Finite Group Databasebeta

← #29475940

Subgroups — #29475940

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438460C211yesmaximal, characteristic, complemented
2#21437882C211yesmaximal, characteristic, complemented
3#21436351C211yesmaximal, characteristic, complemented
4#21436302C211yesmaximal, characteristic, complemented
5#21436157C211yesmaximal, characteristic, complemented
6#21436136C211yesmaximal, characteristic, complemented
7#21436082C211yesmaximal, characteristic, complemented
8#21436061C211yesmaximal, characteristic, complemented
9#21436005C211yesmaximal, characteristic, complemented
10#21435946C211yesmaximal, characteristic, complemented
11#21435799C211yesmaximal, characteristic, complemented
12#21435776C211yesmaximal, characteristic, complemented
13#21435726C211yesmaximal, characteristic, complemented
14#21435685C211yesmaximal, characteristic, complemented
15#21435630C211yesmaximal, characteristic, complemented
16#21435595C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435081C211yesmaximal, characteristic, complemented
19#21435056C211yesmaximal, characteristic, complemented
20#21434975C211yesmaximal, characteristic, complemented
21#21434964C211yesmaximal, characteristic, complemented
22#21434959C211yesmaximal, characteristic, complemented
23#21434949C211yesmaximal, characteristic, complemented
24#21434202C211yesmaximal, characteristic, complemented
25#21434152C211yesmaximal, characteristic, complemented
26#21433415C211yesmaximal, characteristic, complemented
27#21433399C211yesmaximal, characteristic, complemented
28#21433381C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433173C211yesmaximal, characteristic, complemented
31C59×#3273C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745670C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic
40#16838142—21no—
41#16838141—21no—
42#16838123C2211yescharacteristic, complemented
43#16838102C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838071C2211yescharacteristic, complemented
46#16838070—21no—
47#16838062C2211yescharacteristic, complemented
48#16838061C2211yescharacteristic, complemented
49#16838060C2211yescharacteristic, complemented
50#16838058C2211yescharacteristic
51#16838052C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic, complemented
55#16838044—21no—
56#16838042—21no—
57#16838042—21no—
58#16838041—21no—
59#16838040C2211yescharacteristic
60#16838039—21no—
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838020—21no—
63#16837990—21no—
64#16837984—21no—
65#16837982C2211yescharacteristic, complemented
66#16837980C2211yescharacteristic
67#16837975C2211yescharacteristic, complemented
68#16837974—21no—
69#16837969C2211yescharacteristic, complemented
70#16837968C2211yescharacteristic
71#16837968C2211yescharacteristic, complemented
72#16837967—21no—
73#16837967—21no—
74#16837949C2211yescharacteristic
75#16837949C2211yescharacteristic, complemented
76#16837947—21no—
77#16837931C2211yescharacteristic, complemented
78C2×#14273713—21no—
79#124×D59C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837657C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837652C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837564C2211yescharacteristic, complemented
129#16837561C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837557C2211yescharacteristic, complemented
132#16837556C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic
143#16837544C2211yescharacteristic
144#16837544C2211yescharacteristic
145#16837544C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837543C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic
159#16837534C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837506C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×#11745670C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837471C2211yescharacteristic, complemented
169#16837471C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837412C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837398C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837370C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C22×Dic118—21no—
221C22×Dic118C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C22×C22⋊D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231#14273759—42no—
232#14273751—42no—
233#14273748—42no—
234#14273747—42no—
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670—42no—
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×#11745669C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251D8×D59—42no—
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C22×C59⋊C8C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273726—21no—
259#14273726D411yescharacteristic
260#14273726C2311yescharacteristic
261#14273723—21no—
262#14273723—21no—
263#14273723—21no—
264#14273723—21no—
265#14273723D411yescharacteristic
266#14273723C2311yescharacteristic
267#14273722—21no—
268#14273722—21no—
269#14273720—21no—
270#14273720—21no—
271#14273720—21no—
272#14273719C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713D411yescharacteristic
289#14273713D411yescharacteristic
290#14273712—21no—
291#14273711—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273708—21no—
300#14273708—21no—
301#14273707C2311yescharacteristic
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273702—21no—
314#14273702D411yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700D411yescharacteristic
331#14273700D411yescharacteristic
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273698—21no—
341#14273698D411yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273696—21no—
353#14273696—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360Q8×Dic59C2311yescharacteristic
361C4×Dic118C2311yescharacteristic
362#14273692—21no—
363#14273692C2311yescharacteristic
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366D4×Dic59—21no—
367D4×Dic59C2311yescharacteristic
368D4×Dic59C2311yescharacteristic
369#14273689—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273686C2311yescharacteristic
382#14273685C2311yescharacteristic
383#14273685C2311yescharacteristic
384#14273683—21no—
385#14273683—21no—
386C2×C4⋊Dic59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C4×C59⋊C8C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450AGL(1,ℤ/8)×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#123×C59—21no—
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—22no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—41no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—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—44no—
541C2×C22⋊D59—44no—
542C2×C22⋊D59—82no—
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C2×C22⋊D59C2×D411yescharacteristic
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556#11745689—41no—
557#11745689—41no—
558Q8×D59—22no—
559Q8×D59—41no—
560Q8×D59—41no—
561Q8×D59—41no—
562#11745687—22no—
563#11745687—22no—
564#11745687—22no—
565#11745687—22no—
566#11745687—41no—
567#11745687—41no—
568#11745687—44no—
569#11745687—44no—
570#11745687—44no—
571#11745687—82no—
572D4×D59—22no—
573D4×D59—41no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—44no—
579#11745685—22no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—41no—
584#11745685—41no—
585#11745685—44no—
586#11745685—82no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236C2×D411yescharacteristic
591C2×D236C2×D411yescharacteristic
592C2×D236C2×D411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—22no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—41no—
612C2×Dic118—44no—
613C2×Dic118C2×D411yescharacteristic
614C2×Dic118C2×D411yescharacteristic
615C2×Dic118C2411yescharacteristic
616C2×Dic118C2411yescharacteristic
617Q16×C59—41no—
618SD16×C59—22no—
619SD16×C59—41no—
620SD16×C59—41no—
621SD16×C59—41no—
622D8×C59—22no—
623D8×C59—22no—
624D8×C59—41no—
625D8×C59—41no—
626M16×C59—41no—
627M16×C59—41no—
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59C2×D411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C42×C59C2411yescharacteristic
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664#11745672—22no—
665#11745672—41no—
666#11745671—41no—
667#11745671—41no—
668#11745670—22no—
669#11745670—22no—
670#11745670—41no—
671#11745670—41no—
672#11745669—22no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—41no—
732#11745660—22no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—42no—
743C23×C59—81no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—81no—
779D4×C59—81no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59H(5,𝔽2)12yes—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59—81no—
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—24no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C2×Dic59—24no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—42no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834C2×Dic59—42no—
835C2×Dic59—81no—
836C2×Dic59—81no—
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842D236—21no—
843D236—21no—
844D236—21no—
845D236—21no—
846D236—41no—
847D236—41no—
848D236—41no—
849D236—81no—
850D236—81no—
851D236—81no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—41no—
859C4×D59—41no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—41no—
870Dic118—41no—
871Dic118—42no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—22no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—162no—
904C22×C59—162no—
905C22×C59C23×D411yescharacteristic
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—21no—
935Dic59—21no—
936Dic59—22no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273D5911yescharacteristic, complemented
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—42no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—81no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59#348411yescharacteristic
983C2×C59#358411yescharacteristic
984C2×C59#358511yescharacteristic
985D59—41no—
986D59—41no—
987D59—41no—
988D59—81no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
995C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—1181no—
1017#546—1181no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546C2×D5911yescharacteristic, complemented
1022#546C2×D5911yescharacteristic, complemented
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—591no—
1038#532—1181no—
1039#529—591no—
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41—591no—
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495C2×D5911yescharacteristic, complemented
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468C2×D5911yescharacteristic, complemented
1074#468C2×D5911yescharacteristic, complemented
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463C2×D5911yescharacteristic, complemented
1092#463C2×D5911yescharacteristic, complemented
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#452C2×D5911yescharacteristic, complemented
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447C2×D5911yescharacteristic
1130#447C2×D5911yescharacteristic, complemented
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8C2×D5911yescharacteristic, complemented
1139#436—591no—
1140#436C2×D5911yescharacteristic, complemented
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—591no—
1184C22×Q8—1181no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194#137—2362no—
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16C22×D5911yescharacteristic
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—2362no—
1222C2×D8C22×D5911yescharacteristic
1223C2×D8C22×D5911yescharacteristic
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16C22×D5911yescharacteristic
1229C2×M16C22×D5911yescharacteristic
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C4⋊Q8—591no—
1235C4⋊Q8—591no—
1236C4⋊Q8—1181no—
1237#127—591no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—591no—
1250#124—591no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124C22×D5911yescharacteristic
1267#124C22×D5911yescharacteristic
1268#123—21no—
1269#123—21no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
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#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—21no—
1335#120—21no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8—1181no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371C4×D4C22×D5911yescharacteristic
1372#117—591no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—591no—
1388C2×C42—1181no—
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107C22×D5911yescharacteristic
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8C22×D5911yescharacteristic
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
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#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97—591no—
1447C4×C8—591no—
1448C4×C8C22×D5911yescharacteristic
1449C24—21no—
1450C24—21no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—22no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—4722no—
1464#41—4722no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2364no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2364no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—1181no—
1483C2×Q8—1181no—
1484C2×Q8—1181no—
1485C2×Q8—1182no—
1486C2×Q8—1181no—
1487C2×Q8—1182no—
1488C2×Q8—2361no—
1489C2×Q8—2364no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8—2361no—
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—22no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—41no—
1503C2×D4—41no—
1504C2×D4—41no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1182no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—4722no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2364no—
1545C2×D4—2364no—
1546C2×D4—2364no—
1547C2×D4D4×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—591no—
1560C22×C4—591no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—41no—
1577Q16—1182no—
1578Q16—2361no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—1182no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—41no—
1601M16—41no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4D4×D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
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—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4D4×D5911yescharacteristic
1686C22⋊C4D4×D5911yescharacteristic
1687C42—591no—
1688C42—591no—
1689C42—591no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—591no—
1708C23—591no—
1709C23—591no—
1710C23—1181no—
1711C23—1181no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—2362no—
1720C23—2362no—
1721C23C2×D4×D5911yescharacteristic
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—592no—
1728Q8—1181no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—2361no—
1732Q8—2361no—
1733Q8—2362no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—42no—
1746D4—42no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—1184no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—2361no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2361no—
1778D4—2361no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377212yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—1184no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—2361no—
1822C2×C4—2361no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4C2×D4×D5911yescharacteristic
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—22no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—162no—
1862C22—162no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—1181no—
1872C22—9442no—
1873C22—9442no—
1874C22—9442no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—1181no—
1891C4—1181no—
1892C4—1181no—
1893C4—1182no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4C2×#1427377211yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—42no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—4721no—
1910C2—4721no—
1911C2—2361no—
1912C2—2361no—
1913C2—2361no—
1914C2#2143772411yescharacteristic
1915C2#2143886911yescharacteristic
1916C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3273C2
socleC22×C59C23×D4
hypercenter#3273D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #21438460C2semidirect
2. #21437882C2semidirect
3. #21436351C2semidirect
4. #21436302C2semidirect
5. #21436157C2semidirect
6. #21436136C2semidirect
7. #21436082C2semidirect
8. #21436061C2semidirect
9. #21436005C2semidirect
10. #21435946C2semidirect
11. #21435799C2semidirect
12. #21435776C2semidirect
13. #21435726C2semidirect
14. #21435685C2semidirect
15. #21435630C2semidirect
16. #21435595C2semidirect
17. #21435570C2semidirect
18. #21435081C2semidirect
19. #21435056C2semidirect
20. #21434975C2semidirect
21. #21434964C2semidirect
22. #21434959C2semidirect
23. #21434949C2semidirect
24. #21434202C2semidirect
25. #21434152C2semidirect
26. #21433415C2semidirect
27. #21433399C2semidirect
28. #21433381C2semidirect
29. #21433359C2semidirect
30. #21433173C2semidirect
31. C59×#3273C2semidirect
32. C2×#14273774C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273759C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745670C22semidirect
42. #16838123C22semidirect
43. #16838102C22semidirect
44. #16838098C22semidirect
45. #16838071C22semidirect
47. #16838062C22semidirect
48. #16838061C22semidirect
49. #16838060C22semidirect
51. #16838052C22semidirect
52. #16838047C22semidirect
53. #16838046C22semidirect
54. #16838045C22semidirect
61. D4×C22⋊D59C22semidirect
65. #16837982C22semidirect
67. #16837975C22semidirect
69. #16837969C22semidirect
71. #16837968C22semidirect
75. #16837949C22semidirect
77. #16837931C22semidirect
79. #124×D59C22semidirect
80. C4×#11745687C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837760C22semidirect
86. #16837757C22semidirect
87. #16837756C22semidirect
88. #16837745C22semidirect
89. #16837742C22semidirect
90. #16837741C22semidirect
91. #16837735C22semidirect
92. #16837733C22semidirect
93. #16837729C22semidirect
94. #16837727C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837710C22semidirect
101. #16837702C22semidirect
102. #16837696C22semidirect
103. #16837690C22semidirect
104. #16837657C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837652C22semidirect
108. #16837648C22semidirect
109. #16837647C22semidirect
110. #16837642C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837635C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837619C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837615C22semidirect
125. #16837614C22semidirect
126. #16837601C22semidirect
127. #16837595C22semidirect
128. #16837564C22semidirect
129. #16837561C22semidirect
130. #16837561C22semidirect
131. #16837557C22semidirect
132. #16837556C22semidirect
133. #16837554C22semidirect
134. #16837551C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837550C22semidirect
138. #16837549C22semidirect
139. #16837548C22semidirect
140. #16837547C22semidirect
141. #16837546C22semidirect
145. #16837544C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837543C22semidirect
149. #16837542C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
159. #16837534C22semidirect
160. #16837514C22semidirect
161. #16837506C22semidirect
162. #16837503C22semidirect
163. #16837499C22semidirect
164. C4×#11745660C22semidirect
165. C4×#11745670C22semidirect
166. C4×#11745669C22semidirect
167. #16837481C22semidirect
168. #16837471C22semidirect
169. #16837471C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. D4×C59⋊C8C22semidirect
173. #16837467C22semidirect
174. #16837458C22semidirect
175. #16837453C22semidirect
176. #16837412C22semidirect
177. #16837405C22semidirect
178. #16837404C22semidirect
179. #16837400C22semidirect
180. #16837398C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. C2×#14273648C22semidirect
184. #16837370C22semidirect
185. #16837370C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#546C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#468C22semidirect
194. C59×#468C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
200. C59×#447C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#436C22semidirect
958. #3273D59semidirect
994. C2×AGL(1,ℤ/8)C2×D59semidirect
995. C2×AGL(1,ℤ/8)C2×D59semidirect
1021. #546C2×D59semidirect
1022. #546C2×D59semidirect
1046. #495C2×D59semidirect
1073. #468C2×D59semidirect
1074. #468C2×D59semidirect
1091. #463C2×D59semidirect
1092. #463C2×D59semidirect
1098. #452C2×D59semidirect
1099. #452C2×D59semidirect
1130. #447C2×D59semidirect
1138. C4×D8C2×D59semidirect
1140. #436C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384602
#214378822
#214363512
#214363022
#214361572
#214361362
#214360822
#214360612
#214360052
#214359462
#214357992
#214357762
#214357262
#214356852
#214356302
#214355952
#214355702
#214350812
#214350562
#214349752
#214349642
#214349592
#214349492
#214342022
#214341522
#214334152
#214333992
#214333812
#214333592
#214331732
C59×#32732
#6169059