722—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719—21no—
268#14273718—21no—
269#14273718—21no—
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273716—21no—
274#14273716C2311yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273711—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709D411yescharacteristic
286#14273708—21no—
287#14273707—21no—
288#14273707C2311yescharacteristic
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705D411yescharacteristic
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704D411yescharacteristic
303#14273703—21no—
304#14273703C2311yescharacteristic
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702C2311yescharacteristic
311#14273702C2311yescharacteristic
312#14273701—21no—
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700D411yescharacteristic
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697D411yescharacteristic
342#14273695—21no—
343#14273695—21no—
344#14273695D411yescharacteristic
345Q8×Dic59C2311yescharacteristic
346C4×Dic118—21no—
347C4×Dic118C2311yescharacteristic
348#14273692C2311yescharacteristic
349C4×D236—21no—
350C4×D236—21no—
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59—21no—
356D4×Dic59—21no—
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273660C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—22no—
537#11745689—44no—
538#11745689—41no—
539#11745689—41no—
540#11745689—41no—
541#11745689—44no—
542#11745689#4114yescomplemented
543#11745687—22no—
544#11745687—22no—
545#11745687—82no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—44no—
551D4×D59—44no—
552D4×D59—82no—
553D4×D59—82no—
554D4×D59—82no—
555#11745685—22no—
556#11745685—22no—
557#11745685—44no—
558#11745685—82no—
559C2×D236—21no—
560C2×D236—22no—
561C2×D236—22no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—41no—
573C2×D236—41no—
574C2×D236—44no—
575C2×D236—44no—
576C2×D236C2×D411yescharacteristic
577C2×D236C2×D411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×C4×D59—21no—
582C2×C4×D59—22no—
583C2×C4×D59—22no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—44no—
597C2×C4×D59—82no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606C2×Dic118C2411yescharacteristic
607SD16×C59—22no—
608SD16×C59—41no—
609D8×C59—41no—
610C2×C8×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C42×C59—21no—
637C42×C59—21no—
638C42×C59C2411yescharacteristic
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745672—22no—
648#11745672—41no—
649#11745670—41no—
650#11745669—22no—
651#11745669—41no—
652#11745669—41no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2×D411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700Dic59⋊C4C2×D411yescharacteristic
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713#11745660—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—22no—
729C22×D59—21no—
730C22×D59—22no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—21no—
752Q8×C59—42no—
753Q8×C59C2×#4112yes—
754D4×C59—22no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—42no—
760D4×C59—42no—
761D4×C59—42no—
762D4×C59—81no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—42no—
774C2×C4×C59—42no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C2511yescharacteristic
782C22⋊D59—22no—
783C22⋊D59—22no—
784C22⋊D59—22no—
785C22⋊D59—41no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C2×Dic59—22no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—42no—
803C2×Dic59—81no—
804C2×Dic59—81no—
805C2×Dic59—81no—
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811D236—24no—
812D236—22no—
813D236—21no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—41no—
819D236—42no—
820D236—42no—
821D236—42no—
822D236—42no—
823D236—42no—
824D236—42no—
825D236—81no—
826D236—81no—
827D236—81no—
828D236—81no—
829D236C2×#4112yes—
830C4×D59—22no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—22no—
836C4×D59—24no—
837C4×D59—42no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59C2×#4112yes—
850C4×D59H(5,𝔽2)12yes—
851Dic118—22no—
852Dic118—21no—
853Dic118—21no—
854Dic118—81no—
855Dic118—81no—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61192—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59#57712yes—
877C22×C59C23×D411yescharacteristic
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—22no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—44no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—84no—
897C2×D59—162no—
898C2×D59—162no—
899C2×D59—162no—
900C2×D59#54612yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—22no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59C22×#4111yescharacteristic
912C4×C59C2×H(5,𝔽2)11yescharacteristic
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923#3492—591no—
924#3488—591no—
925#3332—591no—
926#3332—591no—
927#3323—591no—
928#3323—591no—
929#3318—591no—
930#3318—591no—
931#3317—591no—
932#3317—591no—
933#3316—591no—
934#3316—591no—
935#3306—591no—
936#3306—591no—
937#3301—591no—
938#3301D5911yescharacteristic, complemented
939#3295—591no—
940#3295—591no—
941#3136—591no—
942#3099—591no—
943C2×#481—591no—
944#3084—591no—
945#3060—591no—
946#3055—591no—
947#3045—591no—
948#3012—591no—
949#3002—591no—
950#2952—591no—
951#2933—591no—
952#2897—591no—
953C2×#417—591no—
954C2×C59—22no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#54611yescharacteristic
959C2×C59C2×#57711yescharacteristic
960C2×C59#358511yescharacteristic
961D59—22no—
962D59—41no—
963D59—41no—
964D59—42no—
965D59—81no—
966D59—81no—
967C2×H(5,𝔽2)—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×#135—591no—
971C2×#135—591no—
972C2×#131—591no—
973C22×M16—591no—
974#554—591no—
975#554—591no—
976#554—1181no—
977#553—591no—
978#553—1181no—
979#553C2×D5911yescharacteristic, complemented
980#552—591no—
981#552—591no—
982#552—1181no—
983#550—591no—
984#550—591no—
985#548—591no—
986#548C2×D5911yescharacteristic
987#547—591no—
988#547—591no—
989#547—1181no—
990#546—591no—
991#546—591no—
992#546—1181no—
993#546—1181no—
994D42—591no—
995D42—591no—
996D42—1181no—
997D42—1181no—
998#544—591no—
999#539—1181no—
1000#539—1181no—
1001#537—591no—
1002#537—591no—
1003#537—1181no—
1004#535—591no—
1005#535—1181no—
1006#525—591no—
1007#525—591no—
1008#525—1181no—
1009#525—1181no—
1010#525—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—591no—
1014#520—591no—
1015#520—591no—
1016C22×C4⋊C4—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#489—591no—
1021#488—591no—
1022#488C2×D5911yescharacteristic, complemented
1023#486—591no—
1024#486—591no—
1025#485—591no—
1026#485C2×D5911yescharacteristic, complemented
1027#483—591no—
1028#483—591no—
1029#482—591no—
1030#482—591no—
1031#481—591no—
1032#481—591no—
1033#481—591no—
1034#481—591no—
1035#481—591no—
1036#481—591no—
1037#481—591no—
1038#481—591no—
1039#481—591no—
1040#481C2×D5911yescharacteristic, complemented
1041#479—591no—
1042#479C2×D5911yescharacteristic, complemented
1043#478—591no—
1044#478—591no—
1045#476—591no—
1046#476—591no—
1047#475—591no—
1048#475—591no—
1049#470—591no—
1050#470—591no—
1051#469—591no—
1052#469—591no—
1053#469—591no—
1054#469—591no—
1055#468—591no—
1056#468—591no—
1057#466—591no—
1058#466C2×D5911yescharacteristic, complemented
1059#465—591no—
1060#465—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465C2×D5911yescharacteristic, complemented
1065#464—591no—
1066#464—591no—
1067#463—591no—
1068#463C2×D5911yescharacteristic, complemented
1069#460—591no—
1070#460—591no—
1071#459—591no—
1072#459—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#451—591no—
1078#450—591no—
1079#450—591no—
1080#450—591no—
1081#449—591no—
1082#449—591no—
1083#449—591no—
1084#449C2×D5911yescharacteristic, complemented
1085#448C2×D5911yescharacteristic, complemented
1086#447—591no—
1087#447—591no—
1088#447—591no—
1089#442—591no—
1090#442—591no—
1091#441—591no—
1092#441—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×SD16—591no—
1096C4×SD16C2×D5911yescharacteristic, complemented
1097#436—591no—
1098#436—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435—591no—
1103C8×D4—591no—
1104C8×D4C2×D5911yescharacteristic, complemented
1105#428—591no—
1106C2×#106—591no—
1107C2×#106—591no—
1108#424—591no—
1109#418—591no—
1110#418—591no—
1111#418—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417—591no—
1122#417—591no—
1123#416—591no—
1124#416—591no—
1125#416—591no—
1126#416C2×D5911yescharacteristic, complemented
1127C2×#103—591no—
1128C2×#103C2×D5911yescharacteristic, complemented
1129C2×#102—591no—
1130C2×#102—591no—
1131C2×#102—591no—
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135#408—591no—
1136C2×C22⋊C8—591no—
1137#405—591no—
1138C59#6119211yescharacteristic, complemented, Sylow
1139H(5,𝔽2)—1184no—
1140H(5,𝔽2)—2362no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41—1181no—
1152C2×#41—1181no—
1153C2×#41—1184no—
1154C2×#41—2362no—
1155C2×#41C22×D5911yescharacteristic
1156C22×Q8C22×D5911yescharacteristic
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C23×C4—591no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—2362no—
1172#135—1184no—
1173#135—2362no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16C22×D5911yescharacteristic
1181C2×SD16C22×D5911yescharacteristic
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8—591no—
1185C2×D8C22×D5911yescharacteristic
1186#131—2362no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—591no—
1193C2×M16—2362no—
1194C22×C8—591no—
1195C22×C8—591no—
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8C22×D5911yescharacteristic
1199C22×C8C22×D5911yescharacteristic
1200C4⋊Q8—591no—
1201C4⋊Q8—591no—
1202C4⋊Q8—1181no—
1203#127—591no—
1204#127—591no—
1205#127—1181no—
1206#127—1181no—
1207#126—21no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#125—591no—
1212#125—1181no—
1213#125—1181no—
1214#125—1181no—
1215#125—1181no—
1216#125—1181no—
1217#125C22×D5911yescharacteristic
1218#124—21no—
1219#124—591no—
1220#124—1181no—
1221#124C22×D5911yescharacteristic
1222#123—21no—
1223#123—591no—
1224#123—591no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235C22⋊Q8—21no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8C22×D5911yescharacteristic
1255#121—21no—
1256#121—21no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121C22×D5911yescharacteristic
1287#121C22×D5911yescharacteristic
1288#121C22×D5911yescharacteristic
1289#120—591no—
1290#120—591no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×Q8—591no—
1303C4×Q8—1181no—
1304C4×Q8C22×D5911yescharacteristic
1305C4×D4—21no—
1306C4×D4—21no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—1181no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117C22×D5911yescharacteristic
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—591no—
1342C2×C4⋊C4—591no—
1343C2×C4⋊C4—591no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4—1181no—
1351C2×C4⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355#107—591no—
1356#107C22×D5911yescharacteristic
1357#106—591no—
1358#106—591no—
1359#106—591no—
1360#106—591no—
1361#106—591no—
1362#106—591no—
1363#106—591no—
1364#106—591no—
1365#106C22×D5911yescharacteristic
1366#106C22×D5911yescharacteristic
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103C22×D5911yescharacteristic
1380#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97—591no—
1421C4×C8—591no—
1422C4×C8C22×D5911yescharacteristic
1423C24—591no—
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—41no—
1430#41—594no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—4722no—
1442#41—4722no—
1443#41—2364no—
1444#41—2364no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—22no—
1451C2×Q8—41no—
1452C2×Q8—591no—
1453C2×Q8—591no—
1454C2×Q8—1181no—
1455C2×Q8—1181no—
1456C2×Q8C23×D5911yescharacteristic
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1182no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—4722no—
1498C2×D4—4722no—
1499C2×D4—4722no—
1500C2×D4—2361no—
1501C2×D4—2361no—
1502C2×D4—2364no—
1503C2×D4—2364no—
1504C2×D4—2361no—
1505C2×D4—2364no—
1506C2×D4—2364no—
1507C2×D4D4×D5911yescharacteristic
1508C2×D4C23×D5911yescharacteristic
1509C2×D4C23×D5911yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—591no—
1519C22×C4—591no—
1520C22×C4—1181no—
1521C22×C4—1182no—
1522C22×C4—1182no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—4722no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543Q16—1182no—
1544Q16—2361no—
1545SD16—22no—
1546SD16—41no—
1547SD16—1182no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551D8—41no—
1552D8—1182no—
1553D8—2361no—
1554D8—2361no—
1555M16—1182no—
1556M16—1182no—
1557M16—2361no—
1558M16—2361no—
1559M16—2361no—
1560M16—2361no—
1561C2×C8—41no—
1562C2×C8—41no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—591no—
1567C2×C8—1182no—
1568C2×C8—1182no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4D4×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4D4×D5911yescharacteristic
1650C22⋊C4D4×D5911yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—591no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—591no—
1663C23—591no—
1664C23—591no—
1665C23—1182no—
1666C23—1182no—
1667C23—1181no—
1668C23—1181no—
1669C23—1181no—
1670C23—4721no—
1671C23—4721no—
1672C23—4721no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—2361no—
1678C23—2362no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—1182no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—4721no—
1693Q8—4721no—
1694Q8#41×D5912yes—
1695D4—22no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—81no—
1704D4—592no—
1705D4—1182no—
1706D4—1184no—
1707D4—1182no—
1708D4—1182no—
1709D4—1182no—
1710D4—1181no—
1711D4—1181no—
1712D4—1181no—
1713D4—1181no—
1714D4—1181no—
1715D4—4721no—
1716D4—4721no—
1717D4—4721no—
1718D4—4721no—
1719D4—4721no—
1720D4—4721no—
1721D4—4721no—
1722D4—4721no—
1723D4—4721no—
1724D4—2361no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731D4—2362no—
1732D4—2361no—
1733D4—2362no—
1734D4—2362no—
1735D4—2362no—
1736D4—2362no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—591no—
1752C2×C4—592no—
1753C2×C4—592no—
1754C2×C4—591no—
1755C2×C4—591no—
1756C2×C4—591no—
1757C2×C4—591no—
1758C2×C4—1182no—
1759C2×C4—1184no—
1760C2×C4—1182no—
1761C2×C4—1182no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—4721no—
1776C2×C4—4721no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—592no—
1812C22—1181no—
1813C22—1181no—
1814C22—1181no—
1815C22—1182no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—9442no—
1822C22—9442no—
1823C22—9442no—
1824C22—4724no—
1825C22—2364no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22#1683820912yes—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—22no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—592no—
1847C4—1181no—
1848C4—1181no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—81no—
1861C2—81no—
1862C2—1182no—
1863C2—4721no—
1864C2—4721no—
1865C2—2361no—
1866C2—2361no—
1867C2—2362no—
1868C2#546×D5911yescharacteristic
1869C2C2×#1683820911yescharacteristic
1870C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3301C2
socleC22×C59C23×D4
hypercenter#3301D59
hypocenterC59#61192
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #21437800C2semidirect
2. #21437762C2semidirect
3. #21436425C2semidirect
4. #21436416C2semidirect
5. #21436311C2semidirect
6. #21436310C2semidirect
7. #21436243C2semidirect
8. #21436231C2semidirect
9. #21436219C2semidirect
10. #21436218C2semidirect
11. #21436207C2semidirect
12. #21436203C2semidirect
13. #21436064C2semidirect
14. #21436063C2semidirect
15. #21436002C2semidirect
16. #21435921C2semidirect
17. #21435918C2semidirect
18. #21434449C2semidirect
19. #21434082C2semidirect
20. #481×D59C2semidirect
21. #21433961C2semidirect
22. #21433753C2semidirect
23. #21433712C2semidirect
24. #21433636C2semidirect
25. #21433398C2semidirect
26. #21433313C2semidirect
27. #21432974C2semidirect
28. #21432816C2semidirect
29. #21432618C2semidirect
30. C2×#16837402C2semidirect
31. C59×#3301C2semidirect
34. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273733C22semidirect
38. C22×#11745659C22semidirect
40. #16838109C22semidirect
41. #16838107C22semidirect
42. #16838104C22semidirect
44. #16838091C22semidirect
45. #16838090C22semidirect
50. #16838057C22semidirect
51. #16838052C22semidirect
61. #16838032C22semidirect
66. #16837981C22semidirect
70. #16837912C22semidirect
77. #16837882C22semidirect
78. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837768C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837761C22semidirect
84. #16837758C22semidirect
85. #16837749C22semidirect
86. #16837747C22semidirect
87. #16837741C22semidirect
88. #16837731C22semidirect
89. #16837730C22semidirect
90. #16837729C22semidirect
91. #16837726C22semidirect
92. #16837722C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837721C22semidirect
96. #16837721C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837707C22semidirect
102. #16837705C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837691C22semidirect
106. #16837687C22semidirect
107. #16837685C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837653C22semidirect
113. #16837652C22semidirect
114. #16837649C22semidirect
115. #16837647C22semidirect
116. #16837636C22semidirect
117. #16837632C22semidirect
118. #16837631C22semidirect
119. #16837631C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837603C22semidirect
126. #16837601C22semidirect
127. #16837597C22semidirect
128. #16837595C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837564C22semidirect
133. #16837558C22semidirect
134. #16837555C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837546C22semidirect
140. #16837535C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837512C22semidirect
144. #16837511C22semidirect
145. #16837507C22semidirect
146. #16837506C22semidirect
147. C4×#11745660C22semidirect
148. SD16×Dic59C22semidirect
149. #16837489C22semidirect
150. #16837481C22semidirect
151. #16837477C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837473C22semidirect
155. #16837472C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #106×D59C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837406C22semidirect
162. #16837405C22semidirect
163. #16837405C22semidirect
164. #16837403C22semidirect
167. #16837402C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837400C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. C2×#14273651C22semidirect
179. C2×#14273649C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#553C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#481C22semidirect
193. C59×#479C22semidirect
194. C59×#466C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#103×C59C22semidirect
542. #11745689#41semidirect
938. #3301D59semidirect
979. #553C2×D59semidirect
1022. #488C2×D59semidirect
1026. #485C2×D59semidirect
1040. #481C2×D59semidirect
1042. #479C2×D59semidirect
1058. #466C2×D59semidirect
1064. #465C2×D59semidirect
1068. #463C2×D59semidirect
1084. #449C2×D59semidirect
1085. #448C2×D59semidirect
1096. C4×SD16C2×D59semidirect
1104. C8×D4C2×D59semidirect
1126. #416C2×D59semidirect
1128. C2×#103C2×D59semidirect
1138. C59#61192semidirect

Maximal subgroups

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

subgroupindex
#214378002
#214377622
#214364252
#214364162
#214363112
#214363102
#214362432
#214362312
#214362192
#214362182
#214362072
#214362032
#214360642
#214360632
#214360022
#214359212
#214359182
#214344492
#214340822
#481×D592
#214339612
#214337532
#214337122
#214336362
#214333982
#214333132
#214329742
#214328162
#214326182
C2×#168374022
C59×#33012
#6119259