Finite Group Databasebeta

← #29465844

Subgroups — #29465844

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
2D4×#11745689C211yesmaximal, characteristic, complemented
3#21436353C211yesmaximal, characteristic, complemented
4#21436345C211yesmaximal, characteristic, complemented
5#21436303C211yesmaximal, characteristic, complemented
6#21436295C211yesmaximal, characteristic, complemented
7#21436267C211yesmaximal, characteristic, complemented
8#21436239C211yesmaximal, characteristic, complemented
9#21436231C211yesmaximal, characteristic, complemented
10#21436107C211yesmaximal, characteristic, complemented
11#21436099C211yesmaximal, characteristic, complemented
12#21436079C211yesmaximal, characteristic, complemented
13#21436071C211yesmaximal, characteristic, complemented
14#21436002C211yesmaximal, characteristic, complemented
15#21435994C211yesmaximal, characteristic, complemented
16#21435952C211yesmaximal, characteristic, complemented
17#21435944C211yesmaximal, characteristic, complemented
18#21434498C211yesmaximal, characteristic, complemented
19#21434028C211yesmaximal, characteristic, complemented
20#21434023C211yesmaximal, characteristic, complemented
21#21433915C211yesmaximal, characteristic, complemented
22#21433710C211yesmaximal, characteristic, complemented
23#21433708C211yesmaximal, characteristic, complemented
24#21433561C211yesmaximal, characteristic, complemented
25#21433347C211yesmaximal, characteristic, complemented
26#21433347C211yesmaximal, characteristic, complemented
27#21432901C211yesmaximal, characteristic, complemented
28#21432829C211yesmaximal, characteristic, complemented
29#21432614C211yesmaximal, characteristic, complemented
30C2×#16837402C211yesmaximal, characteristic, complemented
31C59×#3320C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C22×#11745659C2211yescharacteristic, 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, complemented
46#16838098C2211yescharacteristic
47#16838097—21no—
48#16838096C2211yescharacteristic, complemented
49#16838095—21no—
50#16838074C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838055—21no—
54#16838055C2211yescharacteristic, complemented
55#16838043—21no—
56#16838043—21no—
57#16838043C2211yescharacteristic, complemented
58#16838043C2211yescharacteristic, complemented
59D4×D236—21no—
60D4×D236C2211yescharacteristic, complemented
61#16837953—21no—
62#16837953C2211yescharacteristic
63#126×D59—21no—
64#125×D59C2211yescharacteristic, complemented
65#16837915—21no—
66#16837915—21no—
67#16837915C2211yescharacteristic
68#16837915C2211yescharacteristic
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#16837770C2211yescharacteristic, complemented
81#16837768C2211yescharacteristic, complemented
82#16837767C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837735C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837717C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837701C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837650C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837638C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837634C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837604C2211yescharacteristic, complemented
127#16837598C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837550C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837541C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic, complemented
139#16837538C2211yescharacteristic, complemented
140#16837538C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837535C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146SD16×Dic59C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148#16837484C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837478C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837474C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837402C2211yescharacteristic
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837402C2211yescharacteristic, complemented
176#16837402C2211yescharacteristic, complemented
177#16837402C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273651C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—24no—
209C2×#11745689—42no—
210C2×#11745689—42no—
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745689C2311yescharacteristic
215C2×#11745689C2311yescharacteristic
216C2×#11745689C2311yescharacteristic
217C2×#11745689C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59D411yescharacteristic
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#14273754—42no—
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C2×#11745659—42no—
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253M16×D59—42no—
254C22×C59⋊C8C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273724—21no—
258#14273724C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273721—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273716—21no—
272#14273716—21no—
273#14273716C2311yescharacteristic
274#14273716C2311yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273703—21no—
289#14273703—21no—
290#14273703C2311yescharacteristic
291#14273703C2311yescharacteristic
292#14273702—21no—
293#14273702—21no—
294#14273702—21no—
295#14273702—21no—
296#14273702—21no—
297#14273702—21no—
298#14273702—21no—
299#14273702—21no—
300#14273702—21no—
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698—21no—
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329Q8×Dic59C2311yescharacteristic
330C4×D236—21no—
331C4×D236—21no—
332C4×D236—21no—
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59—21no—
337D4×Dic59D411yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689—21no—
344#14273689—21no—
345#14273689D411yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
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#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C22×Q8×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59—21no—
452C4⋊Q8×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
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#107×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#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491C23×D59C2×D411yescharacteristic
492C2×Q8×C59—21no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59C2×D411yescharacteristic
523C22×Dic59C2×D411yescharacteristic
524#11745689—22no—
525#11745689—22no—
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—22no—
531#11745689—22no—
532#11745689—22no—
533#11745689—44no—
534#11745689—44no—
535#11745689—41no—
536#11745689—41no—
537#11745689—41no—
538#11745689—41no—
539#11745689—44no—
540#11745689—44no—
541#11745689#4114yes—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—42no—
545D4×D59—44no—
546D4×D59—44no—
547D4×D59—82no—
548C2×D236—21no—
549C2×D236—22no—
550C2×D236—22no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—41no—
566C2×D236—41no—
567C2×D236—44no—
568C2×D236—44no—
569C2×D236C2×D411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×D236C2411yescharacteristic
573C2×D236C2411yescharacteristic
574C2×C4×D59—21no—
575C2×C4×D59—22no—
576C2×C4×D59—22no—
577C2×C4×D59—22no—
578C2×C4×D59—22no—
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—21no—
593C2×C4×D59—21no—
594C2×C4×D59—44no—
595C2×C4×D59—44no—
596C2×C4×D59—82no—
597C2×C4×D59—82no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607SD16×C59—22no—
608SD16×C59—41no—
609SD16×C59—41no—
610M16×C59—41no—
611C2×C8×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×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59C2×D411yescharacteristic
636C22⋊C4×C59C2×D411yescharacteristic
637C42×C59—21no—
638C42×C59—21no—
639C42×C59C2411yescharacteristic
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745671—22no—
647#11745671—41no—
648#11745671—41no—
649#11745669—22no—
650#11745669—41no—
651#11745669—41no—
652(C2×D59)⋊C4—21no—
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)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675(C2×D59)⋊C4C2×D411yescharacteristic
676(C2×D59)⋊C4C2×D411yescharacteristic
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59C2×D411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
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—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714D472—41no—
715D472—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—22no—
719#11745659—22no—
720#11745659—41no—
721#11745659—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59C22×D411yescharacteristic
726C23×C59C22×D411yescharacteristic
727C22×D59—22no—
728C22×D59—21no—
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—21no—
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—21no—
753Q8×C59—21no—
754Q8×C59—42no—
755Q8×C59—42no—
756Q8×C59C2×#4112yes—
757D4×C59—22no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—42no—
761D4×C59—81no—
762C2×C4×C59—21no—
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—81no—
790C22⋊D59—81no—
791C2×Dic59—22no—
792C2×Dic59—22no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804D236—24no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—41no—
813D236—42no—
814D236—42no—
815D236—42no—
816D236—42no—
817D236—42no—
818D236—42no—
819D236—42no—
820D236—42no—
821D236—42no—
822D236—42no—
823D236—81no—
824D236—81no—
825D236—81no—
826D236—81no—
827D236C2×#4112yes—
828C4×D59—22no—
829C4×D59—22no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—22no—
835C4×D59—22no—
836C4×D59—24no—
837C4×D59—41no—
838C4×D59—41no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59C2×#4112yes—
855C4×D59H(5,𝔽2)12yes—
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—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59#57512yes—
874C22×C59C23×D411yescharacteristic
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—22no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—44no—
885C2×D59—41no—
886C2×D59—41no—
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—41no—
896C2×D59—82no—
897C2×D59—84no—
898C2×D59—84no—
899C2×D59—84no—
900C2×D59#54612yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—22no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59C22×#4111yescharacteristic
913C4×C59C2×H(5,𝔽2)11yescharacteristic
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—21no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923C2×#553—591no—
924D4×#41—591no—
925#3326—591no—
926#3326—591no—
927#3322—591no—
928#3322—591no—
929#3320—591no—
930#3320D5911yescharacteristic, complemented
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—22no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59C2×#54611yescharacteristic
958C2×C59C2×#57511yescharacteristic
959C2×C59#358511yescharacteristic
960D59—22no—
961D59—41no—
962D59—41no—
963D59—42no—
964D59—81no—
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
986#550—591no—
987D4×Q8C2×D5911yescharacteristic, complemented
988#548—591no—
989#548—591no—
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#491C2×D5911yescharacteristic, complemented
1019#490—591no—
1020#490—591no—
1021#488—591no—
1022#488—591no—
1023#488—591no—
1024#488—591no—
1025#485—591no—
1026#485—591no—
1027#485—591no—
1028#485C2×D5911yescharacteristic, complemented
1029#484—591no—
1030#484C2×D5911yescharacteristic, complemented
1031#483—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#482—591no—
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#469—591no—
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#465C2×D5911yescharacteristic, complemented
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#463—591no—
1069#461—591no—
1070#461C2×D5911yescharacteristic, complemented
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#449—591no—
1081#448—591no—
1082#448—591no—
1083#448C2×D5911yescharacteristic, complemented
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#440C2×D5911yescharacteristic, complemented
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#436—591no—
1098#436—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435C2×D5911yescharacteristic, complemented
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#417—591no—
1127#416—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131C2×#103—591no—
1132C2×#103C2×D5911yescharacteristic, complemented
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—591no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41—1184no—
1151C2×#41—1184no—
1152C2×#41—2362no—
1153C2×#41—2362no—
1154C22×Q8C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
1178C2×SD16C22×D5911yescharacteristic
1179C2×SD16C22×D5911yescharacteristic
1180C2×D8—591no—
1181C2×D8—591no—
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8—591no—
1185C2×D8—591no—
1186C2×M16—591no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—591no—
1193C2×M16—2362no—
1194C2×M16—2362no—
1195C2×M16C22×D5911yescharacteristic
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8C22×D5911yescharacteristic
1200C4⋊Q8—21no—
1201C4⋊Q8C22×D5911yescharacteristic
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—591no—
1219#124—591no—
1220#124—1181no—
1221#124—1181no—
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—21no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8C22×D5911yescharacteristic
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—591no—
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#121—1181no—
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#107C22×D5911yescharacteristic
1360#107C22×D5911yescharacteristic
1361#106—591no—
1362#106—591no—
1363#106—591no—
1364#106—591no—
1365#106—591no—
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#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
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#102—591no—
1408#102—591no—
1409#102—591no—
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#97C22×D5911yescharacteristic
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—591no—
1424C24—591no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—594no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—2364no—
1439#41—2364no—
1440#41—2361no—
1441#41—2361no—
1442#41—2361no—
1443#41—2361no—
1444#41—2364no—
1445#41—2364no—
1446C2×Q8—21no—
1447C2×Q8—21no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8C23×D5911yescharacteristic
1453C2×Q8C23×D5911yescharacteristic
1454C2×Q8C23×D5911yescharacteristic
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—1182no—
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—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1182no—
1478C2×D4—1182no—
1479C2×D4—1181no—
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—1181no—
1490C2×D4—4722no—
1491C2×D4—2361no—
1492C2×D4—2361no—
1493C2×D4—2364no—
1494C2×D4—2364no—
1495C2×D4—2362no—
1496C2×D4—2364no—
1497C2×D4—2364no—
1498C2×D4D4×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—41no—
1546SD16—1182no—
1547SD16—2361no—
1548SD16—2361no—
1549D8—1182no—
1550D8—1182no—
1551D8—2361no—
1552D8—2361no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—1182no—
1557M16—1182no—
1558M16—1182no—
1559M16—1182no—
1560M16—2361no—
1561M16—2361no—
1562M16—2361no—
1563C2×C8—41no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—591no—
1567C2×C8—591no—
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—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
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—591no—
1617C22⋊C4—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
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—591no—
1662C23—591no—
1663C23—591no—
1664C23—1182no—
1665C23—1182no—
1666C23—1182no—
1667C23—1181no—
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—21no—
1689Q8—21no—
1690Q8—42no—
1691Q8—42no—
1692Q8#41×D5912yes—
1693D4—22no—
1694D4—21no—
1695D4—21no—
1696D4—42no—
1697D4—81no—
1698D4—592no—
1699D4—1184no—
1700D4—1182no—
1701D4—1181no—
1702D4—1181no—
1703D4—1181no—
1704D4—1181no—
1705D4—1181no—
1706D4—1181no—
1707D4—1181no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—2361no—
1715D4—2362no—
1716D4—2362no—
1717D4—2362no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4—2362no—
1726D4—2361no—
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—21no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—591no—
1747C2×C4—592no—
1748C2×C4—592no—
1749C2×C4—591no—
1750C2×C4—591no—
1751C2×C4—591no—
1752C2×C4—591no—
1753C2×C4—1182no—
1754C2×C4—1182no—
1755C2×C4—1184no—
1756C2×C4—1182no—
1757C2×C4—1182no—
1758C2×C4—1182no—
1759C2×C4—1182no—
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—41no—
1806C22—41no—
1807C22—41no—
1808C22—592no—
1809C22—1181no—
1810C22—1181no—
1811C22—1181no—
1812C22—1181no—
1813C22—1182no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—4724no—
1819C22—4722no—
1820C22—4724no—
1821C22—4724no—
1822C22—2364no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22#1683820112yes—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—22no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—592no—
1848C4—1181no—
1849C4—1181no—
1850C4—1181no—
1851C4—1181no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—81no—
1861C2—1182no—
1862C2—4721no—
1863C2—4721no—
1864C2—4721no—
1865C2—2361no—
1866C2—2361no—
1867C2—2362no—
1868C2#546×D5911yescharacteristic
1869C2C2×#1683820111yescharacteristic
1870C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3320C2
socleC22×C59C23×D4
hypercenter#3320D59
hypocenterC59#61164
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #553×D59C2semidirect
2. D4×#11745689C2semidirect
3. #21436353C2semidirect
4. #21436345C2semidirect
5. #21436303C2semidirect
6. #21436295C2semidirect
7. #21436267C2semidirect
8. #21436239C2semidirect
9. #21436231C2semidirect
10. #21436107C2semidirect
11. #21436099C2semidirect
12. #21436079C2semidirect
13. #21436071C2semidirect
14. #21436002C2semidirect
15. #21435994C2semidirect
16. #21435952C2semidirect
17. #21435944C2semidirect
18. #21434498C2semidirect
19. #21434028C2semidirect
20. #21434023C2semidirect
21. #21433915C2semidirect
22. #21433710C2semidirect
23. #21433708C2semidirect
24. #21433561C2semidirect
25. #21433347C2semidirect
26. #21433347C2semidirect
27. #21432901C2semidirect
28. #21432829C2semidirect
29. #21432614C2semidirect
30. C2×#16837402C2semidirect
31. C59×#3320C2semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C22×#11745659C22semidirect
38. C2×M16×D59C22semidirect
39. #16838105C22semidirect
40. #16838104C22semidirect
42. #16838102C22semidirect
44. #16838100C22semidirect
45. #16838099C22semidirect
48. #16838096C22semidirect
50. #16838074C22semidirect
51. #16838063C22semidirect
52. #16838063C22semidirect
54. #16838055C22semidirect
57. #16838043C22semidirect
58. #16838043C22semidirect
60. D4×D236C22semidirect
64. #125×D59C22semidirect
71. #121×D59C22semidirect
72. #121×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837770C22semidirect
81. #16837768C22semidirect
82. #16837767C22semidirect
83. #16837758C22semidirect
84. #16837758C22semidirect
85. #16837758C22semidirect
86. #16837758C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837735C22semidirect
91. #16837731C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837726C22semidirect
97. #16837721C22semidirect
98. #16837720C22semidirect
99. #16837717C22semidirect
100. #16837717C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837707C22semidirect
104. #16837705C22semidirect
105. #16837703C22semidirect
106. #16837701C22semidirect
107. #16837699C22semidirect
108. #16837656C22semidirect
109. #16837655C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837651C22semidirect
113. #16837650C22semidirect
114. #16837645C22semidirect
115. #16837639C22semidirect
116. #16837638C22semidirect
117. #16837637C22semidirect
118. #16837636C22semidirect
119. #16837634C22semidirect
120. #16837633C22semidirect
121. #16837628C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
126. #16837604C22semidirect
127. #16837598C22semidirect
128. #16837597C22semidirect
129. #16837550C22semidirect
130. #16837550C22semidirect
131. #16837550C22semidirect
132. #16837550C22semidirect
133. #16837546C22semidirect
134. #16837546C22semidirect
135. #16837546C22semidirect
136. #16837546C22semidirect
137. #16837541C22semidirect
138. #16837541C22semidirect
139. #16837538C22semidirect
140. #16837538C22semidirect
141. #16837535C22semidirect
142. #16837535C22semidirect
143. #16837515C22semidirect
144. #16837512C22semidirect
145. #16837500C22semidirect
146. SD16×Dic59C22semidirect
147. #16837487C22semidirect
148. #16837484C22semidirect
149. #16837482C22semidirect
150. #16837478C22semidirect
151. #16837477C22semidirect
152. #16837475C22semidirect
153. #16837474C22semidirect
154. #16837472C22semidirect
155. C8×C22⋊D59C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837411C22semidirect
162. #16837408C22semidirect
163. #16837406C22semidirect
164. #16837405C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837402C22semidirect
176. #16837402C22semidirect
177. #16837402C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. #16837397C22semidirect
182. C2×#14273651C22semidirect
183. C2×#14273649C22semidirect
184. C2×#14273647C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. #16837354C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#448C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
930. #3320D59semidirect
987. D4×Q8C2×D59semidirect
1018. #491C2×D59semidirect
1028. #485C2×D59semidirect
1030. #484C2×D59semidirect
1044. #479C2×D59semidirect
1056. #468C2×D59semidirect
1064. #465C2×D59semidirect
1070. #461C2×D59semidirect
1083. #448C2×D59semidirect
1084. #448C2×D59semidirect
1092. #440C2×D59semidirect
1102. #435C2×D59semidirect
1110. #419C2×D59semidirect
1132. C2×#103C2×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
D4×#117456892
#214363532
#214363452
#214363032
#214362952
#214362672
#214362392
#214362312
#214361072
#214360992
#214360792
#214360712
#214360022
#214359942
#214359522
#214359442
#214344982
#214340282
#214340232
#214339152
#214337102
#214337082
#214335612
#214333472
#214329012
#214328292
#214326142
C2×#168374022
C59×#33202
#6116459