Finite Group Databasebeta

← #29475725

Subgroups — #29475725

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#21438498C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic, complemented
3#21436333C211yesmaximal, characteristic, complemented
4#21436331C211yesmaximal, characteristic, complemented
5#21436259C211yesmaximal, characteristic, complemented
6#21436257C211yesmaximal, characteristic, complemented
7#21436254C211yesmaximal, characteristic, complemented
8#21436252C211yesmaximal, characteristic, complemented
9#21436019C211yesmaximal, characteristic, complemented
10#21436017C211yesmaximal, characteristic, complemented
11D8×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435694C211yesmaximal, characteristic, complemented
14#21435690C211yesmaximal, characteristic, complemented
15#21435575C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435086C211yesmaximal, characteristic, complemented
19#21435028C211yesmaximal, characteristic, complemented
20#21434952C211yesmaximal, characteristic, complemented
21#21434951C211yesmaximal, characteristic, complemented
22#21434944C211yesmaximal, characteristic, complemented
23#21434943C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434095C211yesmaximal, characteristic, complemented
26#21433363C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433360C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838145—21no—
41#16838145—21no—
42#16838117C2211yescharacteristic, complemented
43#16838117C2211yescharacteristic, complemented
44#16838116—21no—
45#16838116C2211yescharacteristic, complemented
46#16838116C2211yescharacteristic, complemented
47#16838054C2211yescharacteristic, complemented
48#16838051C2211yescharacteristic, complemented
49#16838050—21no—
50#16838048C2211yescharacteristic, complemented
51#16838047C2211yescharacteristic, complemented
52#16838045C2211yescharacteristic, complemented
53#16838042—21no—
54#16838041—21no—
55#16838037C2211yescharacteristic, complemented
56#16838036C2211yescharacteristic, complemented
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16837982C2211yescharacteristic, complemented
63#16837981C2211yescharacteristic, complemented
64#16837969—21no—
65#16837969C2211yescharacteristic, complemented
66#16837969C2211yescharacteristic, complemented
67#16837968—21no—
68#16837968C2211yescharacteristic, complemented
69#16837968C2211yescharacteristic, complemented
70#16837967—21no—
71#16837967—21no—
72#16837963—21no—
73#16837962—21no—
74#16837951C2211yescharacteristic, complemented
75#16837950C2211yescharacteristic, complemented
76#16837949C2211yescharacteristic
77#16837949C2211yescharacteristic, complemented
78C2×#14273700—21no—
79#121×D59—21no—
80C4×D4×D59C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837605C2211yescharacteristic, complemented
122#16837605C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic, complemented
124#16837595C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837554C2211yescharacteristic, complemented
129#16837553C2211yescharacteristic, complemented
130#16837551C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837549C2211yescharacteristic, complemented
133#16837548C2211yescharacteristic, complemented
134#16837547C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837544C2211yescharacteristic, complemented
142#16837544C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837538C2211yescharacteristic, complemented
147#16837537C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic, complemented
149#16837536C2211yescharacteristic, complemented
150#16837536C2211yescharacteristic, complemented
151#16837535C2211yescharacteristic, complemented
152#16837534C2211yescharacteristic, complemented
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163D8×Dic59C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C22×C4×D59—21no—
236#14273754—42no—
237#14273753—42no—
238#14273751—42no—
239C2×#11745660C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×#11745669—42no—
247C2×#11745669C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255D8×D59—42no—
256D8×D59—42no—
257C2×#11745664C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C22×C59⋊C8C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263#14273727C2311yescharacteristic
264#14273726D411yescharacteristic
265#14273726C2311yescharacteristic
266#14273725C2311yescharacteristic
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723D411yescharacteristic
272#14273723C2311yescharacteristic
273#14273723C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273714—21no—
277#14273714—21no—
278#14273714—21no—
279#14273714—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713D411yescharacteristic
290#14273713D411yescharacteristic
291#14273712—21no—
292#14273712—21no—
293#14273711—21no—
294#14273710—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708—21no—
298#14273707C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273704—21no—
302#14273703C2311yescharacteristic
303#14273702—21no—
304#14273702D411yescharacteristic
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273700D411yescharacteristic
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698D411yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273696—21no—
350#14273696—21no—
351#14273696—21no—
352#14273696—21no—
353#14273696—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368D4×Dic59—21no—
369D4×Dic59C2311yescharacteristic
370D4×Dic59C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273686C2311yescharacteristic
382#14273686C2311yescharacteristic
383#14273685—21no—
384#14273685C2311yescharacteristic
385#14273685C2311yescharacteristic
386#14273683—21no—
387#14273683—21no—
388C2×Dic59⋊C4—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
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#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×D4×C59—21no—
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450AGL(1,ℤ/8)×C59—42no—
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×D8×C59—42no—
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59C2311yescharacteristic
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474#120×C59—21no—
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×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—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499#41×C59—22no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—22no—
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—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59—41no—
516C2×D4×C59—41no—
517C2×D4×C59—82no—
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
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—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—44no—
553C2×C22⋊D59—44no—
554C2×C22⋊D59—82no—
555C2×C22⋊D59—82no—
556C2×C22⋊D59—82no—
557C2×C22⋊D59C2×D411yescharacteristic
558C2×C22⋊D59C2×D411yescharacteristic
559C2×C22⋊D59C2×D411yescharacteristic
560C2×C22⋊D59C2×D411yescharacteristic
561C2×C22⋊D59C2×D411yescharacteristic
562C2×C22⋊D59C2×D411yescharacteristic
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568#11745689—22no—
569#11745689—41no—
570#11745689—41no—
571#11745689—41no—
572#11745687—22no—
573#11745687—41no—
574#11745687—41no—
575#11745687—41no—
576#11745687—44no—
577#11745687—82no—
578D4×D59—22no—
579D4×D59—22no—
580D4×D59—22no—
581D4×D59—22no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—41no—
586D4×D59—41no—
587D4×D59—41no—
588D4×D59—44no—
589D4×D59—44no—
590D4×D59—44no—
591D4×D59—82no—
592D4×D59—82no—
593#11745685—22no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597#11745685—41no—
598#11745685—41no—
599#11745685—44no—
600#11745685—82no—
601C2×D236—22no—
602C2×D236—21no—
603C2×D236—21no—
604C2×D236—21no—
605C2×D236—21no—
606C2×D236—21no—
607C2×D236—41no—
608C2×D236—44no—
609C2×D236C2×D411yescharacteristic
610C2×D236C2×D411yescharacteristic
611C2×D236C2×D411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×D236C2411yescharacteristic
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—82no—
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2411yescharacteristic
626C2×C4×D59C2411yescharacteristic
627C2×C4×D59C2411yescharacteristic
628C2×Dic118—21no—
629C2×Dic118—21no—
630C2×Dic118C2×D411yescharacteristic
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2411yescharacteristic
633SD16×C59—41no—
634SD16×C59—41no—
635SD16×C59—41no—
636D8×C59—22no—
637D8×C59—22no—
638D8×C59—22no—
639D8×C59—41no—
640D8×C59—41no—
641D8×C59—41no—
642M16×C59—41no—
643C2×C8×C59—41no—
644C2×C8×C59C2411yescharacteristic
645C2×C8×C59C2411yescharacteristic
646C2×C8×C59C2411yescharacteristic
647C2×C8×C59C2411yescharacteristic
648C4⋊C4×C59—21no—
649C4⋊C4×C59C2×D411yescharacteristic
650C4⋊C4×C59C2411yescharacteristic
651C4⋊C4×C59C2411yescharacteristic
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59C2×D411yescharacteristic
661C22⋊C4×C59C2×D411yescharacteristic
662C42×C59C2411yescharacteristic
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59—21no—
676C22⋊Dic59—21no—
677C22⋊Dic59C2×D411yescharacteristic
678C22⋊Dic59C2×D411yescharacteristic
679#11745671—41no—
680#11745670—41no—
681#11745670—41no—
682#11745670—41no—
683#11745669—22no—
684#11745669—22no—
685#11745669—22no—
686#11745669—22no—
687#11745669—41no—
688#11745669—41no—
689#11745669—41no—
690#11745669—41no—
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)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707(C2×D59)⋊C4C2×D411yescharacteristic
708(C2×D59)⋊C4C2×D411yescharacteristic
709C4⋊Dic59—21no—
710C4⋊Dic59—21no—
711C4⋊Dic59C2×D411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713C4⋊Dic59C2411yescharacteristic
714C4⋊Dic59C2411yescharacteristic
715C4⋊Dic59C2411yescharacteristic
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4C2×D411yescharacteristic
723Dic59⋊C4C2×D411yescharacteristic
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2×D411yescharacteristic
729C4×Dic59C2×D411yescharacteristic
730C4×Dic59C2411yescharacteristic
731#11745664—41no—
732C2×C59⋊C8—41no—
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737D472—22no—
738D472—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—21no—
749C23×C59—42no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59—81no—
755C23×C59—81no—
756C23×C59—81no—
757C23×C59—81no—
758C23×C59C22×D411yescharacteristic
759C23×C59C22×D411yescharacteristic
760C22×D59—21no—
761C22×D59—24no—
762C22×D59—21no—
763C22×D59—21no—
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
784Q8×C59—21no—
785Q8×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—41no—
796D4×C59—42no—
797D4×C59—42no—
798D4×C59—42no—
799D4×C59—81no—
800D4×C59—81no—
801D4×C59—81no—
802D4×C59—81no—
803D4×C59—81no—
804D4×C59—81no—
805D4×C59H(5,𝔽2)12yes—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—42no—
814C2×C4×C59—42no—
815C2×C4×C59—81no—
816C2×C4×C59C22×D411yescharacteristic
817C2×C4×C59C22×D411yescharacteristic
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C2511yescharacteristic
821C22⋊D59—24no—
822C22⋊D59—22no—
823C22⋊D59—22no—
824C22⋊D59—41no—
825C22⋊D59—41no—
826C22⋊D59—41no—
827C22⋊D59—41no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59—81no—
850C2×Dic59—21no—
851C2×Dic59—21no—
852C2×Dic59—21no—
853C2×Dic59—21no—
854C2×Dic59—21no—
855C2×Dic59—42no—
856C2×Dic59—42no—
857C2×Dic59—42no—
858C2×Dic59—42no—
859C2×Dic59—42no—
860C2×Dic59C22×D411yescharacteristic
861C2×Dic59C22×D411yescharacteristic
862C2×Dic59C22×D411yescharacteristic
863C2×Dic59C22×D411yescharacteristic
864C2×Dic59C22×D411yescharacteristic
865D236—21no—
866D236—21no—
867D236—21no—
868D236—21no—
869D236—21no—
870D236—41no—
871D236—41no—
872D236—41no—
873D236—42no—
874D236—42no—
875D236—42no—
876D236—81no—
877D236—81no—
878D236H(5,𝔽2)12yes—
879C4×D59—21no—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—22no—
886C4×D59—41no—
887C4×D59—42no—
888C4×D59—42no—
889C4×D59—42no—
890C4×D59—42no—
891C4×D59—42no—
892C4×D59—81no—
893C4×D59—81no—
894Dic118—21no—
895Dic118—21no—
896Dic118—41no—
897Dic118—41no—
898Dic118—81no—
899Dic118—81no—
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#61679—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—22no—
912C22×C59—21no—
913C22×C59—21no—
914C22×C59—21no—
915C22×C59—21no—
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—41no—
927C22×C59—41no—
928C22×C59—41no—
929C22×C59—41no—
930C22×C59—162no—
931C22×C59—162no—
932C22×C59—162no—
933C22×C59C23×D411yescharacteristic
934C2×D59—21no—
935C2×D59—21no—
936C2×D59—21no—
937C2×D59—21no—
938C2×D59—21no—
939C2×D59—21no—
940C2×D59—22no—
941C2×D59—21no—
942C2×D59—21no—
943C2×D59—21no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—41no—
952C2×D59—84no—
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×C59C2×H(5,𝔽2)11yescharacteristic
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967Dic59—21no—
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—41no—
972Dic59—41no—
973Dic59—41no—
974Dic59—41no—
975Dic59—41no—
976Dic59#57612yes—
977#3549—591no—
978#3496—591no—
979#3325—591no—
980#3325—591no—
981#3319—591no—
982#3319—591no—
983#3319—591no—
984#3319—591no—
985#3303—591no—
986#3303—591no—
987D4×D8—591no—
988D4×D8—591no—
989#3272—591no—
990#3272—591no—
991#3264—591no—
992#3264—591no—
993#3264—591no—
994#3264D5911yescharacteristic, complemented
995#3214—591no—
996#3207—591no—
997#3198—591no—
998#3198—591no—
999#3198—591no—
1000#3198—591no—
1001#3109—591no—
1002#3100—591no—
1003#3008—591no—
1004#3008—591no—
1005#3008—591no—
1006#3008—591no—
1007#2981—591no—
1008C2×C59—42no—
1009C2×C59—41no—
1010C2×C59—41no—
1011C2×C59—81no—
1012C2×C59—81no—
1013C2×C59—81no—
1014C2×C59—81no—
1015C2×C59#348411yescharacteristic
1016C2×C59C2×#57611yescharacteristic
1017C2×C59#358511yescharacteristic
1018D59—41no—
1019D59—41no—
1020D59—41no—
1021D59—42no—
1022D59—81no—
1023D59—81no—
1024C2×H(5,𝔽2)—591no—
1025C2×H(5,𝔽2)—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1030C22×D8—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8C2×D5911yescharacteristic, complemented
1034H(3,𝔽4)—1181no—
1035H(3,𝔽4)—1181no—
1036#555—591no—
1037#555—591no—
1038#555—591no—
1039#555—591no—
1040#555—1181no—
1041#547—591no—
1042#547—591no—
1043#547—1181no—
1044#546—591no—
1045#546—591no—
1046#546—591no—
1047#546—1181no—
1048#546—1181no—
1049#546C2×D5911yescharacteristic, complemented
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—591no—
1054D42—591no—
1055D42—1181no—
1056D42—1181no—
1057D42C2×D5911yescharacteristic, complemented
1058#537—591no—
1059#537—591no—
1060#535—591no—
1061#535—591no—
1062#535—591no—
1063#535—591no—
1064#535—1181no—
1065#535—1181no—
1066#535—1181no—
1067#535—1181no—
1068#534—1181no—
1069#534—1181no—
1070#532—591no—
1071#532—591no—
1072#532—591no—
1073#532—591no—
1074C2×#121—1181no—
1075C2×#121—1181no—
1076C2×C4×D4—591no—
1077#496—591no—
1078#496C2×D5911yescharacteristic, complemented
1079#493—591no—
1080#492—591no—
1081#489—591no—
1082#489—591no—
1083#487—591no—
1084#486—591no—
1085#485—591no—
1086#485—591no—
1087#485—591no—
1088#485—591no—
1089#482—591no—
1090#482—591no—
1091#482—591no—
1092#482—591no—
1093#481—591no—
1094#481—591no—
1095#480—591no—
1096#480—591no—
1097#476—591no—
1098#476—591no—
1099#474—591no—
1100#474—591no—
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469C2×D5911yescharacteristic, complemented
1105#468—591no—
1106#468—591no—
1107#468—591no—
1108#468—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#465—591no—
1114#465—591no—
1115#465—591no—
1116#465C2×D5911yescharacteristic, complemented
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463C2×D5911yescharacteristic, complemented
1121#461—591no—
1122#461—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#450—591no—
1132#450C2×D5911yescharacteristic, complemented
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#449—591no—
1148#449C2×D5911yescharacteristic, complemented
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#442—591no—
1167#442—591no—
1168#442C2×D5911yescharacteristic, complemented
1169C4×D8—591no—
1170C4×D8—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#432—591no—
1182#431—591no—
1183#418—591no—
1184#418—591no—
1185#418—591no—
1186#418—591no—
1187#416—591no—
1188#416—591no—
1189#416—591no—
1190#416—591no—
1191#408—591no—
1192#408—591no—
1193#408—591no—
1194#408—591no—
1195C59#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198H(5,𝔽2)—2362no—
1199H(5,𝔽2)—2362no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—591no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41—1181no—
1211C2×#41C22×D5911yescharacteristic
1212C22×D4—21no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
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
1232C22×D4C22×D5911yescharacteristic
1233C23×C4—1181no—
1234AGL(1,ℤ/8)—42no—
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×SD16C22×D5911yescharacteristic
1244C2×SD16C22×D5911yescharacteristic
1245C2×SD16C22×D5911yescharacteristic
1246C2×D8—42no—
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—2362no—
1258C2×D8—2362no—
1259C2×D8—2362no—
1260C2×D8C22×D5911yescharacteristic
1261C2×D8C22×D5911yescharacteristic
1262C2×D8C22×D5911yescharacteristic
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
1274C4⋊Q8—591no—
1275C4⋊Q8—591no—
1276C4⋊Q8—591no—
1277C4⋊Q8—591no—
1278#127—591no—
1279#127—591no—
1280#127—591no—
1281#127—1181no—
1282#127—1181no—
1283#127—1181no—
1284#127—1181no—
1285#127C22×D5911yescharacteristic
1286#124—591no—
1287#124—591no—
1288#124—591no—
1289#124—1181no—
1290#124—1181no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#124—1181no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124—1181no—
1299#124—1181no—
1300#124—1181no—
1301#124—1181no—
1302#124—1181no—
1303#124C22×D5911yescharacteristic
1304#123—21no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312C22⋊Q8—591no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—1181no—
1316C22⋊Q8—1181no—
1317C22⋊Q8C22×D5911yescharacteristic
1318#121—21no—
1319#121—21no—
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—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
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#121C22×D5911yescharacteristic
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—21no—
1367#120—1181no—
1368#120—1181no—
1369#120—1181no—
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×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—1181no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4C22×D5911yescharacteristic
1404C4×D4C22×D5911yescharacteristic
1405C4×D4C22×D5911yescharacteristic
1406#117—591no—
1407#117—591no—
1408#117—591no—
1409#117—591no—
1410#117—1181no—
1411#117—1181no—
1412#117—1181no—
1413#117—1181no—
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—1181no—
1416C2×C4⋊C4—1181no—
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C42—591no—
1423#107—591no—
1424#107—591no—
1425#107—591no—
1426#107—591no—
1427#106—591no—
1428#106—591no—
1429#106—591no—
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#103C22×D5911yescharacteristic
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#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
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—21no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492#41—22no—
1493#41—41no—
1494#41—1182no—
1495#41—1182no—
1496#41—1182no—
1497#41—4722no—
1498#41—4722no—
1499#41—2361no—
1500#41—2361no—
1501#41—2361no—
1502#41—2361no—
1503#41—2361no—
1504#41—2364no—
1505#41—2361no—
1506#41—2361no—
1507#41—2361no—
1508#41—2361no—
1509#41—2361no—
1510#41—2361no—
1511#41—2364no—
1512C2×Q8—591no—
1513C2×Q8—591no—
1514C2×Q8—591no—
1515C2×Q8—1181no—
1516C2×Q8—1181no—
1517C2×Q8C23×D5911yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—82no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—591no—
1539C2×D4—591no—
1540C2×D4—591no—
1541C2×D4—591no—
1542C2×D4—591no—
1543C2×D4—591no—
1544C2×D4—591no—
1545C2×D4—591no—
1546C2×D4—1182no—
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—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1182no—
1561C2×D4—1182no—
1562C2×D4—1182no—
1563C2×D4—1182no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—4722no—
1580C2×D4—4722no—
1581C2×D4—4722no—
1582C2×D4—4722no—
1583C2×D4—4722no—
1584C2×D4—2361no—
1585C2×D4—2364no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4—2364no—
1597C2×D4D4×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C2×D4C23×D5911yescharacteristic
1601C2×D4C23×D5911yescharacteristic
1602C2×D4C23×D5911yescharacteristic
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—591no—
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—1181no—
1622C22×C4—1181no—
1623C22×C4—4722no—
1624C22×C4C23×D5911yescharacteristic
1625C22×C4C23×D5911yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—41no—
1629SD16—2361no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—1182no—
1641D8—1182no—
1642D8—1182no—
1643D8—1182no—
1644D8—1182no—
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—591no—
1668C4⋊C4—591no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—1181no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4D4×D5911yescharacteristic
1683C4⋊C4C23×D5911yescharacteristic
1684C4⋊C4C23×D5911yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—591no—
1694C22⋊C4—591no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1728C22⋊C4D4×D5911yescharacteristic
1729C42—591no—
1730C42—591no—
1731C42—591no—
1732C42—1181no—
1733C42—1181no—
1734C42—1181no—
1735C42—1181no—
1736C42C23×D5911yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—42no—
1743C23—81no—
1744C23—81no—
1745C23—81no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—591no—
1752C23—591no—
1753C23—591no—
1754C23—1184no—
1755C23—1181no—
1756C23—1181no—
1757C23—1181no—
1758C23—4721no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—4721no—
1768C23—4721no—
1769C23—4721no—
1770C23—4721no—
1771C23—4721no—
1772C23—2362no—
1773C23—2362no—
1774C23—2362no—
1775C23C2×D4×D5911yescharacteristic
1776C23C2×D4×D5911yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—1181no—
1780Q8—1181no—
1781Q8—4721no—
1782Q8—4721no—
1783Q8—2361no—
1784Q8—2361no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—41no—
1795D4—42no—
1796D4—42no—
1797D4—42no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—592no—
1805D4—1182no—
1806D4—1182no—
1807D4—1184no—
1808D4—1181no—
1809D4—1181no—
1810D4—1181no—
1811D4—1181no—
1812D4—1181no—
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—4721no—
1830D4—2361no—
1831D4—2361no—
1832D4—2361no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2361no—
1839D4—2361no—
1840D4—2361no—
1841D4—2361no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847D4#1427377212yes—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—42no—
1856C2×C4—42no—
1857C2×C4—81no—
1858C2×C4—591no—
1859C2×C4—591no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—1182no—
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—1181no—
1874C2×C4—1181no—
1875C2×C4—4721no—
1876C2×C4—4721no—
1877C2×C4—2361no—
1878C2×C4—2362no—
1879C2×C4—2362no—
1880C2×C4—2362no—
1881C2×C4—2362no—
1882C2×C4—2362no—
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—22no—
1904C22—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—162no—
1923C22—162no—
1924C22—162no—
1925C22—1181no—
1926C22—1181no—
1927C22—1181no—
1928C22—1182no—
1929C22—1181no—
1930C22—1181no—
1931C22—1181no—
1932C22—1181no—
1933C22—1181no—
1934C22—1181no—
1935C22—9442no—
1936C22—9442no—
1937C22—9442no—
1938C22—9442no—
1939C22—9442no—
1940C22—4724no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—592no—
1958C4—1181no—
1959C4—1181no—
1960C4—1181no—
1961C4—1181no—
1962C4—2361no—
1963C4—2361no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4H(5,𝔽2)×D5911yescharacteristic
1968C4C2×#1427377211yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—81no—
1976C2—4721no—
1977C2—4721no—
1978C2—2361no—
1979C2—2361no—
1980C2—2361no—
1981C2—2362no—
1982C2#2143772411yescharacteristic
1983C2#576×D5911yescharacteristic
1984C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61679
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21438498C2semidirect
2. #21437856C2semidirect
3. #21436333C2semidirect
4. #21436331C2semidirect
5. #21436259C2semidirect
6. #21436257C2semidirect
7. #21436254C2semidirect
8. #21436252C2semidirect
9. #21436019C2semidirect
10. #21436017C2semidirect
11. D8×C22⋊D59C2semidirect
12. #21435766C2semidirect
13. #21435694C2semidirect
14. #21435690C2semidirect
15. #21435575C2semidirect
16. #21435572C2semidirect
17. #21435571C2semidirect
18. #21435086C2semidirect
19. #21435028C2semidirect
20. #21434952C2semidirect
21. #21434951C2semidirect
22. #21434944C2semidirect
23. #21434943C2semidirect
24. #21434185C2semidirect
25. #21434095C2semidirect
26. #21433363C2semidirect
27. #21433361C2semidirect
28. #21433360C2semidirect
29. #21433359C2semidirect
30. #21433168C2semidirect
31. C59×#3264C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273751C22semidirect
37. C22×#11745669C22semidirect
38. C2×D8×D59C22semidirect
39. C2×D8×D59C22semidirect
42. #16838117C22semidirect
43. #16838117C22semidirect
45. #16838116C22semidirect
46. #16838116C22semidirect
47. #16838054C22semidirect
48. #16838051C22semidirect
50. #16838048C22semidirect
51. #16838047C22semidirect
52. #16838045C22semidirect
55. #16838037C22semidirect
56. #16838036C22semidirect
58. D4×C22⋊D59C22semidirect
59. D4×C22⋊D59C22semidirect
60. D4×C22⋊D59C22semidirect
62. #16837982C22semidirect
63. #16837981C22semidirect
65. #16837969C22semidirect
66. #16837969C22semidirect
68. #16837968C22semidirect
69. #16837968C22semidirect
74. #16837951C22semidirect
75. #16837950C22semidirect
77. #16837949C22semidirect
80. C4×D4×D59C22semidirect
81. #16837789C22semidirect
82. #16837777C22semidirect
83. #16837773C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837751C22semidirect
87. #16837747C22semidirect
88. #16837746C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837740C22semidirect
92. #16837728C22semidirect
93. #16837727C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837722C22semidirect
97. #16837719C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837691C22semidirect
101. #16837690C22semidirect
102. #16837683C22semidirect
103. #16837682C22semidirect
104. #16837654C22semidirect
105. #16837653C22semidirect
106. #16837652C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837647C22semidirect
110. #16837645C22semidirect
111. #16837638C22semidirect
112. #16837637C22semidirect
113. #16837636C22semidirect
114. #16837635C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837618C22semidirect
119. #16837617C22semidirect
120. #16837614C22semidirect
121. #16837605C22semidirect
122. #16837605C22semidirect
123. #16837596C22semidirect
124. #16837595C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837554C22semidirect
129. #16837553C22semidirect
130. #16837551C22semidirect
131. #16837550C22semidirect
132. #16837549C22semidirect
133. #16837548C22semidirect
134. #16837547C22semidirect
135. #16837546C22semidirect
136. #16837546C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837546C22semidirect
140. #16837545C22semidirect
141. #16837544C22semidirect
142. #16837544C22semidirect
143. #16837544C22semidirect
144. #16837544C22semidirect
145. #16837544C22semidirect
146. #16837538C22semidirect
147. #16837537C22semidirect
148. #16837537C22semidirect
149. #16837536C22semidirect
150. #16837536C22semidirect
151. #16837535C22semidirect
152. #16837534C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. D8×Dic59C22semidirect
164. D8×Dic59C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837405C22semidirect
179. #16837405C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
994. #3264D59semidirect
1029. C2×AGL(1,ℤ/8)C2×D59semidirect
1033. C22×D8C2×D59semidirect
1049. #546C2×D59semidirect
1057. D42C2×D59semidirect
1078. #496C2×D59semidirect
1104. #469C2×D59semidirect
1116. #465C2×D59semidirect
1120. #463C2×D59semidirect
1128. #459C2×D59semidirect
1132. #450C2×D59semidirect
1148. #449C2×D59semidirect
1163. #447C2×D59semidirect
1164. #447C2×D59semidirect
1168. #442C2×D59semidirect
1178. #435C2×D59semidirect
1195. C59#61679semidirect

Maximal subgroups

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

subgroupindex
#214384982
#214378562
#214363332
#214363312
#214362592
#214362572
#214362542
#214362522
#214360192
#214360172
D8×C22⋊D592
#214357662
#214356942
#214356902
#214355752
#214355722
#214355712
#214350862
#214350282
#214349522
#214349512
#214349442
#214349432
#214341852
#214340952
#214333632
#214333612
#214333602
#214333592
#214331682
C59×#32642
#6167959