Finite Group Databasebeta

← #29466993

Subgroups — #29466993

Order 15104.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437938C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic, complemented
3#21436251C211yesmaximal, characteristic, complemented
4#21436249C211yesmaximal, characteristic, complemented
5#21436246C211yesmaximal, characteristic, complemented
6#21436243C211yesmaximal, characteristic, complemented
7#21436241C211yesmaximal, characteristic, complemented
8#21436240C211yesmaximal, characteristic, complemented
9#21436238C211yesmaximal, characteristic, complemented
10#21436070C211yesmaximal, characteristic, complemented
11#21436068C211yesmaximal, characteristic, complemented
12#21436067C211yesmaximal, characteristic, complemented
13#21436065C211yesmaximal, characteristic, complemented
14#21436064C211yesmaximal, characteristic, complemented
15#21436062C211yesmaximal, characteristic, complemented
16#21436059C211yesmaximal, characteristic, complemented
17#21436057C211yesmaximal, characteristic, complemented
18#21434438C211yesmaximal, characteristic, complemented
19#21434088C211yesmaximal, characteristic, complemented
20#21434082C211yesmaximal, characteristic, complemented
21#21433888C211yesmaximal, characteristic, complemented
22#21433775C211yesmaximal, characteristic, complemented
23#21433771C211yesmaximal, characteristic, complemented
24#21433558C211yesmaximal, characteristic, complemented
25#21433361C211yesmaximal, characteristic, complemented
26#21433359C211yesmaximal, characteristic, complemented
27#442×D59C211yesmaximal, characteristic, complemented
28#21432810C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#21432618C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273772C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic
37C2×#14273735C2211yescharacteristic, complemented
38C2×#14273733C2211yescharacteristic, complemented
39#16838134—21no—
40#16838134—21no—
41#16838120—21no—
42#16838118C2211yescharacteristic, complemented
43#16838104C2211yescharacteristic, complemented
44#16838104C2211yescharacteristic, complemented
45#16838096C2211yescharacteristic, complemented
46#16838096C2211yescharacteristic, complemented
47#16838070—21no—
48#16838057C2211yescharacteristic, complemented
49#16838056C2211yescharacteristic, complemented
50#16838054C2211yescharacteristic, complemented
51#16838051C2211yescharacteristic, complemented
52#16838050—21no—
53#16838048C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic, complemented
56#16838042—21no—
57#16838041—21no—
58#16838036C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838034—21no—
61#16837986—21no—
62#16837986—21no—
63#16837982C2211yescharacteristic
64#16837981C2211yescharacteristic
65#16837968C2211yescharacteristic, complemented
66#16837968C2211yescharacteristic, complemented
67#16837963—21no—
68#16837962—21no—
69#16837957C2211yescharacteristic, complemented
70#16837951C2211yescharacteristic
71#16837949C2211yescharacteristic
72#16837914—21no—
73#16837912—21no—
74C2×#14273700—21no—
75#121×D59—21no—
76#16837882C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837764C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837693C2211yescharacteristic, complemented
106#16837692C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic, complemented
118#16837633C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic, complemented
131#16837548C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837538C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837536C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic, complemented
147#16837512C2211yescharacteristic, complemented
148#16837511C2211yescharacteristic, complemented
149#16837511C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837475C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155#16837471C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837406C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837404C2211yescharacteristic, complemented
167#16837403C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837397C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic, complemented
175#16837396C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179C2×#14273649C2211yescharacteristic, complemented
180C2×#14273648C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205#14273772—24no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59—21no—
233#14273754—42no—
234#14273751—42no—
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244D8×D59—24no—
245#14273735—42no—
246#14273733—42no—
247C2×#11745664C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252C22×C59⋊C8C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727C2311yescharacteristic
258#14273726D411yescharacteristic
259#14273725C2311yescharacteristic
260#14273723—21no—
261#14273723—21no—
262#14273723D411yescharacteristic
263#14273723C2311yescharacteristic
264#14273721—21no—
265#14273721—21no—
266#14273720—21no—
267#14273720—21no—
268#14273718C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273716—21no—
271#14273716—21no—
272#14273715C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713D411yescharacteristic
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712—21no—
279#14273711—21no—
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273705—21no—
298#14273704—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702—21no—
303#14273702D411yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273700D411yescharacteristic
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698D411yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273696—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59—21no—
346C4×Dic118—21no—
347C4×Dic118—21no—
348#14273692—21no—
349C4×D236—21no—
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356D4×Dic59—21no—
357D4×Dic59—21no—
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273685—21no—
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273685C2311yescharacteristic
379C2×C4⋊Dic59C2311yescharacteristic
380C2×C4⋊Dic59C2311yescharacteristic
381C2×Dic59⋊C4—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×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×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493#41×C59—22no—
494#41×C59—41no—
495C2×Q8×C59—21no—
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
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—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—44no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543#11745689—22no—
544#11745689—22no—
545#11745689—22no—
546#11745689—41no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—44no—
552#11745687—82no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—82no—
564D4×D59#4114yescomplemented
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—41no—
571#11745685—44no—
572#11745685—82no—
573C2×D236—22no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—41no—
581C2×D236—44no—
582C2×D236C2×D411yescharacteristic
583C2×D236C2×D411yescharacteristic
584C2×D236C2×D411yescharacteristic
585C2×D236C2411yescharacteristic
586C2×D236C2411yescharacteristic
587C2×D236C2411yescharacteristic
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—82no—
600C2×C4×D59—82no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—21no—
607C2×Dic118C2×D411yescharacteristic
608C2×Dic118C2×D411yescharacteristic
609C2×Dic118C2411yescharacteristic
610SD16×C59—41no—
611D8×C59—22no—
612D8×C59—41no—
613M16×C59—41no—
614C2×C8×C59—41no—
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59C2×D411yescharacteristic
637C22⋊C4×C59C2×D411yescharacteristic
638C42×C59—21no—
639C42×C59—21no—
640C42×C59C2411yescharacteristic
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745671—41no—
650#11745670—41no—
651#11745669—22no—
652#11745669—22no—
653#11745669—41no—
654#11745669—41no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675(C2×D59)⋊C4C2×D411yescharacteristic
676(C2×D59)⋊C4C2×D411yescharacteristic
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59C2×D411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714D472—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720C8×D59—22no—
721C8×D59—22no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—21no—
733C22×D59—24no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59C22×D411yescharacteristic
751C22×D59C22×D411yescharacteristic
752C22×D59C22×D411yescharacteristic
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—81no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—21no—
761D4×C59—41no—
762D4×C59—42no—
763D4×C59—42no—
764D4×C59—81no—
765D4×C59—81no—
766D4×C59—81no—
767D4×C59C2×#4112yes—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—42no—
778C2×C4×C59—42no—
779C2×C4×C59—81no—
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C2511yescharacteristic
785C22⋊D59—22no—
786C22⋊D59—22no—
787C22⋊D59—22no—
788C22⋊D59—22no—
789C22⋊D59—24no—
790C22⋊D59—41no—
791C22⋊D59—41no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—42no—
812C2×Dic59—42no—
813C2×Dic59—42no—
814C2×Dic59—81no—
815C2×Dic59—81no—
816C2×Dic59—81no—
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822D236—22no—
823D236—22no—
824D236—21no—
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—41no—
830D236—42no—
831D236—42no—
832D236—42no—
833D236—81no—
834D236—81no—
835D236—81no—
836D236C2×#4112yes—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—41no—
842C4×D59—41no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59C2×#4112yes—
855C4×D59H(5,𝔽2)12yes—
856Dic118—22no—
857Dic118—22no—
858Dic118—21no—
859Dic118—21no—
860Dic118—42no—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61218—591nomaximal, Sylow
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—22no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—162no—
886C22×C59C23×D411yescharacteristic
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—84no—
906C2×D59—162no—
907C2×D59—162no—
908C2×D59—162no—
909C2×D59#54612yes—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59C22×#4111yescharacteristic
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#54612yes—
931#3506—591no—
932#3496—591no—
933#3319—591no—
934#3319—591no—
935#3319—591no—
936#3319D5911yescharacteristic, complemented
937#3318—591no—
938#3318—591no—
939#3318—591no—
940#3318—591no—
941#3307—591no—
942#3307—591no—
943#3307—591no—
944#3307—591no—
945#3306—591no—
946#3306—591no—
947#3306—591no—
948#3306—591no—
949#3135—591no—
950#3099—591no—
951#3099—591no—
952#3077—591no—
953#3062—591no—
954#3062—591no—
955#3036—591no—
956#3008—591no—
957#3008—591no—
958C2×#442—591no—
959#2932—591no—
960#2897—591no—
961#2897—591no—
962C2×C59—42no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59—81no—
967C2×C59C2×#54611yescharacteristic
968C2×C59#358511yescharacteristic
969C2×C59#358511yescharacteristic
970D59—22no—
971D59—41no—
972D59—41no—
973D59—42no—
974D59—81no—
975D59—81no—
976C2×H(5,𝔽2)—591no—
977C2×H(5,𝔽2)—591no—
978C2×AGL(1,ℤ/8)—591no—
979C2×AGL(1,ℤ/8)—591no—
980C22×D8—591no—
981C2×#131—591no—
982C2×#131—591no—
983#559—1181no—
984#559—1181no—
985#556—1181no—
986#555—591no—
987#555C2×D5911yescharacteristic, complemented
988#553—591no—
989#553—591no—
990#553—591no—
991#553—591no—
992#550—1181no—
993#547—591no—
994#547—591no—
995#547—591no—
996#547—591no—
997#547—1181no—
998#546—591no—
999#546—591no—
1000#546—591no—
1001#546—1181no—
1002#546—1181no—
1003#546C2×D5911yescharacteristic, complemented
1004D42—591no—
1005D42—591no—
1006D42—1181no—
1007#538—1181no—
1008#538—1181no—
1009#537—591no—
1010#537—591no—
1011#535—591no—
1012#535—591no—
1013#534—1181no—
1014#534—1181no—
1015#533—591no—
1016#532—591no—
1017#532—591no—
1018#525—1181no—
1019#525—1181no—
1020C2×#121—1181no—
1021C2×#121—1181no—
1022#520—591no—
1023#520—591no—
1024C2×C4×D4—591no—
1025C2×C4×D4—591no—
1026#491—591no—
1027#491—591no—
1028#490—591no—
1029#490—591no—
1030#489—591no—
1031#489—591no—
1032#489—591no—
1033#489C2×D5911yescharacteristic, complemented
1034#485—591no—
1035#485—591no—
1036#485—591no—
1037#485C2×D5911yescharacteristic, complemented
1038#483—591no—
1039#483—591no—
1040#483—591no—
1041#483—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482C2×D5911yescharacteristic, complemented
1046#481—591no—
1047#481—591no—
1048#481—591no—
1049#481—591no—
1050#478—591no—
1051#478—591no—
1052#478—591no—
1053#478—591no—
1054#476—591no—
1055#476—591no—
1056#474—591no—
1057#474C2×D5911yescharacteristic, complemented
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468C2×D5911yescharacteristic, complemented
1066#466—591no—
1067#466—591no—
1068#466—591no—
1069#466C2×D5911yescharacteristic, complemented
1070#465—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#463—591no—
1075#463—591no—
1076#463—591no—
1077#463C2×D5911yescharacteristic, complemented
1078#461—591no—
1079#461—591no—
1080#459—591no—
1081#459—591no—
1082#449—591no—
1083#449—591no—
1084#449—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449C2×D5911yescharacteristic, complemented
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447C2×D5911yescharacteristic, complemented
1098#442—591no—
1099#442—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#442C2×D5911yescharacteristic, complemented
1106#435—591no—
1107#435—591no—
1108#435—591no—
1109#435—591no—
1110#435—591no—
1111#435—591no—
1112#435—591no—
1113#435C2×D5911yescharacteristic, complemented
1114#428—591no—
1115#428—591no—
1116C2×#106—591no—
1117#423—591no—
1118#418—591no—
1119#418—591no—
1120#418—591no—
1121#418—591no—
1122#418—591no—
1123#418C2×D5911yescharacteristic, complemented
1124#417—591no—
1125#417—591no—
1126#417—591no—
1127#417—591no—
1128#417—591no—
1129#417—591no—
1130#416—591no—
1131#416—591no—
1132#416—591no—
1133#416—591no—
1134#416—591no—
1135#416—591no—
1136#416—591no—
1137#416C2×D5911yescharacteristic, complemented
1138C2×#102—591no—
1139C2×#102—591no—
1140C2×#102—591no—
1141C2×#102—591no—
1142C2×#102—591no—
1143C2×#102—591no—
1144#408—591no—
1145#408—591no—
1146C2×#97—591no—
1147C59#6121811yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—1184no—
1149H(5,𝔽2)—1184no—
1150H(5,𝔽2)—2362no—
1151H(5,𝔽2)—2362no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41C22×D5911yescharacteristic
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4C22×D5911yescharacteristic
1178C23×C4—1181no—
1179C23×C4—1181no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16C22×D5911yescharacteristic
1186C2×D8—591no—
1187C2×D8—591no—
1188C2×D8—591no—
1189C2×D8—591no—
1190C2×D8—591no—
1191C2×D8—591no—
1192C2×D8—1184no—
1193C2×D8C22×D5911yescharacteristic
1194C2×D8C22×D5911yescharacteristic
1195#131—2362no—
1196#131—2362no—
1197C2×M16—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16C22×D5911yescharacteristic
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8—591no—
1208C22×C8C22×D5911yescharacteristic
1209C4⋊Q8—591no—
1210C4⋊Q8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8C22×D5911yescharacteristic
1213#127—591no—
1214#127—591no—
1215#127—1181no—
1216#127—1181no—
1217#126—1181no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#125—591no—
1222#125—591no—
1223#124—21no—
1224#124—21no—
1225#124—591no—
1226#124—591no—
1227#124—591no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124C22×D5911yescharacteristic
1233#123—21no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249C22⋊Q8—591no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8—1181no—
1255C22⋊Q8—1181no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8C22×D5911yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—591no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#120—21no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8—1181no—
1312C4×Q8—1181no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4C22×D5911yescharacteristic
1339C4×D4C22×D5911yescharacteristic
1340C4×D4C22×D5911yescharacteristic
1341#117—21no—
1342#117—591no—
1343#117—591no—
1344#117—591no—
1345#117—591no—
1346#117—1181no—
1347#117C22×D5911yescharacteristic
1348#117C22×D5911yescharacteristic
1349C2×C4⋊C4—591no—
1350C2×C4⋊C4—591no—
1351C2×C4⋊C4—591no—
1352C2×C4⋊C4—591no—
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—1181no—
1356C2×C4⋊C4—1181no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C42—591no—
1364#107—591no—
1365#107—591no—
1366#107C22×D5911yescharacteristic
1367#107C22×D5911yescharacteristic
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372#106—591no—
1373#106—591no—
1374#106—591no—
1375#106C22×D5911yescharacteristic
1376C4⋊C8—591no—
1377C4⋊C8—591no—
1378C4⋊C8—591no—
1379C4⋊C8C22×D5911yescharacteristic
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#103C22×D5911yescharacteristic
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428#97—591no—
1429#97—591no—
1430#97—591no—
1431#97C22×D5911yescharacteristic
1432C24—21no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—41no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—4722no—
1452#41—4722no—
1453#41—2361no—
1454#41—2364no—
1455#41—2361no—
1456#41—2361no—
1457#41—2364no—
1458C2×Q8—21no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—1181no—
1463C2×Q8C23×D5911yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—41no—
1471C2×D4—594no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—1182no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1182no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—2361no—
1514C2×D4—2364no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4D4×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—4722no—
1552C22×C4—4722no—
1553C22×C4C23×D5911yescharacteristic
1554C22×C4C23×D5911yescharacteristic
1555SD16—41no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—22no—
1560D8—41no—
1561D8—1182no—
1562D8—1182no—
1563D8—1182no—
1564D8—2361no—
1565D8—2361no—
1566D8—2361no—
1567M16—41no—
1568M16—1182no—
1569M16—1182no—
1570M16—2361no—
1571M16—2361no—
1572M16—2361no—
1573C2×C8—41no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—1182no—
1579C2×C8—1182no—
1580C2×C8—2361no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C2×C8C23×D5911yescharacteristic
1586C2×C8C23×D5911yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—591no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4D4×D5911yescharacteristic
1658C22⋊C4D4×D5911yescharacteristic
1659C42—21no—
1660C42—21no—
1661C42—591no—
1662C42—591no—
1663C42—591no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—591no—
1676C23—591no—
1677C23—591no—
1678C23—1184no—
1679C23—1181no—
1680C23—1181no—
1681C23—1181no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—2362no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23C2×D4×D5911yescharacteristic
1697C23C2×D4×D5911yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—81no—
1701Q8—1182no—
1702Q8—1182no—
1703Q8—1181no—
1704Q8—1181no—
1705Q8—2362no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—592no—
1718D4—1182no—
1719D4—1182no—
1720D4—1184no—
1721D4—1182no—
1722D4—1182no—
1723D4—1182no—
1724D4—1182no—
1725D4—1181no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—2361no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2361no—
1746D4—2361no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4#41×D5912yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—81no—
1766C2×C4—591no—
1767C2×C4—592no—
1768C2×C4—592no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—4721no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—2361no—
1792C2×C4—2361no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4C2×D4×D5911yescharacteristic
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C24×D5911yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1181no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—592no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1182no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—9442no—
1841C22—9442no—
1842C22—9442no—
1843C22—4724no—
1844C22—4724no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22C22×D4×D5911yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—592no—
1864C4—1181no—
1865C4—1181no—
1866C4—1181no—
1867C4—1181no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4—2361no—
1873C4C2×#41×D5911yescharacteristic
1874C4H(5,𝔽2)×D5911yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—1182no—
1881C2—4721no—
1882C2—4721no—
1883C2—2361no—
1884C2—2361no—
1885C2—2362no—
1886C2#546×D5911yescharacteristic
1887C2#2143887111yescharacteristic
1888C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#61218
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21437938C2semidirect
2. #21437856C2semidirect
3. #21436251C2semidirect
4. #21436249C2semidirect
5. #21436246C2semidirect
6. #21436243C2semidirect
7. #21436241C2semidirect
8. #21436240C2semidirect
9. #21436238C2semidirect
10. #21436070C2semidirect
11. #21436068C2semidirect
12. #21436067C2semidirect
13. #21436065C2semidirect
14. #21436064C2semidirect
15. #21436062C2semidirect
16. #21436059C2semidirect
17. #21436057C2semidirect
18. #21434438C2semidirect
19. #21434088C2semidirect
20. #21434082C2semidirect
21. #21433888C2semidirect
22. #21433775C2semidirect
23. #21433771C2semidirect
24. #21433558C2semidirect
25. #21433361C2semidirect
26. #21433359C2semidirect
27. #442×D59C2semidirect
28. #21432810C2semidirect
29. #21432621C2semidirect
30. #21432618C2semidirect
31. C59×#3319C2semidirect
34. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
37. C2×#14273735C22semidirect
38. C2×#14273733C22semidirect
42. #16838118C22semidirect
43. #16838104C22semidirect
44. #16838104C22semidirect
45. #16838096C22semidirect
46. #16838096C22semidirect
48. #16838057C22semidirect
49. #16838056C22semidirect
50. #16838054C22semidirect
51. #16838051C22semidirect
53. #16838048C22semidirect
54. #16838047C22semidirect
55. #16838045C22semidirect
58. #16838036C22semidirect
59. D4×C22⋊D59C22semidirect
65. #16837968C22semidirect
66. #16837968C22semidirect
69. #16837957C22semidirect
76. #16837882C22semidirect
77. #16837882C22semidirect
79. C4×D4×D59C22semidirect
80. #16837769C22semidirect
81. #16837769C22semidirect
82. #16837765C22semidirect
83. #16837765C22semidirect
84. #16837764C22semidirect
85. #16837762C22semidirect
86. #16837761C22semidirect
87. #16837745C22semidirect
88. #16837743C22semidirect
89. #16837741C22semidirect
90. #16837734C22semidirect
91. #16837733C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837726C22semidirect
96. #16837725C22semidirect
97. #16837722C22semidirect
98. #16837721C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837705C22semidirect
102. #16837705C22semidirect
103. #16837704C22semidirect
104. #16837704C22semidirect
105. #16837693C22semidirect
106. #16837692C22semidirect
107. #16837679C22semidirect
108. #16837655C22semidirect
109. #16837654C22semidirect
110. #16837653C22semidirect
111. #16837652C22semidirect
112. #16837651C22semidirect
113. #16837649C22semidirect
114. #16837646C22semidirect
115. #16837639C22semidirect
116. #16837637C22semidirect
117. #16837636C22semidirect
118. #16837633C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837614C22semidirect
125. #16837606C22semidirect
126. #16837605C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837550C22semidirect
130. #16837549C22semidirect
131. #16837548C22semidirect
132. #16837547C22semidirect
133. #16837546C22semidirect
134. #16837545C22semidirect
135. #16837544C22semidirect
136. #16837538C22semidirect
137. #16837537C22semidirect
138. #16837537C22semidirect
139. #16837536C22semidirect
140. #16837535C22semidirect
141. #16837534C22semidirect
142. #16837534C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837513C22semidirect
146. #16837512C22semidirect
147. #16837512C22semidirect
148. #16837511C22semidirect
149. #16837511C22semidirect
150. #16837476C22semidirect
151. #16837475C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837472C22semidirect
155. #16837471C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #106×D59C22semidirect
160. #16837424C22semidirect
161. #16837406C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837404C22semidirect
167. #16837403C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837400C22semidirect
171. #16837400C22semidirect
172. #16837397C22semidirect
173. #16837397C22semidirect
174. #16837397C22semidirect
175. #16837396C22semidirect
176. #16837395C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. C2×#14273649C22semidirect
180. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #97×D59C22semidirect
188. C59×#555C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
564. D4×D59#41semidirect
936. #3319D59semidirect
987. #555C2×D59semidirect
1003. #546C2×D59semidirect
1033. #489C2×D59semidirect
1037. #485C2×D59semidirect
1045. #482C2×D59semidirect
1057. #474C2×D59semidirect
1065. #468C2×D59semidirect
1069. #466C2×D59semidirect
1077. #463C2×D59semidirect
1089. #449C2×D59semidirect
1097. #447C2×D59semidirect
1105. #442C2×D59semidirect
1113. #435C2×D59semidirect
1123. #418C2×D59semidirect
1137. #416C2×D59semidirect
1147. C59#61218semidirect

Maximal subgroups

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

subgroupindex
#214379382
#214378562
#214362512
#214362492
#214362462
#214362432
#214362412
#214362402
#214362382
#214360702
#214360682
#214360672
#214360652
#214360642
#214360622
#214360592
#214360572
#214344382
#214340882
#214340822
#214338882
#214337752
#214337712
#214335582
#214333612
#214333592
#442×D592
#214328102
#214326212
#214326182
C59×#33192
#6121859