Finite Group Databasebeta

← #29470411

Subgroups — #29470411

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437658C211yesmaximal, characteristic, complemented
2#21437654C211yesmaximal, characteristic, complemented
3#21437176C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21436928C211yesmaximal, characteristic, complemented
6#21436924C211yesmaximal, characteristic, complemented
7#21436667C211yesmaximal, characteristic, complemented
8#21436616C211yesmaximal, characteristic, complemented
9#21436612C211yesmaximal, characteristic, complemented
10#21436313C211yesmaximal, characteristic, complemented
11#21436308C211yesmaximal, characteristic, complemented
12#21436257C211yesmaximal, characteristic, complemented
13#21436253C211yesmaximal, characteristic, complemented
14#21436197C211yesmaximal, characteristic, complemented
15#21436193C211yesmaximal, characteristic, complemented
16#21435701C211yesmaximal, characteristic, complemented
17#21435623C211yesmaximal, characteristic, complemented
18#21435615C211yesmaximal, characteristic, complemented
19#21434702C211yesmaximal, characteristic, complemented
20#21434698C211yesmaximal, characteristic, complemented
21#21434662C211yesmaximal, characteristic, complemented
22#21434167C211yesmaximal, characteristic, complemented
23#21434163C211yesmaximal, characteristic, complemented
24#21434143C211yesmaximal, characteristic, complemented
25#21434141C211yesmaximal, characteristic, complemented
26#21434118C211yesmaximal, characteristic, complemented
27#21434110C211yesmaximal, characteristic, complemented
28#21433058C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C4×#14273746C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C59C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×#14273746C2211yescharacteristic
34#16838124C2211yescharacteristic, complemented
35#16838122C2211yescharacteristic, complemented
36#16838117C2211yescharacteristic
37#16838115C2211yescharacteristic
38#16838111C2211yescharacteristic, complemented
39#16838109C2211yescharacteristic, complemented
40#16838101—21no—
41#16838098—21no—
42#16838093C2211yescharacteristic, complemented
43#16838092—21no—
44#16838091C2211yescharacteristic
45#16838087C2211yescharacteristic
46#16838087C2211yescharacteristic, complemented
47#16838085—21no—
48#16838081—21no—
49#16838078—21no—
50#16838078—21no—
51#16838076—21no—
52#16838056C2211yescharacteristic
53#16838051C2211yescharacteristic
54#16838047C2211yescharacteristic, complemented
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic, complemented
57#16838040C2211yescharacteristic
58#16837959C2211yescharacteristic, complemented
59#16837956C2211yescharacteristic, complemented
60#16837939C2211yescharacteristic, complemented
61#16837936—21no—
62#16837936C2211yescharacteristic
63#16837934C2211yescharacteristic
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837932—21no—
67#16837932—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745687C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic, complemented
74C4×D4×D59C2211yescharacteristic, complemented
75C2×#14273686—21no—
76C2×#14273684—21no—
77#16837811C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic
83#16837771C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837742C2211yescharacteristic, complemented
94#16837741C2211yescharacteristic, complemented
95#16837739C2211yescharacteristic, complemented
96#16837737C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic
100#16837719C2211yescharacteristic
101#16837712C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837702C2211yescharacteristic, complemented
108#16837700C2211yescharacteristic, complemented
109#16837687C2211yescharacteristic, complemented
110#16837686C2211yescharacteristic, complemented
111#16837682C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic, complemented
113#16837661C2211yescharacteristic, complemented
114#16837660C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837659C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic
118#16837648C2211yescharacteristic
119#16837647C2211yescharacteristic
120#16837645C2211yescharacteristic
121#16837642C2211yescharacteristic, complemented
122#16837637C2211yescharacteristic
123#16837632C2211yescharacteristic, complemented
124#16837628C2211yescharacteristic, complemented
125#16837627C2211yescharacteristic, complemented
126#16837623C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic
128#16837617C2211yescharacteristic
129#16837617C2211yescharacteristic
130#16837616C2211yescharacteristic
131#16837615C2211yescharacteristic
132#16837615C2211yescharacteristic
133#16837612C2211yescharacteristic, complemented
134#16837611C2211yescharacteristic, complemented
135#16837607C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837565C2211yescharacteristic
138#16837565C2211yescharacteristic, complemented
139#16837564C2211yescharacteristic
140#16837564C2211yescharacteristic
141#16837561C2211yescharacteristic
142#16837561C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic
146#16837544C2211yescharacteristic
147#16837536C2211yescharacteristic
148#16837534C2211yescharacteristic
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837514C2211yescharacteristic
152#16837511C2211yescharacteristic
153#16837501C2211yescharacteristic, complemented
154#16837499C2211yescharacteristic, complemented
155C4×Dic236C2211yescharacteristic, complemented
156C4×Dic236C2211yescharacteristic, complemented
157#16837496C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745672C2211yescharacteristic, complemented
160#16837493C2211yescharacteristic, complemented
161#16837493C2211yescharacteristic, complemented
162C4×#11745660C2211yescharacteristic, complemented
163C4×#11745660C2211yescharacteristic, complemented
164C4×#11745670C2211yescharacteristic, complemented
165C4×#11745670C2211yescharacteristic, complemented
166C4×#11745670C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168D8×Dic59C2211yescharacteristic
169C4×#11745669C2211yescharacteristic
170C4×#11745669C2211yescharacteristic
171#16837478C2211yescharacteristic
172#16837478C2211yescharacteristic
173#16837475C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837455C2211yescharacteristic, complemented
178#16837453C2211yescharacteristic, complemented
179#16837453C2211yescharacteristic, complemented
180#16837443C2211yescharacteristic, complemented
181#16837439C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic
184#16837395C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C4×#41×C59C2211yescharacteristic
190C2×C4×D4×C59C2211yescharacteristic, complemented
191C59×#442C2211yescharacteristic
192C59×#442C2211yescharacteristic
193C59×#440C2211yescharacteristic, complemented
194C59×#440C2211yescharacteristic, complemented
195C4×SD16×C59C2211yescharacteristic, complemented
196C4×SD16×C59C2211yescharacteristic, complemented
197C4×D8×C59C2211yescharacteristic
198C4×D8×C59C2211yescharacteristic
199C59×#428C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic
202C4×M16×C59C2211yescharacteristic, complemented
203C2×#11745685D411yescharacteristic
204C2×#11745687C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209#14273751—24no—
210#14273746—24no—
211C2×Dic236C2311yescharacteristic
212C2×Dic236C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745669C2311yescharacteristic
222C2×#11745669C2311yescharacteristic
223C2×#11745659C2311yescharacteristic
224C2×#11745659C2311yescharacteristic
225C2×C8×D59C2311yescharacteristic
226C2×C8×D59C2311yescharacteristic
227#14273727C2311yescharacteristic
228#14273727C2311yescharacteristic
229#14273726C2311yescharacteristic
230#14273725C2311yescharacteristic
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273722—21no—
235#14273721—21no—
236#14273721—21no—
237#14273721—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273719—21no—
244#14273719—21no—
245#14273719C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273716C2311yescharacteristic
254#14273715—21no—
255#14273715C2311yescharacteristic
256#14273714C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273713—21no—
259#14273713—21no—
260#14273713—21no—
261#14273712—21no—
262#14273712—21no—
263#14273711—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273710—21no—
269#14273710—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273708—21no—
276#14273708—21no—
277#14273707C2311yescharacteristic
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706—21no—
282#14273706—21no—
283#14273706—21no—
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273703C2311yescharacteristic
294#14273703C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273701—21no—
297#14273701—21no—
298#14273701—21no—
299#14273701C2311yescharacteristic
300#14273700—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273698C2311yescharacteristic
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273696—21no—
309#14273696—21no—
310#14273695—21no—
311C4×Dic118—21no—
312C4×Dic118—21no—
313C4×Dic118D411yescharacteristic
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318#14273692C2311yescharacteristic
319#14273692C2311yescharacteristic
320#14273692C2311yescharacteristic
321C4×D236—21no—
322C4×D236D411yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689C2311yescharacteristic
330C4×C22⋊D59—21no—
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59D411yescharacteristic
338C4×C22⋊D59D411yescharacteristic
339C4×C22⋊D59C2311yescharacteristic
340C4×C22⋊D59C2311yescharacteristic
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345#14273686—21no—
346#14273686—21no—
347#14273686—21no—
348#14273686—21no—
349#14273686—21no—
350#14273686—21no—
351#14273686—21no—
352#14273686D411yescharacteristic
353#14273685C2311yescharacteristic
354#14273685C2311yescharacteristic
355#14273685C2311yescharacteristic
356#14273684—21no—
357#14273684—21no—
358#14273684—21no—
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684D411yescharacteristic
364#14273684D411yescharacteristic
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368C2×C4⋊Dic59—21no—
369C2×C4⋊Dic59—21no—
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59—21no—
381C42×D59C2311yescharacteristic
382C42×D59C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440AGL(1,ℤ/8)×C59—24no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—41no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—44no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59C2×D411yescharacteristic
513C2×C22⋊D59C2×D411yescharacteristic
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521#11745687—22no—
522#11745687—22no—
523#11745687—22no—
524#11745687—41no—
525#11745687—41no—
526#11745687—41no—
527D4×D59—22no—
528D4×D59—41no—
529#11745685—42no—
530C2×D236—21no—
531C2×D236C2×D411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—44no—
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118C2×D411yescharacteristic
546C2×Dic118C2411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549SD16×C59—22no—
550SD16×C59—22no—
551D8×C59—22no—
552D8×C59#4114yescomplemented
553M16×C59—22no—
554M16×C59—41no—
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C2×C8×C59C2411yescharacteristic
558C2×C8×C59C2411yescharacteristic
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C42×C59—21no—
574C42×C59—21no—
575C42×C59—21no—
576C42×C59C2×D411yescharacteristic
577C42×C59C2×D411yescharacteristic
578C42×C59C2411yescharacteristic
579C42×C59C2411yescharacteristic
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59C2×D411yescharacteristic
594C22⋊Dic59C2×D411yescharacteristic
595#11745672—41no—
596#11745672—41no—
597#11745670—22no—
598#11745670—22no—
599#11745670—22no—
600#11745670—41no—
601#11745669—22no—
602#11745669—41no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621(C2×D59)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59C2×D411yescharacteristic
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681Dic236—22no—
682Dic236—41no—
683#11745660—22no—
684#11745660—41no—
685#11745659—22no—
686#11745659—41no—
687C8×D59—22no—
688C8×D59—41no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—42no—
693C23×C59—42no—
694C23×C59—81no—
695C23×C59C22×D411yescharacteristic
696C22×D59—21no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—81no—
700C22×D59C22×D411yescharacteristic
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704D4×C59—21no—
705D4×C59—21no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—42no—
709D4×C59—42no—
710D4×C59C2×#4112yes—
711D4×C59C2×#4112yes—
712C2×C4×C59—22no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—41no—
721C2×C4×C59—42no—
722C2×C4×C59—42no—
723C2×C4×C59—42no—
724C2×C4×C59—42no—
725C2×C4×C59—42no—
726C2×C4×C59—42no—
727C2×C4×C59—42no—
728C2×C4×C59—81no—
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—41no—
736C22⋊D59—41no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—42no—
752C2×Dic59—42no—
753C2×Dic59—42no—
754C2×Dic59—42no—
755C2×Dic59—81no—
756C2×Dic59—81no—
757C2×Dic59—81no—
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764D236—21no—
765D236—21no—
766D236—41no—
767D236—81no—
768C4×D59—22no—
769C4×D59—22no—
770C4×D59—21no—
771C4×D59—21no—
772C4×D59—21no—
773C4×D59—21no—
774C4×D59—41no—
775C4×D59—41no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779Dic118—21no—
780Dic118—21no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—41no—
786Dic118—81no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59C2×#4112yes—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8—21no—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—84no—
810C22×C59C23×D411yescharacteristic
811C2×D59—21no—
812C2×D59—21no—
813C2×D59—21no—
814C2×D59—21no—
815C2×D59—21no—
816C2×D59—21no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59#57512yes—
831C4×C59C22×#4111yescharacteristic
832C4×C59#58511yescharacteristic
833Dic59—21no—
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846#3475—591no—
847#3475—591no—
848#3402—591no—
849#3389—591no—
850#3376—591no—
851#3376—591no—
852#3352—591no—
853#3348—591no—
854#3348—591no—
855#3323—591no—
856#3323—591no—
857#3319—591no—
858#3319—591no—
859#3315—591no—
860#3315—591no—
861#3273—591no—
862#3267—591no—
863#3267—591no—
864#3172—591no—
865#3172—591no—
866#3168—591no—
867#3107—591no—
868#3107—591no—
869#3105—591no—
870#3105—591no—
871#3102—591no—
872#3102—591no—
873#2965—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×AGL(1,ℤ/8)D5911yescharacteristic, complemented
876C4×#135—591no—
877C2×C59—42no—
878C2×C59—41no—
879C2×C59—42no—
880C2×C59—81no—
881C2×C59D4×#4111yescharacteristic
882C2×C59C2×#57511yescharacteristic
883C2×C59#358411yescharacteristic
884D59—41no—
885D59—41no—
886D59—81no—
887C2×AGL(1,ℤ/8)—591no—
888C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
889C2×#135—591no—
890#556—591no—
891#556—591no—
892#555—591no—
893#555—591no—
894#554—591no—
895#554—591no—
896#553—1181no—
897#553—1181no—
898#552—591no—
899#552—591no—
900#552—591no—
901#552—591no—
902#552—1181no—
903#552—1181no—
904#551—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#547—591no—
909#547—591no—
910#546—591no—
911#546—591no—
912#546—591no—
913#546—591no—
914#533—591no—
915#533—591no—
916#529—591no—
917#529—591no—
918#529—591no—
919#529—591no—
920#529—1181no—
921#529—1181no—
922#529—1181no—
923#529—1181no—
924#525—1181no—
925#525—1181no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41C2×D5911yescharacteristic
931C2×C4×D4—591no—
932C2×C4×D4C2×D5911yescharacteristic, complemented
933C2×#117—1181no—
934C2×#117—1181no—
935#501—591no—
936#501—591no—
937#499—591no—
938#497—591no—
939#497—591no—
940#495—591no—
941#491—591no—
942#491—591no—
943#489—591no—
944#489—591no—
945#488—591no—
946#488—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485—591no—
953#484—591no—
954#484—591no—
955#482—591no—
956#482—591no—
957#481—591no—
958#481—591no—
959#479—591no—
960#479—591no—
961#478—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#478—591no—
967#475—591no—
968#475—591no—
969#474—591no—
970#474—591no—
971#470—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#468—591no—
979#467—591no—
980#466—591no—
981#465—591no—
982#465—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#463—591no—
991#462—591no—
992#462—591no—
993#461—591no—
994#461—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#452—591no—
1001#450—591no—
1002#450—591no—
1003#449—591no—
1004#449—591no—
1005#447—591no—
1006#447—591no—
1007#446—591no—
1008#446—591no—
1009#442—591no—
1010#442—591no—
1011#442C2×D5911yescharacteristic
1012#442C2×D5911yescharacteristic
1013#440—591no—
1014#440—591no—
1015#440C2×D5911yescharacteristic, complemented
1016#440C2×D5911yescharacteristic, complemented
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×Q16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16C2×D5911yescharacteristic, complemented
1031C4×SD16C2×D5911yescharacteristic, complemented
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8C2×D5911yescharacteristic
1036C4×D8C2×D5911yescharacteristic
1037#436—591no—
1038#436—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043#431—591no—
1044#431—591no—
1045#431—591no—
1046#428—591no—
1047#428C2×D5911yescharacteristic, complemented
1048#427—591no—
1049#418—591no—
1050#418C2×D5911yescharacteristic, complemented
1051#417—591no—
1052#417C2×D5911yescharacteristic
1053#416—591no—
1054#416—591no—
1055C4×M16—591no—
1056C4×M16C2×D5911yescharacteristic, complemented
1057C2×C4×C8—591no—
1058C59#6144211yescharacteristic, complemented, Sylow
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41C22×D5911yescharacteristic
1064C22×D4—591no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—21no—
1067C23×C4—1181no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—1184no—
1070#135—1184no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16C22×D5911yescharacteristic
1082C2×SD16C22×D5911yescharacteristic
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8C22×D5911yescharacteristic
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16C22×D5911yescharacteristic
1090C2×M16C22×D5911yescharacteristic
1091C22×C8—591no—
1092C22×C8—591no—
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8—591no—
1097#126—1181no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#126—1181no—
1103#126—1181no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#125—591no—
1110#125—591no—
1111#125—591no—
1112#125—591no—
1113#125—1181no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125—1181no—
1118#125—1181no—
1119#124—591no—
1120#124—591no—
1121#124—591no—
1122#124—591no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124—1181no—
1127#123—1181no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—591no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161#121—591no—
1162#121—591no—
1163#121—591no—
1164#121—591no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#120—1181no—
1174#120—1181no—
1175#120—1181no—
1176#120—1181no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—1181no—
1186C4×Q8—1181no—
1187C4×Q8C22×D5911yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4C22×D5911yescharacteristic
1218C4×D4C22×D5911yescharacteristic
1219C4×D4C22×D5911yescharacteristic
1220C4×D4C22×D5911yescharacteristic
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223#117—21no—
1224#117—591no—
1225#117—591no—
1226#117—591no—
1227#117—591no—
1228#117—591no—
1229#117—591no—
1230#117—1181no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117C22×D5911yescharacteristic
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—1181no—
1250C2×C4⋊C4—1181no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C42—21no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—1181no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42C22×D5911yescharacteristic
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107C22×D5911yescharacteristic
1274#107C22×D5911yescharacteristic
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106C22×D5911yescharacteristic
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102C22×D5911yescharacteristic
1316#102C22×D5911yescharacteristic
1317#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327#97—591no—
1328#97—591no—
1329#97C22×D5911yescharacteristic
1330#97C22×D5911yescharacteristic
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8C22×D5911yescharacteristic
1336C4×C8C22×D5911yescharacteristic
1337C24—21no—
1338C24—1181no—
1339#41—22no—
1340#41—41no—
1341#41—1182no—
1342#41—1182no—
1343#41—1182no—
1344#41—2362no—
1345#41—2361no—
1346#41—2361no—
1347#41—2361no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—591no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8C23×D5911yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—41no—
1359C2×D4—591no—
1360C2×D4—591no—
1361C2×D4—591no—
1362C2×D4—591no—
1363C2×D4—1181no—
1364C2×D4—1181no—
1365C2×D4—1182no—
1366C2×D4—1181no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—2361no—
1373C2×D4C23×D5911yescharacteristic
1374C2×D4C23×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—44no—
1385C22×C4—591no—
1386C22×C4—591no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—2364no—
1402C22×C4D4×D5911yescharacteristic
1403C22×C4D4×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—1182no—
1406Q16—2361no—
1407Q16—2361no—
1408Q16—2361no—
1409SD16—22no—
1410SD16—22no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—2361no—
1416SD16—2361no—
1417D8—22no—
1418D8—1182no—
1419D8—2361no—
1420D8#1174568514yescomplemented
1421M16—22no—
1422M16—41no—
1423M16—1182no—
1424M16—2361no—
1425C2×C8—591no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—1182no—
1430C2×C8—2361no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—591no—
1439C4⋊C4—591no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—1181no—
1449C4⋊C4—1181no—
1450C4⋊C4—1181no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C4⋊C4C23×D5911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—591no—
1489C22⋊C4—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—591no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—591no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—1181no—
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42D4×D5911yescharacteristic
1542C42D4×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—591no—
1552C23—591no—
1553C23—1181no—
1554C23—4721no—
1555C23—2362no—
1556C23—2362no—
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—1181no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—4721no—
1567Q8—4721no—
1568Q8—2361no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—42no—
1574D4—42no—
1575D4—1181no—
1576D4—1181no—
1577D4—4721no—
1578D4—4721no—
1579D4—4721no—
1580D4—4721no—
1581D4—2361no—
1582D4—2361no—
1583D4—2361no—
1584D4—2362no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4C2×#1174568512yes—
1589D4C2×#1174568512yes—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—591no—
1610C2×C4—591no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—1182no—
1614C2×C4—1182no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—4721no—
1627C2×C4—4721no—
1628C2×C4—4721no—
1629C2×C4—2361no—
1630C2×C4—2361no—
1631C2×C4—2362no—
1632C2×C4—2362no—
1633C2×C4—2362no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4C2×D4×D5911yescharacteristic
1639C2×C4C2×D4×D5911yescharacteristic
1640C2×C4C2×D4×D5911yescharacteristic
1641C2×C4C2×D4×D5911yescharacteristic
1642C2×C4C2×D4×D5911yescharacteristic
1643C2×C4C24×D5911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1181no—
1648C8—1181no—
1649C8—1181no—
1650C8—1181no—
1651C8C2×#1174568512yes—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—22no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—1181no—
1666C22—1181no—
1667C22—1181no—
1668C22—1181no—
1669C22—1181no—
1670C22—1181no—
1671C22—4724no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22C22×D4×D5911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—1181no—
1686C4—1181no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4#1683819812yes—
1699C4C22×#1174568511yescharacteristic
1700C4#1683823811yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—4721no—
1706C2—2361no—
1707C2—2361no—
1708C2D4×#1174568511yescharacteristic
1709C2C2×#1683819811yescharacteristic
1710C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC4×AGL(1,ℤ/8)×C59C2
socleC22×C59C23×D4
hypercenterC4×AGL(1,ℤ/8)D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #21437658C2semidirect
2. #21437654C2semidirect
3. #21437176C2semidirect
4. #21437055C2semidirect
5. #21436928C2semidirect
6. #21436924C2semidirect
7. #21436667C2semidirect
8. #21436616C2semidirect
9. #21436612C2semidirect
10. #21436313C2semidirect
11. #21436308C2semidirect
12. #21436257C2semidirect
13. #21436253C2semidirect
14. #21436197C2semidirect
15. #21436193C2semidirect
16. #21435701C2semidirect
17. #21435623C2semidirect
18. #21435615C2semidirect
19. #21434702C2semidirect
20. #21434698C2semidirect
21. #21434662C2semidirect
22. #21434167C2semidirect
23. #21434163C2semidirect
24. #21434143C2semidirect
25. #21434141C2semidirect
26. #21434118C2semidirect
27. #21434110C2semidirect
28. #21433058C2semidirect
29. C4×#14273751C2semidirect
30. C4×#14273746C2semidirect
31. C4×AGL(1,ℤ/8)×C59C2semidirect
34. #16838124C22semidirect
35. #16838122C22semidirect
38. #16838111C22semidirect
39. #16838109C22semidirect
42. #16838093C22semidirect
46. #16838087C22semidirect
54. #16838047C22semidirect
56. #16838046C22semidirect
58. #16837959C22semidirect
59. #16837956C22semidirect
60. #16837939C22semidirect
64. #16837934C22semidirect
72. C4×#11745687C22semidirect
73. C4×#11745687C22semidirect
74. C4×D4×D59C22semidirect
77. #16837811C22semidirect
78. #16837809C22semidirect
79. #16837802C22semidirect
80. #16837796C22semidirect
81. #16837793C22semidirect
83. #16837771C22semidirect
84. #16837769C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837746C22semidirect
90. #16837745C22semidirect
91. #16837743C22semidirect
92. #16837743C22semidirect
93. #16837742C22semidirect
94. #16837741C22semidirect
95. #16837739C22semidirect
96. #16837737C22semidirect
97. #16837728C22semidirect
98. #16837724C22semidirect
101. #16837712C22semidirect
102. #16837708C22semidirect
103. #16837705C22semidirect
104. #16837704C22semidirect
105. #16837704C22semidirect
106. #16837702C22semidirect
107. #16837702C22semidirect
108. #16837700C22semidirect
109. #16837687C22semidirect
110. #16837686C22semidirect
111. #16837682C22semidirect
112. #16837680C22semidirect
113. #16837661C22semidirect
114. #16837660C22semidirect
115. #16837660C22semidirect
116. #16837659C22semidirect
121. #16837642C22semidirect
123. #16837632C22semidirect
124. #16837628C22semidirect
125. #16837627C22semidirect
126. #16837623C22semidirect
133. #16837612C22semidirect
134. #16837611C22semidirect
135. #16837607C22semidirect
136. #16837605C22semidirect
138. #16837565C22semidirect
142. #16837561C22semidirect
143. #16837554C22semidirect
144. #16837553C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
153. #16837501C22semidirect
154. #16837499C22semidirect
155. C4×Dic236C22semidirect
156. C4×Dic236C22semidirect
157. #16837496C22semidirect
158. C4×#11745672C22semidirect
159. C4×#11745672C22semidirect
160. #16837493C22semidirect
161. #16837493C22semidirect
162. C4×#11745660C22semidirect
163. C4×#11745660C22semidirect
164. C4×#11745670C22semidirect
165. C4×#11745670C22semidirect
166. C4×#11745670C22semidirect
167. C4×#11745670C22semidirect
173. #16837475C22semidirect
174. #16837475C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837455C22semidirect
178. #16837453C22semidirect
179. #16837453C22semidirect
180. #16837443C22semidirect
181. #16837439C22semidirect
182. #16837405C22semidirect
184. #16837395C22semidirect
185. #16837395C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
190. C2×C4×D4×C59C22semidirect
193. C59×#440C22semidirect
194. C59×#440C22semidirect
195. C4×SD16×C59C22semidirect
196. C4×SD16×C59C22semidirect
199. C59×#428C22semidirect
200. C59×#418C22semidirect
202. C4×M16×C59C22semidirect
552. D8×C59#41semidirect
875. C4×AGL(1,ℤ/8)D59semidirect
932. C2×C4×D4C2×D59semidirect
1015. #440C2×D59semidirect
1016. #440C2×D59semidirect
1030. C4×SD16C2×D59semidirect
1031. C4×SD16C2×D59semidirect
1047. #428C2×D59semidirect
1050. #418C2×D59semidirect
1056. C4×M16C2×D59semidirect
1058. C59#61442semidirect
1420. D8#11745685semidirect

Maximal subgroups

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

subgroupindex
#214376582
#214376542
#214371762
#214370552
#214369282
#214369242
#214366672
#214366162
#214366122
#214363132
#214363082
#214362572
#214362532
#214361972
#214361932
#214357012
#214356232
#214356152
#214347022
#214346982
#214346622
#214341672
#214341632
#214341432
#214341412
#214341182
#214341102
#214330582
C4×#142737512
C4×#142737462
C4×AGL(1,ℤ/8)×C592
#6144259