Finite Group Databasebeta

← #29470402

Subgroups — #29470402

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#21437653C211yesmaximal, characteristic, complemented
2#21437647C211yesmaximal, characteristic, complemented
3#21437174C211yesmaximal, characteristic, complemented
4#21437049C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436922C211yesmaximal, characteristic, complemented
7#21436664C211yesmaximal, characteristic, complemented
8#21436611C211yesmaximal, characteristic, complemented
9#21436609C211yesmaximal, characteristic, complemented
10#21436308C211yesmaximal, characteristic, complemented
11#21436307C211yesmaximal, characteristic, complemented
12#21436258C211yesmaximal, characteristic, complemented
13#21436194C211yesmaximal, characteristic, complemented
14#21436188C211yesmaximal, characteristic, complemented
15#21435707C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435614C211yesmaximal, characteristic, complemented
18#21434705C211yesmaximal, characteristic, complemented
19#21434695C211yesmaximal, characteristic, complemented
20#21434661C211yesmaximal, characteristic, complemented
21#21434169C211yesmaximal, characteristic, complemented
22#21434162C211yesmaximal, characteristic, complemented
23#21434142C211yesmaximal, characteristic, complemented
24#21434138C211yesmaximal, characteristic, complemented
25#21434109C211yesmaximal, characteristic, complemented
26#21434107C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29#21432900C211yesmaximal, characteristic, complemented
30#21432864C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35#16838122C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic
38#16838113C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic, complemented
40#16838099—21no—
41#16838095—21no—
42#16838094C2211yescharacteristic
43#16838092C2211yescharacteristic, complemented
44#16838091—21no—
45#16838091C2211yescharacteristic
46#16838091C2211yescharacteristic, complemented
47#16838089—21no—
48#16838083—21no—
49#16838082—21no—
50#16838082—21no—
51#16838078—21no—
52#16838057C2211yescharacteristic
53#16838051C2211yescharacteristic
54#16838049C2211yescharacteristic
55#16838049C2211yescharacteristic, complemented
56#16838046C2211yescharacteristic
57#16837957C2211yescharacteristic, complemented
58#16837954C2211yescharacteristic, complemented
59#16837933—21no—
60#16837933C2211yescharacteristic
61#16837933C2211yescharacteristic, complemented
62#16837933C2211yescharacteristic, complemented
63#16837931—21no—
64#16837931—21no—
65#16837931C2211yescharacteristic
66#16837929—21no—
67#16837912—21no—
68#16837908—21no—
69#41×Dic59C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic
71#16837870C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic
73C4×#11745687C2211yescharacteristic
74C2×D4×Dic59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C2×#14273683—21no—
77#117×D59—21no—
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic
84#16837771C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837743C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic
98#16837718C2211yescharacteristic
99#16837712C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837686C2211yescharacteristic, complemented
108#16837684C2211yescharacteristic, complemented
109#16837681C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837659C2211yescharacteristic, complemented
113#16837658C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic
115#16837647C2211yescharacteristic
116#16837646C2211yescharacteristic
117#16837643C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic
123#16837615C2211yescharacteristic
124#16837615C2211yescharacteristic
125#16837615C2211yescharacteristic
126#16837614C2211yescharacteristic
127#16837613C2211yescharacteristic, complemented
128#16837611C2211yescharacteristic, complemented
129#16837607C2211yescharacteristic, complemented
130#16837606C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic
134#16837565C2211yescharacteristic
135#16837564C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic
137#16837553C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic
146#16837504C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837496C2211yescharacteristic, complemented
151#16837496C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153#16837494C2211yescharacteristic, complemented
154#16837494C2211yescharacteristic, complemented
155#16837493C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157#16837493C2211yescharacteristic, complemented
158#16837493C2211yescharacteristic, complemented
159#16837493C2211yescharacteristic, complemented
160#16837493C2211yescharacteristic, complemented
161SD16×Dic59C2211yescharacteristic, complemented
162#16837489C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic
166D8×Dic59C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic
170#16837478C2211yescharacteristic
171#16837477C2211yescharacteristic
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179#16837441C2211yescharacteristic, complemented
180#16837438C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic
183#16837400C2211yescharacteristic
184#16837399C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic
195C59×#466C2211yescharacteristic
196C59×#463C2211yescharacteristic
197C59×#449C2211yescharacteristic
198C59×#447C2211yescharacteristic
199C59×#442C2211yescharacteristic
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C23×Dic59—21no—
209C22×C4×D59—21no—
210#14273753—24no—
211#14273751—24no—
212#14273747—24no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745659C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230#14273727C2311yescharacteristic
231#14273726C2311yescharacteristic
232#14273725C2311yescharacteristic
233#14273722—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273719—21no—
246#14273719—21no—
247#14273719C2311yescharacteristic
248#14273718—21no—
249#14273718—21no—
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273714—21no—
256#14273714C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273713—21no—
260#14273711—21no—
261#14273710—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273707—21no—
276#14273707C2311yescharacteristic
277#14273707C2311yescharacteristic
278#14273706—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273703—21no—
289#14273703—21no—
290#14273703—21no—
291#14273703C2311yescharacteristic
292#14273699—21no—
293#14273699—21no—
294#14273699—21no—
295#14273698—21no—
296#14273698—21no—
297#14273698—21no—
298#14273698C2311yescharacteristic
299#14273696—21no—
300#14273695—21no—
301#14273695—21no—
302Q8×Dic59—21no—
303Q8×Dic59C2311yescharacteristic
304Q8×Dic59C2311yescharacteristic
305C4×Dic118C2311yescharacteristic
306C4×Dic118C2311yescharacteristic
307#14273692—21no—
308#14273692D411yescharacteristic
309#14273692C2311yescharacteristic
310#14273692C2311yescharacteristic
311#14273692C2311yescharacteristic
312#14273692C2311yescharacteristic
313#14273692C2311yescharacteristic
314C4×D236C2311yescharacteristic
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59D411yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689C2311yescharacteristic
330#14273689C2311yescharacteristic
331#14273689C2311yescharacteristic
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59C2311yescharacteristic
335C4×C22⋊D59C2311yescharacteristic
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4D411yescharacteristic
344(C22⋊D59)⋊C4D411yescharacteristic
345#14273686—21no—
346#14273686—21no—
347#14273686C2311yescharacteristic
348#14273685—21no—
349#14273685D411yescharacteristic
350#14273685C2311yescharacteristic
351#14273684—21no—
352#14273684—21no—
353#14273684—21no—
354#14273684—21no—
355#14273683—21no—
356#14273683—21no—
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683—21no—
361#14273683—21no—
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683D411yescharacteristic
366#14273683D411yescharacteristic
367C2×C4⋊Dic59C2311yescharacteristic
368C2×Dic59⋊C4—21no—
369C2×Dic59⋊C4—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59C2311yescharacteristic
381C2×C4×Dic59C2311yescharacteristic
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#124×C59—21no—
447#124×C59—21no—
448#124×C59C2311yescharacteristic
449#123×C59—21no—
450C22⋊Q8×C59C2311yescharacteristic
451#121×C59—21no—
452#121×C59—21no—
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461#117×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×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#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59C2×D411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—44no—
519C22×Dic59C2×D411yescharacteristic
520C22×Dic59C2×D411yescharacteristic
521C22×Dic59C2×D411yescharacteristic
522C22×Dic59C2×D411yescharacteristic
523#11745687—22no—
524#11745687—41no—
525#11745687—42no—
526D4×D59—22no—
527D4×D59—41no—
528#11745685—22no—
529#11745685—22no—
530#11745685—41no—
531#11745685—41no—
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—44no—
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×Dic118—21no—
545C2×Dic118C2×D411yescharacteristic
546C2×Dic118C2411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549SD16×C59—41no—
550D8×C59—22no—
551D8×C59—41no—
552M16×C59—41no—
553C2×C8×C59—41no—
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C2×C8×C59C2411yescharacteristic
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59C2×D411yescharacteristic
561C4⋊C4×C59C2411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C22⋊C4×C59—21no—
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—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59C2×D411yescharacteristic
576C22⋊C4×C59C2×D411yescharacteristic
577C42×C59—21no—
578C42×C59—21no—
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⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59C2×D411yescharacteristic
599C22⋊Dic59C2×D411yescharacteristic
600#11745672—22no—
601#11745672—41no—
602#11745671—22no—
603#11745670—22no—
604#11745670—22no—
605#11745670—22no—
606#11745670—22no—
607#11745670—41no—
608#11745669—22no—
609#11745669#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
619(C2×D59)⋊C4C2×D411yescharacteristic
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59C2×D411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632C4⋊Dic59C2411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—22no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—41no—
685Dic236—41no—
686#11745660—22no—
687#11745659—22no—
688#11745659—41no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—42no—
693C23×C59—42no—
694C23×C59—81no—
695C23×C59C22×D411yescharacteristic
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704Q8×C59—81no—
705D4×C59—21no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—41no—
711D4×C59—42no—
712D4×C59—42no—
713D4×C59—81no—
714D4×C59—81no—
715D4×C59—81no—
716D4×C59C2×#4112yes—
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—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
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×C59C2511yescharacteristic
734C22⋊D59—41no—
735C22⋊D59—41no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—81no—
741C2×Dic59—22no—
742C2×Dic59—22no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—41no—
751C2×Dic59—41no—
752C2×Dic59—42no—
753C2×Dic59—42no—
754C2×Dic59—42no—
755C2×Dic59—42no—
756C2×Dic59—42no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59—81no—
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767D236—21no—
768D236C2×#4112yes—
769C4×D59—21no—
770C4×D59—21no—
771C4×D59—22no—
772C4×D59—41no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—81no—
779C4×D59—81no—
780Dic118—21no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—41no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—22no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—84no—
813C22×C59C23×D411yescharacteristic
814C2×D59—21no—
815C2×D59—21no—
816C2×D59—22no—
817C2×D59—21no—
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×C59C22×#4111yescharacteristic
831C4×C59#58511yescharacteristic
832Dic59—21no—
833Dic59—21no—
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#57512yes—
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#3319D5911yescharacteristic, complemented
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)—591no—
876C4×#135—591no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59—42no—
880C2×C59—81no—
881C2×C59—81no—
882C2×C59D4×#4111yescharacteristic
883C2×C59C2×#57511yescharacteristic
884C2×C59#358411yescharacteristic
885D59—41no—
886D59—42no—
887C2×AGL(1,ℤ/8)—591no—
888C2×AGL(1,ℤ/8)—591no—
889C2×#135—591no—
890#556—591no—
891#556—591no—
892#555—591no—
893#555C2×D5911yescharacteristic
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#546C2×D5911yescharacteristic, complemented
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×#41—591no—
931C2×C4×D4—591no—
932C2×C4×D4—591no—
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#489C2×D5911yescharacteristic, complemented
945#488—591no—
946#488—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485C2×D5911yescharacteristic, complemented
953#484—591no—
954#484—591no—
955#482—591no—
956#482C2×D5911yescharacteristic, complemented
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#474C2×D5911yescharacteristic, complemented
971#470—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#468C2×D5911yescharacteristic
979#467—591no—
980#466C2×D5911yescharacteristic
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#463C2×D5911yescharacteristic
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#449C2×D5911yescharacteristic
1005#447—591no—
1006#447C2×D5911yescharacteristic
1007#446—591no—
1008#446—591no—
1009#442—591no—
1010#442—591no—
1011#442—591no—
1012#442C2×D5911yescharacteristic
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
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×SD16—591no—
1031C4×SD16—591no—
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036C4×D8—591no—
1037#436—591no—
1038#436—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435C2×D5911yescharacteristic, complemented
1043#431—591no—
1044#431—591no—
1045#431—591no—
1046#428—591no—
1047#428—591no—
1048#427—591no—
1049#418—591no—
1050#418C2×D5911yescharacteristic, complemented
1051#417—591no—
1052#417—591no—
1053#416—591no—
1054#416C2×D5911yescharacteristic, complemented
1055C4×M16—591no—
1056C4×M16—591no—
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—1181no—
1067C23×C4—1181no—
1068AGL(1,ℤ/8)—1184no—
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×SD16—591no—
1082C2×SD16C22×D5911yescharacteristic
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8C22×D5911yescharacteristic
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C2×M16C22×D5911yescharacteristic
1091C22×C8—591no—
1092C22×C8C22×D5911yescharacteristic
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8C22×D5911yescharacteristic
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—21no—
1120#124—21no—
1121#124—591no—
1122#124—591no—
1123#124—591no—
1124#124—1181no—
1125#124—1181no—
1126#124C22×D5911yescharacteristic
1127#123—21no—
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—1181no—
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⋊Q8C22×D5911yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—591no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121C22×D5911yescharacteristic
1171#121C22×D5911yescharacteristic
1172#121C22×D5911yescharacteristic
1173#120—21no—
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—591no—
1186C4×Q8—591no—
1187C4×Q8—1181no—
1188C4×Q8—1181no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
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—1181no—
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×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
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—1181no—
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#117C22×D5911yescharacteristic
1247#117C22×D5911yescharacteristic
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—1181no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
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—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—1181no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42—1181no—
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#106—591no—
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330#97C22×D5911yescharacteristic
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8—591no—
1336C4×C8—591no—
1337C24—21no—
1338C24—1181no—
1339#41—22no—
1340#41—41no—
1341#41—1182no—
1342#41—1182no—
1343#41—1182no—
1344#41—2361no—
1345#41—2361no—
1346#41—2362no—
1347#41—2361no—
1348C2×Q8—21no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—591no—
1352C2×Q8—591no—
1353C2×Q8—1181no—
1354C2×Q8C23×D5911yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—591no—
1363C2×D4—591no—
1364C2×D4—591no—
1365C2×D4—1181no—
1366C2×D4—1182no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—2361no—
1372C2×D4D4×D5911yescharacteristic
1373C2×D4C23×D5911yescharacteristic
1374C2×D4C23×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—1181no—
1387C22×C4—1181no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
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×C4—2364no—
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—1182no—
1406Q16—2361no—
1407Q16—2361no—
1408Q16—2361no—
1409SD16—41no—
1410SD16—1182no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—1182no—
1416SD16—2361no—
1417D8—22no—
1418D8—41no—
1419D8—594no—
1420D8—1182no—
1421M16—41no—
1422M16—1182no—
1423M16—1182no—
1424M16—2361no—
1425C2×C8—41no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—591no—
1430C2×C8—1182no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—591no—
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—1181no—
1447C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
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—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—591no—
1494C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1522C22⋊C4D4×D5911yescharacteristic
1523C42—21no—
1524C42—21no—
1525C42—591no—
1526C42—591no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—591no—
1552C23—1181no—
1553C23—4721no—
1554C23—2362no—
1555C23—2362no—
1556C23C2×D4×D5911yescharacteristic
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—1181no—
1567Q8—4721no—
1568Q8—2361no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—592no—
1581D4—1181no—
1582D4—4721no—
1583D4—2361no—
1584D4—2361no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4#41×D5912yes—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—81no—
1602C2×C4—591no—
1603C2×C4—591no—
1604C2×C4—591no—
1605C2×C4—591no—
1606C2×C4—591no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—1182no—
1610C2×C4—1182no—
1611C2×C4—1182no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—4721no—
1622C2×C4—4721no—
1623C2×C4—4721no—
1624C2×C4—2361no—
1625C2×C4—2362no—
1626C2×C4—2362no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4—2362no—
1632C2×C4—2362no—
1633C2×C4—2361no—
1634C2×C4—2361no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4—2362no—
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—21no—
1648C8—592no—
1649C8—1181no—
1650C8—1181no—
1651C8—1181no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—1181no—
1669C22—1181no—
1670C22—1182no—
1671C22—1181no—
1672C22—4724no—
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—592no—
1686C4—1181no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—1181no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4C2×#41×D5911yescharacteristic
1700C4#1683823711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—81no—
1706C2—2361no—
1707C2—2362no—
1708C2#2143758011yescharacteristic
1709C2#575×D5911yescharacteristic
1710C2#2143886411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21437653C2semidirect
2. #21437647C2semidirect
3. #21437174C2semidirect
4. #21437049C2semidirect
5. #21436924C2semidirect
6. #21436922C2semidirect
7. #21436664C2semidirect
8. #21436611C2semidirect
9. #21436609C2semidirect
10. #21436308C2semidirect
11. #21436307C2semidirect
12. #21436258C2semidirect
13. #21436194C2semidirect
14. #21436188C2semidirect
15. #21435707C2semidirect
16. #21435617C2semidirect
17. #21435614C2semidirect
18. #21434705C2semidirect
19. #21434695C2semidirect
20. #21434661C2semidirect
21. #21434169C2semidirect
22. #21434162C2semidirect
23. #21434142C2semidirect
24. #21434138C2semidirect
25. #21434109C2semidirect
26. #21434107C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. #21432900C2semidirect
30. #21432864C2semidirect
31. C59×#3319C2semidirect
35. #16838122C22semidirect
36. #16838121C22semidirect
38. #16838113C22semidirect
39. #16838111C22semidirect
43. #16838092C22semidirect
46. #16838091C22semidirect
55. #16838049C22semidirect
57. #16837957C22semidirect
58. #16837954C22semidirect
61. #16837933C22semidirect
62. #16837933C22semidirect
69. #41×Dic59C22semidirect
71. #16837870C22semidirect
74. C2×D4×Dic59C22semidirect
75. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837803C22semidirect
81. #16837797C22semidirect
82. #16837793C22semidirect
84. #16837771C22semidirect
85. #16837769C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837755C22semidirect
89. #16837745C22semidirect
90. #16837745C22semidirect
91. #16837744C22semidirect
92. #16837743C22semidirect
93. #16837743C22semidirect
94. #16837738C22semidirect
95. #16837736C22semidirect
96. #16837723C22semidirect
99. #16837712C22semidirect
100. #16837711C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837702C22semidirect
105. #16837700C22semidirect
106. #16837700C22semidirect
107. #16837686C22semidirect
108. #16837684C22semidirect
109. #16837681C22semidirect
110. #16837660C22semidirect
111. #16837659C22semidirect
112. #16837659C22semidirect
113. #16837658C22semidirect
117. #16837643C22semidirect
118. #16837629C22semidirect
119. #16837629C22semidirect
120. #16837623C22semidirect
121. #16837622C22semidirect
127. #16837613C22semidirect
128. #16837611C22semidirect
129. #16837607C22semidirect
130. #16837606C22semidirect
132. #16837566C22semidirect
135. #16837564C22semidirect
137. #16837553C22semidirect
138. #16837551C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
146. #16837504C22semidirect
147. #16837502C22semidirect
148. #16837499C22semidirect
149. #16837499C22semidirect
150. #16837496C22semidirect
151. #16837496C22semidirect
152. #16837494C22semidirect
153. #16837494C22semidirect
154. #16837494C22semidirect
155. #16837493C22semidirect
156. #16837493C22semidirect
157. #16837493C22semidirect
158. #16837493C22semidirect
159. #16837493C22semidirect
160. #16837493C22semidirect
161. SD16×Dic59C22semidirect
162. #16837489C22semidirect
163. #16837487C22semidirect
164. #16837487C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837445C22semidirect
179. #16837441C22semidirect
180. #16837438C22semidirect
181. #16837405C22semidirect
184. #16837399C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
609. #11745669#41semidirect
858. #3319D59semidirect
913. #546C2×D59semidirect
944. #489C2×D59semidirect
952. #485C2×D59semidirect
956. #482C2×D59semidirect
970. #474C2×D59semidirect
1042. #435C2×D59semidirect
1050. #418C2×D59semidirect
1054. #416C2×D59semidirect
1058. C59#61442semidirect

Maximal subgroups

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

subgroupindex
#214376532
#214376472
#214371742
#214370492
#214369242
#214369222
#214366642
#214366112
#214366092
#214363082
#214363072
#214362582
#214361942
#214361882
#214357072
#214356172
#214356142
#214347052
#214346952
#214346612
#214341692
#214341622
#214341422
#214341382
#214341092
#214341072
#214330562
#214329072
#214329002
#214328642
C59×#33192
#6144259