Finite Group Databasebeta

← #29481246

Subgroups — #29481246

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438059C211yesmaximal, characteristic, complemented
2#21437700C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437167C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436850C211yesmaximal, characteristic, complemented
7#21436352C211yesmaximal, characteristic, complemented
8#21436300C211yesmaximal, characteristic, complemented
9#21436272C211yesmaximal, characteristic, complemented
10#21436242C211yesmaximal, characteristic, complemented
11#21436210C211yesmaximal, characteristic, complemented
12#21436180C211yesmaximal, characteristic, complemented
13#21435731C211yesmaximal, characteristic, complemented
14#21435707C211yesmaximal, characteristic, complemented
15#21435608C211yesmaximal, characteristic, complemented
16#21435589C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435492C211yesmaximal, characteristic, complemented
20#21435457C211yesmaximal, characteristic, complemented
21#21435447C211yesmaximal, characteristic, complemented
22#21435135C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21435059C211yesmaximal, characteristic, complemented
25#21434210C211yesmaximal, characteristic, complemented
26#21434148C211yesmaximal, characteristic, complemented
27#21433585C211yesmaximal, characteristic, complemented
28#21433560C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433215C211yesmaximal, characteristic, complemented
31C59×#3114C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838135C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic, complemented
41#16838117—21no—
42#16838111C2211yescharacteristic, complemented
43#16838107C2211yescharacteristic, complemented
44#16838102C2211yescharacteristic
45#16838101—21no—
46#16838100C2211yescharacteristic, complemented
47#16838081—21no—
48#16838078—21no—
49#16838077—21no—
50#16838077—21no—
51Q8×D236C2211yescharacteristic, complemented
52#16838062C2211yescharacteristic
53#16838062C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic
55#16838049C2211yescharacteristic, complemented
56#16838048—21no—
57#16838047C2211yescharacteristic
58#16838046C2211yescharacteristic, complemented
59#16838042—21no—
60D4×D236C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838023—21no—
63#16837988—21no—
64#16837988—21no—
65#16837952C2211yescharacteristic, complemented
66#16837949C2211yescharacteristic, complemented
67#16837937C2211yescharacteristic, complemented
68#16837937C2211yescharacteristic, complemented
69#16837936C2211yescharacteristic, complemented
70#16837934C2211yescharacteristic, complemented
71#16837932—21no—
72#124×D59C2211yescharacteristic, complemented
73#124×D59C2211yescharacteristic, complemented
74#16837913—21no—
75#16837911—21no—
76#16837876—21no—
77C4×#11745685C2211yescharacteristic
78C4×#11745687C2211yescharacteristic, complemented
79C2×C4×C22⋊D59—21no—
80C4×D4×D59C2211yescharacteristic, complemented
81#16837796C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837788C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837771C2211yescharacteristic, complemented
88#16837767C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837755C2211yescharacteristic, complemented
93#16837745C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic
109#16837650C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837644C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic
115#16837632C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837618C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837617C2211yescharacteristic, complemented
132#16837617C2211yescharacteristic, complemented
133#16837617C2211yescharacteristic, complemented
134#16837616C2211yescharacteristic, complemented
135#16837616C2211yescharacteristic, complemented
136#16837615C2211yescharacteristic
137#16837615C2211yescharacteristic
138#16837614C2211yescharacteristic, complemented
139#16837607C2211yescharacteristic, complemented
140#16837607C2211yescharacteristic, complemented
141#16837601C2211yescharacteristic, complemented
142#16837597C2211yescharacteristic
143#16837597C2211yescharacteristic, complemented
144#16837596C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837566C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic, complemented
148#16837559C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic
154#16837542C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837537C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837534C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837508C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837475C2211yescharacteristic, complemented
176#16837475C2211yescharacteristic, complemented
177#16837458C2211yescharacteristic, complemented
178#16837454C2211yescharacteristic, complemented
179#16837426C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837401C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#483C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×C22⋊D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C22×C4×D59—21no—
216#14273756—42no—
217#14273753—42no—
218#14273753—42no—
219#14273751—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233SD16×D59—42no—
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273727—21no—
249#14273727C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273721—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720—21no—
261#14273719C2311yescharacteristic
262#14273718C2311yescharacteristic
263#14273717—21no—
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273715—21no—
267#14273715C2311yescharacteristic
268#14273715C2311yescharacteristic
269#14273715C2311yescharacteristic
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273711—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273707—21no—
296#14273707—21no—
297#14273707C2311yescharacteristic
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706—21no—
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273702C2311yescharacteristic
310#14273702C2311yescharacteristic
311#14273702C2311yescharacteristic
312#14273701—21no—
313#14273701—21no—
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273699—21no—
323#14273699—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273696—21no—
332#14273696—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336C4×Dic118D411yescharacteristic
337C4×Dic118C2311yescharacteristic
338C4×Dic118C2311yescharacteristic
339#14273692C2311yescharacteristic
340#14273692C2311yescharacteristic
341#14273692C2311yescharacteristic
342C4×D236—21no—
343C4×D236—21no—
344C4×D236—21no—
345C4×D236—21no—
346C4×D236D411yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351#14273689—21no—
352#14273689—21no—
353#14273689—21no—
354#14273689—21no—
355#14273689C2311yescharacteristic
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59D411yescharacteristic
368C4×C22⋊D59D411yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370C4×C22⋊D59C2311yescharacteristic
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686—21no—
374#14273686—21no—
375#14273686D411yescharacteristic
376#14273685—21no—
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273684—21no—
380#14273684D411yescharacteristic
381#14273684D411yescharacteristic
382#14273683—21no—
383C2×Dic59⋊C4—21no—
384C4⋊C4×D59C2311yescharacteristic
385C2×C22⋊Dic59—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C23×C4×C59—21no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—22no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—41no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—82no—
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2×D411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—44no—
518C2×C22⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523Q8×D59—41no—
524Q8×D59—41no—
525Q8×D59—41no—
526Q8×D59—41no—
527#11745687—22no—
528#11745687—41no—
529D4×D59—22no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—41no—
535#11745685—41no—
536#11745685—41no—
537#11745685—41no—
538#11745685—41no—
539#11745685—42no—
540#11745685—82no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—44no—
547C2×D236C2×D411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—82no—
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118C2×D411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—22no—
575SD16×C59—41no—
576D8×C59—22no—
577D8×C59—41no—
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C42×C59—21no—
601C42×C59C2×D411yescharacteristic
602C42×C59C2×D411yescharacteristic
603C42×C59C2411yescharacteristic
604C42×C59C2411yescharacteristic
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618#11745672—41no—
619#11745671—41no—
620#11745670—22no—
621#11745670—22no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745669—22no—
626#11745669—22no—
627#11745669—41no—
628#11745669—41no—
629#11745669—41no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691#11745664—41no—
692#11745664—41no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—41no—
698Dic236—41no—
699D472—41no—
700D472—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—42no—
738D4×C59—81no—
739D4×C59H(5,𝔽2)12yes—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—41no—
748C2×C4×C59—41no—
749C2×C4×C59—42no—
750C2×C4×C59—42no—
751C2×C4×C59—42no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—22no—
762C22⋊D59—41no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—42no—
780C2×Dic59—42no—
781C2×Dic59—81no—
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788D236—22no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—42no—
796D236—42no—
797D236—42no—
798D236—81no—
799D236—81no—
800C4×D59—22no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—41no—
806C4×D59—41no—
807C4×D59—41no—
808C4×D59—42no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817Dic118—21no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—41no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—22no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—84no—
849C22×C59C23×D411yescharacteristic
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114D5911yescharacteristic, complemented
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—42no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57511yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—1181no—
974#529C2×D5911yescharacteristic, complemented
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—1181no—
984C2×C4×D4C2×D5911yescharacteristic, complemented
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483C2×D5911yescharacteristic, complemented
1000#482—591no—
1001#481—591no—
1002#480C2×D5911yescharacteristic, complemented
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478C2×D5911yescharacteristic, complemented
1010#478C2×D5911yescharacteristic, complemented
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450C2×D5911yescharacteristic, complemented
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447C2×D5911yescharacteristic
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442C2×D5911yescharacteristic
1077#442C2×D5911yescharacteristic, complemented
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440C2×D5911yescharacteristic, complemented
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432C2×D5911yescharacteristic, complemented
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—1181no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—21no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127—591no—
1161#127—591no—
1162#126—21no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—1181no—
1174#125C22×D5911yescharacteristic
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—591no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—1181no—
1310C2×C4⋊C4C22×D5911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—1181no—
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102C22×D5911yescharacteristic
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—1182no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397#41—2362no—
1398#41—2361no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—591no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1182no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—2364no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2364no—
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—82no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—4722no—
1474C22×C4D4×D5911yescharacteristic
1475C22×C4D4×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—22no—
1481SD16—41no—
1482SD16—1182no—
1483SD16—1182no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—22no—
1493D8—41no—
1494D8—1182no—
1495D8—1182no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—21no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—1181no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42D4×D5911yescharacteristic
1609C42D4×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—591no—
1619C23—591no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—1181no—
1636Q8—1181no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—4721no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—1182no—
1653D4—1182no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—2362no—
1669D4—2362no—
1670D4—2362no—
1671D4—2361no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377312yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—1182no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2361no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—84no—
1751C22—592no—
1752C22—1181no—
1753C22—1181no—
1754C22—1181no—
1755C22—1181no—
1756C22—1181no—
1757C22—9442no—
1758C22—9442no—
1759C22—4724no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377311yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—41no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775711yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3114C2
socleC22×C59C23×D4
hypercenter#3114D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #21438059C2semidirect
2. #21437700C2semidirect
3. #21437185C2semidirect
4. #21437167C2semidirect
5. #21436924C2semidirect
6. #21436850C2semidirect
7. #21436352C2semidirect
8. #21436300C2semidirect
9. #21436272C2semidirect
10. #21436242C2semidirect
11. #21436210C2semidirect
12. #21436180C2semidirect
13. #21435731C2semidirect
14. #21435707C2semidirect
15. #21435608C2semidirect
16. #21435589C2semidirect
17. #21435578C2semidirect
18. #21435574C2semidirect
19. #21435492C2semidirect
20. #21435457C2semidirect
21. #21435447C2semidirect
22. #21435135C2semidirect
23. #21435081C2semidirect
24. #21435059C2semidirect
25. #21434210C2semidirect
26. #21434148C2semidirect
27. #21433585C2semidirect
28. #21433560C2semidirect
29. #463×D59C2semidirect
30. #21433215C2semidirect
31. C59×#3114C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838137C22semidirect
39. #16838135C22semidirect
40. #16838122C22semidirect
42. #16838111C22semidirect
43. #16838107C22semidirect
46. #16838100C22semidirect
51. Q8×D236C22semidirect
53. #16838062C22semidirect
55. #16838049C22semidirect
58. #16838046C22semidirect
60. D4×D236C22semidirect
61. D4×C22⋊D59C22semidirect
65. #16837952C22semidirect
66. #16837949C22semidirect
67. #16837937C22semidirect
68. #16837937C22semidirect
69. #16837936C22semidirect
70. #16837934C22semidirect
72. #124×D59C22semidirect
73. #124×D59C22semidirect
78. C4×#11745687C22semidirect
80. C4×D4×D59C22semidirect
81. #16837796C22semidirect
82. #16837791C22semidirect
84. #16837788C22semidirect
85. #16837785C22semidirect
86. #16837783C22semidirect
87. #16837771C22semidirect
88. #16837767C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837758C22semidirect
92. #16837755C22semidirect
93. #16837745C22semidirect
94. #16837739C22semidirect
95. #16837728C22semidirect
96. #16837722C22semidirect
97. #16837712C22semidirect
98. #16837709C22semidirect
99. #16837706C22semidirect
100. #16837705C22semidirect
101. #16837702C22semidirect
102. #16837699C22semidirect
103. #16837686C22semidirect
104. #16837681C22semidirect
105. #16837658C22semidirect
106. #16837656C22semidirect
107. #16837654C22semidirect
109. #16837650C22semidirect
110. #16837649C22semidirect
111. #16837647C22semidirect
112. #16837646C22semidirect
113. #16837644C22semidirect
115. #16837632C22semidirect
116. #16837630C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837623C22semidirect
122. #16837623C22semidirect
123. #16837621C22semidirect
124. #16837620C22semidirect
125. #16837619C22semidirect
126. #16837619C22semidirect
127. #16837618C22semidirect
128. #16837618C22semidirect
129. #16837617C22semidirect
130. #16837617C22semidirect
131. #16837617C22semidirect
132. #16837617C22semidirect
133. #16837617C22semidirect
134. #16837616C22semidirect
135. #16837616C22semidirect
138. #16837614C22semidirect
139. #16837607C22semidirect
140. #16837607C22semidirect
141. #16837601C22semidirect
143. #16837597C22semidirect
144. #16837596C22semidirect
145. #16837566C22semidirect
146. #16837566C22semidirect
147. #16837565C22semidirect
148. #16837559C22semidirect
149. #16837554C22semidirect
150. #16837554C22semidirect
151. #16837549C22semidirect
152. #16837549C22semidirect
154. #16837542C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
158. #16837537C22semidirect
160. #16837534C22semidirect
161. #16837530C22semidirect
162. #16837530C22semidirect
163. #16837511C22semidirect
164. #16837508C22semidirect
165. #16837501C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. #16837489C22semidirect
169. #16837484C22semidirect
170. #16837482C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837476C22semidirect
175. #16837475C22semidirect
176. #16837475C22semidirect
177. #16837458C22semidirect
178. #16837454C22semidirect
179. #16837426C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837409C22semidirect
183. #16837405C22semidirect
184. #16837401C22semidirect
185. #16837401C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#529C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#483C22semidirect
191. C59×#480C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
915. #3114D59semidirect
974. #529C2×D59semidirect
984. C2×C4×D4C2×D59semidirect
999. #483C2×D59semidirect
1002. #480C2×D59semidirect
1009. #478C2×D59semidirect
1010. #478C2×D59semidirect
1048. #463C2×D59semidirect
1061. #450C2×D59semidirect
1077. #442C2×D59semidirect
1081. #440C2×D59semidirect
1082. #440C2×D59semidirect
1094. #432C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380592
#214377002
#214371852
#214371672
#214369242
#214368502
#214363522
#214363002
#214362722
#214362422
#214362102
#214361802
#214357312
#214357072
#214356082
#214355892
#214355782
#214355742
#214354922
#214354572
#214354472
#214351352
#214350812
#214350592
#214342102
#214341482
#214335852
#214335602
#463×D592
#214332152
C59×#31142
#6197159