Finite Group Databasebeta

← #29470625

Subgroups — #29470625

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437709C211yesmaximal, characteristic, complemented
2#21437582C211yesmaximal, characteristic, complemented
3#21437113C211yesmaximal, characteristic, complemented
4#21437014C211yesmaximal, characteristic, complemented
5#21436822C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436542C211yesmaximal, characteristic, complemented
8#21436535C211yesmaximal, characteristic, complemented
9#21436440C211yesmaximal, characteristic, complemented
10#21436123C211yesmaximal, characteristic, complemented
11#21436116C211yesmaximal, characteristic, complemented
12#21436093C211yesmaximal, characteristic, complemented
13#21436086C211yesmaximal, characteristic, complemented
14#21435956C211yesmaximal, characteristic, complemented
15#21435904C211yesmaximal, characteristic, complemented
16#21435789C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435588C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434792C211yesmaximal, characteristic, complemented
21#21434243C211yesmaximal, characteristic, complemented
22#21434232C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434214C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433107C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29C2×#16837504C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3180C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273751C2211yescharacteristic
34C22×#11745660C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36#16838129C2211yescharacteristic, complemented
37#16838121C2211yescharacteristic, complemented
38#16838119—21no—
39#16838094C2211yescharacteristic, complemented
40#16838090C2211yescharacteristic, complemented
41#16838089—21no—
42#16838088—21no—
43#16838072C2211yescharacteristic
44#16838067C2211yescharacteristic
45#16838065C2211yescharacteristic, complemented
46#16838060—21no—
47#16838060C2211yescharacteristic, complemented
48#16838058C2211yescharacteristic, complemented
49#16838055C2211yescharacteristic
50#16838052C2211yescharacteristic
51#16838052C2211yescharacteristic
52#16838052C2211yescharacteristic, complemented
53#16838050—21no—
54#16838045—21no—
55#16838041—21no—
56#16838041—21no—
57#16838037C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic
60#16837956C2211yescharacteristic, complemented
61#16837955—21no—
62#16837949C2211yescharacteristic
63#16837949C2211yescharacteristic
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837930—21no—
67#16837911—21no—
68#16837911—21no—
69#16837909—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×Dic118C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×C4×D236C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837773C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837751C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic, complemented
86#16837739C2211yescharacteristic, complemented
87#16837736C2211yescharacteristic, complemented
88#16837734C2211yescharacteristic, complemented
89#16837730C2211yescharacteristic, complemented
90#16837728C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837717C2211yescharacteristic, complemented
93#16837714C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837713C2211yescharacteristic, complemented
96#16837713C2211yescharacteristic, complemented
97#16837713C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic
99#16837700C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic
101#16837699C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837694C2211yescharacteristic, complemented
105#16837694C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837616C2211yescharacteristic
119#16837615C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic
121#16837614C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic
123#16837605C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic
131#16837554C2211yescharacteristic
132#16837552C2211yescharacteristic
133#16837551C2211yescharacteristic
134#16837548C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic, complemented
137#16837540C2211yescharacteristic, complemented
138#16837540C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837530C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic
145#16837512C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic
147#16837504C2211yescharacteristic
148#16837504C2211yescharacteristic
149#16837504C2211yescharacteristic
150#16837504C2211yescharacteristic
151#16837504C2211yescharacteristic, complemented
152#16837504C2211yescharacteristic, complemented
153#16837504C2211yescharacteristic, complemented
154#16837504C2211yescharacteristic, complemented
155#16837503C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic
161#16837500C2211yescharacteristic
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165#16837489C2211yescharacteristic
166D8×Dic59C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic
168#16837475C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174#16837459C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178C2×#14273661C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic
181#16837400C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185#102×D59C2211yescharacteristic
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic
189C59×#529C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685D411yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687C2311yescharacteristic
212#41×D59—48no—
213C22×Dic118C2311yescharacteristic
214C2×Q8×D59—21no—
215C2×Q8×D59C2311yescharacteristic
216C22×D236C2311yescharacteristic
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225#14273751—24no—
226C2×#11745660—24no—
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237SD16×D59—24no—
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273726—21no—
245#14273726—21no—
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273718—21no—
258#14273718—21no—
259#14273718C2311yescharacteristic
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273714C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273711—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273708—21no—
277#14273708—21no—
278#14273708—21no—
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273703—21no—
293#14273703—21no—
294#14273703C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273698—21no—
306#14273698—21no—
307#14273698C2311yescharacteristic
308#14273698C2311yescharacteristic
309#14273698C2311yescharacteristic
310#14273697—21no—
311#14273697—21no—
312#14273695—21no—
313#14273695—21no—
314#14273695—21no—
315#14273695—21no—
316Q8×Dic59C2311yescharacteristic
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118—21no—
320C4×Dic118—21no—
321C4×Dic118D411yescharacteristic
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327#14273692—21no—
328#14273692—21no—
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236—21no—
333C4×D236D411yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339D4×Dic59—21no—
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59D411yescharacteristic
352C4×C22⋊D59D411yescharacteristic
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686D411yescharacteristic
362#14273685—21no—
363#14273685C2311yescharacteristic
364#14273684—21no—
365#14273684D411yescharacteristic
366#14273684D411yescharacteristic
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C2×C4⋊Dic59C2311yescharacteristic
372C2×Dic59⋊C4—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C42×D59—21no—
383C42×D59C2311yescharacteristic
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#127×C59C2311yescharacteristic
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#124×C59—21no—
451#124×C59C2311yescharacteristic
452#123×C59—21no—
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59C2×D411yescharacteristic
513C2×C22⋊D59C2×D411yescharacteristic
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521#11745689—44no—
522Q8×D59—22no—
523Q8×D59—41no—
524Q8×D59—44no—
525#11745687—22no—
526#11745687—41no—
527#11745687—44no—
528#11745687—44no—
529#11745687—44no—
530#11745687—44no—
531D4×D59—22no—
532D4×D59—22no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—44no—
536D4×D59—44no—
537D4×D59—44no—
538#11745685—24no—
539#11745685—44no—
540#11745685—44no—
541C2×D236—22no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—41no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—44no—
560C2×C4×D59—44no—
561C2×C4×D59—44no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×Dic118—22no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—41no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—41no—
580D8×C59—22no—
581D8×C59—41no—
582C2×C8×C59—22no—
583C2×C8×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C42×C59—21no—
607C42×C59C2×D411yescharacteristic
608C42×C59C2×D411yescharacteristic
609C42×C59C2411yescharacteristic
610C42×C59C2411yescharacteristic
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745671—22no—
622#11745671—41no—
623#11745670—22no—
624#11745670—22no—
625#11745670—41no—
626#11745670—41no—
627#11745669—22no—
628#11745669—41no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695#11745660—22no—
696#11745660—22no—
697#11745660—22no—
698#11745660#4114yescomplemented
699#11745659—22no—
700#11745659—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—42no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—42no—
730D4×C59—42no—
731D4×C59—42no—
732D4×C59—42no—
733D4×C59—81no—
734C2×C4×C59—22no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—41no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—22no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59AGL(1,ℤ/8)14yescomplemented
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—22no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236C2×#4112yes—
791C4×D59—22no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—22no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809Dic118—21no—
810Dic118—22no—
811Dic118—21no—
812Dic118—21no—
813Dic118—42no—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118C2×#4112yescomplemented
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59C2×#4112yescomplemented
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59C2×AGL(1,ℤ/8)12yes—
840C22×C59C23×D411yescharacteristic
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—21no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—84no—
853C2×D59—84no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59C22×#4111yescharacteristic
867C4×C59#58511yescharacteristic
868Dic59—21no—
869Dic59—21no—
870Dic59—22no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
898#3182—591no—
899#3180—591no—
900#3180D5911yescharacteristic, complemented
901#3115—591no—
902#3114—591no—
903#3114—591no—
904#3112—591no—
905#3112—591no—
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440—591no—
911C2×C59—22no—
912C2×C59—81no—
913C2×C59—81no—
914C2×C59—81no—
915C2×C59D4×#4111yescharacteristic
916C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
917C2×C59#358611yescharacteristic
918D59—22no—
919D59—41no—
920D59—42no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16—591no—
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—591no—
938#548—1181no—
939#547—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#547—1181no—
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42—591no—
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532C2×D5911yescharacteristic
955#529—591no—
956#529—1181no—
957#529—1181no—
958#529C2×D5911yescharacteristic, complemented
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8—591no—
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4—591no—
970#501—591no—
971#501C2×D5911yescharacteristic, complemented
972#500—591no—
973#496—591no—
974#496C2×D5911yescharacteristic, complemented
975#492—591no—
976#490—591no—
977#490C2×D5911yescharacteristic, complemented
978#489—591no—
979#489C2×D5911yescharacteristic, complemented
980#487—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#483—591no—
985#483—591no—
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477—591no—
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#466—591no—
1011#466—591no—
1012#466C2×D5911yescharacteristic, complemented
1013#466C2×D5911yescharacteristic, complemented
1014#465—591no—
1015#465—591no—
1016#465C2×D5911yescharacteristic, complemented
1017#465C2×D5911yescharacteristic, complemented
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460—591no—
1028#460—591no—
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450—591no—
1034#449—591no—
1035#449—591no—
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448—591no—
1040#447—591no—
1041#447—591no—
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442C2×D5911yescharacteristic, complemented
1047#442C2×D5911yescharacteristic, complemented
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic, complemented
1067#440C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432—591no—
1081#428—591no—
1082C2×#107—591no—
1083C2×#107—591no—
1084#418—591no—
1085#417—591no—
1086C2×#103—591no—
1087C2×#103—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97C2×D5911yescharacteristic, complemented
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—21no—
1095C2×#41—591no—
1096C2×#41—591no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—591no—
1106C22×Q8—591no—
1107C22×Q8—1181no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C22×D4—1181no—
1114C23×C4—1181no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—1184no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—1184no—
1129C2×SD16—1184no—
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8C22×D5911yescharacteristic
1135C2×D8C22×D5911yescharacteristic
1136C2×M16—591no—
1137C2×M16—591no—
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8C22×D5911yescharacteristic
1141C22×C8C22×D5911yescharacteristic
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—1181no—
1147C4⋊Q8—1181no—
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127C22×D5911yescharacteristic
1152#126—21no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125C22×D5911yescharacteristic
1165#124—21no—
1166#124—591no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#123—21no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—591no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—1181no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8C22×D5911yescharacteristic
1201#121—21no—
1202#121—591no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—1181no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#121C22×D5911yescharacteristic
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—591no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8—1181no—
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4C22×D5911yescharacteristic
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—21no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—591no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—591no—
1292C2×C4⋊C4—1181no—
1293C2×C4⋊C4—1181no—
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—591no—
1298C2×C42—591no—
1299C2×C42—1181no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42C22×D5911yescharacteristic
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106C22×D5911yescharacteristic
1318#106C22×D5911yescharacteristic
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97C22×D5911yescharacteristic
1368#97C22×D5911yescharacteristic
1369#97C22×D5911yescharacteristic
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—1181no—
1374C24—1181no—
1375C24—1181no—
1376#41—44no—
1377#41—1184no—
1378#41—1182no—
1379#41—2364no—
1380#41—2364no—
1381#41—2361no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2364no—
1387C2×Q8—21no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—591no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—1182no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8—2364no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—1182no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1182no—
1422C2×D4—1182no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2364no—
1432C2×D4—2364no—
1433C2×D4—2364no—
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—2364no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4D4×D5911yescharacteristic
1467C22×C4D4×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—41no—
1471SD16—594no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—1182no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16—2361no—
1481D8—22no—
1482D8—41no—
1483D8—1182no—
1484D8—2361no—
1485M16—1182no—
1486M16—2361no—
1487C2×C8—22no—
1488C2×C8—41no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—1182no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C42—21no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42D4×D5911yescharacteristic
1591C42D4×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—591no—
1598C23—591no—
1599C23—1181no—
1600C23—1181no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—2362no—
1605C23—2362no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23—2362no—
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—592no—
1615Q8—1182no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8—2362no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—42no—
1634D4—81no—
1635D4—594no—
1636D4—592no—
1637D4—1182no—
1638D4—1182no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—4721no—
1643D4—4721no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—1182no—
1674C2×C4—1182no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—2361no—
1686C2×C4—2361no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4C2×D4×D5911yescharacteristic
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1181no—
1714C8—1181no—
1715C8—1181no—
1716C8—1181no—
1717C8#41×D5912yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—592no—
1730C22—1181no—
1731C22—1181no—
1732C22—1181no—
1733C22—1181no—
1734C22—1182no—
1735C22—1181no—
1736C22—4724no—
1737C22—4724no—
1738C22—4724no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—592no—
1757C4—1181no—
1758C4—1181no—
1759C4—1181no—
1760C4—1182no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C2×#41×D5911yescharacteristic
1769C4#1683823811yescharacteristic
1770C2—22no—
1771C2—81no—
1772C2—81no—
1773C2—81no—
1774C2—1182no—
1775C2—4721no—
1776C2—2361no—
1777C2—2362no—
1778C2#2143758211yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3180C2
socleC22×C59C23×D4
hypercenter#3180D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #21437709C2semidirect
2. #21437582C2semidirect
3. #21437113C2semidirect
4. #21437014C2semidirect
5. #21436822C2semidirect
6. #21436811C2semidirect
7. #21436542C2semidirect
8. #21436535C2semidirect
9. #21436440C2semidirect
10. #21436123C2semidirect
11. #21436116C2semidirect
12. #21436093C2semidirect
13. #21436086C2semidirect
14. #21435956C2semidirect
15. #21435904C2semidirect
16. #21435789C2semidirect
17. #21435590C2semidirect
18. #21435588C2semidirect
19. #21434811C2semidirect
20. #21434792C2semidirect
21. #21434243C2semidirect
22. #21434232C2semidirect
23. #21434230C2semidirect
24. #21434216C2semidirect
25. #21434214C2semidirect
26. #21434193C2semidirect
27. #21433107C2semidirect
28. #21432907C2semidirect
29. C2×#16837504C2semidirect
30. #440×D59C2semidirect
31. C59×#3180C2semidirect
36. #16838129C22semidirect
37. #16838121C22semidirect
39. #16838094C22semidirect
40. #16838090C22semidirect
45. #16838065C22semidirect
47. #16838060C22semidirect
48. #16838058C22semidirect
52. #16838052C22semidirect
60. #16837956C22semidirect
64. #16837934C22semidirect
72. C4×#11745687C22semidirect
73. C2×C4×Dic118C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837809C22semidirect
79. #16837806C22semidirect
80. #16837790C22semidirect
81. #16837773C22semidirect
82. #16837765C22semidirect
83. #16837760C22semidirect
84. #16837751C22semidirect
85. #16837747C22semidirect
86. #16837739C22semidirect
87. #16837736C22semidirect
88. #16837734C22semidirect
89. #16837730C22semidirect
90. #16837728C22semidirect
91. #16837724C22semidirect
92. #16837717C22semidirect
93. #16837714C22semidirect
94. #16837714C22semidirect
95. #16837713C22semidirect
96. #16837713C22semidirect
97. #16837713C22semidirect
99. #16837700C22semidirect
101. #16837699C22semidirect
102. #16837696C22semidirect
103. #16837695C22semidirect
104. #16837694C22semidirect
105. #16837694C22semidirect
106. #16837686C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837632C22semidirect
117. #16837630C22semidirect
119. #16837615C22semidirect
121. #16837614C22semidirect
123. #16837605C22semidirect
124. #16837601C22semidirect
125. #16837601C22semidirect
126. #16837600C22semidirect
127. #16837599C22semidirect
128. #16837599C22semidirect
129. #16837595C22semidirect
134. #16837548C22semidirect
135. #16837544C22semidirect
136. #16837542C22semidirect
137. #16837540C22semidirect
138. #16837540C22semidirect
139. #16837539C22semidirect
142. #16837530C22semidirect
143. #16837530C22semidirect
145. #16837512C22semidirect
151. #16837504C22semidirect
152. #16837504C22semidirect
153. #16837504C22semidirect
154. #16837504C22semidirect
155. #16837503C22semidirect
156. #16837502C22semidirect
157. #16837502C22semidirect
158. #16837502C22semidirect
159. #16837502C22semidirect
162. #16837500C22semidirect
163. #16837499C22semidirect
164. #16837493C22semidirect
166. D8×Dic59C22semidirect
168. #16837475C22semidirect
169. #16837475C22semidirect
170. #16837473C22semidirect
171. #16837473C22semidirect
172. C8×C22⋊D59C22semidirect
173. C8×C22⋊D59C22semidirect
174. #16837459C22semidirect
175. #16837457C22semidirect
176. #16837457C22semidirect
177. #16837441C22semidirect
178. C2×#14273661C22semidirect
179. #107×D59C22semidirect
181. #16837400C22semidirect
182. C2×#14273652C22semidirect
183. #103×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
189. C59×#529C22semidirect
190. C59×#501C22semidirect
191. C59×#496C22semidirect
192. C59×#490C22semidirect
193. C59×#489C22semidirect
194. C59×#466C22semidirect
195. C59×#466C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C2×#97×C59C22semidirect
698. #11745660#41semidirect
763. C22⋊D59AGL(1,ℤ/8)semidirect
818. Dic118C2×#41semidirect
822. C8×C59C2×#41semidirect
900. #3180D59semidirect
958. #529C2×D59semidirect
971. #501C2×D59semidirect
974. #496C2×D59semidirect
977. #490C2×D59semidirect
979. #489C2×D59semidirect
1012. #466C2×D59semidirect
1013. #466C2×D59semidirect
1016. #465C2×D59semidirect
1017. #465C2×D59semidirect
1046. #442C2×D59semidirect
1047. #442C2×D59semidirect
1066. #440C2×D59semidirect
1067. #440C2×D59semidirect
1092. C2×#97C2×D59semidirect
1093. C59#61452semidirect
1717. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377092
#214375822
#214371132
#214370142
#214368222
#214368112
#214365422
#214365352
#214364402
#214361232
#214361162
#214360932
#214360862
#214359562
#214359042
#214357892
#214355902
#214355882
#214348112
#214347922
#214342432
#214342322
#214342302
#214342162
#214342142
#214341932
#214331072
#214329072
C2×#168375042
#440×D592
C59×#31802
#6145259