Finite Group Databasebeta

← #29475892

Subgroups — #29475892

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1984 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438467C211yesmaximal, characteristic, complemented
2#21437873C211yesmaximal, characteristic, complemented
3#21436419C211yesmaximal, characteristic, complemented
4#21436325C211yesmaximal, characteristic, complemented
5#21436236C211yesmaximal, characteristic, complemented
6#21436231C211yesmaximal, characteristic, complemented
7#21436099C211yesmaximal, characteristic, complemented
8#21436031C211yesmaximal, characteristic, complemented
9#21435907C211yesmaximal, characteristic, complemented
10#21435849C211yesmaximal, characteristic, complemented
11#21435770C211yesmaximal, characteristic, complemented
12#21435713C211yesmaximal, characteristic, complemented
13#21435709C211yesmaximal, characteristic, complemented
14#21435638C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435115C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434960C211yesmaximal, characteristic, complemented
21#21434958C211yesmaximal, characteristic, complemented
22#21434955C211yesmaximal, characteristic, complemented
23#21434941C211yesmaximal, characteristic, complemented
24#21434245C211yesmaximal, characteristic, complemented
25#21434121C211yesmaximal, characteristic, complemented
26#21433402C211yesmaximal, characteristic, complemented
27#21433398C211yesmaximal, characteristic, complemented
28#21433367C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3309C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×D472C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838143—21no—
43#16838140—21no—
44#16838120C2211yescharacteristic, complemented
45#16838105C2211yescharacteristic, complemented
46#16838074C2211yescharacteristic, complemented
47#16838073—21no—
48#16838071C2211yescharacteristic
49#16838071C2211yescharacteristic, complemented
50#16838070C2211yescharacteristic, complemented
51#16838053C2211yescharacteristic, complemented
52#16838048C2211yescharacteristic, complemented
53#16838047C2211yescharacteristic, complemented
54#16838044—21no—
55D4×D236—21no—
56D4×D236C2211yescharacteristic, complemented
57#16838037—21no—
58#16838037C2211yescharacteristic, complemented
59#16838036—21no—
60#16838036—21no—
61#16838036C2211yescharacteristic
62#16838036C2211yescharacteristic, complemented
63#16838036C2211yescharacteristic, complemented
64#16838018—21no—
65#16837988—21no—
66#16837985—21no—
67#16837983C2211yescharacteristic, complemented
68#16837981C2211yescharacteristic, complemented
69#16837971C2211yescharacteristic, complemented
70#16837968—21no—
71#16837968—21no—
72#16837968—21no—
73#16837968C2211yescharacteristic, complemented
74#16837968C2211yescharacteristic, complemented
75#16837968C2211yescharacteristic, complemented
76#16837949—21no—
77#16837949C2211yescharacteristic
78#16837949C2211yescharacteristic, complemented
79#127×D59—21no—
80#127×D59C2211yescharacteristic, complemented
81#16837937C2211yescharacteristic, complemented
82C4×#11745689C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837685C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837601C2211yescharacteristic, complemented
120#16837601C2211yescharacteristic, complemented
121#16837600C2211yescharacteristic, complemented
122#16837598C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837538C2211yescharacteristic, complemented
147#16837538C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, 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#16837402C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×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×D59—21no—
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239#14273755—42no—
240#14273754—42no—
241#14273752—42no—
242#14273751—42no—
243#14273748—42no—
244#14273747—42no—
245C2×#11745672C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472—42no—
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745669C2311yescharacteristic
266C2×#11745669C2311yescharacteristic
267D8×D59—42no—
268C2×#11745664C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×#11745659C2311yescharacteristic
271C22×C59⋊C8C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273C2×C8×D59C2311yescharacteristic
274#14273726D411yescharacteristic
275#14273726C2311yescharacteristic
276#14273724—21no—
277#14273724—21no—
278#14273724C2311yescharacteristic
279#14273723—21no—
280#14273723—21no—
281#14273723—21no—
282#14273723—21no—
283#14273723—21no—
284#14273723—21no—
285#14273723—21no—
286#14273723—21no—
287#14273723D411yescharacteristic
288#14273723C2311yescharacteristic
289#14273723C2311yescharacteristic
290#14273723C2311yescharacteristic
291#14273722—21no—
292#14273722—21no—
293#14273721—21no—
294#14273720—21no—
295#14273715—21no—
296#14273715C2311yescharacteristic
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273713—21no—
301#14273713—21no—
302#14273713D411yescharacteristic
303#14273713D411yescharacteristic
304#14273712—21no—
305#14273712—21no—
306#14273712—21no—
307#14273712—21no—
308#14273711—21no—
309#14273710—21no—
310#14273707—21no—
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273705—21no—
315#14273704—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702D411yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273701—21no—
330#14273701—21no—
331#14273701—21no—
332#14273701—21no—
333#14273701—21no—
334#14273701C2311yescharacteristic
335#14273701C2311yescharacteristic
336#14273701C2311yescharacteristic
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#14273698—21no—
349#14273698—21no—
350#14273698—21no—
351#14273698—21no—
352#14273698D411yescharacteristic
353#14273698C2311yescharacteristic
354#14273698C2311yescharacteristic
355#14273698C2311yescharacteristic
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#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695—21no—
373#14273695—21no—
374#14273695—21no—
375#14273695—21no—
376Q8×Dic59C2311yescharacteristic
377C4×Dic118—21no—
378#14273692C2311yescharacteristic
379C4×D236—21no—
380C4×D236—21no—
381C4×D236C2311yescharacteristic
382C4×D236C2311yescharacteristic
383C4×D236C2311yescharacteristic
384#14273689—21no—
385#14273689—21no—
386#14273689—21no—
387#14273689C2311yescharacteristic
388#14273689C2311yescharacteristic
389C4×C22⋊D59—21no—
390C4×C22⋊D59—21no—
391C4×C22⋊D59—21no—
392C4×C22⋊D59C2311yescharacteristic
393C4×C22⋊D59C2311yescharacteristic
394(C22⋊D59)⋊C4—21no—
395#14273685—21no—
396#14273685—21no—
397#14273685C2311yescharacteristic
398#14273685C2311yescharacteristic
399C4⋊C4×D59C2311yescharacteristic
400C2×(C2×D59)⋊C4—21no—
401C22⋊C4×D59—21no—
402C42×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#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
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
448C2×#41×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59—21no—
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459#121×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
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
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—41no—
502C2×Q8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
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—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C22×Dic59—21no—
547#11745689—22no—
548#11745689—22no—
549#11745689—22no—
550#11745689—22no—
551#11745689—41no—
552#11745689—41no—
553#11745687—41no—
554#11745687—41no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—44no—
568D4×D59—44no—
569D4×D59—82no—
570D4×D59—82no—
571D4×D59—82no—
572D4×D59—82no—
573D4×D59—82no—
574D4×D59—82no—
575D4×D59—82no—
576#11745685—41no—
577#11745685—41no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—41no—
582#11745685—44no—
583#11745685—44no—
584#11745685—82no—
585#11745685—82no—
586C2×D236—21no—
587C2×D236—22no—
588C2×D236—22no—
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—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—41no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236—41no—
607C2×D236—44no—
608C2×D236—44no—
609C2×D236C2×D411yescharacteristic
610C2×D236C2×D411yescharacteristic
611C2×D236C2×D411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×D236C2411yescharacteristic
615C2×D236C2411yescharacteristic
616C2×D236C2411yescharacteristic
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—21no—
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×C4×D59C2411yescharacteristic
631C2×Dic118—21no—
632C2×Dic118C2×D411yescharacteristic
633C2×Dic118C2×D411yescharacteristic
634C2×Dic118C2411yescharacteristic
635SD16×C59—22no—
636D8×C59—41no—
637D8×C59—41no—
638M16×C59—41no—
639C2×C8×C59—41no—
640C2×C8×C59C2411yescharacteristic
641C2×C8×C59C2411yescharacteristic
642C2×C8×C59C2411yescharacteristic
643C2×C8×C59C2411yescharacteristic
644C4⋊C4×C59—21no—
645C4⋊C4×C59—21no—
646C4⋊C4×C59—21no—
647C4⋊C4×C59—21no—
648C4⋊C4×C59C2×D411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C4⋊C4×C59C2411yescharacteristic
651C4⋊C4×C59C2411yescharacteristic
652C4⋊C4×C59C2411yescharacteristic
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#11745672—22no—
671#11745671—22no—
672#11745671—22no—
673#11745670—41no—
674#11745670—41no—
675#11745669—22no—
676#11745669—41no—
677#11745669—41no—
678#11745669—41no—
679#11745669—41no—
680#11745669—41no—
681#11745669—41no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706C4⋊Dic59—21no—
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59C2×D411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
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—41no—
734D472—41no—
735D472—41no—
736D472—41no—
737#11745660—22no—
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×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
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×D59C22×D411yescharacteristic
779C22×D59C22×D411yescharacteristic
780C22×D59C22×D411yescharacteristic
781Q8×C59—21no—
782Q8×C59H(5,𝔽2)12yes—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—41no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—42no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59—81no—
797D4×C59—81no—
798C2×C4×C59—21no—
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—42no—
808C2×C4×C59—42no—
809C2×C4×C59—81no—
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—22no—
817C22⋊D59—22no—
818C22⋊D59—41no—
819C22⋊D59—41no—
820C22⋊D59—41no—
821C22⋊D59—41no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—81no—
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—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—81no—
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850D236—24no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—41no—
861D236—41no—
862D236—41no—
863D236—42no—
864D236—42no—
865D236—42no—
866D236—42no—
867D236—42no—
868D236—81no—
869D236—81no—
870D236—81no—
871D236—81no—
872D236—81no—
873D236—81no—
874D236—81no—
875D236—81no—
876D236—81no—
877D236H(5,𝔽2)12yes—
878C4×D59—24no—
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—
894C4×D59—81no—
895Dic118—21no—
896Dic118—21no—
897Dic118—41no—
898Dic118—41no—
899Dic118—42no—
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#61688—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—21no—
913C22×C59—21no—
914C22×C59—21no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59C23×D411yescharacteristic
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—22no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—21no—
934C2×D59—21no—
935C2×D59—41no—
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—162no—
950C2×D59—162no—
951C2×D59—162no—
952C2×D59—162no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C4×C59—21no—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—22no—
961C4×C59—21no—
962C4×C59—41no—
963C4×C59—41no—
964C4×C59—41no—
965C4×C59—41no—
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967C4×C59C2×H(5,𝔽2)11yescharacteristic
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—21no—
972Dic59—41no—
973Dic59—41no—
974Dic59—41no—
975Dic59#57612yes—
976#3546—591no—
977#3498—591no—
978#3332—591no—
979#3324—591no—
980#3318—591no—
981#3318—591no—
982#3309—591no—
983#3309D5911yescharacteristic, complemented
984#3304—591no—
985#3294—591no—
986#3287—591no—
987D4×D8—591no—
988#3274—591no—
989#3274—591no—
990#3268—591no—
991#3268—591no—
992#3264—591no—
993#3264—591no—
994#3217—591no—
995#3205—591no—
996#3199—591no—
997#3199—591no—
998#3198—591no—
999#3198—591no—
1000#3115—591no—
1001#3102—591no—
1002#3012—591no—
1003#3012—591no—
1004#3008—591no—
1005#3008—591no—
1006#2981—591no—
1007C2×C59—41no—
1008C2×C59—41no—
1009C2×C59—81no—
1010C2×C59—81no—
1011C2×C59—81no—
1012C2×C59#348411yescharacteristic
1013C2×C59C2×#57611yescharacteristic
1014C2×C59#358511yescharacteristic
1015D59—41no—
1016D59—41no—
1017D59—41no—
1018D59—42no—
1019D59—81no—
1020D59—81no—
1021D59—81no—
1022D59—81no—
1023C2×H(5,𝔽2)—591no—
1024C2×H(5,𝔽2)—591no—
1025C2×AGL(1,ℤ/8)—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×#135—591no—
1030C2×#135—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033#560—1181no—
1034#560—1181no—
1035#556—591no—
1036#553—591no—
1037#553C2×D5911yescharacteristic, complemented
1038#550—591no—
1039#550—591no—
1040#550—591no—
1041#550—591no—
1042#550—1181no—
1043#550C2×D5911yescharacteristic, complemented
1044#547—591no—
1045#546—591no—
1046#546—591no—
1047#546—1181no—
1048D42—591no—
1049D42—591no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—1181no—
1054D42—1181no—
1055D42—1181no—
1056D42—1181no—
1057#542—1181no—
1058#538—1181no—
1059#538—1181no—
1060#537—591no—
1061#537—591no—
1062#535—591no—
1063#535—591no—
1064#535—591no—
1065#535—591no—
1066#535—1181no—
1067#535—1181no—
1068#535—1181no—
1069#532—591no—
1070#532—591no—
1071#532—1181no—
1072C2×#127—591no—
1073C2×#127—1181no—
1074#529—591no—
1075C4×#41—591no—
1076#496—591no—
1077#496—591no—
1078#493—591no—
1079#493—591no—
1080#490—591no—
1081#490C2×D5911yescharacteristic, complemented
1082#486—591no—
1083#486—591no—
1084#485—591no—
1085#482—591no—
1086#482—591no—
1087#482—591no—
1088#482—591no—
1089#482—591no—
1090#482—591no—
1091#482C2×D5911yescharacteristic, complemented
1092#481—591no—
1093#481—591no—
1094#480—591no—
1095#480C2×D5911yescharacteristic, complemented
1096#479C2×D5911yescharacteristic, complemented
1097#478—591no—
1098#475—591no—
1099#474—591no—
1100#469—591no—
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#469C2×D5911yescharacteristic, complemented
1106#468—591no—
1107#468—591no—
1108#466—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#466C2×D5911yescharacteristic, complemented
1114#465—591no—
1115#465—591no—
1116#464—591no—
1117#463—591no—
1118#460—591no—
1119#460—591no—
1120#460—591no—
1121#459—591no—
1122#459—591no—
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459C2×D5911yescharacteristic, complemented
1128#452—591no—
1129#452—591no—
1130#452—591no—
1131#450—591no—
1132#450—591no—
1133#450—591no—
1134#450—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#449C2×D5911yescharacteristic, complemented
1147#449C2×D5911yescharacteristic, complemented
1148#447—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447—591no—
1159#447—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#442—591no—
1165#442—591no—
1166#440—591no—
1167#440C2×D5911yescharacteristic, complemented
1168C4×Q16—591no—
1169C4×SD16—591no—
1170C4×SD16—591no—
1171C4×D8—591no—
1172#436—591no—
1173#436—591no—
1174#435—591no—
1175#435—591no—
1176#435—591no—
1177#435C2×D5911yescharacteristic, complemented
1178C8×D4—591no—
1179C8×D4—591no—
1180#432—591no—
1181#431—591no—
1182#418—591no—
1183#418—591no—
1184#417—591no—
1185#417C2×D5911yescharacteristic, complemented
1186#416—591no—
1187#416C2×D5911yescharacteristic, complemented
1188C2×#102—591no—
1189C2×#102—591no—
1190#408—591no—
1191#408—591no—
1192#408—591no—
1193#408—591no—
1194C59#6168811yescharacteristic, complemented, Sylow
1195H(5,𝔽2)—2362no—
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198H(5,𝔽2)—2362no—
1199C2×#41—591no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41C22×D5911yescharacteristic
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×D4—1181no—
1233AGL(1,ℤ/8)—2362no—
1234AGL(1,ℤ/8)—2362no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237#135—2362no—
1238#135—2362no—
1239C2×Q16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16—591no—
1245C2×SD16—591no—
1246C2×SD16—591no—
1247C2×SD16C22×D5911yescharacteristic
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—591no—
1261C2×D8—2362no—
1262C2×D8—2362no—
1263C2×D8C22×D5911yescharacteristic
1264C2×D8C22×D5911yescharacteristic
1265C2×M16—591no—
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16C22×D5911yescharacteristic
1269C22×C8—591no—
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8C22×D5911yescharacteristic
1273C4⋊Q8—591no—
1274C4⋊Q8—591no—
1275#127—21no—
1276#127—591no—
1277#127—591no—
1278#127—591no—
1279#127—591no—
1280#127—591no—
1281#127—1181no—
1282#127—1181no—
1283#127—1181no—
1284#127—1181no—
1285#127—1181no—
1286#127—1181no—
1287#127—1181no—
1288#127—1181no—
1289#127—1181no—
1290#127—1181no—
1291#127C22×D5911yescharacteristic
1292#126—21no—
1293#126—1181no—
1294#126—1181no—
1295#126—1181no—
1296#126—1181no—
1297#125C22×D5911yescharacteristic
1298#124—591no—
1299#124—591no—
1300#124—591no—
1301#124—1181no—
1302#124—1181no—
1303#124—1181no—
1304#124—1181no—
1305#124—1181no—
1306#124—1181no—
1307#123—21no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312#123—1181no—
1313#123—1181no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—591no—
1317C22⋊Q8—1181no—
1318C22⋊Q8—1181no—
1319C22⋊Q8—1181no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
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—591no—
1338#121—591no—
1339#121—591no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121—1181no—
1363#121C22×D5911yescharacteristic
1364#121C22×D5911yescharacteristic
1365#121C22×D5911yescharacteristic
1366#121C22×D5911yescharacteristic
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—
1387C4×Q8—591no—
1388C4×Q8—591no—
1389C4×Q8—1181no—
1390C4×Q8C22×D5911yescharacteristic
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4—1181no—
1408C4×D4—1181no—
1409C4×D4C22×D5911yescharacteristic
1410C4×D4C22×D5911yescharacteristic
1411#117—591no—
1412#117—591no—
1413#117—1181no—
1414#117—1181no—
1415#117C22×D5911yescharacteristic
1416C2×C4⋊C4—591no—
1417C2×C4⋊C4C22×D5911yescharacteristic
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C42—591no—
1421C2×C42—1181no—
1422#107—591no—
1423#107—591no—
1424#107C22×D5911yescharacteristic
1425#107C22×D5911yescharacteristic
1426#106—591no—
1427#106—591no—
1428#106—591no—
1429#106C22×D5911yescharacteristic
1430C4⋊C8—591no—
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8C22×D5911yescharacteristic
1434#103—591no—
1435#103—591no—
1436#103—591no—
1437#103C22×D5911yescharacteristic
1438#103C22×D5911yescharacteristic
1439#103C22×D5911yescharacteristic
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102C22×D5911yescharacteristic
1460#102C22×D5911yescharacteristic
1461#102C22×D5911yescharacteristic
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466C22⋊C8—591no—
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⋊C8C22×D5911yescharacteristic
1477C22⋊C8C22×D5911yescharacteristic
1478#97—591no—
1479#97C22×D5911yescharacteristic
1480C4×C8—591no—
1481C4×C8—591no—
1482C24—1181no—
1483C24—1181no—
1484C24—1181no—
1485C24—1181no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490#41—22no—
1491#41—22no—
1492#41—41no—
1493#41—41no—
1494#41—1182no—
1495#41—1182no—
1496#41—1182no—
1497#41—1182no—
1498#41—4722no—
1499#41—4722no—
1500#41—2361no—
1501#41—2361no—
1502#41—2361no—
1503#41—2361no—
1504#41—2361no—
1505#41—2361no—
1506#41—2364no—
1507#41—2364no—
1508#41—2361no—
1509#41—2361no—
1510#41—2361no—
1511#41—2361no—
1512C2×Q8—591no—
1513C2×Q8—591no—
1514C2×Q8—591no—
1515C2×Q8—1181no—
1516C2×Q8C23×D5911yescharacteristic
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—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—1182no—
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—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
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—4722no—
1578C2×D4—4722no—
1579C2×D4—4722no—
1580C2×D4—4722no—
1581C2×D4—4722no—
1582C2×D4—4722no—
1583C2×D4—4722no—
1584C2×D4—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2364no—
1589C2×D4—2364no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2361no—
1595C2×D4—2361no—
1596C2×D4—2361no—
1597C2×D4—2361no—
1598C2×D4—2364no—
1599C2×D4—2364no—
1600C2×D4—2364no—
1601C2×D4—2364no—
1602C2×D4D4×D5911yescharacteristic
1603C2×D4C23×D5911yescharacteristic
1604C2×D4C23×D5911yescharacteristic
1605C2×D4C23×D5911yescharacteristic
1606C22×C4—21no—
1607C22×C4—21no—
1608C22×C4—21no—
1609C22×C4—21no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—591no—
1613C22×C4—591no—
1614C22×C4—591no—
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—1181no—
1624C22×C4—1181no—
1625C22×C4C23×D5911yescharacteristic
1626C22×C4C23×D5911yescharacteristic
1627Q16—1182no—
1628SD16—22no—
1629SD16—1182no—
1630SD16—1182no—
1631SD16—1182no—
1632SD16—2361no—
1633SD16—2361no—
1634SD16—2361no—
1635SD16—2361no—
1636D8—41no—
1637D8—41no—
1638D8—1182no—
1639D8—1182no—
1640D8—1182no—
1641D8—2361no—
1642D8—2361no—
1643D8—2361no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650D8—2361no—
1651M16—41no—
1652M16—2361no—
1653M16—2361no—
1654M16—2361no—
1655C2×C8—41no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—591no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8—2361no—
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C2×C8C23×D5911yescharacteristic
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—591no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4D4×D5911yescharacteristic
1684C4⋊C4C23×D5911yescharacteristic
1685C4⋊C4C23×D5911yescharacteristic
1686C4⋊C4C23×D5911yescharacteristic
1687C4⋊C4C23×D5911yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—591no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1725C22⋊C4D4×D5911yescharacteristic
1726C42—21no—
1727C42—21no—
1728C42—591no—
1729C42—591no—
1730C42—591no—
1731C42—1181no—
1732C42—1181no—
1733C42—1181no—
1734C42—1181no—
1735C42C23×D5911yescharacteristic
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—591no—
1740C23—591no—
1741C23—591no—
1742C23—1181no—
1743C23—1181no—
1744C23—1181no—
1745C23—1181no—
1746C23—1181no—
1747C23—4721no—
1748C23—4721no—
1749C23—4721no—
1750C23—4721no—
1751C23—4721no—
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—2362no—
1766C23—2362no—
1767C23—2362no—
1768C23—2362no—
1769C23—2362no—
1770C23—2362no—
1771C23C2×D4×D5911yescharacteristic
1772C23C2×D4×D5911yescharacteristic
1773Q8—21no—
1774Q8—1181no—
1775Q8—1181no—
1776Q8—2361no—
1777Q8—2361no—
1778Q8—2362no—
1779Q8#1427377312yes—
1780D4—21no—
1781D4—21no—
1782D4—21no—
1783D4—21no—
1784D4—21no—
1785D4—21no—
1786D4—41no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—592no—
1796D4—1184no—
1797D4—1182no—
1798D4—1182no—
1799D4—1181no—
1800D4—1181no—
1801D4—1181no—
1802D4—1181no—
1803D4—1181no—
1804D4—1181no—
1805D4—1181no—
1806D4—1181no—
1807D4—1181no—
1808D4—4721no—
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—2362no—
1839D4—2362no—
1840D4—2361no—
1841D4—2361no—
1842D4—2361no—
1843D4—2361no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847D4—2362no—
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—81no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—591no—
1866C2×C4—1182no—
1867C2×C4—1184no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—1181no—
1877C2×C4—4721no—
1878C2×C4—4721no—
1879C2×C4—4721no—
1880C2×C4—4721no—
1881C2×C4—2361no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4C2×D4×D5911yescharacteristic
1888C2×C4C2×D4×D5911yescharacteristic
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C24×D5911yescharacteristic
1892C8—21no—
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—1181no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C22—21no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—1182no—
1916C22—1181no—
1917C22—1181no—
1918C22—1181no—
1919C22—1181no—
1920C22—1181no—
1921C22—1181no—
1922C22—1181no—
1923C22—1181no—
1924C22—1181no—
1925C22—9442no—
1926C22—9442no—
1927C22—9442no—
1928C22—9442no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—9442no—
1933C22—2361no—
1934C22—2361no—
1935C22—2361no—
1936C22—2361no—
1937C22—2361no—
1938C22—2361no—
1939C22—2361no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22C22×D4×D5911yescharacteristic
1948C4—21no—
1949C4—21no—
1950C4—22no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—592no—
1958C4—1181no—
1959C4—1181no—
1960C4—1181no—
1961C4—1181no—
1962C4—2361no—
1963C4—2361no—
1964C4—2361no—
1965C4H(5,𝔽2)×D5911yescharacteristic
1966C4C2×#1427377311yescharacteristic
1967C2—41no—
1968C2—41no—
1969C2—81no—
1970C2—81no—
1971C2—81no—
1972C2—4721no—
1973C2—4721no—
1974C2—4721no—
1975C2—4721no—
1976C2—2361no—
1977C2—2361no—
1978C2—2361no—
1979C2—2362no—
1980C2#2143772611yescharacteristic
1981C2#576×D5911yescharacteristic
1982C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3309C2
socleC22×C59C23×D4
hypercenter#3309D59
hypocenterC59#61688
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21438467C2semidirect
2. #21437873C2semidirect
3. #21436419C2semidirect
4. #21436325C2semidirect
5. #21436236C2semidirect
6. #21436231C2semidirect
7. #21436099C2semidirect
8. #21436031C2semidirect
9. #21435907C2semidirect
10. #21435849C2semidirect
11. #21435770C2semidirect
12. #21435713C2semidirect
13. #21435709C2semidirect
14. #21435638C2semidirect
15. #21435637C2semidirect
16. #21435581C2semidirect
17. #21435571C2semidirect
18. #21435115C2semidirect
19. #21435013C2semidirect
20. #21434960C2semidirect
21. #21434958C2semidirect
22. #21434955C2semidirect
23. #21434941C2semidirect
24. #21434245C2semidirect
25. #21434121C2semidirect
26. #21433402C2semidirect
27. #21433398C2semidirect
28. #21433367C2semidirect
29. #21433361C2semidirect
30. #21433168C2semidirect
31. C59×#3309C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
40. C22×D472C22semidirect
41. C2×D8×D59C22semidirect
44. #16838120C22semidirect
45. #16838105C22semidirect
46. #16838074C22semidirect
49. #16838071C22semidirect
50. #16838070C22semidirect
51. #16838053C22semidirect
52. #16838048C22semidirect
53. #16838047C22semidirect
56. D4×D236C22semidirect
58. #16838037C22semidirect
62. #16838036C22semidirect
63. #16838036C22semidirect
67. #16837983C22semidirect
68. #16837981C22semidirect
69. #16837971C22semidirect
73. #16837968C22semidirect
74. #16837968C22semidirect
75. #16837968C22semidirect
78. #16837949C22semidirect
80. #127×D59C22semidirect
81. #16837937C22semidirect
82. C4×#11745689C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837777C22semidirect
86. #16837777C22semidirect
87. #16837768C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837745C22semidirect
91. #16837729C22semidirect
92. #16837728C22semidirect
93. #16837728C22semidirect
94. #16837726C22semidirect
95. #16837725C22semidirect
96. #16837725C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837699C22semidirect
101. #16837685C22semidirect
102. #16837681C22semidirect
103. #16837656C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837649C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837637C22semidirect
113. #16837636C22semidirect
114. #16837636C22semidirect
115. #16837631C22semidirect
116. #16837630C22semidirect
117. #16837624C22semidirect
118. #16837618C22semidirect
119. #16837601C22semidirect
120. #16837601C22semidirect
121. #16837600C22semidirect
122. #16837598C22semidirect
123. #16837597C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837594C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
131. #16837555C22semidirect
132. #16837554C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837550C22semidirect
140. #16837549C22semidirect
141. #16837548C22semidirect
142. #16837547C22semidirect
143. #16837546C22semidirect
144. #16837545C22semidirect
145. #16837544C22semidirect
146. #16837538C22semidirect
147. #16837538C22semidirect
148. #16837537C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837535C22semidirect
157. #16837535C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837500C22semidirect
165. #16837494C22semidirect
166. #16837489C22semidirect
167. #16837487C22semidirect
168. #16837484C22semidirect
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. #16837402C22semidirect
181. #16837397C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#553C22semidirect
189. C59×#550C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
983. #3309D59semidirect
1037. #553C2×D59semidirect
1043. #550C2×D59semidirect
1081. #490C2×D59semidirect
1091. #482C2×D59semidirect
1095. #480C2×D59semidirect
1096. #479C2×D59semidirect
1105. #469C2×D59semidirect
1113. #466C2×D59semidirect
1127. #459C2×D59semidirect
1146. #449C2×D59semidirect
1147. #449C2×D59semidirect
1167. #440C2×D59semidirect
1177. #435C2×D59semidirect
1185. #417C2×D59semidirect
1187. #416C2×D59semidirect
1194. C59#61688semidirect

Maximal subgroups

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

subgroupindex
#214384672
#214378732
#214364192
#214363252
#214362362
#214362312
#214360992
#214360312
#214359072
#214358492
#214357702
#214357132
#214357092
#214356382
#214356372
#214355812
#214355712
#214351152
#214350132
#214349602
#214349582
#214349552
#214349412
#214342452
#214341212
#214334022
#214333982
#214333672
#214333612
#214331682
C59×#33092
#6168859