Finite Group Databasebeta

← #29465846

Subgroups — #29465846

Order 15104.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D59C211yesmaximal, characteristic, complemented
2#21437585C211yesmaximal, characteristic, complemented
3#21436349C211yesmaximal, characteristic, complemented
4#21436299C211yesmaximal, characteristic, complemented
5#21436291C211yesmaximal, characteristic, complemented
6#21436268C211yesmaximal, characteristic, complemented
7#21436260C211yesmaximal, characteristic, complemented
8#21436240C211yesmaximal, characteristic, complemented
9#21436232C211yesmaximal, characteristic, complemented
10#21436103C211yesmaximal, characteristic, complemented
11#21436095C211yesmaximal, characteristic, complemented
12#21436075C211yesmaximal, characteristic, complemented
13#21436067C211yesmaximal, characteristic, complemented
14#21436003C211yesmaximal, characteristic, complemented
15#21435995C211yesmaximal, characteristic, complemented
16#21435953C211yesmaximal, characteristic, complemented
17#21435945C211yesmaximal, characteristic, complemented
18#21434493C211yesmaximal, characteristic, complemented
19#21434024C211yesmaximal, characteristic, complemented
20#21434020C211yesmaximal, characteristic, complemented
21#21433915C211yesmaximal, characteristic, complemented
22#21433714C211yesmaximal, characteristic, complemented
23#21433710C211yesmaximal, characteristic, complemented
24#21433558C211yesmaximal, characteristic, complemented
25#21433347C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27C4×#14273754C211yesmaximal, characteristic, complemented
28#21432832C211yesmaximal, characteristic, complemented
29#21432614C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3326C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×M16×D59C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838105C2211yescharacteristic, complemented
40#16838104C2211yescharacteristic, complemented
41#16838103—21no—
42#16838102C2211yescharacteristic, complemented
43#16838101—21no—
44#16838100C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic
46#16838098C2211yescharacteristic, complemented
47#16838097—21no—
48#16838096C2211yescharacteristic
49#16838095—21no—
50#16838071C2211yescharacteristic, complemented
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838054—21no—
54#16838054C2211yescharacteristic, complemented
55#16838048—21no—
56#16838048C2211yescharacteristic, complemented
57#16838045—21no—
58#16838045C2211yescharacteristic, complemented
59#16838036—21no—
60#16838036C2211yescharacteristic, complemented
61#16837951—21no—
62#16837951C2211yescharacteristic
63#126×D59—21no—
64#125×D59C2211yescharacteristic, complemented
65#16837915—21no—
66#16837915C2211yescharacteristic
67#16837912—21no—
68#16837912C2211yescharacteristic
69#123×D59—21no—
70#121×D59—21no—
71#121×D59C2211yescharacteristic, complemented
72#121×D59C2211yescharacteristic, complemented
73C4×#11745689C2211yescharacteristic
74C4×D4×D59—21no—
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic, complemented
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837701C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837632C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837550C2211yescharacteristic, complemented
131#16837549C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837545C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic, complemented
137#16837541C2211yescharacteristic, complemented
138#16837539C2211yescharacteristic, complemented
139#16837538C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837505C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic, complemented
147C4×#11745671C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837476C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156#16837467C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837403C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic
169#16837402C2211yescharacteristic
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837400C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—24no—
206C2×#11745689—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215#41×D59—24no—
216#41×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233#14273754—24no—
234#14273754—42no—
235#14273751—42no—
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251M16×D59—42no—
252M16×D59—42no—
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273725—21no—
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273715—21no—
274#14273715C2311yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273711—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273707—21no—
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706C2311yescharacteristic
292#14273703—21no—
293#14273703C2311yescharacteristic
294#14273702—21no—
295#14273702—21no—
296#14273702C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273698—21no—
319#14273698—21no—
320#14273698C2311yescharacteristic
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326#14273695—21no—
327#14273695—21no—
328#14273695—21no—
329Q8×Dic59C2311yescharacteristic
330C4×D236—21no—
331C4×D236—21no—
332C4×D236—21no—
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59—21no—
337D4×Dic59—21no—
338D4×Dic59D411yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689D411yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4D411yescharacteristic
361(C22⋊D59)⋊C4D411yescharacteristic
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273683—21no—
369C2×C4⋊Dic59C2311yescharacteristic
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59D411yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59D411yescharacteristic
389C22⋊C4×D59D411yescharacteristic
390C42×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—44no—
537#11745689—41no—
538#11745689—41no—
539#11745689—44no—
540#11745689#4114yes—
541Q8×D59—22no—
542Q8×D59—41no—
543#11745687—22no—
544#11745687—22no—
545#11745687—44no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—42no—
551D4×D59—44no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—82no—
555#11745685—22no—
556#11745685—41no—
557#11745685—44no—
558C2×D236—21no—
559C2×D236—22no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—41no—
568C2×D236—44no—
569C2×D236C2×D411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×D236C2411yescharacteristic
573C2×C4×D59—21no—
574C2×C4×D59—22no—
575C2×C4×D59—22no—
576C2×C4×D59—22no—
577C2×C4×D59—22no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—44no—
593C2×C4×D59—44no—
594C2×C4×D59—82no—
595C2×C4×D59—82no—
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×Dic118—21no—
606C2×Dic118C2411yescharacteristic
607SD16×C59—22no—
608SD16×C59—41no—
609D8×C59—41no—
610M16×C59—41no—
611M16×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C42×C59—21no—
637C42×C59—21no—
638C42×C59C2411yescharacteristic
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745671—22no—
648#11745671—41no—
649#11745670—41no—
650#11745669—22no—
651#11745669—41no—
652#11745669—41no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2×D411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714D472—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—22no—
719#11745659—22no—
720C8×D59—41no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—21no—
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—22no—
732C22×D59—21no—
733C22×D59—21no—
734C22×D59—41no—
735C22×D59—41no—
736C22×D59—41no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—21no—
752Q8×C59—42no—
753Q8×C59C2×#4112yes—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—41no—
759D4×C59—42no—
760D4×C59—42no—
761D4×C59—42no—
762D4×C59—81no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—42no—
774C2×C4×C59—42no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C2511yescharacteristic
782C22⋊D59—22no—
783C22⋊D59—41no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C2×Dic59—22no—
797C2×Dic59—22no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—42no—
804C2×Dic59—81no—
805C2×Dic59—81no—
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811D236—24no—
812D236—22no—
813D236—21no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—42no—
819D236—42no—
820D236—42no—
821D236—42no—
822D236—42no—
823D236—42no—
824D236—81no—
825D236C2×#4112yes—
826C4×D59—22no—
827C4×D59—22no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—22no—
833C4×D59—22no—
834C4×D59—24no—
835C4×D59—41no—
836C4×D59—41no—
837C4×D59—42no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59C2×#4112yes—
852C4×D59H(5,𝔽2)12yes—
853Dic118—21no—
854Dic118—21no—
855Dic118—42no—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61164—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59C23×D411yescharacteristic
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—22no—
885C2×D59—21no—
886C2×D59—44no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—82no—
896C2×D59—84no—
897C2×D59—84no—
898C2×D59—84no—
899C2×D59#54612yes—
900C2×D59#57512yes—
901C4×C59—21no—
902C4×C59—22no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59C22×#4111yescharacteristic
912C4×C59C2×H(5,𝔽2)11yescharacteristic
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923C2×#553—591no—
924D4×#41—591no—
925#3326—591no—
926#3326D5911yescharacteristic, complemented
927#3322—591no—
928#3322—591no—
929#3320—591no—
930#3320—591no—
931#3318—591no—
932#3318—591no—
933#3309—591no—
934#3309—591no—
935#3307—591no—
936#3307—591no—
937#3301—591no—
938#3301—591no—
939#3297—591no—
940#3297—591no—
941#3142—591no—
942#3093—591no—
943#3092—591no—
944#3080—591no—
945#3055—591no—
946#3055—591no—
947#3036—591no—
948#3006—591no—
949#3006—591no—
950C4×AGL(1,ℤ/8)—591no—
951D4×M16—591no—
952#2896—591no—
953C2×#417—591no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#54611yescharacteristic
959C2×C59C2×#57511yescharacteristic
960C2×C59#358511yescharacteristic
961D59—22no—
962D59—22no—
963D59—41no—
964D59—42no—
965D59—81no—
966D59—81no—
967C22×#41—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×AGL(1,ℤ/8)—591no—
971C2×AGL(1,ℤ/8)—591no—
972C22×M16—591no—
973C22×M16—591no—
974#553—591no—
975#553—591no—
976#553—591no—
977#553—591no—
978#553—591no—
979#553—591no—
980#553—591no—
981#553—1181no—
982#553—1181no—
983#553—1181no—
984#553—1181no—
985#553C2×D5911yescharacteristic, complemented
986#550—591no—
987D4×Q8—591no—
988#548—591no—
989#548C2×D5911yescharacteristic, complemented
990#547—591no—
991#547—1181no—
992#546—591no—
993#546—591no—
994#546—1181no—
995#546—1181no—
996D42—591no—
997D42—1181no—
998#532—591no—
999#532—1181no—
1000C2×#126—1181no—
1001C2×#125—591no—
1002#525—591no—
1003#525—591no—
1004#525—1181no—
1005#525—1181no—
1006C2×#123—1181no—
1007C2×#121—591no—
1008C2×#121—591no—
1009C2×#121—1181no—
1010C4×#41—591no—
1011C2×C4×D4—591no—
1012C2×C4×D4—591no—
1013C2×C4×D4—1181no—
1014C2×C4×D4—1181no—
1015C2×#117—591no—
1016C22×C4⋊C4—591no—
1017#491—591no—
1018#491—591no—
1019#490—591no—
1020#490—591no—
1021#488—591no—
1022#488—591no—
1023#488—591no—
1024#488C2×D5911yescharacteristic, complemented
1025#485—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#484—591no—
1030#484—591no—
1031#483—591no—
1032#483C2×D5911yescharacteristic, complemented
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#482C2×D5911yescharacteristic, complemented
1037#481—591no—
1038#481—591no—
1039#480—591no—
1040#480—591no—
1041#479—591no—
1042#479—591no—
1043#479—591no—
1044#479C2×D5911yescharacteristic, complemented
1045#478—591no—
1046#478—591no—
1047#478—591no—
1048#478—591no—
1049#469—591no—
1050#469—591no—
1051#469—591no—
1052#469C2×D5911yescharacteristic, complemented
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468C2×D5911yescharacteristic, complemented
1057#466—591no—
1058#466—591no—
1059#466—591no—
1060#466—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#463C2×D5911yescharacteristic, complemented
1069#461—591no—
1070#461—591no—
1071#459—591no—
1072#459—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#449—591no—
1078#449—591no—
1079#449—591no—
1080#449C2×D5911yescharacteristic, complemented
1081#448—591no—
1082#448—591no—
1083#448—591no—
1084#448C2×D5911yescharacteristic, complemented
1085#447—591no—
1086#447—591no—
1087#447—591no—
1088#447—591no—
1089#442—591no—
1090#442—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16C2×D5911yescharacteristic, complemented
1095C4×D8—591no—
1096C4×D8—591no—
1097#436—591no—
1098#436C2×D5911yescharacteristic, complemented
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435—591no—
1103C8×D4—591no—
1104C8×D4—591no—
1105#428—591no—
1106#428—591no—
1107#428—591no—
1108#423—591no—
1109#419—591no—
1110#419C2×D5911yescharacteristic, complemented
1111#418—591no—
1112#418—591no—
1113#418—591no—
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417—591no—
1122#417—591no—
1123#417—591no—
1124#417—591no—
1125#417—591no—
1126#417C2×D5911yescharacteristic, complemented
1127#416—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131C2×#103—591no—
1132C2×#103—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135#407—591no—
1136#407—591no—
1137C4×M16—591no—
1138C59#6116411yescharacteristic, complemented, Sylow
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1184no—
1150C2×#41—1184no—
1151C2×#41—2362no—
1152C2×#41—2362no—
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—591no—
1155C22×Q8C22×D5911yescharacteristic
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—1181no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—1181no—
1168C23×C4—1181no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—1184no—
1172AGL(1,ℤ/8)—2362no—
1173AGL(1,ℤ/8)—2362no—
1174C2×SD16—591no—
1175C2×SD16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16C22×D5911yescharacteristic
1179C2×SD16C22×D5911yescharacteristic
1180C2×D8—591no—
1181C2×D8—591no—
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8—591no—
1185C2×D8C22×D5911yescharacteristic
1186C2×M16—591no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—2362no—
1193C2×M16—2362no—
1194C2×M16C22×D5911yescharacteristic
1195C2×M16C22×D5911yescharacteristic
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C4⋊Q8—591no—
1201C4⋊Q8—1181no—
1202#127—591no—
1203#127—1181no—
1204#126—21no—
1205#126—1181no—
1206#126—1181no—
1207#126—1181no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#126—1181no—
1212#125—591no—
1213#125—591no—
1214#125—591no—
1215#125—1181no—
1216#125—1181no—
1217#125C22×D5911yescharacteristic
1218#124—21no—
1219#124—591no—
1220#124—1181no—
1221#124C22×D5911yescharacteristic
1222#123—21no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236C22⋊Q8—21no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—21no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121C22×D5911yescharacteristic
1276#121C22×D5911yescharacteristic
1277#121C22×D5911yescharacteristic
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282#120—1181no—
1283#120—1181no—
1284C4×Q8—591no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4C22×D5911yescharacteristic
1321C4×D4C22×D5911yescharacteristic
1322#117—591no—
1323#117—591no—
1324#117—591no—
1325#117—591no—
1326#117—1181no—
1327#117—1181no—
1328#117—1181no—
1329#117C22×D5911yescharacteristic
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—591no—
1337C2×C4⋊C4—1181no—
1338C2×C4⋊C4—1181no—
1339C2×C4⋊C4—1181no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4—1181no—
1342C2×C4⋊C4—1181no—
1343C2×C4⋊C4C22×D5911yescharacteristic
1344C2×C22⋊C4—591no—
1345C2×C22⋊C4—591no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C22⋊C4—1181no—
1350C2×C22⋊C4—1181no—
1351C2×C22⋊C4—1181no—
1352C2×C42—591no—
1353C2×C42—1181no—
1354C2×C42—1181no—
1355#107—591no—
1356#107—591no—
1357#107—591no—
1358#107—591no—
1359#107—591no—
1360#107C22×D5911yescharacteristic
1361#106—591no—
1362#106—591no—
1363#106—591no—
1364#106—591no—
1365#106C22×D5911yescharacteristic
1366#106C22×D5911yescharacteristic
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#103C22×D5911yescharacteristic
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97—591no—
1421C4×C8—591no—
1422C4×C8C22×D5911yescharacteristic
1423C24—591no—
1424C24—591no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—41no—
1430#41—594no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—2361no—
1440#41—2364no—
1441#41—2364no—
1442#41—2364no—
1443#41—2361no—
1444#41—2361no—
1445#41—2364no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—41no—
1449C2×Q8—591no—
1450C2×Q8—1181no—
1451C2×Q8—1182no—
1452C2×Q8—2361no—
1453C2×Q8C23×D5911yescharacteristic
1454C2×Q8C23×D5911yescharacteristic
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1182no—
1474C2×D4—1182no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1182no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—4722no—
1490C2×D4—2361no—
1491C2×D4—2364no—
1492C2×D4—2361no—
1493C2×D4—2362no—
1494C2×D4—2364no—
1495C2×D4—2364no—
1496C2×D4—2364no—
1497C2×D4D4×D5911yescharacteristic
1498C2×D4C23×D5911yescharacteristic
1499C2×D4C23×D5911yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—1181no—
1516C22×C4—1182no—
1517C22×C4—1182no—
1518C22×C4—1182no—
1519C22×C4—1182no—
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—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—4722no—
1538C22×C4—4722no—
1539C22×C4—2364no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543SD16—22no—
1544SD16—41no—
1545SD16—1182no—
1546SD16—2361no—
1547SD16—2361no—
1548SD16—2361no—
1549D8—41no—
1550D8—1182no—
1551D8—1182no—
1552D8—2361no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—41no—
1557M16—1182no—
1558M16—1182no—
1559M16—1182no—
1560M16—1182no—
1561M16—2361no—
1562M16—2361no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—591no—
1567C2×C8—2361no—
1568C2×C8—2361no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4D4×D5911yescharacteristic
1606C4⋊C4C23×D5911yescharacteristic
1607C4⋊C4C23×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4D4×D5911yescharacteristic
1648C22⋊C4D4×D5911yescharacteristic
1649C42—21no—
1650C42—21no—
1651C42—591no—
1652C42—591no—
1653C42—591no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—591no—
1663C23—591no—
1664C23—591no—
1665C23—1182no—
1666C23—1182no—
1667C23—1182no—
1668C23—1181no—
1669C23—1181no—
1670C23—1181no—
1671C23—4721no—
1672C23—4721no—
1673C23—2361no—
1674C23—2361no—
1675C23—2361no—
1676C23—2362no—
1677C23—2362no—
1678C23—2362no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—1181no—
1690Q8—1181no—
1691Q8—2362no—
1692Q8#41×D5912yes—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—41no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—81no—
1702D4—592no—
1703D4—1182no—
1704D4—1184no—
1705D4—1182no—
1706D4—1181no—
1707D4—1181no—
1708D4—1181no—
1709D4—1181no—
1710D4—1181no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—4721no—
1717D4—2362no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2361no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—81no—
1744C2×C4—81no—
1745C2×C4—591no—
1746C2×C4—592no—
1747C2×C4—592no—
1748C2×C4—591no—
1749C2×C4—591no—
1750C2×C4—591no—
1751C2×C4—591no—
1752C2×C4—1182no—
1753C2×C4—1182no—
1754C2×C4—1184no—
1755C2×C4—1182no—
1756C2×C4—1182no—
1757C2×C4—1182no—
1758C2×C4—1182no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—4721no—
1769C2×C4—4721no—
1770C2×C4—4721no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—2361no—
1776C2×C4—2361no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—592no—
1813C22—592no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1182no—
1820C22—1181no—
1821C22—1181no—
1822C22—4722no—
1823C22—4724no—
1824C22—4724no—
1825C22—4724no—
1826C22—2364no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22—2361no—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—22no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—592no—
1847C4—1181no—
1848C4—1181no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—81no—
1861C2—81no—
1862C2—1182no—
1863C2—1182no—
1864C2—4721no—
1865C2—4721no—
1866C2—2361no—
1867C2—2362no—
1868C2#546×D5911yescharacteristic
1869C2#575×D5911yescharacteristic
1870C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3326C2
socleC22×C59C23×D4
hypercenter#3326D59
hypocenterC59#61164
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #553×D59C2semidirect
2. #21437585C2semidirect
3. #21436349C2semidirect
4. #21436299C2semidirect
5. #21436291C2semidirect
6. #21436268C2semidirect
7. #21436260C2semidirect
8. #21436240C2semidirect
9. #21436232C2semidirect
10. #21436103C2semidirect
11. #21436095C2semidirect
12. #21436075C2semidirect
13. #21436067C2semidirect
14. #21436003C2semidirect
15. #21435995C2semidirect
16. #21435953C2semidirect
17. #21435945C2semidirect
18. #21434493C2semidirect
19. #21434024C2semidirect
20. #21434020C2semidirect
21. #21433915C2semidirect
22. #21433714C2semidirect
23. #21433710C2semidirect
24. #21433558C2semidirect
25. #21433347C2semidirect
26. #21433345C2semidirect
27. C4×#14273754C2semidirect
28. #21432832C2semidirect
29. #21432614C2semidirect
30. #417×D59C2semidirect
31. C59×#3326C2semidirect
35. C2×#14273754C22semidirect
36. C2×#14273751C22semidirect
37. C2×M16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838105C22semidirect
40. #16838104C22semidirect
42. #16838102C22semidirect
44. #16838100C22semidirect
46. #16838098C22semidirect
50. #16838071C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838064C22semidirect
54. #16838054C22semidirect
56. #16838048C22semidirect
58. #16838045C22semidirect
60. #16838036C22semidirect
64. #125×D59C22semidirect
71. #121×D59C22semidirect
72. #121×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837769C22semidirect
81. #16837769C22semidirect
82. #16837765C22semidirect
83. #16837765C22semidirect
84. #16837759C22semidirect
85. #16837757C22semidirect
86. #16837756C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837730C22semidirect
94. #16837725C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837707C22semidirect
104. #16837705C22semidirect
105. #16837703C22semidirect
106. #16837701C22semidirect
107. #16837699C22semidirect
108. #16837655C22semidirect
109. #16837653C22semidirect
110. #16837653C22semidirect
111. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837646C22semidirect
114. #16837639C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837635C22semidirect
118. #16837634C22semidirect
119. #16837632C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837614C22semidirect
125. #16837606C22semidirect
126. #16837605C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837550C22semidirect
130. #16837550C22semidirect
131. #16837549C22semidirect
132. #16837547C22semidirect
133. #16837546C22semidirect
134. #16837546C22semidirect
135. #16837545C22semidirect
136. #16837542C22semidirect
137. #16837541C22semidirect
138. #16837539C22semidirect
139. #16837538C22semidirect
140. #16837537C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837513C22semidirect
144. #16837511C22semidirect
145. #16837505C22semidirect
146. #16837503C22semidirect
147. C4×#11745671C22semidirect
148. C4×D472C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837476C22semidirect
152. #16837476C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. #16837467C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837411C22semidirect
162. #16837408C22semidirect
163. #16837406C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837403C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837400C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. C4×#11745659C22semidirect
188. C59×#553C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#417C22semidirect
926. #3326D59semidirect
985. #553C2×D59semidirect
989. #548C2×D59semidirect
1024. #488C2×D59semidirect
1032. #483C2×D59semidirect
1036. #482C2×D59semidirect
1044. #479C2×D59semidirect
1052. #469C2×D59semidirect
1056. #468C2×D59semidirect
1068. #463C2×D59semidirect
1080. #449C2×D59semidirect
1084. #448C2×D59semidirect
1094. C4×SD16C2×D59semidirect
1098. #436C2×D59semidirect
1110. #419C2×D59semidirect
1126. #417C2×D59semidirect
1138. C59#61164semidirect

Maximal subgroups

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

subgroupindex
#553×D592
#214375852
#214363492
#214362992
#214362912
#214362682
#214362602
#214362402
#214362322
#214361032
#214360952
#214360752
#214360672
#214360032
#214359952
#214359532
#214359452
#214344932
#214340242
#214340202
#214339152
#214337142
#214337102
#214335582
#214333472
#214333452
C4×#142737542
#214328322
#214326142
#417×D592
C59×#33262
#6116459