Finite Group Databasebeta

← D59×#3310 #29465223

Subgroups — D59×#3310 #29465223

Order 15104.

2578 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D59C211yesmaximal, characteristic, complemented
2D42×D59C211yesmaximal, characteristic
3#21436124C211yesmaximal, characteristic, complemented
4#21436123C211yesmaximal, characteristic, complemented
5#21436122C211yesmaximal, characteristic, complemented
6#21436121C211yesmaximal, characteristic, complemented
7#21436120C211yesmaximal, characteristic, complemented
8#21436119C211yesmaximal, characteristic, complemented
9#21436118C211yesmaximal, characteristic, complemented
10#21436117C211yesmaximal, characteristic, complemented
11#21436116C211yesmaximal, characteristic, complemented
12#21436115C211yesmaximal, characteristic, complemented
13#21436114C211yesmaximal, characteristic, complemented
14#21436113C211yesmaximal, characteristic, complemented
15#21436112C211yesmaximal, characteristic, complemented
16#21436111C211yesmaximal, characteristic, complemented
17#21436110C211yesmaximal, characteristic, complemented
18#490×D59C211yesmaximal, characteristic, complemented
19#482×D59C211yesmaximal, characteristic, complemented
20#480×D59C211yesmaximal, characteristic, complemented
21#478×D59C211yesmaximal, characteristic, complemented
22#468×D59C211yesmaximal, characteristic, complemented
23#465×D59C211yesmaximal, characteristic, complemented
24#460×D59C211yesmaximal, characteristic, complemented
25#450×D59C211yesmaximal, characteristic, complemented
26#450×D59C211yesmaximal, characteristic, complemented
27#440×D59C211yesmaximal, characteristic, complemented
28#435×D59C211yesmaximal, characteristic, complemented
29#418×D59C211yesmaximal, characteristic, complemented
30C2×#102×D59C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D59—21no—
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39C22×C8×D59C2211yescharacteristic, complemented
40#16838094C2211yescharacteristic, complemented
41#16838093C2211yescharacteristic, complemented
42#16838092C2211yescharacteristic, complemented
43#16838091C2211yescharacteristic, complemented
44#16838090C2211yescharacteristic, complemented
45#16838089—21no—
46#16838088—21no—
47#16838087C2211yescharacteristic, complemented
48#16838086C2211yescharacteristic, complemented
49#16838085—21no—
50#16838084—21no—
51D4×D236C2211yescharacteristic
52D4×D236C2211yescharacteristic
53#16838037C2211yescharacteristic
54#16838036—21no—
55#16838036C2211yescharacteristic
56#16838036C2211yescharacteristic
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838034—21no—
62#127×D59C2211yescharacteristic
63#126×D59—21no—
64#125×D59—21no—
65#125×D59C2211yescharacteristic, complemented
66#123×D59—21no—
67C22⋊Q8×D59C2211yescharacteristic, complemented
68C22⋊Q8×D59C2211yescharacteristic, complemented
69#121×D59—21no—
70#121×D59C2211yescharacteristic
71#121×D59C2211yescharacteristic
72#120×D59—21no—
73#120×D59—21no—
74C4×Q8×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic
77#117×D59—21no—
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic, complemented
81#16837767C2211yescharacteristic, complemented
82#16837766C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837729C2211yescharacteristic, complemented
88#16837728C2211yescharacteristic, complemented
89#16837727C2211yescharacteristic, complemented
90#16837726C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837701C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837603C2211yescharacteristic, complemented
123#16837602C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837555C2211yescharacteristic, complemented
130#16837555C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147#16837501C2211yescharacteristic, complemented
148#16837500C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837475C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155#16837471C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#107×D59C2211yescharacteristic, complemented
158#107×D59C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160C4⋊C8×D59C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837407C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#103×D59C2211yescharacteristic, complemented
169C2×#14273649C2211yescharacteristic, complemented
170C2×#14273648C2211yescharacteristic, complemented
171C2×#14273647C2211yescharacteristic, complemented
172#102×D59C2211yescharacteristic
173#102×D59C2211yescharacteristic
174#102×D59C2211yescharacteristic
175#102×D59C2211yescharacteristic, complemented
176#102×D59C2211yescharacteristic, complemented
177#102×D59C2211yescharacteristic, complemented
178#102×D59C2211yescharacteristic, complemented
179#102×D59C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185C22⋊C8×D59C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204C24×D59—21no—
205C2×Q8×D59C2311yescharacteristic
206C22×D236—21no—
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C2×D4×D59—24no—
214C2×D4×D59—24no—
215C2×D4×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—42no—
228C2×D4×D59—42no—
229C2×D4×D59—48no—
230C2×D4×D59D411yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59—21no—
239C22×C4×D59—21no—
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic, complemented
244C2×#11745660C2311yescharacteristic, complemented
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic, complemented
247C2×#11745670C2311yescharacteristic, complemented
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic, complemented
250C2×#11745671C2311yescharacteristic, complemented
251SD16×D59—24no—
252SD16×D59—42no—
253SD16×D59—42no—
254C2×#11745664C2311yescharacteristic, complemented
255C2×#11745659C2311yescharacteristic, complemented
256C2×#11745659C2311yescharacteristic, complemented
257M16×D59—42no—
258C22×C59⋊C8C2311yescharacteristic, complemented
259C2×C8×D59—42no—
260C2×C8×D59C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic, complemented
265C2×C8×D59C2311yescharacteristic, complemented
266#14273724C2311yescharacteristic
267#14273723—21no—
268#14273723—21no—
269#14273723C2311yescharacteristic
270#14273723C2311yescharacteristic
271#14273722—21no—
272#14273722—21no—
273#14273722—21no—
274#14273721—21no—
275#14273720—21no—
276#14273720—21no—
277#14273720—21no—
278#14273719—21no—
279#14273719C2311yescharacteristic, complemented
280#14273718—21no—
281#14273718—21no—
282#14273718C2311yescharacteristic, complemented
283#14273718C2311yescharacteristic, complemented
284#14273717—21no—
285#14273717—21no—
286#14273717—21no—
287#14273717—21no—
288#14273717—21no—
289#14273717—21no—
290#14273712—21no—
291#14273712—21no—
292#14273711—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273708—21no—
297#14273707C2311yescharacteristic, complemented
298#14273707C2311yescharacteristic, complemented
299#14273706C2311yescharacteristic, complemented
300#14273706C2311yescharacteristic, complemented
301#14273705—21no—
302#14273705—21no—
303#14273704—21no—
304#14273704—21no—
305#14273703C2311yescharacteristic, complemented
306#14273703C2311yescharacteristic, complemented
307#14273702—21no—
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
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#14273698—21no—
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273696—21no—
331#14273696—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338Q8×Dic59C2311yescharacteristic, complemented
339C4×Dic118—21no—
340C4×Dic118C2311yescharacteristic, complemented
341#14273692—21no—
342#14273692C2311yescharacteristic, complemented
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345D4×Dic59D411yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689D411yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273686C2311yescharacteristic, complemented
357#14273685—21no—
358#14273685—21no—
359#14273685C2311yescharacteristic, complemented
360#14273685C2311yescharacteristic, complemented
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367C2×C4⋊Dic59C2311yescharacteristic, complemented
368C2×Dic59⋊C4—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59D411yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic, complemented
382C4⋊C4×D59C2311yescharacteristic, complemented
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59D411yescharacteristic
390C22⋊C4×D59D411yescharacteristic
391C42×D59—21no—
392C42×D59—21no—
393C42×D59C2311yescharacteristic
394#14273661C2311yescharacteristic, complemented
395#14273661C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273660C2311yescharacteristic, complemented
398#14273660C2311yescharacteristic, complemented
399#14273660C2311yescharacteristic, complemented
400#14273659C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402#14273658C2311yescharacteristic, complemented
403C4⋊(C59⋊C8)C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405Dic59⋊C8C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273650C2311yescharacteristic, complemented
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
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#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic, complemented
431#14273647C2311yescharacteristic, complemented
432#14273647C2311yescharacteristic, complemented
433#14273647C2311yescharacteristic, complemented
434#14273647C2311yescharacteristic, complemented
435#14273647C2311yescharacteristic, complemented
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437C22⋊(C59⋊C8)C2311yescharacteristic, complemented
438(C2×D59)⋊C8C2311yescharacteristic, complemented
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442#14273638C2311yescharacteristic, complemented
443#14273637C2311yescharacteristic, complemented
444#14273637C2311yescharacteristic, complemented
445C22×D4×C59—21no—
446C22×D4×C59C2311yescharacteristic
447C22×D4×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic, complemented
450C2×SD16×C59C2311yescharacteristic, complemented
451C2×M16×C59C2311yescharacteristic, complemented
452C22×C8×C59C2311yescharacteristic, complemented
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59—21no—
456#125×C59C2311yescharacteristic, complemented
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic, complemented
459C22⋊Q8×C59C2311yescharacteristic, complemented
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464#120×C59—21no—
465C4×Q8×C59C2311yescharacteristic, complemented
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic, complemented
470C2×C4⋊C4×C59C2311yescharacteristic, complemented
471#107×C59C2311yescharacteristic, complemented
472#107×C59C2311yescharacteristic, complemented
473#106×C59C2311yescharacteristic, complemented
474C4⋊C8×C59C2311yescharacteristic, complemented
475#103×C59C2311yescharacteristic, complemented
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic, complemented
480#102×C59C2311yescharacteristic, complemented
481#102×C59C2311yescharacteristic, complemented
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484#102×C59C2311yescharacteristic, complemented
485C22⋊C8×C59C2311yescharacteristic, complemented
486C22⋊C8×C59C2311yescharacteristic, complemented
487#97×C59C2311yescharacteristic, complemented
488C24×C59—21no—
489C24×C59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499C23×D59—44no—
500C23×D59—44no—
501C23×D59—44no—
502C23×D59—44no—
503C23×D59—82no—
504C23×D59—82no—
505C23×D59C2×D411yescharacteristic
506C23×D59C2×D411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—22no—
509C2×D4×C59—22no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—41no—
517C2×D4×C59—41no—
518C2×D4×C59—44no—
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59C2411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—44no—
543C2×C22⋊D59—44no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59—44no—
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59C2×D411yescharacteristic
551C22×Dic59C2×D411yescharacteristic
552Q8×D59—22no—
553Q8×D59—22no—
554D4×D59—24no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—22no—
561D4×D59—22no—
562D4×D59—22no—
563D4×D59—22no—
564D4×D59—41no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—44no—
571D4×D59—44no—
572D4×D59—44no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—44no—
577D4×D59—44no—
578D4×D59—44no—
579D4×D59—82no—
580D4×D59#4114yes—
581C2×D236—22no—
582C2×D236—22no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—44no—
592C2×D236C2×D411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×C4×D59—22no—
597C2×C4×D59—22no—
598C2×C4×D59—22no—
599C2×C4×D59—22no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—44no—
610C2×C4×D59—44no—
611C2×C4×D59C2×D411yescharacteristic
612C2×C4×D59C2×D411yescharacteristic
613C2×C4×D59C2×D411yescharacteristic
614C2×C4×D59C2×D411yescharacteristic
615C2×C4×D59C2×D411yescharacteristic
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×Dic118—21no—
621C2×Dic118C2411yescharacteristic
622SD16×C59—22no—
623SD16×C59—41no—
624SD16×C59—41no—
625M16×C59—41no—
626C2×C8×C59—41no—
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C42×C59—21no—
651C42×C59—21no—
652C42×C59C2411yescharacteristic
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661#11745671—22no—
662#11745671—41no—
663#11745671—41no—
664#11745670—22no—
665#11745670—41no—
666#11745670—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59C2×D411yescharacteristic
690C4⋊Dic59C2411yescharacteristic
691C4⋊Dic59C2411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59C2×D411yescharacteristic
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2411yescharacteristic
721#11745664—41no—
722C2×C59⋊C8—41no—
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727#11745660—22no—
728#11745660—41no—
729#11745660—41no—
730#11745659—41no—
731#11745659—41no—
732C8×D59—22no—
733C8×D59—22no—
734C8×D59—22no—
735C8×D59—22no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—42no—
742C23×C59—42no—
743C23×C59—42no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—22no—
750C22×D59—22no—
751C22×D59—21no—
752C22×D59—22no—
753C22×D59—24no—
754C22×D59—22no—
755C22×D59—22no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—42no—
768C22×D59—42no—
769C22×D59—42no—
770C22×D59—42no—
771C22×D59—42no—
772C22×D59—42no—
773C22×D59—42no—
774C22×D59—42no—
775C22×D59—42no—
776C22×D59—42no—
777C22×D59—42no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59—816no—
783C22×D59—81no—
784C22×D59—81no—
785C22×D59—816no—
786C22×D59AGL(1,ℤ/8)14yes—
787C22×D59C22×D411yescharacteristic
788C22×D59C22×D411yescharacteristic
789C22×D59C22×D411yescharacteristic
790Q8×C59—21no—
791Q8×C59—21no—
792D4×C59—22no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—42no—
799D4×C59—42no—
800D4×C59—42no—
801D4×C59—42no—
802D4×C59—42no—
803D4×C59—81no—
804D4×C59C2×#4112yes—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—42no—
815C2×C4×C59—42no—
816C2×C4×C59C22×D411yescharacteristic
817C2×C4×C59C22×D411yescharacteristic
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C2511yescharacteristic
821C22⋊D59—22no—
822C22⋊D59—22no—
823C22⋊D59—24no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C2×Dic59—22no—
839C2×Dic59—22no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—42no—
846C2×Dic59—42no—
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852D236—22no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—42no—
859D236—42no—
860D236—42no—
861D236—42no—
862D236—42no—
863D236—81no—
864D236C2×#4112yes—
865C4×D59—22no—
866C4×D59—22no—
867C4×D59—22no—
868C4×D59—22no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—21no—
872C4×D59—21no—
873C4×D59—22no—
874C4×D59—22no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—42no—
878C4×D59—42no—
879C4×D59—42no—
880C4×D59—42no—
881C4×D59—42no—
882C4×D59—42no—
883C4×D59—42no—
884C4×D59C2×#4112yes—
885C4×D59H(5,𝔽2)12yes—
886Dic118—21no—
887Dic118—21no—
888Dic118—42no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C8×C59—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896C59⋊C8—21no—
897C2×#3310—591nomaximal, Sylow
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—22no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—84no—
913C22×C59—84no—
914C22×C59C2×AGL(1,ℤ/8)12yes—
915C22×C59C23×D411yescharacteristic
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—28no—
919C2×D59—21no—
920C2×D59—22no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—44no—
926C2×D59—48no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—84no—
934C2×D59—84no—
935C2×D59—84no—
936C2×D59—84no—
937C2×D59—84no—
938C2×D59—84no—
939C2×D59—84no—
940C2×D59—84no—
941C2×D59#54612yes—
942C2×D59C2×AGL(1,ℤ/8)12yes—
943C2×D59C2×AGL(1,ℤ/8)12yes—
944C2×D59#57712yes—
945C4×C59—21no—
946C4×C59—21no—
947C4×C59—21no—
948C4×C59—21no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59—41no—
952C4×C59—41no—
953C4×C59—41no—
954C4×C59C22×#4111yescharacteristic
955C4×C59C2×H(5,𝔽2)11yescharacteristic
956Dic59—21no—
957Dic59—21no—
958Dic59—21no—
959Dic59—21no—
960Dic59—41no—
961Dic59—41no—
962Dic59—41no—
963Dic59—41no—
964Dic59—41no—
965Dic59#54612yes—
966C2×#552—591no—
967C2×D42—591no—
968#3310—591no—
969#3310—591no—
970#3310—591no—
971#3310—591no—
972#3310—591no—
973#3310—591no—
974#3310—591no—
975#3310—591no—
976#3310—591no—
977#3310—591no—
978#3310—591no—
979#3310—591no—
980#3310—591no—
981#3310—591no—
982#3310—591no—
983#3310D5911yescharacteristic, direct product factor
984C2×#490—591no—
985C2×#482—591no—
986C2×#480—591no—
987C2×#478—591no—
988C2×#468—591no—
989C2×#465—591no—
990C2×#460—591no—
991C2×#450—591no—
992C2×#450—591no—
993C2×#440—591no—
994C2×#435—591no—
995C2×#418—591no—
996C22×#102—591no—
997C2×C59—22no—
998C2×C59—41no—
999C2×C59—42no—
1000C2×C59—81no—
1001C2×C59—81no—
1002C2×C59C2×#54611yescharacteristic
1003C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1004C2×C59C2×#57711yescharacteristic
1005D59—22no—
1006D59—41no—
1007D59—42no—
1008D59—81no—
1009D59—81no—
1010D59#331014yesdirect product factor
1011C23×D4—591no—
1012C23×D4—591no—
1013C23×D4—1181no—
1014C22×SD16—591no—
1015C22×SD16—591no—
1016C22×SD16—591no—
1017C22×M16—591no—
1018C23×C8—591no—
1019#552—591no—
1020#552—591no—
1021#552—591no—
1022#552—591no—
1023#552—591no—
1024#552—591no—
1025#552—591no—
1026#552—1181no—
1027#552—1181no—
1028#552—1181no—
1029#552—1181no—
1030#552C2×D5911yescharacteristic, complemented
1031D42—591no—
1032D42—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—591no—
1037D42—591no—
1038D42—1181no—
1039D42—1181no—
1040D42—1181no—
1041D42—1181no—
1042D42C2×D5911yescharacteristic
1043C2×#127—591no—
1044C2×#126—1181no—
1045C2×#125—591no—
1046C2×#125—1181no—
1047C2×#123—1181no—
1048C2×C22⋊Q8—591no—
1049C2×C22⋊Q8—591no—
1050C2×#121—591no—
1051C2×#121—591no—
1052C2×#121—1181no—
1053C2×#120—1181no—
1054C2×#120—1181no—
1055C2×C4×Q8—591no—
1056C2×C4×D4—591no—
1057C2×C4×D4—591no—
1058C2×#117—591no—
1059C2×#117—1181no—
1060C22×C4⋊C4—591no—
1061#490—591no—
1062#490—591no—
1063#490—591no—
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490—591no—
1068#490C2×D5911yescharacteristic, complemented
1069#482—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482—591no—
1076#482C2×D5911yescharacteristic, complemented
1077#480—591no—
1078#480—591no—
1079#480—591no—
1080#480—591no—
1081#480—591no—
1082#480—591no—
1083#480—591no—
1084#480C2×D5911yescharacteristic, complemented
1085#478—591no—
1086#478—591no—
1087#478—591no—
1088#478—591no—
1089#478—591no—
1090#478—591no—
1091#478—591no—
1092#478C2×D5911yescharacteristic, complemented
1093#468—591no—
1094#468—591no—
1095#468—591no—
1096#468—591no—
1097#468—591no—
1098#468—591no—
1099#468—591no—
1100#468C2×D5911yescharacteristic, complemented
1101#465—591no—
1102#465—591no—
1103#465—591no—
1104#465—591no—
1105#465—591no—
1106#465—591no—
1107#465—591no—
1108#465C2×D5911yescharacteristic, complemented
1109#460—591no—
1110#460—591no—
1111#460—591no—
1112#460—591no—
1113#460—591no—
1114#460—591no—
1115#460—591no—
1116#460C2×D5911yescharacteristic, complemented
1117#450—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450—591no—
1125#450—591no—
1126#450—591no—
1127#450—591no—
1128#450—591no—
1129#450—591no—
1130#450—591no—
1131#450C2×D5911yescharacteristic, complemented
1132#450C2×D5911yescharacteristic, complemented
1133#440—591no—
1134#440—591no—
1135#440—591no—
1136#440—591no—
1137#440—591no—
1138#440—591no—
1139#440—591no—
1140#440C2×D5911yescharacteristic, complemented
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146#435—591no—
1147#435—591no—
1148#435C2×D5911yescharacteristic, complemented
1149C2×#107—591no—
1150C2×#107—591no—
1151C2×#106—591no—
1152C2×C4⋊C8—591no—
1153#418—591no—
1154#418—591no—
1155#418—591no—
1156#418—591no—
1157#418—591no—
1158#418—591no—
1159#418—591no—
1160#418C2×D5911yescharacteristic, complemented
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165C2×#102—591no—
1166C2×#102—591no—
1167C2×#102—591no—
1168C2×#102—591no—
1169C2×#102—591no—
1170C2×#102—591no—
1171C2×#102—591no—
1172C2×#102—591no—
1173C2×#102—591no—
1174C2×#102—591no—
1175C2×#102—591no—
1176C2×#102—591no—
1177C2×#102—591no—
1178C2×#102C2×D5911yescharacteristic, complemented
1179C2×C22⋊C8—591no—
1180C2×C22⋊C8—591no—
1181C2×#97—591no—
1182C59C2×#331011yescharacteristic, complemented, Sylow
1183C25—1181no—
1184C25—1181no—
1185C22×Q8—591no—
1186C22×D4—21no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—591no—
1196C22×D4—591no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1184no—
1207C22×D4—1184no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—2362no—
1217C22×D4—2362no—
1218C22×D4—2368no—
1219C22×D4C22×D5911yescharacteristic
1220C22×D4C22×D5911yescharacteristic
1221C23×C4—591no—
1222C23×C4—591no—
1223C23×C4—1181no—
1224C23×C4—1181no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—591no—
1231C2×SD16—591no—
1232C2×SD16—591no—
1233C2×SD16—591no—
1234C2×SD16—1184no—
1235C2×SD16—2362no—
1236C2×SD16—2362no—
1237C2×SD16C22×D5911yescharacteristic
1238C2×SD16C22×D5911yescharacteristic, complemented
1239C2×SD16C22×D5911yescharacteristic, complemented
1240C2×M16—591no—
1241C2×M16—591no—
1242C2×M16—591no—
1243C2×M16—2362no—
1244C2×M16C22×D5911yescharacteristic, complemented
1245C22×C8—591no—
1246C22×C8—591no—
1247C22×C8—591no—
1248C22×C8—591no—
1249C22×C8—591no—
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—2362no—
1253C22×C8C22×D5911yescharacteristic, complemented
1254#127—591no—
1255#127—591no—
1256#127—591no—
1257#127—1181no—
1258#127—1181no—
1259#127C22×D5911yescharacteristic
1260#126—21no—
1261#126—1181no—
1262#126—1181no—
1263#126—1181no—
1264#126—1181no—
1265#126—1181no—
1266#126—1181no—
1267#126—1181no—
1268#125—21no—
1269#125—591no—
1270#125—591no—
1271#125—591no—
1272#125—1181no—
1273#125—1181no—
1274#125—1181no—
1275#125—1181no—
1276#125—1181no—
1277#125—1181no—
1278#125—1181no—
1279#125—1181no—
1280#125—1181no—
1281#125C22×D5911yescharacteristic, complemented
1282#123—21no—
1283#123—1181no—
1284#123—1181no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8C22×D5911yescharacteristic, complemented
1301C22⋊Q8C22×D5911yescharacteristic, complemented
1302#121—21no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121C22×D5911yescharacteristic
1321#121C22×D5911yescharacteristic
1322#120—21no—
1323#120—21no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338C4×Q8—591no—
1339C4×Q8—591no—
1340C4×Q8—591no—
1341C4×Q8—1181no—
1342C4×Q8—1181no—
1343C4×Q8C22×D5911yescharacteristic, complemented
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—21no—
1359#117—591no—
1360#117—591no—
1361#117—591no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366#117—1181no—
1367#117—1181no—
1368#117—1181no—
1369#117—1181no—
1370#117—1181no—
1371#117C22×D5911yescharacteristic, complemented
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—591no—
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—591no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—591no—
1380C2×C4⋊C4—1181no—
1381C2×C4⋊C4—1181no—
1382C2×C4⋊C4—1181no—
1383C2×C4⋊C4—1181no—
1384C2×C4⋊C4—1181no—
1385C2×C4⋊C4—1181no—
1386C2×C4⋊C4—1181no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4C22×D5911yescharacteristic, complemented
1389C2×C22⋊C4—591no—
1390C2×C22⋊C4—591no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397C2×C42—591no—
1398C2×C42—1181no—
1399C2×C42—1181no—
1400#107—591no—
1401#107—591no—
1402#107—591no—
1403#107—591no—
1404#107—591no—
1405#107—591no—
1406#107C22×D5911yescharacteristic, complemented
1407#107C22×D5911yescharacteristic, complemented
1408#106—591no—
1409#106—591no—
1410#106—591no—
1411#106C22×D5911yescharacteristic, complemented
1412C4⋊C8—591no—
1413C4⋊C8—591no—
1414C4⋊C8—591no—
1415C4⋊C8C22×D5911yescharacteristic, complemented
1416#103—591no—
1417#103—591no—
1418#103—591no—
1419#103C22×D5911yescharacteristic, complemented
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450#102C22×D5911yescharacteristic, complemented
1451#102C22×D5911yescharacteristic, complemented
1452#102C22×D5911yescharacteristic, complemented
1453#102C22×D5911yescharacteristic, complemented
1454#102C22×D5911yescharacteristic, complemented
1455#102C22×D5911yescharacteristic, complemented
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8—591no—
1461C22⋊C8—591no—
1462C22⋊C8C22×D5911yescharacteristic, complemented
1463C22⋊C8C22×D5911yescharacteristic, complemented
1464#97—591no—
1465#97—591no—
1466#97—591no—
1467#97C22×D5911yescharacteristic, complemented
1468C24—21no—
1469C24—21no—
1470C24—591no—
1471C24—591no—
1472C24—1181no—
1473C24—1181no—
1474C24—1181no—
1475C24—1181no—
1476C24—1181no—
1477C24—1181no—
1478C24—1181no—
1479C24—1181no—
1480C24—1181no—
1481C24—4722no—
1482C24—4722no—
1483C24—2364no—
1484C24—2364no—
1485C24—2364no—
1486C24—2364no—
1487C2×Q8—591no—
1488C2×Q8—1181no—
1489C2×Q8—1182no—
1490C2×Q8—1182no—
1491C2×Q8C23×D5911yescharacteristic
1492C2×D4—22no—
1493C2×D4—22no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—44no—
1503C2×D4—594no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—1182no—
1511C2×D4—1182no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1182no—
1515C2×D4—1182no—
1516C2×D4—1182no—
1517C2×D4—1182no—
1518C2×D4—1182no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1182no—
1531C2×D4—1182no—
1532C2×D4—1184no—
1533C2×D4—1182no—
1534C2×D4—1182no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—4722no—
1544C2×D4—2361no—
1545C2×D4—2361no—
1546C2×D4—2364no—
1547C2×D4—2361no—
1548C2×D4—2361no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2364no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4—2364no—
1555C2×D4—2364no—
1556C2×D4—2364no—
1557C2×D4—2364no—
1558C2×D4—2364no—
1559C2×D4—2364no—
1560C2×D4—2364no—
1561C2×D4—2364no—
1562C2×D4—2364no—
1563C2×D4—2364no—
1564C2×D4—2364no—
1565C2×D4—2364no—
1566C2×D4D4×D5911yescharacteristic
1567C2×D4C23×D5911yescharacteristic
1568C2×D4C23×D5911yescharacteristic
1569C2×D4C23×D5911yescharacteristic
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—591no—
1573C22×C4—591no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—1182no—
1584C22×C4—1182no—
1585C22×C4—1182no—
1586C22×C4—1182no—
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—2364no—
1599C22×C4—2364no—
1600C22×C4C23×D5911yescharacteristic
1601C22×C4C23×D5911yescharacteristic
1602SD16—22no—
1603SD16—41no—
1604SD16—41no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614M16—41no—
1615M16—2361no—
1616M16—2361no—
1617M16—2361no—
1618C2×C8—41no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—591no—
1623C2×C8—1182no—
1624C2×C8—1182no—
1625C2×C8—1182no—
1626C2×C8—1182no—
1627C2×C8—2361no—
1628C2×C8—2361no—
1629C2×C8—2361no—
1630C2×C8C23×D5911yescharacteristic
1631C2×C8C23×D5911yescharacteristic
1632C2×C8C23×D5911yescharacteristic
1633C2×C8C23×D5911yescharacteristic
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—591no—
1643C4⋊C4—591no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4D4×D5911yescharacteristic
1670C4⋊C4C23×D5911yescharacteristic
1671C4⋊C4C23×D5911yescharacteristic
1672C4⋊C4C23×D5911yescharacteristic
1673C4⋊C4C23×D5911yescharacteristic
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—591no—
1681C22⋊C4—591no—
1682C22⋊C4—591no—
1683C22⋊C4—591no—
1684C22⋊C4—591no—
1685C22⋊C4—591no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4D4×D5911yescharacteristic
1705C22⋊C4D4×D5911yescharacteristic
1706C42—21no—
1707C42—21no—
1708C42—591no—
1709C42—591no—
1710C42—591no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42—1181no—
1717C42C23×D5911yescharacteristic
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—81no—
1726C23—81no—
1727C23—591no—
1728C23—594no—
1729C23—591no—
1730C23—591no—
1731C23—1182no—
1732C23—1182no—
1733C23—1182no—
1734C23—1184no—
1735C23—1182no—
1736C23—1182no—
1737C23—1181no—
1738C23—1181no—
1739C23—1181no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—4721no—
1745C23—4721no—
1746C23—47216no—
1747C23—47216no—
1748C23—2362no—
1749C23—2362no—
1750C23—2362no—
1751C23—2362no—
1752C23—2362no—
1753C23—2362no—
1754C23—2362no—
1755C23—2362no—
1756C23—2362no—
1757C23—2362no—
1758C23—2362no—
1759C23—2362no—
1760C23—2362no—
1761C23—2362no—
1762C23—2362no—
1763C23—2362no—
1764C23—2362no—
1765C23—2362no—
1766C23—2362no—
1767C23—2362no—
1768C23C2×D4×D5911yescharacteristic
1769C23C2×D4×D5911yescharacteristic
1770Q8—21no—
1771Q8—21no—
1772Q8—1181no—
1773Q8—1181no—
1774Q8—2362no—
1775D4—22no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—81no—
1787D4—592no—
1788D4—1182no—
1789D4—1184no—
1790D4—1182no—
1791D4—1182no—
1792D4—1181no—
1793D4—1181no—
1794D4—1181no—
1795D4—1181no—
1796D4—1181no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—2362no—
1801D4—2362no—
1802D4—2362no—
1803D4—2362no—
1804D4—2362no—
1805D4—2362no—
1806D4—2362no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4#41×D5912yes—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—42no—
1828C2×C4—42no—
1829C2×C4—591no—
1830C2×C4—592no—
1831C2×C4—592no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—1182no—
1837C2×C4—1182no—
1838C2×C4—1182no—
1839C2×C4—1182no—
1840C2×C4—1182no—
1841C2×C4—1182no—
1842C2×C4—1182no—
1843C2×C4—1182no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—1181no—
1852C2×C4—1181no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4—2362no—
1860C2×C4—2362no—
1861C2×C4—2362no—
1862C2×C4—2362no—
1863C2×C4—2362no—
1864C2×C4C2×D4×D5911yescharacteristic
1865C2×C4C2×D4×D5911yescharacteristic
1866C2×C4C2×D4×D5911yescharacteristic
1867C2×C4C2×D4×D5911yescharacteristic
1868C2×C4C24×D5911yescharacteristic
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C8—21no—
1873C8—1181no—
1874C8—1181no—
1875C8—1181no—
1876C8—1181no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—22no—
1881C22—21no—
1882C22—21no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—84no—
1892C22—84no—
1893C22—592no—
1894C22—592no—
1895C22—592no—
1896C22—592no—
1897C22—1188no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—1182no—
1902C22—1181no—
1903C22—1181no—
1904C22—4724no—
1905C22—4724no—
1906C22—4724no—
1907C22—4724no—
1908C22—4724no—
1909C22—4724no—
1910C22—4724no—
1911C22—4724no—
1912C22—2364no—
1913C22—2368no—
1914C22—2361no—
1915C22—2361no—
1916C22—2361no—
1917C22—2361no—
1918C22—2361no—
1919C22—2361no—
1920C22—2361no—
1921C22—2361no—
1922C22AGL(1,ℤ/8)×D5912yes—
1923C22C22×D4×D5911yescharacteristic
1924C4—21no—
1925C4—21no—
1926C4—21no—
1927C4—21no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—592no—
1934C4—1181no—
1935C4—1181no—
1936C4—1181no—
1937C4—1181no—
1938C4—2361no—
1939C4—2361no—
1940C4—2361no—
1941C4—2361no—
1942C4—2361no—
1943C4C2×#41×D5911yescharacteristic
1944C4H(5,𝔽2)×D5911yescharacteristic
1945C2—22no—
1946C2—41no—
1947C2—42no—
1948C2—81no—
1949C2—81no—
1950C2—594no—
1951C2—1182no—
1952C2—4721no—
1953C2—4721no—
1954C2—2361no—
1955C2—2362no—
1956C2#546×D5911yescharacteristic
1957C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1958C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
prime radicalD42×D59C2
hypercenter#3310D59
hypocenterC59C2×#3310
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #552×D59C2semidirect
3. #21436124C2semidirect
4. #21436123C2semidirect
5. #21436122C2semidirect
6. #21436121C2semidirect
7. #21436120C2semidirect
8. #21436119C2semidirect
9. #21436118C2semidirect
10. #21436117C2semidirect
11. #21436116C2semidirect
12. #21436115C2semidirect
13. #21436114C2semidirect
14. #21436113C2semidirect
15. #21436112C2semidirect
16. #21436111C2semidirect
17. #21436110C2semidirect
18. #490×D59C2semidirect
19. #482×D59C2semidirect
20. #480×D59C2semidirect
21. #478×D59C2semidirect
22. #468×D59C2semidirect
23. #465×D59C2semidirect
24. #460×D59C2semidirect
25. #450×D59C2semidirect
26. #450×D59C2semidirect
27. #440×D59C2semidirect
28. #435×D59C2semidirect
29. #418×D59C2semidirect
30. C2×#102×D59C2semidirect
31. C59×#3310C2semidirect
36. C2×SD16×D59C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. C22×C8×D59C22semidirect
40. #16838094C22semidirect
41. #16838093C22semidirect
42. #16838092C22semidirect
43. #16838091C22semidirect
44. #16838090C22semidirect
47. #16838087C22semidirect
48. #16838086C22semidirect
65. #125×D59C22semidirect
67. C22⋊Q8×D59C22semidirect
68. C22⋊Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837768C22semidirect
81. #16837767C22semidirect
82. #16837766C22semidirect
83. #16837765C22semidirect
84. #16837765C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837729C22semidirect
88. #16837728C22semidirect
89. #16837727C22semidirect
90. #16837726C22semidirect
91. #16837725C22semidirect
92. #16837724C22semidirect
93. #16837723C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837716C22semidirect
97. #16837715C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837702C22semidirect
105. #16837701C22semidirect
106. #16837700C22semidirect
107. #16837699C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837649C22semidirect
111. #16837648C22semidirect
112. #16837647C22semidirect
113. #16837646C22semidirect
114. #16837645C22semidirect
115. #16837634C22semidirect
116. #16837633C22semidirect
117. #16837632C22semidirect
118. #16837631C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837603C22semidirect
123. #16837602C22semidirect
124. #16837601C22semidirect
125. #16837601C22semidirect
126. #16837600C22semidirect
127. #16837600C22semidirect
128. #16837599C22semidirect
129. #16837555C22semidirect
130. #16837555C22semidirect
131. #16837554C22semidirect
132. #16837554C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837553C22semidirect
136. #16837553C22semidirect
137. #16837552C22semidirect
138. #16837552C22semidirect
139. #16837551C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837505C22semidirect
144. #16837504C22semidirect
145. #16837503C22semidirect
146. #16837502C22semidirect
147. #16837501C22semidirect
148. #16837500C22semidirect
149. #16837499C22semidirect
150. #16837476C22semidirect
151. #16837475C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837472C22semidirect
155. #16837471C22semidirect
156. #16837470C22semidirect
157. #107×D59C22semidirect
158. #107×D59C22semidirect
159. #106×D59C22semidirect
160. C4⋊C8×D59C22semidirect
161. #16837408C22semidirect
162. #16837407C22semidirect
163. #16837406C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #103×D59C22semidirect
169. C2×#14273649C22semidirect
170. C2×#14273648C22semidirect
171. C2×#14273647C22semidirect
175. #102×D59C22semidirect
176. #102×D59C22semidirect
177. #102×D59C22semidirect
178. #102×D59C22semidirect
179. #102×D59C22semidirect
180. #102×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. C22⋊C8×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #97×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
243. C2×#11745660C23semidirect
244. C2×#11745660C23semidirect
246. C2×#11745670C23semidirect
247. C2×#11745670C23semidirect
249. C2×#11745671C23semidirect
250. C2×#11745671C23semidirect
254. C2×#11745664C23semidirect
255. C2×#11745659C23semidirect
256. C2×#11745659C23semidirect
258. C22×C59⋊C8C23semidirect
264. C2×C8×D59C23semidirect
265. C2×C8×D59C23semidirect
279. #14273719C23semidirect
282. #14273718C23semidirect
283. #14273718C23semidirect
297. #14273707C23semidirect
298. #14273707C23semidirect
299. #14273706C23semidirect
300. #14273706C23semidirect
305. #14273703C23semidirect
306. #14273703C23semidirect
338. Q8×Dic59C23semidirect
340. C4×Dic118C23semidirect
342. #14273692C23semidirect
356. #14273686C23semidirect
359. #14273685C23semidirect
360. #14273685C23semidirect
367. C2×C4⋊Dic59C23semidirect
381. C4⋊C4×D59C23semidirect
382. C4⋊C4×D59C23semidirect
394. #14273661C23semidirect
395. #14273661C23semidirect
396. #14273660C23semidirect
397. #14273660C23semidirect
398. #14273660C23semidirect
399. #14273660C23semidirect
400. #14273659C23semidirect
401. #14273658C23semidirect
402. #14273658C23semidirect
403. C4⋊(C59⋊C8)C23semidirect
404. Dic59⋊C8C23semidirect
405. Dic59⋊C8C23semidirect
406. #14273652C23semidirect
407. #14273651C23semidirect
408. #14273650C23semidirect
412. #14273649C23semidirect
413. #14273649C23semidirect
414. #14273649C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
417. #14273649C23semidirect
421. #14273648C23semidirect
422. #14273648C23semidirect
423. #14273648C23semidirect
424. #14273648C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
430. #14273647C23semidirect
431. #14273647C23semidirect
432. #14273647C23semidirect
433. #14273647C23semidirect
434. #14273647C23semidirect
435. #14273647C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
437. C22⋊(C59⋊C8)C23semidirect
438. (C2×D59)⋊C8C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. #14273638C23semidirect
443. #14273637C23semidirect
444. #14273637C23semidirect
449. C2×SD16×C59C23semidirect
450. C2×SD16×C59C23semidirect
451. C2×M16×C59C23semidirect
452. C22×C8×C59C23semidirect
456. #125×C59C23semidirect
458. C22⋊Q8×C59C23semidirect
459. C22⋊Q8×C59C23semidirect
465. C4×Q8×C59C23semidirect
469. #117×C59C23semidirect
470. C2×C4⋊C4×C59C23semidirect
471. #107×C59C23semidirect
472. #107×C59C23semidirect
473. #106×C59C23semidirect
474. C4⋊C8×C59C23semidirect
475. #103×C59C23semidirect
479. #102×C59C23semidirect
480. #102×C59C23semidirect
481. #102×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
484. #102×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. C22⋊C8×C59C23semidirect
487. #97×C59C23semidirect
983. #3310D59direct (N × H)
1010. D59#3310direct (N × H)
1030. #552C2×D59semidirect
1068. #490C2×D59semidirect
1076. #482C2×D59semidirect
1084. #480C2×D59semidirect
1092. #478C2×D59semidirect
1100. #468C2×D59semidirect
1108. #465C2×D59semidirect
1116. #460C2×D59semidirect
1131. #450C2×D59semidirect
1132. #450C2×D59semidirect
1140. #440C2×D59semidirect
1148. #435C2×D59semidirect
1160. #418C2×D59semidirect
1178. C2×#102C2×D59semidirect
1182. C59C2×#3310semidirect
1238. C2×SD16C22×D59semidirect
1239. C2×SD16C22×D59semidirect
1244. C2×M16C22×D59semidirect
1253. C22×C8C22×D59semidirect
1281. #125C22×D59semidirect
1300. C22⋊Q8C22×D59semidirect
1301. C22⋊Q8C22×D59semidirect
1343. C4×Q8C22×D59semidirect
1371. #117C22×D59semidirect
1388. C2×C4⋊C4C22×D59semidirect
1406. #107C22×D59semidirect
1407. #107C22×D59semidirect
1411. #106C22×D59semidirect
1415. C4⋊C8C22×D59semidirect
1419. #103C22×D59semidirect
1450. #102C22×D59semidirect
1451. #102C22×D59semidirect
1452. #102C22×D59semidirect
1453. #102C22×D59semidirect
1454. #102C22×D59semidirect
1455. #102C22×D59semidirect
1462. C22⋊C8C22×D59semidirect
1463. C22⋊C8C22×D59semidirect
1467. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#552×D592
D42×D592
#214361242
#214361232
#214361222
#214361212
#214361202
#214361192
#214361182
#214361172
#214361162
#214361152
#214361142
#214361132
#214361122
#214361112
#214361102
#490×D592
#482×D592
#480×D592
#478×D592
#468×D592
#465×D592
#460×D592
#450×D592
#440×D592
#435×D592
#418×D592
C2×#102×D592
C59×#33102
C2×#331059