Finite Group Databasebeta

← #29475638

Subgroups — #29475638

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438514C211yesmaximal, characteristic, complemented
2#21437870C211yesmaximal, characteristic, complemented
3#21436241C211yesmaximal, characteristic, complemented
4#21436233C211yesmaximal, characteristic, complemented
5#21436223C211yesmaximal, characteristic, complemented
6#21436215C211yesmaximal, characteristic, complemented
7#21436121C211yesmaximal, characteristic, complemented
8#21436113C211yesmaximal, characteristic, complemented
9#21436103C211yesmaximal, characteristic, complemented
10#21436095C211yesmaximal, characteristic, complemented
11#21435685C211yesmaximal, characteristic, complemented
12#21435681C211yesmaximal, characteristic, complemented
13#21435636C211yesmaximal, characteristic, complemented
14#21435629C211yesmaximal, characteristic, complemented
15#21435589C211yesmaximal, characteristic, complemented
16#21435585C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435117C211yesmaximal, characteristic, complemented
20#21435112C211yesmaximal, characteristic, complemented
21#21434965C211yesmaximal, characteristic, complemented
22#21434959C211yesmaximal, characteristic, complemented
23#21434950C211yesmaximal, characteristic, complemented
24#21434942C211yesmaximal, characteristic, complemented
25#21434206C211yesmaximal, characteristic, complemented
26#21434198C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433370C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433165C211yesmaximal, characteristic, complemented
31C59×#3012C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39#16838153—21no—
40#16838140—21no—
41#16838116—21no—
42#16838104C2211yescharacteristic, complemented
43#16838100C2211yescharacteristic, complemented
44#16838094C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic, complemented
46#16838079—21no—
47#16838071C2211yescharacteristic
48#16838071C2211yescharacteristic
49#16838071C2211yescharacteristic, complemented
50#16838071C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic, complemented
52#16838059C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic, complemented
55D4×C22⋊D59—21no—
56D4×C22⋊D59—21no—
57D4×C22⋊D59—21no—
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic, complemented
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838005—21no—
64#16838002—21no—
65#16837989—21no—
66#16837984—21no—
67#16837980C2211yescharacteristic, complemented
68#16837975C2211yescharacteristic, complemented
69#16837969—21no—
70#16837969C2211yescharacteristic
71#16837968C2211yescharacteristic, complemented
72#16837966—21no—
73#16837966C2211yescharacteristic, complemented
74#16837948—21no—
75#16837948C2211yescharacteristic
76C2×#14273723—21no—
77C2×#14273723C2211yescharacteristic, complemented
78#16837938C2211yescharacteristic, complemented
79#16837933C2211yescharacteristic, complemented
80#41×Dic59C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837567C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837555C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837553C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837549C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837403C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C2×#135×C59C2211yescharacteristic, complemented
191C59×#537C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic, complemented
193C59×#452C2211yescharacteristic, complemented
194C59×#450C2211yescharacteristic, complemented
195C59×#450C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×Q8×D59C2311yescharacteristic
211C22×D236—21no—
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59C2311yescharacteristic
222C2×D4×D59C2311yescharacteristic
223C2×D4×D59C2311yescharacteristic
224#14273759—42no—
225#14273754—42no—
226#14273753—42no—
227#14273747—42no—
228C2×#11745672C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237SD16×D59—42no—
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245D8×D59—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252#14273726—21no—
253#14273725D411yescharacteristic
254#14273723—21no—
255#14273723—21no—
256#14273723—21no—
257#14273723—21no—
258#14273723—21no—
259#14273723—21no—
260#14273723—21no—
261#14273723—21no—
262#14273723—21no—
263#14273723D411yescharacteristic
264#14273723C2311yescharacteristic
265#14273723C2311yescharacteristic
266#14273723C2311yescharacteristic
267#14273723C2311yescharacteristic
268#14273722—21no—
269#14273722—21no—
270#14273722—21no—
271#14273722—21no—
272#14273720—21no—
273#14273720—21no—
274#14273718—21no—
275#14273718C2311yescharacteristic
276#14273718C2311yescharacteristic
277#14273717—21no—
278#14273716—21no—
279#14273716D411yescharacteristic
280#14273716C2311yescharacteristic
281#14273714—21no—
282#14273714—21no—
283#14273714D411yescharacteristic
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273710—21no—
294#14273710—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708—21no—
298#14273707C2311yescharacteristic
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273705—21no—
303#14273703—21no—
304#14273703C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273701—21no—
307#14273701—21no—
308#14273701—21no—
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273701C2311yescharacteristic
317#14273700—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273699D411yescharacteristic
328#14273699D411yescharacteristic
329#14273699D411yescharacteristic
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273697—21no—
343#14273696—21no—
344#14273696—21no—
345#14273696—21no—
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358Q8×Dic59C2311yescharacteristic
359Q8×Dic59C2311yescharacteristic
360Q8×Dic59C2311yescharacteristic
361#14273692C2311yescharacteristic
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59—21no—
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368D4×Dic59C2311yescharacteristic
369#14273689—21no—
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381(C22⋊D59)⋊C4—21no—
382#14273686—21no—
383#14273686—21no—
384#14273686C2311yescharacteristic
385#14273685—21no—
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273683—21no—
389#14273683—21no—
390C2×C4⋊Dic59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C2×C4×Dic59—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#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
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
441#14273637C2311yescharacteristic
442#14273637C2311yescharacteristic
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
450C2×#41×C59C2311yescharacteristic
451C22×D4×C59—21no—
452C22×D4×C59—21no—
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457AGL(1,ℤ/8)×C59—42no—
458#135×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×SD16×C59C2311yescharacteristic
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×D8×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59—21no—
474#121×C59—21no—
475#121×C59C2311yescharacteristic
476#121×C59C2311yescharacteristic
477C2×C4⋊C4×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—
495C23×D59—21no—
496C23×D59—21no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—22no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—44no—
506#41×C59—41no—
507#41×C59—41no—
508C2×Q8×C59C2×D411yescharacteristic
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—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—41no—
525C2×D4×C59—41no—
526C2×D4×C59—44no—
527C2×D4×C59—44no—
528C2×D4×C59—44no—
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—82no—
568C2×C22⋊D59—82no—
569C2×C22⋊D59—82no—
570C2×C22⋊D59—82no—
571C2×C22⋊D59—82no—
572C2×C22⋊D59—82no—
573C2×C22⋊D59C2×D411yescharacteristic
574C2×C22⋊D59C2×D411yescharacteristic
575C2×C22⋊D59C2×D411yescharacteristic
576C2×C22⋊D59C2×D411yescharacteristic
577C2×C22⋊D59C2×D411yescharacteristic
578C2×C22⋊D59C2×D411yescharacteristic
579C22×Dic59—21no—
580C22×Dic59—21no—
581C22×Dic59—21no—
582C22×Dic59—21no—
583C22×Dic59C2×D411yescharacteristic
584C22×Dic59C2×D411yescharacteristic
585#11745689—22no—
586#11745689—22no—
587#11745689—41no—
588#11745689—41no—
589Q8×D59—41no—
590Q8×D59—41no—
591D4×D59—22no—
592D4×D59—22no—
593D4×D59—41no—
594D4×D59—41no—
595D4×D59—41no—
596D4×D59—41no—
597D4×D59—44no—
598D4×D59—44no—
599#11745685—41no—
600#11745685—41no—
601#11745685—41no—
602#11745685—41no—
603#11745685—44no—
604C2×D236—21no—
605C2×D236—21no—
606C2×D236—21no—
607C2×D236—21no—
608C2×D236—41no—
609C2×D236—41no—
610C2×D236—44no—
611C2×D236C2×D411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×D236C2411yescharacteristic
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×Dic118—21no—
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625Q16×C59—22no—
626SD16×C59—22no—
627SD16×C59—22no—
628SD16×C59—41no—
629SD16×C59—41no—
630D8×C59—22no—
631D8×C59—41no—
632D8×C59—41no—
633M16×C59—41no—
634C2×C8×C59—41no—
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59—21no—
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59C2×D411yescharacteristic
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664C22⋊Dic59C2×D411yescharacteristic
665#11745672—22no—
666#11745671—22no—
667#11745671—41no—
668#11745671—41no—
669#11745670—22no—
670#11745670—41no—
671#11745670—41no—
672#11745669—22no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676#11745669—41no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
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×Dic59—21no—
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2×D411yescharacteristic
725C4×Dic59C2411yescharacteristic
726C4×Dic59C2411yescharacteristic
727#11745664—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733D472—41no—
734D472—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C23×C59C22×D411yescharacteristic
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—41no—
778Q8×C59H(5,𝔽2)12yes—
779D4×C59—24no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—41no—
788D4×C59—41no—
789D4×C59—41no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—42no—
793D4×C59—42no—
794D4×C59—42no—
795D4×C59—81no—
796D4×C59—81no—
797D4×C59—81no—
798D4×C59H(5,𝔽2)12yes—
799C2×C4×C59—24no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—42no—
811C2×C4×C59—42no—
812C2×C4×C59—81no—
813C2×C4×C59—81no—
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C22×D411yescharacteristic
816C2×C4×C59C22×D411yescharacteristic
817C2×C4×C59C2511yescharacteristic
818C22⋊D59—41no—
819C22⋊D59—41no—
820C22⋊D59—41no—
821C22⋊D59—41no—
822C22⋊D59—41no—
823C22⋊D59—41no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C2×Dic59—21no—
848C2×Dic59—21no—
849C2×Dic59—21no—
850C2×Dic59—21no—
851C2×Dic59—21no—
852C2×Dic59—41no—
853C2×Dic59—41no—
854C2×Dic59—42no—
855C2×Dic59—42no—
856C2×Dic59—81no—
857C2×Dic59—81no—
858C2×Dic59C22×D411yescharacteristic
859C2×Dic59C22×D411yescharacteristic
860C2×Dic59C22×D411yescharacteristic
861C2×Dic59C22×D411yescharacteristic
862C2×Dic59C22×D411yescharacteristic
863C2×Dic59C22×D411yescharacteristic
864D236—21no—
865D236—21no—
866D236—21no—
867D236—21no—
868D236—21no—
869D236—21no—
870D236—41no—
871D236—42no—
872D236—42no—
873D236—42no—
874D236—81no—
875C4×D59—21no—
876C4×D59—21no—
877C4×D59—21no—
878C4×D59—21no—
879C4×D59—42no—
880C4×D59—42no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884Dic118—21no—
885Dic118—21no—
886Dic118—41no—
887Dic118—81no—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61675—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—22no—
905C22×C59—21no—
906C22×C59—21no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—162no—
919C22×C59—162no—
920C22×C59—162no—
921C22×C59C23×D411yescharacteristic
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—22no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59C2×H(5,𝔽2)11yescharacteristic
949C4×C59C2×H(5,𝔽2)11yescharacteristic
950Dic59—21no—
951Dic59—21no—
952Dic59—21no—
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—41no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317—591no—
967#3310—591no—
968#3310—591no—
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265—591no—
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217—591no—
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198—591no—
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012D5911yescharacteristic, complemented
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—42no—
994C2×C59—41no—
995C2×C59—41no—
996C2×C59—81no—
997C2×C59—81no—
998C2×C59—81no—
999C2×C59#348411yescharacteristic
1000C2×C59#358511yescharacteristic
1001C2×C59#358511yescharacteristic
1002D59—41no—
1003D59—41no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1013C2×#135—591no—
1014C2×#135C2×D5911yescharacteristic, complemented
1015C22×SD16—591no—
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552—591no—
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550—591no—
1029#548—591no—
1030#548—591no—
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—591no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42—1181no—
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537C2×D5911yescharacteristic, complemented
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—591no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—1181no—
1055C2×#127—591no—
1056C2×#127—1181no—
1057#529—591no—
1058#529—591no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496—591no—
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490—591no—
1068#485—591no—
1069#485—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482—591no—
1076#481—591no—
1077#481—591no—
1078#480—591no—
1079#480—591no—
1080#479—591no—
1081#479—591no—
1082#478—591no—
1083#478—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468—591no—
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466—591no—
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#460—591no—
1105#460—591no—
1106#460—591no—
1107#460—591no—
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452C2×D5911yescharacteristic, complemented
1117#452C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450C2×D5911yescharacteristic, complemented
1125#450C2×D5911yescharacteristic, complemented
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449C2×D5911yescharacteristic
1135#449C2×D5911yescharacteristic, complemented
1136#448—591no—
1137#448—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447C2×D5911yescharacteristic, complemented
1147#447C2×D5911yescharacteristic, complemented
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#441—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440—591no—
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#432—591no—
1165#432—591no—
1166#418—591no—
1167#418—591no—
1168#417—591no—
1169#417C2×D5911yescharacteristic, complemented
1170#416—591no—
1171#416—591no—
1172C2×#102—591no—
1173C2×#102C2×D5911yescharacteristic, complemented
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408C2×D5911yescharacteristic, complemented
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—21no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—1181no—
1189C2×#41C22×D5911yescharacteristic
1190C2×#41C22×D5911yescharacteristic
1191C2×#41C22×D5911yescharacteristic
1192C2×#41C22×D5911yescharacteristic
1193C2×#41C22×D5911yescharacteristic
1194C22×Q8—591no—
1195C22×D4—21no—
1196C22×D4—21no—
1197C22×D4—21no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4C22×D5911yescharacteristic
1212C22×D4C22×D5911yescharacteristic
1213C22×D4C22×D5911yescharacteristic
1214#137—2362no—
1215AGL(1,ℤ/8)—42no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—42no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16C22×D5911yescharacteristic
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—2362no—
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—2362no—
1243C2×D8C22×D5911yescharacteristic
1244C2×D8C22×D5911yescharacteristic
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—591no—
1257#127—591no—
1258#127—591no—
1259#127—591no—
1260#127—591no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127—1181no—
1267#127—1181no—
1268#127—1181no—
1269#127—1181no—
1270#126—1181no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—591no—
1277#125—591no—
1278#125—1181no—
1279#125—1181no—
1280#124—591no—
1281#124—591no—
1282#124—591no—
1283#124—591no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124—1181no—
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—21no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—591no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121C22×D5911yescharacteristic
1351#121C22×D5911yescharacteristic
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8—591no—
1371C4×Q8—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—591no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4—1181no—
1392#117—591no—
1393#117—591no—
1394#117—591no—
1395#117—1181no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117—1181no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4C22×D5911yescharacteristic
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107—591no—
1410#106—591no—
1411#106—591no—
1412#106—591no—
1413#106—591no—
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8—591no—
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102C22×D5911yescharacteristic
1445#102C22×D5911yescharacteristic
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8C22×D5911yescharacteristic
1459C22⋊C8C22×D5911yescharacteristic
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97—591no—
1465#97—591no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—41no—
1483#41—41no—
1484#41—1182no—
1485#41—1182no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2364no—
1491#41—2361no—
1492#41—2361no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—1181no—
1496C2×Q8—2361no—
1497C2×Q8—2361no—
1498C2×Q8D4×D5911yescharacteristic
1499C2×Q8C23×D5911yescharacteristic
1500C2×Q8C23×D5911yescharacteristic
1501C2×D4—21no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—591no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1182no—
1544C2×D4—1182no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—4722no—
1563C2×D4—4722no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2364no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2361no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4D4×D5911yescharacteristic
1574C2×D4D4×D5911yescharacteristic
1575C2×D4D4×D5911yescharacteristic
1576C2×D4C23×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4C23×D5911yescharacteristic
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—22no—
1602Q16—1182no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—1182no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—591no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C42—591no—
1707C42—591no—
1708C42—591no—
1709C42—591no—
1710C42—1181no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42—1181no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—591no—
1731C23—591no—
1732C23—1181no—
1733C23—1181no—
1734C23—1181no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23C2×D4×D5911yescharacteristic
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—41no—
1754Q8—1181no—
1755Q8—1181no—
1756Q8—4721no—
1757Q8—2361no—
1758Q8#1427377212yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—1181no—
1782D4—1181no—
1783D4—1181no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—4721no—
1801D4—4721no—
1802D4—2361no—
1803D4—2362no—
1804D4—2362no—
1805D4—2362no—
1806D4—2361no—
1807D4—2361no—
1808D4—2361no—
1809D4—2361no—
1810D4—2361no—
1811D4—2361no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4#1427377212yes—
1819C2×C4—24no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—81no—
1833C2×C4—81no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—591no—
1837C2×C4—591no—
1838C2×C4—591no—
1839C2×C4—591no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—4721no—
1853C2×C4—4721no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2361no—
1857C2×C4—2361no—
1858C2×C4—2362no—
1859C2×C4—2362no—
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—22no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—162no—
1894C22—162no—
1895C22—162no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—1181no—
1902C22—9442no—
1903C22—9442no—
1904C22—9442no—
1905C22—9442no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—1181no—
1924C4—1181no—
1925C4—1181no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—2361no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4C2×#1427377211yescharacteristic
1935C4C2×#1427377211yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—4721no—
1944C2—4721no—
1945C2—4721no—
1946C2—2361no—
1947C2—2361no—
1948C2#2143772511yescharacteristic
1949C2#2143887111yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3012C2
socleC22×C59C23×D4
hypercenter#3012D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #21438514C2semidirect
2. #21437870C2semidirect
3. #21436241C2semidirect
4. #21436233C2semidirect
5. #21436223C2semidirect
6. #21436215C2semidirect
7. #21436121C2semidirect
8. #21436113C2semidirect
9. #21436103C2semidirect
10. #21436095C2semidirect
11. #21435685C2semidirect
12. #21435681C2semidirect
13. #21435636C2semidirect
14. #21435629C2semidirect
15. #21435589C2semidirect
16. #21435585C2semidirect
17. #21435574C2semidirect
18. #21435570C2semidirect
19. #21435117C2semidirect
20. #21435112C2semidirect
21. #21434965C2semidirect
22. #21434959C2semidirect
23. #21434950C2semidirect
24. #21434942C2semidirect
25. #21434206C2semidirect
26. #21434198C2semidirect
27. #21433400C2semidirect
28. #21433370C2semidirect
29. #21433361C2semidirect
30. #21433165C2semidirect
31. C59×#3012C2semidirect
33. C2×#14273759C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273747C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×D8×D59C22semidirect
42. #16838104C22semidirect
43. #16838100C22semidirect
44. #16838094C22semidirect
45. #16838087C22semidirect
49. #16838071C22semidirect
50. #16838071C22semidirect
51. #16838062C22semidirect
52. #16838059C22semidirect
53. #16838049C22semidirect
54. #16838040C22semidirect
61. D4×C22⋊D59C22semidirect
62. D4×C22⋊D59C22semidirect
67. #16837980C22semidirect
68. #16837975C22semidirect
71. #16837968C22semidirect
73. #16837966C22semidirect
77. C2×#14273723C22semidirect
78. #16837938C22semidirect
79. #16837933C22semidirect
80. #41×Dic59C22semidirect
81. #16837790C22semidirect
82. #16837790C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837765C22semidirect
89. #16837744C22semidirect
90. #16837740C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837721C22semidirect
98. #16837720C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837711C22semidirect
102. #16837707C22semidirect
103. #16837704C22semidirect
104. #16837700C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837652C22semidirect
109. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837633C22semidirect
118. #16837631C22semidirect
119. #16837630C22semidirect
120. #16837628C22semidirect
121. #16837626C22semidirect
122. #16837622C22semidirect
123. #16837619C22semidirect
124. #16837615C22semidirect
125. #16837601C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837596C22semidirect
130. #16837596C22semidirect
131. #16837595C22semidirect
132. #16837595C22semidirect
133. #16837567C22semidirect
134. #16837564C22semidirect
135. #16837564C22semidirect
136. #16837563C22semidirect
137. #16837555C22semidirect
138. #16837554C22semidirect
139. #16837553C22semidirect
140. #16837553C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837550C22semidirect
144. #16837549C22semidirect
145. #16837549C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837547C22semidirect
150. #16837546C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837538C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837535C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837506C22semidirect
165. #16837505C22semidirect
166. #16837503C22semidirect
167. #16837503C22semidirect
168. #16837499C22semidirect
169. #16837476C22semidirect
170. #16837476C22semidirect
171. #16837473C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837456C22semidirect
178. #16837456C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837403C22semidirect
182. #16837397C22semidirect
183. #16837397C22semidirect
184. C2×#14273648C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×H(5,𝔽2)×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C2×#135×C59C22semidirect
191. C59×#537C22semidirect
192. C59×#452C22semidirect
193. C59×#452C22semidirect
194. C59×#450C22semidirect
195. C59×#450C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#447C22semidirect
200. C59×#417C22semidirect
201. C2×#102×C59C22semidirect
202. C59×#408C22semidirect
988. #3012D59semidirect
1008. C2×H(5,𝔽2)C2×D59semidirect
1012. C2×AGL(1,ℤ/8)C2×D59semidirect
1014. C2×#135C2×D59semidirect
1046. #537C2×D59semidirect
1116. #452C2×D59semidirect
1117. #452C2×D59semidirect
1124. #450C2×D59semidirect
1125. #450C2×D59semidirect
1135. #449C2×D59semidirect
1146. #447C2×D59semidirect
1147. #447C2×D59semidirect
1169. #417C2×D59semidirect
1173. C2×#102C2×D59semidirect
1177. #408C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385142
#214378702
#214362412
#214362332
#214362232
#214362152
#214361212
#214361132
#214361032
#214360952
#214356852
#214356812
#214356362
#214356292
#214355892
#214355852
#214355742
#214355702
#214351172
#214351122
#214349652
#214349592
#214349502
#214349422
#214342062
#214341982
#214334002
#214333702
#214333612
#214331652
C59×#30122
#6167559