Finite Group Databasebeta

← #29466064

Subgroups — #29466064

Order 15104.

2106 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437830C211yesmaximal, characteristic, complemented
2#21437770C211yesmaximal, characteristic, complemented
3#21436280C211yesmaximal, characteristic, complemented
4#21436276C211yesmaximal, characteristic, complemented
5#21436274C211yesmaximal, characteristic, complemented
6#21436270C211yesmaximal, characteristic, complemented
7#21436076C211yesmaximal, characteristic, complemented
8#21436072C211yesmaximal, characteristic, complemented
9#21436054C211yesmaximal, characteristic, complemented
10#21436050C211yesmaximal, characteristic, complemented
11#21436020C211yesmaximal, characteristic, complemented
12#21436000C211yesmaximal, characteristic, complemented
13#21435993C211yesmaximal, characteristic, complemented
14#21435960C211yesmaximal, characteristic, complemented
15#21435956C211yesmaximal, characteristic, complemented
16#21435951C211yesmaximal, characteristic, complemented
17#21435947C211yesmaximal, characteristic, complemented
18#21434456C211yesmaximal, characteristic, complemented
19#21434082C211yesmaximal, characteristic, complemented
20#21434043C211yesmaximal, characteristic, complemented
21#21433953C211yesmaximal, characteristic, complemented
22#21433769C211yesmaximal, characteristic, complemented
23#465×D59C211yesmaximal, characteristic, complemented
24#21433603C211yesmaximal, characteristic, complemented
25#21433379C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21432921C211yesmaximal, characteristic, complemented
28#21432785C211yesmaximal, characteristic, complemented
29#21432625C211yesmaximal, characteristic, complemented
30#416×D59C211yesmaximal, characteristic, complemented
31C59×#3303C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C22×C8×D59C2211yescharacteristic
39#16838115C2211yescharacteristic, complemented
40#16838102C2211yescharacteristic
41#16838099C2211yescharacteristic, complemented
42#16838098C2211yescharacteristic, complemented
43#16838096C2211yescharacteristic
44#16838082—21no—
45#16838076—21no—
46#16838067C2211yescharacteristic, complemented
47#16838065C2211yescharacteristic, complemented
48#16838062C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic
51#16838053—21no—
52#16838052C2211yescharacteristic
53#16838051C2211yescharacteristic, complemented
54#16838050—21no—
55#16838047C2211yescharacteristic, complemented
56#16838045—21no—
57#16838044—21no—
58#16838041—21no—
59#16838041—21no—
60#16838040C2211yescharacteristic, complemented
61#16838029C2211yescharacteristic, complemented
62#16838016—21no—
63#16838002—21no—
64#16837982C2211yescharacteristic
65#16837979—21no—
66#16837977C2211yescharacteristic
67#16837974—21no—
68#16837968C2211yescharacteristic, complemented
69#16837951—21no—
70#16837930—21no—
71#16837911C2211yescharacteristic
72#16837910—21no—
73C2×#14273705—21no—
74C22⋊Q8×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic
76#16837882C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic
78#16837874C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837731C2211yescharacteristic, complemented
96#16837730C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic, complemented
99#16837722C2211yescharacteristic, complemented
100#16837721C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837684C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic, complemented
129#16837549C2211yescharacteristic
130#16837548C2211yescharacteristic, complemented
131#16837547C2211yescharacteristic
132#16837547C2211yescharacteristic, complemented
133#16837545C2211yescharacteristic
134#16837544C2211yescharacteristic, complemented
135#16837543C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic
137#16837542C2211yescharacteristic, complemented
138#16837540C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic
140#16837539C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic
142#16837534C2211yescharacteristic
143#16837514C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837493C2211yescharacteristic, complemented
148C4×#11745660C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837470C2211yescharacteristic, complemented
154C8×D236C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837410C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837409C2211yescharacteristic, complemented
165#16837403C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic
167#16837400C2211yescharacteristic
168#16837400C2211yescharacteristic, complemented
169#16837399C2211yescharacteristic, complemented
170#16837398C2211yescharacteristic, complemented
171#16837397C2211yescharacteristic
172#16837397C2211yescharacteristic
173#16837396C2211yescharacteristic, complemented
174#16837395C2211yescharacteristic
175#16837395C2211yescharacteristic
176#16837395C2211yescharacteristic, complemented
177C2×#14273652C2211yescharacteristic, complemented
178#103×D59C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187#16837356C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#487C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#485C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273774—24no—
204#14273774—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C22×Dic118—21no—
220C22×Dic118C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273754—42no—
231#14273751—24no—
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—42no—
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C2×C8×D59—42no—
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726—21no—
255#14273726—21no—
256#14273726C2311yescharacteristic
257#14273725—21no—
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273722—21no—
261#14273721—21no—
262#14273720—21no—
263#14273720—21no—
264#14273719C2311yescharacteristic
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712D411yescharacteristic
279#14273711—21no—
280#14273710—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273707C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705D411yescharacteristic
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704D411yescharacteristic
307#14273703—21no—
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273701—21no—
316#14273701C2311yescharacteristic
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700D411yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699D411yescharacteristic
333#14273698—21no—
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273697—21no—
337#14273697—21no—
338#14273697D411yescharacteristic
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344#14273692C2311yescharacteristic
345C4×D236—21no—
346C4×D236—21no—
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351#14273689—21no—
352#14273689—21no—
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
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(C22⋊D59)⋊C4—21no—
367#14273686C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684—21no—
372#14273684—21no—
373#14273684C2311yescharacteristic
374#14273683—21no—
375#14273683—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
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#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
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
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490#41×C59—22no—
491#41×C59—22no—
492#41×C59—41no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—82no—
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—41no—
539Q8×D59—41no—
540#11745687—22no—
541#11745687—22no—
542#11745687—41no—
543#11745687—44no—
544#11745687—44no—
545#11745687—44no—
546#11745687—82no—
547#11745687#4114yescomplemented
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—22no—
551D4×D59—41no—
552D4×D59—44no—
553D4×D59—82no—
554#11745685—22no—
555#11745685—22no—
556#11745685—22no—
557#11745685—41no—
558#11745685—44no—
559#11745685—44no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236C2×D411yescharacteristic
565C2×D236C2×D411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×C4×D59—22no—
569C2×C4×D59—22no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
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—44no—
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×C4×D59C2411yescharacteristic
588C2×Dic118—22no—
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118—41no—
595C2×Dic118—44no—
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—41no—
600SD16×C59—41no—
601D8×C59—22no—
602C2×C8×C59—41no—
603C2×C8×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C42×C59—21no—
629C42×C59—21no—
630C42×C59C2411yescharacteristic
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59C2×D411yescharacteristic
638C22⋊Dic59C2×D411yescharacteristic
639#11745671—41no—
640#11745671—41no—
641#11745670—22no—
642#11745670—41no—
643#11745669—22no—
644#11745669—41no—
645(C2×D59)⋊C4—21no—
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)⋊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)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59C2×D411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
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—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710D472—41no—
711#11745660—22no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716C8×D59—22no—
717C8×D59—22no—
718C8×D59—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—22no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738C22×D59C22×D411yescharacteristic
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—81no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—41no—
748D4×C59—42no—
749D4×C59—42no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59C2×#4112yes—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
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—42no—
764C2×C4×C59—42no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2511yescharacteristic
772C22⋊D59—22no—
773C22⋊D59—24no—
774C22⋊D59—22no—
775C22⋊D59—22no—
776C22⋊D59—41no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C2×Dic59—21no—
787C2×Dic59—24no—
788C2×Dic59—22no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804D236—22no—
805D236—22no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—42no—
811D236—42no—
812D236—81no—
813D236—81no—
814C4×D59—22no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—22no—
820C4×D59—42no—
821C4×D59—42no—
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×D59C2×#4112yes—
833C4×D59H(5,𝔽2)12yes—
834Dic118—21no—
835Dic118—22no—
836Dic118—21no—
837Dic118—21no—
838Dic118—42no—
839Dic118—42no—
840Dic118—42no—
841Dic118—42no—
842Dic118—81no—
843Dic118C2×#4112yes—
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#61174—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—22no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—44no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—84no—
881C2×D59—162no—
882C2×D59#54612yes—
883C2×D59#57712yes—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—41no—
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—22no—
899Dic59—21no—
900Dic59—21no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#54612yes—
907#3494—591no—
908#3489—591no—
909#3321—591no—
910#3321—591no—
911#3320—591no—
912#3320—591no—
913#3307—591no—
914#3307—591no—
915#3306—591no—
916#3306—591no—
917#3303—591no—
918#3303D5911yescharacteristic, complemented
919#3301—591no—
920#3301—591no—
921#3298—591no—
922#3298—591no—
923#3297—591no—
924#3297—591no—
925#3137—591no—
926#3099—591no—
927#3095—591no—
928#3084—591no—
929#3062—591no—
930C2×#465—591no—
931#3042—591no—
932#3010—591no—
933#3006—591no—
934#2946—591no—
935#2929—591no—
936#2898—591no—
937C2×#416—591no—
938C2×C59—41no—
939C2×C59—42no—
940C2×C59—41no—
941C2×C59—81no—
942C2×C59C2×#54611yescharacteristic
943C2×C59C2×#57711yescharacteristic
944C2×C59#358411yescharacteristic
945D59—22no—
946D59—22no—
947D59—41no—
948D59—81no—
949D59—81no—
950C2×2−1+4—591no—
951C22×#41—591no—
952C2×AGL(1,ℤ/8)—591no—
953C2×AGL(1,ℤ/8)—591no—
954C22×SD16—591no—
955C2×#131—591no—
956C23×C8—591no—
957#555—591no—
958#555C2×D5911yescharacteristic, complemented
959#553—591no—
960#553—591no—
961#553—591no—
962#553—591no—
963#551—1181no—
964#551—1181no—
965D4×Q8—591no—
966D4×Q8—591no—
967#548—591no—
968#548—591no—
969#547—591no—
970#547—591no—
971#547—591no—
972#547—1181no—
973#547—1181no—
974#547C2×D5911yescharacteristic, complemented
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979#546—1181no—
980#546—1181no—
981#544—591no—
982#542—1181no—
983#540—1181no—
984#537—591no—
985#537—1181no—
986#536—591no—
987#536—1181no—
988#535—591no—
989#532—1181no—
990#529—1181no—
991#525—591no—
992#525—1181no—
993C2×C22⋊Q8—591no—
994C2×C22⋊Q8—1181no—
995C2×#121—591no—
996#520—591no—
997#520—591no—
998#518—591no—
999C2×#117—591no—
1000#491—591no—
1001#491—591no—
1002#489—591no—
1003#489—591no—
1004#488—591no—
1005#488—591no—
1006#487—591no—
1007#487C2×D5911yescharacteristic, complemented
1008#485—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485C2×D5911yescharacteristic, complemented
1013#485C2×D5911yescharacteristic, complemented
1014#484—591no—
1015#484—591no—
1016#483—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#482—591no—
1021#482—591no—
1022#481—591no—
1023#481—591no—
1024#479—591no—
1025#479—591no—
1026#478—591no—
1027#478—591no—
1028#476—591no—
1029#476C2×D5911yescharacteristic, complemented
1030#475—591no—
1031#475—591no—
1032#469—591no—
1033#469—591no—
1034#468—591no—
1035#468—591no—
1036#466—591no—
1037#466—591no—
1038#465—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#465—591no—
1044#465—591no—
1045#465—591no—
1046#465C2×D5911yescharacteristic, complemented
1047#465C2×D5911yescharacteristic, complemented
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#461—591no—
1053#461—591no—
1054#461—591no—
1055#461C2×D5911yescharacteristic, complemented
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449C2×D5911yescharacteristic
1063#449C2×D5911yescharacteristic, complemented
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#448—591no—
1070#447—591no—
1071#447—591no—
1072#442—591no—
1073#442—591no—
1074#440—591no—
1075#440—591no—
1076C4×SD16—591no—
1077C4×SD16—591no—
1078C4×D8—591no—
1079C4×D8C2×D5911yescharacteristic, complemented
1080#435—591no—
1081#435—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085C8×D4—591no—
1086C8×D4—591no—
1087C8×D4C2×D5911yescharacteristic, complemented
1088#428—591no—
1089#428—591no—
1090C2×#106—591no—
1091#424—591no—
1092#419—591no—
1093#419—591no—
1094#419—591no—
1095#419—591no—
1096#417—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#416—591no—
1101#416—591no—
1102#416—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107#416—591no—
1108#416C2×D5911yescharacteristic, complemented
1109#416C2×D5911yescharacteristic, complemented
1110C2×#103—591no—
1111C2×#103—591no—
1112C2×#103—591no—
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118#408—591no—
1119#407—591no—
1120#405—591no—
1121C59#6117411yescharacteristic, complemented, Sylow
11222−1+4—1184no—
11232−1+4—2362no—
1124C2×#41—591no—
1125C2×#41—591no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—1181no—
1130C2×#41—1181no—
1131C2×#41—1181no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1184no—
1137C2×#41—2362no—
1138C2×#41C22×D5911yescharacteristic
1139C2×#41C22×D5911yescharacteristic
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—591no—
1143C22×Q8—591no—
1144C22×Q8—1181no—
1145C22×D4—591no—
1146C22×D4—591no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151AGL(1,ℤ/8)—1184no—
1152AGL(1,ℤ/8)—2362no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—591no—
1159C2×SD16—2362no—
1160C2×SD16C22×D5911yescharacteristic
1161C2×SD16C22×D5911yescharacteristic
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8C22×D5911yescharacteristic
1166#131—2362no—
1167C2×M16—591no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C22×C8—591no—
1172C22×C8—591no—
1173C22×C8—591no—
1174C22×C8—591no—
1175C22×C8—591no—
1176C22×C8—591no—
1177C22×C8—2362no—
1178C22×C8C22×D5911yescharacteristic
1179C22×C8C22×D5911yescharacteristic
1180C4⋊Q8—591no—
1181C4⋊Q8—591no—
1182C4⋊Q8—1181no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186C4⋊Q8C22×D5911yescharacteristic
1187#127—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#126—1181no—
1192#125—591no—
1193#125—591no—
1194#125—1181no—
1195#124—21no—
1196#124—21no—
1197#124—591no—
1198#124—591no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#123—21no—
1205#123—21no—
1206#123—591no—
1207#123—591no—
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—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8C22×D5911yescharacteristic
1244C22⋊Q8C22×D5911yescharacteristic
1245#121—21no—
1246#121—21no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—1181no—
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#121—1181no—
1271#121—1181no—
1272#121C22×D5911yescharacteristic
1273#121C22×D5911yescharacteristic
1274#120—591no—
1275#120—591no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—1181no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308#117—21no—
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117C22×D5911yescharacteristic
1319#117C22×D5911yescharacteristic
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—591no—
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C22⋊C4—1181no—
1333C2×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C42—1181no—
1338#107—591no—
1339#107—591no—
1340#107—591no—
1341#107C22×D5911yescharacteristic
1342#106—591no—
1343#106—591no—
1344#106—591no—
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106C22×D5911yescharacteristic
1349#106C22×D5911yescharacteristic
1350C4⋊C8—591no—
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8C22×D5911yescharacteristic
1354#103—591no—
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#103C22×D5911yescharacteristic
1376#103C22×D5911yescharacteristic
1377#103C22×D5911yescharacteristic
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#102—591no—
1389#102—591no—
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394C22⋊C8—591no—
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8C22×D5911yescharacteristic
1401C22⋊C8C22×D5911yescharacteristic
1402#97—591no—
1403#97—591no—
1404C4×C8—591no—
1405C4×C8C22×D5911yescharacteristic
1406C24—591no—
1407C24—1181no—
1408C24—1181no—
1409#41—22no—
1410#41—22no—
1411#41—41no—
1412#41—41no—
1413#41—594no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—4722no—
1422#41—4722no—
1423#41—2361no—
1424#41—2364no—
1425#41—2364no—
1426#41—2364no—
1427#41—2361no—
1428#41—2364no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—591no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—1182no—
1441C2×Q8—1181no—
1442C2×Q8—1182no—
1443C2×Q8—1182no—
1444C2×Q8—2361no—
1445C2×Q8—2364no—
1446C2×Q8—2361no—
1447C2×Q8—2361no—
1448C2×Q8C23×D5911yescharacteristic
1449C2×Q8C23×D5911yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1182no—
1467C2×D4—1182no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1182no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2364no—
1482C2×D4D4×D5911yescharacteristic
1483C2×D4C23×D5911yescharacteristic
1484C2×D4C23×D5911yescharacteristic
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—1182no—
1496C22×C4—1182no—
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—1181no—
1514C22×C4—1181no—
1515C22×C4—2364no—
1516C22×C4C23×D5911yescharacteristic
1517C22×C4C23×D5911yescharacteristic
1518SD16—41no—
1519SD16—41no—
1520SD16—1182no—
1521SD16—1182no—
1522SD16—2361no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—22no—
1527D8—1182no—
1528D8—2361no—
1529D8—2361no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534C2×C8—41no—
1535C2×C8—41no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—1182no—
1541C2×C8—1182no—
1542C2×C8—2361no—
1543C2×C8—2361no—
1544C2×C8—2361no—
1545C2×C8—2361no—
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C2×C8C23×D5911yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1584C4⋊C4C23×D5911yescharacteristic
1585C4⋊C4C23×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—591no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—591no—
1643C23—591no—
1644C23—591no—
1645C23—1182no—
1646C23—1182no—
1647C23—1181no—
1648C23—1181no—
1649C23—4721no—
1650C23—4721no—
1651C23—4721no—
1652C23—2361no—
1653C23—2362no—
1654C23—2362no—
1655C23—2362no—
1656C23C2×D4×D5911yescharacteristic
1657C23C2×D4×D5911yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—81no—
1663Q8—592no—
1664Q8—1182no—
1665Q8—1181no—
1666Q8—1181no—
1667Q8—1181no—
1668Q8—4721no—
1669Q8—2362no—
1670Q8—2362no—
1671Q8—2362no—
1672Q8—2362no—
1673D4—21no—
1674D4—21no—
1675D4—21no—
1676D4—41no—
1677D4—42no—
1678D4—42no—
1679D4—81no—
1680D4—81no—
1681D4—1182no—
1682D4—1182no—
1683D4—1182no—
1684D4—1182no—
1685D4—1182no—
1686D4—1184no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—1181no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—4721no—
1696D4—4721no—
1697D4—2362no—
1698D4—2362no—
1699D4—2362no—
1700D4—2361no—
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—21no—
1716C2×C4—42no—
1717C2×C4—42no—
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—1184no—
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×C4C2×D4×D5911yescharacteristic
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C24×D5911yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—1181no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C22—21no—
1772C22—21no—
1773C22—22no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—592no—
1784C22—592no—
1785C22—1181no—
1786C22—1181no—
1787C22—1181no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—9442no—
1793C22—4724no—
1794C22—2364no—
1795C22—2361no—
1796C22—2361no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22C22×D4×D5911yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—592no—
1813C4—1181no—
1814C4—1181no—
1815C4—1182no—
1816C4—1181no—
1817C4—1181no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4C2×#41×D5911yescharacteristic
1824C4H(5,𝔽2)×D5911yescharacteristic
1825C2—41no—
1826C2—41no—
1827C2—42no—
1828C2—81no—
1829C2—1182no—
1830C2—1182no—
1831C2—4721no—
1832C2—4721no—
1833C2—2361no—
1834C2#546×D5911yescharacteristic
1835C2#577×D5911yescharacteristic
1836C2#2143886511yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3303C2
socleC22×C59C23×D4
hypercenter#3303D59
hypocenterC59#61174
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #21437830C2semidirect
2. #21437770C2semidirect
3. #21436280C2semidirect
4. #21436276C2semidirect
5. #21436274C2semidirect
6. #21436270C2semidirect
7. #21436076C2semidirect
8. #21436072C2semidirect
9. #21436054C2semidirect
10. #21436050C2semidirect
11. #21436020C2semidirect
12. #21436000C2semidirect
13. #21435993C2semidirect
14. #21435960C2semidirect
15. #21435956C2semidirect
16. #21435951C2semidirect
17. #21435947C2semidirect
18. #21434456C2semidirect
19. #21434082C2semidirect
20. #21434043C2semidirect
21. #21433953C2semidirect
22. #21433769C2semidirect
23. #465×D59C2semidirect
24. #21433603C2semidirect
25. #21433379C2semidirect
26. #21433345C2semidirect
27. #21432921C2semidirect
28. #21432785C2semidirect
29. #21432625C2semidirect
30. #416×D59C2semidirect
31. C59×#3303C2semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
39. #16838115C22semidirect
41. #16838099C22semidirect
42. #16838098C22semidirect
46. #16838067C22semidirect
47. #16838065C22semidirect
48. #16838062C22semidirect
49. #16838061C22semidirect
53. #16838051C22semidirect
55. #16838047C22semidirect
60. #16838040C22semidirect
61. #16838029C22semidirect
68. #16837968C22semidirect
76. #16837882C22semidirect
78. #16837874C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837764C22semidirect
83. #16837763C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837751C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837741C22semidirect
90. #16837740C22semidirect
91. #16837739C22semidirect
92. #16837736C22semidirect
93. #16837734C22semidirect
94. #16837731C22semidirect
95. #16837731C22semidirect
96. #16837730C22semidirect
97. #16837729C22semidirect
98. #16837726C22semidirect
99. #16837722C22semidirect
100. #16837721C22semidirect
101. #16837712C22semidirect
102. #16837710C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837686C22semidirect
107. #16837684C22semidirect
108. #16837656C22semidirect
109. #16837653C22semidirect
110. #16837650C22semidirect
111. #16837645C22semidirect
112. #16837638C22semidirect
113. #16837637C22semidirect
115. #16837634C22semidirect
116. #16837633C22semidirect
118. #16837631C22semidirect
120. #16837629C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837606C22semidirect
127. #16837605C22semidirect
128. #16837604C22semidirect
130. #16837548C22semidirect
132. #16837547C22semidirect
134. #16837544C22semidirect
135. #16837543C22semidirect
137. #16837542C22semidirect
138. #16837540C22semidirect
140. #16837539C22semidirect
143. #16837514C22semidirect
144. #16837512C22semidirect
145. #16837502C22semidirect
146. #16837501C22semidirect
147. #16837493C22semidirect
148. C4×#11745660C22semidirect
149. #16837482C22semidirect
150. #16837476C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837470C22semidirect
154. C8×D236C22semidirect
155. C8×C22⋊D59C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837410C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837409C22semidirect
165. #16837403C22semidirect
168. #16837400C22semidirect
169. #16837399C22semidirect
170. #16837398C22semidirect
173. #16837396C22semidirect
176. #16837395C22semidirect
177. C2×#14273652C22semidirect
178. #103×D59C22semidirect
179. #103×D59C22semidirect
180. #103×D59C22semidirect
181. #103×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
187. #16837356C22semidirect
188. C59×#555C22semidirect
189. C59×#547C22semidirect
190. C59×#487C22semidirect
191. C59×#485C22semidirect
192. C59×#485C22semidirect
193. C59×#476C22semidirect
194. C59×#465C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
198. C59×#449C22semidirect
199. C4×D8×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C59×#416C22semidirect
547. #11745687#41semidirect
918. #3303D59semidirect
958. #555C2×D59semidirect
974. #547C2×D59semidirect
1007. #487C2×D59semidirect
1012. #485C2×D59semidirect
1013. #485C2×D59semidirect
1029. #476C2×D59semidirect
1046. #465C2×D59semidirect
1047. #465C2×D59semidirect
1055. #461C2×D59semidirect
1063. #449C2×D59semidirect
1079. C4×D8C2×D59semidirect
1087. C8×D4C2×D59semidirect
1108. #416C2×D59semidirect
1109. #416C2×D59semidirect
1121. C59#61174semidirect

Maximal subgroups

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

subgroupindex
#214378302
#214377702
#214362802
#214362762
#214362742
#214362702
#214360762
#214360722
#214360542
#214360502
#214360202
#214360002
#214359932
#214359602
#214359562
#214359512
#214359472
#214344562
#214340822
#214340432
#214339532
#214337692
#465×D592
#214336032
#214333792
#214333452
#214329212
#214327852
#214326252
#416×D592
C59×#33032
#6117459