Finite Group Databasebeta

← C139×#26938 #48021534

Subgroups — C139×#26938 #48021534

Order 35584.

946 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#482×C139C211yesmaximal, characteristic, complemented
2C2×#463×C139C211yesmaximal, characteristic, complemented
3#2427×C139C211yesmaximal, characteristic, complemented
4#2363×C139C211yesmaximal, characteristic, complemented
5#2088×C139C211yesmaximal, characteristic, complemented
6#2042×C139C211yesmaximal, characteristic, complemented
7#2000×C139C211yesmaximal, characteristic, complemented
8#1999×C139C211yesmaximal, characteristic
9#1968×C139C211yesmaximal, characteristic, complemented
10#1928×C139C211yesmaximal, characteristic, complemented
11#1923×C139C211yesmaximal, characteristic, complemented
12#1879×C139C211yesmaximal, characteristic, complemented
13#1873×C139C211yesmaximal, characteristic, complemented
14#1862×C139C211yesmaximal, characteristic, complemented
15C4×#102×C139C211yesmaximal, characteristic, complemented
16C22×SD16×C139C2211yescharacteristic
17C22×D8×C139C2211yescharacteristic
18C2×#124×C139C2211yescharacteristic
19C2×C22⋊Q8×C139C2211yescharacteristic
20C2×#121×C139C2211yescharacteristic
21C2×#121×C139C2211yescharacteristic
22C2×C4×D4×C139C2211yescharacteristic
23C2×C4×D4×C139C2211yescharacteristic
24C2×#117×C139C2211yescharacteristic
25#482×C139—24no—
26#463×C139—24no—
27C2×#107×C139C2211yescharacteristic
28C2×#106×C139C2211yescharacteristic
29C2×C4⋊C8×C139C2211yescharacteristic
30C2×#103×C139C2211yescharacteristic
31C2×#103×C139C2211yescharacteristic
32C2×#103×C139C2211yescharacteristic
33C2×#102×C139C2211yescharacteristic
34C2×#102×C139C2211yescharacteristic
35C2×#102×C139C2211yescharacteristic
36C2×#102×C139C2211yescharacteristic
37C2×#102×C139C2211yescharacteristic
38C2×C22⋊C8×C139C2211yescharacteristic
39C2×C22⋊C8×C139C2211yescharacteristic
40C2×C4×C8×C139C2211yescharacteristic
41#397×C139—21no—
42#394×C139—21no—
43#391×C139C2211yescharacteristic
44#390×C139—21no—
45#390×C139C2211yescharacteristic
46#389×C139C2211yescharacteristic
47#389×C139C2211yescharacteristic
48#388×C139—21no—
49#386×C139—21no—
50#386×C139—21no—
51#380×C139—21no—
52C4×C4⋊C4×C139C2211yescharacteristic
53C4×C22⋊C4×C139—21no—
54C4×C22⋊C4×C139C2211yescharacteristic
55#340×C139C2211yescharacteristic
56#340×C139C2211yescharacteristic
57#340×C139C2211yescharacteristic
58#340×C139C2211yescharacteristic
59#336×C139C2211yescharacteristic
60#336×C139C2211yescharacteristic
61C22×Q8×C139C2311yescharacteristic
62C22×D4×C139—21no—
63C22×D4×C139—21no—
64C22×D4×C139C2311yescharacteristic
65C22×D4×C139C2311yescharacteristic
66C23×C4×C139—21no—
67C23×C4×C139—21no—
68C23×C4×C139C2311yescharacteristic
69C2×SD16×C139—22no—
70C2×SD16×C139—22no—
71C2×SD16×C139—41no—
72C2×D8×C139—22no—
73C2×D8×C139—22no—
74C2×D8×C139—41no—
75C22×C8×C139C2311yescharacteristic
76C22×C8×C139C2311yescharacteristic
77C22×C8×C139C2311yescharacteristic
78C22×C8×C139C2311yescharacteristic
79#124×C139—22no—
80#124×C139—41no—
81C22⋊Q8×C139—22no—
82C22⋊Q8×C139—41no—
83#121×C139—22no—
84#121×C139—22no—
85#121×C139—22no—
86#121×C139—41no—
87C4×D4×C139—22no—
88C4×D4×C139—22no—
89C4×D4×C139—41no—
90C4×D4×C139—41no—
91#117×C139—22no—
92#117×C139—41no—
93C2×C4⋊C4×C139—21no—
94C2×C4⋊C4×C139—21no—
95C2×C4⋊C4×C139—21no—
96C2×C4⋊C4×C139C2311yescharacteristic
97C2×C4⋊C4×C139C2311yescharacteristic
98C2×C4⋊C4×C139C2311yescharacteristic
99C2×C4⋊C4×C139C2311yescharacteristic
100C2×C4⋊C4×C139C2311yescharacteristic
101C2×C22⋊C4×C139—21no—
102C2×C22⋊C4×C139—21no—
103C2×C22⋊C4×C139—21no—
104C2×C22⋊C4×C139—21no—
105C2×C22⋊C4×C139—21no—
106C2×C22⋊C4×C139—21no—
107C2×C22⋊C4×C139—21no—
108C2×C22⋊C4×C139—21no—
109C2×C22⋊C4×C139—21no—
110C2×C22⋊C4×C139—21no—
111C2×C22⋊C4×C139D411yescharacteristic
112C2×C22⋊C4×C139D411yescharacteristic
113C2×C42×C139—21no—
114C2×C42×C139—21no—
115C2×C42×C139C2311yescharacteristic
116C2×C42×C139C2311yescharacteristic
117#107×C139—22no—
118#106×C139—22no—
119C4⋊C8×C139—22no—
120#103×C139—22no—
121#103×C139—22no—
122#103×C139—41no—
123#102×C139—22no—
124#102×C139—22no—
125#102×C139—22no—
126#102×C139—41no—
127#102×C139D414yescomplemented
128C22⋊C8×C139—22no—
129C22⋊C8×C139—41no—
130C4×C8×C139—41no—
131#95×C139—21no—
132#95×C139—21no—
133#95×C139—21no—
134#95×C139—21no—
135#95×C139—21no—
136#95×C139D411yescharacteristic
137#95×C139D411yescharacteristic
138C24×C139—21no—
139C24×C139—21no—
140C24×C139C2×D411yescharacteristic
141C2×Q8×C139—21no—
142C2×Q8×C139—21no—
143C2×Q8×C139—21no—
144C2×Q8×C139—21no—
145C2×Q8×C139—21no—
146C2×Q8×C139—21no—
147C2×D4×C139—24no—
148C2×D4×C139—21no—
149C2×D4×C139—21no—
150C2×D4×C139—21no—
151C2×D4×C139—21no—
152C2×D4×C139—21no—
153C2×D4×C139—21no—
154C2×D4×C139—21no—
155C2×D4×C139—21no—
156C2×D4×C139—21no—
157C2×D4×C139—21no—
158C2×D4×C139—42no—
159C2×D4×C139—42no—
160C2×D4×C139—81no—
161C2×D4×C139—81no—
162C2×D4×C139—81no—
163C2×D4×C139C2×D412yes—
164C2×D4×C139#4112yes—
165C22×C4×C139—21no—
166C22×C4×C139—21no—
167C22×C4×C139—21no—
168C22×C4×C139—21no—
169C22×C4×C139—21no—
170C22×C4×C139—21no—
171C22×C4×C139—21no—
172C22×C4×C139—21no—
173C22×C4×C139—21no—
174C22×C4×C139—21no—
175C22×C4×C139—21no—
176C22×C4×C139—21no—
177C22×C4×C139—42no—
178C22×C4×C139—42no—
179C22×C4×C139—42no—
180C22×C4×C139—42no—
181C22×C4×C139—81no—
182C22×C4×C139—81no—
183C22×C4×C139C2×D411yescharacteristic
184C22×C4×C139C2×D411yescharacteristic
185C22×C4×C139C2×D411yescharacteristic
186C22×C4×C139C2×D411yescharacteristic
187C22×C4×C139C2×D411yescharacteristic
188C22×C4×C139C2411yescharacteristic
189SD16×C139—44no—
190D8×C139—44no—
191C2×C8×C139—21no—
192C2×C8×C139—21no—
193C2×C8×C139—21no—
194C2×C8×C139—21no—
195C2×C8×C139—21no—
196C2×C8×C139—21no—
197C2×C8×C139—21no—
198C2×C8×C139—21no—
199C2×C8×C139—21no—
200C2×C8×C139—21no—
201C2×C8×C139—21no—
202C2×C8×C139C2×D412yes—
203C4⋊C4×C139—21no—
204C4⋊C4×C139—21no—
205C4⋊C4×C139—21no—
206C4⋊C4×C139—21no—
207C4⋊C4×C139—21no—
208C4⋊C4×C139—21no—
209C4⋊C4×C139—21no—
210C4⋊C4×C139—42no—
211C4⋊C4×C139—81no—
212C4⋊C4×C139—81no—
213C4⋊C4×C139C2×D412yes—
214C4⋊C4×C139#4112yes—
215C4⋊C4×C139#4112yes—
216C22⋊C4×C139—24no—
217C22⋊C4×C139—22no—
218C22⋊C4×C139—41no—
219C22⋊C4×C139—42no—
220C22⋊C4×C139—42no—
221C22⋊C4×C139—42no—
222C22⋊C4×C139—42no—
223C22⋊C4×C139—42no—
224C22⋊C4×C139—42no—
225C22⋊C4×C139—42no—
226C22⋊C4×C139—42no—
227C22⋊C4×C139—81no—
228C42×C139—21no—
229C42×C139—21no—
230C42×C139—21no—
231C42×C139—21no—
232C42×C139—42no—
233C42×C139—81no—
234C23×C139—22no—
235C23×C139—21no—
236C23×C139—22no—
237C23×C139—21no—
238C23×C139—21no—
239C23×C139—21no—
240C23×C139—21no—
241C23×C139—21no—
242C23×C139—21no—
243C23×C139—41no—
244C23×C139—41no—
245C23×C139—41no—
246C23×C139—41no—
247C23×C139—41no—
248C23×C139—41no—
249C23×C139—41no—
250C23×C139—41no—
251C23×C139—41no—
252C23×C139—41no—
253C23×C139—41no—
254C23×C139—41no—
255C23×C139C22×D411yescharacteristic
256Q8×C139—41no—
257Q8×C139—41no—
258Q8×C139—41no—
259Q8×C139—41no—
260D4×C139—22no—
261D4×C139—22no—
262D4×C139—22no—
263D4×C139—22no—
264D4×C139—41no—
265D4×C139—41no—
266D4×C139—41no—
267D4×C139—41no—
268D4×C139—84no—
269D4×C139—84no—
270C2×C4×C139—21no—
271C2×C4×C139—21no—
272C2×C4×C139—21no—
273C2×C4×C139—22no—
274C2×C4×C139—21no—
275C2×C4×C139—21no—
276C2×C4×C139—21no—
277C2×C4×C139—22no—
278C2×C4×C139—21no—
279C2×C4×C139—22no—
280C2×C4×C139—21no—
281C2×C4×C139—21no—
282C2×C4×C139—21no—
283C2×C4×C139—21no—
284C2×C4×C139—21no—
285C2×C4×C139—21no—
286C2×C4×C139—21no—
287C2×C4×C139—41no—
288C2×C4×C139—41no—
289C2×C4×C139—41no—
290C2×C4×C139—41no—
291C2×C4×C139—41no—
292C2×C4×C139—41no—
293C2×C4×C139—41no—
294C2×C4×C139—41no—
295C2×C4×C139—41no—
296C2×C4×C139—41no—
297C2×C4×C139—41no—
298C2×C4×C139—41no—
299C2×C4×C139—41no—
300C2×C4×C139—41no—
301C2×C4×C139—41no—
302C2×C4×C139—41no—
303C2×C4×C139—41no—
304C2×C4×C139—41no—
305C2×C4×C139—41no—
306C2×C4×C139—84no—
307C2×C4×C139—84no—
308C2×C4×C139#13512yes—
309C2×C4×C139C22×D411yescharacteristic
310C2×C4×C139C2×#4111yescharacteristic
311C2×C4×C139C2×#4111yescharacteristic
312C2×C4×C139C2×#4111yescharacteristic
313C2×C4×C139H(5,𝔽2)11yescharacteristic
314C2×C4×C139H(5,𝔽2)11yescharacteristic
315C8×C139—22no—
316C8×C139—41no—
317C8×C139—41no—
318C8×C139—41no—
319C22×C139—41no—
320C22×C139—42no—
321C22×C139—41no—
322C22×C139—42no—
323C22×C139—41no—
324C22×C139—42no—
325C22×C139—42no—
326C22×C139—41no—
327C22×C139—42no—
328C22×C139—41no—
329C22×C139—42no—
330C22×C139—41no—
331C22×C139—41no—
332C22×C139—81no—
333C22×C139—81no—
334C22×C139—81no—
335C22×C139—81no—
336C22×C139—81no—
337C22×C139—81no—
338C22×C139—81no—
339C22×C139—81no—
340C22×C139#52511yescharacteristic
341C22×C139D4211yescharacteristic
342C22×C139#54611yescharacteristic
343C22×C139C2×#13511yescharacteristic
344C22×C139#57511yescharacteristic
345C22×C139#57611yescharacteristic
346C22×C139#57711yescharacteristic
347C4×C139—22no—
348C4×C139—42no—
349C4×C139—41no—
350C4×C139—41no—
351C4×C139—42no—
352C4×C139—41no—
353C4×C139—42no—
354C4×C139—41no—
355C4×C139—81no—
356C4×C139—81no—
357C4×C139—81no—
358C4×C139#53211yescharacteristic
359C4×C139#54011yescharacteristic
360C4×C139#54611yescharacteristic
361C4×C139#55311yescharacteristic
362C2×C139—81no—
363C2×C139—82no—
364C2×C139—82no—
365C2×C139#246411yescharacteristic
366C2×C139#310211yescharacteristic
367C2×C139#311811yescharacteristic
368C2×C139#327311yescharacteristic
369C2×C139#328411yescharacteristic
370C2×C139#329711yescharacteristic
371C2×C139#332111yescharacteristic
372#26938C13911yesmaximal, characteristic, direct product factor, Sylow
373C139#2693811yescharacteristic, direct product factor, Sylow
374C2×#482C2×C13911yescharacteristic, complemented
375C2×#463C2×C13911yescharacteristic, complemented
376#2427C2×C13911yescharacteristic, complemented
377#2363C2×C13911yescharacteristic, complemented
378#2088C2×C13911yescharacteristic, complemented
379#2042C2×C13911yescharacteristic, complemented
380#2000C2×C13911yescharacteristic, complemented
381#1999C2×C13911yescharacteristic
382#1968C2×C13911yescharacteristic, complemented
383#1928C2×C13911yescharacteristic, complemented
384#1923C2×C13911yescharacteristic, complemented
385#1879C2×C13911yescharacteristic, complemented
386#1873C2×C13911yescharacteristic, complemented
387#1862C2×C13911yescharacteristic, complemented
388C4×#102C2×C13911yescharacteristic, complemented
389C22×SD16C22×C13911yescharacteristic
390C22×D8C22×C13911yescharacteristic
391C2×#124C22×C13911yescharacteristic
392C2×C22⋊Q8C22×C13911yescharacteristic
393C2×#121C22×C13911yescharacteristic
394C2×#121C22×C13911yescharacteristic
395C2×C4×D4C22×C13911yescharacteristic
396C2×C4×D4C22×C13911yescharacteristic
397C2×#117C22×C13911yescharacteristic
398#482—24no—
399#463—24no—
400C2×#107C22×C13911yescharacteristic
401C2×#106C22×C13911yescharacteristic
402C2×C4⋊C8C22×C13911yescharacteristic
403C2×#103C22×C13911yescharacteristic
404C2×#103C22×C13911yescharacteristic
405C2×#103C22×C13911yescharacteristic
406C2×#102C22×C13911yescharacteristic
407C2×#102C22×C13911yescharacteristic
408C2×#102C22×C13911yescharacteristic
409C2×#102C22×C13911yescharacteristic
410C2×#102C22×C13911yescharacteristic
411C2×C22⋊C8C22×C13911yescharacteristic
412C2×C22⋊C8C22×C13911yescharacteristic
413C2×C4×C8C22×C13911yescharacteristic
414#397—21no—
415#394—21no—
416#391C22×C13911yescharacteristic
417#390—21no—
418#390C22×C13911yescharacteristic
419#389C22×C13911yescharacteristic
420#389C22×C13911yescharacteristic
421#388—21no—
422#386—21no—
423#386—21no—
424#380—21no—
425C4×C4⋊C4C22×C13911yescharacteristic
426C4×C22⋊C4—21no—
427C4×C22⋊C4C22×C13911yescharacteristic
428#340C22×C13911yescharacteristic
429#340C22×C13911yescharacteristic
430#340C22×C13911yescharacteristic
431#340C22×C13911yescharacteristic
432#336C22×C13911yescharacteristic
433#336C22×C13911yescharacteristic
434C22×Q8C23×C13911yescharacteristic
435C22×D4—21no—
436C22×D4—21no—
437C22×D4C23×C13911yescharacteristic
438C22×D4C23×C13911yescharacteristic
439C23×C4—21no—
440C23×C4—21no—
441C23×C4C23×C13911yescharacteristic
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16—41no—
445C2×D8—22no—
446C2×D8—22no—
447C2×D8—41no—
448C22×C8C23×C13911yescharacteristic
449C22×C8C23×C13911yescharacteristic
450C22×C8C23×C13911yescharacteristic
451C22×C8C23×C13911yescharacteristic
452#124—22no—
453#124—41no—
454C22⋊Q8—22no—
455C22⋊Q8—41no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—41no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—41no—
463C4×D4—41no—
464#117—22no—
465#117—41no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4C23×C13911yescharacteristic
470C2×C4⋊C4C23×C13911yescharacteristic
471C2×C4⋊C4C23×C13911yescharacteristic
472C2×C4⋊C4C23×C13911yescharacteristic
473C2×C4⋊C4C23×C13911yescharacteristic
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4D4×C13911yescharacteristic
485C2×C22⋊C4D4×C13911yescharacteristic
486C2×C42—21no—
487C2×C42—21no—
488C2×C42C23×C13911yescharacteristic
489C2×C42C23×C13911yescharacteristic
490#107—22no—
491#106—22no—
492C4⋊C8—22no—
493#103—22no—
494#103—22no—
495#103—41no—
496#102—22no—
497#102—22no—
498#102—22no—
499#102—41no—
500#102D4×C13914yescomplemented
501C22⋊C8—22no—
502C22⋊C8—41no—
503C4×C8—41no—
504#95—21no—
505#95—21no—
506#95—21no—
507#95—21no—
508#95—21no—
509#95D4×C13911yescharacteristic
510#95D4×C13911yescharacteristic
511C24—21no—
512C24—21no—
513C24C2×D4×C13911yescharacteristic
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×D4—24no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—42no—
532C2×D4—42no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C13912yes—
537C2×D4#41×C13912yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—81no—
555C22×C4—81no—
556C22×C4C2×D4×C13911yescharacteristic
557C22×C4C2×D4×C13911yescharacteristic
558C22×C4C2×D4×C13911yescharacteristic
559C22×C4C2×D4×C13911yescharacteristic
560C22×C4C2×D4×C13911yescharacteristic
561C22×C4C24×C13911yescharacteristic
562SD16—44no—
563D8—44no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8C2×D4×C13912yes—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—42no—
584C4⋊C4—81no—
585C4⋊C4—81no—
586C4⋊C4C2×D4×C13912yes—
587C4⋊C4#41×C13912yes—
588C4⋊C4#41×C13912yes—
589C22⋊C4—24no—
590C22⋊C4—22no—
591C22⋊C4—41no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—42no—
600C22⋊C4—81no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—42no—
606C42—81no—
607C23—22no—
608C23—21no—
609C23—22no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23C22×D4×C13911yescharacteristic
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—41no—
641D4—84no—
642D4—84no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4#135×C13912yes—
682C2×C4C22×D4×C13911yescharacteristic
683C2×C4C2×#41×C13911yescharacteristic
684C2×C4C2×#41×C13911yescharacteristic
685C2×C4C2×#41×C13911yescharacteristic
686C2×C4H(5,𝔽2)×C13911yescharacteristic
687C2×C4H(5,𝔽2)×C13911yescharacteristic
688C8—22no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—41no—
693C22—42no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—42no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22#525×C13911yescharacteristic
714C22D42×C13911yescharacteristic
715C22#546×C13911yescharacteristic
716C22C2×#135×C13911yescharacteristic
717C22#575×C13911yescharacteristic
718C22#576×C13911yescharacteristic
719C22#577×C13911yescharacteristic
720C4—22no—
721C4—41no—
722C4—42no—
723C4—41no—
724C4—42no—
725C4—41no—
726C4—41no—
727C4—42no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4#532×C13911yescharacteristic
732C4#540×C13911yescharacteristic
733C4#546×C13911yescharacteristic
734C4#553×C13911yescharacteristic
735C2—81no—
736C2—82no—
737C2—82no—
738C2#2464×C13911yescharacteristic
739C2#3102×C13911yescharacteristic
740C2#3118×C13911yescharacteristic
741C2#3273×C13911yescharacteristic
742C2#3284×C13911yescharacteristic
743C2#3297×C13911yescharacteristic
744C2#3321×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radical#1999×C139C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C4×C22⋊C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#482×C139C2semidirect
2. C2×#463×C139C2semidirect
3. #2427×C139C2semidirect
4. #2363×C139C2semidirect
5. #2088×C139C2semidirect
6. #2042×C139C2semidirect
7. #2000×C139C2semidirect
9. #1968×C139C2semidirect
10. #1928×C139C2semidirect
11. #1923×C139C2semidirect
12. #1879×C139C2semidirect
13. #1873×C139C2semidirect
14. #1862×C139C2semidirect
15. C4×#102×C139C2semidirect
127. #102×C139D4semidirect
372. #26938C139direct (N × H)
373. C139#26938direct (N × H)
374. C2×#482C2×C139semidirect
375. C2×#463C2×C139semidirect
376. #2427C2×C139semidirect
377. #2363C2×C139semidirect
378. #2088C2×C139semidirect
379. #2042C2×C139semidirect
380. #2000C2×C139semidirect
382. #1968C2×C139semidirect
383. #1928C2×C139semidirect
384. #1923C2×C139semidirect
385. #1879C2×C139semidirect
386. #1873C2×C139semidirect
387. #1862C2×C139semidirect
388. C4×#102C2×C139semidirect
500. #102D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#482×C1392
C2×#463×C1392
#2427×C1392
#2363×C1392
#2088×C1392
#2042×C1392
#2000×C1392
#1999×C1392
#1968×C1392
#1928×C1392
#1923×C1392
#1879×C1392
#1873×C1392
#1862×C1392
C4×#102×C1392
#26938139