Finite Group Databasebeta

← #29484111

Subgroups — #29484111

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438610C211yesmaximal, characteristic, complemented
2#21438061C211yesmaximal, characteristic, complemented
3#21437154C211yesmaximal, characteristic, complemented
4#21437144C211yesmaximal, characteristic, complemented
5#21436845C211yesmaximal, characteristic, complemented
6#21436842C211yesmaximal, characteristic, complemented
7#21436370C211yesmaximal, characteristic, complemented
8#21436366C211yesmaximal, characteristic, complemented
9#21436181C211yesmaximal, characteristic, complemented
10#21436172C211yesmaximal, characteristic, complemented
11#21436117C211yesmaximal, characteristic, complemented
12#21436110C211yesmaximal, characteristic, complemented
13#21435690C211yesmaximal, characteristic, complemented
14#21435649C211yesmaximal, characteristic, complemented
15#21435647C211yesmaximal, characteristic, complemented
16#21435615C211yesmaximal, characteristic, complemented
17#21435614C211yesmaximal, characteristic, complemented
18#21435523C211yesmaximal, characteristic, complemented
19#21435518C211yesmaximal, characteristic, complemented
20#21435478C211yesmaximal, characteristic, complemented
21#21435164C211yesmaximal, characteristic, complemented
22#21435161C211yesmaximal, characteristic, complemented
23#21435096C211yesmaximal, characteristic, complemented
24#21434354C211yesmaximal, characteristic, complemented
25#21434351C211yesmaximal, characteristic, complemented
26#21434240C211yesmaximal, characteristic, complemented
27#21433639C211yesmaximal, characteristic, complemented
28#21433630C211yesmaximal, characteristic, complemented
29#21433588C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3272C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273747C2211yescharacteristic, complemented
35C2×#14273746C2211yescharacteristic, complemented
36#16838147—21no—
37#16838145—21no—
38#16838138C2211yescharacteristic
39#16838135C2211yescharacteristic
40#16838127C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838110C2211yescharacteristic, complemented
43#16838095—21no—
44#16838092C2211yescharacteristic, complemented
45#16838089—21no—
46#16838089—21no—
47#16838087—21no—
48#16838086C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic
50#16838058C2211yescharacteristic
51#16838051C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838039—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16838019C2211yescharacteristic
59#16838017C2211yescharacteristic
60#16838013C2211yescharacteristic, complemented
61#16838012C2211yescharacteristic, complemented
62#16837997—21no—
63#16837996—21no—
64#16837987—21no—
65#16837987—21no—
66#16837984—21no—
67#16837969C2211yescharacteristic
68#16837965C2211yescharacteristic
69#16837961—21no—
70#16837954C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic
72#16837932C2211yescharacteristic
73#16837929—21no—
74C2×#14273717—21no—
75C2×#14273714C2211yescharacteristic
76#16837885C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic, complemented
78#41×Dic59C2211yescharacteristic, complemented
79#16837794C2211yescharacteristic, complemented
80#16837793C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic
84#16837766C2211yescharacteristic
85#16837765C2211yescharacteristic
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic
95#16837713C2211yescharacteristic
96#16837710C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837660C2211yescharacteristic, complemented
107#16837659C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic
112#16837642C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic
115#16837628C2211yescharacteristic
116#16837625C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837615C2211yescharacteristic, complemented
132#16837611C2211yescharacteristic, complemented
133#16837609C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837600C2211yescharacteristic
139#16837600C2211yescharacteristic, complemented
140#16837600C2211yescharacteristic, complemented
141#16837599C2211yescharacteristic
142#16837595C2211yescharacteristic
143#16837595C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic, complemented
148#16837561C2211yescharacteristic, complemented
149#16837561C2211yescharacteristic, complemented
150#16837560C2211yescharacteristic, complemented
151#16837557C2211yescharacteristic, complemented
152#16837553C2211yescharacteristic
153#16837553C2211yescharacteristic, complemented
154#16837551C2211yescharacteristic, complemented
155#16837551C2211yescharacteristic, complemented
156#16837547C2211yescharacteristic, complemented
157#16837544C2211yescharacteristic
158#16837532C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168C4×Dic236C2211yescharacteristic, complemented
169#16837494C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837461C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic
184#16837404C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186C2×#14273648C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#492C2211yescharacteristic
193C59×#468C2211yescharacteristic
194C59×#468C2211yescharacteristic, complemented
195C59×#461C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic
200C59×#449C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210#14273757—42no—
211#14273751—42no—
212#14273747—42no—
213#14273746—42no—
214C2×Dic236C2311yescharacteristic
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273722—21no—
240#14273722—21no—
241#14273722D411yescharacteristic
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720D411yescharacteristic
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273717D411yescharacteristic
263#14273715C2311yescharacteristic
264#14273714—21no—
265#14273714—21no—
266#14273714—21no—
267#14273714—21no—
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273711D411yescharacteristic
280#14273710—21no—
281#14273710—21no—
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273708—21no—
294#14273708D411yescharacteristic
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273705—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699D411yescharacteristic
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698C2311yescharacteristic
327#14273696—21no—
328#14273696—21no—
329#14273696—21no—
330#14273696—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335Q8×Dic59C2311yescharacteristic
336Q8×Dic59C2311yescharacteristic
337Q8×Dic59C2311yescharacteristic
338Q8×Dic59C2311yescharacteristic
339C4×Dic118C2311yescharacteristic
340C4×Dic118C2311yescharacteristic
341C4×Dic118C2311yescharacteristic
342#14273692—21no—
343#14273692—21no—
344#14273692C2311yescharacteristic
345#14273692C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686—21no—
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic
370#14273685—21no—
371#14273684C2311yescharacteristic
372#14273683—21no—
373#14273683—21no—
374#14273683—21no—
375C2×C4⋊Dic59—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59C2311yescharacteristic
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C2×C22⋊Dic59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445AGL(1,ℤ/8)×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C2×M16×C59C2311yescharacteristic
457C4⋊Q8×C59C2311yescharacteristic
458#127×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C4⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—82no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—82no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745687—22no—
542#11745687—41no—
543#11745687—41no—
544#11745687—41no—
545#11745687—82no—
546D4×D59—41no—
547D4×D59—41no—
548#11745685—41no—
549#11745685—41no—
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—41no—
559C2×Dic118—41no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564SD16×C59—41no—
565SD16×C59—41no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570D8×C59—22no—
571D8×C59—22no—
572D8×C59—22no—
573M16×C59—41no—
574M16×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C42×C59C2411yescharacteristic
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619#11745672—41no—
620#11745672—41no—
621#11745672—41no—
622#11745672—41no—
623#11745671—41no—
624#11745671—41no—
625#11745670—22no—
626#11745670—22no—
627#11745670—41no—
628#11745670—41no—
629#11745670—41no—
630#11745669—22no—
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)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656Dic59⋊C4—21no—
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⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702Dic236—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—41no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59H(5,𝔽2)12yes—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—42no—
753C2×C4×C59—42no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—41no—
762C22⋊D59—41no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—41no—
781C2×Dic59—41no—
782C2×Dic59—42no—
783C2×Dic59—42no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798D236—21no—
799D236—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—41no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62089—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—22no—
829C22×C59—21no—
830C22×C59—21no—
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×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—162no—
843C22×C59—162no—
844C22×C59C23×D411yescharacteristic
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59C2×H(5,𝔽2)11yescharacteristic
861C4×C59#58511yescharacteristic
862Dic59—21no—
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370—591no—
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314—591no—
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272D5911yescharacteristic, complemented
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222—591no—
899#3215—591no—
900#3124—591no—
901#3124—591no—
902#3115—591no—
903#3045—591no—
904#3045—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—42no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59—81no—
913C2×C59#348811yescharacteristic
914C2×C59#358511yescharacteristic
915C2×C59#358611yescharacteristic
916D59—41no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
921C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
922C2×#135—591no—
923C2×#135—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928#557—591no—
929#554—591no—
930#554—591no—
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547C2×D5911yescharacteristic, complemented
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42C2×D5911yescharacteristic
948#542—591no—
949#542—591no—
950#541—591no—
951#541—591no—
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#492—591no—
974#492C2×D5911yescharacteristic
975#490—591no—
976#490—591no—
977#489—591no—
978#489—591no—
979#488—591no—
980#488—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#480—591no—
986#480—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#478—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#470—591no—
998#470—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468C2×D5911yescharacteristic
1004#468C2×D5911yescharacteristic, complemented
1005#467—591no—
1006#467—591no—
1007#465—591no—
1008#465—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461C2×D5911yescharacteristic, complemented
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#459C2×D5911yescharacteristic
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450C2×D5911yescharacteristic
1052#450C2×D5911yescharacteristic, complemented
1053#449—591no—
1054#449—591no—
1055#449C2×D5911yescharacteristic
1056#449C2×D5911yescharacteristic, complemented
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×D8—591no—
1070C4×D8C2×D5911yescharacteristic, complemented
1071#436—591no—
1072#436C2×D5911yescharacteristic, complemented
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#417—591no—
1086#417—591no—
1087C2×#102—591no—
1088C2×#102—591no—
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41C22×D5911yescharacteristic
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×D4—21no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4C22×D5911yescharacteristic
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103AGL(1,ℤ/8)—42no—
1104AGL(1,ℤ/8)—42no—
1105AGL(1,ℤ/8)—2362no—
1106#135—2362no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16C22×D5911yescharacteristic
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8C22×D5911yescharacteristic
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16C22×D5911yescharacteristic
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127—591no—
1145#127C22×D5911yescharacteristic
1146#126—591no—
1147#126—591no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—591no—
1157#125—591no—
1158#125—591no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#123—21no—
1187#123—21no—
1188#123—591no—
1189#123—591no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
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#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—21no—
1372C24—21no—
1373C24—1181no—
1374#41—22no—
1375#41—22no—
1376#41—41no—
1377#41—41no—
1378#41—1182no—
1379#41—4722no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—82no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—1181no—
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—1181no—
1422C2×D4—4722no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4D4×D5911yescharacteristic
1426C2×D4C23×D5911yescharacteristic
1427C2×D4C23×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451Q16—2361no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1182no—
1464SD16—1182no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—22no—
1472D8—22no—
1473D8—22no—
1474D8—1182no—
1475M16—41no—
1476M16—41no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
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—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—591no—
1604C23—1181no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23C2×D4×D5911yescharacteristic
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—4721no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—2361no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—42no—
1633D4—42no—
1634D4—42no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—1181no—
1641D4—1181no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377212yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—1181no—
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—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—4721no—
1693C2×C4—2361no—
1694C2×C4—2361no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—162no—
1729C22—162no—
1730C22—1181no—
1731C22—1181no—
1732C22—1181no—
1733C22—9442no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—1181no—
1747C4—1181no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377211yescharacteristic
1761C4#1683823711yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—4721no—
1769C2—2361no—
1770C2#2143775611yescharacteristic
1771C2#2143887211yescharacteristic
1772C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3272C2
socleC22×C59C23×D4
hypercenter#3272D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3272

Complements

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

NH ≅ G/Ntype
1. #21438610C2semidirect
2. #21438061C2semidirect
3. #21437154C2semidirect
4. #21437144C2semidirect
5. #21436845C2semidirect
6. #21436842C2semidirect
7. #21436370C2semidirect
8. #21436366C2semidirect
9. #21436181C2semidirect
10. #21436172C2semidirect
11. #21436117C2semidirect
12. #21436110C2semidirect
13. #21435690C2semidirect
14. #21435649C2semidirect
15. #21435647C2semidirect
16. #21435615C2semidirect
17. #21435614C2semidirect
18. #21435523C2semidirect
19. #21435518C2semidirect
20. #21435478C2semidirect
21. #21435164C2semidirect
22. #21435161C2semidirect
23. #21435096C2semidirect
24. #21434354C2semidirect
25. #21434351C2semidirect
26. #21434240C2semidirect
27. #21433639C2semidirect
28. #21433630C2semidirect
29. #21433588C2semidirect
30. #21433260C2semidirect
31. C59×#3272C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273747C22semidirect
35. C2×#14273746C22semidirect
40. #16838127C22semidirect
41. #16838111C22semidirect
42. #16838110C22semidirect
44. #16838092C22semidirect
48. #16838086C22semidirect
51. #16838051C22semidirect
52. #16838051C22semidirect
60. #16838013C22semidirect
61. #16838012C22semidirect
70. #16837954C22semidirect
76. #16837885C22semidirect
77. #16837881C22semidirect
78. #41×Dic59C22semidirect
79. #16837794C22semidirect
80. #16837793C22semidirect
81. #16837793C22semidirect
82. #16837793C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837757C22semidirect
89. #16837755C22semidirect
90. #16837739C22semidirect
91. #16837738C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
96. #16837710C22semidirect
97. #16837708C22semidirect
98. #16837704C22semidirect
99. #16837702C22semidirect
100. #16837696C22semidirect
101. #16837695C22semidirect
102. #16837685C22semidirect
103. #16837681C22semidirect
104. #16837680C22semidirect
105. #16837680C22semidirect
106. #16837660C22semidirect
107. #16837659C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
112. #16837642C22semidirect
113. #16837641C22semidirect
116. #16837625C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837622C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837622C22semidirect
126. #16837617C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837615C22semidirect
132. #16837611C22semidirect
133. #16837609C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
139. #16837600C22semidirect
140. #16837600C22semidirect
143. #16837595C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837564C22semidirect
147. #16837562C22semidirect
148. #16837561C22semidirect
149. #16837561C22semidirect
150. #16837560C22semidirect
151. #16837557C22semidirect
153. #16837553C22semidirect
154. #16837551C22semidirect
155. #16837551C22semidirect
156. #16837547C22semidirect
158. #16837532C22semidirect
159. #16837531C22semidirect
160. #16837514C22semidirect
161. #16837511C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
167. #16837499C22semidirect
168. C4×Dic236C22semidirect
169. #16837494C22semidirect
170. D8×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837476C22semidirect
173. #16837474C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837461C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
182. #16837412C22semidirect
184. #16837404C22semidirect
185. #16837400C22semidirect
186. C2×#14273648C22semidirect
187. #102×D59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#547C22semidirect
194. C59×#468C22semidirect
195. C59×#461C22semidirect
198. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#436C22semidirect
889. #3272D59semidirect
921. C2×AGL(1,ℤ/8)C2×D59semidirect
941. #547C2×D59semidirect
1004. #468C2×D59semidirect
1030. #461C2×D59semidirect
1052. #450C2×D59semidirect
1056. #449C2×D59semidirect
1070. C4×D8C2×D59semidirect
1072. #436C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386102
#214380612
#214371542
#214371442
#214368452
#214368422
#214363702
#214363662
#214361812
#214361722
#214361172
#214361102
#214356902
#214356492
#214356472
#214356152
#214356142
#214355232
#214355182
#214354782
#214351642
#214351612
#214350962
#214343542
#214343512
#214342402
#214336392
#214336302
#214335882
#214332602
C59×#32722
#6208959