Finite Group Databasebeta

← #29470599

Subgroups — #29470599

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437703C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437141C211yesmaximal, characteristic, complemented
4#21436998C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436800C211yesmaximal, characteristic, complemented
7#21436569C211yesmaximal, characteristic, complemented
8#21436560C211yesmaximal, characteristic, complemented
9#21436451C211yesmaximal, characteristic, complemented
10#21436238C211yesmaximal, characteristic, complemented
11#21436059C211yesmaximal, characteristic, complemented
12#21436052C211yesmaximal, characteristic, complemented
13#21435916C211yesmaximal, characteristic, complemented
14#21435904C211yesmaximal, characteristic, complemented
15#21435766C211yesmaximal, characteristic, complemented
16#21435574C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21434829C211yesmaximal, characteristic, complemented
19#21434793C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434242C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434229C211yesmaximal, characteristic, complemented
24#21434186C211yesmaximal, characteristic, complemented
25#21434184C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432900C211yesmaximal, characteristic, complemented
29C2×#16837511C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×#14273753C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838135C2211yescharacteristic, complemented
37#16838108C2211yescharacteristic, complemented
38#16838107C2211yescharacteristic, complemented
39#16838097—21no—
40#16838096C2211yescharacteristic, complemented
41#16838081—21no—
42#16838077—21no—
43#16838072C2211yescharacteristic, complemented
44D4×Dic118C2211yescharacteristic, complemented
45#16838058—21no—
46#16838056C2211yescharacteristic, complemented
47#16838052C2211yescharacteristic
48#16838052C2211yescharacteristic, complemented
49#16838049C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic, complemented
51#16838046—21no—
52#16838041—21no—
53#16838039—21no—
54#16838039—21no—
55#16838036C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16837950C2211yescharacteristic, complemented
59#16837947C2211yescharacteristic, complemented
60#16837947C2211yescharacteristic, complemented
61#16837947C2211yescharacteristic, complemented
62#16837937C2211yescharacteristic, complemented
63#16837935—21no—
64#16837933C2211yescharacteristic, complemented
65#16837912—21no—
66#16837912—21no—
67#16837910—21no—
68#16837908—21no—
69#16837908—21no—
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837812C2211yescharacteristic, complemented
79#16837810C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837734C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837726C2211yescharacteristic, complemented
92#16837721C2211yescharacteristic, complemented
93#16837720C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837693C2211yescharacteristic, complemented
103#16837692C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic, complemented
108#16837686C2211yescharacteristic, complemented
109#16837681C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837553C2211yescharacteristic, complemented
133#16837549C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837538C2211yescharacteristic, complemented
136#16837537C2211yescharacteristic
137#16837536C2211yescharacteristic, complemented
138#16837535C2211yescharacteristic, complemented
139#16837534C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837514C2211yescharacteristic, complemented
146#16837514C2211yescharacteristic, complemented
147#16837513C2211yescharacteristic, complemented
148#16837513C2211yescharacteristic, complemented
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837511C2211yescharacteristic
152#16837511C2211yescharacteristic
153#16837511C2211yescharacteristic, complemented
154#16837511C2211yescharacteristic, complemented
155#16837511C2211yescharacteristic, complemented
156#16837511C2211yescharacteristic, complemented
157#16837511C2211yescharacteristic, complemented
158#16837511C2211yescharacteristic, complemented
159#16837511C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179C2×#14273658C2211yescharacteristic, complemented
180#106×D59C2211yescharacteristic, complemented
181#16837404C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—48no—
213C2×#11745687D411yescharacteristic
214C22×Dic118—21no—
215C22×D236C2311yescharacteristic
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C23×Dic59—21no—
222C23×Dic59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225C22×C4×D59—21no—
226#14273753—24no—
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669—24no—
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—24no—
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273721—21no—
255#14273720—21no—
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273715C2311yescharacteristic
259#14273714—21no—
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273712—21no—
266#14273712—21no—
267#14273711—21no—
268#14273711—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273708—21no—
277#14273708—21no—
278#14273707—21no—
279#14273707—21no—
280#14273707C2311yescharacteristic
281#14273706—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273702C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273699—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273698—21no—
306#14273698—21no—
307#14273698—21no—
308#14273698C2311yescharacteristic
309#14273698C2311yescharacteristic
310#14273697—21no—
311#14273696—21no—
312#14273696—21no—
313#14273695—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318C4×Dic118C2311yescharacteristic
319#14273692D411yescharacteristic
320#14273692C2311yescharacteristic
321#14273692C2311yescharacteristic
322C4×D236—21no—
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59—21no—
328D4×Dic59—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59D411yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4D411yescharacteristic
363(C22⋊D59)⋊C4D411yescharacteristic
364#14273685—21no—
365#14273685D411yescharacteristic
366#14273684—21no—
367#14273683—21no—
368#14273683D411yescharacteristic
369#14273683D411yescharacteristic
370C2×C4⋊Dic59C2311yescharacteristic
371C2×C4⋊Dic59C2311yescharacteristic
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×C22⋊Dic59—21no—
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C22×D4×C59—21no—
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447#127×C59C2311yescharacteristic
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#123×C59—21no—
451#121×C59—21no—
452#121×C59—21no—
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#120×C59—21no—
458#120×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C24×C59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×D4×C59—22no—
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59—44no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—44no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—44no—
539C22×Dic59—44no—
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544#11745687—24no—
545#11745687—44no—
546#11745687—44no—
547#11745687—44no—
548#11745687—44no—
549#11745687—44no—
550#11745687—44no—
551#11745687—44no—
552#11745687—82no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—44no—
558#11745685—22no—
559#11745685—41no—
560C2×D236—22no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—44no—
579C2×C4×D59—82no—
580C2×C4×D59—82no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—44no—
589C2×Dic118C2×D411yescharacteristic
590C2×Dic118C2411yescharacteristic
591D8×C59—22no—
592D8×C59—41no—
593D8×C59—41no—
594M16×C59—41no—
595C2×C8×C59—41no—
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59C2×D411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C42×C59—21no—
618C42×C59C2411yescharacteristic
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59C2×D411yescharacteristic
633C22⋊Dic59C2×D411yescharacteristic
634#11745670—22no—
635#11745670—22no—
636#11745670—41no—
637#11745669—22no—
638#11745669—22no—
639#11745669—22no—
640#11745669—22no—
641#11745669—22no—
642#11745669—41no—
643#11745669#4114yescomplemented
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—22no—
696C2×C59⋊C8—22no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—22no—
702D472—41no—
703#11745660—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—42no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731D4×C59—22no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59C2×#4112yes—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—22no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59AGL(1,ℤ/8)14yescomplemented
780C2×Dic59—22no—
781C2×Dic59—22no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—41no—
788C2×Dic59—41no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—42no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—42no—
812D236—42no—
813D236C2×#4112yescomplemented
814C4×D59—22no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—41no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829Dic118—22no—
830Dic118—21no—
831Dic118—21no—
832Dic118—42no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59—21no—
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8C2×#4112yescomplemented
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—22no—
850C22×C59—21no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—84no—
863C22×C59—84no—
864C22×C59C2×AGL(1,ℤ/8)12yes—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—22no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—84no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59C22×#4111yescharacteristic
890C4×C59#58511yescharacteristic
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318D5911yescharacteristic, complemented
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264—591no—
921#3184—591no—
922#3180—591no—
923#3180—591no—
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109—591no—
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442—591no—
934C2×C59—22no—
935C2×C59—42no—
936C2×C59—41no—
937C2×C59—81no—
938C2×C59—81no—
939C2×C59—81no—
940C2×C59D4×#4111yescharacteristic
941C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
942C2×C59#358511yescharacteristic
943D59—22no—
944D59—42no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)—591no—
949C22×D8—591no—
950C22×D8—591no—
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—1181no—
956#553C2×D5911yescharacteristic, complemented
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546—1181no—
971D42—591no—
972D42—591no—
973D42—591no—
974D42C2×D5911yescharacteristic, complemented
975#532—591no—
976#532—591no—
977#532—591no—
978#532—591no—
979#529—591no—
980#529—591no—
981#529—1181no—
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—591no—
993C2×C4×D4—591no—
994C2×C4×D4—1181no—
995#501—591no—
996#501—591no—
997#498—591no—
998#496—591no—
999#496—591no—
1000#493—591no—
1001#490—591no—
1002#490C2×D5911yescharacteristic, complemented
1003#489—591no—
1004#489—591no—
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482C2×D5911yescharacteristic, complemented
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481—591no—
1016#481C2×D5911yescharacteristic, complemented
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478C2×D5911yescharacteristic, complemented
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476—591no—
1028#476—591no—
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469C2×D5911yescharacteristic, complemented
1035#466—591no—
1036#466—591no—
1037#466—591no—
1038#466C2×D5911yescharacteristic, complemented
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459C2×D5911yescharacteristic, complemented
1055#450—591no—
1056#450—591no—
1057#449—591no—
1058#449—591no—
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447C2×D5911yescharacteristic
1066#447C2×D5911yescharacteristic, complemented
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic, complemented
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432—591no—
1106#428—591no—
1107C2×#106—591no—
1108C2×#106—591no—
1109#418C2×D5911yescharacteristic, complemented
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102C2×D5911yescharacteristic, complemented
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97—591no—
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—1181no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1181no—
1129C2×#41—2368no—
1130C22×Q8—1181no—
1131C22×D4—21no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4C22×D5911yescharacteristic
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—1181no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—1184no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×SD16—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—1184no—
1160C2×D8—1184no—
1161C2×D8C22×D5911yescharacteristic
1162C2×D8C22×D5911yescharacteristic
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16C22×D5911yescharacteristic
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8—591no—
1169C22×C8C22×D5911yescharacteristic
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8—591no—
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127C22×D5911yescharacteristic
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—1181no—
1184#125C22×D5911yescharacteristic
1185#124—591no—
1186#124—591no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#123—21no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219#121—21no—
1220#121—21no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—21no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—591no—
1305#117—591no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117C22×D5911yescharacteristic
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—591no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—591no—
1327C2×C42—1181no—
1328#107—591no—
1329#107—591no—
1330#107—591no—
1331#107C22×D5911yescharacteristic
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342#106C22×D5911yescharacteristic
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394#97—591no—
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—21no—
1399C24—21no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—1182no—
1404#41—1184no—
1405#41—4722no—
1406#41—2361no—
1407#41—2364no—
1408#41—2364no—
1409#41—2364no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2364no—
1414C2×Q8—591no—
1415C2×Q8—591no—
1416C2×Q8—1181no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—1181no—
1420C2×Q8—2364no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—44no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—1182no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2364no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4D4×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—4722no—
1501C22×C4—4722no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4—2364no—
1505C22×C4C23×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—1182no—
1508SD16—1182no—
1509SD16—2361no—
1510SD16—2361no—
1511D8—22no—
1512D8—41no—
1513D8—41no—
1514D8—594no—
1515D8—1182no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—1182no—
1520D8—1182no—
1521D8—2361no—
1522D8—2361no—
1523M16—41no—
1524M16—1182no—
1525C2×C8—41no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—1182no—
1531C2×C8—1182no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4D4×D5911yescharacteristic
1564C4⋊C4C23×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4D4×D5911yescharacteristic
1608C22⋊C4D4×D5911yescharacteristic
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—591no—
1617C42—591no—
1618C42—591no—
1619C42—1181no—
1620C42—1181no—
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—591no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646C23C2×D4×D5911yescharacteristic
1647Q8—1182no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—4721no—
1651Q8—2362no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—594no—
1671D4—592no—
1672D4—1182no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—1181no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4#41×D5912yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1182no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—2361no—
1728C2×C4—2362no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2361no—
1738C2×C4—2361no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4—2362no—
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—592no—
1757C8—1181no—
1758C8—1181no—
1759C8—1181no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—84no—
1778C22—84no—
1779C22—592no—
1780C22—1181no—
1781C22—1181no—
1782C22—1182no—
1783C22—4724no—
1784C22—4724no—
1785C22—4724no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—592no—
1805C4—1181no—
1806C4—1181no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—2361no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C2×#41×D5911yescharacteristic
1817C4#1683823711yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—81no—
1824C2—1182no—
1825C2—4721no—
1826C2—4721no—
1827C2—2362no—
1828C2#2143758011yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21437703C2semidirect
2. D4×#11745687C2semidirect
3. #21437141C2semidirect
4. #21436998C2semidirect
5. #21436889C2semidirect
6. #21436800C2semidirect
7. #21436569C2semidirect
8. #21436560C2semidirect
9. #21436451C2semidirect
10. #21436238C2semidirect
11. #21436059C2semidirect
12. #21436052C2semidirect
13. #21435916C2semidirect
14. #21435904C2semidirect
15. #21435766C2semidirect
16. #21435574C2semidirect
17. #21435572C2semidirect
18. #21434829C2semidirect
19. #21434793C2semidirect
20. #21434789C2semidirect
21. #21434242C2semidirect
22. #21434239C2semidirect
23. #21434229C2semidirect
24. #21434186C2semidirect
25. #21434184C2semidirect
26. #21434182C2semidirect
27. #21433106C2semidirect
28. #21432900C2semidirect
29. C2×#16837511C2semidirect
30. #442×D59C2semidirect
31. C59×#3318C2semidirect
36. #16838135C22semidirect
37. #16838108C22semidirect
38. #16838107C22semidirect
40. #16838096C22semidirect
43. #16838072C22semidirect
44. D4×Dic118C22semidirect
46. #16838056C22semidirect
48. #16838052C22semidirect
49. #16838049C22semidirect
50. #16838048C22semidirect
55. #16838036C22semidirect
57. D4×C22⋊D59C22semidirect
58. #16837950C22semidirect
59. #16837947C22semidirect
60. #16837947C22semidirect
61. #16837947C22semidirect
62. #16837937C22semidirect
64. #16837933C22semidirect
70. #16837870C22semidirect
72. C2×D4×Dic59C22semidirect
73. C2×D4×Dic59C22semidirect
74. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837810C22semidirect
80. #16837799C22semidirect
81. #16837790C22semidirect
82. #16837789C22semidirect
83. #16837777C22semidirect
84. #16837765C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837734C22semidirect
90. #16837733C22semidirect
91. #16837726C22semidirect
92. #16837721C22semidirect
93. #16837720C22semidirect
94. #16837719C22semidirect
95. #16837719C22semidirect
96. #16837718C22semidirect
97. #16837717C22semidirect
98. #16837713C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837699C22semidirect
102. #16837693C22semidirect
103. #16837692C22semidirect
104. #16837691C22semidirect
105. #16837691C22semidirect
106. #16837690C22semidirect
107. #16837690C22semidirect
108. #16837686C22semidirect
109. #16837681C22semidirect
110. #16837655C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837631C22semidirect
117. #16837630C22semidirect
118. #16837630C22semidirect
119. #16837629C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837615C22semidirect
123. #16837615C22semidirect
124. #16837601C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
129. #16837595C22semidirect
130. #16837594C22semidirect
131. #16837554C22semidirect
132. #16837553C22semidirect
133. #16837549C22semidirect
134. #16837545C22semidirect
135. #16837538C22semidirect
137. #16837536C22semidirect
138. #16837535C22semidirect
139. #16837534C22semidirect
140. #16837534C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837514C22semidirect
146. #16837514C22semidirect
147. #16837513C22semidirect
148. #16837513C22semidirect
150. #16837512C22semidirect
153. #16837511C22semidirect
154. #16837511C22semidirect
155. #16837511C22semidirect
156. #16837511C22semidirect
157. #16837511C22semidirect
158. #16837511C22semidirect
159. #16837511C22semidirect
160. #16837511C22semidirect
161. #16837511C22semidirect
162. #16837501C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837493C22semidirect
167. #16837493C22semidirect
169. #16837482C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837445C22semidirect
179. C2×#14273658C22semidirect
180. #106×D59C22semidirect
181. #16837404C22semidirect
182. C2×#14273649C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#553C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
643. #11745669#41semidirect
779. C22⋊D59AGL(1,ℤ/8)semidirect
813. D236C2×#41semidirect
843. C59⋊C8C2×#41semidirect
913. #3318D59semidirect
956. #553C2×D59semidirect
974. D42C2×D59semidirect
1002. #490C2×D59semidirect
1010. #482C2×D59semidirect
1016. #481C2×D59semidirect
1022. #478C2×D59semidirect
1034. #469C2×D59semidirect
1038. #466C2×D59semidirect
1054. #459C2×D59semidirect
1066. #447C2×D59semidirect
1088. #442C2×D59semidirect
1100. #435C2×D59semidirect
1109. #418C2×D59semidirect
1114. C2×#102C2×D59semidirect
1118. C59#61451semidirect

Maximal subgroups

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

subgroupindex
#214377032
D4×#117456872
#214371412
#214369982
#214368892
#214368002
#214365692
#214365602
#214364512
#214362382
#214360592
#214360522
#214359162
#214359042
#214357662
#214355742
#214355722
#214348292
#214347932
#214347892
#214342422
#214342392
#214342292
#214341862
#214341842
#214341822
#214331062
#214329002
C2×#168375112
#442×D592
C59×#33182
#6145159