Finite Group Databasebeta

← #29475235

Subgroups — #29475235

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438391C211yesmaximal, characteristic, complemented
2#21437758C211yesmaximal, characteristic, complemented
3#21436427C211yesmaximal, characteristic, complemented
4#21436357C211yesmaximal, characteristic, complemented
5#21436323C211yesmaximal, characteristic, complemented
6#21436293C211yesmaximal, characteristic, complemented
7#21436181C211yesmaximal, characteristic, complemented
8#21436158C211yesmaximal, characteristic, complemented
9#21436121C211yesmaximal, characteristic, complemented
10#21436098C211yesmaximal, characteristic, complemented
11#21435756C211yesmaximal, characteristic, complemented
12#21435747C211yesmaximal, characteristic, complemented
13#21435731C211yesmaximal, characteristic, complemented
14#21435694C211yesmaximal, characteristic, complemented
15#21435685C211yesmaximal, characteristic, complemented
16#21435644C211yesmaximal, characteristic, complemented
17#21435606C211yesmaximal, characteristic, complemented
18#21435591C211yesmaximal, characteristic, complemented
19#21435194C211yesmaximal, characteristic, complemented
20#21435164C211yesmaximal, characteristic, complemented
21#21434998C211yesmaximal, characteristic, complemented
22#21434978C211yesmaximal, characteristic, complemented
23#21434913C211yesmaximal, characteristic, complemented
24#21434899C211yesmaximal, characteristic, complemented
25#21434359C211yesmaximal, characteristic, complemented
26#21434311C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433353C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21433154C211yesmaximal, characteristic, complemented
31C59×#3009C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273753C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39#16838151—21no—
40#16838149—21no—
41#16838120C2211yescharacteristic, complemented
42#16838113—21no—
43#16838110C2211yescharacteristic, complemented
44#16838097—21no—
45#16838096C2211yescharacteristic, complemented
46#16838094C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic
48#16838071C2211yescharacteristic
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838063C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic, complemented
52#16838059C2211yescharacteristic
53#16838059C2211yescharacteristic
54#16838054C2211yescharacteristic, complemented
55#16838046—21no—
56#16838046—21no—
57#16838046C2211yescharacteristic
58#16838046C2211yescharacteristic
59D4×C22⋊D59—21no—
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838025C2211yescharacteristic, complemented
64#16838016—21no—
65#16838012C2211yescharacteristic, complemented
66#16837995—21no—
67#16837988—21no—
68#16837986—21no—
69#16837980—21no—
70#16837980C2211yescharacteristic
71#16837980C2211yescharacteristic, complemented
72#16837969—21no—
73#16837969C2211yescharacteristic
74#16837915C2211yescharacteristic, complemented
75#16837909—21no—
76#16837909C2211yescharacteristic
77C22⋊Q8×D59C2211yescharacteristic, complemented
78C2×#14273698—21no—
79C2×#14273698C2211yescharacteristic
80#16837885C2211yescharacteristic
81#16837793C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837743C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837645C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic, complemented
117#16837643C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic
136#16837564C2211yescharacteristic, complemented
137#16837563C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837562C2211yescharacteristic, complemented
140#16837561C2211yescharacteristic, complemented
141#16837559C2211yescharacteristic, complemented
142#16837558C2211yescharacteristic, complemented
143#16837556C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837553C2211yescharacteristic, complemented
146#16837553C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic
153#16837547C2211yescharacteristic, complemented
154#16837546C2211yescharacteristic, complemented
155#16837546C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837536C2211yescharacteristic, complemented
160#16837536C2211yescharacteristic, complemented
161#16837506C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165Q16×Dic59C2211yescharacteristic, complemented
166Q16×Dic59C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837403C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic
189C2×#137×C59C2211yescharacteristic, complemented
190C22×SD16×C59C2211yescharacteristic, complemented
191C59×#536C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic
193C59×#452C2211yescharacteristic
194C59×#452C2211yescharacteristic, complemented
195C59×#452C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210#41×D59—42no—
211#41×D59—42no—
212C2×Q8×D59C2311yescharacteristic
213C2×Q8×D59C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59C2311yescharacteristic
219C22×C4×D59—21no—
220C22×C4×D59C2311yescharacteristic
221#14273759—42no—
222#14273759—42no—
223#14273756—42no—
224#14273754—42no—
225#14273753—42no—
226#14273747—42no—
227C2×Dic236C2311yescharacteristic
228C2×#11745672C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745672C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C22×C59⋊C8C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273725—21no—
251#14273725C2311yescharacteristic
252#14273723—21no—
253#14273723—21no—
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273721—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273718—21no—
264#14273718—21no—
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273717—21no—
268#14273716—21no—
269#14273716C2311yescharacteristic
270#14273714—21no—
271#14273714—21no—
272#14273714C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273711—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708D411yescharacteristic
286#14273708D411yescharacteristic
287#14273707—21no—
288#14273707—21no—
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706—21no—
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273705—21no—
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703D411yescharacteristic
306#14273703D411yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701—21no—
312#14273701—21no—
313#14273701C2311yescharacteristic
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273701C2311yescharacteristic
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698D411yescharacteristic
339#14273698D411yescharacteristic
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273697—21no—
345#14273696—21no—
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273696—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695D411yescharacteristic
354#14273695D411yescharacteristic
355Q8×Dic59C2311yescharacteristic
356Q8×Dic59C2311yescharacteristic
357Q8×Dic59C2311yescharacteristic
358Q8×Dic59C2311yescharacteristic
359C4×Dic118—21no—
360#14273692C2311yescharacteristic
361C4×D236—21no—
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689—21no—
367#14273689—21no—
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
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#14273686—21no—
382#14273686C2311yescharacteristic
383#14273685C2311yescharacteristic
384#14273683—21no—
385C2×C4⋊Dic59—21no—
386C2×C4⋊Dic59C2311yescharacteristic
387C2×C4⋊Dic59C2311yescharacteristic
388C4⋊C4×D59—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59C2311yescharacteristic
391C2×C22⋊Dic59—21no—
392C2×C22⋊Dic59—21no—
393C2×C22⋊Dic59—21no—
394C22⋊C4×D59—21no—
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
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×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
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—21no—
512C2×D4×C59—22no—
513C2×D4×C59—22no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—41no—
520C2×D4×C59—41no—
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—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—82no—
556C2×C22⋊D59—82no—
557C2×C22⋊D59—82no—
558C2×C22⋊D59C2×D411yescharacteristic
559C2×C22⋊D59C2×D411yescharacteristic
560C2×C22⋊D59C2×D411yescharacteristic
561C2×C22⋊D59C2×D411yescharacteristic
562C22×Dic59—21no—
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59C2×D411yescharacteristic
568#11745689—22no—
569#11745689—41no—
570#11745689—41no—
571#11745689—41no—
572Q8×D59—22no—
573Q8×D59—41no—
574Q8×D59—41no—
575Q8×D59—41no—
576#11745687—22no—
577#11745687—41no—
578#11745687—44no—
579D4×D59—22no—
580D4×D59—41no—
581D4×D59—44no—
582#11745685—41no—
583#11745685—41no—
584#11745685—41no—
585#11745685—41no—
586#11745685—44no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—41no—
601C2×C4×D59—41no—
602C2×C4×D59—44no—
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—22no—
613Q16×C59—22no—
614SD16×C59—22no—
615SD16×C59—22no—
616SD16×C59—41no—
617SD16×C59—41no—
618SD16×C59—41no—
619SD16×C59—41no—
620M16×C59—41no—
621C2×C8×C59—41no—
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C42×C59—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⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59C2×D411yescharacteristic
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655C22⋊Dic59C2×D411yescharacteristic
656C22⋊Dic59C2×D411yescharacteristic
657C22⋊Dic59C2×D411yescharacteristic
658#11745672—22no—
659#11745672—41no—
660#11745672—41no—
661#11745671—22no—
662#11745671—41no—
663#11745671—41no—
664#11745670—22no—
665#11745670—41no—
666#11745670—41no—
667#11745669—22no—
668#11745669—41no—
669#11745669—41no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59C2×D411yescharacteristic
695C4⋊Dic59C2×D411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
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×Dic59C2411yescharacteristic
723C4×Dic59C2411yescharacteristic
724#11745664—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730Dic236—41no—
731D472—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737#11745659—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—42no—
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—21no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—41no—
769Q8×C59—81no—
770Q8×C59H(5,𝔽2)12yes—
771D4×C59—24no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—41no—
778D4×C59—41no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59H(5,𝔽2)12yes—
786C2×C4×C59—24no—
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—21no—
797C2×C4×C59—21no—
798C2×C4×C59—42no—
799C2×C4×C59—42no—
800C2×C4×C59—81no—
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C2511yescharacteristic
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
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—
824C22⋊D59—81no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—41no—
832C2×Dic59—42no—
833C2×Dic59—81no—
834C2×Dic59—81no—
835C2×Dic59—81no—
836C2×Dic59—81no—
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—42no—
848D236—42no—
849D236—81no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—81no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—42no—
869Dic118—81no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61654—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—22no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—162no—
899C22×C59—162no—
900C22×C59—162no—
901C22×C59C23×D411yescharacteristic
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—82no—
915C2×D59—84no—
916C4×C59—22no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59C2×H(5,𝔽2)11yescharacteristic
925C4×C59C2×H(5,𝔽2)11yescharacteristic
926Dic59—21no—
927Dic59—21no—
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541—591no—
939#3488—591no—
940#3333—591no—
941#3327—591no—
942#3324—591no—
943#3322—591no—
944#3314—591no—
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277—591no—
950#3275—591no—
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009D5911yescharacteristic, complemented
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—41no—
970C2×C59—42no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—81no—
974C2×C59—81no—
975C2×C59#348411yescharacteristic
976C2×C59#358511yescharacteristic
977C2×C59#358611yescharacteristic
978D59—41no—
979D59—41no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)C2×D5911yescharacteristic
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×#137C2×D5911yescharacteristic, complemented
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)—591no—
990C2×#135—591no—
991C22×SD16C2×D5911yescharacteristic, complemented
992#563—1181no—
993#562—1181no—
994#556—591no—
995#554—591no—
996#554—1181no—
997#553—591no—
998#553—1181no—
999#552—591no—
1000#550—591no—
1001#550—591no—
1002D4×Q8—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#548—591no—
1007#547—591no—
1008#546—591no—
1009#546—591no—
1010#546—1181no—
1011#546—1181no—
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—591no—
1017#542—1181no—
1018#541—591no—
1019#539—1181no—
1020#538—1181no—
1021#538—1181no—
1022#537—591no—
1023#537—591no—
1024#537—1181no—
1025#536C2×D5911yescharacteristic, complemented
1026#535—591no—
1027#535—1181no—
1028#525—591no—
1029#525—591no—
1030#525—1181no—
1031C2×C22⋊Q8—591no—
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#492—591no—
1039#490—591no—
1040#489—591no—
1041#488—591no—
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484—591no—
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482—591no—
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480—591no—
1055#479—591no—
1056#478—591no—
1057#477—591no—
1058#474—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#467—591no—
1072#467—591no—
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452C2×D5911yescharacteristic
1096#452C2×D5911yescharacteristic
1097#452C2×D5911yescharacteristic, complemented
1098#452C2×D5911yescharacteristic, complemented
1099#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450C2×D5911yescharacteristic, complemented
1107#450C2×D5911yescharacteristic, complemented
1108#450C2×D5911yescharacteristic, complemented
1109#450C2×D5911yescharacteristic, complemented
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×Q16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436—591no—
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435—591no—
1139#433—591no—
1140#433—591no—
1141#419—591no—
1142#418—591no—
1143#418C2×D5911yescharacteristic, complemented
1144#417—591no—
1145#417—591no—
1146#417—591no—
1147#416C2×D5911yescharacteristic, complemented
1148C2×#102—591no—
1149#408—591no—
1150#408C2×D5911yescharacteristic, complemented
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—2362no—
1165C2×#41—2362no—
1166C2×#41C22×D5911yescharacteristic
1167C2×#41C22×D5911yescharacteristic
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4C22×D5911yescharacteristic
1182C22×D4C22×D5911yescharacteristic
1183C22×D4C22×D5911yescharacteristic
1184C23×C4—591no—
1185C23×C4—1181no—
1186#137—42no—
1187#137—2362no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—2362no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16C22×D5911yescharacteristic
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—42no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16—591no—
1223C2×M16C22×D5911yescharacteristic
1224C22×C8—591no—
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—591no—
1228C4⋊Q8—591no—
1229C4⋊Q8—1181no—
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—591no—
1242#125—1181no—
1243#125—1181no—
1244#125—1181no—
1245#125—1181no—
1246#124—21no—
1247#124—591no—
1248#124—591no—
1249#124—591no—
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—591no—
1259#123—591no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—591no—
1295#121—591no—
1296#121—591no—
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—1181no—
1306#121—1181no—
1307#121—1181no—
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#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#120—591no—
1330#120—591no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340C4×Q8—591no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8—591no—
1344C4×Q8—591no—
1345C4×Q8—1181no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366#117—591no—
1367#117—591no—
1368#117—1181no—
1369#117—1181no—
1370#117C22×D5911yescharacteristic
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C4⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#107—591no—
1386#107—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8C22×D5911yescharacteristic
1434C22⋊C8C22×D5911yescharacteristic
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—591no—
1445C24—1181no—
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—1182no—
1456#41—1182no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2364no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—1181no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8D4×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—44no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1182no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
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—4722no—
1525C2×D4—4722no—
1526C2×D4—4722no—
1527C2×D4—2361no—
1528C2×D4—2364no—
1529C2×D4D4×D5911yescharacteristic
1530C2×D4D4×D5911yescharacteristic
1531C2×D4D4×D5911yescharacteristic
1532C2×D4C23×D5911yescharacteristic
1533C2×D4C23×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2364no—
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—1182no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—1182no—
1576SD16—1182no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582SD16—2361no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—41no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—591no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—591no—
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⋊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⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
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—
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—
1680C42—21no—
1681C42—591no—
1682C42—591no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42—1181no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—42no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—591no—
1702C23—591no—
1703C23—1181no—
1704C23—1181no—
1705C23—4721no—
1706C23—2361no—
1707C23—2361no—
1708C23—2361no—
1709C23—2362no—
1710C23—2362no—
1711C23C2×D4×D5911yescharacteristic
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—41no—
1720Q8—81no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—4721no—
1726Q8—4721no—
1727Q8—2362no—
1728Q8#1427377212yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—41no—
1737D4—41no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—1181no—
1744D4—1181no—
1745D4—1181no—
1746D4—1181no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—2362no—
1760D4—2362no—
1761D4—2361no—
1762D4—2361no—
1763D4—2361no—
1764D4—2361no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4#1427377212yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—591no—
1791C2×C4—591no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—4721no—
1810C2×C4—4721no—
1811C2×C4—2361no—
1812C2×C4—2361no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2361no—
1817C2×C4—2362no—
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—162no—
1849C22—162no—
1850C22—162no—
1851C22—1181no—
1852C22—1181no—
1853C22—1181no—
1854C22—1181no—
1855C22—1181no—
1856C22—1181no—
1857C22—4724no—
1858C22—4722no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—1181no—
1875C4—1181no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4C2×#1427377211yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—4721no—
1895C2—4721no—
1896C2—2361no—
1897C2—2361no—
1898C2#2143772511yescharacteristic
1899C2#2143887411yescharacteristic
1900C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3009C2
socleC22×C59C23×D4
hypercenter#3009D59
hypocenterC59#61654
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. #21438391C2semidirect
2. #21437758C2semidirect
3. #21436427C2semidirect
4. #21436357C2semidirect
5. #21436323C2semidirect
6. #21436293C2semidirect
7. #21436181C2semidirect
8. #21436158C2semidirect
9. #21436121C2semidirect
10. #21436098C2semidirect
11. #21435756C2semidirect
12. #21435747C2semidirect
13. #21435731C2semidirect
14. #21435694C2semidirect
15. #21435685C2semidirect
16. #21435644C2semidirect
17. #21435606C2semidirect
18. #21435591C2semidirect
19. #21435194C2semidirect
20. #21435164C2semidirect
21. #21434998C2semidirect
22. #21434978C2semidirect
23. #21434913C2semidirect
24. #21434899C2semidirect
25. #21434359C2semidirect
26. #21434311C2semidirect
27. #21433400C2semidirect
28. #21433353C2semidirect
29. #21433339C2semidirect
30. #21433154C2semidirect
31. C59×#3009C2semidirect
33. C2×#14273759C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273753C22semidirect
38. C2×#14273747C22semidirect
41. #16838120C22semidirect
43. #16838110C22semidirect
45. #16838096C22semidirect
46. #16838094C22semidirect
49. Q8×C22⋊D59C22semidirect
50. #16838063C22semidirect
51. #16838062C22semidirect
54. #16838054C22semidirect
63. #16838025C22semidirect
65. #16838012C22semidirect
71. #16837980C22semidirect
74. #16837915C22semidirect
77. C22⋊Q8×D59C22semidirect
81. #16837793C22semidirect
82. #16837788C22semidirect
83. #16837783C22semidirect
84. #16837773C22semidirect
85. #16837765C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837747C22semidirect
89. #16837743C22semidirect
90. #16837738C22semidirect
91. #16837738C22semidirect
92. #16837735C22semidirect
93. #16837730C22semidirect
94. #16837726C22semidirect
95. #16837724C22semidirect
96. #16837724C22semidirect
97. #16837716C22semidirect
98. #16837716C22semidirect
99. #16837714C22semidirect
100. #16837714C22semidirect
101. #16837711C22semidirect
102. #16837700C22semidirect
103. #16837695C22semidirect
104. #16837680C22semidirect
105. #16837658C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837645C22semidirect
115. #16837645C22semidirect
116. #16837645C22semidirect
117. #16837643C22semidirect
118. #16837641C22semidirect
119. #16837638C22semidirect
120. #16837633C22semidirect
121. #16837626C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837619C22semidirect
126. #16837616C22semidirect
127. #16837610C22semidirect
128. #16837605C22semidirect
129. #16837601C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
132. #16837596C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
136. #16837564C22semidirect
137. #16837563C22semidirect
138. #16837562C22semidirect
139. #16837562C22semidirect
140. #16837561C22semidirect
141. #16837559C22semidirect
142. #16837558C22semidirect
143. #16837556C22semidirect
144. #16837554C22semidirect
145. #16837553C22semidirect
146. #16837553C22semidirect
147. #16837551C22semidirect
148. #16837550C22semidirect
149. #16837549C22semidirect
150. #16837549C22semidirect
151. #16837548C22semidirect
153. #16837547C22semidirect
154. #16837546C22semidirect
155. #16837546C22semidirect
156. #16837541C22semidirect
157. #16837539C22semidirect
158. #16837539C22semidirect
159. #16837536C22semidirect
160. #16837536C22semidirect
161. #16837506C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. Q16×Dic59C22semidirect
166. Q16×Dic59C22semidirect
167. #16837493C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837460C22semidirect
178. #16837460C22semidirect
179. #16837409C22semidirect
180. #16837405C22semidirect
181. #16837403C22semidirect
182. #16837402C22semidirect
183. #16837400C22semidirect
184. C2×#14273648C22semidirect
185. #16837369C22semidirect
186. #16837364C22semidirect
187. #16837364C22semidirect
189. C2×#137×C59C22semidirect
190. C22×SD16×C59C22semidirect
191. C59×#536C22semidirect
194. C59×#452C22semidirect
195. C59×#452C22semidirect
196. C59×#450C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#418C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
965. #3009D59semidirect
987. C2×#137C2×D59semidirect
991. C22×SD16C2×D59semidirect
1025. #536C2×D59semidirect
1097. #452C2×D59semidirect
1098. #452C2×D59semidirect
1106. #450C2×D59semidirect
1107. #450C2×D59semidirect
1108. #450C2×D59semidirect
1109. #450C2×D59semidirect
1143. #418C2×D59semidirect
1147. #416C2×D59semidirect
1150. #408C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214383912
#214377582
#214364272
#214363572
#214363232
#214362932
#214361812
#214361582
#214361212
#214360982
#214357562
#214357472
#214357312
#214356942
#214356852
#214356442
#214356062
#214355912
#214351942
#214351642
#214349982
#214349782
#214349132
#214348992
#214343592
#214343112
#214334002
#214333532
#214333392
#214331542
C59×#30092
#6165459