Finite Group Databasebeta

← #29475741

Subgroups — #29475741

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438505C211yesmaximal, characteristic, complemented
2#21437855C211yesmaximal, characteristic
3#21436323C211yesmaximal, characteristic, complemented
4#21436320C211yesmaximal, characteristic, complemented
5#21436136C211yesmaximal, characteristic, complemented
6#21436133C211yesmaximal, characteristic, complemented
7#21436128C211yesmaximal, characteristic, complemented
8#21436125C211yesmaximal, characteristic, complemented
9#21436009C211yesmaximal, characteristic, complemented
10#21436006C211yesmaximal, characteristic, complemented
11#21435790C211yesmaximal, characteristic, complemented
12SD16×C22⋊D59C211yesmaximal, characteristic, complemented
13#21435740C211yesmaximal, characteristic, complemented
14#21435736C211yesmaximal, characteristic, complemented
15#21435610C211yesmaximal, characteristic, complemented
16#21435606C211yesmaximal, characteristic, complemented
17#21435604C211yesmaximal, characteristic, complemented
18#21435600C211yesmaximal, characteristic, complemented
19#21435104C211yesmaximal, characteristic, complemented
20#21435050C211yesmaximal, characteristic, complemented
21#21434980C211yesmaximal, characteristic, complemented
22#21434978C211yesmaximal, characteristic, complemented
23#21434977C211yesmaximal, characteristic, complemented
24#21434975C211yesmaximal, characteristic, complemented
25#21434190C211yesmaximal, characteristic, complemented
26#21434099C211yesmaximal, characteristic, complemented
27#21433373C211yesmaximal, characteristic, complemented
28#21433368C211yesmaximal, characteristic, complemented
29#21433368C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3009C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273757C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C22×#11745670C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39#16838155—21no—
40#16838151—21no—
41#16838136—21no—
42#16838132—21no—
43#16838123C2211yescharacteristic, complemented
44#16838123C2211yescharacteristic, complemented
45#16838120C2211yescharacteristic, complemented
46#16838120C2211yescharacteristic, complemented
47Q8×C22⋊D59C2211yescharacteristic, complemented
48Q8×C22⋊D59C2211yescharacteristic, complemented
49#16838065C2211yescharacteristic, complemented
50#16838065C2211yescharacteristic, complemented
51#16838051—21no—
52#16838051C2211yescharacteristic
53#16838051C2211yescharacteristic
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic
57#16838040—21no—
58#16838040C2211yescharacteristic
59#16838040C2211yescharacteristic
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838020—21no—
64#16838020—21no—
65#16838016—21no—
66#16838016—21no—
67#16837980C2211yescharacteristic
68#16837980C2211yescharacteristic
69#16837975C2211yescharacteristic, complemented
70#16837975C2211yescharacteristic, complemented
71#16837973C2211yescharacteristic, complemented
72#16837961—21no—
73#16837961—21no—
74#16837954C2211yescharacteristic, complemented
75#16837954C2211yescharacteristic, complemented
76#16837948C2211yescharacteristic
77#16837948C2211yescharacteristic
78C2×#14273699—21no—
79C2×#14273699—21no—
80C2×D4×Dic59C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837780C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837733C2211yescharacteristic, complemented
96#16837730C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic, complemented
99#16837725C2211yescharacteristic, complemented
100#16837724C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837658C2211yescharacteristic, complemented
108#16837657C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837640C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837611C2211yescharacteristic, complemented
126#16837610C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837605C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837565C2211yescharacteristic, complemented
136#16837565C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837564C2211yescharacteristic, complemented
139#16837564C2211yescharacteristic, complemented
140#16837564C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837560C2211yescharacteristic, complemented
146#16837558C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic, complemented
151#16837553C2211yescharacteristic
152#16837553C2211yescharacteristic
153#16837553C2211yescharacteristic, complemented
154#16837553C2211yescharacteristic, complemented
155#16837551C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic, complemented
157#16837543C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837539C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic
189C2×#137×C59C2211yescharacteristic, complemented
190C22×SD16×C59C2211yescharacteristic, complemented
191C59×#536C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic, complemented
193C59×#452C2211yescharacteristic, complemented
194C59×#452C2211yescharacteristic, complemented
195C59×#452C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687C2311yescharacteristic
209C2×#11745687C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C2×Q8×D59C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59C2311yescharacteristic
219C2×D4×D59C2311yescharacteristic
220C23×Dic59—21no—
221#14273757—42no—
222#14273756—42no—
223#14273756—42no—
224C2×Dic236C2311yescharacteristic
225C2×Dic236C2311yescharacteristic
226C2×#11745672C2311yescharacteristic
227C2×#11745672C2311yescharacteristic
228C2×#11745672C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670—42no—
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241SD16×D59—42no—
242SD16×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273726—21no—
250#14273726—21no—
251#14273726—21no—
252#14273726—21no—
253#14273726C2311yescharacteristic
254#14273726C2311yescharacteristic
255#14273725—21no—
256#14273725—21no—
257#14273725—21no—
258#14273725D411yescharacteristic
259#14273725C2311yescharacteristic
260#14273725C2311yescharacteristic
261#14273725C2311yescharacteristic
262#14273723D411yescharacteristic
263#14273723C2311yescharacteristic
264#14273722—21no—
265#14273722—21no—
266#14273721—21no—
267#14273721—21no—
268#14273720—21no—
269#14273720—21no—
270#14273720—21no—
271#14273720—21no—
272#14273717—21no—
273#14273717—21no—
274#14273716D411yescharacteristic
275#14273716C2311yescharacteristic
276#14273714—21no—
277#14273714D411yescharacteristic
278#14273714C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273712—21no—
286#14273712—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273708—21no—
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273706—21no—
302#14273706—21no—
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273706C2311yescharacteristic
310#14273705—21no—
311#14273705—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273703—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273701—21no—
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
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#14273699D411yescharacteristic
341#14273699D411yescharacteristic
342#14273699D411yescharacteristic
343#14273699D411yescharacteristic
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273696—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355Q8×Dic59C2311yescharacteristic
356Q8×Dic59C2311yescharacteristic
357C4×Dic118—21no—
358C4×Dic118—21no—
359#14273692—21no—
360#14273692—21no—
361#14273692—21no—
362#14273692—21no—
363#14273692C2311yescharacteristic
364#14273692C2311yescharacteristic
365D4×Dic59—21no—
366D4×Dic59—21no—
367D4×Dic59C2311yescharacteristic
368D4×Dic59C2311yescharacteristic
369D4×Dic59C2311yescharacteristic
370D4×Dic59C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
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
387C2×Dic59⋊C4—21no—
388C2×Dic59⋊C4—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443H(5,𝔽2)×C59—42no—
444H(5,𝔽2)×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C22×Q8×C59C2311yescharacteristic
451C22×D4×C59—21no—
452C22×D4×C59—21no—
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457#137×C59—42no—
458C2×Q16×C59C2311yescharacteristic
459C2×Q16×C59C2311yescharacteristic
460C2×SD16×C59—42no—
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×SD16×C59C2311yescharacteristic
466C2×SD16×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C4⋊Q8×C59—21no—
470#124×C59—21no—
471#123×C59—21no—
472#123×C59—21no—
473C22⋊Q8×C59C2311yescharacteristic
474C22⋊Q8×C59C2311yescharacteristic
475C22⋊Q8×C59C2311yescharacteristic
476C22⋊Q8×C59C2311yescharacteristic
477#117×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—44no—
504C2×Q8×C59—21no—
505C2×Q8×C59—41no—
506C2×Q8×C59—41no—
507C2×Q8×C59C2×D411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—22no—
512C2×D4×C59—22no—
513C2×D4×C59—22no—
514C2×D4×C59—22no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—41no—
522C2×D4×C59—41no—
523C2×D4×C59—44no—
524C2×D4×C59—44no—
525C2×D4×C59—44no—
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59C2411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—44no—
551C2×C22⋊D59—44no—
552C2×C22⋊D59—82no—
553C2×C22⋊D59—82no—
554C2×C22⋊D59C2×D411yescharacteristic
555C2×C22⋊D59C2×D411yescharacteristic
556C2×C22⋊D59C2×D411yescharacteristic
557C2×C22⋊D59C2×D411yescharacteristic
558C2×C22⋊D59C2×D411yescharacteristic
559C2×C22⋊D59C2×D411yescharacteristic
560C22×Dic59—21no—
561C22×Dic59—21no—
562C22×Dic59—21no—
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568C22×Dic59—82no—
569C22×Dic59C2×D411yescharacteristic
570C22×Dic59C2×D411yescharacteristic
571Q8×D59—41no—
572Q8×D59—41no—
573Q8×D59—41no—
574Q8×D59—41no—
575#11745687—22no—
576#11745687—22no—
577#11745687—41no—
578#11745687—41no—
579#11745687—44no—
580D4×D59—22no—
581D4×D59—22no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—44no—
585#11745685—41no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589C2×D236C2×D411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59C2411yescharacteristic
595C2×C4×D59C2411yescharacteristic
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—41no—
602C2×Dic118—41no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—41no—
608Q16×C59—41no—
609SD16×C59—22no—
610SD16×C59—22no—
611SD16×C59—22no—
612SD16×C59—22no—
613SD16×C59—41no—
614SD16×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C42×C59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59C2×D411yescharacteristic
649C22⋊Dic59C2×D411yescharacteristic
650C22⋊Dic59C2×D411yescharacteristic
651C22⋊Dic59C2×D411yescharacteristic
652#11745672—41no—
653#11745672—41no—
654#11745672—41no—
655#11745672—41no—
656#11745671—41no—
657#11745671—41no—
658#11745670—22no—
659#11745670—22no—
660#11745670—22no—
661#11745670—22no—
662#11745670—41no—
663#11745670—41no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2×D411yescharacteristic
722C4×Dic59C2411yescharacteristic
723C4×Dic59C2411yescharacteristic
724#11745664—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730Dic236—41no—
731Dic236—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—24no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—42no—
743C23×C59—42no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—21no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—41no—
769Q8×C59—81no—
770D4×C59—24no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—41no—
777D4×C59—41no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59H(5,𝔽2)12yes—
784D4×C59H(5,𝔽2)12yes—
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—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—42no—
798C2×C4×C59—42no—
799C2×C4×C59—81no—
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—22no—
805C22⋊D59—22no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C2×Dic59—22no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—41no—
830C2×Dic59—42no—
831C2×Dic59—42no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834C2×Dic59—81no—
835C2×Dic59—81no—
836C2×Dic59—81no—
837C2×Dic59—81no—
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844D236—21no—
845D236—21no—
846D236—41no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—42no—
852C4×D59—81no—
853C4×D59—81no—
854Dic118—21no—
855Dic118—21no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—21no—
860Dic118—41no—
861Dic118—42no—
862Dic118—42no—
863Dic118—81no—
864Dic118—81no—
865Dic118—81no—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61680—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—22no—
879C22×C59—22no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—84no—
894C22×C59—162no—
895C22×C59—162no—
896C22×C59C23×D411yescharacteristic
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59C2×H(5,𝔽2)11yescharacteristic
917C4×C59C2×H(5,𝔽2)11yescharacteristic
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—41no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#57712yes—
931#3550—591no—
932#3496—591no—
933#3324—591no—
934#3324—591no—
935#3311—591no—
936#3311—591no—
937#3311—591no—
938#3311—591no—
939#3302—591no—
940#3302—591no—
941D4×SD16—591no—
942D4×SD16—591no—
943#3276—591no—
944#3276—591no—
945#3266—591no—
946#3266—591no—
947#3266—591no—
948#3266—591no—
949#3216—591no—
950#3210—591no—
951#3201—591no—
952#3201—591no—
953#3201—591no—
954#3201—591no—
955#3110—591no—
956#3101—591no—
957#3009—591no—
958#3009—591no—
959#3009—591no—
960#3009D5911yescharacteristic, complemented
961#2981—591no—
962C2×C59—42no—
963C2×C59—42no—
964C2×C59—41no—
965C2×C59—41no—
966C2×C59—41no—
967C2×C59—81no—
968C2×C59#348411yescharacteristic
969C2×C59C2×#57711yescharacteristic
970C2×C59#358611yescharacteristic
971D59—41no—
972D59—41no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C2×H(5,𝔽2)C2×D5911yescharacteristic
976C2×#137—591no—
977C2×#137—591no—
978C2×#137—591no—
979C2×#137C2×D5911yescharacteristic, complemented
980C22×SD16—591no—
981C22×SD16—591no—
982C22×SD16—591no—
983C22×SD16C2×D5911yescharacteristic, complemented
984#563—1181no—
985#563—1181no—
986#559—1181no—
987Q82—1181no—
988#556—591no—
989#556—591no—
990#556—591no—
991#556—591no—
992D4×Q8—591no—
993D4×Q8—591no—
994D4×Q8—591no—
995D4×Q8—591no—
996#547—591no—
997#547—591no—
998#547—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—591no—
1003#546—1181no—
1004#546—1181no—
1005D42—591no—
1006D42—591no—
1007D42—1181no—
1008#542—1181no—
1009#542—1181no—
1010#542—1181no—
1011#542—1181no—
1012#537—591no—
1013#537—591no—
1014#536—591no—
1015#536—591no—
1016#536—591no—
1017#536C2×D5911yescharacteristic, complemented
1018#534—1181no—
1019#534—1181no—
1020#533—591no—
1021#533—591no—
1022#532—591no—
1023#532—591no—
1024C2×#121—1181no—
1025C2×#121—1181no—
1026C2×C4×D4—591no—
1027#497—591no—
1028#497—591no—
1029#494—591no—
1030#492—591no—
1031#489—591no—
1032#489—591no—
1033#487—591no—
1034#486—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#484—591no—
1040#484—591no—
1041#483—591no—
1042#483—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#476—591no—
1048#476—591no—
1049#474—591no—
1050#474—591no—
1051#470—591no—
1052#470—591no—
1053#470—591no—
1054#470—591no—
1055#468—591no—
1056#468—591no—
1057#468—591no—
1058#468—591no—
1059#467—591no—
1060#467—591no—
1061#467—591no—
1062#467—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#464—591no—
1068#464—591no—
1069#464—591no—
1070#464—591no—
1071#462—591no—
1072#462—591no—
1073#461—591no—
1074#461—591no—
1075#461—591no—
1076#461—591no—
1077#460—591no—
1078#460—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452C2×D5911yescharacteristic, complemented
1092#452C2×D5911yescharacteristic, complemented
1093#452C2×D5911yescharacteristic, complemented
1094#452C2×D5911yescharacteristic, complemented
1095#451—591no—
1096#451—591no—
1097#451—591no—
1098#451—591no—
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450C2×D5911yescharacteristic
1108#450C2×D5911yescharacteristic
1109#450C2×D5911yescharacteristic, complemented
1110#450C2×D5911yescharacteristic, complemented
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448—591no—
1115#440—591no—
1116#440—591no—
1117#440—591no—
1118#440—591no—
1119C4×SD16—591no—
1120C4×SD16—591no—
1121C4×SD16—591no—
1122C4×SD16—591no—
1123#436—591no—
1124#436—591no—
1125#435—591no—
1126#435—591no—
1127#435—591no—
1128#435—591no—
1129C8×D4—591no—
1130C8×D4—591no—
1131#432—591no—
1132#431—591no—
1133#418—591no—
1134#418—591no—
1135#418—591no—
1136#418C2×D5911yescharacteristic, complemented
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140#416C2×D5911yescharacteristic, complemented
1141#408—591no—
1142#408—591no—
1143#408—591no—
1144#408C2×D5911yescharacteristic, complemented
1145C59#6168011yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—42no—
1147H(5,𝔽2)—42no—
1148H(5,𝔽2)—2362no—
1149H(5,𝔽2)—2362no—
1150C2×#41—21no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—1181no—
1156C2×#41C22×D5911yescharacteristic
1157C2×#41C22×D5911yescharacteristic
1158C2×#41C22×D5911yescharacteristic
1159C2×#41C22×D5911yescharacteristic
1160C22×Q8—591no—
1161C22×Q8—591no—
1162C22×Q8—591no—
1163C22×Q8C22×D5911yescharacteristic
1164C22×D4—21no—
1165C22×D4—21no—
1166C22×D4—21no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4C22×D5911yescharacteristic
1175C22×D4C22×D5911yescharacteristic
1176C22×D4C22×D5911yescharacteristic
1177C23×C4—1181no—
1178#137—42no—
1179#137—2362no—
1180#137—2362no—
1181#137—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16—591no—
1188C2×Q16C22×D5911yescharacteristic
1189C2×Q16C22×D5911yescharacteristic
1190C2×SD16—42no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—2362no—
1202C2×SD16—2362no—
1203C2×SD16—2362no—
1204C2×SD16C22×D5911yescharacteristic
1205C2×SD16C22×D5911yescharacteristic
1206C2×SD16C22×D5911yescharacteristic
1207C2×SD16C22×D5911yescharacteristic
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16—591no—
1213C2×M16C22×D5911yescharacteristic
1214C22×C8—591no—
1215C22×C8—591no—
1216C22×C8—591no—
1217C22×C8C22×D5911yescharacteristic
1218C4⋊Q8—21no—
1219C4⋊Q8—591no—
1220C4⋊Q8—591no—
1221C4⋊Q8—591no—
1222C4⋊Q8—591no—
1223C4⋊Q8—591no—
1224C4⋊Q8—591no—
1225C4⋊Q8—1181no—
1226C4⋊Q8—1181no—
1227C4⋊Q8—1181no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230C4⋊Q8—1181no—
1231C4⋊Q8—1181no—
1232#127—591no—
1233#127—591no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#126—1181no—
1242#125—1181no—
1243#125—1181no—
1244#124—21no—
1245#124—591no—
1246#124—591no—
1247#124—591no—
1248#124—591no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#123—21no—
1257#123—21no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8C22×D5911yescharacteristic
1297C22⋊Q8C22×D5911yescharacteristic
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
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—1181no—
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#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—591no—
1335C4×Q8—591no—
1336C4×Q8—1181no—
1337C4×Q8—1181no—
1338C4×Q8—1181no—
1339C4×Q8—1181no—
1340C4×Q8—1181no—
1341C4×Q8—1181no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117C22×D5911yescharacteristic
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C42—591no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#106—591no—
1378#106—591no—
1379#106—591no—
1380#106—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97—591no—
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—21no—
1434C24—21no—
1435C24—21no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—44no—
1447#41—1182no—
1448#41—1182no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2364no—
1456C2×Q8—21no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—591no—
1463C2×Q8—1181no—
1464C2×Q8—1181no—
1465C2×Q8—1181no—
1466C2×Q8—1181no—
1467C2×Q8—1181no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8—2361no—
1473C2×Q8—2361no—
1474C2×Q8D4×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×Q8C23×D5911yescharacteristic
1477C2×Q8C23×D5911yescharacteristic
1478C2×D4—22no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—22no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—44no—
1491C2×D4—44no—
1492C2×D4—44no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1182no—
1506C2×D4—1182no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—4722no—
1515C2×D4—4722no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4D4×D5911yescharacteristic
1522C2×D4D4×D5911yescharacteristic
1523C2×D4D4×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—4722no—
1547C22×C4C23×D5911yescharacteristic
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—2361no—
1553Q16—2361no—
1554Q16—2361no—
1555Q16—2361no—
1556Q16—2361no—
1557Q16—2361no—
1558SD16—22no—
1559SD16—22no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—1182no—
1565SD16—1182no—
1566SD16—1182no—
1567SD16—1182no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572SD16—2361no—
1573SD16—2361no—
1574M16—41no—
1575M16—2361no—
1576M16—2361no—
1577M16—2361no—
1578C2×C8—41no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4C23×D5911yescharacteristic
1628C4⋊C4C23×D5911yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
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—
1669C42—21no—
1670C42—591no—
1671C42—591no—
1672C42—591no—
1673C42—591no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42—1181no—
1679C42—1181no—
1680C42—1181no—
1681C23—24no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—42no—
1686C23—42no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—81no—
1692C23—81no—
1693C23—591no—
1694C23—591no—
1695C23—1181no—
1696C23—4721no—
1697C23—4721no—
1698C23—4721no—
1699C23—4721no—
1700C23—2362no—
1701C23—2362no—
1702C23C2×D4×D5911yescharacteristic
1703C23C2×D4×D5911yescharacteristic
1704C23C2×D4×D5911yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—41no—
1712Q8—81no—
1713Q8—1181no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—4721no—
1720Q8—4721no—
1721Q8—4721no—
1722Q8—2361no—
1723Q8—2362no—
1724Q8—2362no—
1725D4—24no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—1182no—
1739D4—1182no—
1740D4—1181no—
1741D4—1181no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—2361no—
1748D4—2362no—
1749D4—2361no—
1750D4—2361no—
1751D4—2361no—
1752D4—2361no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4#1427377212yes—
1759D4#1427377212yes—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—81no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—1182no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2361no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—84no—
1836C22—162no—
1837C22—162no—
1838C22—1181no—
1839C22—1181no—
1840C22—1181no—
1841C22—1181no—
1842C22—1181no—
1843C22—1181no—
1844C22—9442no—
1845C22—9442no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—592no—
1859C4—1181no—
1860C4—1181no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—2361no—
1865C4—2361no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4C2×#1427377211yescharacteristic
1872C4C2×#1427377211yescharacteristic
1873C2—41no—
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—42no—
1878C2—81no—
1879C2—4721no—
1880C2—2361no—
1881C2—2361no—
1882C2#2143772511yescharacteristic
1883C2#577×D5911yescharacteristic
1884C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3009C2
socleC22×C59C23×D4
prime radical#21437855C2
hypercenter#3009D59
hypocenterC59#61680
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3009

Complements

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

NH ≅ G/Ntype
1. #21438505C2semidirect
3. #21436323C2semidirect
4. #21436320C2semidirect
5. #21436136C2semidirect
6. #21436133C2semidirect
7. #21436128C2semidirect
8. #21436125C2semidirect
9. #21436009C2semidirect
10. #21436006C2semidirect
11. #21435790C2semidirect
12. SD16×C22⋊D59C2semidirect
13. #21435740C2semidirect
14. #21435736C2semidirect
15. #21435610C2semidirect
16. #21435606C2semidirect
17. #21435604C2semidirect
18. #21435600C2semidirect
19. #21435104C2semidirect
20. #21435050C2semidirect
21. #21434980C2semidirect
22. #21434978C2semidirect
23. #21434977C2semidirect
24. #21434975C2semidirect
25. #21434190C2semidirect
26. #21434099C2semidirect
27. #21433373C2semidirect
28. #21433368C2semidirect
29. #21433368C2semidirect
30. #21433169C2semidirect
31. C59×#3009C2semidirect
33. C2×#14273757C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273756C22semidirect
36. C22×#11745670C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×SD16×D59C22semidirect
43. #16838123C22semidirect
44. #16838123C22semidirect
45. #16838120C22semidirect
46. #16838120C22semidirect
47. Q8×C22⋊D59C22semidirect
48. Q8×C22⋊D59C22semidirect
49. #16838065C22semidirect
50. #16838065C22semidirect
69. #16837975C22semidirect
70. #16837975C22semidirect
71. #16837973C22semidirect
74. #16837954C22semidirect
75. #16837954C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
83. #16837780C22semidirect
84. #16837773C22semidirect
85. #16837763C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837742C22semidirect
92. #16837741C22semidirect
93. #16837738C22semidirect
94. #16837735C22semidirect
95. #16837733C22semidirect
96. #16837730C22semidirect
97. #16837727C22semidirect
98. #16837726C22semidirect
99. #16837725C22semidirect
100. #16837724C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837660C22semidirect
106. #16837659C22semidirect
107. #16837658C22semidirect
108. #16837657C22semidirect
109. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
112. #16837645C22semidirect
113. #16837643C22semidirect
114. #16837642C22semidirect
115. #16837641C22semidirect
116. #16837640C22semidirect
117. #16837633C22semidirect
118. #16837631C22semidirect
119. #16837630C22semidirect
120. #16837628C22semidirect
121. #16837627C22semidirect
122. #16837626C22semidirect
123. #16837623C22semidirect
124. #16837622C22semidirect
125. #16837611C22semidirect
126. #16837610C22semidirect
127. #16837605C22semidirect
128. #16837605C22semidirect
129. #16837605C22semidirect
130. #16837605C22semidirect
131. #16837601C22semidirect
132. #16837600C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
135. #16837565C22semidirect
136. #16837565C22semidirect
137. #16837564C22semidirect
138. #16837564C22semidirect
139. #16837564C22semidirect
140. #16837564C22semidirect
141. #16837562C22semidirect
142. #16837562C22semidirect
143. #16837561C22semidirect
144. #16837561C22semidirect
145. #16837560C22semidirect
146. #16837558C22semidirect
147. #16837556C22semidirect
148. #16837556C22semidirect
149. #16837554C22semidirect
150. #16837554C22semidirect
153. #16837553C22semidirect
154. #16837553C22semidirect
155. #16837551C22semidirect
156. #16837551C22semidirect
157. #16837543C22semidirect
158. #16837541C22semidirect
159. #16837539C22semidirect
160. #16837539C22semidirect
161. #16837503C22semidirect
162. #16837503C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837493C22semidirect
166. #16837493C22semidirect
167. SD16×Dic59C22semidirect
168. SD16×Dic59C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837405C22semidirect
182. #16837398C22semidirect
183. #16837395C22semidirect
184. #16837395C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C2×#137×C59C22semidirect
190. C22×SD16×C59C22semidirect
191. C59×#536C22semidirect
192. C59×#452C22semidirect
193. C59×#452C22semidirect
194. C59×#452C22semidirect
195. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#418C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
960. #3009D59semidirect
979. C2×#137C2×D59semidirect
983. C22×SD16C2×D59semidirect
1017. #536C2×D59semidirect
1091. #452C2×D59semidirect
1092. #452C2×D59semidirect
1093. #452C2×D59semidirect
1094. #452C2×D59semidirect
1109. #450C2×D59semidirect
1110. #450C2×D59semidirect
1136. #418C2×D59semidirect
1140. #416C2×D59semidirect
1144. #408C2×D59semidirect
1145. C59#61680semidirect

Maximal subgroups

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

subgroupindex
#214385052
#214378552
#214363232
#214363202
#214361362
#214361332
#214361282
#214361252
#214360092
#214360062
#214357902
SD16×C22⋊D592
#214357402
#214357362
#214356102
#214356062
#214356042
#214356002
#214351042
#214350502
#214349802
#214349782
#214349772
#214349752
#214341902
#214340992
#214333732
#214333682
#214331692
C59×#30092
#6168059