Finite Group Databasebeta

← #29474405

Subgroups — #29474405

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438416C211yesmaximal, characteristic, complemented
2#21437738C211yesmaximal, characteristic, complemented
3#21436399C211yesmaximal, characteristic, complemented
4#21436315C211yesmaximal, characteristic, complemented
5#21436258C211yesmaximal, characteristic, complemented
6#21436195C211yesmaximal, characteristic, complemented
7#21436078C211yesmaximal, characteristic, complemented
8#21436060C211yesmaximal, characteristic, complemented
9#21436019C211yesmaximal, characteristic, complemented
10#21435941C211yesmaximal, characteristic, complemented
11#21435823C211yesmaximal, characteristic, complemented
12#21435784C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435694C211yesmaximal, characteristic, complemented
15#21435633C211yesmaximal, characteristic, complemented
16#21435619C211yesmaximal, characteristic, complemented
17#21435618C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435201C211yesmaximal, characteristic, complemented
20#21435155C211yesmaximal, characteristic, complemented
21#21434976C211yesmaximal, characteristic, complemented
22#21434970C211yesmaximal, characteristic, complemented
23#21434933C211yesmaximal, characteristic, complemented
24#21434335C211yesmaximal, characteristic, complemented
25#21434275C211yesmaximal, characteristic, complemented
26#21433398C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433346C211yesmaximal, characteristic, complemented
29#21433318C211yesmaximal, characteristic, complemented
30#21433141C211yesmaximal, characteristic, complemented
31C59×#3188C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C22×#11745685C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273753C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273749C2211yescharacteristic, complemented
40C2×#14273748C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838147—21no—
43#16838140—21no—
44#16838116C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic, complemented
46#16838087C2211yescharacteristic, complemented
47#16838078—21no—
48#16838070C2211yescharacteristic, complemented
49#16838057—21no—
50#16838057—21no—
51#16838054C2211yescharacteristic
52#16838054C2211yescharacteristic, complemented
53#16838054C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838053C2211yescharacteristic, complemented
56#16838049C2211yescharacteristic
57#16838049C2211yescharacteristic, complemented
58#16838049C2211yescharacteristic, complemented
59#16838049C2211yescharacteristic, complemented
60#16838049C2211yescharacteristic, complemented
61#16838048—21no—
62#16838048—21no—
63#16838046C2211yescharacteristic, complemented
64#16838042—21no—
65D4×C22⋊D59C2211yescharacteristic, complemented
66#16838019C2211yescharacteristic, complemented
67#16838005C2211yescharacteristic, complemented
68#16838002—21no—
69#16837984—21no—
70#16837981C2211yescharacteristic
71#16837978C2211yescharacteristic, complemented
72#16837973C2211yescharacteristic, complemented
73#16837969—21no—
74#16837968C2211yescharacteristic
75#16837962—21no—
76#16837962—21no—
77#16837961—21no—
78#16837913C2211yescharacteristic
79#16837913C2211yescharacteristic, complemented
80#123×D59—21no—
81#123×D59—21no—
82#16837876C2211yescharacteristic, complemented
83#16837793C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837751C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837743C2211yescharacteristic, complemented
94#16837740C2211yescharacteristic, complemented
95#16837739C2211yescharacteristic, complemented
96#16837734C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837658C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837623C2211yescharacteristic, complemented
116#16837616C2211yescharacteristic, complemented
117#16837616C2211yescharacteristic, complemented
118#16837616C2211yescharacteristic, complemented
119#16837615C2211yescharacteristic, complemented
120#16837615C2211yescharacteristic, complemented
121#16837611C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837605C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837560C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic, complemented
141#16837549C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837546C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic, complemented
148#16837545C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837543C2211yescharacteristic, complemented
151#16837540C2211yescharacteristic, complemented
152#16837540C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic
156#16837535C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837489C2211yescharacteristic, complemented
164#16837484C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837477C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175#16837460C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837399C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837366C2211yescharacteristic, complemented
188C59×#525C2211yescharacteristic, complemented
189C2×#121×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#481C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—42no—
212C2×#11745685—42no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231#14273754—42no—
232#14273753—42no—
233#14273753—42no—
234#14273751—42no—
235#14273749—42no—
236#14273749—42no—
237#14273748—42no—
238C2×Dic236C2311yescharacteristic
239C2×Dic236C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258D8×D59—42no—
259C2×#11745664C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265#14273727—21no—
266#14273726C2311yescharacteristic
267#14273725C2311yescharacteristic
268#14273725C2311yescharacteristic
269#14273723—21no—
270#14273723—21no—
271#14273723C2311yescharacteristic
272#14273722—21no—
273#14273720—21no—
274#14273720—21no—
275#14273718C2311yescharacteristic
276#14273717—21no—
277#14273715—21no—
278#14273714—21no—
279#14273714—21no—
280#14273714C2311yescharacteristic
281#14273714C2311yescharacteristic
282#14273714C2311yescharacteristic
283#14273713—21no—
284#14273713—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273710D411yescharacteristic
297#14273710D411yescharacteristic
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273709—21no—
308#14273708—21no—
309#14273708—21no—
310#14273708—21no—
311#14273708—21no—
312#14273708—21no—
313#14273707C2311yescharacteristic
314#14273707C2311yescharacteristic
315#14273707C2311yescharacteristic
316#14273707C2311yescharacteristic
317#14273707C2311yescharacteristic
318#14273706—21no—
319#14273706—21no—
320#14273706D411yescharacteristic
321#14273706D411yescharacteristic
322#14273706C2311yescharacteristic
323#14273706C2311yescharacteristic
324#14273705—21no—
325#14273704—21no—
326#14273704—21no—
327#14273702C2311yescharacteristic
328#14273701D411yescharacteristic
329#14273701D411yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273698—21no—
345#14273698—21no—
346#14273698—21no—
347#14273698—21no—
348#14273698—21no—
349#14273698—21no—
350#14273698—21no—
351#14273698—21no—
352#14273698C2311yescharacteristic
353#14273698C2311yescharacteristic
354#14273697—21no—
355#14273696—21no—
356#14273696—21no—
357#14273696—21no—
358#14273696D411yescharacteristic
359#14273696D411yescharacteristic
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273692C2311yescharacteristic
368C4×D236—21no—
369C4×D236—21no—
370D4×Dic59C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372#14273689C2311yescharacteristic
373#14273689C2311yescharacteristic
374#14273689C2311yescharacteristic
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381C4×C22⋊D59C2311yescharacteristic
382C4×C22⋊D59C2311yescharacteristic
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385#14273686—21no—
386#14273686C2311yescharacteristic
387#14273686C2311yescharacteristic
388#14273685C2311yescharacteristic
389#14273683—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59C2311yescharacteristic
395C2×C22⋊Dic59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
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#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C23×C4×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468#120×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59C2×D411yescharacteristic
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59—82no—
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—41no—
516C22×C4×C59—41no—
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—82no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550#11745689—22no—
551#11745689—22no—
552#11745689—41no—
553#11745689—41no—
554#11745687—41no—
555#11745687—41no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—44no—
563D4×D59—44no—
564#11745685—22no—
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—44no—
577#11745685—44no—
578#11745685—44no—
579#11745685—82no—
580C2×D236—21no—
581C2×D236—22no—
582C2×D236—22no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—44no—
587C2×D236C2×D411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×D236C2411yescharacteristic
590C2×D236C2411yescharacteristic
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—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—44no—
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—41no—
610C2×Dic118—41no—
611C2×Dic118C2×D411yescharacteristic
612C2×Dic118C2411yescharacteristic
613C2×Dic118C2411yescharacteristic
614C2×Dic118C2411yescharacteristic
615SD16×C59—41no—
616SD16×C59—41no—
617D8×C59—41no—
618D8×C59—41no—
619C2×C8×C59—41no—
620C2×C8×C59—41no—
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C42×C59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59C2×D411yescharacteristic
656C22⋊Dic59C2×D411yescharacteristic
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661#11745672—41no—
662#11745671—41no—
663#11745670—41no—
664#11745670—41no—
665#11745670—41no—
666#11745670—41no—
667#11745670—41no—
668#11745669—22no—
669#11745669—22no—
670#11745669—22no—
671#11745669—22no—
672#11745669—41no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59C2×D411yescharacteristic
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721#11745664—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726Dic236—41no—
727Dic236—41no—
728D472—22no—
729D472—22no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—41no—
742C23×C59—41no—
743C23×C59—41no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—24no—
753C22×D59—21no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—42no—
776D4×C59—81no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59—81no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—41no—
795C2×C4×C59—41no—
796C2×C4×C59—41no—
797C2×C4×C59—42no—
798C2×C4×C59—42no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C2511yescharacteristic
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—42no—
830C2×Dic59—81no—
831C2×Dic59—81no—
832C2×Dic59—81no—
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839D236—24no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—41no—
845D236—42no—
846D236—42no—
847D236—81no—
848D236H(5,𝔽2)12yes—
849D236H(5,𝔽2)12yes—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866C4×D59—81no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—21no—
873Dic118—41no—
874Dic118—42no—
875Dic118—81no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61614—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—82no—
904C22×C59—162no—
905C22×C59C23×D411yescharacteristic
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—22no—
913C2×D59—22no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—84no—
922C2×D59—162no—
923C2×D59—162no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935Dic59—21no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3542—591no—
947#3485—591no—
948#3330—591no—
949#3323—591no—
950#3319—591no—
951#3315—591no—
952#3307—591no—
953#3306—591no—
954#3303—591no—
955#3297—591no—
956#3284—591no—
957#3280—591no—
958#3273—591no—
959#3272—591no—
960#3268—591no—
961#3267—591no—
962#3267—591no—
963#3264—591no—
964#3225—591no—
965#3221—591no—
966#3201—591no—
967#3200—591no—
968#3197—591no—
969#3188D5911yescharacteristic, complemented
970#3122—591no—
971#3118—591no—
972#3012—591no—
973#3008—591no—
974#3006—591no—
975#3002—591no—
976#2976—591no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59—81no—
983C2×C59#348411yescharacteristic
984C2×C59#358411yescharacteristic
985C2×C59#358511yescharacteristic
986D59—41no—
987D59—41no—
988D59—42no—
989D59—42no—
990D59—81no—
991C2×H(5,𝔽2)—591no—
992C22×#41—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)—591no—
997C2×#135—591no—
998C2×#135—591no—
999C2×#135—591no—
1000C22×D8—591no—
1001#562—1181no—
1002#560—1181no—
1003#555—591no—
1004#553—591no—
1005#552—591no—
1006#551—1181no—
1007#550—591no—
1008#547—591no—
1009#547—591no—
1010#547—591no—
1011#547—591no—
1012#547—591no—
1013#547—1181no—
1014#547—1181no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—591no—
1019#546—591no—
1020#546—591no—
1021#546—1181no—
1022#546—1181no—
1023#546—1181no—
1024D42—591no—
1025#542—591no—
1026#540—591no—
1027#540—1181no—
1028#538—1181no—
1029#537—591no—
1030#536—591no—
1031#536—591no—
1032#535—591no—
1033#535—1181no—
1034#534—1181no—
1035#534—1181no—
1036#534—1181no—
1037#525—591no—
1038#525—591no—
1039#525C2×D5911yescharacteristic, complemented
1040C2×#123—1181no—
1041C2×#123—1181no—
1042C2×#121C2×D5911yescharacteristic, complemented
1043#518—591no—
1044#497—591no—
1045#496—591no—
1046#495—591no—
1047#492—591no—
1048#491—591no—
1049#489—591no—
1050#488—591no—
1051#487—591no—
1052#485—591no—
1053#485—591no—
1054#485—591no—
1055#485—591no—
1056#484—591no—
1057#484C2×D5911yescharacteristic, complemented
1058#483—591no—
1059#482—591no—
1060#482—591no—
1061#482C2×D5911yescharacteristic, complemented
1062#482C2×D5911yescharacteristic, complemented
1063#481C2×D5911yescharacteristic, complemented
1064#478—591no—
1065#478—591no—
1066#476—591no—
1067#474—591no—
1068#470—591no—
1069#470—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468—591no—
1076#467—591no—
1077#466C2×D5911yescharacteristic, complemented
1078#466C2×D5911yescharacteristic, complemented
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465C2×D5911yescharacteristic, complemented
1083#465C2×D5911yescharacteristic, complemented
1084#464—591no—
1085#463—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#462—591no—
1091#461—591no—
1092#461—591no—
1093#461—591no—
1094#459—591no—
1095#459—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#451—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450C2×D5911yescharacteristic, complemented
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449C2×D5911yescharacteristic
1121#449C2×D5911yescharacteristic, complemented
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#447C2×D5911yescharacteristic, complemented
1132#442—591no—
1133#442—591no—
1134#442—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139C4×D8—591no—
1140#436—591no—
1141#436—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146C8×D4—591no—
1147C8×D4—591no—
1148#433—591no—
1149#433—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#417—591no—
1154#416—591no—
1155#416—591no—
1156#416—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#407—591no—
1161C2×C22⋊C8C2×D5911yescharacteristic, complemented
1162C59#6161411yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2362no—
1164H(5,𝔽2)—2362no—
1165C2×#41—591no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—2362no—
1179C2×#41—2362no—
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×D4—21no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4C22×D5911yescharacteristic
1193C23×C4—1181no—
1194C23×C4C22×D5911yescharacteristic
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201#135—2362no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16C22×D5911yescharacteristic
1216C2×SD16C22×D5911yescharacteristic
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—2362no—
1225C2×D8C22×D5911yescharacteristic
1226C2×D8C22×D5911yescharacteristic
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8C22×D5911yescharacteristic
1234C22×C8C22×D5911yescharacteristic
1235C4⋊Q8—591no—
1236C4⋊Q8—591no—
1237C4⋊Q8—591no—
1238C4⋊Q8—1181no—
1239#127—591no—
1240#127—1181no—
1241#127—1181no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#125—591no—
1246#125—1181no—
1247#124—591no—
1248#124—591no—
1249#124—591no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#123—21no—
1256#123—591no—
1257#123—591no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—591no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121C22×D5911yescharacteristic
1330#121C22×D5911yescharacteristic
1331#121C22×D5911yescharacteristic
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#121C22×D5911yescharacteristic
1335#120—21no—
1336#120—591no—
1337#120—591no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8—591no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—591no—
1362C4×D4—591no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369#117—591no—
1370#117—591no—
1371#117—591no—
1372#117—1181no—
1373#117—1181no—
1374#117C22×D5911yescharacteristic
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—1181no—
1377C2×C4⋊C4—1181no—
1378C2×C4⋊C4—1181no—
1379C2×C4⋊C4—1181no—
1380C2×C4⋊C4C22×D5911yescharacteristic
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C22⋊C4—1181no—
1390#107—591no—
1391#107—591no—
1392#107C22×D5911yescharacteristic
1393#107C22×D5911yescharacteristic
1394#106—591no—
1395#106—591no—
1396#106C22×D5911yescharacteristic
1397#106C22×D5911yescharacteristic
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103C22×D5911yescharacteristic
1415#103C22×D5911yescharacteristic
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102C22×D5911yescharacteristic
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433#102C22×D5911yescharacteristic
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445C22⋊C8C22×D5911yescharacteristic
1446#97—591no—
1447#97—591no—
1448C4×C8—591no—
1449C4×C8—591no—
1450C24—21no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454C24—1181no—
1455C24D4×D5911yescharacteristic
1456#41—41no—
1457#41—41no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—1182no—
1464#41—4722no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2364no—
1474#41—2364no—
1475#41—2364no—
1476#41—2361no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—591no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—2361no—
1487C2×Q8—2361no—
1488C2×Q8C23×D5911yescharacteristic
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—82no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—1182no—
1511C2×D4—1182no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1182no—
1521C2×D4—1182no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—4722no—
1534C2×D4—2364no—
1535C2×D4—2361no—
1536C2×D4—2361no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2364no—
1540C2×D4—2364no—
1541C2×D4—2364no—
1542C2×D4C23×D5911yescharacteristic
1543C2×D4C23×D5911yescharacteristic
1544C2×D4C23×D5911yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—41no—
1548C22×C4—41no—
1549C22×C4—591no—
1550C22×C4—591no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—2364no—
1569C22×C4D4×D5911yescharacteristic
1570C22×C4D4×D5911yescharacteristic
1571C22×C4D4×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—2361no—
1576Q16—2361no—
1577Q16—2361no—
1578SD16—41no—
1579SD16—41no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—2361no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590D8—41no—
1591D8—41no—
1592D8—1182no—
1593D8—1182no—
1594D8—1182no—
1595D8—1182no—
1596D8—1182no—
1597D8—1182no—
1598D8—2361no—
1599M16—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8C23×D5911yescharacteristic
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4C23×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
1663C22⋊C4—591no—
1664C22⋊C4—591no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C42—21no—
1693C42—591no—
1694C42—591no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—42no—
1705C23—81no—
1706C23—81no—
1707C23—591no—
1708C23—591no—
1709C23—1184no—
1710C23—1181no—
1711C23—1181no—
1712C23—1181no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—2362no—
1723C23—2362no—
1724C23C2×D4×D5911yescharacteristic
1725C23C2×D4×D5911yescharacteristic
1726C23C2×D4×D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—4721no—
1736Q8—2361no—
1737Q8—2362no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—592no—
1753D4—592no—
1754D4—1184no—
1755D4—1181no—
1756D4—1181no—
1757D4—1181no—
1758D4—1181no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—2361no—
1769D4—2362no—
1770D4—2362no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2362no—
1778D4—2362no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—591no—
1804C2×C4—591no—
1805C2×C4—591no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—4721no—
1824C2×C4—4721no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4—2362no—
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—82no—
1863C22—162no—
1864C22—1181no—
1865C22—1181no—
1866C22—1182no—
1867C22—1182no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—1181no—
1872C22—9442no—
1873C22—9442no—
1874C22—9442no—
1875C22—4724no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22C22×D4×D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—1181no—
1897C4—1181no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4H(5,𝔽2)×D5911yescharacteristic
1904C4H(5,𝔽2)×D5911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—4721no—
1912C2—2361no—
1913C2—2361no—
1914C2—2362no—
1915C2—2362no—
1916C2#2143772811yescharacteristic
1917C2#2143886511yescharacteristic
1918C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3188C2
socleC22×C59C23×D4
hypercenter#3188D59
hypocenterC59#61614
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3188

Complements

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

NH ≅ G/Ntype
1. #21438416C2semidirect
2. #21437738C2semidirect
3. #21436399C2semidirect
4. #21436315C2semidirect
5. #21436258C2semidirect
6. #21436195C2semidirect
7. #21436078C2semidirect
8. #21436060C2semidirect
9. #21436019C2semidirect
10. #21435941C2semidirect
11. #21435823C2semidirect
12. #21435784C2semidirect
13. #21435707C2semidirect
14. #21435694C2semidirect
15. #21435633C2semidirect
16. #21435619C2semidirect
17. #21435618C2semidirect
18. #21435574C2semidirect
19. #21435201C2semidirect
20. #21435155C2semidirect
21. #21434976C2semidirect
22. #21434970C2semidirect
23. #21434933C2semidirect
24. #21434335C2semidirect
25. #21434275C2semidirect
26. #21433398C2semidirect
27. #21433361C2semidirect
28. #21433346C2semidirect
29. #21433318C2semidirect
30. #21433141C2semidirect
31. C59×#3188C2semidirect
32. C2×#14273773C22semidirect
33. C22×#11745685C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273753C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273749C22semidirect
40. C2×#14273748C22semidirect
41. C2×D8×D59C22semidirect
44. #16838116C22semidirect
45. #16838099C22semidirect
46. #16838087C22semidirect
48. #16838070C22semidirect
52. #16838054C22semidirect
53. #16838054C22semidirect
54. #16838054C22semidirect
55. #16838053C22semidirect
57. #16838049C22semidirect
58. #16838049C22semidirect
59. #16838049C22semidirect
60. #16838049C22semidirect
63. #16838046C22semidirect
65. D4×C22⋊D59C22semidirect
66. #16838019C22semidirect
67. #16838005C22semidirect
71. #16837978C22semidirect
72. #16837973C22semidirect
79. #16837913C22semidirect
82. #16837876C22semidirect
83. #16837793C22semidirect
84. #16837790C22semidirect
85. #16837785C22semidirect
86. #16837773C22semidirect
87. #16837769C22semidirect
88. #16837760C22semidirect
89. #16837755C22semidirect
90. #16837751C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837743C22semidirect
94. #16837740C22semidirect
95. #16837739C22semidirect
96. #16837734C22semidirect
97. #16837726C22semidirect
98. #16837723C22semidirect
99. #16837705C22semidirect
100. #16837701C22semidirect
101. #16837691C22semidirect
102. #16837681C22semidirect
103. #16837661C22semidirect
104. #16837658C22semidirect
105. #16837653C22semidirect
106. #16837650C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837647C22semidirect
110. #16837646C22semidirect
111. #16837644C22semidirect
112. #16837632C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837623C22semidirect
116. #16837616C22semidirect
117. #16837616C22semidirect
118. #16837616C22semidirect
119. #16837615C22semidirect
120. #16837615C22semidirect
121. #16837611C22semidirect
122. #16837606C22semidirect
123. #16837605C22semidirect
124. #16837605C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837567C22semidirect
128. #16837566C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837562C22semidirect
134. #16837560C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837554C22semidirect
138. #16837554C22semidirect
139. #16837550C22semidirect
140. #16837549C22semidirect
141. #16837549C22semidirect
142. #16837547C22semidirect
143. #16837546C22semidirect
144. #16837546C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837545C22semidirect
148. #16837545C22semidirect
149. #16837545C22semidirect
150. #16837543C22semidirect
151. #16837540C22semidirect
152. #16837540C22semidirect
153. #16837538C22semidirect
154. #16837537C22semidirect
156. #16837535C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837513C22semidirect
160. #16837511C22semidirect
161. #16837511C22semidirect
162. #16837501C22semidirect
163. #16837489C22semidirect
164. #16837484C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837477C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837476C22semidirect
171. #16837473C22semidirect
172. #16837473C22semidirect
173. C8×C22⋊D59C22semidirect
174. C8×C22⋊D59C22semidirect
175. #16837460C22semidirect
176. #16837460C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #16837401C22semidirect
181. #16837399C22semidirect
182. #16837399C22semidirect
183. #16837397C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837366C22semidirect
188. C59×#525C22semidirect
189. C2×#121×C59C22semidirect
190. C59×#484C22semidirect
191. C59×#482C22semidirect
192. C59×#482C22semidirect
193. C59×#481C22semidirect
194. C59×#466C22semidirect
195. C59×#466C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C2×C22⋊C8×C59C22semidirect
969. #3188D59semidirect
1039. #525C2×D59semidirect
1042. C2×#121C2×D59semidirect
1057. #484C2×D59semidirect
1061. #482C2×D59semidirect
1062. #482C2×D59semidirect
1063. #481C2×D59semidirect
1077. #466C2×D59semidirect
1078. #466C2×D59semidirect
1082. #465C2×D59semidirect
1083. #465C2×D59semidirect
1108. #450C2×D59semidirect
1121. #449C2×D59semidirect
1131. #447C2×D59semidirect
1161. C2×C22⋊C8C2×D59semidirect
1162. C59#61614semidirect

Maximal subgroups

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

subgroupindex
#214384162
#214377382
#214363992
#214363152
#214362582
#214361952
#214360782
#214360602
#214360192
#214359412
#214358232
#214357842
#214357072
#214356942
#214356332
#214356192
#214356182
#214355742
#214352012
#214351552
#214349762
#214349702
#214349332
#214343352
#214342752
#214333982
#214333612
#214333462
#214333182
#214331412
C59×#31882
#6161459