Finite Group Databasebeta

← #29483955

Subgroups — #29483955

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438464C211yesmaximal, characteristic, complemented
2#21438043C211yesmaximal, characteristic, complemented
3#21437167C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436926C211yesmaximal, characteristic, complemented
6#21436800C211yesmaximal, characteristic, complemented
7#21436421C211yesmaximal, characteristic, complemented
8#21436308C211yesmaximal, characteristic, complemented
9#21436220C211yesmaximal, characteristic, complemented
10#21436066C211yesmaximal, characteristic, complemented
11#21436053C211yesmaximal, characteristic, complemented
12#21435713C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435633C211yesmaximal, characteristic, complemented
15#21435626C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21435566C211yesmaximal, characteristic, complemented
19#21435500C211yesmaximal, characteristic, complemented
20#21435457C211yesmaximal, characteristic, complemented
21#21435186C211yesmaximal, characteristic, complemented
22#21435142C211yesmaximal, characteristic, complemented
23#21435134C211yesmaximal, characteristic, complemented
24#21434376C211yesmaximal, characteristic, complemented
25#21434275C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433640C211yesmaximal, characteristic, complemented
28#21433598C211yesmaximal, characteristic, complemented
29#21433555C211yesmaximal, characteristic, complemented
30#21433262C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838141—21no—
39#16838141—21no—
40#16838135C2211yescharacteristic, complemented
41#16838122C2211yescharacteristic, complemented
42#16838108C2211yescharacteristic, complemented
43#16838102—21no—
44#16838099—21no—
45#16838091C2211yescharacteristic, complemented
46#16838080—21no—
47#16838077—21no—
48#16838072C2211yescharacteristic, complemented
49#16838070C2211yescharacteristic
50#16838070C2211yescharacteristic, complemented
51#16838057C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838049—21no—
54#16838049C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic
56#16838046—21no—
57#16838046C2211yescharacteristic
58#16838046C2211yescharacteristic, complemented
59#16838036C2211yescharacteristic, complemented
60#16838019C2211yescharacteristic, complemented
61#16838019C2211yescharacteristic, complemented
62#16838019C2211yescharacteristic, complemented
63#16838005C2211yescharacteristic, complemented
64#16837993—21no—
65#16837987—21no—
66#16837987—21no—
67#16837984—21no—
68#16837981—21no—
69#16837969—21no—
70#16837969C2211yescharacteristic, complemented
71#16837969C2211yescharacteristic, complemented
72#16837950C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837937C2211yescharacteristic, complemented
75#16837934C2211yescharacteristic
76#16837911—21no—
77#123×D59—21no—
78#16837883C2211yescharacteristic, complemented
79#16837876C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837796C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837708C2211yescharacteristic, complemented
97#16837704C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic
108#16837653C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837631C2211yescharacteristic, complemented
113#16837629C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837623C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic
122#16837616C2211yescharacteristic
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837608C2211yescharacteristic, complemented
132#16837607C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic, complemented
149#16837553C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837548C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic
154#16837545C2211yescharacteristic, complemented
155#16837545C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic
159#16837534C2211yescharacteristic
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837508C2211yescharacteristic, complemented
168#16837501C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837489C2211yescharacteristic, complemented
171#16837489C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837457C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837428C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837401C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837400C2211yescharacteristic, complemented
187#16837396C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215#14273755—42no—
216#14273753—42no—
217#14273751—42no—
218#14273751—42no—
219#14273749—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669—42no—
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273723—21no—
250#14273723—21no—
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720D411yescharacteristic
263#14273720D411yescharacteristic
264#14273719—21no—
265#14273718D411yescharacteristic
266#14273718C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714—21no—
270#14273714—21no—
271#14273714D411yescharacteristic
272#14273714C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709D411yescharacteristic
292#14273709D411yescharacteristic
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707—21no—
299#14273707D411yescharacteristic
300#14273707C2311yescharacteristic
301#14273706—21no—
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698D411yescharacteristic
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273696—21no—
340#14273696—21no—
341#14273696—21no—
342#14273696—21no—
343#14273696—21no—
344#14273696—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352#14273692C2311yescharacteristic
353C4×D236—21no—
354C4×D236—21no—
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59—21no—
358D4×Dic59—21no—
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273686C2311yescharacteristic
380#14273686C2311yescharacteristic
381#14273685—21no—
382#14273685—21no—
383#14273684—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C22×C8×C59C2311yescharacteristic
449#127×C59C2311yescharacteristic
450#126×C59—21no—
451#125×C59C2311yescharacteristic
452#123×C59—21no—
453#121×C59—21no—
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460#120×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—41no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59—41no—
500C2×D4×C59—82no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊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⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534#11745687—41no—
535#11745687—41no—
536#11745687—41no—
537#11745687—41no—
538#11745687—82no—
539D4×D59—22no—
540D4×D59—41no—
541D4×D59—82no—
542#11745685—22no—
543#11745685—41no—
544#11745685—41no—
545#11745685—41no—
546#11745685—41no—
547#11745685—41no—
548#11745685—82no—
549#11745685—82no—
550C2×D236—22no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—41no—
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—82no—
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579D8×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582M16×C59—41no—
583C2×C8×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C42×C59—21no—
606C42×C59C2411yescharacteristic
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⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59C2×D411yescharacteristic
625C22⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630#11745670—41no—
631#11745670—41no—
632#11745670—41no—
633#11745670—41no—
634#11745670—41no—
635#11745669—22no—
636#11745669—22no—
637#11745669—22no—
638#11745669—41no—
639#11745669—41no—
640#11745669—41no—
641#11745669—41no—
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)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—41no—
699Dic236—41no—
700D472—22no—
701D472—41no—
702#11745660—22no—
703#11745660—22no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—41no—
740D4×C59—42no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—41no—
765C22⋊D59—41no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799D236—21no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—42no—
805D236—42no—
806D236—81no—
807D236H(5,𝔽2)12yes—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—41no—
811C4×D59—41no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823Dic118—21no—
824Dic118—21no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62083—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—22no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—84no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546—591no—
899#3513—591no—
900#3401—591no—
901#3399—591no—
902#3376—591no—
903#3366—591no—
904#3332—591no—
905#3323—591no—
906#3318D5911yescharacteristic, complemented
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—42no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#556—591no—
952#554—591no—
953#553—1181no—
954#553—1181no—
955#553C2×D5911yescharacteristic
956#552—591no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960#550—591no—
961#550—591no—
962#547—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42C2×D5911yescharacteristic, complemented
972#542—591no—
973#542—591no—
974#542—591no—
975#540—591no—
976#539—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#537—1181no—
981#535—591no—
982#535—591no—
983#535—1181no—
984#532—591no—
985#532—591no—
986#529—591no—
987#529—591no—
988#525—1181no—
989C2×#123—1181no—
990#520—591no—
991#518—591no—
992C2×C4×D4—591no—
993#497—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#491—591no—
1000#490—591no—
1001#490C2×D5911yescharacteristic, complemented
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#483—591no—
1007#482C2×D5911yescharacteristic, complemented
1008#481—591no—
1009#481—591no—
1010#481C2×D5911yescharacteristic, complemented
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#478C2×D5911yescharacteristic, complemented
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469C2×D5911yescharacteristic
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466C2×D5911yescharacteristic, complemented
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—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#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447C2×D5911yescharacteristic
1080#447C2×D5911yescharacteristic, complemented
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic, complemented
1089#441—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418C2×D5911yescharacteristic, complemented
1108#417—591no—
1109#417—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102C2×D5911yescharacteristic, complemented
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41—1181no—
1122C22×D4—21no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4C22×D5911yescharacteristic
1127C22×D4C22×D5911yescharacteristic
1128C23×C4—1181no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—2362no—
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8C22×D5911yescharacteristic
1165C4⋊Q8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#126—21no—
1176#126—591no—
1177#126—591no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—1181no—
1188#125C22×D5911yescharacteristic
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#123—21no—
1202#123—591no—
1203#123—591no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234#121—21no—
1235#121—21no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—21no—
1268#120—21no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×D4—21no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117C22×D5911yescharacteristic
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—1181no—
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4C22×D5911yescharacteristic
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333#107—591no—
1334#107C22×D5911yescharacteristic
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—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#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—4722no—
1401#41—4722no—
1402#41—4722no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411#41—2361no—
1412C2×Q8—591no—
1413C2×Q8—591no—
1414C2×Q8—591no—
1415C2×Q8—591no—
1416C2×Q8—1181no—
1417C2×Q8—1181no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—82no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—1182no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1182no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4D4×D5911yescharacteristic
1461C2×D4C23×D5911yescharacteristic
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—4722no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—2361no—
1491Q16—2361no—
1492SD16—1182no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—41no—
1503D8—41no—
1504D8—41no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—1182no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—41no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
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—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4D4×D5911yescharacteristic
1608C22⋊C4D4×D5911yescharacteristic
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—591no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2362no—
1638C23—2362no—
1639C23—2362no—
1640C23C2×D4×D5911yescharacteristic
1641C23C2×D4×D5911yescharacteristic
1642Q8—1181no—
1643Q8—1181no—
1644Q8—1181no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—4721no—
1649Q8—4721no—
1650Q8—2361no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—592no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—2362no—
1690D4—2362no—
1691D4—2361no—
1692D4—2361no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—162no—
1770C22—162no—
1771C22—1181no—
1772C22—1182no—
1773C22—1181no—
1774C22—1181no—
1775C22—9442no—
1776C22—4724no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—1181no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2362no—
1818C2#2143775911yescharacteristic
1819C2#2143887111yescharacteristic
1820C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21438464C2semidirect
2. #21438043C2semidirect
3. #21437167C2semidirect
4. #21437141C2semidirect
5. #21436926C2semidirect
6. #21436800C2semidirect
7. #21436421C2semidirect
8. #21436308C2semidirect
9. #21436220C2semidirect
10. #21436066C2semidirect
11. #21436053C2semidirect
12. #21435713C2semidirect
13. #21435707C2semidirect
14. #21435633C2semidirect
15. #21435626C2semidirect
16. #21435572C2semidirect
17. #21435569C2semidirect
18. #21435566C2semidirect
19. #21435500C2semidirect
20. #21435457C2semidirect
21. #21435186C2semidirect
22. #21435142C2semidirect
23. #21435134C2semidirect
24. #21434376C2semidirect
25. #21434275C2semidirect
26. #21434185C2semidirect
27. #21433640C2semidirect
28. #21433598C2semidirect
29. #21433555C2semidirect
30. #21433262C2semidirect
31. C59×#3318C2semidirect
32. C2×#14273755C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273749C22semidirect
40. #16838135C22semidirect
41. #16838122C22semidirect
42. #16838108C22semidirect
45. #16838091C22semidirect
48. #16838072C22semidirect
50. #16838070C22semidirect
51. #16838057C22semidirect
52. #16838053C22semidirect
54. #16838049C22semidirect
58. #16838046C22semidirect
59. #16838036C22semidirect
60. #16838019C22semidirect
61. #16838019C22semidirect
62. #16838019C22semidirect
63. #16838005C22semidirect
70. #16837969C22semidirect
71. #16837969C22semidirect
72. #16837950C22semidirect
73. #16837949C22semidirect
74. #16837937C22semidirect
78. #16837883C22semidirect
79. #16837876C22semidirect
80. C4×D4×D59C22semidirect
81. #16837796C22semidirect
83. #16837790C22semidirect
84. #16837789C22semidirect
85. #16837785C22semidirect
86. #16837777C22semidirect
87. #16837772C22semidirect
88. #16837765C22semidirect
89. #16837760C22semidirect
90. #16837755C22semidirect
91. #16837747C22semidirect
92. #16837743C22semidirect
93. #16837732C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837708C22semidirect
97. #16837704C22semidirect
98. #16837699C22semidirect
99. #16837691C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837686C22semidirect
103. #16837686C22semidirect
104. #16837681C22semidirect
105. #16837660C22semidirect
106. #16837656C22semidirect
108. #16837653C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837646C22semidirect
112. #16837631C22semidirect
113. #16837629C22semidirect
114. #16837629C22semidirect
115. #16837623C22semidirect
116. #16837623C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837618C22semidirect
120. #16837617C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837608C22semidirect
132. #16837607C22semidirect
133. #16837601C22semidirect
134. #16837601C22semidirect
135. #16837601C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837565C22semidirect
148. #16837555C22semidirect
149. #16837553C22semidirect
150. #16837549C22semidirect
151. #16837548C22semidirect
152. #16837548C22semidirect
154. #16837545C22semidirect
155. #16837545C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837515C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837508C22semidirect
168. #16837501C22semidirect
169. #16837493C22semidirect
170. #16837489C22semidirect
171. #16837489C22semidirect
172. #16837482C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837460C22semidirect
179. #16837460C22semidirect
180. #16837457C22semidirect
181. #16837430C22semidirect
182. #16837428C22semidirect
183. #16837424C22semidirect
184. #16837401C22semidirect
185. #16837400C22semidirect
186. #16837400C22semidirect
187. #16837396C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
906. #3318D59semidirect
971. D42C2×D59semidirect
1001. #490C2×D59semidirect
1007. #482C2×D59semidirect
1010. #481C2×D59semidirect
1014. #478C2×D59semidirect
1029. #466C2×D59semidirect
1062. #459C2×D59semidirect
1080. #447C2×D59semidirect
1088. #442C2×D59semidirect
1100. #435C2×D59semidirect
1107. #418C2×D59semidirect
1112. C2×#102C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214384642
#214380432
#214371672
#214371412
#214369262
#214368002
#214364212
#214363082
#214362202
#214360662
#214360532
#214357132
#214357072
#214356332
#214356262
#214355722
#214355692
#214355662
#214355002
#214354572
#214351862
#214351422
#214351342
#214343762
#214342752
#214341852
#214336402
#214335982
#214335552
#214332622
C59×#33182
#6208359