Finite Group Databasebeta

← #29466119

Subgroups — #29466119

Order 15104.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437798C211yesmaximal, characteristic, complemented
2#21437733C211yesmaximal, characteristic, complemented
3#21436410C211yesmaximal, characteristic, complemented
4#21436409C211yesmaximal, characteristic, complemented
5#21436395C211yesmaximal, characteristic, complemented
6#21436394C211yesmaximal, characteristic, complemented
7#21436315C211yesmaximal, characteristic, complemented
8#21436312C211yesmaximal, characteristic, complemented
9#21436304C211yesmaximal, characteristic, complemented
10#21436301C211yesmaximal, characteristic, complemented
11#21436194C211yesmaximal, characteristic, complemented
12#21436193C211yesmaximal, characteristic, complemented
13#21436176C211yesmaximal, characteristic, complemented
14#21436173C211yesmaximal, characteristic, complemented
15#21436078C211yesmaximal, characteristic, complemented
16#21436077C211yesmaximal, characteristic, complemented
17#21436052C211yesmaximal, characteristic, complemented
18#21434458C211yesmaximal, characteristic, complemented
19#21434058C211yesmaximal, characteristic, complemented
20#21434018C211yesmaximal, characteristic, complemented
21#21433922C211yesmaximal, characteristic, complemented
22#21433780C211yesmaximal, characteristic, complemented
23#21433703C211yesmaximal, characteristic, complemented
24#21433647C211yesmaximal, characteristic, complemented
25#21433395C211yesmaximal, characteristic, complemented
26#21433334C211yesmaximal, characteristic, complemented
27#21432925C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432617C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273746C2211yescharacteristic
37C2×#14273733C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838106—21no—
42#16838102C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838097—21no—
45#16838092C2211yescharacteristic, complemented
46#16838089—21no—
47#16838087C2211yescharacteristic, complemented
48#16838057C2211yescharacteristic
49#16838056C2211yescharacteristic
50#16838054C2211yescharacteristic
51#16838052—21no—
52#16838052C2211yescharacteristic, complemented
53#16838051—21no—
54#16838051C2211yescharacteristic
55#16838050—21no—
56#16838049C2211yescharacteristic
57#16838046C2211yescharacteristic
58#16838045C2211yescharacteristic
59#16838042—21no—
60#16838039—21no—
61#16838029C2211yescharacteristic, complemented
62#16837998—21no—
63#16837995—21no—
64#16837981C2211yescharacteristic
65#16837975C2211yescharacteristic
66#16837972C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837912C2211yescharacteristic
70#16837912C2211yescharacteristic, complemented
71#16837911C2211yescharacteristic
72#16837910—21no—
73#16837909—21no—
74C2×#14273709—21no—
75#123×D59—21no—
76#16837883C2211yescharacteristic
77#16837881C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837771C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837760C2211yescharacteristic, complemented
83#16837756C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837754C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837734C2211yescharacteristic, complemented
97#16837734C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837661C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837646C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837645C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837642C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837613C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837607C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837544C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837511C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837499C2211yescharacteristic, complemented
146#16837489C2211yescharacteristic, complemented
147C4×#11745670C2211yescharacteristic, complemented
148D8×Dic59C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837407C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837403C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837401C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic
172#16837400C2211yescharacteristic
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837399C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229#14273756—42no—
230#14273751—24no—
231#14273746—42no—
232C2×Dic236C2311yescharacteristic
233C2×Dic236C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241#14273733—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273727C2311yescharacteristic
254#14273726—21no—
255#14273726C2311yescharacteristic
256#14273725—21no—
257#14273725C2311yescharacteristic
258#14273722—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273719C2311yescharacteristic
263#14273718—21no—
264#14273718C2311yescharacteristic
265#14273717—21no—
266#14273717—21no—
267#14273717—21no—
268#14273717—21no—
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712D411yescharacteristic
274#14273711—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273710—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273708—21no—
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705D411yescharacteristic
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704D411yescharacteristic
313#14273703—21no—
314#14273703—21no—
315#14273703—21no—
316#14273703C2311yescharacteristic
317#14273701—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697D411yescharacteristic
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695D411yescharacteristic
341C4×Dic118C2311yescharacteristic
342#14273692—21no—
343#14273692C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350#14273689—21no—
351#14273689—21no—
352#14273689C2311yescharacteristic
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684C2311yescharacteristic
372#14273683—21no—
373#14273683—21no—
374C2×C4⋊Dic59—21no—
375C2×C4⋊Dic59C2311yescharacteristic
376C2×Dic59⋊C4—21no—
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—41no—
493#41×C59—82no—
494C2×Q8×C59—21no—
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—22no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—41no—
541Q8×D59—22no—
542Q8×D59—22no—
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—41no—
550#11745687—41no—
551#11745687—44no—
552#11745687—44no—
553#11745687—82no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—41no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59#4114yescomplemented
560#11745685—22no—
561#11745685—22no—
562#11745685—22no—
563#11745685—22no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567C2×D236—21no—
568C2×D236C2×D411yescharacteristic
569C2×D236C2×D411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—22no—
572C2×C4×D59—22no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—44no—
585C2×C4×D59—82no—
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118C2×D411yescharacteristic
594C2×Dic118C2411yescharacteristic
595C2×Dic118C2411yescharacteristic
596C2×Dic118C2411yescharacteristic
597SD16×C59—41no—
598D8×C59—22no—
599D8×C59—41no—
600M16×C59—41no—
601C2×C8×C59—41no—
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59C2×D411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C42×C59C2411yescharacteristic
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59C2×D411yescharacteristic
639C22⋊Dic59C2×D411yescharacteristic
640#11745672—41no—
641#11745670—22no—
642#11745670—41no—
643#11745670—41no—
644#11745670—41no—
645#11745669—22no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—41no—
711Dic236—41no—
712#11745660—22no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—81no—
726C23×C59—81no—
727C23×C59C22×D411yescharacteristic
728C23×C59C22×D411yescharacteristic
729C22×D59—21no—
730C22×D59—22no—
731C22×D59—24no—
732C22×D59—41no—
733C22×D59—41no—
734C22×D59—42no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741C22×D59C22×D411yescharacteristic
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—81no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—41no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—42no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59C2×#4112yes—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—42no—
767C2×C4×C59—42no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—22no—
777C22⋊D59—22no—
778C22⋊D59—24no—
779C22⋊D59—41no—
780C22⋊D59—41no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C2×Dic59—22no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—42no—
800C2×Dic59—42no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—81no—
805C2×Dic59—81no—
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811D236—22no—
812D236—21no—
813D236—41no—
814D236—42no—
815D236C2×#4112yes—
816C4×D59—22no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—22no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59C2×#4112yes—
834C4×D59H(5,𝔽2)12yes—
835Dic118—22no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—21no—
842Dic118—42no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61177—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—22no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—162no—
869C22×C59C23×D411yescharacteristic
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—22no—
879C2×D59—44no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—84no—
883C2×D59—162no—
884C2×D59#54612yes—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59C22×#4111yescharacteristic
895C4×C59C2×H(5,𝔽2)11yescharacteristic
896Dic59—21no—
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59#54612yes—
908#3492—591no—
909#3485—591no—
910#3331—591no—
911#3331—591no—
912#3330—591no—
913#3330—591no—
914#3323—591no—
915#3323—591no—
916#3322—591no—
917#3322—591no—
918#3315—591no—
919#3315—591no—
920#3314—591no—
921#3314—591no—
922#3307—591no—
923#3307—591no—
924#3306—591no—
925#3306D5911yescharacteristic, complemented
926#3137—591no—
927#3097—591no—
928#3092—591no—
929#3081—591no—
930#3063—591no—
931#3054—591no—
932#3046—591no—
933#3012—591no—
934#3005—591no—
935#2946—591no—
936#2930—591no—
937#2897—591no—
938C2×#417—591no—
939C2×C59—41no—
940C2×C59—42no—
941C2×C59—41no—
942C2×C59—81no—
943C2×C59—81no—
944C2×C59C2×#54611yescharacteristic
945C2×C59#358511yescharacteristic
946C2×C59#358611yescharacteristic
947D59—22no—
948D59—41no—
949D59—41no—
950D59—42no—
951C2×H(5,𝔽2)—591no—
952C22×#41—591no—
953C2×#137—591no—
954C2×AGL(1,ℤ/8)—591no—
955C2×#135—591no—
956C2×#131—591no—
957C22×M16—591no—
958#554—591no—
959#554—591no—
960#554—1181no—
961#553—591no—
962#553—591no—
963#553—1181no—
964#552—591no—
965#552—591no—
966#552—1181no—
967#547—591no—
968#547—591no—
969#547—591no—
970#547—591no—
971#547—591no—
972#547—1181no—
973#547—1181no—
974#547—1181no—
975#547C2×D5911yescharacteristic, complemented
976#546—591no—
977#546—591no—
978#546—591no—
979#546—1181no—
980#546—1181no—
981#546C2×D5911yescharacteristic
982#544—591no—
983#539—1181no—
984#539—1181no—
985#537—591no—
986#536—591no—
987#536—591no—
988#534—1181no—
989#534—1181no—
990#525—591no—
991#525—591no—
992#525—591no—
993#525—1181no—
994#525—1181no—
995C2×#123—1181no—
996C2×#123—1181no—
997#520—591no—
998#520—591no—
999#518—591no—
1000C22×C4⋊C4—591no—
1001#491—591no—
1002#491—591no—
1003#489—591no—
1004#489C2×D5911yescharacteristic, complemented
1005#488—591no—
1006#488—591no—
1007#487—591no—
1008#487—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#484—591no—
1014#484—591no—
1015#484—591no—
1016#484—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483C2×D5911yescharacteristic, complemented
1021#481—591no—
1022#481C2×D5911yescharacteristic, complemented
1023#480—591no—
1024#480—591no—
1025#478—591no—
1026#478—591no—
1027#478—591no—
1028#478—591no—
1029#476—591no—
1030#476C2×D5911yescharacteristic, complemented
1031#474—591no—
1032#474—591no—
1033#470—591no—
1034#470—591no—
1035#470—591no—
1036#470—591no—
1037#469—591no—
1038#469C2×D5911yescharacteristic, complemented
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468—591no—
1045#467—591no—
1046#467—591no—
1047#465—591no—
1048#465C2×D5911yescharacteristic, complemented
1049#464—591no—
1050#464—591no—
1051#463—591no—
1052#463C2×D5911yescharacteristic, complemented
1053#462—591no—
1054#462—591no—
1055#461—591no—
1056#461—591no—
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449C2×D5911yescharacteristic, complemented
1071#447—591no—
1072#447C2×D5911yescharacteristic, complemented
1073#442—591no—
1074#442C2×D5911yescharacteristic, complemented
1075#440—591no—
1076#440—591no—
1077C4×SD16—591no—
1078C4×SD16—591no—
1079C4×D8—591no—
1080C4×D8—591no—
1081#436—591no—
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#435C2×D5911yescharacteristic, complemented
1089#428—591no—
1090#428—591no—
1091#427—591no—
1092#424—591no—
1093#419—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417C2×D5911yescharacteristic, complemented
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118C2×#102C2×D5911yescharacteristic, complemented
1119#408—591no—
1120#407—591no—
1121#405—591no—
1122C59#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—1184no—
1124H(5,𝔽2)—2362no—
1125C2×#41—21no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—591no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1181no—
1138C2×#41—1184no—
1139C2×#41—2362no—
1140C2×#41C22×D5911yescharacteristic
1141C22×Q8—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4C22×D5911yescharacteristic
1149C23×C4—591no—
1150C23×C4—1181no—
1151C23×C4—1181no—
1152#137—2362no—
1153AGL(1,ℤ/8)—1184no—
1154#135—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×SD16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16C22×D5911yescharacteristic
1164C2×D8—591no—
1165C2×D8C22×D5911yescharacteristic
1166C2×D8C22×D5911yescharacteristic
1167#131—2362no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—2362no—
1176C2×M16C22×D5911yescharacteristic
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8C22×D5911yescharacteristic
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—591no—
1184C4⋊Q8—1181no—
1185C4⋊Q8—1181no—
1186C4⋊Q8C22×D5911yescharacteristic
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#125—591no—
1192#125—591no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#124—591no—
1199#124—1181no—
1200#124C22×D5911yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—591no—
1205#123—591no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229C22⋊Q8—21no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8C22×D5911yescharacteristic
1252#121—21no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121C22×D5911yescharacteristic
1271#121C22×D5911yescharacteristic
1272#121C22×D5911yescharacteristic
1273#120—21no—
1274#120—591no—
1275#120—591no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—1181no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317C2×C4⋊C4—591no—
1318C2×C4⋊C4—591no—
1319C2×C4⋊C4—591no—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4—1181no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4C22×D5911yescharacteristic
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106C22×D5911yescharacteristic
1349#106C22×D5911yescharacteristic
1350#106C22×D5911yescharacteristic
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8C22×D5911yescharacteristic
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102C22×D5911yescharacteristic
1389#102C22×D5911yescharacteristic
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8C22×D5911yescharacteristic
1402C22⋊C8C22×D5911yescharacteristic
1403#97—591no—
1404#97C22×D5911yescharacteristic
1405C4×C8—591no—
1406C4×C8—591no—
1407C24—21no—
1408C24—591no—
1409C24—1181no—
1410C24—1181no—
1411#41—22no—
1412#41—41no—
1413#41—82no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—4722no—
1426#41—2361no—
1427#41—2361no—
1428#41—2364no—
1429#41—2361no—
1430#41—2361no—
1431#41—2364no—
1432#41—2361no—
1433#41—2364no—
1434C2×Q8—21no—
1435C2×Q8—591no—
1436C2×Q8—591no—
1437C2×Q8—591no—
1438C2×Q8—591no—
1439C2×Q8—1181no—
1440C2×Q8—1181no—
1441C2×Q8—1182no—
1442C2×Q8—1182no—
1443C2×Q8C23×D5911yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—594no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—1181no—
1460C2×D4—1182no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1182no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—2361no—
1474C2×D4—2364no—
1475C2×D4—2364no—
1476C2×D4—2364no—
1477C2×D4—2364no—
1478C2×D4D4×D5911yescharacteristic
1479C2×D4C23×D5911yescharacteristic
1480C2×D4C23×D5911yescharacteristic
1481C2×D4C23×D5911yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—1182no—
1494C22×C4—1182no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4—2364no—
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517Q16—2361no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—1182no—
1522SD16—1182no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—22no—
1527D8—41no—
1528D8—1182no—
1529M16—41no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536M16—2361no—
1537C2×C8—41no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—591no—
1542C2×C8—1182no—
1543C2×C8—1182no—
1544C2×C8—2361no—
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—591no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4D4×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C4⋊C4C23×D5911yescharacteristic
1591C4⋊C4C23×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4D4×D5911yescharacteristic
1632C22⋊C4D4×D5911yescharacteristic
1633C42—591no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42C23×D5911yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—591no—
1648C23—591no—
1649C23—591no—
1650C23—1184no—
1651C23—1182no—
1652C23—1181no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—2361no—
1658C23—2361no—
1659C23—2362no—
1660C23C2×D4×D5911yescharacteristic
1661C23C2×D4×D5911yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—81no—
1665Q8—1182no—
1666Q8—1181no—
1667Q8—1181no—
1668Q8—1181no—
1669Q8—1181no—
1670Q8—1181no—
1671Q8—1181no—
1672Q8—4721no—
1673Q8—2362no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—592no—
1686D4—1182no—
1687D4—1184no—
1688D4—1182no—
1689D4—1182no—
1690D4—1181no—
1691D4—4721no—
1692D4—4721no—
1693D4—2361no—
1694D4—2362no—
1695D4—2361no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699D4—2362no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4#41×D5912yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—591no—
1721C2×C4—592no—
1722C2×C4—592no—
1723C2×C4—591no—
1724C2×C4—591no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—1182no—
1728C2×C4—1182no—
1729C2×C4—1182no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—4721no—
1742C2×C4—4721no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—2362no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C24×D5911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—162no—
1788C22—592no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1182no—
1794C22—1181no—
1795C22—1181no—
1796C22—1181no—
1797C22—1181no—
1798C22—9442no—
1799C22—4724no—
1800C22—2364no—
1801C22—2361no—
1802C22—2361no—
1803C22C22×D4×D5911yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—592no—
1814C4—1181no—
1815C4—1181no—
1816C4—1181no—
1817C4—1181no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4C2×#41×D5911yescharacteristic
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—1182no—
1833C2—2361no—
1834C2—2361no—
1835C2—2362no—
1836C2#546×D5911yescharacteristic
1837C2#2143887211yescharacteristic
1838C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61177
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21437798C2semidirect
2. #21437733C2semidirect
3. #21436410C2semidirect
4. #21436409C2semidirect
5. #21436395C2semidirect
6. #21436394C2semidirect
7. #21436315C2semidirect
8. #21436312C2semidirect
9. #21436304C2semidirect
10. #21436301C2semidirect
11. #21436194C2semidirect
12. #21436193C2semidirect
13. #21436176C2semidirect
14. #21436173C2semidirect
15. #21436078C2semidirect
16. #21436077C2semidirect
17. #21436052C2semidirect
18. #21434458C2semidirect
19. #21434058C2semidirect
20. #21434018C2semidirect
21. #21433922C2semidirect
22. #21433780C2semidirect
23. #21433703C2semidirect
24. #21433647C2semidirect
25. #21433395C2semidirect
26. #21433334C2semidirect
27. #21432925C2semidirect
28. #21432794C2semidirect
29. #21432617C2semidirect
30. #417×D59C2semidirect
31. C59×#3306C2semidirect
34. C2×#14273756C22semidirect
38. C2×M16×D59C22semidirect
39. #16838113C22semidirect
40. #16838107C22semidirect
42. #16838102C22semidirect
43. #16838099C22semidirect
45. #16838092C22semidirect
47. #16838087C22semidirect
52. #16838052C22semidirect
61. #16838029C22semidirect
70. #16837912C22semidirect
77. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837771C22semidirect
81. #16837769C22semidirect
82. #16837760C22semidirect
83. #16837756C22semidirect
84. #16837755C22semidirect
85. #16837754C22semidirect
86. #16837751C22semidirect
87. #16837746C22semidirect
88. #16837744C22semidirect
89. #16837741C22semidirect
90. #16837740C22semidirect
91. #16837738C22semidirect
92. #16837737C22semidirect
93. #16837737C22semidirect
94. #16837736C22semidirect
95. #16837734C22semidirect
96. #16837734C22semidirect
97. #16837734C22semidirect
98. #16837718C22semidirect
99. #16837714C22semidirect
100. #16837714C22semidirect
101. #16837704C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837701C22semidirect
105. #16837691C22semidirect
106. #16837680C22semidirect
107. #16837679C22semidirect
108. #16837661C22semidirect
109. #16837661C22semidirect
110. #16837660C22semidirect
111. #16837658C22semidirect
112. #16837652C22semidirect
113. #16837647C22semidirect
114. #16837647C22semidirect
115. #16837646C22semidirect
116. #16837646C22semidirect
117. #16837646C22semidirect
118. #16837645C22semidirect
119. #16837643C22semidirect
120. #16837642C22semidirect
121. #16837630C22semidirect
122. #16837623C22semidirect
123. #16837621C22semidirect
124. #16837615C22semidirect
125. #16837613C22semidirect
126. #16837611C22semidirect
127. #16837607C22semidirect
128. #16837605C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837565C22semidirect
134. #16837564C22semidirect
135. #16837554C22semidirect
136. #16837553C22semidirect
137. #16837546C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837544C22semidirect
141. #16837544C22semidirect
142. #16837534C22semidirect
143. #16837511C22semidirect
144. #16837504C22semidirect
145. #16837499C22semidirect
146. #16837489C22semidirect
147. C4×#11745670C22semidirect
148. D8×Dic59C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837441C22semidirect
158. #16837441C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837407C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837403C22semidirect
167. #16837402C22semidirect
168. #16837402C22semidirect
169. #16837401C22semidirect
170. #16837401C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837399C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #103×D59C22semidirect
181. #103×D59C22semidirect
184. #102×D59C22semidirect
186. #16837364C22semidirect
187. #16837359C22semidirect
188. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
193. C59×#476C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
559. D4×D59#41semidirect
925. #3306D59semidirect
975. #547C2×D59semidirect
1004. #489C2×D59semidirect
1020. #483C2×D59semidirect
1022. #481C2×D59semidirect
1030. #476C2×D59semidirect
1038. #469C2×D59semidirect
1048. #465C2×D59semidirect
1052. #463C2×D59semidirect
1070. #449C2×D59semidirect
1072. #447C2×D59semidirect
1074. #442C2×D59semidirect
1088. #435C2×D59semidirect
1108. #417C2×D59semidirect
1118. C2×#102C2×D59semidirect
1122. C59#61177semidirect

Maximal subgroups

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

subgroupindex
#214377982
#214377332
#214364102
#214364092
#214363952
#214363942
#214363152
#214363122
#214363042
#214363012
#214361942
#214361932
#214361762
#214361732
#214360782
#214360772
#214360522
#214344582
#214340582
#214340182
#214339222
#214337802
#214337032
#214336472
#214333952
#214333342
#214329252
#214327942
#214326172
#417×D592
C59×#33062
#6117759