Finite Group Databasebeta

← #29470414

Subgroups — #29470414

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#21437661C211yesmaximal, characteristic, complemented
2#21437653C211yesmaximal, characteristic, complemented
3#21437176C211yesmaximal, characteristic, complemented
4#21437051C211yesmaximal, characteristic, complemented
5#21436930C211yesmaximal, characteristic, complemented
6#21436926C211yesmaximal, characteristic, complemented
7#21436667C211yesmaximal, characteristic, complemented
8#21436607C211yesmaximal, characteristic, complemented
9#21436315C211yesmaximal, characteristic, complemented
10#21436310C211yesmaximal, characteristic, complemented
11#21436250C211yesmaximal, characteristic, complemented
12#21436246C211yesmaximal, characteristic, complemented
13#21436190C211yesmaximal, characteristic, complemented
14#21436186C211yesmaximal, characteristic, complemented
15#21435704C211yesmaximal, characteristic, complemented
16#21435626C211yesmaximal, characteristic, complemented
17#21435618C211yesmaximal, characteristic, complemented
18#21434704C211yesmaximal, characteristic, complemented
19#21434695C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434170C211yesmaximal, characteristic, complemented
22#21434162C211yesmaximal, characteristic, complemented
23#21434148C211yesmaximal, characteristic, complemented
24#21434140C211yesmaximal, characteristic, complemented
25#21434117C211yesmaximal, characteristic, complemented
26#21434109C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432903C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30#21432867C211yesmaximal, characteristic, complemented
31C59×#3348C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273749C2211yescharacteristic
35#16838124C2211yescharacteristic, complemented
36#16838122C2211yescharacteristic, complemented
37#16838115C2211yescharacteristic
38#16838113C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838103—21no—
41#16838099—21no—
42#16838091—21no—
43#16838091C2211yescharacteristic
44#16838091C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic
46#16838084—21no—
47#16838082—21no—
48#16838082—21no—
49#16838076—21no—
50#16838075—21no—
51#16838057C2211yescharacteristic
52#16838054C2211yescharacteristic
53#16838049C2211yescharacteristic
54#16838049C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic, complemented
56#16838043C2211yescharacteristic
57#16837957C2211yescharacteristic, complemented
58#16837954C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic, complemented
60#16837937—21no—
61#16837937C2211yescharacteristic
62#16837935—21no—
63#16837933C2211yescharacteristic
64#16837933C2211yescharacteristic, complemented
65#16837931—21no—
66#16837931—21no—
67#16837912—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic
70#16837870C2211yescharacteristic
71#16837870C2211yescharacteristic, complemented
72#16837870C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C2×#14273689C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76#117×D59—21no—
77#117×D59—21no—
78#16837810C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic
83#16837772C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic
97#16837712C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837661C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic
112#16837649C2211yescharacteristic
113#16837646C2211yescharacteristic
114#16837641C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic
116#16837631C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic
120#16837618C2211yescharacteristic
121#16837617C2211yescharacteristic
122#16837616C2211yescharacteristic
123#16837616C2211yescharacteristic
124#16837616C2211yescharacteristic
125#16837612C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837608C2211yescharacteristic, complemented
128#16837606C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic
130#16837567C2211yescharacteristic
131#16837566C2211yescharacteristic
132#16837566C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic
134#16837562C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic
138#16837545C2211yescharacteristic
139#16837537C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837513C2211yescharacteristic
145#16837513C2211yescharacteristic
146#16837512C2211yescharacteristic
147#16837501C2211yescharacteristic, complemented
148#16837501C2211yescharacteristic, complemented
149#16837500C2211yescharacteristic, complemented
150#16837496C2211yescharacteristic, complemented
151#16837496C2211yescharacteristic, complemented
152#16837496C2211yescharacteristic, complemented
153#16837494C2211yescharacteristic, complemented
154#16837494C2211yescharacteristic, complemented
155#16837493C2211yescharacteristic, complemented
156SD16×Dic59C2211yescharacteristic, complemented
157#16837489C2211yescharacteristic, complemented
158#16837489C2211yescharacteristic, complemented
159#16837489C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162#16837489C2211yescharacteristic, complemented
163#16837489C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic
166#16837484C2211yescharacteristic
167#16837484C2211yescharacteristic
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#16837443C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic
182#16837401C2211yescharacteristic
183#16837396C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic
189C59×#552C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#485C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic
195C59×#478C2211yescharacteristic, complemented
196C59×#475C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic
198C59×#465C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C59×#427C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59C2311yescharacteristic
210C22×C4×D59—21no—
211C22×C4×D59—21no—
212#14273755—24no—
213#14273754—24no—
214#14273749—24no—
215C2×Dic236C2311yescharacteristic
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273721—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719—21no—
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273717—21no—
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715C2311yescharacteristic
259#14273714C2311yescharacteristic
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273711—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273708—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273703—21no—
291#14273703—21no—
292#14273703—21no—
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273698—21no—
300#14273698—21no—
301#14273698—21no—
302#14273697—21no—
303#14273695—21no—
304#14273695—21no—
305#14273695—21no—
306Q8×Dic59—21no—
307Q8×Dic59C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309#14273692—21no—
310#14273692D411yescharacteristic
311#14273692C2311yescharacteristic
312#14273692C2311yescharacteristic
313#14273692C2311yescharacteristic
314#14273692C2311yescharacteristic
315#14273692C2311yescharacteristic
316#14273692C2311yescharacteristic
317C4×D236—21no—
318C4×D236C2311yescharacteristic
319C4×D236C2311yescharacteristic
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59D411yescharacteristic
323D4×Dic59C2311yescharacteristic
324#14273689—21no—
325#14273689—21no—
326#14273689—21no—
327#14273689—21no—
328#14273689C2311yescharacteristic
329#14273689C2311yescharacteristic
330#14273689C2311yescharacteristic
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336C4×C22⋊D59—21no—
337C4×C22⋊D59C2311yescharacteristic
338C4×C22⋊D59C2311yescharacteristic
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4D411yescharacteristic
348(C22⋊D59)⋊C4D411yescharacteristic
349#14273686—21no—
350#14273686—21no—
351#14273685—21no—
352#14273685—21no—
353#14273685—21no—
354#14273685—21no—
355#14273685D411yescharacteristic
356#14273685C2311yescharacteristic
357#14273684—21no—
358#14273684—21no—
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683D411yescharacteristic
368#14273683D411yescharacteristic
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59C2311yescharacteristic
381C2×C4×Dic59C2311yescharacteristic
382C42×D59—21no—
383C42×D59—21no—
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
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×SD16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59—21no—
446#124×C59—21no—
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59—21no—
457#117×C59—21no—
458#117×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460#117×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59C2411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59C2×D411yescharacteristic
499C2×C22⋊D59C2×D411yescharacteristic
500C22×Dic59—21no—
501C22×Dic59C2×D411yescharacteristic
502C22×Dic59C2×D411yescharacteristic
503C22×Dic59C2×D411yescharacteristic
504C22×Dic59C2×D411yescharacteristic
505#11745689—22no—
506#11745689—41no—
507#11745687—42no—
508D4×D59—22no—
509D4×D59—41no—
510#11745685—22no—
511#11745685—22no—
512#11745685—22no—
513#11745685—41no—
514#11745685—41no—
515#11745685—41no—
516C2×D236—22no—
517C2×D236—21no—
518C2×D236—21no—
519C2×D236—21no—
520C2×D236—41no—
521C2×D236C2411yescharacteristic
522C2×D236C2411yescharacteristic
523C2×D236C2411yescharacteristic
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
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—44no—
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—22no—
550M16×C59—22no—
551C2×C8×C59—22no—
552C2×C8×C59C2411yescharacteristic
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59C2×D411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C4⋊C4×C59C2411yescharacteristic
567C4⋊C4×C59C2411yescharacteristic
568C4⋊C4×C59C2411yescharacteristic
569C4⋊C4×C59C2411yescharacteristic
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59C2×D411yescharacteristic
579C22⋊C4×C59C2×D411yescharacteristic
580C42×C59—21no—
581C42×C59—21no—
582C42×C59—21no—
583C42×C59—21no—
584C42×C59C2411yescharacteristic
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#11745671—22no—
598#11745670—41no—
599#11745669—22no—
600#11745669—41no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
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)⋊C4—21no—
620(C2×D59)⋊C4—21no—
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⋊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⋊C4C2×D411yescharacteristic
652Dic59⋊C4C2×D411yescharacteristic
653Dic59⋊C4C2×D411yescharacteristic
654Dic59⋊C4C2×D411yescharacteristic
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59C2×D411yescharacteristic
664C4×Dic59C2×D411yescharacteristic
665C4×Dic59C2×D411yescharacteristic
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2411yescharacteristic
670C4×Dic59C2411yescharacteristic
671C4×Dic59C2411yescharacteristic
672#11745664—41no—
673C2×C59⋊C8—41no—
674C2×C59⋊C8C2411yescharacteristic
675C2×C59⋊C8C2411yescharacteristic
676C2×C59⋊C8C2411yescharacteristic
677C2×C59⋊C8C2411yescharacteristic
678Dic236—22no—
679Dic236—41no—
680D472—22no—
681D472#4114yescomplemented
682#11745660—22no—
683#11745660—22no—
684#11745660—22no—
685#11745660—22no—
686#11745660—41no—
687#11745659—22no—
688#11745659—41no—
689C23×C59—21no—
690C23×C59C22×D411yescharacteristic
691C23×C59C22×D411yescharacteristic
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—81no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704Q8×C59—81no—
705D4×C59—21no—
706D4×C59—21no—
707D4×C59—41no—
708D4×C59—81no—
709D4×C59—81no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
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—21no—
721C2×C4×C59—42no—
722C2×C4×C59—42no—
723C2×C4×C59C22×D411yescharacteristic
724C2×C4×C59C22×D411yescharacteristic
725C2×C4×C59C22×D411yescharacteristic
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C2511yescharacteristic
728C22⋊D59—41no—
729C22⋊D59—41no—
730C22⋊D59—42no—
731C22⋊D59—42no—
732C22⋊D59—42no—
733C22⋊D59—42no—
734C22⋊D59—81no—
735C2×Dic59—22no—
736C2×Dic59—22no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—41no—
743C2×Dic59—41no—
744C2×Dic59—42no—
745C2×Dic59C22×D411yescharacteristic
746C2×Dic59C22×D411yescharacteristic
747C2×Dic59C22×D411yescharacteristic
748C2×Dic59C22×D411yescharacteristic
749C2×Dic59C22×D411yescharacteristic
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752D236—21no—
753D236—21no—
754D236—21no—
755D236—21no—
756D236—42no—
757D236—42no—
758D236—81no—
759D236C2×#4112yes—
760D236C2×#4112yes—
761C4×D59—21no—
762C4×D59—21no—
763C4×D59—22no—
764C4×D59—41no—
765C4×D59—42no—
766C4×D59—42no—
767C4×D59—42no—
768C4×D59—42no—
769C4×D59—42no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—81no—
777C4×D59—81no—
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×C59C2×#4112yes—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8—21no—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59C23×D411yescharacteristic
807C2×D59—21no—
808C2×D59—21no—
809C2×D59—22no—
810C2×D59—22no—
811C2×D59—21no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—84no—
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—41no—
831C4×C59—41no—
832C4×C59C22×#4111yescharacteristic
833C4×C59#58511yescharacteristic
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—21no—
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#3348D5911yescharacteristic, complemented
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)—591no—
876C4×#135—591no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59—81no—
880C2×C59D4×#4111yescharacteristic
881C2×C59C2×#57511yescharacteristic
882C2×C59#358411yescharacteristic
883D59—41no—
884D59—42no—
885D59—42no—
886D59—81no—
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—1181no—
902#552—1181no—
903#552C2×D5911yescharacteristic, complemented
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×#41—591no—
931C2×C4×D4—591no—
932C2×C4×D4—591no—
933C2×#117—1181no—
934C2×#117—1181no—
935#501—591no—
936#501C2×D5911yescharacteristic, complemented
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#485C2×D5911yescharacteristic, complemented
952#485C2×D5911yescharacteristic, complemented
953#484—591no—
954#484—591no—
955#482—591no—
956#482C2×D5911yescharacteristic, complemented
957#481—591no—
958#481C2×D5911yescharacteristic
959#479—591no—
960#479—591no—
961#478—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#478C2×D5911yescharacteristic, complemented
967#475—591no—
968#475C2×D5911yescharacteristic, complemented
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#468C2×D5911yescharacteristic
979#467—591no—
980#466—591no—
981#465—591no—
982#465C2×D5911yescharacteristic, complemented
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#442—591no—
1012#442—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
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×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#428C2×D5911yescharacteristic, complemented
1048#427C2×D5911yescharacteristic, complemented
1049#418—591no—
1050#418—591no—
1051#417—591no—
1052#417—591no—
1053#416—591no—
1054#416—591no—
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×#41—591no—
1064C22×D4—591no—
1065C22×D4—591no—
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×D8—591no—
1086C2×D8—591no—
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—21no—
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—21no—
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#125C22×D5911yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—591no—
1122#124—591no—
1123#124—591no—
1124#124—591no—
1125#124—1181no—
1126#124—1181no—
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—1181no—
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⋊Q8C22×D5911yescharacteristic
1160C22⋊Q8C22×D5911yescharacteristic
1161#121—21no—
1162#121—591no—
1163#121—591no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121C22×D5911yescharacteristic
1172#121C22×D5911yescharacteristic
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—591no—
1186C4×Q8—1181no—
1187C4×Q8—1181no—
1188C4×Q8C22×D5911yescharacteristic
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—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×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223#117—21no—
1224#117—21no—
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#117C22×D5911yescharacteristic
1246#117C22×D5911yescharacteristic
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—1181no—
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#107C22×D5911yescharacteristic
1272#107C22×D5911yescharacteristic
1273#107C22×D5911yescharacteristic
1274#107C22×D5911yescharacteristic
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106C22×D5911yescharacteristic
1279#106C22×D5911yescharacteristic
1280#106C22×D5911yescharacteristic
1281#106C22×D5911yescharacteristic
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#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
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—1181no—
1338C24—1181no—
1339#41—1182no—
1340#41—1182no—
1341#41—1182no—
1342#41—1182no—
1343#41—2361no—
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—21no—
1356C2×D4—21no—
1357C2×D4—591no—
1358C2×D4—591no—
1359C2×D4—591no—
1360C2×D4—591no—
1361C2×D4—591no—
1362C2×D4—1182no—
1363C2×D4—1181no—
1364C2×D4—1181no—
1365C2×D4—1181no—
1366C2×D4—1182no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4D4×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—1181no—
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—22no—
1410SD16—1182no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—2361no—
1416SD16—2361no—
1417D8—594no—
1418D8—1182no—
1419D8—1182no—
1420D8—2361no—
1421M16—22no—
1422M16—1182no—
1423M16—2361no—
1424M16—2361no—
1425C2×C8—22no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—591no—
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—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1475C4⋊C4C23×D5911yescharacteristic
1476C4⋊C4C23×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—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1522C22⋊C4D4×D5911yescharacteristic
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—591no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—4721no—
1551C23—4721no—
1552C23—2362no—
1553C23—2362no—
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—41no—
1572D4—81no—
1573D4—81no—
1574D4—592no—
1575D4—592no—
1576D4—1181no—
1577D4—1181no—
1578D4—1181no—
1579D4—1181no—
1580D4—4721no—
1581D4—4721no—
1582D4—2362no—
1583D4—2362no—
1584D4—2361no—
1585D4—2361no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4—2362no—
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—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—591no—
1604C2×C4—591no—
1605C2×C4—591no—
1606C2×C4—591no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—591no—
1610C2×C4—1182no—
1611C2×C4—1182no—
1612C2×C4—1182no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—4721no—
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—2362no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2361no—
1638C2×C4—2361no—
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—
1651C8#41×D5912yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—1181no—
1662C22—1181no—
1663C22—1182no—
1664C22—1182no—
1665C22—1181no—
1666C22—4724no—
1667C22—4724no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
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—41no—
1686C4—41no—
1687C4—592no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—1181no—
1692C4—1181no—
1693C4—1181no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4C2×#41×D5911yescharacteristic
1700C4#1683823911yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—4721no—
1705C2—2361no—
1706C2—2362no—
1707C2—2362no—
1708C2#2143758311yescharacteristic
1709C2#575×D5911yescharacteristic
1710C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3348C2
socleC22×C59C23×D4
hypercenter#3348D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #21437661C2semidirect
2. #21437653C2semidirect
3. #21437176C2semidirect
4. #21437051C2semidirect
5. #21436930C2semidirect
6. #21436926C2semidirect
7. #21436667C2semidirect
8. #21436607C2semidirect
9. #21436315C2semidirect
10. #21436310C2semidirect
11. #21436250C2semidirect
12. #21436246C2semidirect
13. #21436190C2semidirect
14. #21436186C2semidirect
15. #21435704C2semidirect
16. #21435626C2semidirect
17. #21435618C2semidirect
18. #21434704C2semidirect
19. #21434695C2semidirect
20. #21434659C2semidirect
21. #21434170C2semidirect
22. #21434162C2semidirect
23. #21434148C2semidirect
24. #21434140C2semidirect
25. #21434117C2semidirect
26. #21434109C2semidirect
27. #21433056C2semidirect
28. #21432903C2semidirect
29. #21432901C2semidirect
30. #21432867C2semidirect
31. C59×#3348C2semidirect
35. #16838124C22semidirect
36. #16838122C22semidirect
38. #16838113C22semidirect
39. #16838108C22semidirect
44. #16838091C22semidirect
54. #16838049C22semidirect
55. #16838048C22semidirect
57. #16837957C22semidirect
58. #16837954C22semidirect
59. #16837938C22semidirect
64. #16837933C22semidirect
71. #16837870C22semidirect
72. #16837870C22semidirect
74. C2×#14273689C22semidirect
75. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837802C22semidirect
80. #16837796C22semidirect
81. #16837793C22semidirect
83. #16837772C22semidirect
84. #16837769C22semidirect
85. #16837764C22semidirect
86. #16837760C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837746C22semidirect
90. #16837746C22semidirect
91. #16837743C22semidirect
92. #16837743C22semidirect
93. #16837739C22semidirect
94. #16837737C22semidirect
95. #16837726C22semidirect
97. #16837712C22semidirect
98. #16837708C22semidirect
99. #16837705C22semidirect
100. #16837701C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837686C22semidirect
105. #16837681C22semidirect
106. #16837679C22semidirect
107. #16837661C22semidirect
108. #16837661C22semidirect
109. #16837660C22semidirect
110. #16837658C22semidirect
114. #16837641C22semidirect
116. #16837631C22semidirect
117. #16837627C22semidirect
118. #16837623C22semidirect
125. #16837612C22semidirect
126. #16837611C22semidirect
127. #16837608C22semidirect
128. #16837606C22semidirect
132. #16837566C22semidirect
134. #16837562C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
147. #16837501C22semidirect
148. #16837501C22semidirect
149. #16837500C22semidirect
150. #16837496C22semidirect
151. #16837496C22semidirect
152. #16837496C22semidirect
153. #16837494C22semidirect
154. #16837494C22semidirect
155. #16837493C22semidirect
156. SD16×Dic59C22semidirect
157. #16837489C22semidirect
158. #16837489C22semidirect
159. #16837489C22semidirect
160. #16837489C22semidirect
161. #16837489C22semidirect
162. #16837489C22semidirect
163. #16837489C22semidirect
164. #16837487C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837443C22semidirect
179. #16837406C22semidirect
180. #16837405C22semidirect
183. #16837396C22semidirect
184. #16837396C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
189. C59×#552C22semidirect
190. C59×#501C22semidirect
191. C59×#485C22semidirect
192. C59×#485C22semidirect
193. C59×#482C22semidirect
195. C59×#478C22semidirect
196. C59×#475C22semidirect
198. C59×#465C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C59×#427C22semidirect
681. D472#41semidirect
854. #3348D59semidirect
903. #552C2×D59semidirect
936. #501C2×D59semidirect
951. #485C2×D59semidirect
952. #485C2×D59semidirect
956. #482C2×D59semidirect
966. #478C2×D59semidirect
968. #475C2×D59semidirect
982. #465C2×D59semidirect
1016. #440C2×D59semidirect
1042. #435C2×D59semidirect
1047. #428C2×D59semidirect
1048. #427C2×D59semidirect
1058. C59#61442semidirect

Maximal subgroups

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

subgroupindex
#214376612
#214376532
#214371762
#214370512
#214369302
#214369262
#214366672
#214366072
#214363152
#214363102
#214362502
#214362462
#214361902
#214361862
#214357042
#214356262
#214356182
#214347042
#214346952
#214346592
#214341702
#214341622
#214341482
#214341402
#214341172
#214341092
#214330562
#214329032
#214329012
#214328672
C59×#33482
#6144259