Finite Group Databasebeta

← #29470541

Subgroups — #29470541

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437700C211yesmaximal, characteristic, complemented
3#21437150C211yesmaximal, characteristic, complemented
4#21436996C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436878C211yesmaximal, characteristic, complemented
7#21436707C211yesmaximal, characteristic, complemented
8#21436646C211yesmaximal, characteristic, complemented
9#21436642C211yesmaximal, characteristic, complemented
10#21436408C211yesmaximal, characteristic, complemented
11#21436323C211yesmaximal, characteristic, complemented
12#21436137C211yesmaximal, characteristic, complemented
13#21436133C211yesmaximal, characteristic, complemented
14#21436077C211yesmaximal, characteristic, complemented
15#21436073C211yesmaximal, characteristic, complemented
16#21435690C211yesmaximal, characteristic, complemented
17#21435623C211yesmaximal, characteristic, complemented
18#21435615C211yesmaximal, characteristic, complemented
19#21434702C211yesmaximal, characteristic, complemented
20#21434698C211yesmaximal, characteristic, complemented
21#21434652C211yesmaximal, characteristic, complemented
22#21434163C211yesmaximal, characteristic, complemented
23#21434152C211yesmaximal, characteristic, complemented
24#21434114C211yesmaximal, characteristic, complemented
25#21434110C211yesmaximal, characteristic, complemented
26#21434104C211yesmaximal, characteristic, complemented
27#21434102C211yesmaximal, 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#16838135C2211yescharacteristic
35#16838130C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic, complemented
37#16838120C2211yescharacteristic
38#16838120C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838107C2211yescharacteristic
41#16838102C2211yescharacteristic
42#16838101—21no—
43#16838100C2211yescharacteristic
44#16838092—21no—
45#16838085—21no—
46#16838085—21no—
47#16838081—21no—
48#16838078—21no—
49D4×Dic118C2211yescharacteristic, complemented
50#16838061—21no—
51#16838056C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic
53#16838051C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838042—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16837959C2211yescharacteristic, complemented
59#16837956C2211yescharacteristic, complemented
60#16837956C2211yescharacteristic, complemented
61#16837949C2211yescharacteristic
62#16837936—21no—
63#16837936C2211yescharacteristic
64#16837934C2211yescharacteristic
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
74C2×C4×Dic118—21no—
75C2×C4×C22⋊D59—21no—
76C4×D4×D59C2211yescharacteristic
77#16837811C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic
83#16837771C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837746C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic
99#16837725C2211yescharacteristic, complemented
100#16837724C2211yescharacteristic
101#16837709C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837692C2211yescharacteristic
107#16837692C2211yescharacteristic, complemented
108#16837691C2211yescharacteristic, complemented
109#16837690C2211yescharacteristic
110#16837690C2211yescharacteristic, complemented
111#16837686C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic
113#16837661C2211yescharacteristic, complemented
114#16837660C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837659C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic
118#16837648C2211yescharacteristic
119#16837647C2211yescharacteristic
120#16837645C2211yescharacteristic
121#16837634C2211yescharacteristic, complemented
122#16837632C2211yescharacteristic, complemented
123#16837630C2211yescharacteristic, complemented
124#16837628C2211yescharacteristic, complemented
125#16837624C2211yescharacteristic, complemented
126#16837623C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837607C2211yescharacteristic
131#16837607C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837605C2211yescharacteristic
134#16837605C2211yescharacteristic
135#16837601C2211yescharacteristic
136#16837595C2211yescharacteristic
137#16837565C2211yescharacteristic
138#16837565C2211yescharacteristic, complemented
139#16837564C2211yescharacteristic, complemented
140#16837561C2211yescharacteristic
141#16837554C2211yescharacteristic
142#16837553C2211yescharacteristic
143#16837553C2211yescharacteristic
144#16837551C2211yescharacteristic
145#16837548C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic
147#16837544C2211yescharacteristic
148#16837544C2211yescharacteristic, complemented
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837514C2211yescharacteristic
152#16837511C2211yescharacteristic, complemented
153#16837501C2211yescharacteristic, complemented
154#16837499C2211yescharacteristic
155C4×Dic236C2211yescharacteristic, complemented
156C4×Dic236C2211yescharacteristic, complemented
157#16837496C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159#16837493C2211yescharacteristic
160#16837493C2211yescharacteristic, complemented
161C4×#11745660C2211yescharacteristic, complemented
162C4×#11745660C2211yescharacteristic, complemented
163C4×#11745671C2211yescharacteristic, complemented
164C4×#11745670C2211yescharacteristic
165C4×#11745670C2211yescharacteristic
166C4×#11745670C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic
170C4×#11745669C2211yescharacteristic, complemented
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
183#16837400C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic
185#16837395C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C4×#41×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic
191C59×#442C2211yescharacteristic
192C59×#442C2211yescharacteristic, complemented
193C59×#440C2211yescharacteristic
194C59×#440C2211yescharacteristic, complemented
195C4×SD16×C59C2211yescharacteristic
196C4×SD16×C59C2211yescharacteristic, complemented
197C4×D8×C59C2211yescharacteristic
198C4×D8×C59C2211yescharacteristic, complemented
199C59×#428C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic
201C59×#417C2211yescharacteristic, complemented
202C4×M16×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×Dic118—21no—
209C22×C22⋊D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212#14273751—24no—
213#14273746—24no—
214C2×Dic236C2311yescharacteristic
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C2×#11745659C2311yescharacteristic
228C2×C8×D59C2311yescharacteristic
229C2×C8×D59C2311yescharacteristic
230#14273727C2311yescharacteristic
231#14273727C2311yescharacteristic
232#14273726C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273721—21no—
242#14273721—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719—21no—
250#14273719C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273715—21no—
258#14273715C2311yescharacteristic
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273712—21no—
265#14273711—21no—
266#14273711—21no—
267#14273711—21no—
268#14273710—21no—
269#14273710—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273708—21no—
277#14273708—21no—
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273706—21no—
282#14273706—21no—
283#14273706—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703C2311yescharacteristic
296#14273703C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273701—21no—
299#14273701—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273698C2311yescharacteristic
309#14273698C2311yescharacteristic
310#14273697—21no—
311#14273696—21no—
312#14273696—21no—
313#14273695—21no—
314C4×Dic118—21no—
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118—21no—
320C4×Dic118—21no—
321C4×Dic118D411yescharacteristic
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328#14273692C2311yescharacteristic
329C4×D236D411yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689C2311yescharacteristic
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59D411yescharacteristic
349C4×C22⋊D59D411yescharacteristic
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356#14273686—21no—
357#14273686—21no—
358#14273686D411yescharacteristic
359#14273685C2311yescharacteristic
360#14273685C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684D411yescharacteristic
366#14273684D411yescharacteristic
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370C2×C4⋊Dic59—21no—
371C2×Dic59⋊C4—21no—
372C2×Dic59⋊C4—21no—
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—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#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
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—82no—
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⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—44no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524#11745687—22no—
525#11745687—22no—
526#11745687—22no—
527#11745687—41no—
528#11745687—41no—
529#11745687—41no—
530D4×D59—22no—
531D4×D59—41no—
532#11745685—42no—
533#11745685—82no—
534C2×D236—21no—
535C2×D236C2×D411yescharacteristic
536C2×D236C2411yescharacteristic
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—82no—
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2×D411yescharacteristic
544C2×C4×D59C2×D411yescharacteristic
545C2×C4×D59C2411yescharacteristic
546C2×C4×D59C2411yescharacteristic
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—44no—
552C2×Dic118C2×D411yescharacteristic
553C2×Dic118C2411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556SD16×C59—22no—
557SD16×C59—22no—
558D8×C59—22no—
559D8×C59#4114yescomplemented
560M16×C59—22no—
561M16×C59—41no—
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59C2411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C42×C59—21no—
581C42×C59—21no—
582C42×C59—21no—
583C42×C59C2×D411yescharacteristic
584C42×C59C2×D411yescharacteristic
585C42×C59C2411yescharacteristic
586C42×C59C2411yescharacteristic
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59C2×D411yescharacteristic
599C22⋊Dic59C2×D411yescharacteristic
600#11745672—41no—
601#11745671—41no—
602#11745670—22no—
603#11745670—22no—
604#11745670—22no—
605#11745670—41no—
606#11745670—41no—
607#11745669—22no—
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)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625(C2×D59)⋊C4C2×D411yescharacteristic
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—22no—
685Dic236—41no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C22×D59—21no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—81no—
703C22×D59C22×D411yescharacteristic
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—42no—
712D4×C59—42no—
713D4×C59C2×#4112yes—
714D4×C59C2×#4112yes—
715C2×C4×C59—22no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—41no—
724C2×C4×C59—42no—
725C2×C4×C59—42no—
726C2×C4×C59—42no—
727C2×C4×C59—42no—
728C2×C4×C59—42no—
729C2×C4×C59—81no—
730C2×C4×C59—81no—
731C2×C4×C59—81no—
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C2511yescharacteristic
738C22⋊D59—22no—
739C22⋊D59—41no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—42no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—81no—
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769D236—21no—
770D236—21no—
771D236—41no—
772D236—81no—
773C4×D59—22no—
774C4×D59—22no—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—22no—
780C4×D59—41no—
781C4×D59—42no—
782C4×D59—81no—
783C4×D59—81no—
784Dic118—22no—
785Dic118—21no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—21no—
791Dic118—42no—
792Dic118—42no—
793Dic118—42no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59C2×#4112yes—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803#61448—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—84no—
817C22×C59C23×D411yescharacteristic
818C2×D59—21no—
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59#57712yes—
838C4×C59C22×#4111yescharacteristic
839C4×C59#58511yescharacteristic
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57512yes—
853#3482—591no—
854#3481—591no—
855#3400—591no—
856#3384—591no—
857#3373—591no—
858#3372—591no—
859#3356—591no—
860#3350—591no—
861#3350—591no—
862#3331—591no—
863#3324—591no—
864#3311—591no—
865#3311—591no—
866#3307—591no—
867#3307—591no—
868#3272—591no—
869#3267—591no—
870#3267—591no—
871#3172—591no—
872#3172—591no—
873#3167—591no—
874#3107—591no—
875#3106—591no—
876#3102—591no—
877#3102—591no—
878#3101—591no—
879#3101—591no—
880#2965—591no—
881C4×AGL(1,ℤ/8)—591no—
882C4×AGL(1,ℤ/8)D5911yescharacteristic, complemented
883C4×#135—591no—
884C2×C59—42no—
885C2×C59—41no—
886C2×C59—42no—
887C2×C59—81no—
888C2×C59D4×#4111yescharacteristic
889C2×C59C2×#57511yescharacteristic
890C2×C59C2×#57711yescharacteristic
891D59—41no—
892D59—41no—
893D59—81no—
894C2×AGL(1,ℤ/8)—591no—
895C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
896C2×#135—591no—
897#559—591no—
898#557—591no—
899#556—591no—
900#556—591no—
901#556—591no—
902#554—591no—
903#554—591no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#552—1181no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—1181no—
914#547—591no—
915#547—591no—
916#547—591no—
917#546—591no—
918#546—591no—
919#546—1181no—
920D42—591no—
921#533—591no—
922#533—591no—
923#533—591no—
924#532—591no—
925#529—591no—
926#529—591no—
927#529—1181no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—591no—
937C4×#41C2×D5911yescharacteristic, complemented
938C2×C4×Q8—1181no—
939C2×C4×D4—591no—
940C2×C4×D4—1181no—
941C2×C4×D4C2×D5911yescharacteristic
942#501—591no—
943#501—591no—
944#498—591no—
945#497—591no—
946#497—591no—
947#492—591no—
948#491—591no—
949#491—591no—
950#489—591no—
951#489—591no—
952#487—591no—
953#486—591no—
954#485—591no—
955#485—591no—
956#485—591no—
957#485—591no—
958#483—591no—
959#483—591no—
960#483—591no—
961#483—591no—
962#482—591no—
963#482—591no—
964#482—591no—
965#482—591no—
966#479—591no—
967#479—591no—
968#478—591no—
969#478—591no—
970#477—591no—
971#476—591no—
972#476—591no—
973#476—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#474—591no—
978#470—591no—
979#470—591no—
980#470—591no—
981#470—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#465—591no—
987#465—591no—
988#465—591no—
989#465—591no—
990#464—591no—
991#464—591no—
992#463—591no—
993#463—591no—
994#462—591no—
995#461—591no—
996#461—591no—
997#461—591no—
998#461—591no—
999#461—591no—
1000#460—591no—
1001#459—591no—
1002#452—591no—
1003#452—591no—
1004#452—591no—
1005#452—591no—
1006#450—591no—
1007#450—591no—
1008#450—591no—
1009#450—591no—
1010#449—591no—
1011#449—591no—
1012#449—591no—
1013#449—591no—
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#442C2×D5911yescharacteristic
1019#442C2×D5911yescharacteristic, complemented
1020#440—591no—
1021#440—591no—
1022#440C2×D5911yescharacteristic
1023#440C2×D5911yescharacteristic, complemented
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×Q16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16C2×D5911yescharacteristic
1039C4×SD16C2×D5911yescharacteristic, complemented
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8C2×D5911yescharacteristic
1043C4×D8C2×D5911yescharacteristic, complemented
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435—591no—
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428C2×D5911yescharacteristic, complemented
1055#427—591no—
1056#418—591no—
1057#418C2×D5911yescharacteristic
1058#417—591no—
1059#417C2×D5911yescharacteristic, complemented
1060#416—591no—
1061#416—591no—
1062C4×M16—591no—
1063C4×M16C2×D5911yescharacteristic, complemented
1064C2×C4×C8—591no—
1065C59#6144811yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—591no—
1069C2×#41—591no—
1070C2×#41—1181no—
1071C2×#41C22×D5911yescharacteristic
1072C22×Q8—1181no—
1073C22×D4—591no—
1074C22×D4—1181no—
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—21no—
1077C23×C4—1181no—
1078AGL(1,ℤ/8)—24no—
1079AGL(1,ℤ/8)—1184no—
1080#135—1184no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×Q16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16C22×D5911yescharacteristic
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8—591no—
1095C2×D8C22×D5911yescharacteristic
1096C2×D8C22×D5911yescharacteristic
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16C22×D5911yescharacteristic
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—591no—
1107C4⋊Q8—591no—
1108C4⋊Q8—591no—
1109C4⋊Q8—591no—
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#125—591no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#125—1181no—
1130#124—591no—
1131#124—591no—
1132#124—1181no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—591no—
1152C22⋊Q8—591no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—591no—
1158C22⋊Q8—591no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#120—1181no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4C22×D5911yescharacteristic
1236C4×D4C22×D5911yescharacteristic
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—21no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—591no—
1247#117—591no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117C22×D5911yescharacteristic
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—1181no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—21no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42C22×D5911yescharacteristic
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107C22×D5911yescharacteristic
1279#107C22×D5911yescharacteristic
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106C22×D5911yescharacteristic
1289#106C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102C22×D5911yescharacteristic
1323#102C22×D5911yescharacteristic
1324#102C22×D5911yescharacteristic
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8—591no—
1333C22⋊C8—591no—
1334#97—591no—
1335#97—591no—
1336#97C22×D5911yescharacteristic
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8C22×D5911yescharacteristic
1343C4×C8C22×D5911yescharacteristic
1344C24—21no—
1345C24—1181no—
1346#41—22no—
1347#41—41no—
1348#41—1182no—
1349#41—1182no—
1350#41—1182no—
1351#41—4722no—
1352#41—2362no—
1353#41—2361no—
1354#41—2361no—
1355#41—2361no—
1356C2×Q8—591no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—591no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—1181no—
1364C2×Q8—2364no—
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—41no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1182no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—2361no—
1386C2×D4—2364no—
1387C2×D4C23×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—82no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4D4×D5911yescharacteristic
1417C22×C4D4×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—2361no—
1421Q16—2361no—
1422SD16—22no—
1423SD16—22no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—22no—
1433D8—1182no—
1434D8#1174568514yescomplemented
1435M16—22no—
1436M16—41no—
1437M16—1182no—
1438M16—2361no—
1439C2×C8—591no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—1182no—
1444C2×C8—2361no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
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⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
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—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42D4×D5911yescharacteristic
1552C42D4×D5911yescharacteristic
1553C42C23×D5911yescharacteristic
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—81no—
1561C23—591no—
1562C23—591no—
1563C23—1181no—
1564C23—4721no—
1565C23—2362no—
1566C23—2362no—
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—1182no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—1181no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—4721no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8—2362no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—42no—
1586D4—42no—
1587D4—1182no—
1588D4—1181no—
1589D4—1181no—
1590D4—4721no—
1591D4—4721no—
1592D4—4721no—
1593D4—2361no—
1594D4—2362no—
1595D4—2361no—
1596D4—2362no—
1597D4—2362no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4C2×#1174568512yes—
1603D4C2×#1174568512yes—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—41no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—591no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1182no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—2361no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4C2×D4×D5911yescharacteristic
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8C2×#1174568512yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—84no—
1679C22—1181no—
1680C22—1181no—
1681C22—1181no—
1682C22—1181no—
1683C22—1181no—
1684C22—1181no—
1685C22—4724no—
1686C22—2361no—
1687C22—2361no—
1688C22—2361no—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—592no—
1700C4—1181no—
1701C4—1181no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4#1683821212yes—
1713C4C22×#1174568511yescharacteristic
1714C4#1683823811yescharacteristic
1715C2—41no—
1716C2—42no—
1717C2—42no—
1718C2—81no—
1719C2—4721no—
1720C2—2361no—
1721C2—2361no—
1722C2D4×#1174568511yescharacteristic
1723C2#575×D5911yescharacteristic
1724C2C2×#1683821211yescharacteristic
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#61448
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. #21437711C2semidirect
2. #21437700C2semidirect
3. #21437150C2semidirect
4. #21436996C2semidirect
5. #21436889C2semidirect
6. #21436878C2semidirect
7. #21436707C2semidirect
8. #21436646C2semidirect
9. #21436642C2semidirect
10. #21436408C2semidirect
11. #21436323C2semidirect
12. #21436137C2semidirect
13. #21436133C2semidirect
14. #21436077C2semidirect
15. #21436073C2semidirect
16. #21435690C2semidirect
17. #21435623C2semidirect
18. #21435615C2semidirect
19. #21434702C2semidirect
20. #21434698C2semidirect
21. #21434652C2semidirect
22. #21434163C2semidirect
23. #21434152C2semidirect
24. #21434114C2semidirect
25. #21434110C2semidirect
26. #21434104C2semidirect
27. #21434102C2semidirect
28. #21433058C2semidirect
29. C4×#14273751C2semidirect
30. C4×#14273746C2semidirect
31. C4×AGL(1,ℤ/8)×C59C2semidirect
35. #16838130C22semidirect
36. #16838125C22semidirect
38. #16838120C22semidirect
49. D4×Dic118C22semidirect
51. #16838056C22semidirect
53. #16838051C22semidirect
58. #16837959C22semidirect
59. #16837956C22semidirect
60. #16837956C22semidirect
72. C4×#11745687C22semidirect
73. C4×#11745687C22semidirect
77. #16837811C22semidirect
78. #16837809C22semidirect
79. #16837799C22semidirect
80. #16837796C22semidirect
81. #16837793C22semidirect
83. #16837771C22semidirect
84. #16837769C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
89. #16837746C22semidirect
90. #16837745C22semidirect
91. #16837743C22semidirect
92. #16837742C22semidirect
93. #16837734C22semidirect
94. #16837732C22semidirect
95. #16837732C22semidirect
96. #16837731C22semidirect
97. #16837729C22semidirect
99. #16837725C22semidirect
101. #16837709C22semidirect
102. #16837708C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837696C22semidirect
107. #16837692C22semidirect
108. #16837691C22semidirect
110. #16837690C22semidirect
111. #16837686C22semidirect
113. #16837661C22semidirect
114. #16837660C22semidirect
115. #16837660C22semidirect
116. #16837659C22semidirect
121. #16837634C22semidirect
122. #16837632C22semidirect
123. #16837630C22semidirect
124. #16837628C22semidirect
125. #16837624C22semidirect
126. #16837623C22semidirect
127. #16837617C22semidirect
128. #16837615C22semidirect
129. #16837611C22semidirect
131. #16837607C22semidirect
132. #16837606C22semidirect
138. #16837565C22semidirect
139. #16837564C22semidirect
145. #16837548C22semidirect
148. #16837544C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
152. #16837511C22semidirect
153. #16837501C22semidirect
155. C4×Dic236C22semidirect
156. C4×Dic236C22semidirect
157. #16837496C22semidirect
158. C4×#11745672C22semidirect
160. #16837493C22semidirect
161. C4×#11745660C22semidirect
162. C4×#11745660C22semidirect
163. C4×#11745671C22semidirect
166. C4×#11745670C22semidirect
167. C4×#11745670C22semidirect
168. C4×#11745670C22semidirect
170. C4×#11745669C22semidirect
173. #16837475C22semidirect
174. #16837475C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837455C22semidirect
178. #16837453C22semidirect
179. #16837453C22semidirect
180. #16837443C22semidirect
181. #16837439C22semidirect
183. #16837400C22semidirect
185. #16837395C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
189. C4×#41×C59C22semidirect
192. C59×#442C22semidirect
194. C59×#440C22semidirect
196. C4×SD16×C59C22semidirect
198. C4×D8×C59C22semidirect
199. C59×#428C22semidirect
201. C59×#417C22semidirect
202. C4×M16×C59C22semidirect
559. D8×C59#41semidirect
882. C4×AGL(1,ℤ/8)D59semidirect
937. C4×#41C2×D59semidirect
1019. #442C2×D59semidirect
1023. #440C2×D59semidirect
1039. C4×SD16C2×D59semidirect
1043. C4×D8C2×D59semidirect
1054. #428C2×D59semidirect
1059. #417C2×D59semidirect
1063. C4×M16C2×D59semidirect
1065. C59#61448semidirect
1434. D8#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214377002
#214371502
#214369962
#214368892
#214368782
#214367072
#214366462
#214366422
#214364082
#214363232
#214361372
#214361332
#214360772
#214360732
#214356902
#214356232
#214356152
#214347022
#214346982
#214346522
#214341632
#214341522
#214341142
#214341102
#214341042
#214341022
#214330582
C4×#142737512
C4×#142737462
C4×AGL(1,ℤ/8)×C592
#6144859