Finite Group Databasebeta

← #29474586

Subgroups — #29474586

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438314C211yesmaximal, characteristic, complemented
2#21437758C211yesmaximal, characteristic, complemented
3#21436419C211yesmaximal, characteristic, complemented
4#21436416C211yesmaximal, characteristic, complemented
5#21436208C211yesmaximal, characteristic, complemented
6#21436200C211yesmaximal, characteristic, complemented
7#21436061C211yesmaximal, characteristic, complemented
8#21436053C211yesmaximal, characteristic, complemented
9#21435916C211yesmaximal, characteristic, complemented
10#21435913C211yesmaximal, characteristic, complemented
11#21435806C211yesmaximal, characteristic, complemented
12#21435797C211yesmaximal, characteristic, complemented
13#21435731C211yesmaximal, characteristic, complemented
14#21435727C211yesmaximal, characteristic, complemented
15#21435685C211yesmaximal, characteristic, complemented
16#21435681C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435194C211yesmaximal, characteristic, complemented
20#21435186C211yesmaximal, characteristic, complemented
21#21435008C211yesmaximal, characteristic, complemented
22#21435002C211yesmaximal, characteristic, complemented
23#21434894C211yesmaximal, characteristic, complemented
24#21434850C211yesmaximal, characteristic, complemented
25#21434374C211yesmaximal, characteristic, complemented
26#21434366C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433353C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433139C211yesmaximal, characteristic, complemented
31C59×#3012C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39#16838147—21no—
40#16838147—21no—
41#16838110C2211yescharacteristic, complemented
42#16838107C2211yescharacteristic, complemented
43#16838071C2211yescharacteristic, complemented
44#16838071C2211yescharacteristic, complemented
45#16838062C2211yescharacteristic, complemented
46#16838059C2211yescharacteristic
47#16838059C2211yescharacteristic
48#16838059C2211yescharacteristic, complemented
49#16838053C2211yescharacteristic, complemented
50#16838052C2211yescharacteristic, complemented
51#16838049—21no—
52#16838049C2211yescharacteristic, complemented
53#16838046—21no—
54#16838046—21no—
55#16838046C2211yescharacteristic, complemented
56#16838046C2211yescharacteristic, complemented
57#16838041—21no—
58#16838040C2211yescharacteristic, complemented
59D4×C22⋊D59—21no—
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838027—21no—
64#16838025C2211yescharacteristic, complemented
65#16838019C2211yescharacteristic, complemented
66#16837998—21no—
67#16837984—21no—
68#16837981—21no—
69#16837980—21no—
70#16837980C2211yescharacteristic, complemented
71#16837980C2211yescharacteristic, complemented
72#16837969—21no—
73#16837969C2211yescharacteristic, complemented
74#16837909—21no—
75#16837909C2211yescharacteristic
76C22⋊Q8×D59C2211yescharacteristic, complemented
77C2×#14273698—21no—
78C2×#14273698C2211yescharacteristic
79#121×D59C2211yescharacteristic, complemented
80#16837885C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837733C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837564C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837559C2211yescharacteristic, complemented
140#16837556C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic, complemented
142#16837553C2211yescharacteristic, complemented
143#16837553C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic
150#16837547C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, 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
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C2×Q8×D59C2311yescharacteristic
214C2×Q8×D59C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59C2311yescharacteristic
224#14273759—42no—
225#14273756—42no—
226#14273753—42no—
227#14273747—42no—
228C2×Dic236C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745672C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239SD16×D59—42no—
240C2×D472C2311yescharacteristic
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#14273726C2311yescharacteristic
253#14273726C2311yescharacteristic
254#14273723—21no—
255#14273723—21no—
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273722—21no—
259#14273720—21no—
260#14273717—21no—
261#14273717—21no—
262#14273716C2311yescharacteristic
263#14273714—21no—
264#14273714—21no—
265#14273714—21no—
266#14273714—21no—
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273712—21no—
273#14273710—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273708—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708D411yescharacteristic
283#14273708D411yescharacteristic
284#14273707—21no—
285#14273707—21no—
286#14273707C2311yescharacteristic
287#14273706—21no—
288#14273706—21no—
289#14273706—21no—
290#14273706—21no—
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703D411yescharacteristic
306#14273703D411yescharacteristic
307#14273703C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273701C2311yescharacteristic
315#14273700—21no—
316#14273700—21no—
317#14273699—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#14273699—21no—
327#14273698—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#14273698—21no—
339#14273698D411yescharacteristic
340#14273698D411yescharacteristic
341#14273698C2311yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273696—21no—
351#14273696—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695D411yescharacteristic
357#14273695D411yescharacteristic
358Q8×Dic59C2311yescharacteristic
359Q8×Dic59C2311yescharacteristic
360Q8×Dic59C2311yescharacteristic
361#14273692C2311yescharacteristic
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
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#14273686—21no—
381#14273686C2311yescharacteristic
382C2×C4⋊Dic59—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C2×C4⋊Dic59C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
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#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
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
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×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—44no—
505#41×C59—41no—
506#41×C59—41no—
507C2×Q8×C59C2×D411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×D4×C59—21no—
511C2×D4×C59—22no—
512C2×D4×C59—22no—
513C2×D4×C59—21no—
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—41no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—41no—
525C2×D4×C59—44no—
526C2×D4×C59—44no—
527C2×D4×C59—44no—
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
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—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—82no—
562C2×C22⋊D59—82no—
563C2×C22⋊D59—82no—
564C2×C22⋊D59C2×D411yescharacteristic
565C2×C22⋊D59C2×D411yescharacteristic
566C2×C22⋊D59C2×D411yescharacteristic
567C2×C22⋊D59C2×D411yescharacteristic
568C22×Dic59—21no—
569C22×Dic59—21no—
570C22×Dic59—21no—
571C22×Dic59—21no—
572C22×Dic59—21no—
573C22×Dic59—21no—
574C22×Dic59C2×D411yescharacteristic
575#11745689—22no—
576#11745689—41no—
577Q8×D59—22no—
578Q8×D59—41no—
579Q8×D59—41no—
580Q8×D59—41no—
581#11745687—22no—
582#11745687—41no—
583#11745687—44no—
584#11745687—82no—
585D4×D59—22no—
586D4×D59—41no—
587D4×D59—41no—
588D4×D59—41no—
589D4×D59—44no—
590D4×D59—82no—
591#11745685—41no—
592#11745685—41no—
593#11745685—41no—
594#11745685—41no—
595#11745685—44no—
596#11745685—82no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—41no—
610C2×C4×D59—41no—
611C2×C4×D59—44no—
612C2×C4×D59C2×D411yescharacteristic
613C2×C4×D59C2×D411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×C4×D59C2411yescharacteristic
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—21no—
619C2×Dic118—21no—
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—22no—
623SD16×C59—22no—
624SD16×C59—22no—
625SD16×C59—41no—
626SD16×C59—41no—
627D8×C59—22no—
628D8×C59—41no—
629D8×C59—41no—
630M16×C59—41no—
631C2×C8×C59—41no—
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—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⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59C2×D411yescharacteristic
664C22⋊Dic59C2×D411yescharacteristic
665C22⋊Dic59C2×D411yescharacteristic
666C22⋊Dic59C2×D411yescharacteristic
667C22⋊Dic59C2×D411yescharacteristic
668C22⋊Dic59C2×D411yescharacteristic
669#11745672—22no—
670#11745672—41no—
671#11745671—22no—
672#11745671—41no—
673#11745670—22no—
674#11745670—41no—
675#11745670—41no—
676#11745670—41no—
677#11745669—22no—
678#11745669—41no—
679#11745669—41no—
680#11745669—41no—
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⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59C2411yescharacteristic
726C4×Dic59C2411yescharacteristic
727#11745664—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733Dic236—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—22no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—41no—
761C22×D59—41no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—41no—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—24no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—42no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—42no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59H(5,𝔽2)12yes—
795C2×C4×C59—24no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
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—42no—
807C2×C4×C59—42no—
808C2×C4×C59—81no—
809C2×C4×C59—81no—
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C2511yescharacteristic
814C22⋊D59—22no—
815C22⋊D59—22no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—41no—
843C2×Dic59—42no—
844C2×Dic59—81no—
845C2×Dic59—81no—
846C2×Dic59—81no—
847C2×Dic59—81no—
848C2×Dic59—81no—
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—42no—
860D236—42no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—41no—
866C4×D59—41no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—42no—
870C4×D59—42no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—21no—
879Dic118—42no—
880Dic118—81no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61623—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—22no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—162no—
914C22×C59—162no—
915C22×C59—162no—
916C22×C59C23×D411yescharacteristic
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—82no—
929C2×D59—84no—
930C2×D59—162no—
931C2×D59#57712yes—
932C4×C59—22no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940C4×C59C2×H(5,𝔽2)11yescharacteristic
941Dic59—21no—
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3332—591no—
956#3332—591no—
957#3316—591no—
958#3316—591no—
959#3306—591no—
960#3306—591no—
961#3295—591no—
962#3295—591no—
963#3282—591no—
964#3282—591no—
965#3275—591no—
966#3275—591no—
967#3271—591no—
968#3271—591no—
969#3264—591no—
970#3264—591no—
971#3224—591no—
972#3224—591no—
973#3204—591no—
974#3204—591no—
975#3192—591no—
976#3187—591no—
977#3125—591no—
978#3125—591no—
979#3012—591no—
980#3012D5911yescharacteristic, complemented
981#3007—591no—
982C2×#449—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—42no—
986C2×C59—41no—
987C2×C59—41no—
988C2×C59—81no—
989C2×C59—81no—
990C2×C59—81no—
991C2×C59#348411yescharacteristic
992C2×C59C2×#57711yescharacteristic
993C2×C59#358511yescharacteristic
994D59—22no—
995D59—41no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
999C22×#41—591no—
1000C2×#137—591no—
1001C2×#137—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1004C2×#135—591no—
1005C2×#135C2×D5911yescharacteristic, complemented
1006C22×SD16—591no—
1007C22×D8—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550—591no—
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—591no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542—591no—
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—591no—
1039#537—1181no—
1040#537—1181no—
1041#537C2×D5911yescharacteristic, complemented
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520—591no—
1051#496—591no—
1052#496—591no—
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486—591no—
1059#483—591no—
1060#483—591no—
1061#483—591no—
1062#483—591no—
1063#481—591no—
1064#481—591no—
1065#481—591no—
1066#481—591no—
1067#481—591no—
1068#481—591no—
1069#481—591no—
1070#481—591no—
1071#476—591no—
1072#476—591no—
1073#475—591no—
1074#475—591no—
1075#470—591no—
1076#470—591no—
1077#469—591no—
1078#469—591no—
1079#469—591no—
1080#469—591no—
1081#469—591no—
1082#469—591no—
1083#465—591no—
1084#465—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#465—591no—
1090#465—591no—
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464—591no—
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463—591no—
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452C2×D5911yescharacteristic, complemented
1110#452C2×D5911yescharacteristic, complemented
1111#451—591no—
1112#451—591no—
1113#450—591no—
1114#450—591no—
1115#450—591no—
1116#450—591no—
1117#450C2×D5911yescharacteristic, complemented
1118#450C2×D5911yescharacteristic, complemented
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449C2×D5911yescharacteristic
1130#449C2×D5911yescharacteristic, complemented
1131#448—591no—
1132#448—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447C2×D5911yescharacteristic, complemented
1138#447C2×D5911yescharacteristic, complemented
1139#442—591no—
1140#442—591no—
1141#441—591no—
1142#441—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146C4×SD16—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417C2×D5911yescharacteristic, complemented
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102C2×D5911yescharacteristic, complemented
1165#408—591no—
1166#408C2×D5911yescharacteristic, complemented
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162311yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—42no—
1171H(5,𝔽2)—42no—
1172C2×#41—21no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—2362no—
1182C2×#41—2362no—
1183C2×#41C22×D5911yescharacteristic
1184C2×#41C22×D5911yescharacteristic
1185C2×#41C22×D5911yescharacteristic
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8—591no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4C22×D5911yescharacteristic
1201C22×D4C22×D5911yescharacteristic
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—591no—
1204C23×C4—1181no—
1205#137—2362no—
1206#137—2362no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—2362no—
1209#135—42no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16C22×D5911yescharacteristic
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—2362no—
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×D8—591no—
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—2362no—
1234C2×D8C22×D5911yescharacteristic
1235C2×D8C22×D5911yescharacteristic
1236C2×D8C22×D5911yescharacteristic
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8C22×D5911yescharacteristic
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247#127—591no—
1248#127—591no—
1249#127—1181no—
1250#127—1181no—
1251#126—1181no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—591no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#123—591no—
1266#123—591no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8C22×D5911yescharacteristic
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#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#121C22×D5911yescharacteristic
1346#121C22×D5911yescharacteristic
1347#120—591no—
1348#120—591no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—591no—
1362C4×Q8—591no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#106—591no—
1398#106—591no—
1399#106—591no—
1400#106—591no—
1401#106—591no—
1402#106—591no—
1403#106—591no—
1404#106—591no—
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103—591no—
1418#103—591no—
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102C22×D5911yescharacteristic
1436#102C22×D5911yescharacteristic
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8C22×D5911yescharacteristic
1450C22⋊C8C22×D5911yescharacteristic
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97—591no—
1455C4×C8—591no—
1456C4×C8—591no—
1457C24—21no—
1458C24—21no—
1459C24—21no—
1460C24—591no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—44no—
1472#41—41no—
1473#41—41no—
1474#41—1182no—
1475#41—1182no—
1476#41—4722no—
1477#41—4722no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2364no—
1483#41—2361no—
1484#41—2361no—
1485#41—2364no—
1486C2×Q8—591no—
1487C2×Q8—591no—
1488C2×Q8—1181no—
1489C2×Q8—1181no—
1490C2×Q8—1181no—
1491C2×Q8—1181no—
1492C2×Q8—1182no—
1493C2×Q8—2361no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8D4×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1182no—
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—1181no—
1544C2×D4—4722no—
1545C2×D4—4722no—
1546C2×D4—4722no—
1547C2×D4—4722no—
1548C2×D4—2361no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2364no—
1552C2×D4D4×D5911yescharacteristic
1553C2×D4D4×D5911yescharacteristic
1554C2×D4D4×D5911yescharacteristic
1555C2×D4C23×D5911yescharacteristic
1556C2×D4C23×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—2361no—
1584C22×C4—2361no—
1585C22×C4—2364no—
1586C22×C4C23×D5911yescharacteristic
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—22no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—22no—
1595SD16—41no—
1596SD16—41no—
1597SD16—1182no—
1598SD16—1182no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—22no—
1606D8—41no—
1607D8—41no—
1608D8—1182no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—41no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—591no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—591no—
1665C22⋊C4—591no—
1666C22⋊C4—591no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊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—
1702C42—591no—
1703C42—591no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42—1181no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—42no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—591no—
1722C23—591no—
1723C23—1182no—
1724C23—1181no—
1725C23—1181no—
1726C23—4721no—
1727C23—4721no—
1728C23—4721no—
1729C23—2361no—
1730C23—2361no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23C2×D4×D5911yescharacteristic
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—41no—
1741Q8—1181no—
1742Q8—1181no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—4721no—
1746Q8—4721no—
1747Q8—4721no—
1748Q8—2362no—
1749Q8#1427377212yes—
1750D4—24no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—41no—
1759D4—41no—
1760D4—41no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—1182no—
1770D4—1182no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—2362no—
1788D4—2362no—
1789D4—2361no—
1790D4—2361no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4#1427377212yes—
1798C2×C4—24no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—591no—
1818C2×C4—591no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—4721no—
1838C2×C4—2361no—
1839C2×C4—2361no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2361no—
1845C2×C4—2362no—
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—22no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—162no—
1880C22—162no—
1881C22—162no—
1882C22—592no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—9442no—
1889C22—4724no—
1890C22—4722no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—1181no—
1906C4—1181no—
1907C4—1181no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—2361no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4C2×#1427377211yescharacteristic
1918C4C2×#1427377211yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—41no—
1922C2—42no—
1923C2—81no—
1924C2—81no—
1925C2—81no—
1926C2—1182no—
1927C2—4721no—
1928C2—4721no—
1929C2—2361no—
1930C2#2143772511yescharacteristic
1931C2#577×D5911yescharacteristic
1932C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3012C2
socleC22×C59C23×D4
hypercenter#3012D59
hypocenterC59#61623
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. #21438314C2semidirect
2. #21437758C2semidirect
3. #21436419C2semidirect
4. #21436416C2semidirect
5. #21436208C2semidirect
6. #21436200C2semidirect
7. #21436061C2semidirect
8. #21436053C2semidirect
9. #21435916C2semidirect
10. #21435913C2semidirect
11. #21435806C2semidirect
12. #21435797C2semidirect
13. #21435731C2semidirect
14. #21435727C2semidirect
15. #21435685C2semidirect
16. #21435681C2semidirect
17. #21435574C2semidirect
18. #21435570C2semidirect
19. #21435194C2semidirect
20. #21435186C2semidirect
21. #21435008C2semidirect
22. #21435002C2semidirect
23. #21434894C2semidirect
24. #21434850C2semidirect
25. #21434374C2semidirect
26. #21434366C2semidirect
27. #21433400C2semidirect
28. #21433353C2semidirect
29. #449×D59C2semidirect
30. #21433139C2semidirect
31. C59×#3012C2semidirect
33. C2×#14273759C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273747C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×D8×D59C22semidirect
41. #16838110C22semidirect
42. #16838107C22semidirect
43. #16838071C22semidirect
44. #16838071C22semidirect
45. #16838062C22semidirect
48. #16838059C22semidirect
49. #16838053C22semidirect
50. #16838052C22semidirect
52. #16838049C22semidirect
55. #16838046C22semidirect
56. #16838046C22semidirect
58. #16838040C22semidirect
64. #16838025C22semidirect
65. #16838019C22semidirect
70. #16837980C22semidirect
71. #16837980C22semidirect
73. #16837969C22semidirect
76. C22⋊Q8×D59C22semidirect
79. #121×D59C22semidirect
80. #16837885C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837785C22semidirect
84. #16837783C22semidirect
85. #16837760C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837733C22semidirect
90. #16837733C22semidirect
91. #16837732C22semidirect
92. #16837730C22semidirect
93. #16837721C22semidirect
94. #16837721C22semidirect
95. #16837720C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837685C22semidirect
104. #16837685C22semidirect
105. #16837660C22semidirect
106. #16837658C22semidirect
107. #16837655C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837653C22semidirect
111. #16837652C22semidirect
112. #16837652C22semidirect
113. #16837633C22semidirect
114. #16837631C22semidirect
115. #16837631C22semidirect
116. #16837630C22semidirect
117. #16837630C22semidirect
118. #16837629C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
121. #16837626C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837619C22semidirect
126. #16837616C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837601C22semidirect
130. #16837600C22semidirect
131. #16837596C22semidirect
132. #16837595C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
135. #16837564C22semidirect
136. #16837564C22semidirect
137. #16837564C22semidirect
138. #16837562C22semidirect
139. #16837559C22semidirect
140. #16837556C22semidirect
141. #16837554C22semidirect
142. #16837553C22semidirect
143. #16837553C22semidirect
144. #16837551C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837549C22semidirect
148. #16837548C22semidirect
150. #16837547C22semidirect
151. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837545C22semidirect
154. #16837544C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837536C22semidirect
158. #16837536C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837506C22semidirect
165. #16837493C22semidirect
166. SD16×Dic59C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837460C22semidirect
178. #16837460C22semidirect
179. #16837403C22semidirect
180. #16837402C22semidirect
181. #16837400C22semidirect
182. #103×D59C22semidirect
183. C2×#14273648C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
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
980. #3012D59semidirect
998. C2×H(5,𝔽2)C2×D59semidirect
1003. C2×AGL(1,ℤ/8)C2×D59semidirect
1005. C2×#135C2×D59semidirect
1041. #537C2×D59semidirect
1109. #452C2×D59semidirect
1110. #452C2×D59semidirect
1117. #450C2×D59semidirect
1118. #450C2×D59semidirect
1130. #449C2×D59semidirect
1137. #447C2×D59semidirect
1138. #447C2×D59semidirect
1160. #417C2×D59semidirect
1164. C2×#102C2×D59semidirect
1166. #408C2×D59semidirect
1169. C59#61623semidirect

Maximal subgroups

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

subgroupindex
#214383142
#214377582
#214364192
#214364162
#214362082
#214362002
#214360612
#214360532
#214359162
#214359132
#214358062
#214357972
#214357312
#214357272
#214356852
#214356812
#214355742
#214355702
#214351942
#214351862
#214350082
#214350022
#214348942
#214348502
#214343742
#214343662
#214334002
#214333532
#449×D592
#214331392
C59×#30122
#6162359