Finite Group Databasebeta

← #29475736

Subgroups — #29475736

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#21438497C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic, complemented
3#21436336C211yesmaximal, characteristic, complemented
4#21436334C211yesmaximal, characteristic, complemented
5#21436251C211yesmaximal, characteristic, complemented
6#21436249C211yesmaximal, characteristic, complemented
7#21436246C211yesmaximal, characteristic, complemented
8#21436022C211yesmaximal, characteristic, complemented
9#21436020C211yesmaximal, characteristic, complemented
10#21435770C211yesmaximal, characteristic, complemented
11#21435766C211yesmaximal, characteristic, complemented
12#21435693C211yesmaximal, characteristic, complemented
13#21435689C211yesmaximal, characteristic, complemented
14#21435582C211yesmaximal, characteristic, complemented
15#21435581C211yesmaximal, characteristic, complemented
16#21435578C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21435092C211yesmaximal, characteristic, complemented
19#21435028C211yesmaximal, characteristic, complemented
20#21434954C211yesmaximal, characteristic, complemented
21#21434949C211yesmaximal, characteristic, complemented
22#21434946C211yesmaximal, characteristic, complemented
23#21434941C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434098C211yesmaximal, characteristic, complemented
26#21433367C211yesmaximal, characteristic, complemented
27#21433365C211yesmaximal, characteristic, complemented
28#21433361C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C22×D472C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic, complemented
40C2×D8×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838144—21no—
43#16838144—21no—
44#16838118C2211yescharacteristic, complemented
45#16838115—21no—
46#16838115C2211yescharacteristic, complemented
47#16838115C2211yescharacteristic, complemented
48#16838054C2211yescharacteristic, complemented
49#16838051C2211yescharacteristic, complemented
50#16838050—21no—
51#16838048C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic, complemented
53#16838045C2211yescharacteristic, complemented
54#16838042—21no—
55#16838041—21no—
56D4×D236C2211yescharacteristic, complemented
57D4×D236C2211yescharacteristic, complemented
58#16838036—21no—
59#16838036C2211yescharacteristic, complemented
60#16838036C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16837982C2211yescharacteristic, complemented
65#16837981C2211yescharacteristic, complemented
66#16837971—21no—
67#16837971C2211yescharacteristic, complemented
68#16837971C2211yescharacteristic, complemented
69#16837970—21no—
70#16837970—21no—
71#16837968—21no—
72#16837968C2211yescharacteristic, complemented
73#16837968C2211yescharacteristic, complemented
74#16837963—21no—
75#16837962—21no—
76#16837953C2211yescharacteristic, complemented
77#16837951C2211yescharacteristic, complemented
78#16837949C2211yescharacteristic
79#16837949C2211yescharacteristic, complemented
80C2×#14273700—21no—
81#121×D59—21no—
82C4×D4×D59C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic, complemented
120#16837606C2211yescharacteristic, complemented
121#16837606C2211yescharacteristic, complemented
122#16837598C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837546C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837538C2211yescharacteristic, complemented
148#16837538C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
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×D59—21no—
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59—21no—
239#14273755—42no—
240#14273754—42no—
241#14273752—42no—
242#14273751—42no—
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×D472—42no—
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669—42no—
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745669C2311yescharacteristic
266D8×D59—42no—
267D8×D59—42no—
268C2×#11745664C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×#11745659C2311yescharacteristic
271C22×C59⋊C8C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273C2×C8×D59C2311yescharacteristic
274#14273726D411yescharacteristic
275#14273726C2311yescharacteristic
276#14273725C2311yescharacteristic
277#14273724—21no—
278#14273724—21no—
279#14273724C2311yescharacteristic
280#14273723—21no—
281#14273723—21no—
282#14273723D411yescharacteristic
283#14273723C2311yescharacteristic
284#14273723C2311yescharacteristic
285#14273716—21no—
286#14273716—21no—
287#14273716—21no—
288#14273715—21no—
289#14273715—21no—
290#14273715—21no—
291#14273715—21no—
292#14273715C2311yescharacteristic
293#14273713—21no—
294#14273713—21no—
295#14273713—21no—
296#14273713—21no—
297#14273713—21no—
298#14273713D411yescharacteristic
299#14273713D411yescharacteristic
300#14273712—21no—
301#14273712—21no—
302#14273711—21no—
303#14273710—21no—
304#14273709—21no—
305#14273709—21no—
306#14273708—21no—
307#14273707C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273705—21no—
310#14273704—21no—
311#14273703C2311yescharacteristic
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702D411yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700D411yescharacteristic
345#14273700D411yescharacteristic
346#14273699—21no—
347#14273699—21no—
348#14273699—21no—
349#14273698—21no—
350#14273698D411yescharacteristic
351#14273698C2311yescharacteristic
352#14273698C2311yescharacteristic
353#14273697—21no—
354#14273697—21no—
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#14273697—21no—
366#14273697—21no—
367#14273697—21no—
368#14273696—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695—21no—
373#14273695—21no—
374#14273695—21no—
375#14273695—21no—
376C4×D236C2311yescharacteristic
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379D4×Dic59C2311yescharacteristic
380#14273689—21no—
381#14273689C2311yescharacteristic
382#14273689C2311yescharacteristic
383#14273689C2311yescharacteristic
384C4×C22⋊D59—21no—
385C4×C22⋊D59—21no—
386C4×C22⋊D59C2311yescharacteristic
387C4×C22⋊D59C2311yescharacteristic
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390(C22⋊D59)⋊C4—21no—
391#14273685—21no—
392#14273685C2311yescharacteristic
393#14273685C2311yescharacteristic
394#14273684—21no—
395#14273684—21no—
396C2×Dic59⋊C4—21no—
397C4⋊C4×D59—21no—
398C4⋊C4×D59C2311yescharacteristic
399C2×(C2×D59)⋊C4—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#124×C59—21no—
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×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—
491C23×D59—21no—
492C23×D59—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×C59—21no—
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—22no—
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×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—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—44no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548#11745689—22no—
549#11745689—41no—
550#11745689—41no—
551#11745689—41no—
552#11745689—82no—
553#11745687—22no—
554#11745687—41no—
555#11745687—41no—
556#11745687—41no—
557#11745687—44no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—22no—
561D4×D59—22no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—44no—
571D4×D59—82no—
572D4×D59—82no—
573D4×D59—82no—
574D4×D59—82no—
575#11745685—22no—
576#11745685—41no—
577#11745685—41no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—44no—
582#11745685—82no—
583C2×D236—22no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
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—41no—
600C2×D236—41no—
601C2×D236—41no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—44no—
605C2×D236—82no—
606C2×D236C2×D411yescharacteristic
607C2×D236C2×D411yescharacteristic
608C2×D236C2×D411yescharacteristic
609C2×D236C2411yescharacteristic
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—21no—
621C2×C4×D59—21no—
622C2×C4×D59—21no—
623C2×C4×D59—82no—
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2411yescharacteristic
627C2×C4×D59C2411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×Dic118—21no—
630C2×Dic118C2×D411yescharacteristic
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2411yescharacteristic
633SD16×C59—41no—
634D8×C59—22no—
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×C59C2×D411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C4⋊C4×C59C2411yescharacteristic
647C4⋊C4×C59C2411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C22⋊C4×C59—21no—
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×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59C2×D411yescharacteristic
660C22⋊C4×C59C2×D411yescharacteristic
661C42×C59—21no—
662C42×C59—21no—
663C42×C59C2411yescharacteristic
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59C2×D411yescharacteristic
669C22⋊Dic59C2×D411yescharacteristic
670#11745671—41no—
671#11745671—41no—
672#11745671—41no—
673#11745670—41no—
674#11745669—22no—
675#11745669—22no—
676#11745669—22no—
677#11745669—22no—
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)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707(C2×D59)⋊C4C2×D411yescharacteristic
708C4⋊Dic59—21no—
709C4⋊Dic59C2×D411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—22no—
732D472—22no—
733D472—22no—
734D472—41no—
735D472—41no—
736D472—41no—
737#11745660—41no—
738#11745660—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—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C22×D59—21no—
753C22×D59—24no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
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—
786Q8×C59—81no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—41no—
793D4×C59—42no—
794D4×C59—42no—
795D4×C59—81no—
796D4×C59—81no—
797D4×C59—81no—
798D4×C59H(5,𝔽2)12yes—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
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—42no—
809C2×C4×C59—42no—
810C2×C4×C59—81no—
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C22×D411yescharacteristic
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C2511yescharacteristic
816C22⋊D59—24no—
817C22⋊D59—22no—
818C22⋊D59—22no—
819C22⋊D59—41no—
820C22⋊D59—41no—
821C22⋊D59—41no—
822C22⋊D59—41no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—42no—
843C2×Dic59—42no—
844C2×Dic59—42no—
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—41no—
860D236—41no—
861D236—41no—
862D236—42no—
863D236—42no—
864D236—42no—
865D236—42no—
866D236—81no—
867D236—81no—
868D236—81no—
869D236—81no—
870D236—81no—
871D236—81no—
872D236—81no—
873D236—81no—
874D236—81no—
875D236—81no—
876D236—81no—
877D236H(5,𝔽2)12yes—
878C4×D59—21no—
879C4×D59—21no—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—22no—
885C4×D59—41no—
886C4×D59—42no—
887C4×D59—42no—
888C4×D59—42no—
889C4×D59—42no—
890C4×D59—42no—
891C4×D59—42no—
892C4×D59—42no—
893C4×D59—81no—
894C4×D59—81no—
895Dic118—21no—
896Dic118—21no—
897Dic118—41no—
898Dic118—41no—
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—162no—
925C22×C59C23×D411yescharacteristic
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—22no—
933C2×D59—21no—
934C2×D59—21no—
935C2×D59—21no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
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—84no—
951C2×D59—162no—
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×C59—41no—
967C4×C59C2×H(5,𝔽2)11yescharacteristic
968C4×C59C2×H(5,𝔽2)11yescharacteristic
969Dic59—21no—
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
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#3319D5911yescharacteristic, complemented
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#3264—591no—
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#348411yescharacteristic
1014C2×C59C2×#57611yescharacteristic
1015C2×C59#358511yescharacteristic
1016D59—41no—
1017D59—41no—
1018D59—41no—
1019D59—42no—
1020D59—81no—
1021D59—81no—
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)—591no—
1030C22×D8—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8—591no—
1034H(3,𝔽4)—1181no—
1035H(3,𝔽4)—1181no—
1036#555—591no—
1037#555—591no—
1038#555—591no—
1039#555—1181no—
1040#555C2×D5911yescharacteristic, complemented
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—591no—
1056D42—1181no—
1057D42—1181no—
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#496—591no—
1079#493—591no—
1080#492—591no—
1081#489—591no—
1082#489C2×D5911yescharacteristic, complemented
1083#487—591no—
1084#486—591no—
1085#485—591no—
1086#485—591no—
1087#485—591no—
1088#485C2×D5911yescharacteristic, complemented
1089#482—591no—
1090#482—591no—
1091#482—591no—
1092#482C2×D5911yescharacteristic, complemented
1093#481—591no—
1094#481—591no—
1095#480—591no—
1096#480—591no—
1097#476—591no—
1098#476—591no—
1099#474—591no—
1100#474C2×D5911yescharacteristic, complemented
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#468—591no—
1106#468—591no—
1107#468—591no—
1108#468C2×D5911yescharacteristic, complemented
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466C2×D5911yescharacteristic, complemented
1113#465—591no—
1114#465—591no—
1115#465—591no—
1116#465—591no—
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#459—591no—
1129#450—591no—
1130#450—591no—
1131#450—591no—
1132#450—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#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#447—591no—
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#418C2×D5911yescharacteristic, complemented
1187#416—591no—
1188#416—591no—
1189#416—591no—
1190#416C2×D5911yescharacteristic, complemented
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—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—591no—
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×D4—1181no—
1231C22×D4—1181no—
1232C22×D4C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
1246C2×D8—591no—
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×D8—2362no—
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⋊Q8C22×D5911yescharacteristic
1278#127—591no—
1279#127—591no—
1280#127—591no—
1281#127—591no—
1282#127—1181no—
1283#127—1181no—
1284#127—1181no—
1285#127—1181no—
1286#124—21no—
1287#124—21no—
1288#124—591no—
1289#124—591no—
1290#124—591no—
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—1181no—
1366#120—1181no—
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—21no—
1407#117—591no—
1408#117—591no—
1409#117—1181no—
1410#117—1181no—
1411#117—1181no—
1412#117C22×D5911yescharacteristic
1413#117C22×D5911yescharacteristic
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#107C22×D5911yescharacteristic
1426#107C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1441#103C22×D5911yescharacteristic
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#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—1181no—
1485C24—1181no—
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—21no—
1513C2×Q8—591no—
1514C2×Q8—591no—
1515C2×Q8—591no—
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—41no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
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—591no—
1539C2×D4—1182no—
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—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1182no—
1560C2×D4—1182no—
1561C2×D4—1182no—
1562C2×D4—1182no—
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—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—4722no—
1577C2×D4—4722no—
1578C2×D4—4722no—
1579C2×D4—4722no—
1580C2×D4—4722no—
1581C2×D4—4722no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2364no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4—2364no—
1597C2×D4—2364no—
1598C2×D4—2364no—
1599C2×D4D4×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—2361no—
1628SD16—2361no—
1629SD16—2361no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—41no—
1636D8—1182no—
1637D8—1182no—
1638D8—1182no—
1639D8—1182no—
1640D8—1182no—
1641D8—1182no—
1642D8—1182no—
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—591no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—1181no—
1674C4⋊C4—1181no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4D4×D5911yescharacteristic
1681C4⋊C4C23×D5911yescharacteristic
1682C4⋊C4C23×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—21no—
1694C22⋊C4—21no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
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—21no—
1730C42—21no—
1731C42—591no—
1732C42—591no—
1733C42—591no—
1734C42—1181no—
1735C42—1181no—
1736C42C23×D5911yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—42no—
1741C23—81no—
1742C23—81no—
1743C23—591no—
1744C23—591no—
1745C23—591no—
1746C23—1184no—
1747C23—1181no—
1748C23—1181no—
1749C23—1181no—
1750C23—1181no—
1751C23—1181no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
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—4721no—
1770C23—4721no—
1771C23—4721no—
1772C23—2362no—
1773C23—2362no—
1774C23—2362no—
1775C23C2×D4×D5911yescharacteristic
1776C23C2×D4×D5911yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—81no—
1780Q8—1181no—
1781Q8—1181no—
1782Q8—4721no—
1783Q8—2361no—
1784Q8—2361no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—41no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—592no—
1797D4—1182no—
1798D4—1182no—
1799D4—1184no—
1800D4—1181no—
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—2361no—
1832D4—2362no—
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#1427377312yes—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—42no—
1858C2×C4—42no—
1859C2×C4—81no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—1182no—
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—162no—
1917C22—1181no—
1918C22—1181no—
1919C22—1181no—
1920C22—1182no—
1921C22—1181no—
1922C22—1181no—
1923C22—1181no—
1924C22—1181no—
1925C22—1181no—
1926C22—1181no—
1927C22—9442no—
1928C22—9442no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—9442no—
1933C22—9442no—
1934C22—4724no—
1935C22—2361no—
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—2361no—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—592no—
1960C4—1181no—
1961C4—1181no—
1962C4—1181no—
1963C4—1181no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4H(5,𝔽2)×D5911yescharacteristic
1968C4C2×#1427377311yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—4721no—
1975C2—4721no—
1976C2—4721no—
1977C2—4721no—
1978C2—2361no—
1979C2—2361no—
1980C2—2361no—
1981C2—2362no—
1982C2#2143772611yescharacteristic
1983C2#576×D5911yescharacteristic
1984C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#61679
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21438497C2semidirect
2. #21437856C2semidirect
3. #21436336C2semidirect
4. #21436334C2semidirect
5. #21436251C2semidirect
6. #21436249C2semidirect
7. #21436246C2semidirect
8. #21436022C2semidirect
9. #21436020C2semidirect
10. #21435770C2semidirect
11. #21435766C2semidirect
12. #21435693C2semidirect
13. #21435689C2semidirect
14. #21435582C2semidirect
15. #21435581C2semidirect
16. #21435578C2semidirect
17. #21435577C2semidirect
18. #21435092C2semidirect
19. #21435028C2semidirect
20. #21434954C2semidirect
21. #21434949C2semidirect
22. #21434946C2semidirect
23. #21434941C2semidirect
24. #21434185C2semidirect
25. #21434098C2semidirect
26. #21433367C2semidirect
27. #21433365C2semidirect
28. #21433361C2semidirect
29. #21433359C2semidirect
30. #21433168C2semidirect
31. C59×#3319C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C22×D472C22semidirect
39. C22×#11745669C22semidirect
40. C2×D8×D59C22semidirect
41. C2×D8×D59C22semidirect
44. #16838118C22semidirect
46. #16838115C22semidirect
47. #16838115C22semidirect
48. #16838054C22semidirect
49. #16838051C22semidirect
51. #16838048C22semidirect
52. #16838047C22semidirect
53. #16838045C22semidirect
56. D4×D236C22semidirect
57. D4×D236C22semidirect
59. #16838036C22semidirect
60. #16838036C22semidirect
61. #16838036C22semidirect
62. D4×C22⋊D59C22semidirect
64. #16837982C22semidirect
65. #16837981C22semidirect
67. #16837971C22semidirect
68. #16837971C22semidirect
72. #16837968C22semidirect
73. #16837968C22semidirect
76. #16837953C22semidirect
77. #16837951C22semidirect
79. #16837949C22semidirect
82. C4×D4×D59C22semidirect
83. #16837792C22semidirect
84. #16837791C22semidirect
85. #16837777C22semidirect
86. #16837773C22semidirect
87. #16837764C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837745C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
93. #16837729C22semidirect
94. #16837726C22semidirect
95. #16837725C22semidirect
96. #16837722C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837717C22semidirect
100. #16837691C22semidirect
101. #16837690C22semidirect
102. #16837679C22semidirect
103. #16837656C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837651C22semidirect
108. #16837649C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837634C22semidirect
114. #16837633C22semidirect
115. #16837632C22semidirect
116. #16837631C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837614C22semidirect
120. #16837606C22semidirect
121. #16837606C22semidirect
122. #16837598C22semidirect
123. #16837597C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837595C22semidirect
128. #16837555C22semidirect
129. #16837554C22semidirect
130. #16837552C22semidirect
131. #16837551C22semidirect
132. #16837550C22semidirect
133. #16837550C22semidirect
134. #16837550C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837549C22semidirect
138. #16837548C22semidirect
139. #16837548C22semidirect
140. #16837548C22semidirect
141. #16837548C22semidirect
142. #16837548C22semidirect
143. #16837547C22semidirect
144. #16837546C22semidirect
145. #16837545C22semidirect
146. #16837544C22semidirect
147. #16837538C22semidirect
148. #16837538C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837484C22semidirect
166. #16837484C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837397C22semidirect
182. #16837396C22semidirect
183. #16837395C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#555C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
984. #3319D59semidirect
1040. #555C2×D59semidirect
1049. #546C2×D59semidirect
1082. #489C2×D59semidirect
1088. #485C2×D59semidirect
1092. #482C2×D59semidirect
1100. #474C2×D59semidirect
1108. #468C2×D59semidirect
1112. #466C2×D59semidirect
1120. #463C2×D59semidirect
1148. #449C2×D59semidirect
1164. #447C2×D59semidirect
1168. #442C2×D59semidirect
1178. #435C2×D59semidirect
1186. #418C2×D59semidirect
1190. #416C2×D59semidirect
1195. C59#61679semidirect

Maximal subgroups

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

subgroupindex
#214384972
#214378562
#214363362
#214363342
#214362512
#214362492
#214362462
#214360222
#214360202
#214357702
#214357662
#214356932
#214356892
#214355822
#214355812
#214355782
#214355772
#214350922
#214350282
#214349542
#214349492
#214349462
#214349412
#214341852
#214340982
#214333672
#214333652
#214333612
#214333592
#214331682
C59×#33192
#6167959