Finite Group Databasebeta

← #29473841

Subgroups — #29473841

Order 15104.

2632 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438125C211yesmaximal, characteristic, complemented
2D42×D59C211yesmaximal, characteristic, complemented
3#21436333C211yesmaximal, characteristic, complemented
4#21436331C211yesmaximal, characteristic, complemented
5#21436244C211yesmaximal, characteristic, complemented
6#21436242C211yesmaximal, characteristic, complemented
7#21436239C211yesmaximal, characteristic, complemented
8#21436237C211yesmaximal, characteristic, complemented
9#21435915C211yesmaximal, characteristic, complemented
10#21435913C211yesmaximal, characteristic, complemented
11D8×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435582C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435110C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434894C211yesmaximal, characteristic, complemented
21#21434892C211yesmaximal, characteristic, complemented
22#21434862C211yesmaximal, characteristic, complemented
23#21434859C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434142C211yesmaximal, characteristic, complemented
26#21433324C211yesmaximal, characteristic, complemented
27#21433321C211yesmaximal, characteristic, complemented
28C2×#16837534C211yesmaximal, characteristic, complemented
29#447×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C22×D4×D59—21no—
33C22×D4×D59C2211yescharacteristic, complemented
34C22×D4×D59C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C22×#11745669C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40C2×D8×D59C2211yescharacteristic, complemented
41#16838116C2211yescharacteristic, complemented
42#16838110C2211yescharacteristic, complemented
43#16838102C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838097—21no—
46#16838071C2211yescharacteristic, complemented
47#16838049—21no—
48#16838045C2211yescharacteristic, complemented
49#16838042—21no—
50D4×D236C2211yescharacteristic, complemented
51D4×D236C2211yescharacteristic, complemented
52#16838037C2211yescharacteristic, complemented
53#16838036—21no—
54#16838036C2211yescharacteristic
55#16838036C2211yescharacteristic, complemented
56D4×C22⋊D59—21no—
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838034—21no—
61#16838034—21no—
62#16838034—21no—
63#16838002—21no—
64#16837988—21no—
65#16837987—21no—
66#16837949C2211yescharacteristic, complemented
67#127×D59C2211yescharacteristic, complemented
68#16837931C2211yescharacteristic, complemented
69#16837915C2211yescharacteristic, complemented
70#16837909C2211yescharacteristic, complemented
71C2×#14273698C2211yescharacteristic, complemented
72#121×D59—21no—
73#121×D59C2211yescharacteristic, complemented
74#121×D59C2211yescharacteristic, complemented
75#121×D59C2211yescharacteristic, complemented
76#120×D59—21no—
77#120×D59—21no—
78#16837875—21no—
79C4×D4×D59C2211yescharacteristic
80C4×D4×D59C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837736C2211yescharacteristic, complemented
89#16837728C2211yescharacteristic, complemented
90#16837727C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837718C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837600C2211yescharacteristic, complemented
120#16837600C2211yescharacteristic, complemented
121#16837598C2211yescharacteristic, complemented
122#16837597C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic, complemented
124#16837595C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837552C2211yescharacteristic, complemented
129#16837551C2211yescharacteristic, complemented
130#16837551C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837538C2211yescharacteristic, complemented
138#16837538C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic, complemented
142#16837537C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic, complemented
144#16837536C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic, complemented
147#16837534C2211yescharacteristic
148#16837534C2211yescharacteristic, complemented
149#16837534C2211yescharacteristic, complemented
150#16837534C2211yescharacteristic, complemented
151#16837534C2211yescharacteristic, complemented
152#16837534C2211yescharacteristic, complemented
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C24×D59—21no—
204C24×D59—21no—
205C2×#11745689C2311yescharacteristic, complemented
206C2×#11745685—21no—
207C22×D236—21no—
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—42no—
230C2×D4×D59—42no—
231C2×D4×D59—42no—
232C2×D4×D59—42no—
233C2×D4×D59—48no—
234C2×D4×D59D411yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C2×D4×D59C2311yescharacteristic
241C2×D4×D59C2311yescharacteristic
242C2×D4×D59C2311yescharacteristic, complemented
243C22×C4×D59—21no—
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246#14273754—42no—
247#14273754—42no—
248#14273752—42no—
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic, complemented
251C2×#11745671C2311yescharacteristic, complemented
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic, complemented
254C2×D472C2311yescharacteristic, complemented
255C2×#11745669—42no—
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic, complemented
260C2×#11745669C2311yescharacteristic, complemented
261C2×#11745669C2311yescharacteristic, complemented
262C2×#11745669C2311yescharacteristic, complemented
263C2×#11745669C2311yescharacteristic, complemented
264C2×#11745669C2311yescharacteristic, complemented
265D8×D59—42no—
266D8×D59—42no—
267C2×#11745664C2311yescharacteristic, complemented
268C2×#11745659C2311yescharacteristic, complemented
269C2×#11745659C2311yescharacteristic, complemented
270C22×C59⋊C8C2311yescharacteristic, complemented
271C2×C8×D59C2311yescharacteristic, complemented
272C2×C8×D59C2311yescharacteristic, complemented
273#14273726C2311yescharacteristic, complemented
274#14273724C2311yescharacteristic
275#14273723—21no—
276#14273723—21no—
277#14273723—21no—
278#14273723C2311yescharacteristic
279#14273723C2311yescharacteristic
280#14273723C2311yescharacteristic, complemented
281#14273722—21no—
282#14273720—21no—
283#14273720—21no—
284#14273719C2311yescharacteristic, complemented
285#14273717—21no—
286#14273714—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273707—21no—
296#14273704—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic, complemented
299#14273702—21no—
300#14273702C2311yescharacteristic
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273701—21no—
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic, complemented
308#14273701C2311yescharacteristic, complemented
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic, complemented
334#14273698C2311yescharacteristic, complemented
335#14273698C2311yescharacteristic, complemented
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273696—21no—
345#14273696—21no—
346#14273696—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355Q8×Dic59C2311yescharacteristic, complemented
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic, complemented
359D4×Dic59D411yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic, complemented
362#14273689—21no—
363#14273689D411yescharacteristic
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4D411yescharacteristic
379(C22⋊D59)⋊C4D411yescharacteristic
380#14273686C2311yescharacteristic, complemented
381#14273685C2311yescharacteristic, complemented
382#14273683—21no—
383#14273683—21no—
384C2×C4⋊Dic59C2311yescharacteristic, complemented
385C4⋊C4×D59D411yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic, complemented
388C2×C22⋊Dic59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59D411yescharacteristic
395C22⋊C4×D59D411yescharacteristic
396C42×D59C2311yescharacteristic
397#14273661C2311yescharacteristic, complemented
398#14273660C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273659C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402#14273658C2311yescharacteristic, complemented
403#14273658C2311yescharacteristic, complemented
404C4⋊(C59⋊C8)C2311yescharacteristic, complemented
405Dic59⋊C8C2311yescharacteristic, complemented
406Dic59⋊C8C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic, complemented
412#14273649C2311yescharacteristic, complemented
413#14273649C2311yescharacteristic, complemented
414#14273649C2311yescharacteristic, complemented
415#14273649C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic, complemented
417#14273649C2311yescharacteristic, complemented
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic, complemented
422#14273648C2311yescharacteristic, complemented
423#14273648C2311yescharacteristic, complemented
424#14273648C2311yescharacteristic, complemented
425#14273648C2311yescharacteristic, complemented
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic, complemented
431#14273647C2311yescharacteristic, complemented
432#14273647C2311yescharacteristic, complemented
433C22⋊(C59⋊C8)C2311yescharacteristic, complemented
434C22⋊(C59⋊C8)C2311yescharacteristic, complemented
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442(C2×D59)⋊C8C2311yescharacteristic, complemented
443#14273638C2311yescharacteristic, complemented
444C8×Dic59C2311yescharacteristic, complemented
445C8×Dic59C2311yescharacteristic, complemented
446C2×#41×C59C2311yescharacteristic, complemented
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic, complemented
451AGL(1,ℤ/8)×C59—42no—
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic, complemented
454C2×SD16×C59C2311yescharacteristic, complemented
455C2×D8×C59—42no—
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic, complemented
459C2×D8×C59C2311yescharacteristic, complemented
460C2×D8×C59C2311yescharacteristic, complemented
461C2×D8×C59C2311yescharacteristic, complemented
462C2×M16×C59C2311yescharacteristic, complemented
463C22×C8×C59C2311yescharacteristic, complemented
464#127×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic, complemented
466#123×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic, complemented
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic, complemented
473#120×C59—21no—
474#120×C59—21no—
475#120×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic, complemented
479C2×C22⋊C4×C59—21no—
480#106×C59C2311yescharacteristic, complemented
481C4⋊C8×C59C2311yescharacteristic, complemented
482#103×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic, complemented
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487#102×C59C2311yescharacteristic, complemented
488C22⋊C8×C59C2311yescharacteristic, complemented
489C22⋊C8×C59C2311yescharacteristic, complemented
490#97×C59C2311yescharacteristic, complemented
491C24×C59—21no—
492C24×C59—21no—
493C24×C59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499C23×D59—21no—
500C23×D59—21no—
501C23×D59—21no—
502C23×D59—21no—
503C23×D59—21no—
504C23×D59—44no—
505C23×D59—44no—
506C23×D59—44no—
507C23×D59—44no—
508C23×D59—82no—
509C23×D59—82no—
510C23×D59C2×D411yescharacteristic
511C23×D59C2×D411yescharacteristic
512#41×C59—41no—
513#41×C59—41no—
514C2×Q8×C59C2411yescharacteristic
515C2×D4×C59—22no—
516C2×D4×C59—22no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59—41no—
530C2×D4×C59—44no—
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C2×D4×C59C2411yescharacteristic
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—44no—
568C2×C22⋊D59—44no—
569C2×C22⋊D59—44no—
570C2×C22⋊D59—44no—
571C2×C22⋊D59—44no—
572C2×C22⋊D59—82no—
573C2×C22⋊D59C2×D411yescharacteristic
574C2×C22⋊D59C2×D411yescharacteristic
575C22×Dic59—21no—
576C22×Dic59—21no—
577C22×Dic59—21no—
578C22×Dic59C2×D411yescharacteristic
579C22×Dic59C2×D411yescharacteristic
580#11745689—41no—
581#11745689—41no—
582D4×D59—22no—
583D4×D59—24no—
584D4×D59—22no—
585D4×D59—22no—
586D4×D59—22no—
587D4×D59—22no—
588D4×D59—22no—
589D4×D59—41no—
590D4×D59—41no—
591D4×D59—41no—
592D4×D59—41no—
593D4×D59—41no—
594D4×D59—41no—
595D4×D59—41no—
596D4×D59—41no—
597D4×D59—41no—
598D4×D59—41no—
599D4×D59—44no—
600D4×D59—44no—
601D4×D59—44no—
602D4×D59—44no—
603D4×D59—44no—
604D4×D59—44no—
605D4×D59—44no—
606D4×D59—44no—
607D4×D59—44no—
608D4×D59—44no—
609D4×D59—44no—
610D4×D59—82no—
611D4×D59—82no—
612#11745685—82no—
613C2×D236—22no—
614C2×D236—22no—
615C2×D236—21no—
616C2×D236—21no—
617C2×D236—21no—
618C2×D236—21no—
619C2×D236—21no—
620C2×D236—21no—
621C2×D236—21no—
622C2×D236—21no—
623C2×D236—41no—
624C2×D236—41no—
625C2×D236—44no—
626C2×D236C2×D411yescharacteristic
627C2×D236C2411yescharacteristic
628C2×D236C2411yescharacteristic
629C2×D236C2411yescharacteristic
630C2×D236C2411yescharacteristic
631C2×C4×D59—21no—
632C2×C4×D59—21no—
633C2×C4×D59—21no—
634C2×C4×D59—21no—
635C2×C4×D59—21no—
636C2×C4×D59—21no—
637C2×C4×D59—41no—
638C2×C4×D59—41no—
639C2×C4×D59—41no—
640C2×C4×D59—41no—
641C2×C4×D59—44no—
642C2×C4×D59C2×D411yescharacteristic
643C2×C4×D59C2×D411yescharacteristic
644C2×C4×D59C2×D411yescharacteristic
645C2×C4×D59C2×D411yescharacteristic
646C2×C4×D59C2×D411yescharacteristic
647C2×C4×D59C2×D411yescharacteristic
648C2×C4×D59C2411yescharacteristic
649C2×C4×D59C2411yescharacteristic
650C2×C4×D59C2411yescharacteristic
651C2×Dic118—21no—
652SD16×C59—22no—
653SD16×C59—41no—
654SD16×C59—41no—
655D8×C59—22no—
656D8×C59—22no—
657D8×C59—41no—
658D8×C59—41no—
659D8×C59—41no—
660D8×C59—41no—
661M16×C59—41no—
662C2×C8×C59—41no—
663C2×C8×C59C2411yescharacteristic
664C2×C8×C59C2411yescharacteristic
665C2×C8×C59C2411yescharacteristic
666C2×C8×C59C2411yescharacteristic
667C4⋊C4×C59—21no—
668C4⋊C4×C59C2×D411yescharacteristic
669C4⋊C4×C59C2411yescharacteristic
670C4⋊C4×C59C2411yescharacteristic
671C22⋊C4×C59—21no—
672C22⋊C4×C59—21no—
673C22⋊C4×C59—21no—
674C22⋊C4×C59—21no—
675C22⋊C4×C59—21no—
676C22⋊C4×C59—21no—
677C22⋊C4×C59—21no—
678C22⋊C4×C59—21no—
679C22⋊C4×C59C2×D411yescharacteristic
680C22⋊C4×C59C2×D411yescharacteristic
681C42×C59C2411yescharacteristic
682C22⋊Dic59—21no—
683C22⋊Dic59—21no—
684C22⋊Dic59—21no—
685C22⋊Dic59—21no—
686C22⋊Dic59—21no—
687C22⋊Dic59—21no—
688C22⋊Dic59—21no—
689C22⋊Dic59—21no—
690C22⋊Dic59—21no—
691C22⋊Dic59—21no—
692C22⋊Dic59C2×D411yescharacteristic
693C22⋊Dic59C2×D411yescharacteristic
694#11745671—22no—
695#11745671—41no—
696#11745671—41no—
697#11745669—22no—
698#11745669—22no—
699#11745669—22no—
700#11745669—41no—
701#11745669—41no—
702#11745669—41no—
703#11745669—41no—
704#11745669—41no—
705#11745669—41no—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4—21no—
711(C2×D59)⋊C4—21no—
712(C2×D59)⋊C4—21no—
713(C2×D59)⋊C4—21no—
714(C2×D59)⋊C4—21no—
715(C2×D59)⋊C4—21no—
716(C2×D59)⋊C4—21no—
717(C2×D59)⋊C4—21no—
718(C2×D59)⋊C4—21no—
719(C2×D59)⋊C4C2×D411yescharacteristic
720(C2×D59)⋊C4C2×D411yescharacteristic
721(C2×D59)⋊C4C2×D411yescharacteristic
722(C2×D59)⋊C4C2×D411yescharacteristic
723C4⋊Dic59—21no—
724C4⋊Dic59—21no—
725C4⋊Dic59C2×D411yescharacteristic
726C4⋊Dic59C2411yescharacteristic
727C4⋊Dic59C2411yescharacteristic
728C4⋊Dic59C2411yescharacteristic
729C4⋊Dic59C2411yescharacteristic
730Dic59⋊C4—21no—
731Dic59⋊C4—21no—
732Dic59⋊C4—21no—
733Dic59⋊C4—21no—
734Dic59⋊C4—21no—
735Dic59⋊C4—21no—
736Dic59⋊C4—21no—
737Dic59⋊C4C2×D411yescharacteristic
738Dic59⋊C4C2×D411yescharacteristic
739C4×Dic59—21no—
740C4×Dic59—21no—
741C4×Dic59—21no—
742C4×Dic59C2×D411yescharacteristic
743C4×Dic59C2×D411yescharacteristic
744C4×Dic59C2411yescharacteristic
745#11745664—41no—
746C2×C59⋊C8—41no—
747C2×C59⋊C8C2411yescharacteristic
748C2×C59⋊C8C2411yescharacteristic
749C2×C59⋊C8C2411yescharacteristic
750C2×C59⋊C8C2411yescharacteristic
751D472—22no—
752D472—41no—
753D472—41no—
754#11745659—41no—
755#11745659—41no—
756C8×D59—41no—
757C8×D59—41no—
758C23×C59—21no—
759C23×C59—21no—
760C23×C59—21no—
761C23×C59—21no—
762C23×C59—21no—
763C23×C59—42no—
764C23×C59—42no—
765C23×C59—42no—
766C23×C59—42no—
767C23×C59—42no—
768C23×C59—81no—
769C23×C59—81no—
770C23×C59—81no—
771C23×C59—81no—
772C23×C59C22×D411yescharacteristic
773C23×C59C22×D411yescharacteristic
774C22×D59—24no—
775C22×D59—22no—
776C22×D59—21no—
777C22×D59—22no—
778C22×D59—22no—
779C22×D59—22no—
780C22×D59—21no—
781C22×D59—21no—
782C22×D59—21no—
783C22×D59—41no—
784C22×D59—41no—
785C22×D59—42no—
786C22×D59—42no—
787C22×D59—42no—
788C22×D59—42no—
789C22×D59—42no—
790C22×D59—42no—
791C22×D59—42no—
792C22×D59—42no—
793C22×D59—42no—
794C22×D59—42no—
795C22×D59—42no—
796C22×D59—42no—
797C22×D59—42no—
798C22×D59—42no—
799C22×D59—42no—
800C22×D59—42no—
801C22×D59—42no—
802C22×D59—42no—
803C22×D59—42no—
804C22×D59—42no—
805C22×D59—42no—
806C22×D59—81no—
807C22×D59—81no—
808C22×D59—81no—
809C22×D59—81no—
810C22×D59—81no—
811C22×D59—81no—
812C22×D59—81no—
813C22×D59—81no—
814C22×D59—816no—
815C22×D59—816no—
816C22×D59C22×D411yescharacteristic
817C22×D59C22×D411yescharacteristic
818C22×D59C22×D411yescharacteristic
819Q8×C59—21no—
820Q8×C59—21no—
821D4×C59—22no—
822D4×C59—21no—
823D4×C59—21no—
824D4×C59—21no—
825D4×C59—21no—
826D4×C59—21no—
827D4×C59—21no—
828D4×C59—21no—
829D4×C59—21no—
830D4×C59—21no—
831D4×C59—42no—
832D4×C59—42no—
833D4×C59—42no—
834D4×C59—42no—
835D4×C59—42no—
836D4×C59—81no—
837D4×C59—81no—
838D4×C59—81no—
839D4×C59—81no—
840D4×C59H(5,𝔽2)12yes—
841C2×C4×C59—21no—
842C2×C4×C59—21no—
843C2×C4×C59—21no—
844C2×C4×C59—21no—
845C2×C4×C59—21no—
846C2×C4×C59—21no—
847C2×C4×C59—21no—
848C2×C4×C59—42no—
849C2×C4×C59—81no—
850C2×C4×C59—81no—
851C2×C4×C59C22×D411yescharacteristic
852C2×C4×C59C22×D411yescharacteristic
853C2×C4×C59C22×D411yescharacteristic
854C2×C4×C59C22×D411yescharacteristic
855C2×C4×C59C2511yescharacteristic
856C22⋊D59—24no—
857C22⋊D59—22no—
858C22⋊D59—42no—
859C22⋊D59—42no—
860C22⋊D59—42no—
861C22⋊D59—42no—
862C22⋊D59—42no—
863C22⋊D59—42no—
864C22⋊D59—42no—
865C22⋊D59—42no—
866C22⋊D59—42no—
867C22⋊D59—42no—
868C22⋊D59—42no—
869C22⋊D59—42no—
870C22⋊D59—42no—
871C22⋊D59—42no—
872C22⋊D59—42no—
873C22⋊D59—42no—
874C22⋊D59—42no—
875C22⋊D59—81no—
876C22⋊D59—81no—
877C22⋊D59—81no—
878C22⋊D59—81no—
879C22⋊D59—81no—
880C22⋊D59—81no—
881C22⋊D59—81no—
882C22⋊D59AGL(1,ℤ/8)14yescomplemented
883C2×Dic59—21no—
884C2×Dic59—21no—
885C2×Dic59—21no—
886C2×Dic59—21no—
887C2×Dic59—41no—
888C2×Dic59—41no—
889C2×Dic59—42no—
890C2×Dic59—42no—
891C2×Dic59—81no—
892C2×Dic59C22×D411yescharacteristic
893C2×Dic59C22×D411yescharacteristic
894C2×Dic59C22×D411yescharacteristic
895C2×Dic59C22×D411yescharacteristic
896C2×Dic59C22×D411yescharacteristic
897D236—22no—
898D236—21no—
899D236—21no—
900D236—21no—
901D236—21no—
902D236—21no—
903D236—21no—
904D236—21no—
905D236—42no—
906D236—42no—
907D236—42no—
908D236—42no—
909D236—42no—
910D236—42no—
911D236—81no—
912D236—81no—
913D236H(5,𝔽2)12yes—
914C4×D59—22no—
915C4×D59—21no—
916C4×D59—21no—
917C4×D59—21no—
918C4×D59—21no—
919C4×D59—21no—
920C4×D59—21no—
921C4×D59—22no—
922C4×D59—41no—
923C4×D59—41no—
924C4×D59—41no—
925C4×D59—41no—
926C4×D59—42no—
927C4×D59—42no—
928C4×D59—42no—
929C4×D59—81no—
930C4×D59—81no—
931C4×D59—81no—
932Dic118—81no—
933C8×C59—21no—
934C8×C59—21no—
935C8×C59—21no—
936C8×C59—21no—
937C59⋊C8—21no—
938C59⋊C8—21no—
939C59⋊C8—21no—
940C59⋊C8—21no—
941#61591—591nomaximal, Sylow
942C22×C59—21no—
943C22×C59—21no—
944C22×C59—21no—
945C22×C59—22no—
946C22×C59—21no—
947C22×C59—21no—
948C22×C59—41no—
949C22×C59—41no—
950C22×C59—41no—
951C22×C59—41no—
952C22×C59—41no—
953C22×C59—41no—
954C22×C59—41no—
955C22×C59—41no—
956C22×C59—41no—
957C22×C59—41no—
958C22×C59—41no—
959C22×C59—41no—
960C22×C59—41no—
961C22×C59—41no—
962C22×C59—84no—
963C22×C59—84no—
964C22×C59—162no—
965C22×C59C2×AGL(1,ℤ/8)12yes—
966C22×C59C23×D411yescharacteristic
967C2×D59—21no—
968C2×D59—21no—
969C2×D59—21no—
970C2×D59—21no—
971C2×D59—21no—
972C2×D59—22no—
973C2×D59—21no—
974C2×D59—21no—
975C2×D59—44no—
976C2×D59—44no—
977C2×D59—48no—
978C2×D59—41no—
979C2×D59—41no—
980C2×D59—41no—
981C2×D59—41no—
982C2×D59—41no—
983C2×D59—41no—
984C2×D59—41no—
985C2×D59—41no—
986C2×D59—41no—
987C2×D59—41no—
988C2×D59—41no—
989C2×D59—84no—
990C2×D59—84no—
991C2×D59—84no—
992C2×D59—84no—
993C2×D59—84no—
994C2×D59—84no—
995C2×D59—84no—
996C2×D59—84no—
997C2×D59—162no—
998C2×D59C2×AGL(1,ℤ/8)12yes—
999C2×D59#57612yes—
1000C4×C59—21no—
1001C4×C59—21no—
1002C4×C59—21no—
1003C4×C59—21no—
1004C4×C59—41no—
1005C4×C59—41no—
1006C4×C59—41no—
1007C4×C59C2×H(5,𝔽2)11yescharacteristic
1008C4×C59C2×H(5,𝔽2)11yescharacteristic
1009Dic59—21no—
1010Dic59—21no—
1011Dic59—21no—
1012Dic59—21no—
1013Dic59—41no—
1014Dic59—41no—
1015Dic59—41no—
1016Dic59—41no—
1017Dic59C2×AGL(1,ℤ/8)12yes—
1018#3519—591no—
1019C2×D42—591no—
1020#3325—591no—
1021#3325—591no—
1022#3318—591no—
1023#3318—591no—
1024#3318—591no—
1025#3318—591no—
1026#3295—591no—
1027#3295—591no—
1028D4×D8—591no—
1029D4×D8—591no—
1030#3274—591no—
1031#3274—591no—
1032#3264—591no—
1033#3264—591no—
1034#3264—591no—
1035#3264D5911yescharacteristic, complemented
1036#3217—591no—
1037#3205—591no—
1038#3192—591no—
1039#3192—591no—
1040#3188—591no—
1041#3188—591no—
1042#3109—591no—
1043#3105—591no—
1044#3003—591no—
1045#3003—591no—
1046C2×#447—591no—
1047C2×#447—591no—
1048#2974—591no—
1049C2×C59—22no—
1050C2×C59—41no—
1051C2×C59—42no—
1052C2×C59—81no—
1053C2×C59—81no—
1054C2×C59—81no—
1055C2×C59—81no—
1056C2×C59#348411yescharacteristic
1057C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1058C2×C59C2×#57611yescharacteristic
1059D59—22no—
1060D59—22no—
1061D59—41no—
1062D59—42no—
1063D59—81no—
1064D59—81no—
1065D59—81no—
1066C23×D4—591no—
1067C23×D4—591no—
1068C23×D4—1181no—
1069C2×AGL(1,ℤ/8)—591no—
1070C2×AGL(1,ℤ/8)—591no—
1071C2×AGL(1,ℤ/8)—591no—
1072C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1073C22×D8—591no—
1074C22×D8—591no—
1075C22×D8—591no—
1076C22×D8C2×D5911yescharacteristic, complemented
1077#555—591no—
1078#554—591no—
1079#553—591no—
1080#553—591no—
1081#553—1181no—
1082#550—591no—
1083#546—591no—
1084#546—1181no—
1085#546—1181no—
1086#546C2×D5911yescharacteristic, complemented
1087D42—591no—
1088D42—591no—
1089D42—591no—
1090D42—591no—
1091D42—591no—
1092D42—591no—
1093D42—591no—
1094D42—591no—
1095D42—1181no—
1096D42—1181no—
1097D42—1181no—
1098D42—1181no—
1099D42—1181no—
1100D42C2×D5911yescharacteristic, complemented
1101#540—1181no—
1102#538—1181no—
1103#538—1181no—
1104#532—591no—
1105C2×#127—591no—
1106#529—591no—
1107#525—591no—
1108#525—591no—
1109C2×#121—591no—
1110C2×#121—591no—
1111C2×#121—591no—
1112C2×#121—591no—
1113C2×#121—1181no—
1114C2×#120—1181no—
1115C2×#120—1181no—
1116#518—1181no—
1117C2×C4×D4—591no—
1118C2×C4×D4—591no—
1119#496—591no—
1120#496C2×D5911yescharacteristic, complemented
1121#493—591no—
1122#493—591no—
1123#490—591no—
1124#490—591no—
1125#486—591no—
1126#486—591no—
1127#484—591no—
1128#482—591no—
1129#482—591no—
1130#482—591no—
1131#482—591no—
1132#481—591no—
1133#481—591no—
1134#481—591no—
1135#481—591no—
1136#481—591no—
1137#481—591no—
1138#481—591no—
1139#478—591no—
1140#478—591no—
1141#476—591no—
1142#476—591no—
1143#469—591no—
1144#469—591no—
1145#469—591no—
1146#469—591no—
1147#469—591no—
1148#469—591no—
1149#469—591no—
1150#469C2×D5911yescharacteristic, complemented
1151#466—591no—
1152#466—591no—
1153#466—591no—
1154#466—591no—
1155#465—591no—
1156#465—591no—
1157#465—591no—
1158#465C2×D5911yescharacteristic, complemented
1159#463—591no—
1160#463C2×D5911yescharacteristic, complemented
1161#460—591no—
1162#460—591no—
1163#459—591no—
1164#459—591no—
1165#459—591no—
1166#459—591no—
1167#459—591no—
1168#459—591no—
1169#459—591no—
1170#459C2×D5911yescharacteristic, complemented
1171#450—591no—
1172#450—591no—
1173#450—591no—
1174#450—591no—
1175#450—591no—
1176#450—591no—
1177#450C2×D5911yescharacteristic, complemented
1178#449—591no—
1179#449—591no—
1180#449—591no—
1181#449C2×D5911yescharacteristic, complemented
1182#447—591no—
1183#447—591no—
1184#447—591no—
1185#447—591no—
1186#447—591no—
1187#447—591no—
1188#447—591no—
1189#447—591no—
1190#447—591no—
1191#447—591no—
1192#447—591no—
1193#447—591no—
1194#447—591no—
1195#447—591no—
1196#447—591no—
1197#447—591no—
1198#447—591no—
1199#447—591no—
1200#447—591no—
1201#447—591no—
1202#447—591no—
1203#447—591no—
1204#447—591no—
1205#447C2×D5911yescharacteristic, complemented
1206#447C2×D5911yescharacteristic, complemented
1207#442—591no—
1208#442—591no—
1209#442—591no—
1210#442C2×D5911yescharacteristic, complemented
1211C4×SD16—591no—
1212C4×SD16—591no—
1213C4×D8—591no—
1214C4×D8—591no—
1215#436—591no—
1216#436—591no—
1217#435—591no—
1218#435—591no—
1219#435—591no—
1220#435C2×D5911yescharacteristic, complemented
1221C8×D4—591no—
1222C8×D4—591no—
1223#432—591no—
1224#431—591no—
1225#418—591no—
1226#418—591no—
1227#418—591no—
1228#418—591no—
1229C2×#102—591no—
1230C2×#102—591no—
1231C2×#102—591no—
1232C2×#102—591no—
1233#407—591no—
1234#407—591no—
1235C2×C22⋊C8—591no—
1236C2×C22⋊C8—591no—
1237C59#6159111yescharacteristic, complemented, Sylow
1238C25—1181no—
1239C25—1181no—
1240C2×#41—591no—
1241C2×#41—1181no—
1242C2×#41C22×D5911yescharacteristic, complemented
1243C22×D4—21no—
1244C22×D4—591no—
1245C22×D4—591no—
1246C22×D4—591no—
1247C22×D4—591no—
1248C22×D4—591no—
1249C22×D4—591no—
1250C22×D4—591no—
1251C22×D4—591no—
1252C22×D4—591no—
1253C22×D4—591no—
1254C22×D4—591no—
1255C22×D4—1181no—
1256C22×D4—1181no—
1257C22×D4—1181no—
1258C22×D4—1181no—
1259C22×D4—1181no—
1260C22×D4—1181no—
1261C22×D4—1181no—
1262C22×D4—1181no—
1263C22×D4—1181no—
1264C22×D4—1181no—
1265C22×D4—1181no—
1266C22×D4—1181no—
1267C22×D4—1181no—
1268C22×D4—1181no—
1269C22×D4—1181no—
1270C22×D4—1181no—
1271C22×D4—1181no—
1272C22×D4—1181no—
1273C22×D4—1181no—
1274C22×D4—1181no—
1275C22×D4—2362no—
1276C22×D4—2362no—
1277C22×D4—2362no—
1278C22×D4—2362no—
1279C22×D4—2368no—
1280C22×D4C22×D5911yescharacteristic
1281C22×D4C22×D5911yescharacteristic
1282C22×D4C22×D5911yescharacteristic, complemented
1283C23×C4—591no—
1284C23×C4—591no—
1285C23×C4—1181no—
1286AGL(1,ℤ/8)—42no—
1287AGL(1,ℤ/8)—2362no—
1288AGL(1,ℤ/8)—2362no—
1289AGL(1,ℤ/8)—2362no—
1290C2×SD16—591no—
1291C2×SD16—591no—
1292C2×SD16—591no—
1293C2×SD16C22×D5911yescharacteristic
1294C2×SD16C22×D5911yescharacteristic, complemented
1295C2×SD16C22×D5911yescharacteristic, complemented
1296C2×D8—42no—
1297C2×D8—591no—
1298C2×D8—591no—
1299C2×D8—591no—
1300C2×D8—591no—
1301C2×D8—591no—
1302C2×D8—591no—
1303C2×D8—591no—
1304C2×D8—591no—
1305C2×D8—591no—
1306C2×D8—591no—
1307C2×D8—591no—
1308C2×D8—591no—
1309C2×D8—2362no—
1310C2×D8—2362no—
1311C2×D8—2362no—
1312C2×D8C22×D5911yescharacteristic
1313C2×D8C22×D5911yescharacteristic
1314C2×D8C22×D5911yescharacteristic, complemented
1315C2×D8C22×D5911yescharacteristic, complemented
1316C2×D8C22×D5911yescharacteristic, complemented
1317C2×D8C22×D5911yescharacteristic, complemented
1318C2×M16—591no—
1319C2×M16—591no—
1320C2×M16—591no—
1321C2×M16C22×D5911yescharacteristic, complemented
1322C22×C8—591no—
1323C22×C8—591no—
1324C22×C8—591no—
1325C22×C8C22×D5911yescharacteristic, complemented
1326C4⋊Q8—591no—
1327#127—591no—
1328#127—591no—
1329#127—591no—
1330#127—591no—
1331#127—1181no—
1332#127—1181no—
1333#127—1181no—
1334#127C22×D5911yescharacteristic
1335#126—1181no—
1336#126—1181no—
1337#126—1181no—
1338#125—591no—
1339#125—1181no—
1340#124—1181no—
1341#124—1181no—
1342#124—1181no—
1343#124C22×D5911yescharacteristic, complemented
1344#123—21no—
1345#123—1181no—
1346#123—1181no—
1347#123—1181no—
1348#123—1181no—
1349#123—1181no—
1350#123—1181no—
1351C22⋊Q8—591no—
1352C22⋊Q8—591no—
1353C22⋊Q8—1181no—
1354C22⋊Q8—1181no—
1355C22⋊Q8C22×D5911yescharacteristic, complemented
1356#121—21no—
1357#121—21no—
1358#121—591no—
1359#121—591no—
1360#121—591no—
1361#121—591no—
1362#121—591no—
1363#121—591no—
1364#121—591no—
1365#121—591no—
1366#121—591no—
1367#121—591no—
1368#121—591no—
1369#121—591no—
1370#121—591no—
1371#121—591no—
1372#121—1181no—
1373#121—1181no—
1374#121—1181no—
1375#121—1181no—
1376#121—1181no—
1377#121—1181no—
1378#121—1181no—
1379#121—1181no—
1380#121—1181no—
1381#121—1181no—
1382#121—1181no—
1383#121—1181no—
1384#121—1181no—
1385#121—1181no—
1386#121—1181no—
1387#121—1181no—
1388#121—1181no—
1389#121—1181no—
1390#121—1181no—
1391#121—1181no—
1392#121—1181no—
1393#121—1181no—
1394#121—1181no—
1395#121C22×D5911yescharacteristic
1396#121C22×D5911yescharacteristic
1397#121C22×D5911yescharacteristic, complemented
1398#120—21no—
1399#120—21no—
1400#120—21no—
1401#120—1181no—
1402#120—1181no—
1403#120—1181no—
1404#120—1181no—
1405#120—1181no—
1406#120—1181no—
1407#120—1181no—
1408#120—1181no—
1409#120—1181no—
1410#120—1181no—
1411#120—1181no—
1412#120—1181no—
1413#120—1181no—
1414#120—1181no—
1415#120—1181no—
1416#120—1181no—
1417#120—1181no—
1418#120—1181no—
1419#120—1181no—
1420C4×Q8—591no—
1421C4×D4—591no—
1422C4×D4—591no—
1423C4×D4—591no—
1424C4×D4—591no—
1425C4×D4—591no—
1426C4×D4—591no—
1427C4×D4—591no—
1428C4×D4—591no—
1429C4×D4—591no—
1430C4×D4—591no—
1431C4×D4—591no—
1432C4×D4—591no—
1433C4×D4—1181no—
1434C4×D4—1181no—
1435C4×D4—1181no—
1436C4×D4—1181no—
1437C4×D4—1181no—
1438C4×D4—1181no—
1439C4×D4—1181no—
1440C4×D4—1181no—
1441C4×D4—1181no—
1442C4×D4—1181no—
1443C4×D4—1181no—
1444C4×D4—1181no—
1445C4×D4C22×D5911yescharacteristic
1446C4×D4C22×D5911yescharacteristic
1447C4×D4C22×D5911yescharacteristic, complemented
1448#117—591no—
1449#117—591no—
1450#117—1181no—
1451#117—1181no—
1452C2×C4⋊C4—591no—
1453C2×C4⋊C4—591no—
1454C2×C4⋊C4—591no—
1455C2×C4⋊C4—591no—
1456C2×C22⋊C4—21no—
1457C2×C22⋊C4—591no—
1458C2×C22⋊C4—591no—
1459C2×C22⋊C4—1181no—
1460C2×C22⋊C4—1181no—
1461C2×C22⋊C4—1181no—
1462C2×C22⋊C4—1181no—
1463C2×C22⋊C4—1181no—
1464C2×C22⋊C4—1181no—
1465C2×C42—591no—
1466#107—591no—
1467#107—591no—
1468#106—591no—
1469#106—591no—
1470#106—591no—
1471#106—591no—
1472#106—591no—
1473#106C22×D5911yescharacteristic, complemented
1474C4⋊C8—591no—
1475C4⋊C8—591no—
1476C4⋊C8—591no—
1477C4⋊C8C22×D5911yescharacteristic, complemented
1478#103—591no—
1479#103C22×D5911yescharacteristic, complemented
1480#102—591no—
1481#102—591no—
1482#102—591no—
1483#102—591no—
1484#102—591no—
1485#102—591no—
1486#102—591no—
1487#102—591no—
1488#102—591no—
1489#102—591no—
1490#102—591no—
1491#102—591no—
1492#102—591no—
1493#102—591no—
1494#102—591no—
1495#102—591no—
1496#102—591no—
1497#102—591no—
1498#102—591no—
1499#102—591no—
1500#102—591no—
1501#102—591no—
1502#102—591no—
1503#102—591no—
1504#102—591no—
1505#102C22×D5911yescharacteristic
1506#102C22×D5911yescharacteristic, complemented
1507#102C22×D5911yescharacteristic, complemented
1508#102C22×D5911yescharacteristic, complemented
1509#102C22×D5911yescharacteristic, complemented
1510C22⋊C8—591no—
1511C22⋊C8—591no—
1512C22⋊C8—591no—
1513C22⋊C8—591no—
1514C22⋊C8—591no—
1515C22⋊C8—591no—
1516C22⋊C8—591no—
1517C22⋊C8—591no—
1518C22⋊C8—591no—
1519C22⋊C8—591no—
1520C22⋊C8C22×D5911yescharacteristic, complemented
1521C22⋊C8C22×D5911yescharacteristic, complemented
1522#97—591no—
1523#97C22×D5911yescharacteristic, complemented
1524C4×C8—591no—
1525C4×C8—591no—
1526C24—21no—
1527C24—21no—
1528C24—21no—
1529C24—591no—
1530C24—591no—
1531C24—1181no—
1532C24—1181no—
1533C24—1181no—
1534C24—1181no—
1535C24—1181no—
1536C24—1181no—
1537C24—1181no—
1538C24—1181no—
1539C24—1181no—
1540C24—1181no—
1541C24—4722no—
1542C24—4722no—
1543C24—2364no—
1544C24—2364no—
1545C24—2364no—
1546C24—2364no—
1547#41—41no—
1548#41—41no—
1549#41—4722no—
1550#41—2361no—
1551#41—2361no—
1552C2×Q8—1181no—
1553C2×Q8C23×D5911yescharacteristic
1554C2×D4—22no—
1555C2×D4—22no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—21no—
1563C2×D4—21no—
1564C2×D4—21no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—44no—
1570C2×D4—591no—
1571C2×D4—591no—
1572C2×D4—591no—
1573C2×D4—591no—
1574C2×D4—591no—
1575C2×D4—591no—
1576C2×D4—591no—
1577C2×D4—1182no—
1578C2×D4—1182no—
1579C2×D4—1181no—
1580C2×D4—1181no—
1581C2×D4—1181no—
1582C2×D4—1181no—
1583C2×D4—1181no—
1584C2×D4—1181no—
1585C2×D4—1181no—
1586C2×D4—1181no—
1587C2×D4—1181no—
1588C2×D4—1181no—
1589C2×D4—1181no—
1590C2×D4—1181no—
1591C2×D4—1181no—
1592C2×D4—1181no—
1593C2×D4—1181no—
1594C2×D4—1181no—
1595C2×D4—1181no—
1596C2×D4—1181no—
1597C2×D4—1184no—
1598C2×D4—1182no—
1599C2×D4—1182no—
1600C2×D4—1182no—
1601C2×D4—1182no—
1602C2×D4—1182no—
1603C2×D4—1182no—
1604C2×D4—1181no—
1605C2×D4—1181no—
1606C2×D4—1181no—
1607C2×D4—1181no—
1608C2×D4—1181no—
1609C2×D4—1181no—
1610C2×D4—1181no—
1611C2×D4—1181no—
1612C2×D4—1181no—
1613C2×D4—1181no—
1614C2×D4—1181no—
1615C2×D4—1181no—
1616C2×D4—1181no—
1617C2×D4—1181no—
1618C2×D4—1181no—
1619C2×D4—4722no—
1620C2×D4—4722no—
1621C2×D4—4722no—
1622C2×D4—2361no—
1623C2×D4—2361no—
1624C2×D4—2364no—
1625C2×D4—2361no—
1626C2×D4—2361no—
1627C2×D4—2361no—
1628C2×D4—2361no—
1629C2×D4—2361no—
1630C2×D4—2361no—
1631C2×D4—2361no—
1632C2×D4—2361no—
1633C2×D4—2361no—
1634C2×D4—2361no—
1635C2×D4—2364no—
1636C2×D4—2364no—
1637C2×D4—2364no—
1638C2×D4—2364no—
1639C2×D4—2364no—
1640C2×D4—2364no—
1641C2×D4—2364no—
1642C2×D4—2364no—
1643C2×D4—2364no—
1644C2×D4—2364no—
1645C2×D4—2364no—
1646C2×D4—2364no—
1647C2×D4—2364no—
1648C2×D4—2364no—
1649C2×D4—2364no—
1650C2×D4—2364no—
1651C2×D4D4×D5911yescharacteristic
1652C2×D4C23×D5911yescharacteristic
1653C2×D4C23×D5911yescharacteristic
1654C2×D4C23×D5911yescharacteristic
1655C2×D4C23×D5911yescharacteristic
1656C2×D4C23×D5911yescharacteristic
1657C22×C4—21no—
1658C22×C4—21no—
1659C22×C4—21no—
1660C22×C4—591no—
1661C22×C4—591no—
1662C22×C4—591no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—591no—
1667C22×C4—591no—
1668C22×C4—591no—
1669C22×C4—591no—
1670C22×C4—591no—
1671C22×C4—1181no—
1672C22×C4—1181no—
1673C22×C4—1181no—
1674C22×C4—1181no—
1675C22×C4—1181no—
1676C22×C4—1181no—
1677C22×C4—1181no—
1678C22×C4—1181no—
1679C22×C4—1181no—
1680C22×C4—2361no—
1681C22×C4—2361no—
1682C22×C4—2361no—
1683C22×C4—2361no—
1684C22×C4—2364no—
1685C22×C4C23×D5911yescharacteristic
1686C22×C4C23×D5911yescharacteristic
1687SD16—22no—
1688SD16—41no—
1689SD16—41no—
1690SD16—1182no—
1691SD16—2361no—
1692SD16—2361no—
1693D8—22no—
1694D8—22no—
1695D8—41no—
1696D8—41no—
1697D8—41no—
1698D8—41no—
1699D8—1182no—
1700D8—1182no—
1701D8—1182no—
1702D8—1182no—
1703D8—2361no—
1704D8—2361no—
1705D8—2361no—
1706D8—2361no—
1707D8—2361no—
1708D8—2361no—
1709D8—2361no—
1710D8—2361no—
1711M16—41no—
1712M16—2361no—
1713M16—2361no—
1714M16—2361no—
1715C2×C8—41no—
1716C2×C8—591no—
1717C2×C8—591no—
1718C2×C8—591no—
1719C2×C8—591no—
1720C2×C8—2361no—
1721C2×C8—2361no—
1722C2×C8—2361no—
1723C2×C8C23×D5911yescharacteristic
1724C2×C8C23×D5911yescharacteristic
1725C2×C8C23×D5911yescharacteristic
1726C2×C8C23×D5911yescharacteristic
1727C4⋊C4—21no—
1728C4⋊C4—591no—
1729C4⋊C4—591no—
1730C4⋊C4—591no—
1731C4⋊C4—591no—
1732C4⋊C4—591no—
1733C4⋊C4—591no—
1734C4⋊C4—591no—
1735C4⋊C4—1181no—
1736C4⋊C4—1181no—
1737C4⋊C4—1181no—
1738C4⋊C4—1181no—
1739C4⋊C4—1181no—
1740C4⋊C4—1181no—
1741C4⋊C4—1181no—
1742C4⋊C4—1181no—
1743C4⋊C4—1181no—
1744C4⋊C4D4×D5911yescharacteristic
1745C4⋊C4C23×D5911yescharacteristic
1746C4⋊C4C23×D5911yescharacteristic
1747C22⋊C4—21no—
1748C22⋊C4—21no—
1749C22⋊C4—21no—
1750C22⋊C4—21no—
1751C22⋊C4—21no—
1752C22⋊C4—21no—
1753C22⋊C4—21no—
1754C22⋊C4—21no—
1755C22⋊C4—591no—
1756C22⋊C4—591no—
1757C22⋊C4—591no—
1758C22⋊C4—591no—
1759C22⋊C4—591no—
1760C22⋊C4—591no—
1761C22⋊C4—1181no—
1762C22⋊C4—1181no—
1763C22⋊C4—1181no—
1764C22⋊C4—1181no—
1765C22⋊C4—1181no—
1766C22⋊C4—1181no—
1767C22⋊C4—1181no—
1768C22⋊C4—1181no—
1769C22⋊C4—1181no—
1770C22⋊C4—1181no—
1771C22⋊C4—1181no—
1772C22⋊C4—1181no—
1773C22⋊C4—1181no—
1774C22⋊C4—1181no—
1775C22⋊C4—1181no—
1776C22⋊C4—1181no—
1777C22⋊C4—1181no—
1778C22⋊C4—1181no—
1779C22⋊C4—1181no—
1780C22⋊C4—1181no—
1781C22⋊C4—1181no—
1782C22⋊C4—1181no—
1783C22⋊C4—1181no—
1784C22⋊C4D4×D5911yescharacteristic
1785C22⋊C4D4×D5911yescharacteristic
1786C42—591no—
1787C42—591no—
1788C42—591no—
1789C42—1181no—
1790C42—1181no—
1791C42—1181no—
1792C42C23×D5911yescharacteristic
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—42no—
1799C23—42no—
1800C23—42no—
1801C23—42no—
1802C23—42no—
1803C23—81no—
1804C23—81no—
1805C23—81no—
1806C23—81no—
1807C23—591no—
1808C23—591no—
1809C23—591no—
1810C23—1182no—
1811C23—1182no—
1812C23—1182no—
1813C23—1184no—
1814C23—1182no—
1815C23—1181no—
1816C23—1181no—
1817C23—1181no—
1818C23—1181no—
1819C23—4721no—
1820C23—4721no—
1821C23—4721no—
1822C23—4721no—
1823C23—4721no—
1824C23—4721no—
1825C23—4721no—
1826C23—4721no—
1827C23—47216no—
1828C23—47216no—
1829C23—2361no—
1830C23—2361no—
1831C23—2362no—
1832C23—2362no—
1833C23—2362no—
1834C23—2362no—
1835C23—2362no—
1836C23—2362no—
1837C23—2362no—
1838C23—2362no—
1839C23—2362no—
1840C23—2362no—
1841C23—2362no—
1842C23—2362no—
1843C23—2362no—
1844C23—2362no—
1845C23—2362no—
1846C23—2362no—
1847C23—2362no—
1848C23—2362no—
1849C23—2362no—
1850C23—2362no—
1851C23—2362no—
1852C23C2×D4×D5911yescharacteristic
1853C23C2×D4×D5911yescharacteristic
1854Q8—21no—
1855Q8—21no—
1856Q8—4721no—
1857D4—22no—
1858D4—21no—
1859D4—21no—
1860D4—21no—
1861D4—21no—
1862D4—21no—
1863D4—21no—
1864D4—21no—
1865D4—21no—
1866D4—21no—
1867D4—42no—
1868D4—42no—
1869D4—42no—
1870D4—42no—
1871D4—42no—
1872D4—81no—
1873D4—81no—
1874D4—81no—
1875D4—81no—
1876D4—594no—
1877D4—592no—
1878D4—1182no—
1879D4—1182no—
1880D4—1184no—
1881D4—1181no—
1882D4—1181no—
1883D4—1181no—
1884D4—1181no—
1885D4—1181no—
1886D4—1181no—
1887D4—1181no—
1888D4—4721no—
1889D4—4721no—
1890D4—4721no—
1891D4—4721no—
1892D4—4721no—
1893D4—4721no—
1894D4—4721no—
1895D4—4721no—
1896D4—4721no—
1897D4—2362no—
1898D4—2362no—
1899D4—2362no—
1900D4—2362no—
1901D4—2362no—
1902D4—2362no—
1903D4—2362no—
1904D4—2362no—
1905D4—2362no—
1906D4—2362no—
1907D4—2362no—
1908D4—2362no—
1909D4—2362no—
1910D4—2362no—
1911D4—2362no—
1912D4—2362no—
1913D4—2362no—
1914D4—2362no—
1915D4—2362no—
1916D4—2362no—
1917D4—2362no—
1918D4—2362no—
1919D4—2362no—
1920D4#1427377212yes—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—42no—
1929C2×C4—81no—
1930C2×C4—81no—
1931C2×C4—591no—
1932C2×C4—591no—
1933C2×C4—591no—
1934C2×C4—591no—
1935C2×C4—591no—
1936C2×C4—1182no—
1937C2×C4—1182no—
1938C2×C4—1181no—
1939C2×C4—1181no—
1940C2×C4—1181no—
1941C2×C4—1181no—
1942C2×C4—1181no—
1943C2×C4—1181no—
1944C2×C4—1181no—
1945C2×C4—1181no—
1946C2×C4—1181no—
1947C2×C4—1181no—
1948C2×C4—4721no—
1949C2×C4—4721no—
1950C2×C4—4721no—
1951C2×C4—4721no—
1952C2×C4—2361no—
1953C2×C4—2361no—
1954C2×C4—2361no—
1955C2×C4—2361no—
1956C2×C4—2362no—
1957C2×C4—2362no—
1958C2×C4—2362no—
1959C2×C4—2362no—
1960C2×C4—2362no—
1961C2×C4—2361no—
1962C2×C4—2361no—
1963C2×C4C2×D4×D5911yescharacteristic
1964C2×C4C2×D4×D5911yescharacteristic
1965C2×C4C2×D4×D5911yescharacteristic
1966C2×C4C2×D4×D5911yescharacteristic
1967C2×C4C24×D5911yescharacteristic
1968C8—21no—
1969C8—21no—
1970C8—21no—
1971C8—21no—
1972C8—1181no—
1973C8—1181no—
1974C8—1181no—
1975C8—1181no—
1976C22—21no—
1977C22—21no—
1978C22—21no—
1979C22—22no—
1980C22—21no—
1981C22—21no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—41no—
1994C22—41no—
1995C22—41no—
1996C22—84no—
1997C22—84no—
1998C22—162no—
1999C22—592no—
2000C22—592no—
2001C22—1181no—
2002C22—1181no—
2003C22—1181no—
2004C22—1181no—
2005C22—1181no—
2006C22—1182no—
2007C22—1181no—
2008C22—1181no—
2009C22—9442no—
2010C22—4724no—
2011C22—4724no—
2012C22—4724no—
2013C22—4724no—
2014C22—4724no—
2015C22—4724no—
2016C22—4724no—
2017C22—4724no—
2018C22—2364no—
2019C22—2364no—
2020C22—2368no—
2021C22—2361no—
2022C22—2361no—
2023C22—2361no—
2024C22—2361no—
2025C22—2361no—
2026C22—2361no—
2027C22—2361no—
2028C22—2361no—
2029C22—2361no—
2030C22—2361no—
2031C22—2361no—
2032C22AGL(1,ℤ/8)×D5912yes—
2033C22C22×D4×D5911yescharacteristic
2034C4—21no—
2035C4—21no—
2036C4—21no—
2037C4—21no—
2038C4—41no—
2039C4—41no—
2040C4—41no—
2041C4—592no—
2042C4—1181no—
2043C4—1181no—
2044C4—1181no—
2045C4—1181no—
2046C4—2361no—
2047C4—2361no—
2048C4—2361no—
2049C4—2361no—
2050C4H(5,𝔽2)×D5911yescharacteristic
2051C4C2×#1427377211yescharacteristic
2052C2—22no—
2053C2—41no—
2054C2—42no—
2055C2—81no—
2056C2—81no—
2057C2—81no—
2058C2—81no—
2059C2—1182no—
2060C2—1182no—
2061C2—4721no—
2062C2—4721no—
2063C2—4721no—
2064C2—2361no—
2065C2—2362no—
2066C2#2143772411yescharacteristic
2067C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
2068C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61591
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21438125C2semidirect
2. D42×D59C2semidirect
3. #21436333C2semidirect
4. #21436331C2semidirect
5. #21436244C2semidirect
6. #21436242C2semidirect
7. #21436239C2semidirect
8. #21436237C2semidirect
9. #21435915C2semidirect
10. #21435913C2semidirect
11. D8×C22⋊D59C2semidirect
12. #21435766C2semidirect
13. #21435710C2semidirect
14. #21435709C2semidirect
15. #21435582C2semidirect
16. #21435577C2semidirect
17. #21435575C2semidirect
18. #21435110C2semidirect
19. #21435013C2semidirect
20. #21434894C2semidirect
21. #21434892C2semidirect
22. #21434862C2semidirect
23. #21434859C2semidirect
24. #21434185C2semidirect
25. #21434142C2semidirect
26. #21433324C2semidirect
27. #21433321C2semidirect
28. C2×#16837534C2semidirect
29. #447×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3264C2semidirect
33. C22×D4×D59C22semidirect
34. C22×D4×D59C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273752C22semidirect
38. C22×#11745669C22semidirect
39. C2×D8×D59C22semidirect
40. C2×D8×D59C22semidirect
41. #16838116C22semidirect
42. #16838110C22semidirect
43. #16838102C22semidirect
44. #16838098C22semidirect
46. #16838071C22semidirect
48. #16838045C22semidirect
50. D4×D236C22semidirect
51. D4×D236C22semidirect
52. #16838037C22semidirect
55. #16838036C22semidirect
58. D4×C22⋊D59C22semidirect
59. D4×C22⋊D59C22semidirect
66. #16837949C22semidirect
67. #127×D59C22semidirect
68. #16837931C22semidirect
69. #16837915C22semidirect
70. #16837909C22semidirect
71. C2×#14273698C22semidirect
73. #121×D59C22semidirect
74. #121×D59C22semidirect
75. #121×D59C22semidirect
80. C4×D4×D59C22semidirect
81. #16837792C22semidirect
82. #16837777C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837747C22semidirect
87. #16837747C22semidirect
88. #16837736C22semidirect
89. #16837728C22semidirect
90. #16837727C22semidirect
91. #16837724C22semidirect
92. #16837723C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837721C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837718C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837691C22semidirect
103. #16837690C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837653C22semidirect
109. #16837652C22semidirect
110. #16837652C22semidirect
111. #16837638C22semidirect
112. #16837637C22semidirect
113. #16837636C22semidirect
114. #16837635C22semidirect
115. #16837634C22semidirect
116. #16837633C22semidirect
117. #16837628C22semidirect
118. #16837614C22semidirect
119. #16837600C22semidirect
120. #16837600C22semidirect
121. #16837598C22semidirect
122. #16837597C22semidirect
123. #16837596C22semidirect
124. #16837595C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837552C22semidirect
129. #16837551C22semidirect
130. #16837551C22semidirect
131. #16837551C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837550C22semidirect
135. #16837547C22semidirect
136. #16837546C22semidirect
137. #16837538C22semidirect
138. #16837538C22semidirect
139. #16837537C22semidirect
140. #16837537C22semidirect
141. #16837537C22semidirect
142. #16837537C22semidirect
143. #16837536C22semidirect
144. #16837536C22semidirect
145. #16837536C22semidirect
146. #16837535C22semidirect
148. #16837534C22semidirect
149. #16837534C22semidirect
150. #16837534C22semidirect
151. #16837534C22semidirect
152. #16837534C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. SD16×Dic59C22semidirect
164. #16837487C22semidirect
165. D8×Dic59C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837405C22semidirect
179. #16837405C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
205. C2×#11745689C23semidirect
242. C2×D4×D59C23semidirect
250. C2×#11745671C23semidirect
251. C2×#11745671C23semidirect
253. C2×D472C23semidirect
254. C2×D472C23semidirect
259. C2×#11745669C23semidirect
260. C2×#11745669C23semidirect
261. C2×#11745669C23semidirect
262. C2×#11745669C23semidirect
263. C2×#11745669C23semidirect
264. C2×#11745669C23semidirect
267. C2×#11745664C23semidirect
268. C2×#11745659C23semidirect
269. C2×#11745659C23semidirect
270. C22×C59⋊C8C23semidirect
271. C2×C8×D59C23semidirect
272. C2×C8×D59C23semidirect
273. #14273726C23semidirect
280. #14273723C23semidirect
284. #14273719C23semidirect
298. #14273703C23semidirect
307. #14273701C23semidirect
308. #14273701C23semidirect
333. #14273698C23semidirect
334. #14273698C23semidirect
335. #14273698C23semidirect
355. Q8×Dic59C23semidirect
358. C4×D236C23semidirect
361. D4×Dic59C23semidirect
380. #14273686C23semidirect
381. #14273685C23semidirect
384. C2×C4⋊Dic59C23semidirect
387. C4⋊C4×D59C23semidirect
397. #14273661C23semidirect
398. #14273660C23semidirect
399. #14273659C23semidirect
400. #14273659C23semidirect
401. #14273658C23semidirect
402. #14273658C23semidirect
403. #14273658C23semidirect
404. C4⋊(C59⋊C8)C23semidirect
405. Dic59⋊C8C23semidirect
406. Dic59⋊C8C23semidirect
407. #14273651C23semidirect
411. #14273649C23semidirect
412. #14273649C23semidirect
413. #14273649C23semidirect
414. #14273649C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
417. #14273649C23semidirect
421. #14273648C23semidirect
422. #14273648C23semidirect
423. #14273648C23semidirect
424. #14273648C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
430. #14273647C23semidirect
431. #14273647C23semidirect
432. #14273647C23semidirect
433. C22⋊(C59⋊C8)C23semidirect
434. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. (C2×D59)⋊C8C23semidirect
443. #14273638C23semidirect
444. C8×Dic59C23semidirect
445. C8×Dic59C23semidirect
446. C2×#41×C59C23semidirect
450. C22×D4×C59C23semidirect
453. C2×SD16×C59C23semidirect
454. C2×SD16×C59C23semidirect
458. C2×D8×C59C23semidirect
459. C2×D8×C59C23semidirect
460. C2×D8×C59C23semidirect
461. C2×D8×C59C23semidirect
462. C2×M16×C59C23semidirect
463. C22×C8×C59C23semidirect
465. #124×C59C23semidirect
467. C22⋊Q8×C59C23semidirect
472. #121×C59C23semidirect
478. C4×D4×C59C23semidirect
480. #106×C59C23semidirect
481. C4⋊C8×C59C23semidirect
482. #103×C59C23semidirect
484. #102×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
487. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C22⋊C8×C59C23semidirect
490. #97×C59C23semidirect
882. C22⋊D59AGL(1,ℤ/8)semidirect
1035. #3264D59semidirect
1072. C2×AGL(1,ℤ/8)C2×D59semidirect
1076. C22×D8C2×D59semidirect
1086. #546C2×D59semidirect
1100. D42C2×D59semidirect
1120. #496C2×D59semidirect
1150. #469C2×D59semidirect
1158. #465C2×D59semidirect
1160. #463C2×D59semidirect
1170. #459C2×D59semidirect
1177. #450C2×D59semidirect
1181. #449C2×D59semidirect
1205. #447C2×D59semidirect
1206. #447C2×D59semidirect
1210. #442C2×D59semidirect
1220. #435C2×D59semidirect
1237. C59#61591semidirect
1242. C2×#41C22×D59semidirect
1282. C22×D4C22×D59semidirect
1294. C2×SD16C22×D59semidirect
1295. C2×SD16C22×D59semidirect
1314. C2×D8C22×D59semidirect
1315. C2×D8C22×D59semidirect
1316. C2×D8C22×D59semidirect
1317. C2×D8C22×D59semidirect
1321. C2×M16C22×D59semidirect
1325. C22×C8C22×D59semidirect
1343. #124C22×D59semidirect
1355. C22⋊Q8C22×D59semidirect
1397. #121C22×D59semidirect
1447. C4×D4C22×D59semidirect
1473. #106C22×D59semidirect
1477. C4⋊C8C22×D59semidirect
1479. #103C22×D59semidirect
1506. #102C22×D59semidirect
1507. #102C22×D59semidirect
1508. #102C22×D59semidirect
1509. #102C22×D59semidirect
1520. C22⋊C8C22×D59semidirect
1521. C22⋊C8C22×D59semidirect
1523. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381252
D42×D592
#214363332
#214363312
#214362442
#214362422
#214362392
#214362372
#214359152
#214359132
D8×C22⋊D592
#214357662
#214357102
#214357092
#214355822
#214355772
#214355752
#214351102
#214350132
#214348942
#214348922
#214348622
#214348592
#214341852
#214341422
#214333242
#214333212
C2×#168375342
#447×D592
#214331262
C59×#32642
#6159159