Finite Group Databasebeta

← #29481031

Subgroups — #29481031

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437964C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437139C211yesmaximal, characteristic, complemented
4#21437133C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436885C211yesmaximal, characteristic, complemented
7#21436421C211yesmaximal, characteristic, complemented
8#21436419C211yesmaximal, characteristic, complemented
9#21436055C211yesmaximal, characteristic, complemented
10#21436053C211yesmaximal, characteristic, complemented
11#21436051C211yesmaximal, characteristic, complemented
12#21435713C211yesmaximal, characteristic, complemented
13#21435709C211yesmaximal, characteristic, complemented
14#21435581C211yesmaximal, characteristic, complemented
15#21435577C211yesmaximal, characteristic, complemented
16#21435573C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21435476C211yesmaximal, characteristic, complemented
19#21435473C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435092C211yesmaximal, characteristic, complemented
22#21435088C211yesmaximal, characteristic, complemented
23#21435012C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434184C211yesmaximal, characteristic, complemented
26#21434101C211yesmaximal, characteristic, complemented
27#21433559C211yesmaximal, characteristic, complemented
28#21433558C211yesmaximal, characteristic, complemented
29C2×#16837596C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic
38C22×#11745669C2211yescharacteristic
39#16838136—21no—
40#16838135C2211yescharacteristic, complemented
41#16838134C2211yescharacteristic, complemented
42#16838073C2211yescharacteristic, complemented
43#16838071C2211yescharacteristic, complemented
44#16838070—21no—
45#16838070C2211yescharacteristic, complemented
46#16838067C2211yescharacteristic, complemented
47#16838062—21no—
48#16838053C2211yescharacteristic
49#16838053C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic, complemented
51#16838046C2211yescharacteristic, complemented
52#16838044—21no—
53#16838044—21no—
54#16838043C2211yescharacteristic, complemented
55#16838042—21no—
56#16838040—21no—
57#16838039—21no—
58D4×D236C2211yescharacteristic
59#16838036C2211yescharacteristic
60#16838036C2211yescharacteristic, complemented
61#16838004—21no—
62#16838002—21no—
63#16837967—21no—
64#16837954C2211yescharacteristic, complemented
65#16837953C2211yescharacteristic, complemented
66#16837951C2211yescharacteristic, complemented
67#16837949C2211yescharacteristic, complemented
68#16837948C2211yescharacteristic, complemented
69#16837947C2211yescharacteristic
70#16837947C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic, complemented
72C2×#14273723C2211yescharacteristic, complemented
73#16837915—21no—
74#16837910—21no—
75#16837910—21no—
76#16837875—21no—
77C4×#11745687C2211yescharacteristic
78C2×#14273689C2211yescharacteristic
79C2×#14273689C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837732C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837720C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837691C2211yescharacteristic, complemented
97#16837691C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837620C2211yescharacteristic, complemented
116#16837620C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837616C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837598C2211yescharacteristic, complemented
129#16837597C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic
131#16837596C2211yescharacteristic
132#16837596C2211yescharacteristic
133#16837596C2211yescharacteristic
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic
145#16837552C2211yescharacteristic
146#16837550C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837513C2211yescharacteristic, complemented
165#16837512C2211yescharacteristic, complemented
166#16837512C2211yescharacteristic, complemented
167#16837511C2211yescharacteristic, complemented
168#16837511C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
170#16837489C2211yescharacteristic, complemented
171#16837487C2211yescharacteristic, complemented
172#16837487C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837456C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837424C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837400C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687D411yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—48no—
216C2×Q8×D59—21no—
217C22×D236C2311yescharacteristic
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229#14273755—42no—
230#14273754—42no—
231#14273752—42no—
232#14273751—42no—
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×D472—42no—
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×#11745669—42no—
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745664C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C22×C59⋊C8C2311yescharacteristic
260#14273726C2311yescharacteristic
261#14273726C2311yescharacteristic
262#14273726C2311yescharacteristic
263#14273725C2311yescharacteristic
264#14273724C2311yescharacteristic
265#14273723—21no—
266#14273723—21no—
267#14273723—21no—
268#14273723—21no—
269#14273723C2311yescharacteristic
270#14273723C2311yescharacteristic
271#14273723C2311yescharacteristic
272#14273723C2311yescharacteristic
273#14273723C2311yescharacteristic
274#14273723C2311yescharacteristic
275#14273717—21no—
276#14273716—21no—
277#14273716C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273711—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273708—21no—
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273703—21no—
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701—21no—
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273701C2311yescharacteristic
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273696—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344#14273692—21no—
345#14273692D411yescharacteristic
346#14273692C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59D411yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352#14273689—21no—
353#14273689—21no—
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4D411yescharacteristic
382(C22⋊D59)⋊C4D411yescharacteristic
383#14273685D411yescharacteristic
384#14273683—21no—
385#14273683D411yescharacteristic
386#14273683D411yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59C2311yescharacteristic
395C2×C4×Dic59C2311yescharacteristic
396C42×D59C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273638C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C2×#41×C59—21no—
443C2×#41×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C4⋊Q8×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452#123×C59—21no—
453#123×C59—21no—
454#123×C59—21no—
455C22⋊Q8×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#120×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C2×C4⋊C4×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467C2×C22⋊C4×C59—21no—
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484#97×C59C2311yescharacteristic
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—44no—
493C2×Q8×C59—21no—
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543#11745689—44no—
544#11745689—41no—
545#11745689—41no—
546Q8×D59—44no—
547#11745687—24no—
548#11745687—41no—
549#11745687—41no—
550#11745687—44no—
551#11745687—44no—
552#11745687—82no—
553D4×D59—22no—
554D4×D59—41no—
555D4×D59—44no—
556D4×D59—44no—
557D4×D59—44no—
558#11745685—44no—
559#11745685—41no—
560#11745685—41no—
561#11745685—44no—
562#11745685—44no—
563#11745685—82no—
564C2×D236—22no—
565C2×D236—22no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—44no—
598C2×C4×D59—44no—
599C2×C4×D59—44no—
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118C2×D411yescharacteristic
607C2×Dic118C2411yescharacteristic
608SD16×C59—41no—
609D8×C59—41no—
610D8×C59—41no—
611M16×C59—41no—
612C2×C8×C59—41no—
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59C2×D411yescharacteristic
644C22⋊Dic59C2×D411yescharacteristic
645#11745671—22no—
646#11745671—41no—
647#11745671—41no—
648#11745670—41no—
649#11745669—22no—
650#11745669—22no—
651#11745669—41no—
652#11745669—41no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679C4⋊Dic59—21no—
680C4⋊Dic59C2×D411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2×D411yescharacteristic
699C4×Dic59C2×D411yescharacteristic
700C4×Dic59C2×D411yescharacteristic
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704C4×Dic59C2411yescharacteristic
705C4×Dic59C2411yescharacteristic
706#11745664—41no—
707C2×C59⋊C8—41no—
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712D472—22no—
713D472—22no—
714D472—41no—
715D472—41no—
716D472—41no—
717D472—41no—
718#11745660—22no—
719#11745660—41no—
720#11745660—41no—
721#11745659—41no—
722#11745659—41no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—42no—
727C23×C59—81no—
728C23×C59—81no—
729C23×C59C22×D411yescharacteristic
730C23×C59C22×D411yescharacteristic
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—21no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—42no—
752D4×C59—22no—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—42no—
760D4×C59—42no—
761D4×C59—81no—
762D4×C59—81no—
763D4×C59—81no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—42no—
774C2×C4×C59—42no—
775C2×C4×C59—42no—
776C2×C4×C59—81no—
777C2×C4×C59—81no—
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C2511yescharacteristic
783C22⋊D59—22no—
784C22⋊D59—22no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C2×Dic59—22no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—41no—
809C2×Dic59—41no—
810C2×Dic59—42no—
811C2×Dic59—81no—
812C2×Dic59—81no—
813C2×Dic59AGL(1,ℤ/8)14yescomplemented
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—42no—
831D236—42no—
832D236—42no—
833D236—42no—
834D236—42no—
835D236—81no—
836D236—81no—
837D236—81no—
838D236—81no—
839D236H(5,𝔽2)12yes—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—22no—
843C4×D59—41no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857Dic118—22no—
858Dic118—21no—
859Dic118—21no—
860Dic118—42no—
861Dic118—42no—
862Dic118—42no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871#61961—591nomaximal, Sylow
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—162no—
887C22×C59C2×AGL(1,ℤ/8)12yes—
888C22×C59C23×D411yescharacteristic
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—22no—
892C2×D59—21no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—84no—
908C2×D59—84no—
909C2×D59—84no—
910C2×D59—162no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—21no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921C4×C59#58511yescharacteristic
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—21no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59C2×AGL(1,ℤ/8)12yes—
931Dic59C2×AGL(1,ℤ/8)12yes—
932#3508—591no—
933D4×#41—591no—
934#3399—591no—
935#3399—591no—
936#3373—591no—
937#3373—591no—
938#3332—591no—
939#3332—591no—
940#3306—591no—
941#3306—591no—
942#3306—591no—
943#3306D5911yescharacteristic, complemented
944#3274—591no—
945#3274—591no—
946#3264—591no—
947#3264—591no—
948#3264—591no—
949#3264—591no—
950#3253—591no—
951#3253—591no—
952#3246—591no—
953#3214—591no—
954#3214—591no—
955#3205—591no—
956#3109—591no—
957#3109—591no—
958#3101—591no—
959#3036—591no—
960#3036—591no—
961C2×#459—591no—
962#2989—591no—
963C2×C59—22no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59—81no—
967C2×C59—81no—
968C2×C59#348811yescharacteristic
969C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
970C2×C59#358511yescharacteristic
971D59—41no—
972D59—42no—
973D59—81no—
974D59—81no—
975D59—81no—
976D59—81no—
977C22×#41—1181no—
978C2×AGL(1,ℤ/8)—591no—
979C2×AGL(1,ℤ/8)—591no—
980C2×AGL(1,ℤ/8)—591no—
981C2×AGL(1,ℤ/8)—591no—
982C22×D8—591no—
983C22×D8—591no—
984#559—591no—
985#559—591no—
986#559—1181no—
987#550—591no—
988#550—591no—
989#550—591no—
990#550—1181no—
991D4×Q8—591no—
992#548—1181no—
993#547—591no—
994#547—591no—
995#547C2×D5911yescharacteristic
996#546—591no—
997#546—591no—
998#546—591no—
999#546—1181no—
1000#546—1181no—
1001#546—1181no—
1002#546—1181no—
1003#546—1181no—
1004#546C2×D5911yescharacteristic, complemented
1005D42—591no—
1006D42—591no—
1007D42—591no—
1008#540—1181no—
1009#540—1181no—
1010#535—1181no—
1011#533—591no—
1012#532—591no—
1013#532—591no—
1014#532—591no—
1015#532—591no—
1016#532—591no—
1017#532—591no—
1018#532—591no—
1019C2×#127—591no—
1020#525—1181no—
1021#525—1181no—
1022#525—1181no—
1023#518—1181no—
1024C4×#41—591no—
1025C2×C4×D4—591no—
1026C2×C4×D4—591no—
1027C2×C4×D4—591no—
1028#496—591no—
1029#496—591no—
1030#496—591no—
1031#496—591no—
1032#493—591no—
1033#493—591no—
1034#489—591no—
1035#489—591no—
1036#489—591no—
1037#489C2×D5911yescharacteristic, complemented
1038#486—591no—
1039#486—591no—
1040#483—591no—
1041#483C2×D5911yescharacteristic, complemented
1042#481—591no—
1043#481—591no—
1044#481—591no—
1045#481C2×D5911yescharacteristic, complemented
1046#476—591no—
1047#476—591no—
1048#476—591no—
1049#476—591no—
1050#476—591no—
1051#476—591no—
1052#476—591no—
1053#476C2×D5911yescharacteristic, complemented
1054#475—591no—
1055#475—591no—
1056#469—591no—
1057#469—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469—591no—
1062#469—591no—
1063#469C2×D5911yescharacteristic, complemented
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465C2×D5911yescharacteristic, complemented
1068#463—591no—
1069#463—591no—
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#463—591no—
1074#463—591no—
1075#463C2×D5911yescharacteristic, complemented
1076#461—591no—
1077#461—591no—
1078#461—591no—
1079#461—591no—
1080#460—591no—
1081#460—591no—
1082#459—591no—
1083#459—591no—
1084#459—591no—
1085#459—591no—
1086#459—591no—
1087#459—591no—
1088#459—591no—
1089#459—591no—
1090#459—591no—
1091#459—591no—
1092#459—591no—
1093#459—591no—
1094#459—591no—
1095#459—591no—
1096#459—591no—
1097#459—591no—
1098#450—591no—
1099#450—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449C2×D5911yescharacteristic, complemented
1108#447—591no—
1109#447—591no—
1110#447—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447C2×D5911yescharacteristic, complemented
1116#446—591no—
1117#446—591no—
1118#442—591no—
1119#442—591no—
1120#442—591no—
1121#442—591no—
1122#442—591no—
1123#442—591no—
1124#442—591no—
1125#442C2×D5911yescharacteristic, complemented
1126C4×SD16—591no—
1127C4×SD16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130#436—591no—
1131#436—591no—
1132#435—591no—
1133#435—591no—
1134#435—591no—
1135#435C2×D5911yescharacteristic, complemented
1136#432—591no—
1137#432—591no—
1138#431—591no—
1139#423—591no—
1140#423—591no—
1141C2×C4⋊C8—591no—
1142#417—591no—
1143#417—591no—
1144#417—591no—
1145#417C2×D5911yescharacteristic, complemented
1146C2×#102—591no—
1147C2×#102C2×D5911yescharacteristic, complemented
1148C59#6196111yescharacteristic, complemented, Sylow
1149C2×#41—21no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—1181no—
1162C2×#41—2368no—
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—1181no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4C22×D5911yescharacteristic
1175C23×C4—1181no—
1176C23×C4—1181no—
1177C23×C4—1181no—
1178AGL(1,ℤ/8)—2362no—
1179AGL(1,ℤ/8)—2362no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16C22×D5911yescharacteristic
1190C2×D8—591no—
1191C2×D8—591no—
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—2362no—
1205C2×D8—2362no—
1206C2×D8C22×D5911yescharacteristic
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16C22×D5911yescharacteristic
1212C22×C8—591no—
1213C22×C8C22×D5911yescharacteristic
1214C4⋊Q8—591no—
1215C4⋊Q8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8C22×D5911yescharacteristic
1219#127—591no—
1220#127—591no—
1221#127—591no—
1222#127—591no—
1223#127—591no—
1224#127—591no—
1225#127—591no—
1226#127—1181no—
1227#127—1181no—
1228#127—1181no—
1229#127—1181no—
1230#125—1181no—
1231#124—591no—
1232#124—591no—
1233#124—591no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124C22×D5911yescharacteristic
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256C22⋊Q8—21no—
1257C22⋊Q8—591no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8C22×D5911yescharacteristic
1265#121—21no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#121C22×D5911yescharacteristic
1298#120—21no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308C4×Q8—591no—
1309C4×Q8—591no—
1310C4×Q8—591no—
1311C4×Q8—591no—
1312C4×Q8—1181no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4C22×D5911yescharacteristic
1350C4×D4C22×D5911yescharacteristic
1351C4×D4C22×D5911yescharacteristic
1352#117—591no—
1353#117—591no—
1354#117—591no—
1355#117—1181no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4C22×D5911yescharacteristic
1358C2×C4⋊C4C22×D5911yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C42—591no—
1367C2×C42—591no—
1368C2×C42—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372#106—591no—
1373#106—591no—
1374#106C22×D5911yescharacteristic
1375#106C22×D5911yescharacteristic
1376#106C22×D5911yescharacteristic
1377C4⋊C8—591no—
1378C4⋊C8—591no—
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8—591no—
1386C4⋊C8C22×D5911yescharacteristic
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103C22×D5911yescharacteristic
1393#103C22×D5911yescharacteristic
1394#103C22×D5911yescharacteristic
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8C22×D5911yescharacteristic
1424C22⋊C8C22×D5911yescharacteristic
1425#97—591no—
1426#97—591no—
1427#97—591no—
1428#97C22×D5911yescharacteristic
1429C4×C8—591no—
1430C4×C8—591no—
1431C24—21no—
1432C24—1181no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436#41—41no—
1437#41—41no—
1438#41—44no—
1439#41—1184no—
1440#41—4722no—
1441#41—4722no—
1442#41—2361no—
1443#41—2361no—
1444#41—2364no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2361no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2364no—
1453#41—2364no—
1454C2×Q8—21no—
1455C2×Q8—591no—
1456C2×Q8—591no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—2364no—
1461C2×Q8C23×D5911yescharacteristic
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—1182no—
1477C2×D4—1182no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1182no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—4722no—
1508C2×D4—2361no—
1509C2×D4—2361no—
1510C2×D4—2361no—
1511C2×D4—2361no—
1512C2×D4—2364no—
1513C2×D4—2361no—
1514C2×D4—2364no—
1515C2×D4—2364no—
1516C2×D4—2364no—
1517C2×D4D4×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C2×D4C23×D5911yescharacteristic
1520C2×D4C23×D5911yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—2364no—
1550C22×C4—2364no—
1551C22×C4—2364no—
1552C22×C4C23×D5911yescharacteristic
1553C22×C4C23×D5911yescharacteristic
1554SD16—41no—
1555SD16—1182no—
1556SD16—1182no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560SD16—2361no—
1561SD16—2361no—
1562D8—41no—
1563D8—41no—
1564D8—1182no—
1565D8—1182no—
1566D8—1182no—
1567D8—1182no—
1568D8—2361no—
1569D8—2361no—
1570D8—2361no—
1571D8—2361no—
1572D8—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576D8—2361no—
1577D8—2361no—
1578M16—41no—
1579M16—2361no—
1580M16—2361no—
1581M16—2361no—
1582C2×C8—41no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—591no—
1587C2×C8—2361no—
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C2×C8C23×D5911yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4D4×D5911yescharacteristic
1656C22⋊C4D4×D5911yescharacteristic
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—591no—
1664C42—591no—
1665C42—591no—
1666C42—1181no—
1667C42—1181no—
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—591no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—1181no—
1680C23—1181no—
1681C23—4721no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—2362no—
1687C23—2362no—
1688C23—2362no—
1689C23—2362no—
1690C23—2362no—
1691C23—2362no—
1692C23—2362no—
1693C23C2×D4×D5911yescharacteristic
1694C23C2×D4×D5911yescharacteristic
1695Q8—21no—
1696Q8—21no—
1697Q8—42no—
1698Q8—1182no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—2362no—
1702Q8—2362no—
1703Q8—2362no—
1704D4—22no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—592no—
1717D4—1182no—
1718D4—1182no—
1719D4—1181no—
1720D4—1181no—
1721D4—1181no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—1181no—
1726D4—1181no—
1727D4—1181no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—2362no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—594no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—1182no—
1779C2×C4—1182no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—2361no—
1792C2×C4—2362no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—162no—
1832C22—1181no—
1833C22—1182no—
1834C22—1181no—
1835C22—1181no—
1836C22—9442no—
1837C22—4724no—
1838C22—4724no—
1839C22—4724no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22AGL(1,ℤ/8)×D5912yes—
1855C22C22×D4×D5911yescharacteristic
1856C4—21no—
1857C4—21no—
1858C4—21no—
1859C4—21no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—592no—
1866C4—592no—
1867C4—1181no—
1868C4—1181no—
1869C4—1181no—
1870C4—1181no—
1871C4—1181no—
1872C4—2361no—
1873C4—2361no—
1874C4—2361no—
1875C4H(5,𝔽2)×D5911yescharacteristic
1876C4#1683823811yescharacteristic
1877C2—22no—
1878C2—41no—
1879C2—81no—
1880C2—81no—
1881C2—81no—
1882C2—4721no—
1883C2—4721no—
1884C2—4721no—
1885C2—4721no—
1886C2—2361no—
1887C2—2362no—
1888C2#2143775911yescharacteristic
1889C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1890C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61961
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21437964C2semidirect
2. #21437583C2semidirect
3. #21437139C2semidirect
4. #21437133C2semidirect
5. #21436891C2semidirect
6. #21436885C2semidirect
7. #21436421C2semidirect
8. #21436419C2semidirect
9. #21436055C2semidirect
10. #21436053C2semidirect
11. #21436051C2semidirect
12. #21435713C2semidirect
13. #21435709C2semidirect
14. #21435581C2semidirect
15. #21435577C2semidirect
16. #21435573C2semidirect
17. #21435569C2semidirect
18. #21435476C2semidirect
19. #21435473C2semidirect
20. #21435407C2semidirect
21. #21435092C2semidirect
22. #21435088C2semidirect
23. #21435012C2semidirect
24. #21434185C2semidirect
25. #21434184C2semidirect
26. #21434101C2semidirect
27. #21433559C2semidirect
28. #21433558C2semidirect
29. C2×#16837596C2semidirect
30. #21433208C2semidirect
31. C59×#3306C2semidirect
33. C2×#14273755C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273751C22semidirect
40. #16838135C22semidirect
41. #16838134C22semidirect
42. #16838073C22semidirect
43. #16838071C22semidirect
45. #16838070C22semidirect
46. #16838067C22semidirect
49. #16838053C22semidirect
50. #16838048C22semidirect
51. #16838046C22semidirect
54. #16838043C22semidirect
60. #16838036C22semidirect
64. #16837954C22semidirect
65. #16837953C22semidirect
66. #16837951C22semidirect
67. #16837949C22semidirect
68. #16837948C22semidirect
70. #16837947C22semidirect
71. #16837947C22semidirect
72. C2×#14273723C22semidirect
79. C2×#14273689C22semidirect
80. C4×D4×D59C22semidirect
81. #16837792C22semidirect
82. #16837791C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837777C22semidirect
86. #16837777C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837760C22semidirect
90. #16837747C22semidirect
91. #16837747C22semidirect
92. #16837732C22semidirect
93. #16837722C22semidirect
94. #16837720C22semidirect
95. #16837719C22semidirect
96. #16837691C22semidirect
97. #16837691C22semidirect
98. #16837691C22semidirect
99. #16837691C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837689C22semidirect
103. #16837686C22semidirect
104. #16837685C22semidirect
105. #16837656C22semidirect
106. #16837656C22semidirect
107. #16837655C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837653C22semidirect
111. #16837653C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837629C22semidirect
115. #16837620C22semidirect
116. #16837620C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837616C22semidirect
120. #16837616C22semidirect
121. #16837614C22semidirect
122. #16837606C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837605C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837598C22semidirect
129. #16837597C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
146. #16837550C22semidirect
147. #16837550C22semidirect
148. #16837549C22semidirect
149. #16837548C22semidirect
150. #16837548C22semidirect
151. #16837547C22semidirect
152. #16837545C22semidirect
153. #16837538C22semidirect
154. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837536C22semidirect
157. #16837535C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837513C22semidirect
165. #16837512C22semidirect
166. #16837512C22semidirect
167. #16837511C22semidirect
168. #16837511C22semidirect
169. #16837489C22semidirect
170. #16837489C22semidirect
171. #16837487C22semidirect
172. #16837487C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837457C22semidirect
179. #16837456C22semidirect
180. #16837452C22semidirect
181. #16837425C22semidirect
182. #16837424C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837402C22semidirect
185. #16837401C22semidirect
186. #16837400C22semidirect
187. C2×#14273647C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
193. C59×#476C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
813. C2×Dic59AGL(1,ℤ/8)semidirect
943. #3306D59semidirect
1004. #546C2×D59semidirect
1037. #489C2×D59semidirect
1041. #483C2×D59semidirect
1045. #481C2×D59semidirect
1053. #476C2×D59semidirect
1063. #469C2×D59semidirect
1067. #465C2×D59semidirect
1075. #463C2×D59semidirect
1107. #449C2×D59semidirect
1115. #447C2×D59semidirect
1125. #442C2×D59semidirect
1135. #435C2×D59semidirect
1145. #417C2×D59semidirect
1147. C2×#102C2×D59semidirect
1148. C59#61961semidirect

Maximal subgroups

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

subgroupindex
#214379642
#214375832
#214371392
#214371332
#214368912
#214368852
#214364212
#214364192
#214360552
#214360532
#214360512
#214357132
#214357092
#214355812
#214355772
#214355732
#214355692
#214354762
#214354732
#214354072
#214350922
#214350882
#214350122
#214341852
#214341842
#214341012
#214335592
#214335582
C2×#168375962
#214332082
C59×#33062
#6196159