Finite Group Databasebeta

← #29463768

Subgroups — #29463768

Order 15104.

2796 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838200C211yesmaximal, characteristic, complemented
2C2×#135×D59C211yesmaximal, characteristic, complemented
3#41×C22⋊D59C211yesmaximal, characteristic, complemented
4#21437579C211yesmaximal, characteristic, complemented
5#21435684C211yesmaximal, characteristic, complemented
6#21435679C211yesmaximal, characteristic, complemented
7#21435669C211yesmaximal, characteristic, complemented
8#21435664C211yesmaximal, characteristic, complemented
9#21435654C211yesmaximal, characteristic, complemented
10#21435649C211yesmaximal, characteristic, complemented
11#21435639C211yesmaximal, characteristic, complemented
12#21435634C211yesmaximal, characteristic, complemented
13#21435624C211yesmaximal, characteristic, complemented
14#21435619C211yesmaximal, characteristic, complemented
15#21435609C211yesmaximal, characteristic, complemented
16#21435604C211yesmaximal, characteristic, complemented
17#21435594C211yesmaximal, characteristic, complemented
18#21435589C211yesmaximal, characteristic, complemented
19#21435579C211yesmaximal, characteristic, complemented
20#21435574C211yesmaximal, characteristic, complemented
21#21434539C211yesmaximal, characteristic, complemented
22#21433702C211yesmaximal, characteristic, complemented
23#21433676C211yesmaximal, characteristic, complemented
24#21433549C211yesmaximal, characteristic, complemented
25#21433547C211yesmaximal, characteristic, complemented
26#21433318C211yesmaximal, characteristic, complemented
27#21433316C211yesmaximal, characteristic, complemented
28#21433310C211yesmaximal, characteristic, complemented
29#21432892C211yesmaximal, characteristic, complemented
30C2×#16837476C211yesmaximal, characteristic, complemented
31C59×#3002C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#41×D59C2211yescharacteristic, complemented
35#16838200—28no—
36C2×#14273758C2211yescharacteristic, complemented
37C2×#14273758C2211yescharacteristic, complemented
38C2×#14273757C2211yescharacteristic, complemented
39C2×#14273757C2211yescharacteristic, complemented
40C2×#14273753C2211yescharacteristic, complemented
41C2×#14273753C2211yescharacteristic, complemented
42C2×#14273752C2211yescharacteristic, complemented
43C2×#14273752C2211yescharacteristic, complemented
44C2×#14273750C2211yescharacteristic, complemented
45C2×#14273749C2211yescharacteristic, complemented
46C2×#14273749C2211yescharacteristic, complemented
47C2×#14273748C2211yescharacteristic, complemented
48C2×#14273748C2211yescharacteristic, complemented
49C2×#14273747C2211yescharacteristic
50C2×#14273747C2211yescharacteristic, complemented
51C2×#14273747C2211yescharacteristic, complemented
52C2×#14273747C2211yescharacteristic, complemented
53C2×#14273747C2211yescharacteristic, complemented
54C2×#14273746C2211yescharacteristic, complemented
55#135×D59—28no—
56C2×Q16×D59C2211yescharacteristic, complemented
57C2×SD16×D59C2211yescharacteristic, complemented
58C2×SD16×D59C2211yescharacteristic, complemented
59C2×D8×D59C2211yescharacteristic, complemented
60C22×#11745664C2211yescharacteristic, complemented
61C22×C8×D59C2211yescharacteristic, complemented
62#16838071C2211yescharacteristic, complemented
63#16838070C2211yescharacteristic, complemented
64Q8×C22⋊D59C2211yescharacteristic, complemented
65#16838065C2211yescharacteristic, complemented
66#16838063C2211yescharacteristic, complemented
67#16838062C2211yescharacteristic
68#16838059C2211yescharacteristic
69#16838058C2211yescharacteristic, complemented
70#16838054C2211yescharacteristic, complemented
71#16838051—21no—
72#16838051C2211yescharacteristic, complemented
73#16838050—21no—
74#16838049C2211yescharacteristic
75#16838046—21no—
76#16838046C2211yescharacteristic, complemented
77#16838044—21no—
78#16838043C2211yescharacteristic, complemented
79#16838040—21no—
80#16838040C2211yescharacteristic
81#16838039—21no—
82#16838036C2211yescharacteristic, complemented
83D4×C22⋊D59—21no—
84D4×C22⋊D59C2211yescharacteristic, complemented
85#16838034—21no—
86#16837949—21no—
87#16837948—21no—
88#16837948C2211yescharacteristic, complemented
89#16837948C2211yescharacteristic, complemented
90#16837914C2211yescharacteristic, complemented
91#16837913—21no—
92#16837913C2211yescharacteristic, complemented
93#16837911—21no—
94#16837911—21no—
95#16837909—21no—
96#16837909C2211yescharacteristic, complemented
97#41×Dic59C2211yescharacteristic, complemented
98#16837870C2211yescharacteristic, complemented
99C2×C4×C22⋊D59—21no—
100C2×C4×C22⋊D59C2211yescharacteristic
101C4×D4×D59—21no—
102#16837795C2211yescharacteristic, complemented
103#16837795C2211yescharacteristic, complemented
104#16837793C2211yescharacteristic, complemented
105#16837793C2211yescharacteristic, complemented
106#16837790C2211yescharacteristic, complemented
107#16837790C2211yescharacteristic, complemented
108#16837788C2211yescharacteristic, complemented
109#16837788C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837650C2211yescharacteristic, complemented
115#16837650C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837642C2211yescharacteristic, complemented
119#16837642C2211yescharacteristic, complemented
120#16837637C2211yescharacteristic, complemented
121#16837637C2211yescharacteristic, complemented
122#16837634C2211yescharacteristic, complemented
123#16837634C2211yescharacteristic, complemented
124#16837630C2211yescharacteristic, complemented
125#16837630C2211yescharacteristic, complemented
126#16837627C2211yescharacteristic, complemented
127#16837626C2211yescharacteristic, complemented
128#16837623C2211yescharacteristic, complemented
129#16837622C2211yescharacteristic, complemented
130#16837620C2211yescharacteristic, complemented
131#16837619C2211yescharacteristic, complemented
132#16837616C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837611C2211yescharacteristic, complemented
135#16837610C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837605C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837567C2211yescharacteristic, complemented
143#16837566C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837563C2211yescharacteristic, complemented
147#16837561C2211yescharacteristic, complemented
148#16837560C2211yescharacteristic, complemented
149#16837559C2211yescharacteristic, complemented
150#16837556C2211yescharacteristic, complemented
151#16837555C2211yescharacteristic, complemented
152#16837554C2211yescharacteristic, complemented
153#16837551C2211yescharacteristic, complemented
154#16837550C2211yescharacteristic, complemented
155#16837549C2211yescharacteristic, complemented
156#16837549C2211yescharacteristic, complemented
157#16837548C2211yescharacteristic, complemented
158#16837546C2211yescharacteristic, complemented
159#16837544C2211yescharacteristic, complemented
160#16837543C2211yescharacteristic, complemented
161#16837542C2211yescharacteristic, complemented
162#16837539C2211yescharacteristic, complemented
163#16837538C2211yescharacteristic, complemented
164#16837537C2211yescharacteristic, complemented
165#16837534C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837511C2211yescharacteristic, complemented
168#16837506C2211yescharacteristic, complemented
169#16837506C2211yescharacteristic, complemented
170#16837505C2211yescharacteristic, complemented
171#16837505C2211yescharacteristic, complemented
172#16837499C2211yescharacteristic, complemented
173#16837499C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837476C2211yescharacteristic, complemented
176#16837476C2211yescharacteristic, complemented
177#16837476C2211yescharacteristic, complemented
178#16837476C2211yescharacteristic, complemented
179#16837476C2211yescharacteristic, complemented
180#16837476C2211yescharacteristic, complemented
181#16837476C2211yescharacteristic, complemented
182#16837438C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837399C2211yescharacteristic, complemented
186#16837398C2211yescharacteristic, complemented
187#16837396C2211yescharacteristic, complemented
188C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
189C2×#14273637C2211yescharacteristic, complemented
190C22×#41×C59C2211yescharacteristic, complemented
191C2×#135×C59C2211yescharacteristic, complemented
192C2×#135×C59C2211yescharacteristic, complemented
193C59×#525C2211yescharacteristic, complemented
194C59×#452C2211yescharacteristic, complemented
195C59×#452C2211yescharacteristic, complemented
196C59×#451C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C59×#416C2211yescharacteristic, complemented
204C2×C22⋊C8×C59C2211yescharacteristic, complemented
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—24no—
212C2×#11745685—42no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745687—21no—
219C2×#11745687—21no—
220C2×#11745687C2311yescharacteristic
221C2×#11745687C2311yescharacteristic
222#41×D59—24no—
223#41×D59—24no—
224#41×D59—42no—
225#41×D59—42no—
226C22×Dic118C2311yescharacteristic
227C2×Q8×D59C2311yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C22×D236C2311yescharacteristic
230C22×C22⋊D59—21no—
231C22×C22⋊D59—21no—
232C22×C22⋊D59D411yescharacteristic
233C2×D4×D59—21no—
234C2×D4×D59—21no—
235C2×D4×D59—21no—
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59—21no—
239C22×C4×D59—21no—
240C22×C4×D59—21no—
241C22×C4×D59C2311yescharacteristic
242#14273758—24no—
243#14273758—24no—
244#14273757—24no—
245#14273757—24no—
246#14273753—24no—
247#14273753—24no—
248#14273752—24no—
249#14273752—24no—
250#14273750—24no—
251#14273749—24no—
252#14273749—42no—
253#14273748—24no—
254#14273748—24no—
255#14273747—24no—
256#14273747—24no—
257#14273747—24no—
258#14273747—24no—
259#14273747D418yescomplemented
260#14273746—24no—
261C2×Dic236C2311yescharacteristic
262C2×Dic236C2311yescharacteristic
263C2×#11745672C2311yescharacteristic
264C2×#11745672C2311yescharacteristic
265C2×#11745672C2311yescharacteristic
266C2×#11745672C2311yescharacteristic
267C2×#11745672C2311yescharacteristic
268Q16×D59—24no—
269C2×#11745660C2311yescharacteristic
270C2×#11745660C2311yescharacteristic
271C2×#11745660C2311yescharacteristic
272C2×#11745660C2311yescharacteristic
273C2×#11745670C2311yescharacteristic
274C2×#11745670C2311yescharacteristic
275C2×#11745670C2311yescharacteristic
276C2×#11745670C2311yescharacteristic
277C2×#11745670C2311yescharacteristic
278C2×#11745671C2311yescharacteristic
279C2×#11745671C2311yescharacteristic
280C2×#11745671C2311yescharacteristic
281C2×#11745671C2311yescharacteristic
282C2×#11745671C2311yescharacteristic
283SD16×D59—24no—
284SD16×D59—24no—
285C2×D472C2311yescharacteristic
286C2×D472C2311yescharacteristic
287C2×#11745669C2311yescharacteristic
288C2×#11745669C2311yescharacteristic
289C2×#11745669C2311yescharacteristic
290C2×#11745669C2311yescharacteristic
291C2×#11745669C2311yescharacteristic
292D8×D59—24no—
293C2×#11745664—24no—
294C2×#11745664C2311yescharacteristic
295C2×#11745664C2311yescharacteristic
296C2×#11745664C2311yescharacteristic
297C2×#11745664C2311yescharacteristic
298C22×C59⋊C8C2311yescharacteristic
299C22×C59⋊C8C2311yescharacteristic
300C2×C8×D59—24no—
301C2×C8×D59C2311yescharacteristic
302C2×C8×D59C2311yescharacteristic
303C2×C8×D59C2311yescharacteristic
304C2×C8×D59C2311yescharacteristic
305#14273726—21no—
306#14273725—21no—
307#14273725C2311yescharacteristic
308#14273725C2311yescharacteristic
309#14273723—21no—
310#14273723—21no—
311#14273723C2311yescharacteristic
312#14273723C2311yescharacteristic
313#14273716—21no—
314#14273716C2311yescharacteristic
315#14273716C2311yescharacteristic
316#14273714—21no—
317#14273714C2311yescharacteristic
318#14273714C2311yescharacteristic
319#14273713—21no—
320#14273713—21no—
321#14273712—21no—
322#14273712—21no—
323#14273711—21no—
324#14273710—21no—
325#14273710—21no—
326#14273710—21no—
327#14273709—21no—
328#14273709—21no—
329#14273708—21no—
330#14273708—21no—
331#14273708—21no—
332#14273707C2311yescharacteristic
333#14273707C2311yescharacteristic
334#14273706—21no—
335#14273706—21no—
336#14273706C2311yescharacteristic
337#14273706C2311yescharacteristic
338#14273705—21no—
339#14273705—21no—
340#14273704—21no—
341#14273704—21no—
342#14273703—21no—
343#14273703—21no—
344#14273703C2311yescharacteristic
345#14273703C2311yescharacteristic
346#14273702—21no—
347#14273702C2311yescharacteristic
348#14273702C2311yescharacteristic
349#14273701—21no—
350#14273701—21no—
351#14273701C2311yescharacteristic
352#14273701C2311yescharacteristic
353#14273700—21no—
354#14273700—21no—
355#14273700—21no—
356#14273700—21no—
357#14273699—21no—
358#14273699—21no—
359#14273699—21no—
360#14273699—21no—
361#14273699—21no—
362#14273699—21no—
363#14273699—21no—
364#14273699—21no—
365#14273699—21no—
366#14273699—21no—
367#14273698—21no—
368#14273698—21no—
369#14273698—21no—
370#14273698C2311yescharacteristic
371#14273698C2311yescharacteristic
372#14273697—21no—
373#14273697—21no—
374#14273697—21no—
375#14273696—21no—
376#14273696—21no—
377#14273696—21no—
378#14273695—21no—
379#14273695—21no—
380#14273695—21no—
381#14273695—21no—
382#14273695—21no—
383Q8×Dic59C2311yescharacteristic
384Q8×Dic59C2311yescharacteristic
385#14273692C2311yescharacteristic
386#14273692C2311yescharacteristic
387C4×D236—21no—
388C4×D236—21no—
389D4×Dic59—21no—
390D4×Dic59—21no—
391D4×Dic59—21no—
392D4×Dic59C2311yescharacteristic
393D4×Dic59C2311yescharacteristic
394#14273689—21no—
395#14273689C2311yescharacteristic
396#14273689C2311yescharacteristic
397C4×C22⋊D59—21no—
398C4×C22⋊D59—21no—
399C4×C22⋊D59—21no—
400C4×C22⋊D59—21no—
401C4×C22⋊D59—21no—
402C4×C22⋊D59—21no—
403C4×C22⋊D59—21no—
404C4×C22⋊D59—21no—
405C4×C22⋊D59—21no—
406C4×C22⋊D59—21no—
407C4×C22⋊D59—21no—
408C4×C22⋊D59—21no—
409C4×C22⋊D59D411yescharacteristic
410C4×C22⋊D59D411yescharacteristic
411C4×C22⋊D59D411yescharacteristic
412C4×C22⋊D59D411yescharacteristic
413C4×C22⋊D59C2311yescharacteristic
414C4×C22⋊D59C2311yescharacteristic
415C4×C22⋊D59C2311yescharacteristic
416C4×C22⋊D59C2311yescharacteristic
417(C22⋊D59)⋊C4—21no—
418(C22⋊D59)⋊C4—21no—
419(C22⋊D59)⋊C4—21no—
420(C22⋊D59)⋊C4—21no—
421#14273686—21no—
422#14273686C2311yescharacteristic
423#14273684—21no—
424C2×Dic59⋊C4—21no—
425C2×Dic59⋊C4D411yescharacteristic
426C4⋊C4×D59—21no—
427C2×C22⋊Dic59—21no—
428C2×C22⋊Dic59D411yescharacteristic
429C2×(C2×D59)⋊C4—21no—
430C2×(C2×D59)⋊C4D411yescharacteristic
431C22⋊C4×D59—21no—
432C22⋊C4×D59—21no—
433C2×C4×Dic59—21no—
434C2×C4×Dic59C2311yescharacteristic
435C42×D59—21no—
436#14273660C2311yescharacteristic
437#14273660C2311yescharacteristic
438#14273658C2311yescharacteristic
439#14273658C2311yescharacteristic
440Dic59⋊C8C2311yescharacteristic
441Dic59⋊C8C2311yescharacteristic
442Dic59⋊C8C2311yescharacteristic
443Dic59⋊C8C2311yescharacteristic
444#14273652C2311yescharacteristic
445#14273652C2311yescharacteristic
446#14273652C2311yescharacteristic
447#14273652C2311yescharacteristic
448#14273651C2311yescharacteristic
449#14273651C2311yescharacteristic
450#14273650C2311yescharacteristic
451#14273650C2311yescharacteristic
452#14273649C2311yescharacteristic
453#14273649C2311yescharacteristic
454#14273649C2311yescharacteristic
455#14273649C2311yescharacteristic
456#14273648C2311yescharacteristic
457#14273648C2311yescharacteristic
458#14273647C2311yescharacteristic
459#14273647C2311yescharacteristic
460(C2×D59)⋊C8C2311yescharacteristic
461(C2×D59)⋊C8C2311yescharacteristic
462(C2×D59)⋊C8C2311yescharacteristic
463(C2×D59)⋊C8C2311yescharacteristic
464#14273637C2311yescharacteristic
465#14273637C2311yescharacteristic
466#14273637C2311yescharacteristic
467#14273637C2311yescharacteristic
468C2×#41×C59—21no—
469C2×#41×C59—21no—
470C2×#41×C59—24no—
471C2×#41×C59—42no—
472C2×#41×C59C2311yescharacteristic
473C2×#41×C59C2311yescharacteristic
474C2×#41×C59C2311yescharacteristic
475C2×#41×C59C2311yescharacteristic
476C2×#41×C59C2311yescharacteristic
477C22×Q8×C59C2311yescharacteristic
478C22×D4×C59—21no—
479C22×D4×C59C2311yescharacteristic
480C23×C4×C59—21no—
481C23×C4×C59C2311yescharacteristic
482#135×C59—24no—
483#135×C59—42no—
484C2×Q16×C59C2311yescharacteristic
485C2×Q16×C59C2311yescharacteristic
486C2×SD16×C59C2311yescharacteristic
487C2×SD16×C59C2311yescharacteristic
488C2×SD16×C59C2311yescharacteristic
489C2×SD16×C59C2311yescharacteristic
490C2×D8×C59C2311yescharacteristic
491C2×D8×C59C2311yescharacteristic
492C22×C8×C59C2311yescharacteristic
493C22×C8×C59C2311yescharacteristic
494#123×C59—21no—
495C22⋊Q8×C59C2311yescharacteristic
496C22⋊Q8×C59C2311yescharacteristic
497#121×C59C2311yescharacteristic
498#121×C59C2311yescharacteristic
499#120×C59—21no—
500C4×D4×C59—21no—
501C4×D4×C59—21no—
502#117×C59C2311yescharacteristic
503#103×C59C2311yescharacteristic
504#103×C59C2311yescharacteristic
505#103×C59C2311yescharacteristic
506#103×C59C2311yescharacteristic
507#102×C59C2311yescharacteristic
508#102×C59C2311yescharacteristic
509#102×C59C2311yescharacteristic
510#102×C59C2311yescharacteristic
511C22⋊C8×C59C2311yescharacteristic
512C22⋊C8×C59C2311yescharacteristic
513C22⋊C8×C59C2311yescharacteristic
514C22⋊C8×C59C2311yescharacteristic
515C24×C59—21no—
516C24×C59C2×D411yescharacteristic
517C23×D59—21no—
518C23×D59—21no—
519C23×D59—21no—
520C23×D59C2×D411yescharacteristic
521#41×C59—22no—
522#41×C59—22no—
523#41×C59—22no—
524#41×C59—22no—
525#41×C59—22no—
526#41×C59—22no—
527#41×C59—22no—
528#41×C59—44no—
529#41×C59—41no—
530#41×C59—41no—
531#41×C59—44no—
532#41×C59C2×D414yescomplemented
533C2×Q8×C59—21no—
534C2×Q8×C59—22no—
535C2×Q8×C59—41no—
536C2×Q8×C59C2411yescharacteristic
537C2×Q8×C59C2411yescharacteristic
538C2×Q8×C59C2411yescharacteristic
539C2×D4×C59—21no—
540C2×D4×C59—22no—
541C2×D4×C59—21no—
542C2×D4×C59—21no—
543C2×D4×C59—21no—
544C2×D4×C59—21no—
545C2×D4×C59—21no—
546C2×D4×C59—21no—
547C2×D4×C59—21no—
548C2×D4×C59—41no—
549C2×D4×C59—44no—
550C2×D4×C59C2411yescharacteristic
551C2×D4×C59C2411yescharacteristic
552C2×D4×C59C2411yescharacteristic
553C22×C4×C59—21no—
554C22×C4×C59—22no—
555C22×C4×C59—22no—
556C22×C4×C59—21no—
557C22×C4×C59—21no—
558C22×C4×C59—21no—
559C22×C4×C59—21no—
560C22×C4×C59—21no—
561C22×C4×C59—44no—
562C22×C4×C59C2×D411yescharacteristic
563C22×C4×C59C2×D411yescharacteristic
564C22×C4×C59C2×D411yescharacteristic
565C22×C4×C59C2411yescharacteristic
566C22×C4×C59C2411yescharacteristic
567C22×C4×C59C2411yescharacteristic
568C2×C22⋊D59—21no—
569C2×C22⋊D59—21no—
570C2×C22⋊D59—21no—
571C2×C22⋊D59—21no—
572C2×C22⋊D59—21no—
573C2×C22⋊D59—21no—
574C2×C22⋊D59—21no—
575C2×C22⋊D59—21no—
576C2×C22⋊D59—21no—
577C2×C22⋊D59—21no—
578C2×C22⋊D59—21no—
579C2×C22⋊D59—21no—
580C2×C22⋊D59—21no—
581C2×C22⋊D59—21no—
582C2×C22⋊D59—21no—
583C2×C22⋊D59—21no—
584C2×C22⋊D59—21no—
585C2×C22⋊D59—42no—
586C2×C22⋊D59—44no—
587C2×C22⋊D59—44no—
588C2×C22⋊D59C2×D411yescharacteristic
589C2×C22⋊D59C2×D411yescharacteristic
590C2×C22⋊D59C2×D411yescharacteristic
591C2×C22⋊D59C2×D411yescharacteristic
592C22×Dic59—21no—
593C22×Dic59—21no—
594C22×Dic59—21no—
595C22×Dic59—21no—
596C22×Dic59—21no—
597C22×Dic59C2×D411yescharacteristic
598C22×Dic59C2×D411yescharacteristic
599C22×Dic59C2×D411yescharacteristic
600#11745689—22no—
601#11745689—22no—
602#11745689—41no—
603#11745689—41no—
604Q8×D59—22no—
605Q8×D59—22no—
606Q8×D59—41no—
607Q8×D59—41no—
608#11745687—22no—
609#11745687—22no—
610#11745687—41no—
611#11745687—41no—
612#11745687—44no—
613#11745687—44no—
614D4×D59—22no—
615D4×D59—22no—
616D4×D59—41no—
617D4×D59—41no—
618D4×D59—44no—
619D4×D59—44no—
620D4×D59—44no—
621#11745685—22no—
622#11745685—22no—
623#11745685—22no—
624#11745685—22no—
625#11745685—22no—
626#11745685—22no—
627#11745685—22no—
628#11745685—41no—
629#11745685—41no—
630#11745685—44no—
631#11745685—44no—
632#11745685—44no—
633#11745685—44no—
634#11745685C2×D414yescomplemented
635C2×D236—22no—
636C2×D236—21no—
637C2×D236—21no—
638C2×D236—21no—
639C2×D236—21no—
640C2×D236—21no—
641C2×D236—41no—
642C2×D236C2411yescharacteristic
643C2×D236C2411yescharacteristic
644C2×D236C2411yescharacteristic
645C2×C4×D59—21no—
646C2×C4×D59—22no—
647C2×C4×D59—22no—
648C2×C4×D59—21no—
649C2×C4×D59—21no—
650C2×C4×D59—21no—
651C2×C4×D59—21no—
652C2×C4×D59—21no—
653C2×C4×D59—21no—
654C2×C4×D59—21no—
655C2×C4×D59—21no—
656C2×C4×D59—21no—
657C2×C4×D59—21no—
658C2×C4×D59—44no—
659C2×C4×D59—44no—
660C2×C4×D59—44no—
661C2×C4×D59C2×D411yescharacteristic
662C2×C4×D59C2×D411yescharacteristic
663C2×C4×D59C2411yescharacteristic
664C2×C4×D59C2411yescharacteristic
665C2×Dic118—22no—
666C2×Dic118—21no—
667C2×Dic118—21no—
668C2×Dic118—21no—
669C2×Dic118—41no—
670C2×Dic118C2411yescharacteristic
671C2×Dic118C2411yescharacteristic
672C2×Dic118C2411yescharacteristic
673Q16×C59—22no—
674Q16×C59—41no—
675SD16×C59—22no—
676SD16×C59—22no—
677SD16×C59—41no—
678SD16×C59—41no—
679D8×C59—22no—
680D8×C59—41no—
681C2×C8×C59—22no—
682C2×C8×C59—22no—
683C2×C8×C59C2411yescharacteristic
684C2×C8×C59C2411yescharacteristic
685C2×C8×C59C2411yescharacteristic
686C2×C8×C59C2411yescharacteristic
687C4⋊C4×C59—21no—
688C4⋊C4×C59—21no—
689C4⋊C4×C59C2411yescharacteristic
690C4⋊C4×C59C2411yescharacteristic
691C22⋊C4×C59—21no—
692C22⋊C4×C59—21no—
693C22⋊C4×C59—21no—
694C22⋊C4×C59—21no—
695C22⋊C4×C59—21no—
696C42×C59—21no—
697C22⋊Dic59—21no—
698C22⋊Dic59—21no—
699C22⋊Dic59—21no—
700C22⋊Dic59—21no—
701C22⋊Dic59—21no—
702C22⋊Dic59—21no—
703C22⋊Dic59—21no—
704C22⋊Dic59—21no—
705C22⋊Dic59—21no—
706C22⋊Dic59—21no—
707C22⋊Dic59—21no—
708C22⋊Dic59C2×D411yescharacteristic
709C22⋊Dic59C2×D411yescharacteristic
710C22⋊Dic59C2×D411yescharacteristic
711C22⋊Dic59C2×D411yescharacteristic
712#11745672—22no—
713#11745672—22no—
714#11745672—22no—
715#11745672—22no—
716#11745672C2×D414yescomplemented
717#11745671—22no—
718#11745671—22no—
719#11745671—22no—
720#11745671—22no—
721#11745671C2×D414yescomplemented
722#11745670—22no—
723#11745670—22no—
724#11745670—22no—
725#11745670—22no—
726#11745670C2×D414yescomplemented
727#11745669—22no—
728#11745669—22no—
729#11745669—22no—
730#11745669—22no—
731#11745669C2×D414yescomplemented
732(C2×D59)⋊C4—21no—
733(C2×D59)⋊C4—21no—
734(C2×D59)⋊C4—21no—
735(C2×D59)⋊C4—21no—
736(C2×D59)⋊C4—21no—
737(C2×D59)⋊C4—21no—
738(C2×D59)⋊C4—21no—
739(C2×D59)⋊C4—21no—
740(C2×D59)⋊C4—21no—
741(C2×D59)⋊C4—21no—
742(C2×D59)⋊C4—21no—
743(C2×D59)⋊C4—21no—
744(C2×D59)⋊C4—21no—
745(C2×D59)⋊C4—21no—
746(C2×D59)⋊C4C2×D411yescharacteristic
747(C2×D59)⋊C4C2×D411yescharacteristic
748(C2×D59)⋊C4C2×D411yescharacteristic
749(C2×D59)⋊C4C2×D411yescharacteristic
750C4⋊Dic59—21no—
751C4⋊Dic59—21no—
752C4⋊Dic59—21no—
753C4⋊Dic59—21no—
754C4⋊Dic59C2411yescharacteristic
755C4⋊Dic59C2411yescharacteristic
756Dic59⋊C4—21no—
757Dic59⋊C4—21no—
758Dic59⋊C4—21no—
759Dic59⋊C4—21no—
760Dic59⋊C4—21no—
761Dic59⋊C4—21no—
762Dic59⋊C4—21no—
763Dic59⋊C4—21no—
764Dic59⋊C4—21no—
765Dic59⋊C4—21no—
766Dic59⋊C4C2×D411yescharacteristic
767Dic59⋊C4C2×D411yescharacteristic
768Dic59⋊C4C2×D411yescharacteristic
769Dic59⋊C4C2×D411yescharacteristic
770C4×Dic59—21no—
771C4×Dic59—21no—
772C4×Dic59—21no—
773C4×Dic59—21no—
774C4×Dic59—21no—
775C4×Dic59C2×D411yescharacteristic
776C4×Dic59C2×D411yescharacteristic
777C4×Dic59C2411yescharacteristic
778C4×Dic59C2411yescharacteristic
779#11745664—22no—
780#11745664—22no—
781#11745664—22no—
782#11745664—22no—
783C2×C59⋊C8—22no—
784C2×C59⋊C8C2×D414yescomplemented
785C2×C59⋊C8C2411yescharacteristic
786C2×C59⋊C8C2411yescharacteristic
787C2×C59⋊C8C2411yescharacteristic
788C2×C59⋊C8C2411yescharacteristic
789Dic236—22no—
790Dic236—41no—
791D472—22no—
792D472—41no—
793#11745660—22no—
794#11745660—22no—
795#11745660—41no—
796#11745660—41no—
797C8×D59—22no—
798C8×D59—22no—
799C8×D59—22no—
800C8×D59—22no—
801C23×C59—21no—
802C23×C59—22no—
803C23×C59—21no—
804C23×C59—21no—
805C23×C59—41no—
806C23×C59—41no—
807C23×C59—42no—
808C23×C59—42no—
809C23×C59—81no—
810C23×C59C22×D411yescharacteristic
811C23×C59C22×D411yescharacteristic
812C23×C59C22×D411yescharacteristic
813C22×D59—22no—
814C22×D59—21no—
815C22×D59—22no—
816C22×D59—21no—
817C22×D59—21no—
818C22×D59—41no—
819C22×D59—42no—
820C22×D59—42no—
821C22×D59—42no—
822C22×D59—42no—
823C22×D59—42no—
824C22×D59—42no—
825C22×D59—81no—
826C22×D59—81no—
827C22×D59—81no—
828C22×D59C22×D411yescharacteristic
829C22×D59C22×D411yescharacteristic
830Q8×C59—21no—
831Q8×C59—21no—
832Q8×C59—21no—
833Q8×C59—21no—
834Q8×C59—21no—
835Q8×C59—42no—
836Q8×C59C22×D412yes—
837D4×C59—24no—
838D4×C59—21no—
839D4×C59—21no—
840D4×C59—21no—
841D4×C59—21no—
842D4×C59—21no—
843D4×C59—42no—
844D4×C59—42no—
845D4×C59—42no—
846D4×C59—42no—
847D4×C59—42no—
848D4×C59—42no—
849D4×C59—81no—
850D4×C59C22×D412yes—
851C2×C4×C59—22no—
852C2×C4×C59—21no—
853C2×C4×C59—22no—
854C2×C4×C59—24no—
855C2×C4×C59—22no—
856C2×C4×C59—21no—
857C2×C4×C59—21no—
858C2×C4×C59—21no—
859C2×C4×C59—21no—
860C2×C4×C59—21no—
861C2×C4×C59—21no—
862C2×C4×C59—21no—
863C2×C4×C59—21no—
864C2×C4×C59—42no—
865C2×C4×C59—42no—
866C2×C4×C59—42no—
867C2×C4×C59—42no—
868C2×C4×C59—42no—
869C2×C4×C59C22×D411yescharacteristic
870C2×C4×C59C22×D411yescharacteristic
871C2×C4×C59C22×D412yes—
872C2×C4×C59C22×D411yescharacteristic
873C2×C4×C59H(5,𝔽2)12yes—
874C2×C4×C59C2511yescharacteristic
875C22⋊D59—24no—
876C22⋊D59—22no—
877C22⋊D59—22no—
878C22⋊D59—41no—
879C22⋊D59—41no—
880C22⋊D59—42no—
881C22⋊D59—42no—
882C22⋊D59—42no—
883C22⋊D59—42no—
884C22⋊D59—42no—
885C22⋊D59—42no—
886C22⋊D59—42no—
887C22⋊D59—42no—
888C22⋊D59—42no—
889C22⋊D59—42no—
890C22⋊D59—42no—
891C22⋊D59—42no—
892C22⋊D59—81no—
893C22⋊D59—81no—
894C22⋊D59—81no—
895C22⋊D59—81no—
896C2×Dic59—22no—
897C2×Dic59—21no—
898C2×Dic59—21no—
899C2×Dic59—21no—
900C2×Dic59—21no—
901C2×Dic59—21no—
902C2×Dic59—41no—
903C2×Dic59—41no—
904C2×Dic59—42no—
905C2×Dic59—42no—
906C2×Dic59—42no—
907C2×Dic59—42no—
908C2×Dic59—81no—
909C2×Dic59C22×D411yescharacteristic
910C2×Dic59C22×D411yescharacteristic
911C2×Dic59C22×D411yescharacteristic
912C2×Dic59C22×D411yescharacteristic
913C2×Dic59C22×D411yescharacteristic
914C2×Dic59C22×D411yescharacteristic
915D236—21no—
916D236—21no—
917D236—21no—
918D236—21no—
919D236—21no—
920D236—42no—
921D236—42no—
922D236—42no—
923D236—42no—
924D236—81no—
925D236C22×D412yes—
926C4×D59—22no—
927C4×D59—22no—
928C4×D59—24no—
929C4×D59—21no—
930C4×D59—21no—
931C4×D59—21no—
932C4×D59—21no—
933C4×D59—42no—
934C4×D59—42no—
935C4×D59—42no—
936C4×D59—42no—
937C4×D59—42no—
938C4×D59—42no—
939C4×D59—42no—
940C4×D59—42no—
941C4×D59—42no—
942C4×D59—81no—
943Dic118—21no—
944Dic118—21no—
945Dic118—21no—
946Dic118—21no—
947Dic118—21no—
948Dic118—42no—
949Dic118—42no—
950Dic118—42no—
951Dic118C22×D412yes—
952C8×C59—21no—
953C8×C59—21no—
954C8×C59—21no—
955C8×C59—21no—
956C59⋊C8—21no—
957C59⋊C8—21no—
958C59⋊C8C22×D412yes—
959C59⋊C8C22×D412yes—
960#61030—591nomaximal, Sylow
961C22×C59—21no—
962C22×C59—21no—
963C22×C59—21no—
964C22×C59—21no—
965C22×C59—21no—
966C22×C59—22no—
967C22×C59—21no—
968C22×C59—21no—
969C22×C59—21no—
970C22×C59—41no—
971C22×C59—41no—
972C22×C59—41no—
973C22×C59—41no—
974C22×C59—41no—
975C22×C59—41no—
976C22×C59—41no—
977C22×C59—41no—
978C22×C59—82no—
979C22×C59—84no—
980C22×C59D4212yes—
981C22×C59C23×D411yescharacteristic
982C2×D59—21no—
983C2×D59—21no—
984C2×D59—21no—
985C2×D59—21no—
986C2×D59—22no—
987C2×D59—21no—
988C2×D59—44no—
989C2×D59—41no—
990C2×D59—41no—
991C2×D59—41no—
992C2×D59—41no—
993C2×D59—41no—
994C2×D59—41no—
995C2×D59—41no—
996C2×D59—41no—
997C2×D59—84no—
998C2×D59—84no—
999C2×D59—84no—
1000C2×D59#57512yescomplemented
1001C4×C59—21no—
1002C4×C59—22no—
1003C4×C59—21no—
1004C4×C59—41no—
1005C4×C59—41no—
1006C4×C59—41no—
1007C4×C59—41no—
1008C4×C59D4212yes—
1009C4×C59C23×D411yescharacteristic
1010C4×C59C2×H(5,𝔽2)11yescharacteristic
1011Dic59—21no—
1012Dic59—21no—
1013Dic59—22no—
1014Dic59—21no—
1015Dic59—21no—
1016Dic59—21no—
1017Dic59—21no—
1018Dic59—41no—
1019Dic59—41no—
1020Dic59—41no—
1021Dic59—41no—
1022C2×#575—591no—
1023C22×#135—591no—
1024D4×#41—591no—
1025D4×#41—591no—
1026#3271—591no—
1027#3271—591no—
1028#3270—591no—
1029#3270—591no—
1030#3269—591no—
1031#3269—591no—
1032#3268—591no—
1033#3268—591no—
1034#3267—591no—
1035#3267—591no—
1036#3266—591no—
1037#3266—591no—
1038#3265—591no—
1039#3265—591no—
1040#3264—591no—
1041#3264—591no—
1042#3150—591no—
1043#3054—591no—
1044#3050—591no—
1045#3035—591no—
1046#3035—591no—
1047#3002—591no—
1048#3002—591no—
1049#3002—591no—
1050#3002D5911yescharacteristic, complemented
1051#2943—591no—
1052C2×#435—591no—
1053C2×C59—22no—
1054C2×C59—41no—
1055C2×C59—42no—
1056C2×C59—41no—
1057C2×C59—81no—
1058C2×C59—81no—
1059C2×C59C2×D4211yescharacteristic
1060C2×C59C2×#57511yescharacteristic
1061C2×C59#358411yescharacteristic
1062D59—22no—
1063D59—41no—
1064D59—42no—
1065D59—81no—
1066D59—81no—
1067C22×#41—591no—
1068C22×#41—591no—
1069C22×#41—591no—
1070C22×#41C2×D5911yescharacteristic, complemented
1071#575—1188no—
1072C2×#137—591no—
1073C2×#137—591no—
1074C2×#137—591no—
1075C2×#137—591no—
1076C2×AGL(1,ℤ/8)—591no—
1077C2×AGL(1,ℤ/8)—591no—
1078C2×AGL(1,ℤ/8)—591no—
1079C2×AGL(1,ℤ/8)—591no—
1080C2×#135—591no—
1081C2×#135—591no—
1082C2×#135—591no—
1083C2×#135—591no—
1084C2×#135—591no—
1085C2×#135—591no—
1086C2×#135—591no—
1087C2×#135—591no—
1088C2×#135—591no—
1089C2×#135—591no—
1090C2×#135—591no—
1091C2×#135—1188no—
1092C2×#135C2×D5911yescharacteristic, complemented
1093C2×#135C2×D5911yescharacteristic, complemented
1094C22×Q16—591no—
1095C22×SD16—591no—
1096C22×SD16—591no—
1097C22×D8—591no—
1098C22×M16—591no—
1099C23×C8—591no—
1100#550—591no—
1101#550—591no—
1102D4×Q8—591no—
1103D4×Q8—591no—
1104#548—591no—
1105#548—591no—
1106#548—591no—
1107#548—591no—
1108#547—591no—
1109#547—591no—
1110#547—1181no—
1111#547—1181no—
1112#546—591no—
1113#546—591no—
1114#546—591no—
1115#546—591no—
1116#546—1181no—
1117#546—1181no—
1118#546—1181no—
1119#546—1181no—
1120D42—591no—
1121D42—591no—
1122D42—1181no—
1123D42—1181no—
1124#532—591no—
1125#532—591no—
1126#532—1181no—
1127#532—1181no—
1128#525—591no—
1129#525—591no—
1130#525—591no—
1131#525—1181no—
1132#525—1181no—
1133#525—1181no—
1134#525—1181no—
1135#525C2×D5911yescharacteristic, complemented
1136C4×#41—591no—
1137C4×#41—591no—
1138C2×C4×D4—591no—
1139C2×C4×D4—1181no—
1140C2×C4×D4—1181no—
1141#497—591no—
1142#497—591no—
1143#497—591no—
1144#497—591no—
1145#496—591no—
1146#496—591no—
1147#496—591no—
1148#496—591no—
1149#470—591no—
1150#470—591no—
1151#469—591no—
1152#469—591no—
1153#468—591no—
1154#468—591no—
1155#468—591no—
1156#468—591no—
1157#467—591no—
1158#467—591no—
1159#466—591no—
1160#466—591no—
1161#465—591no—
1162#465—591no—
1163#465—591no—
1164#465—591no—
1165#464—591no—
1166#464—591no—
1167#464—591no—
1168#464—591no—
1169#463—591no—
1170#463—591no—
1171#463—591no—
1172#463—591no—
1173#462—591no—
1174#462—591no—
1175#461—591no—
1176#461—591no—
1177#460—591no—
1178#460—591no—
1179#459—591no—
1180#459—591no—
1181#452—591no—
1182#452—591no—
1183#452—591no—
1184#452—591no—
1185#452—591no—
1186#452—591no—
1187#452C2×D5911yescharacteristic, complemented
1188#452C2×D5911yescharacteristic, complemented
1189#451—591no—
1190#451—591no—
1191#451—591no—
1192#451C2×D5911yescharacteristic, complemented
1193#450—591no—
1194#450—591no—
1195#450—591no—
1196#450C2×D5911yescharacteristic, complemented
1197#449—591no—
1198#449—591no—
1199#449—591no—
1200#449—591no—
1201#449—591no—
1202#449—591no—
1203#449C2×D5911yescharacteristic, complemented
1204#449C2×D5911yescharacteristic, complemented
1205#448—591no—
1206#448—591no—
1207#448—591no—
1208#448C2×D5911yescharacteristic, complemented
1209#447—591no—
1210#447—591no—
1211#447—591no—
1212#447C2×D5911yescharacteristic, complemented
1213#442—591no—
1214#442—591no—
1215#441—591no—
1216#441—591no—
1217#440—591no—
1218#440—591no—
1219#440—591no—
1220#440—591no—
1221#435—591no—
1222#435—591no—
1223#435—591no—
1224#435—591no—
1225#435—591no—
1226#435—591no—
1227#435—591no—
1228#435—591no—
1229#427—591no—
1230C2×C4⋊C8—591no—
1231#416—591no—
1232#416—591no—
1233#416—591no—
1234#416—591no—
1235#416C2×D5911yescharacteristic, complemented
1236#416C2×D5911yescharacteristic, complemented
1237C2×C22⋊C8—591no—
1238C2×C22⋊C8C2×D5911yescharacteristic, complemented
1239C2×#97—591no—
1240C59#6103011yescharacteristic, complemented, Sylow
1241C2×#41—21no—
1242C2×#41—21no—
1243C2×#41—24no—
1244C2×#41—42no—
1245C2×#41—591no—
1246C2×#41—591no—
1247C2×#41—591no—
1248C2×#41—591no—
1249C2×#41—591no—
1250C2×#41—591no—
1251C2×#41—591no—
1252C2×#41—591no—
1253C2×#41—591no—
1254C2×#41—1181no—
1255C2×#41—1181no—
1256C2×#41—1184no—
1257C2×#41—1181no—
1258C2×#41—1181no—
1259C2×#41—1181no—
1260C2×#41—1181no—
1261C2×#41—1184no—
1262C2×#41—1184no—
1263C2×#41—2362no—
1264C2×#41—2362no—
1265C2×#41—2362no—
1266C2×#41C22×D5911yescharacteristic
1267C2×#41C22×D5911yescharacteristic
1268C2×#41C22×D5911yescharacteristic
1269C2×#41C22×D5911yescharacteristic
1270C2×#41C22×D5911yescharacteristic
1271C22×Q8—591no—
1272C22×Q8—591no—
1273C22×Q8—591no—
1274C22×Q8C22×D5911yescharacteristic
1275C22×D4—21no—
1276C22×D4—591no—
1277C22×D4—591no—
1278C22×D4—591no—
1279C22×D4—591no—
1280C22×D4—1181no—
1281C22×D4—1181no—
1282C22×D4—1181no—
1283C22×D4—1181no—
1284C22×D4—1181no—
1285C22×D4C22×D5911yescharacteristic
1286C23×C4—21no—
1287C23×C4—591no—
1288C23×C4—1181no—
1289C23×C4—1181no—
1290C23×C4—1181no—
1291C23×C4C22×D5911yescharacteristic
1292#137—1184no—
1293#137—1184no—
1294#137—1184no—
1295#137—1184no—
1296AGL(1,ℤ/8)—1184no—
1297AGL(1,ℤ/8)—1184no—
1298AGL(1,ℤ/8)—1184no—
1299AGL(1,ℤ/8)—1184no—
1300#135—24no—
1301#135—42no—
1302#135—598no—
1303#135—1184no—
1304#135—1184no—
1305#135—1184no—
1306#135—1184no—
1307#135—1184no—
1308#135—1184no—
1309#135—1184no—
1310#135—1184no—
1311#135—1184no—
1312#135—2362no—
1313C2×Q16—591no—
1314C2×Q16—591no—
1315C2×Q16—591no—
1316C2×Q16—591no—
1317C2×Q16—591no—
1318C2×Q16—591no—
1319C2×Q16—591no—
1320C2×Q16—1184no—
1321C2×Q16C22×D5911yescharacteristic
1322C2×Q16C22×D5911yescharacteristic
1323C2×SD16—591no—
1324C2×SD16—591no—
1325C2×SD16—591no—
1326C2×SD16—591no—
1327C2×SD16—591no—
1328C2×SD16—591no—
1329C2×SD16—591no—
1330C2×SD16—591no—
1331C2×SD16—591no—
1332C2×SD16—591no—
1333C2×SD16—591no—
1334C2×SD16—591no—
1335C2×SD16—591no—
1336C2×SD16—591no—
1337C2×SD16—1184no—
1338C2×SD16—1184no—
1339C2×SD16C22×D5911yescharacteristic
1340C2×SD16C22×D5911yescharacteristic
1341C2×SD16C22×D5911yescharacteristic
1342C2×SD16C22×D5911yescharacteristic
1343C2×D8—591no—
1344C2×D8—591no—
1345C2×D8—591no—
1346C2×D8—591no—
1347C2×D8—591no—
1348C2×D8—591no—
1349C2×D8—591no—
1350C2×D8—1184no—
1351C2×D8C22×D5911yescharacteristic
1352C2×D8C22×D5911yescharacteristic
1353C2×M16—591no—
1354C2×M16—591no—
1355C2×M16—591no—
1356C2×M16—591no—
1357C2×M16—1184no—
1358C22×C8—591no—
1359C22×C8—591no—
1360C22×C8—591no—
1361C22×C8—591no—
1362C22×C8—591no—
1363C22×C8—591no—
1364C22×C8—1184no—
1365C22×C8C22×D5911yescharacteristic
1366C22×C8C22×D5911yescharacteristic
1367C4⋊Q8—591no—
1368C4⋊Q8—591no—
1369C4⋊Q8—1181no—
1370C4⋊Q8—1181no—
1371#127—591no—
1372#127—591no—
1373#127—1181no—
1374#127—1181no—
1375#124—591no—
1376#124—591no—
1377#124—591no—
1378#124—591no—
1379#124—1181no—
1380#124—1181no—
1381#124—1181no—
1382#124—1181no—
1383#123—21no—
1384#123—1181no—
1385#123—1181no—
1386#123—1181no—
1387#123—1181no—
1388#123—1181no—
1389#123—1181no—
1390#123—1181no—
1391#123—1181no—
1392#123—1181no—
1393#123—1181no—
1394#123—1181no—
1395C22⋊Q8—591no—
1396C22⋊Q8—591no—
1397C22⋊Q8—591no—
1398C22⋊Q8—591no—
1399C22⋊Q8—591no—
1400C22⋊Q8—591no—
1401C22⋊Q8—1181no—
1402C22⋊Q8—1181no—
1403C22⋊Q8—1181no—
1404C22⋊Q8—1181no—
1405C22⋊Q8—1181no—
1406C22⋊Q8—1181no—
1407C22⋊Q8—1181no—
1408C22⋊Q8—1181no—
1409C22⋊Q8C22×D5911yescharacteristic
1410C22⋊Q8C22×D5911yescharacteristic
1411#121—591no—
1412#121—591no—
1413#121—591no—
1414#121—591no—
1415#121—591no—
1416#121—591no—
1417#121—1181no—
1418#121—1181no—
1419#121—1181no—
1420#121—1181no—
1421#121—1181no—
1422#121—1181no—
1423#121—1181no—
1424#121—1181no—
1425#121—1181no—
1426#121—1181no—
1427#121—1181no—
1428#121—1181no—
1429#121—1181no—
1430#121—1181no—
1431#121—1181no—
1432#121—1181no—
1433#121—1181no—
1434#121—1181no—
1435#121—1181no—
1436#121—1181no—
1437#121C22×D5911yescharacteristic
1438#121C22×D5911yescharacteristic
1439#120—21no—
1440#120—1181no—
1441#120—1181no—
1442#120—1181no—
1443#120—1181no—
1444#120—1181no—
1445#120—1181no—
1446#120—1181no—
1447#120—1181no—
1448#120—1181no—
1449#120—1181no—
1450#120—1181no—
1451C4×Q8—591no—
1452C4×Q8—591no—
1453C4×Q8—591no—
1454C4×Q8—591no—
1455C4×D4—21no—
1456C4×D4—21no—
1457C4×D4—591no—
1458C4×D4—591no—
1459C4×D4—591no—
1460C4×D4—591no—
1461C4×D4—591no—
1462C4×D4—591no—
1463C4×D4—591no—
1464C4×D4—591no—
1465C4×D4—591no—
1466C4×D4—591no—
1467C4×D4—591no—
1468C4×D4—591no—
1469C4×D4—1181no—
1470C4×D4—1181no—
1471C4×D4—1181no—
1472C4×D4—1181no—
1473C4×D4—1181no—
1474C4×D4—1181no—
1475C4×D4—1181no—
1476C4×D4—1181no—
1477C4×D4—1181no—
1478C4×D4—1181no—
1479C4×D4—1181no—
1480C4×D4—1181no—
1481C4×D4—1181no—
1482C4×D4—1181no—
1483C4×D4—1181no—
1484C4×D4—1181no—
1485C4×D4—1181no—
1486C4×D4—1181no—
1487C4×D4—1181no—
1488C4×D4—1181no—
1489C4×D4—1181no—
1490C4×D4—1181no—
1491#117—591no—
1492#117—1181no—
1493#117—1181no—
1494#117C22×D5911yescharacteristic
1495C2×C4⋊C4—591no—
1496C2×C4⋊C4—1181no—
1497C2×C4⋊C4—1181no—
1498C2×C22⋊C4—591no—
1499C2×C22⋊C4—591no—
1500C2×C22⋊C4—1181no—
1501C2×C22⋊C4—1181no—
1502C2×C22⋊C4—1181no—
1503C2×C22⋊C4—1181no—
1504C2×C42—591no—
1505C2×C42—1181no—
1506C2×C42—1181no—
1507#107—591no—
1508#107—591no—
1509#106—591no—
1510#106—591no—
1511C4⋊C8—591no—
1512C4⋊C8—591no—
1513C4⋊C8—591no—
1514C4⋊C8—591no—
1515#103—591no—
1516#103—591no—
1517#103—591no—
1518#103—591no—
1519#103—591no—
1520#103—591no—
1521#103—591no—
1522#103—591no—
1523#103C22×D5911yescharacteristic
1524#103C22×D5911yescharacteristic
1525#103C22×D5911yescharacteristic
1526#103C22×D5911yescharacteristic
1527#102—591no—
1528#102—591no—
1529#102—591no—
1530#102—591no—
1531#102—591no—
1532#102—591no—
1533#102—591no—
1534#102—591no—
1535#102C22×D5911yescharacteristic
1536#102C22×D5911yescharacteristic
1537#102C22×D5911yescharacteristic
1538#102C22×D5911yescharacteristic
1539C22⋊C8—591no—
1540C22⋊C8—591no—
1541C22⋊C8—591no—
1542C22⋊C8—591no—
1543C22⋊C8C22×D5911yescharacteristic
1544C22⋊C8C22×D5911yescharacteristic
1545C22⋊C8C22×D5911yescharacteristic
1546C22⋊C8C22×D5911yescharacteristic
1547#97—591no—
1548#97—591no—
1549#97—591no—
1550#97—591no—
1551C24—21no—
1552C24—591no—
1553C24—1181no—
1554C24—1181no—
1555C24—1181no—
1556C24D4×D5911yescharacteristic
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—22no—
1561#41—22no—
1562#41—22no—
1563#41—22no—
1564#41—44no—
1565#41—41no—
1566#41—41no—
1567#41—44no—
1568#41—594no—
1569#41—1182no—
1570#41—1182no—
1571#41—1182no—
1572#41—1182no—
1573#41—1182no—
1574#41—1182no—
1575#41—1182no—
1576#41—1182no—
1577#41—1182no—
1578#41—1182no—
1579#41—1182no—
1580#41—2364no—
1581#41—2364no—
1582#41—2361no—
1583#41—2361no—
1584#41—2364no—
1585#41—2364no—
1586#41—2361no—
1587#41—2361no—
1588#41—2364no—
1589#41—2364no—
1590#41—2361no—
1591#41—2361no—
1592#41D4×D5914yescomplemented
1593C2×Q8—21no—
1594C2×Q8—22no—
1595C2×Q8—41no—
1596C2×Q8—591no—
1597C2×Q8—591no—
1598C2×Q8—591no—
1599C2×Q8—1181no—
1600C2×Q8—1181no—
1601C2×Q8—1182no—
1602C2×Q8—1181no—
1603C2×Q8—1182no—
1604C2×Q8—1182no—
1605C2×Q8—2361no—
1606C2×Q8—2361no—
1607C2×Q8—2361no—
1608C2×Q8C23×D5911yescharacteristic
1609C2×Q8C23×D5911yescharacteristic
1610C2×Q8C23×D5911yescharacteristic
1611C2×D4—21no—
1612C2×D4—22no—
1613C2×D4—21no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—41no—
1621C2×D4—44no—
1622C2×D4—591no—
1623C2×D4—591no—
1624C2×D4—591no—
1625C2×D4—591no—
1626C2×D4—591no—
1627C2×D4—591no—
1628C2×D4—591no—
1629C2×D4—1182no—
1630C2×D4—1181no—
1631C2×D4—1181no—
1632C2×D4—1181no—
1633C2×D4—1181no—
1634C2×D4—1181no—
1635C2×D4—1181no—
1636C2×D4—1181no—
1637C2×D4—1181no—
1638C2×D4—1181no—
1639C2×D4—1181no—
1640C2×D4—1182no—
1641C2×D4—1181no—
1642C2×D4—1182no—
1643C2×D4—1181no—
1644C2×D4—1181no—
1645C2×D4—1181no—
1646C2×D4—1181no—
1647C2×D4—1181no—
1648C2×D4—1181no—
1649C2×D4—1181no—
1650C2×D4—1181no—
1651C2×D4—1181no—
1652C2×D4—1181no—
1653C2×D4—1181no—
1654C2×D4—2361no—
1655C2×D4—2361no—
1656C2×D4—2361no—
1657C2×D4—2364no—
1658C2×D4—2364no—
1659C2×D4—2364no—
1660C2×D4—2362no—
1661C2×D4—2364no—
1662C2×D4—2364no—
1663C2×D4C23×D5911yescharacteristic
1664C2×D4C23×D5911yescharacteristic
1665C2×D4C23×D5911yescharacteristic
1666C22×C4—22no—
1667C22×C4—21no—
1668C22×C4—22no—
1669C22×C4—21no—
1670C22×C4—21no—
1671C22×C4—21no—
1672C22×C4—21no—
1673C22×C4—21no—
1674C22×C4—44no—
1675C22×C4—591no—
1676C22×C4—591no—
1677C22×C4—591no—
1678C22×C4—591no—
1679C22×C4—591no—
1680C22×C4—591no—
1681C22×C4—591no—
1682C22×C4—1181no—
1683C22×C4—1181no—
1684C22×C4—1181no—
1685C22×C4—1181no—
1686C22×C4—1181no—
1687C22×C4—1181no—
1688C22×C4—1181no—
1689C22×C4—1181no—
1690C22×C4—1181no—
1691C22×C4—1181no—
1692C22×C4—1182no—
1693C22×C4—1181no—
1694C22×C4—1182no—
1695C22×C4—1181no—
1696C22×C4—1181no—
1697C22×C4—1181no—
1698C22×C4—1181no—
1699C22×C4—1181no—
1700C22×C4—2364no—
1701C22×C4—2364no—
1702C22×C4—2364no—
1703C22×C4D4×D5911yescharacteristic
1704C22×C4D4×D5911yescharacteristic
1705C22×C4D4×D5911yescharacteristic
1706C22×C4C23×D5911yescharacteristic
1707C22×C4C23×D5911yescharacteristic
1708C22×C4C23×D5911yescharacteristic
1709Q16—22no—
1710Q16—41no—
1711Q16—594no—
1712Q16—1182no—
1713Q16—1182no—
1714Q16—1182no—
1715Q16—1182no—
1716Q16—1182no—
1717Q16—2361no—
1718SD16—22no—
1719SD16—22no—
1720SD16—41no—
1721SD16—41no—
1722SD16—594no—
1723SD16—594no—
1724SD16—1182no—
1725SD16—1182no—
1726SD16—1182no—
1727SD16—1182no—
1728SD16—1182no—
1729SD16—1182no—
1730SD16—1182no—
1731SD16—1182no—
1732SD16—1182no—
1733SD16—1182no—
1734SD16—2361no—
1735SD16—2361no—
1736D8—22no—
1737D8—41no—
1738D8—594no—
1739D8—1182no—
1740D8—1182no—
1741D8—1182no—
1742D8—1182no—
1743D8—1182no—
1744D8—2361no—
1745M16—1182no—
1746M16—1182no—
1747M16—1182no—
1748M16—1182no—
1749C2×C8—22no—
1750C2×C8—22no—
1751C2×C8—594no—
1752C2×C8—591no—
1753C2×C8—591no—
1754C2×C8—591no—
1755C2×C8—591no—
1756C2×C8—1182no—
1757C2×C8—1182no—
1758C2×C8—1182no—
1759C2×C8—1182no—
1760C2×C8—1182no—
1761C2×C8C23×D5911yescharacteristic
1762C2×C8C23×D5911yescharacteristic
1763C2×C8C23×D5911yescharacteristic
1764C2×C8C23×D5911yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—591no—
1768C4⋊C4—591no—
1769C4⋊C4—591no—
1770C4⋊C4—591no—
1771C4⋊C4—591no—
1772C4⋊C4—591no—
1773C4⋊C4—1181no—
1774C4⋊C4—1181no—
1775C4⋊C4—1181no—
1776C4⋊C4—1181no—
1777C4⋊C4—1181no—
1778C4⋊C4—1181no—
1779C4⋊C4—1181no—
1780C4⋊C4—1181no—
1781C4⋊C4—1181no—
1782C4⋊C4—1181no—
1783C4⋊C4—1181no—
1784C4⋊C4—1181no—
1785C4⋊C4—1181no—
1786C4⋊C4—1181no—
1787C4⋊C4C23×D5911yescharacteristic
1788C4⋊C4C23×D5911yescharacteristic
1789C22⋊C4—21no—
1790C22⋊C4—21no—
1791C22⋊C4—21no—
1792C22⋊C4—21no—
1793C22⋊C4—21no—
1794C22⋊C4—591no—
1795C22⋊C4—591no—
1796C22⋊C4—591no—
1797C22⋊C4—591no—
1798C22⋊C4—591no—
1799C22⋊C4—591no—
1800C22⋊C4—591no—
1801C22⋊C4—591no—
1802C22⋊C4—1181no—
1803C22⋊C4—1181no—
1804C22⋊C4—1181no—
1805C22⋊C4—1181no—
1806C22⋊C4—1181no—
1807C22⋊C4—1181no—
1808C22⋊C4—1181no—
1809C22⋊C4—1181no—
1810C22⋊C4—1181no—
1811C22⋊C4—1181no—
1812C22⋊C4—1181no—
1813C22⋊C4—1181no—
1814C22⋊C4—1181no—
1815C22⋊C4—1181no—
1816C22⋊C4—1181no—
1817C22⋊C4—1181no—
1818C22⋊C4—1181no—
1819C22⋊C4—1181no—
1820C22⋊C4—1181no—
1821C22⋊C4—1181no—
1822C22⋊C4—1181no—
1823C22⋊C4—1181no—
1824C22⋊C4—1181no—
1825C22⋊C4—1181no—
1826C22⋊C4—1181no—
1827C42—21no—
1828C42—591no—
1829C42—591no—
1830C42—591no—
1831C42—591no—
1832C42—1181no—
1833C42—1181no—
1834C42—1181no—
1835C42—1181no—
1836C42—1181no—
1837C23—21no—
1838C23—22no—
1839C23—21no—
1840C23—21no—
1841C23—41no—
1842C23—41no—
1843C23—42no—
1844C23—42no—
1845C23—81no—
1846C23—591no—
1847C23—591no—
1848C23—1182no—
1849C23—1181no—
1850C23—1182no—
1851C23—1181no—
1852C23—1181no—
1853C23—4721no—
1854C23—4721no—
1855C23—4721no—
1856C23—2361no—
1857C23—2362no—
1858C23—2362no—
1859C23—2362no—
1860C23—2362no—
1861C23—2362no—
1862C23—2362no—
1863C23C2×D4×D5911yescharacteristic
1864C23C2×D4×D5911yescharacteristic
1865C23C2×D4×D5911yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—42no—
1872Q8—592no—
1873Q8—1181no—
1874Q8—1181no—
1875Q8—1181no—
1876Q8—1181no—
1877Q8—1181no—
1878Q8—2362no—
1879Q8—2362no—
1880Q8—2362no—
1881Q8C2×D4×D5912yes—
1882D4—24no—
1883D4—21no—
1884D4—21no—
1885D4—21no—
1886D4—21no—
1887D4—21no—
1888D4—42no—
1889D4—42no—
1890D4—42no—
1891D4—42no—
1892D4—42no—
1893D4—42no—
1894D4—81no—
1895D4—592no—
1896D4—1182no—
1897D4—1182no—
1898D4—1184no—
1899D4—1181no—
1900D4—1181no—
1901D4—1181no—
1902D4—1181no—
1903D4—1181no—
1904D4—4721no—
1905D4—4721no—
1906D4—4721no—
1907D4—4721no—
1908D4—4721no—
1909D4—2362no—
1910D4—2362no—
1911D4—2362no—
1912D4—2362no—
1913D4—2361no—
1914D4—2361no—
1915D4—2362no—
1916D4—2362no—
1917D4—2362no—
1918D4—2362no—
1919D4—2362no—
1920D4—2362no—
1921D4—2362no—
1922D4—2362no—
1923D4—2362no—
1924D4—2362no—
1925D4—2362no—
1926D4—2362no—
1927D4C2×D4×D5912yes—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—24no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—42no—
1942C2×C4—42no—
1943C2×C4—42no—
1944C2×C4—42no—
1945C2×C4—42no—
1946C2×C4—591no—
1947C2×C4—591no—
1948C2×C4—591no—
1949C2×C4—591no—
1950C2×C4—591no—
1951C2×C4—591no—
1952C2×C4—1181no—
1953C2×C4—1182no—
1954C2×C4—1181no—
1955C2×C4—1181no—
1956C2×C4—1181no—
1957C2×C4—1181no—
1958C2×C4—1182no—
1959C2×C4—1182no—
1960C2×C4—1184no—
1961C2×C4—1181no—
1962C2×C4—1181no—
1963C2×C4—1181no—
1964C2×C4—1181no—
1965C2×C4—4721no—
1966C2×C4—4721no—
1967C2×C4—2362no—
1968C2×C4—2362no—
1969C2×C4—2362no—
1970C2×C4—2362no—
1971C2×C4—2362no—
1972C2×C4—2362no—
1973C2×C4—2362no—
1974C2×C4—2361no—
1975C2×C4—2361no—
1976C2×C4—2362no—
1977C2×C4—2362no—
1978C2×C4—2362no—
1979C2×C4—2362no—
1980C2×C4—2362no—
1981C2×C4—2362no—
1982C2×C4C2×D4×D5911yescharacteristic
1983C2×C4C2×D4×D5911yescharacteristic
1984C2×C4C2×D4×D5912yes—
1985C2×C4C2×D4×D5911yescharacteristic
1986C2×C4#1427377212yes—
1987C2×C4C24×D5911yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—21no—
1992C8—592no—
1993C8—592no—
1994C8—1181no—
1995C8—1181no—
1996C22—21no—
1997C22—21no—
1998C22—21no—
1999C22—21no—
2000C22—22no—
2001C22—21no—
2002C22—21no—
2003C22—21no—
2004C22—21no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—82no—
2014C22—84no—
2015C22—592no—
2016C22—1181no—
2017C22—1181no—
2018C22—1181no—
2019C22—1182no—
2020C22—1181no—
2021C22—1181no—
2022C22—4724no—
2023C22—4724no—
2024C22—4724no—
2025C22—2364no—
2026C22—2361no—
2027C22—2361no—
2028C22—2361no—
2029C22—2361no—
2030C22—2361no—
2031C22—2361no—
2032C22—2361no—
2033C22—2361no—
2034C22#1683803412yes—
2035C22C22×D4×D5911yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—22no—
2039C4—41no—
2040C4—41no—
2041C4—41no—
2042C4—41no—
2043C4—1181no—
2044C4—1181no—
2045C4—1182no—
2046C4—1181no—
2047C4—1181no—
2048C4—1181no—
2049C4—1181no—
2050C4—2361no—
2051C4—2361no—
2052C4—2361no—
2053C4—2361no—
2054C4#1683803412yes—
2055C4C22×D4×D5911yescharacteristic
2056C4C2×#1427377211yescharacteristic
2057C2—22no—
2058C2—41no—
2059C2—41no—
2060C2—42no—
2061C2—81no—
2062C2—81no—
2063C2—1182no—
2064C2—4721no—
2065C2—4721no—
2066C2—2361no—
2067C2—2362no—
2068C2C2×#1683803411yescharacteristic
2069C2#575×D5911yescharacteristic
2070C2#2143886511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3002C2
socleC22×C59C23×D4
hypercenter#3002D59
hypocenterC59#61030
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. C2×#16838200C2semidirect
2. C2×#135×D59C2semidirect
3. #41×C22⋊D59C2semidirect
4. #21437579C2semidirect
5. #21435684C2semidirect
6. #21435679C2semidirect
7. #21435669C2semidirect
8. #21435664C2semidirect
9. #21435654C2semidirect
10. #21435649C2semidirect
11. #21435639C2semidirect
12. #21435634C2semidirect
13. #21435624C2semidirect
14. #21435619C2semidirect
15. #21435609C2semidirect
16. #21435604C2semidirect
17. #21435594C2semidirect
18. #21435589C2semidirect
19. #21435579C2semidirect
20. #21435574C2semidirect
21. #21434539C2semidirect
22. #21433702C2semidirect
23. #21433676C2semidirect
24. #21433549C2semidirect
25. #21433547C2semidirect
26. #21433318C2semidirect
27. #21433316C2semidirect
28. #21433310C2semidirect
29. #21432892C2semidirect
30. C2×#16837476C2semidirect
31. C59×#3002C2semidirect
32. C22×#11745685C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#41×D59C22semidirect
36. C2×#14273758C22semidirect
37. C2×#14273758C22semidirect
38. C2×#14273757C22semidirect
39. C2×#14273757C22semidirect
40. C2×#14273753C22semidirect
41. C2×#14273753C22semidirect
42. C2×#14273752C22semidirect
43. C2×#14273752C22semidirect
44. C2×#14273750C22semidirect
45. C2×#14273749C22semidirect
46. C2×#14273749C22semidirect
47. C2×#14273748C22semidirect
48. C2×#14273748C22semidirect
50. C2×#14273747C22semidirect
51. C2×#14273747C22semidirect
52. C2×#14273747C22semidirect
53. C2×#14273747C22semidirect
54. C2×#14273746C22semidirect
56. C2×Q16×D59C22semidirect
57. C2×SD16×D59C22semidirect
58. C2×SD16×D59C22semidirect
59. C2×D8×D59C22semidirect
60. C22×#11745664C22semidirect
61. C22×C8×D59C22semidirect
62. #16838071C22semidirect
63. #16838070C22semidirect
64. Q8×C22⋊D59C22semidirect
65. #16838065C22semidirect
66. #16838063C22semidirect
69. #16838058C22semidirect
70. #16838054C22semidirect
72. #16838051C22semidirect
76. #16838046C22semidirect
78. #16838043C22semidirect
82. #16838036C22semidirect
84. D4×C22⋊D59C22semidirect
88. #16837948C22semidirect
89. #16837948C22semidirect
90. #16837914C22semidirect
92. #16837913C22semidirect
96. #16837909C22semidirect
97. #41×Dic59C22semidirect
98. #16837870C22semidirect
102. #16837795C22semidirect
103. #16837795C22semidirect
104. #16837793C22semidirect
105. #16837793C22semidirect
106. #16837790C22semidirect
107. #16837790C22semidirect
108. #16837788C22semidirect
109. #16837788C22semidirect
110. #16837658C22semidirect
111. #16837658C22semidirect
112. #16837653C22semidirect
113. #16837653C22semidirect
114. #16837650C22semidirect
115. #16837650C22semidirect
116. #16837646C22semidirect
117. #16837646C22semidirect
118. #16837642C22semidirect
119. #16837642C22semidirect
120. #16837637C22semidirect
121. #16837637C22semidirect
122. #16837634C22semidirect
123. #16837634C22semidirect
124. #16837630C22semidirect
125. #16837630C22semidirect
126. #16837627C22semidirect
127. #16837626C22semidirect
128. #16837623C22semidirect
129. #16837622C22semidirect
130. #16837620C22semidirect
131. #16837619C22semidirect
132. #16837616C22semidirect
133. #16837615C22semidirect
134. #16837611C22semidirect
135. #16837610C22semidirect
136. #16837606C22semidirect
137. #16837605C22semidirect
138. #16837601C22semidirect
139. #16837600C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837567C22semidirect
143. #16837566C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837563C22semidirect
147. #16837561C22semidirect
148. #16837560C22semidirect
149. #16837559C22semidirect
150. #16837556C22semidirect
151. #16837555C22semidirect
152. #16837554C22semidirect
153. #16837551C22semidirect
154. #16837550C22semidirect
155. #16837549C22semidirect
156. #16837549C22semidirect
157. #16837548C22semidirect
158. #16837546C22semidirect
159. #16837544C22semidirect
160. #16837543C22semidirect
161. #16837542C22semidirect
162. #16837539C22semidirect
163. #16837538C22semidirect
164. #16837537C22semidirect
165. #16837534C22semidirect
166. #16837511C22semidirect
167. #16837511C22semidirect
168. #16837506C22semidirect
169. #16837506C22semidirect
170. #16837505C22semidirect
171. #16837505C22semidirect
172. #16837499C22semidirect
173. #16837499C22semidirect
174. #16837476C22semidirect
175. #16837476C22semidirect
176. #16837476C22semidirect
177. #16837476C22semidirect
178. #16837476C22semidirect
179. #16837476C22semidirect
180. #16837476C22semidirect
181. #16837476C22semidirect
182. #16837438C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837399C22semidirect
185. #16837399C22semidirect
186. #16837398C22semidirect
187. #16837396C22semidirect
188. C2×(C2×D59)⋊C8C22semidirect
189. C2×#14273637C22semidirect
190. C22×#41×C59C22semidirect
191. C2×#135×C59C22semidirect
192. C2×#135×C59C22semidirect
193. C59×#525C22semidirect
194. C59×#452C22semidirect
195. C59×#452C22semidirect
196. C59×#451C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#448C22semidirect
201. C59×#447C22semidirect
202. C59×#416C22semidirect
203. C59×#416C22semidirect
204. C2×C22⋊C8×C59C22semidirect
259. #14273747D4semidirect
532. #41×C59C2×D4semidirect
634. #11745685C2×D4semidirect
716. #11745672C2×D4semidirect
721. #11745671C2×D4semidirect
726. #11745670C2×D4semidirect
731. #11745669C2×D4semidirect
784. C2×C59⋊C8C2×D4semidirect
1000. C2×D59#575semidirect
1050. #3002D59semidirect
1070. C22×#41C2×D59semidirect
1092. C2×#135C2×D59semidirect
1093. C2×#135C2×D59semidirect
1135. #525C2×D59semidirect
1187. #452C2×D59semidirect
1188. #452C2×D59semidirect
1192. #451C2×D59semidirect
1196. #450C2×D59semidirect
1203. #449C2×D59semidirect
1204. #449C2×D59semidirect
1208. #448C2×D59semidirect
1212. #447C2×D59semidirect
1235. #416C2×D59semidirect
1236. #416C2×D59semidirect
1238. C2×C22⋊C8C2×D59semidirect
1240. C59#61030semidirect
1592. #41D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168382002
C2×#135×D592
#41×C22⋊D592
#214375792
#214356842
#214356792
#214356692
#214356642
#214356542
#214356492
#214356392
#214356342
#214356242
#214356192
#214356092
#214356042
#214355942
#214355892
#214355792
#214355742
#214345392
#214337022
#214336762
#214335492
#214335472
#214333182
#214333162
#214333102
#214328922
C2×#168374762
C59×#30022
#6103059