Finite Group Databasebeta

← #29474485

Subgroups — #29474485

Order 15104.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438332C211yesmaximal, characteristic, complemented
2#21437756C211yesmaximal, characteristic, complemented
3#21436294C211yesmaximal, characteristic, complemented
4#21436293C211yesmaximal, characteristic, complemented
5#21436233C211yesmaximal, characteristic, complemented
6#21436101C211yesmaximal, characteristic, complemented
7#21436100C211yesmaximal, characteristic, complemented
8#21435996C211yesmaximal, characteristic, complemented
9#21435992C211yesmaximal, characteristic, complemented
10D4×#11745669C211yesmaximal, characteristic, complemented
11#21435766C211yesmaximal, characteristic, complemented
12#21435719C211yesmaximal, characteristic, complemented
13#21435713C211yesmaximal, characteristic, complemented
14#21435596C211yesmaximal, characteristic, complemented
15#21435588C211yesmaximal, characteristic, complemented
16#21435578C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21435147C211yesmaximal, characteristic, complemented
19#21435145C211yesmaximal, characteristic, complemented
20#21434946C211yesmaximal, characteristic, complemented
21#21434943C211yesmaximal, characteristic, complemented
22#21434895C211yesmaximal, characteristic, complemented
23#21434843C211yesmaximal, characteristic, complemented
24#21434300C211yesmaximal, characteristic, complemented
25#21434299C211yesmaximal, characteristic, complemented
26#21433365C211yesmaximal, characteristic, complemented
27#21433359C211yesmaximal, characteristic, complemented
28#21433343C211yesmaximal, characteristic, complemented
29C2×#16837548C211yesmaximal, characteristic, complemented
30#21433145C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C22×#11745687C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C22×#11745660C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic, complemented
40C22×#11745669C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838143—21no—
43#16838142—21no—
44#16838105C2211yescharacteristic, complemented
45#16838100C2211yescharacteristic, complemented
46#16838096C2211yescharacteristic, complemented
47#16838072C2211yescharacteristic, complemented
48#16838070C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic, complemented
50#16838058C2211yescharacteristic, complemented
51#16838047C2211yescharacteristic, complemented
52#16838046C2211yescharacteristic, complemented
53#16838041—21no—
54#16838039—21no—
55D4×D236—21no—
56D4×D236C2211yescharacteristic, complemented
57D4×D236C2211yescharacteristic, complemented
58#16838036—21no—
59#16838036C2211yescharacteristic, complemented
60#16838036C2211yescharacteristic, complemented
61D4×C22⋊D59—21no—
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16838008C2211yescharacteristic, complemented
65#16838003C2211yescharacteristic, complemented
66#16837991—21no—
67#16837985—21no—
68#16837981C2211yescharacteristic, complemented
69#16837979—21no—
70#16837971C2211yescharacteristic, complemented
71#16837968C2211yescharacteristic, complemented
72#16837967—21no—
73#16837965C2211yescharacteristic, complemented
74#16837963—21no—
75#16837960—21no—
76#16837911C2211yescharacteristic
77#16837908—21no—
78C2×#14273702C2211yescharacteristic, complemented
79C2×#14273699—21no—
80#121×D59C2211yescharacteristic, complemented
81#121×D59C2211yescharacteristic, complemented
82#16837881C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837778C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837759C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837706C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837638C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837616C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837603C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic, complemented
131#16837548C2211yescharacteristic, complemented
132#16837548C2211yescharacteristic, complemented
133#16837548C2211yescharacteristic, complemented
134#16837548C2211yescharacteristic, complemented
135#16837548C2211yescharacteristic, complemented
136#16837548C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837543C2211yescharacteristic, complemented
147#16837540C2211yescharacteristic, complemented
148#16837538C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837489C2211yescharacteristic, complemented
166C4×#11745670C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174D4×C59⋊C8C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837396C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—42no—
211C2×#11745687—42no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C22×Dic118C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C23×Dic59—21no—
237C22×C4×D59C2311yescharacteristic
238#14273755—42no—
239#14273751—42no—
240#14273751—42no—
241#14273751—42no—
242C2×#11745660—42no—
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×#11745669—42no—
255C2×#11745669—42no—
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745669C2311yescharacteristic
266D8×D59—42no—
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C22×C59⋊C8C2311yescharacteristic
271C22×C59⋊C8C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273#14273724—21no—
274#14273724C2311yescharacteristic
275#14273723—21no—
276#14273723—21no—
277#14273723—21no—
278#14273723C2311yescharacteristic
279#14273723C2311yescharacteristic
280#14273722—21no—
281#14273722—21no—
282#14273721—21no—
283#14273718C2311yescharacteristic
284#14273715—21no—
285#14273715C2311yescharacteristic
286#14273714C2311yescharacteristic
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712D411yescharacteristic
295#14273711—21no—
296#14273710—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709D411yescharacteristic
300#14273708—21no—
301#14273707C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273704—21no—
306#14273704—21no—
307#14273704D411yescharacteristic
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700D411yescharacteristic
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699—21no—
347#14273699—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699D411yescharacteristic
351#14273698—21no—
352#14273698C2311yescharacteristic
353#14273698C2311yescharacteristic
354#14273698C2311yescharacteristic
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697D411yescharacteristic
366#14273696—21no—
367#14273696—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695—21no—
373#14273695—21no—
374#14273695D411yescharacteristic
375C4×Dic118C2311yescharacteristic
376#14273692C2311yescharacteristic
377C4×D236—21no—
378C4×D236C2311yescharacteristic
379C4×D236C2311yescharacteristic
380D4×Dic59—21no—
381D4×Dic59—21no—
382D4×Dic59C2311yescharacteristic
383#14273689—21no—
384#14273689C2311yescharacteristic
385#14273689C2311yescharacteristic
386C4×C22⋊D59—21no—
387C4×C22⋊D59—21no—
388C4×C22⋊D59C2311yescharacteristic
389C4×C22⋊D59C2311yescharacteristic
390(C22⋊D59)⋊C4—21no—
391(C22⋊D59)⋊C4—21no—
392(C22⋊D59)⋊C4—21no—
393#14273685C2311yescharacteristic
394#14273684C2311yescharacteristic
395#14273683—21no—
396C2×Dic59⋊C4—21no—
397C4⋊C4×D59C2311yescharacteristic
398C4⋊C4×D59C2311yescharacteristic
399C2×C22⋊Dic59—21no—
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273637C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×D4×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59C2×D411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—22no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59—82no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—44no—
543C2×C22⋊D59—44no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59—82no—
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C2×C22⋊D59C2×D411yescharacteristic
549C2×C22⋊D59C2×D411yescharacteristic
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—44no—
558C22×Dic59C2×D411yescharacteristic
559#11745687—22no—
560#11745687—22no—
561#11745687—22no—
562#11745687—22no—
563#11745687—22no—
564#11745687—41no—
565#11745687—41no—
566#11745687—41no—
567#11745687—41no—
568#11745687—41no—
569#11745687—44no—
570#11745687—44no—
571#11745687—44no—
572D4×D59—22no—
573D4×D59—41no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—41no—
579D4×D59—41no—
580D4×D59—44no—
581D4×D59—82no—
582D4×D59—82no—
583D4×D59—82no—
584D4×D59—82no—
585D4×D59—82no—
586#11745685—22no—
587#11745685—41no—
588#11745685—41no—
589#11745685—41no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236—82no—
607C2×D236—82no—
608C2×D236C2×D411yescharacteristic
609C2×D236C2×D411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×D236C2411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—41no—
621C2×C4×D59—41no—
622C2×C4×D59C2×D411yescharacteristic
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2411yescharacteristic
625C2×C4×D59C2411yescharacteristic
626C2×C4×D59C2411yescharacteristic
627C2×Dic118—22no—
628C2×Dic118—21no—
629C2×Dic118—41no—
630C2×Dic118C2×D411yescharacteristic
631C2×Dic118C2411yescharacteristic
632C2×Dic118C2411yescharacteristic
633D8×C59—22no—
634D8×C59—41no—
635D8×C59—41no—
636M16×C59—41no—
637C2×C8×C59—41no—
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C2×C8×C59C2411yescharacteristic
642C4⋊C4×C59—21no—
643C4⋊C4×C59—21no—
644C4⋊C4×C59—21no—
645C4⋊C4×C59C2×D411yescharacteristic
646C4⋊C4×C59C2411yescharacteristic
647C4⋊C4×C59C2411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59C2×D411yescharacteristic
658C22⋊C4×C59C2×D411yescharacteristic
659C42×C59—21no—
660C42×C59C2411yescharacteristic
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59C2×D411yescharacteristic
669C22⋊Dic59C2×D411yescharacteristic
670#11745670—22no—
671#11745670—41no—
672#11745669—22no—
673#11745669—22no—
674#11745669—22no—
675#11745669—41no—
676#11745669—41no—
677#11745669—41no—
678#11745669—41no—
679#11745669—41no—
680#11745669—41no—
681#11745669—41no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706C4⋊Dic59—21no—
707C4⋊Dic59—21no—
708C4⋊Dic59C2×D411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59C2411yescharacteristic
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—41no—
732D472—41no—
733D472—41no—
734#11745660—22no—
735#11745660—22no—
736#11745660—22no—
737#11745660—41no—
738#11745660—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742#11745659—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—42no—
749C23×C59—42no—
750C23×C59—42no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C22×D59—22no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—41no—
762C22×D59—41no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59C22×D411yescharacteristic
782C22×D59C22×D411yescharacteristic
783C22×D59C22×D411yescharacteristic
784D4×C59—22no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—42no—
793D4×C59—42no—
794D4×C59—42no—
795D4×C59—42no—
796D4×C59—81no—
797D4×C59—81no—
798D4×C59—81no—
799D4×C59—81no—
800D4×C59H(5,𝔽2)12yes—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—81no—
810C2×C4×C59—81no—
811C2×C4×C59—81no—
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C22×D411yescharacteristic
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C22×D411yescharacteristic
816C2×C4×C59C2511yescharacteristic
817C22⋊D59—24no—
818C22⋊D59—22no—
819C22⋊D59—41no—
820C22⋊D59—41no—
821C22⋊D59—41no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C2×Dic59—24no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—41no—
847C2×Dic59—42no—
848C2×Dic59—42no—
849C2×Dic59—42no—
850C2×Dic59—42no—
851C2×Dic59—42no—
852C2×Dic59—81no—
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858D236—21no—
859D236—21no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—21no—
866D236—41no—
867D236—41no—
868D236—42no—
869D236—42no—
870D236—81no—
871D236—81no—
872D236—81no—
873D236—81no—
874D236—81no—
875D236—81no—
876D236—81no—
877D236—81no—
878D236—81no—
879D236—81no—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—21no—
886C4×D59—41no—
887C4×D59—41no—
888C4×D59—42no—
889C4×D59—81no—
890C4×D59—81no—
891C4×D59—81no—
892C4×D59—81no—
893C4×D59—81no—
894Dic118—21no—
895Dic118—21no—
896Dic118—21no—
897Dic118—41no—
898Dic118—42no—
899Dic118H(5,𝔽2)12yes—
900C8×C59—21no—
901C8×C59—21no—
902C8×C59—21no—
903C8×C59—21no—
904C59⋊C8—21no—
905C59⋊C8—21no—
906C59⋊C8—21no—
907C59⋊C8—21no—
908#61617—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—22no—
913C22×C59—21no—
914C22×C59—21no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—84no—
927C22×C59—162no—
928C22×C59#57612yes—
929C22×C59C23×D411yescharacteristic
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—21no—
934C2×D59—21no—
935C2×D59—21no—
936C2×D59—21no—
937C2×D59—21no—
938C2×D59—21no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—82no—
952C2×D59—162no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C2×D59—162no—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—21no—
961C4×C59—21no—
962C4×C59—41no—
963C4×C59—41no—
964C4×C59—41no—
965C4×C59—41no—
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967C4×C59C2×H(5,𝔽2)11yescharacteristic
968Dic59—21no—
969Dic59—22no—
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
973Dic59—21no—
974Dic59—41no—
975Dic59—41no—
976Dic59—41no—
977#3537—591no—
978#3488—591no—
979#3322—591no—
980#3322—591no—
981#3318—591no—
982#3318D5911yescharacteristic, complemented
983#3309—591no—
984#3309—591no—
985#3301—591no—
986#3301—591no—
987D4×D8—591no—
988D4×D8—591no—
989#3274—591no—
990#3274—591no—
991#3265—591no—
992#3265—591no—
993#3264—591no—
994#3264—591no—
995#3220—591no—
996#3220—591no—
997#3198—591no—
998#3198—591no—
999#3192—591no—
1000#3186—591no—
1001#3119—591no—
1002#3119—591no—
1003#3008—591no—
1004#3008—591no—
1005#3006—591no—
1006C2×#449—591no—
1007#2976—591no—
1008C2×C59—22no—
1009C2×C59—41no—
1010C2×C59—42no—
1011C2×C59—81no—
1012C2×C59—81no—
1013C2×C59—81no—
1014C2×C59#348411yescharacteristic
1015C2×C59C2×#57611yescharacteristic
1016C2×C59#358511yescharacteristic
1017D59—41no—
1018D59—41no—
1019D59—41no—
1020D59—81no—
1021D59—81no—
1022D59—81no—
1023D59—81no—
1024C2×H(5,𝔽2)—591no—
1025C22×#41—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×AGL(1,ℤ/8)—591no—
1030C22×SD16—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8—591no—
1034#560—1181no—
1035#560—1181no—
1036#553—591no—
1037#553—591no—
1038#553—591no—
1039#553C2×D5911yescharacteristic, complemented
1040#550—591no—
1041#550—591no—
1042#548—591no—
1043#548—591no—
1044#546—591no—
1045#546—591no—
1046#546—1181no—
1047#546—1181no—
1048D42—591no—
1049D42—591no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—1181no—
1054D42—1181no—
1055D42—1181no—
1056D42—1181no—
1057D42C2×D5911yescharacteristic, complemented
1058#540—591no—
1059#540—591no—
1060#538—1181no—
1061#538—1181no—
1062#537—591no—
1063#537—1181no—
1064#535—591no—
1065#535—591no—
1066#535—591no—
1067#535—1181no—
1068#534—1181no—
1069#534—1181no—
1070#525—591no—
1071#525—1181no—
1072C2×#121—591no—
1073C2×#121—591no—
1074C2×#121—591no—
1075C2×#121—1181no—
1076#520—591no—
1077#496—591no—
1078#496—591no—
1079#493—591no—
1080#493—591no—
1081#490—591no—
1082#490C2×D5911yescharacteristic, complemented
1083#488—591no—
1084#488—591no—
1085#485—591no—
1086#485—591no—
1087#482—591no—
1088#482C2×D5911yescharacteristic, complemented
1089#481—591no—
1090#481—591no—
1091#481—591no—
1092#481C2×D5911yescharacteristic, complemented
1093#480—591no—
1094#480—591no—
1095#480—591no—
1096#480—591no—
1097#479—591no—
1098#479—591no—
1099#478—591no—
1100#478C2×D5911yescharacteristic, complemented
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#469—591no—
1106#469C2×D5911yescharacteristic, complemented
1107#468—591no—
1108#468—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#466—591no—
1114#466C2×D5911yescharacteristic, complemented
1115#465—591no—
1116#465—591no—
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463—591no—
1121#460—591no—
1122#460—591no—
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459—591no—
1128#459C2×D5911yescharacteristic, complemented
1129#450—591no—
1130#450—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#448—591no—
1148#448—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447—591no—
1159#447—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447C2×D5911yescharacteristic, complemented
1164#447C2×D5911yescharacteristic, complemented
1165#442—591no—
1166#442C2×D5911yescharacteristic, complemented
1167#440—591no—
1168#440—591no—
1169C4×SD16—591no—
1170C4×SD16—591no—
1171C4×D8—591no—
1172C4×D8—591no—
1173#436—591no—
1174#436—591no—
1175#435—591no—
1176#435—591no—
1177#435—591no—
1178#435C2×D5911yescharacteristic, complemented
1179C8×D4—591no—
1180C8×D4—591no—
1181#433—591no—
1182#433—591no—
1183#418—591no—
1184#418C2×D5911yescharacteristic, complemented
1185#417—591no—
1186#417—591no—
1187#416—591no—
1188#416—591no—
1189C2×#103—591no—
1190C2×#102C2×D5911yescharacteristic, complemented
1191#408—591no—
1192#408—591no—
1193#407—591no—
1194C2×C22⋊C8—591no—
1195C59#6161711yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198C2×#41—591no—
1199C2×#41—591no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—1181no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41—2362no—
1209C2×#41—2362no—
1210C22×Q8—591no—
1211C22×D4—21no—
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—1181no—
1219C22×D4—1181no—
1220C22×D4—1181no—
1221C22×D4—1181no—
1222C22×D4—1181no—
1223C22×D4—1181no—
1224C22×D4—1181no—
1225C22×D4—1181no—
1226C22×D4—1181no—
1227C22×D4—1181no—
1228C22×D4—1181no—
1229C22×D4—1181no—
1230C22×D4C22×D5911yescharacteristic
1231C22×D4C22×D5911yescharacteristic
1232C23×C4—591no—
1233C23×C4—1181no—
1234AGL(1,ℤ/8)—2362no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237AGL(1,ℤ/8)—2362no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16—591no—
1245C2×SD16—591no—
1246C2×SD16—2362no—
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8—591no—
1254C2×D8—591no—
1255C2×D8—591no—
1256C2×D8—591no—
1257C2×D8—591no—
1258C2×D8—591no—
1259C2×D8—591no—
1260C2×D8—2362no—
1261C2×D8—2362no—
1262C2×D8—2362no—
1263C2×D8C22×D5911yescharacteristic
1264C2×D8C22×D5911yescharacteristic
1265C2×D8C22×D5911yescharacteristic
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16—591no—
1269C2×M16C22×D5911yescharacteristic
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8—591no—
1273C22×C8C22×D5911yescharacteristic
1274#127—591no—
1275#127—591no—
1276#127—591no—
1277#127—1181no—
1278#127—1181no—
1279#127—1181no—
1280#127—1181no—
1281#127C22×D5911yescharacteristic
1282#126—21no—
1283#126—1181no—
1284#126—1181no—
1285#126—1181no—
1286#125—591no—
1287#125C22×D5911yescharacteristic
1288#124—591no—
1289#124—591no—
1290#124—1181no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#123—21no—
1295#123—591no—
1296#123—591no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300#123—1181no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306C22⋊Q8—591no—
1307C22⋊Q8—591no—
1308C22⋊Q8—591no—
1309C22⋊Q8—591no—
1310C22⋊Q8—1181no—
1311C22⋊Q8—1181no—
1312C22⋊Q8—1181no—
1313#121—21no—
1314#121—21no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#121C22×D5911yescharacteristic
1365#121C22×D5911yescharacteristic
1366#120—21no—
1367#120—21no—
1368#120—591no—
1369#120—591no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387#120—1181no—
1388C4×Q8—591no—
1389C4×Q8—591no—
1390C4×D4—21no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4C22×D5911yescharacteristic
1408C4×D4C22×D5911yescharacteristic
1409C4×D4C22×D5911yescharacteristic
1410#117—591no—
1411#117—591no—
1412#117—1181no—
1413#117C22×D5911yescharacteristic
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—591no—
1416C2×C4⋊C4—1181no—
1417C2×C4⋊C4C22×D5911yescharacteristic
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423#107—591no—
1424#107—591no—
1425#107—591no—
1426#107C22×D5911yescharacteristic
1427#106—591no—
1428#106—591no—
1429#106C22×D5911yescharacteristic
1430#106C22×D5911yescharacteristic
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8—591no—
1434C4⋊C8C22×D5911yescharacteristic
1435#103—591no—
1436#103—591no—
1437#103—591no—
1438#103—591no—
1439#103—591no—
1440#103—591no—
1441#103—591no—
1442#103—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102C22×D5911yescharacteristic
1458#102C22×D5911yescharacteristic
1459#102C22×D5911yescharacteristic
1460#102C22×D5911yescharacteristic
1461#102C22×D5911yescharacteristic
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466#102C22×D5911yescharacteristic
1467C22⋊C8—591no—
1468C22⋊C8—591no—
1469C22⋊C8—591no—
1470C22⋊C8—591no—
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8C22×D5911yescharacteristic
1478C22⋊C8C22×D5911yescharacteristic
1479#97—591no—
1480#97C22×D5911yescharacteristic
1481C4×C8—591no—
1482C4×C8—591no—
1483C24—21no—
1484C24—21no—
1485C24—591no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492#41—1182no—
1493#41—1182no—
1494#41—1182no—
1495#41—1182no—
1496#41—1182no—
1497#41—1182no—
1498#41—2361no—
1499#41—2361no—
1500#41—2361no—
1501#41—2361no—
1502#41—2361no—
1503#41—2361no—
1504#41—2361no—
1505#41—2361no—
1506#41—2364no—
1507#41—2364no—
1508#41—2364no—
1509C2×Q8—591no—
1510C2×Q8—591no—
1511C2×Q8—591no—
1512C2×Q8—1182no—
1513C2×Q8—1181no—
1514C2×Q8—2361no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—82no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
1532C2×D4—591no—
1533C2×D4—591no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1182no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—4722no—
1572C2×D4—4722no—
1573C2×D4—4722no—
1574C2×D4—4722no—
1575C2×D4—4722no—
1576C2×D4—4722no—
1577C2×D4—4722no—
1578C2×D4—4722no—
1579C2×D4—2361no—
1580C2×D4—2361no—
1581C2×D4—2361no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2364no—
1591C2×D4—2364no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4D4×D5911yescharacteristic
1595C2×D4C23×D5911yescharacteristic
1596C2×D4C23×D5911yescharacteristic
1597C2×D4C23×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—591no—
1603C22×C4—591no—
1604C22×C4—591no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—1181no—
1609C22×C4—1181no—
1610C22×C4—1181no—
1611C22×C4—1181no—
1612C22×C4—1181no—
1613C22×C4—1181no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—2361no—
1622C22×C4—2361no—
1623C22×C4—2364no—
1624C22×C4C23×D5911yescharacteristic
1625C22×C4C23×D5911yescharacteristic
1626SD16—1182no—
1627SD16—1182no—
1628SD16—1182no—
1629SD16—1182no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—41no—
1636D8—41no—
1637D8—1182no—
1638D8—1182no—
1639D8—1182no—
1640D8—2361no—
1641D8—2361no—
1642D8—2361no—
1643D8—2361no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650M16—41no—
1651M16—2361no—
1652M16—2361no—
1653M16—2361no—
1654C2×C8—41no—
1655C2×C8—591no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—2361no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8C23×D5911yescharacteristic
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—591no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4—1181no—
1684C4⋊C4D4×D5911yescharacteristic
1685C4⋊C4C23×D5911yescharacteristic
1686C4⋊C4C23×D5911yescharacteristic
1687C4⋊C4C23×D5911yescharacteristic
1688C4⋊C4C23×D5911yescharacteristic
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
1701C22⋊C4—591no—
1702C22⋊C4—591no—
1703C22⋊C4—591no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4D4×D5911yescharacteristic
1730C22⋊C4D4×D5911yescharacteristic
1731C42—21no—
1732C42—591no—
1733C42—1181no—
1734C42—1181no—
1735C42—1181no—
1736C42C23×D5911yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—42no—
1742C23—42no—
1743C23—42no—
1744C23—81no—
1745C23—81no—
1746C23—81no—
1747C23—591no—
1748C23—591no—
1749C23—591no—
1750C23—1182no—
1751C23—1181no—
1752C23—1181no—
1753C23—1181no—
1754C23—1181no—
1755C23—4721no—
1756C23—4721no—
1757C23—4721no—
1758C23—4721no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—4721no—
1768C23—4721no—
1769C23—2361no—
1770C23—2361no—
1771C23—2362no—
1772C23—2362no—
1773C23—2362no—
1774C23—2362no—
1775C23C2×D4×D5911yescharacteristic
1776C23C2×D4×D5911yescharacteristic
1777Q8—592no—
1778Q8—1181no—
1779Q8—1181no—
1780Q8—1181no—
1781Q8—2361no—
1782Q8—2362no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—1184no—
1800D4—1182no—
1801D4—1181no—
1802D4—1181no—
1803D4—1181no—
1804D4—1181no—
1805D4—1181no—
1806D4—1181no—
1807D4—1181no—
1808D4—1181no—
1809D4—4721no—
1810D4—4721no—
1811D4—4721no—
1812D4—4721no—
1813D4—4721no—
1814D4—4721no—
1815D4—4721no—
1816D4—4721no—
1817D4—4721no—
1818D4—4721no—
1819D4—4721no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—4721no—
1827D4—4721no—
1828D4—4721no—
1829D4—2361no—
1830D4—2361no—
1831D4—2362no—
1832D4—2362no—
1833D4—2361no—
1834D4—2361no—
1835D4—2361no—
1836D4—2362no—
1837D4—2362no—
1838D4—2362no—
1839D4—2362no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4#1427377312yes—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—81no—
1855C2×C4—81no—
1856C2×C4—81no—
1857C2×C4—591no—
1858C2×C4—591no—
1859C2×C4—591no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—1184no—
1863C2×C4—1181no—
1864C2×C4—1181no—
1865C2×C4—1181no—
1866C2×C4—1181no—
1867C2×C4—1181no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—4721no—
1874C2×C4—4721no—
1875C2×C4—4721no—
1876C2×C4—4721no—
1877C2×C4—4721no—
1878C2×C4—4721no—
1879C2×C4—2361no—
1880C2×C4—2361no—
1881C2×C4—2362no—
1882C2×C4—2361no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4—2362no—
1888C2×C4C2×D4×D5911yescharacteristic
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C2×D4×D5911yescharacteristic
1892C2×C4C24×D5911yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C8—1181no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—22no—
1905C22—21no—
1906C22—21no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—84no—
1919C22—162no—
1920C22—1181no—
1921C22—1181no—
1922C22—1181no—
1923C22—1181no—
1924C22—1181no—
1925C22—1181no—
1926C22—1181no—
1927C22—1181no—
1928C22—1181no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—9442no—
1933C22—9442no—
1934C22—9442no—
1935C22—4722no—
1936C22—2361no—
1937C22—2361no—
1938C22—2361no—
1939C22—2361no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22#1683820612yes—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—1181no—
1959C4—1181no—
1960C4—1181no—
1961C4—1182no—
1962C4—1181no—
1963C4—1181no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4H(5,𝔽2)×D5911yescharacteristic
1968C4C2×#1427377311yescharacteristic
1969C2—22no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—4721no—
1976C2—4721no—
1977C2—4721no—
1978C2—4721no—
1979C2—2361no—
1980C2—2361no—
1981C2—2361no—
1982C2#2143772611yescharacteristic
1983C2C2×#1683820611yescharacteristic
1984C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61617
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21438332C2semidirect
2. #21437756C2semidirect
3. #21436294C2semidirect
4. #21436293C2semidirect
5. #21436233C2semidirect
6. #21436101C2semidirect
7. #21436100C2semidirect
8. #21435996C2semidirect
9. #21435992C2semidirect
10. D4×#11745669C2semidirect
11. #21435766C2semidirect
12. #21435719C2semidirect
13. #21435713C2semidirect
14. #21435596C2semidirect
15. #21435588C2semidirect
16. #21435578C2semidirect
17. #21435569C2semidirect
18. #21435147C2semidirect
19. #21435145C2semidirect
20. #21434946C2semidirect
21. #21434943C2semidirect
22. #21434895C2semidirect
23. #21434843C2semidirect
24. #21434300C2semidirect
25. #21434299C2semidirect
26. #21433365C2semidirect
27. #21433359C2semidirect
28. #21433343C2semidirect
29. C2×#16837548C2semidirect
30. #21433145C2semidirect
31. C59×#3318C2semidirect
32. C2×#14273772C22semidirect
33. C22×#11745687C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C22×#11745660C22semidirect
39. C22×#11745669C22semidirect
40. C22×#11745669C22semidirect
41. C2×D8×D59C22semidirect
44. #16838105C22semidirect
45. #16838100C22semidirect
46. #16838096C22semidirect
47. #16838072C22semidirect
48. #16838070C22semidirect
49. #16838061C22semidirect
50. #16838058C22semidirect
51. #16838047C22semidirect
52. #16838046C22semidirect
56. D4×D236C22semidirect
57. D4×D236C22semidirect
59. #16838036C22semidirect
60. #16838036C22semidirect
62. D4×C22⋊D59C22semidirect
64. #16838008C22semidirect
65. #16838003C22semidirect
68. #16837981C22semidirect
70. #16837971C22semidirect
71. #16837968C22semidirect
73. #16837965C22semidirect
78. C2×#14273702C22semidirect
80. #121×D59C22semidirect
81. #121×D59C22semidirect
82. #16837881C22semidirect
83. #16837791C22semidirect
84. #16837790C22semidirect
85. #16837778C22semidirect
86. #16837777C22semidirect
87. #16837765C22semidirect
88. #16837759C22semidirect
89. #16837755C22semidirect
90. #16837746C22semidirect
91. #16837743C22semidirect
92. #16837724C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837720C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837712C22semidirect
101. #16837706C22semidirect
102. #16837700C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
108. #16837649C22semidirect
109. #16837648C22semidirect
110. #16837638C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837636C22semidirect
114. #16837636C22semidirect
115. #16837632C22semidirect
116. #16837629C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837616C22semidirect
120. #16837616C22semidirect
121. #16837603C22semidirect
122. #16837601C22semidirect
123. #16837597C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837555C22semidirect
129. #16837554C22semidirect
130. #16837549C22semidirect
131. #16837548C22semidirect
132. #16837548C22semidirect
133. #16837548C22semidirect
134. #16837548C22semidirect
135. #16837548C22semidirect
136. #16837548C22semidirect
137. #16837548C22semidirect
138. #16837548C22semidirect
139. #16837548C22semidirect
140. #16837548C22semidirect
141. #16837548C22semidirect
142. #16837548C22semidirect
143. #16837545C22semidirect
144. #16837544C22semidirect
145. #16837544C22semidirect
146. #16837543C22semidirect
147. #16837540C22semidirect
148. #16837538C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837535C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837511C22semidirect
163. #16837504C22semidirect
164. #16837501C22semidirect
165. #16837489C22semidirect
166. C4×#11745670C22semidirect
167. C4×#11745669C22semidirect
168. #16837482C22semidirect
169. #16837479C22semidirect
170. #16837478C22semidirect
171. #16837475C22semidirect
172. #16837473C22semidirect
173. #16837470C22semidirect
174. D4×C59⋊C8C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837464C22semidirect
177. #16837462C22semidirect
178. #16837405C22semidirect
179. #16837400C22semidirect
180. #16837400C22semidirect
181. #16837396C22semidirect
182. #16837395C22semidirect
183. C2×#14273650C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C59×#553C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
982. #3318D59semidirect
1039. #553C2×D59semidirect
1057. D42C2×D59semidirect
1082. #490C2×D59semidirect
1088. #482C2×D59semidirect
1092. #481C2×D59semidirect
1100. #478C2×D59semidirect
1106. #469C2×D59semidirect
1114. #466C2×D59semidirect
1128. #459C2×D59semidirect
1163. #447C2×D59semidirect
1164. #447C2×D59semidirect
1166. #442C2×D59semidirect
1178. #435C2×D59semidirect
1184. #418C2×D59semidirect
1190. C2×#102C2×D59semidirect
1195. C59#61617semidirect

Maximal subgroups

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

subgroupindex
#214383322
#214377562
#214362942
#214362932
#214362332
#214361012
#214361002
#214359962
#214359922
D4×#117456692
#214357662
#214357192
#214357132
#214355962
#214355882
#214355782
#214355692
#214351472
#214351452
#214349462
#214349432
#214348952
#214348432
#214343002
#214342992
#214333652
#214333592
#214333432
C2×#168375482
#214331452
C59×#33182
#6161759