Finite Group Databasebeta

← #29474169

Subgroups — #29474169

Order 15104.

2138 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437930C211yesmaximal, characteristic, complemented
2#41×C22⋊D59C211yesmaximal, characteristic, complemented
3#21436365C211yesmaximal, characteristic, complemented
4#21436313C211yesmaximal, characteristic, complemented
5#21436271C211yesmaximal, characteristic, complemented
6#21436241C211yesmaximal, characteristic, complemented
7#21436223C211yesmaximal, characteristic, complemented
8#21436193C211yesmaximal, characteristic, complemented
9#21436002C211yesmaximal, characteristic, complemented
10#21435950C211yesmaximal, characteristic, complemented
11#21435830C211yesmaximal, characteristic, complemented
12#21435807C211yesmaximal, characteristic, complemented
13#21435727C211yesmaximal, characteristic, complemented
14#21435701C211yesmaximal, characteristic, complemented
15#21435659C211yesmaximal, characteristic, complemented
16#21435630C211yesmaximal, characteristic, complemented
17#21435615C211yesmaximal, characteristic, complemented
18#21435595C211yesmaximal, characteristic, complemented
19#21435131C211yesmaximal, characteristic, complemented
20#21435069C211yesmaximal, characteristic, complemented
21#21434935C211yesmaximal, characteristic, complemented
22#21434928C211yesmaximal, characteristic, complemented
23#21434886C211yesmaximal, characteristic, complemented
24#21434861C211yesmaximal, characteristic, complemented
25#21434198C211yesmaximal, characteristic, complemented
26#21434107C211yesmaximal, characteristic, complemented
27#21433334C211yesmaximal, characteristic, complemented
28#21433311C211yesmaximal, characteristic, complemented
29C2×#16837564C211yesmaximal, characteristic, complemented
30#21433132C211yesmaximal, characteristic, complemented
31C59×#3006C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C2×#14273756C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic, complemented
37C22×#11745672C2211yescharacteristic, complemented
38C22×#11745670C2211yescharacteristic, complemented
39#16838104C2211yescharacteristic
40#16838104C2211yescharacteristic, complemented
41#16838095—21no—
42#16838095—21no—
43#16838087C2211yescharacteristic, complemented
44#16838087C2211yescharacteristic, complemented
45#16838078—21no—
46#16838078—21no—
47#16838071C2211yescharacteristic
48Q8×C22⋊D59C2211yescharacteristic, complemented
49#16838063C2211yescharacteristic, complemented
50#16838059C2211yescharacteristic
51#16838058C2211yescharacteristic
52#16838058C2211yescharacteristic, complemented
53#16838051—21no—
54#16838051C2211yescharacteristic
55#16838046—21no—
56#16838046C2211yescharacteristic, complemented
57#16838046C2211yescharacteristic, complemented
58#16838046C2211yescharacteristic, complemented
59#16838040—21no—
60#16838040C2211yescharacteristic
61D4×C22⋊D59—21no—
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16837997—21no—
64#16837989—21no—
65#16837961—21no—
66#16837948—21no—
67#16837948C2211yescharacteristic, complemented
68#16837933C2211yescharacteristic, complemented
69#16837933C2211yescharacteristic, complemented
70#16837913—21no—
71#16837913C2211yescharacteristic
72#16837912C2211yescharacteristic, complemented
73#16837912C2211yescharacteristic, complemented
74#16837909—21no—
75#16837909C2211yescharacteristic, complemented
76C2×#14273706C2211yescharacteristic, complemented
77#16837877—21no—
78#41×Dic59C2211yescharacteristic, complemented
79C2×C4×C22⋊D59—21no—
80C2×C4×C22⋊D59C2211yescharacteristic
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837720C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837660C2211yescharacteristic, complemented
107#16837659C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837567C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837566C2211yescharacteristic, complemented
136#16837565C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837564C2211yescharacteristic, complemented
139#16837564C2211yescharacteristic, complemented
140#16837564C2211yescharacteristic, complemented
141#16837564C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837564C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837560C2211yescharacteristic, complemented
148#16837559C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic, complemented
150#16837553C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837543C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837536C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168D8×Dic59C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C22×#41×C59C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
191C2×#121×C59C2211yescharacteristic, complemented
192C59×#449C2211yescharacteristic
193C59×#449C2211yescharacteristic
194C59×#449C2211yescharacteristic, complemented
195C59×#449C2211yescharacteristic, complemented
196C59×#448C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#407C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×#11745687C2311yescharacteristic
210#41×D59—42no—
211#41×D59—42no—
212C22×Dic118C2311yescharacteristic
213C2×Q8×D59C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C22⋊D59D411yescharacteristic
216C2×D4×D59—21no—
217C2×D4×D59C2311yescharacteristic
218C22×C4×D59—21no—
219C22×C4×D59C2311yescharacteristic
220#14273756—42no—
221#14273751—42no—
222#14273748—42no—
223#14273746—42no—
224C2×Dic236C2311yescharacteristic
225C2×Dic236C2311yescharacteristic
226C2×#11745672—42no—
227C2×#11745672C2311yescharacteristic
228C2×#11745672C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745672C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670—42no—
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273725—21no—
249#14273725C2311yescharacteristic
250#14273723—21no—
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273718C2311yescharacteristic
259#14273718C2311yescharacteristic
260#14273717—21no—
261#14273717—21no—
262#14273716—21no—
263#14273716C2311yescharacteristic
264#14273714—21no—
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273707C2311yescharacteristic
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273704—21no—
299#14273704—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic
324#14273698C2311yescharacteristic
325#14273698C2311yescharacteristic
326#14273696—21no—
327#14273696—21no—
328#14273696—21no—
329#14273696—21no—
330#14273696—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336Q8×Dic59C2311yescharacteristic
337Q8×Dic59C2311yescharacteristic
338#14273692C2311yescharacteristic
339#14273692C2311yescharacteristic
340D4×Dic59—21no—
341D4×Dic59—21no—
342D4×Dic59—21no—
343D4×Dic59—21no—
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59D411yescharacteristic
365C4×C22⋊D59D411yescharacteristic
366C4×C22⋊D59D411yescharacteristic
367C4×C22⋊D59D411yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686—21no—
375#14273686—21no—
376#14273686—21no—
377#14273686C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4—21no—
385C2×Dic59⋊C4D411yescharacteristic
386C2×C22⋊Dic59—21no—
387C2×C22⋊Dic59—21no—
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59D411yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4D411yescharacteristic
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#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
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
443C2×#41×C59—21no—
444C2×#41×C59—21no—
445C2×#41×C59—42no—
446C2×#41×C59—42no—
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C22×Q8×C59C2311yescharacteristic
452C22×D4×C59—21no—
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C23×C4×C59—21no—
457C23×C4×C59C2311yescharacteristic
458AGL(1,ℤ/8)×C59—42no—
459AGL(1,ℤ/8)×C59—42no—
460C2×SD16×C59C2311yescharacteristic
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×D8×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×D8×C59C2311yescharacteristic
468C2×M16×C59C2311yescharacteristic
469C2×M16×C59C2311yescharacteristic
470#121×C59—21no—
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474#121×C59C2311yescharacteristic
475#121×C59C2311yescharacteristic
476C2×C4⋊C4×C59C2311yescharacteristic
477C2×C22⋊C4×C59—21no—
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×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×C59C2×D411yescharacteristic
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—44no—
504#41×C59—44no—
505C2×Q8×C59—21no—
506C2×Q8×C59—22no—
507C2×Q8×C59—41no—
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×D4×C59—21no—
511C2×D4×C59—22no—
512C2×D4×C59—21no—
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—44no—
525C2×D4×C59—44no—
526C2×D4×C59C2411yescharacteristic
527C2×D4×C59C2411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—41no—
537C22×C4×C59—41no—
538C22×C4×C59—44no—
539C22×C4×C59C2×D411yescharacteristic
540C22×C4×C59C2×D411yescharacteristic
541C22×C4×C59C2×D411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
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—42no—
559C2×C22⋊D59—44no—
560C2×C22⋊D59C2×D411yescharacteristic
561C2×C22⋊D59C2×D411yescharacteristic
562C2×C22⋊D59C2×D411yescharacteristic
563C2×C22⋊D59C2×D411yescharacteristic
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568C22×Dic59—21no—
569C22×Dic59—21no—
570C22×Dic59—21no—
571C22×Dic59—21no—
572C22×Dic59—21no—
573C22×Dic59C2×D411yescharacteristic
574C22×Dic59C2×D411yescharacteristic
575C22×Dic59C2×D411yescharacteristic
576#11745689—22no—
577#11745689—41no—
578Q8×D59—22no—
579Q8×D59—41no—
580#11745687—22no—
581#11745687—41no—
582#11745687—41no—
583#11745687—41no—
584#11745687—41no—
585#11745687—41no—
586#11745687—44no—
587D4×D59—22no—
588D4×D59—41no—
589D4×D59—44no—
590#11745685—41no—
591#11745685—41no—
592#11745685—44no—
593C2×D236—21no—
594C2×D236C2411yescharacteristic
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—44no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×Dic118—21no—
606C2×Dic118—21no—
607C2×Dic118—41no—
608C2×Dic118—41no—
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612SD16×C59—22no—
613SD16×C59—22no—
614SD16×C59—41no—
615SD16×C59—41no—
616D8×C59—22no—
617D8×C59—22no—
618D8×C59—41no—
619D8×C59—41no—
620M16×C59—41no—
621M16×C59—41no—
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C4⋊C4×C59—21no—
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59C2×D411yescharacteristic
655C22⋊Dic59C2×D411yescharacteristic
656C22⋊Dic59C2×D411yescharacteristic
657C22⋊Dic59C2×D411yescharacteristic
658#11745672—22no—
659#11745672—22no—
660#11745672—41no—
661#11745672—41no—
662#11745670—22no—
663#11745670—22no—
664#11745670—41no—
665#11745670—41no—
666#11745670—41no—
667#11745670—41no—
668#11745669—41no—
669#11745669—41no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59C2411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2×D411yescharacteristic
722C4×Dic59C2411yescharacteristic
723C4×Dic59C2411yescharacteristic
724C2×C59⋊C8—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730Dic236—41no—
731Dic236—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—22no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—41no—
744C23×C59—41no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C23×C59C22×D411yescharacteristic
754C22×D59—21no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—42no—
767Q8×C59H(5,𝔽2)12yes—
768D4×C59—24no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—81no—
785D4×C59H(5,𝔽2)12yes—
786C2×C4×C59—24no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—41no—
798C2×C4×C59—41no—
799C2×C4×C59—41no—
800C2×C4×C59—42no—
801C2×C4×C59—42no—
802C2×C4×C59—42no—
803C2×C4×C59—42no—
804C2×C4×C59—42no—
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C2511yescharacteristic
809C22⋊D59—22no—
810C22⋊D59—22no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—41no—
834C2×Dic59—41no—
835C2×Dic59—41no—
836C2×Dic59—42no—
837C2×Dic59—42no—
838C2×Dic59—81no—
839C2×Dic59—81no—
840C2×Dic59—81no—
841C2×Dic59—81no—
842C2×Dic59—81no—
843C2×Dic59—81no—
844C2×Dic59—81no—
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851D236—21no—
852D236—21no—
853D236—42no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—41no—
859C4×D59—41no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—42no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—22no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—82no—
901C22×C59—84no—
902C22×C59—162no—
903C22×C59#57512yes—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—82no—
915C2×D59—84no—
916C4×C59—22no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59C2×H(5,𝔽2)11yescharacteristic
924C4×C59C2×H(5,𝔽2)11yescharacteristic
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285—591no—
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191—591no—
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006D5911yescharacteristic, complemented
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—42no—
972C2×C59—41no—
973C2×C59—81no—
974C2×C59—81no—
975C2×C59—81no—
976C2×C59#348411yescharacteristic
977C2×C59C2×#57511yescharacteristic
978C2×C59#358411yescharacteristic
979D59—41no—
980D59—41no—
981D59—81no—
982C22×#41—591no—
983C22×#41C2×D5911yescharacteristic
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
987C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
988C2×#135—591no—
989C2×#135—591no—
990C22×Q16—591no—
991C22×SD16—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121C2×D5911yescharacteristic, complemented
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#466—591no—
1069#466—591no—
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449C2×D5911yescharacteristic
1112#449C2×D5911yescharacteristic
1113#449C2×D5911yescharacteristic, complemented
1114#449C2×D5911yescharacteristic, complemented
1115#448—591no—
1116#448—591no—
1117#448C2×D5911yescharacteristic, complemented
1118#448C2×D5911yescharacteristic, complemented
1119#447—591no—
1120#447—591no—
1121#447C2×D5911yescharacteristic, complemented
1122#447C2×D5911yescharacteristic, complemented
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417C2×D5911yescharacteristic, complemented
1144#417C2×D5911yescharacteristic, complemented
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407C2×D5911yescharacteristic, complemented
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41C22×D5911yescharacteristic
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4C22×D5911yescharacteristic
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—21no—
1183C23×C4—591no—
1184C23×C4—1181no—
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187AGL(1,ℤ/8)—42no—
1188AGL(1,ℤ/8)—42no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16—2362no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—2362no—
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8C22×D5911yescharacteristic
1215C2×D8C22×D5911yescharacteristic
1216C2×D8C22×D5911yescharacteristic
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16C22×D5911yescharacteristic
1221C2×M16C22×D5911yescharacteristic
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282#121—21no—
1283#121—21no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121C22×D5911yescharacteristic
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4C22×D5911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—591no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8C22×D5911yescharacteristic
1434C22⋊C8C22×D5911yescharacteristic
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—21no—
1443C24—591no—
1444C24—1181no—
1445C24D4×D5911yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—1182no—
1457#41—1182no—
1458#41—2361no—
1459#41—2361no—
1460#41—2364no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—591no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1182no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1182no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—2361no—
1519C2×D4—2364no—
1520C2×D4—2362no—
1521C2×D4—2364no—
1522C2×D4C23×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—44no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—2361no—
1555C22×C4—2361no—
1556C22×C4—2364no—
1557C22×C4D4×D5911yescharacteristic
1558C22×C4D4×D5911yescharacteristic
1559C22×C4D4×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—22no—
1582D8—22no—
1583D8—41no—
1584D8—41no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—41no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—591no—
1592C2×C8—591no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—2361no—
1596C2×C8—2361no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—591no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C42—591no—
1679C42—591no—
1680C42—591no—
1681C42—591no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42—1181no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—591no—
1703C23—591no—
1704C23—1181no—
1705C23—4721no—
1706C23—2361no—
1707C23—2361no—
1708C23—2361no—
1709C23—2362no—
1710C23—2362no—
1711C23C2×D4×D5911yescharacteristic
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—42no—
1718Q8—1181no—
1719Q8—1181no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—2362no—
1726Q8#1427377212yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—81no—
1744D4—1182no—
1745D4—1182no—
1746D4—1181no—
1747D4—1181no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—2362no—
1756D4—2361no—
1757D4—2361no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4#1427377212yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—591no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—4721no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—2361no—
1809C2×C4—2361no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4—2362no—
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—82no—
1851C22—84no—
1852C22—162no—
1853C22—1181no—
1854C22—1181no—
1855C22—1181no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—4724no—
1860C22—4722no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683819812yes—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—1181no—
1874C4—1181no—
1875C4—1181no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—2361no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4C2×#1427377211yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—4721no—
1896C2—2361no—
1897C2—2361no—
1898C2#2143772511yescharacteristic
1899C2C2×#1683819811yescharacteristic
1900C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3006C2
socleC22×C59C23×D4
hypercenter#3006D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. #21437930C2semidirect
2. #41×C22⋊D59C2semidirect
3. #21436365C2semidirect
4. #21436313C2semidirect
5. #21436271C2semidirect
6. #21436241C2semidirect
7. #21436223C2semidirect
8. #21436193C2semidirect
9. #21436002C2semidirect
10. #21435950C2semidirect
11. #21435830C2semidirect
12. #21435807C2semidirect
13. #21435727C2semidirect
14. #21435701C2semidirect
15. #21435659C2semidirect
16. #21435630C2semidirect
17. #21435615C2semidirect
18. #21435595C2semidirect
19. #21435131C2semidirect
20. #21435069C2semidirect
21. #21434935C2semidirect
22. #21434928C2semidirect
23. #21434886C2semidirect
24. #21434861C2semidirect
25. #21434198C2semidirect
26. #21434107C2semidirect
27. #21433334C2semidirect
28. #21433311C2semidirect
29. C2×#16837564C2semidirect
30. #21433132C2semidirect
31. C59×#3006C2semidirect
32. C2×#41×D59C22semidirect
33. C2×#14273756C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273748C22semidirect
36. C2×#14273746C22semidirect
37. C22×#11745672C22semidirect
38. C22×#11745670C22semidirect
40. #16838104C22semidirect
43. #16838087C22semidirect
44. #16838087C22semidirect
48. Q8×C22⋊D59C22semidirect
49. #16838063C22semidirect
52. #16838058C22semidirect
56. #16838046C22semidirect
57. #16838046C22semidirect
58. #16838046C22semidirect
62. D4×C22⋊D59C22semidirect
67. #16837948C22semidirect
68. #16837933C22semidirect
69. #16837933C22semidirect
72. #16837912C22semidirect
73. #16837912C22semidirect
75. #16837909C22semidirect
76. C2×#14273706C22semidirect
78. #41×Dic59C22semidirect
81. #16837793C22semidirect
82. #16837790C22semidirect
83. #16837785C22semidirect
84. #16837783C22semidirect
85. #16837769C22semidirect
86. #16837765C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837744C22semidirect
90. #16837744C22semidirect
91. #16837742C22semidirect
92. #16837741C22semidirect
93. #16837738C22semidirect
94. #16837737C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837723C22semidirect
99. #16837721C22semidirect
100. #16837720C22semidirect
101. #16837711C22semidirect
102. #16837707C22semidirect
103. #16837704C22semidirect
104. #16837700C22semidirect
105. #16837660C22semidirect
106. #16837660C22semidirect
107. #16837659C22semidirect
108. #16837652C22semidirect
109. #16837648C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
112. #16837645C22semidirect
113. #16837642C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837630C22semidirect
118. #16837629C22semidirect
119. #16837629C22semidirect
120. #16837628C22semidirect
121. #16837627C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837619C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837611C22semidirect
130. #16837605C22semidirect
131. #16837601C22semidirect
132. #16837595C22semidirect
133. #16837567C22semidirect
134. #16837566C22semidirect
135. #16837566C22semidirect
136. #16837565C22semidirect
137. #16837564C22semidirect
138. #16837564C22semidirect
139. #16837564C22semidirect
140. #16837564C22semidirect
141. #16837564C22semidirect
142. #16837564C22semidirect
143. #16837564C22semidirect
144. #16837564C22semidirect
145. #16837561C22semidirect
146. #16837561C22semidirect
147. #16837560C22semidirect
148. #16837559C22semidirect
149. #16837554C22semidirect
150. #16837553C22semidirect
151. #16837546C22semidirect
152. #16837545C22semidirect
153. #16837545C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837544C22semidirect
157. #16837543C22semidirect
158. #16837539C22semidirect
159. #16837536C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837506C22semidirect
163. #16837503C22semidirect
164. #16837499C22semidirect
165. #16837494C22semidirect
166. #16837493C22semidirect
167. SD16×Dic59C22semidirect
168. D8×Dic59C22semidirect
169. #16837478C22semidirect
170. #16837478C22semidirect
171. #16837471C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837470C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837409C22semidirect
180. #16837405C22semidirect
181. #16837397C22semidirect
182. #16837395C22semidirect
183. C2×#14273651C22semidirect
184. C2×#14273648C22semidirect
185. #16837364C22semidirect
186. C2×C22⋊(C59⋊C8)C22semidirect
187. C22⋊C8×D59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C2×#121×C59C22semidirect
194. C59×#449C22semidirect
195. C59×#449C22semidirect
196. C59×#448C22semidirect
197. C59×#448C22semidirect
198. C59×#447C22semidirect
199. C59×#447C22semidirect
200. C59×#417C22semidirect
201. C59×#417C22semidirect
202. C59×#407C22semidirect
964. #3006D59semidirect
986. C2×AGL(1,ℤ/8)C2×D59semidirect
987. C2×AGL(1,ℤ/8)C2×D59semidirect
1030. C2×#121C2×D59semidirect
1113. #449C2×D59semidirect
1114. #449C2×D59semidirect
1117. #448C2×D59semidirect
1118. #448C2×D59semidirect
1121. #447C2×D59semidirect
1122. #447C2×D59semidirect
1143. #417C2×D59semidirect
1144. #417C2×D59semidirect
1150. #407C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
#214379302
#41×C22⋊D592
#214363652
#214363132
#214362712
#214362412
#214362232
#214361932
#214360022
#214359502
#214358302
#214358072
#214357272
#214357012
#214356592
#214356302
#214356152
#214355952
#214351312
#214350692
#214349352
#214349282
#214348862
#214348612
#214341982
#214341072
#214333342
#214333112
C2×#168375642
#214331322
C59×#30062
#6160659