Finite Group Databasebeta

← C139×#23012 #48017608

Subgroups — C139×#23012 #48017608

Order 35584.

982 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#461×C139C211yesmaximal, characteristic
2C2×#440×C139C211yesmaximal, characteristic
3C2×C4×SD16×C139C211yesmaximal, characteristic
4#2365×C139C211yesmaximal, characteristic, complemented
5#2349×C139C211yesmaximal, characteristic
6#1960×C139C211yesmaximal, characteristic, complemented
7#1949×C139C211yesmaximal, characteristic, complemented
8#1935×C139C211yesmaximal, characteristic, complemented
9#1933×C139C211yesmaximal, characteristic, complemented
10#1877×C139C211yesmaximal, characteristic
11#1877×C139C211yesmaximal, characteristic
12#1865×C139C211yesmaximal, characteristic, complemented
13#1863×C139C211yesmaximal, characteristic, complemented
14#1771×C139C211yesmaximal, characteristic, complemented
15#1762×C139C211yesmaximal, characteristic
16C22×SD16×C139C2211yescharacteristic
17C22×SD16×C139C2211yescharacteristic
18C2×C4⋊Q8×C139C2211yescharacteristic
19C2×C4×Q8×C139C2211yescharacteristic
20C2×C4×Q8×C139C2211yescharacteristic
21C2×C4×D4×C139C2211yescharacteristic
22C2×C4×D4×C139C2211yescharacteristic
23C2×C4×D4×C139C2211yescharacteristic
24#461×C139C418yescomplemented
25#440×C139—24no—
26C4×SD16×C139—24no—
27C2×#107×C139C2211yescharacteristic
28C2×#106×C139C2211yescharacteristic
29C2×C4⋊C8×C139C2211yescharacteristic
30C2×#103×C139C2211yescharacteristic
31C2×#103×C139C2211yescharacteristic
32C2×#103×C139C2211yescharacteristic
33C2×#103×C139C2211yescharacteristic
34C2×#103×C139C2211yescharacteristic
35C2×#103×C139C2211yescharacteristic
36C2×#102×C139C2211yescharacteristic
37C2×#102×C139C2211yescharacteristic
38C2×#97×C139C2211yescharacteristic
39C2×#97×C139C2211yescharacteristic
40C2×C4×C8×C139C2211yescharacteristic
41#391×C139C2211yescharacteristic
42#391×C139C2211yescharacteristic
43#389×C139—21no—
44#389×C139C2211yescharacteristic
45#389×C139C2211yescharacteristic
46#387×C139—21no—
47#387×C139—21no—
48#385×C139—21no—
49#385×C139—21no—
50#382×C139C2211yescharacteristic
51#380×C139—21no—
52C4×C4⋊C4×C139—21no—
53C4×C4⋊C4×C139C2211yescharacteristic
54C4×C4⋊C4×C139C2211yescharacteristic
55C2×#95×C139—21no—
56#340×C139C2211yescharacteristic
57#340×C139C2211yescharacteristic
58#340×C139C2211yescharacteristic
59#340×C139C2211yescharacteristic
60#336×C139C2211yescharacteristic
61#336×C139C2211yescharacteristic
62C22×Q8×C139C2311yescharacteristic
63C22×Q8×C139C2311yescharacteristic
64C22×D4×C139C2311yescharacteristic
65C23×C4×C139—21no—
66C23×C4×C139—21no—
67C23×C4×C139—21no—
68C2×SD16×C139—22no—
69C2×SD16×C139—22no—
70C2×SD16×C139—22no—
71C2×SD16×C139—22no—
72C2×SD16×C139C2×C414yes—
73C2×SD16×C139C2×C414yes—
74C22×C8×C139C2311yescharacteristic
75C22×C8×C139C2311yescharacteristic
76C22×C8×C139C2311yescharacteristic
77C22×C8×C139C2311yescharacteristic
78C4⋊Q8×C139—22no—
79C4⋊Q8×C139C2×C414yescomplemented
80C4×Q8×C139—22no—
81C4×Q8×C139—22no—
82C4×Q8×C139—41no—
83C4×Q8×C139—41no—
84C4×D4×C139—22no—
85C4×D4×C139—22no—
86C4×D4×C139—22no—
87C4×D4×C139—41no—
88C4×D4×C139—41no—
89C4×D4×C139C2×C414yes—
90C2×C4⋊C4×C139—21no—
91C2×C4⋊C4×C139—21no—
92C2×C4⋊C4×C139—21no—
93C2×C4⋊C4×C139—21no—
94C2×C4⋊C4×C139—21no—
95C2×C4⋊C4×C139—21no—
96C2×C4⋊C4×C139D411yescharacteristic
97C2×C4⋊C4×C139D411yescharacteristic
98C2×C4⋊C4×C139C2311yescharacteristic
99C2×C4⋊C4×C139C2311yescharacteristic
100C2×C4⋊C4×C139C2311yescharacteristic
101C2×C4⋊C4×C139C2311yescharacteristic
102C2×C4⋊C4×C139C2311yescharacteristic
103C2×C22⋊C4×C139—21no—
104C2×C22⋊C4×C139—21no—
105C2×C22⋊C4×C139—21no—
106C2×C42×C139—21no—
107C2×C42×C139—21no—
108C2×C42×C139—21no—
109C2×C42×C139C2311yescharacteristic
110C2×C42×C139C2311yescharacteristic
111C2×C42×C139C2311yescharacteristic
112#107×C139—22no—
113#106×C139—22no—
114C4⋊C8×C139C2×C414yescomplemented
115#103×C139—22no—
116#103×C139—22no—
117#103×C139—41no—
118#103×C139—41no—
119#103×C139C2×C414yescomplemented
120#103×C139C2×C414yescomplemented
121#102×C139—22no—
122#102×C139D414yes—
123#97×C139—22no—
124#97×C139—22no—
125C4×C8×C139—22no—
126#95×C139—21no—
127#95×C139—21no—
128#95×C139—21no—
129#95×C139—21no—
130#95×C139—21no—
131#95×C139—21no—
132#95×C139—21no—
133#95×C139—21no—
134#95×C139—21no—
135#95×C139D411yescharacteristic
136#95×C139D411yescharacteristic
137C24×C139—21no—
138C2×Q8×C139—21no—
139C2×Q8×C139—21no—
140C2×Q8×C139—21no—
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×Q8×C139—21no—
148C2×Q8×C139C22×C412yes—
149C2×Q8×C139C22×C412yes—
150C2×D4×C139—21no—
151C2×D4×C139—21no—
152C2×D4×C139—21no—
153C2×D4×C139C22×C412yes—
154C2×D4×C139C2×D412yes—
155C2×D4×C139#4112yes—
156C22×C4×C139—21no—
157C22×C4×C139—21no—
158C22×C4×C139—21no—
159C22×C4×C139—21no—
160C22×C4×C139—24no—
161C22×C4×C139—21no—
162C22×C4×C139—21no—
163C22×C4×C139—21no—
164C22×C4×C139—42no—
165C22×C4×C139—42no—
166C22×C4×C139—42no—
167C22×C4×C139—42no—
168C22×C4×C139—81no—
169C22×C4×C139—81no—
170C22×C4×C139—81no—
171C22×C4×C139—81no—
172C22×C4×C139C2×D411yescharacteristic
173C22×C4×C139C2×D411yescharacteristic
174C22×C4×C139C2×D411yescharacteristic
175C22×C4×C139C2×D411yescharacteristic
176C22×C4×C139C2×D411yescharacteristic
177C22×C4×C139C2×D411yescharacteristic
178C22×C4×C139C2411yescharacteristic
179SD16×C139—28no—
180SD16×C139—28no—
181C2×C8×C139—21no—
182C2×C8×C139—21no—
183C2×C8×C139—21no—
184C2×C8×C139—21no—
185C2×C8×C139—21no—
186C2×C8×C139—21no—
187C2×C8×C139—21no—
188C2×C8×C139—21no—
189C2×C8×C139—21no—
190C2×C8×C139C22×C412yes—
191C2×C8×C139C22×C412yes—
192C2×C8×C139C2×D412yes—
193C4⋊C4×C139—24no—
194C4⋊C4×C139—24no—
195C4⋊C4×C139—22no—
196C4⋊C4×C139—21no—
197C4⋊C4×C139—21no—
198C4⋊C4×C139—21no—
199C4⋊C4×C139—21no—
200C4⋊C4×C139—21no—
201C4⋊C4×C139—21no—
202C4⋊C4×C139—21no—
203C4⋊C4×C139—21no—
204C4⋊C4×C139—41no—
205C4⋊C4×C139—42no—
206C4⋊C4×C139—42no—
207C4⋊C4×C139—81no—
208C4⋊C4×C139—81no—
209C4⋊C4×C139C22×C412yes—
210C4⋊C4×C139C2×D412yes—
211C22⋊C4×C139—24no—
212C22⋊C4×C139—42no—
213C22⋊C4×C139—42no—
214C42×C139—21no—
215C42×C139—21no—
216C42×C139—21no—
217C42×C139—21no—
218C42×C139—42no—
219C42×C139—42no—
220C42×C139—42no—
221C42×C139C22×C412yes—
222C42×C139#4112yes—
223C23×C139—22no—
224C23×C139—22no—
225C23×C139—22no—
226C23×C139—41no—
227C23×C139—41no—
228C23×C139—41no—
229C23×C139—41no—
230C23×C139C22×D411yescharacteristic
231Q8×C139—22no—
232Q8×C139—22no—
233Q8×C139—22no—
234Q8×C139—22no—
235Q8×C139—41no—
236Q8×C139—41no—
237Q8×C139—41no—
238Q8×C139—41no—
239D4×C139—22no—
240D4×C139—22no—
241D4×C139—22no—
242D4×C139C4×D414yes—
243C2×C4×C139—21no—
244C2×C4×C139—21no—
245C2×C4×C139—21no—
246C2×C4×C139—21no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—22no—
250C2×C4×C139—22no—
251C2×C4×C139—22no—
252C2×C4×C139—21no—
253C2×C4×C139—21no—
254C2×C4×C139—21no—
255C2×C4×C139—22no—
256C2×C4×C139—21no—
257C2×C4×C139—21no—
258C2×C4×C139—21no—
259C2×C4×C139—21no—
260C2×C4×C139—21no—
261C2×C4×C139—21no—
262C2×C4×C139—41no—
263C2×C4×C139—41no—
264C2×C4×C139—41no—
265C2×C4×C139—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—41no—
269C2×C4×C139—41no—
270C2×C4×C139—41no—
271C2×C4×C139—41no—
272C2×C4×C139—41no—
273C2×C4×C139—41no—
274C2×C4×C139—41no—
275C2×C4×C139—41no—
276C2×C4×C139—41no—
277C2×C4×C139—41no—
278C2×C4×C139—41no—
279C2×C4×C139—84no—
280C2×C4×C139—84no—
281C2×C4×C139—84no—
282C2×C4×C139C4×D412yes—
283C2×C4×C139C4×D412yes—
284C2×C4×C139#13712yes—
285C2×C4×C139C23×C411yescharacteristic
286C2×C4×C139C22×D411yescharacteristic
287C2×C4×C139C2×#4111yescharacteristic
288C2×C4×C139C2×#4111yescharacteristic
289C2×C4×C139H(5,𝔽2)11yescharacteristic
290C2×C4×C1392−1+411yescharacteristic
291C8×C139—22no—
292C8×C139—22no—
293C8×C139—22no—
294C8×C139—41no—
295C22×C139—24no—
296C22×C139—42no—
297C22×C139—42no—
298C22×C139—42no—
299C22×C139—42no—
300C22×C139—42no—
301C22×C139—42no—
302C22×C139C2×C4×D411yescharacteristic
303C22×C139D4211yescharacteristic
304C22×C139#54811yescharacteristic
305C22×C139C2×#13711yescharacteristic
306C22×C139#57511yescharacteristic
307C22×C139#57711yescharacteristic
308C22×C139#57711yescharacteristic
309C4×C139—22no—
310C4×C139—22no—
311C4×C139—22no—
312C4×C139—42no—
313C4×C139—42no—
314C4×C139—42no—
315C4×C139—41no—
316C4×C139—41no—
317C4×C139—41no—
318C4×C139—42no—
319C4×C139—81no—
320C4×C139—81no—
321C4×C139—81no—
322C4×C139C2×C4×D411yescharacteristic
323C4×C139#52011yescharacteristic
324C4×C139#54711yescharacteristic
325C4×C139#55311yescharacteristic
326C2×C139—44no—
327C2×C139#236111yescharacteristic
328C2×C139C4×#13711yescharacteristic
329C2×C139#294911yescharacteristic
330C2×C139#326611yescharacteristic
331C2×C139#326711yescharacteristic
332C2×C139#337211yescharacteristic
333C2×C139#337611yescharacteristic
334#23012C13911yesmaximal, characteristic, direct product factor, Sylow
335C139#2301211yescharacteristic, direct product factor, Sylow
336C2×#461C2×C13911yescharacteristic
337C2×#440C2×C13911yescharacteristic
338C2×C4×SD16C2×C13911yescharacteristic
339#2365C2×C13911yescharacteristic, complemented
340#2349C2×C13911yescharacteristic
341#1960C2×C13911yescharacteristic, complemented
342#1949C2×C13911yescharacteristic, complemented
343#1935C2×C13911yescharacteristic, complemented
344#1933C2×C13911yescharacteristic, complemented
345#1877C2×C13911yescharacteristic
346#1877C2×C13911yescharacteristic
347#1865C2×C13911yescharacteristic, complemented
348#1863C2×C13911yescharacteristic, complemented
349#1771C2×C13911yescharacteristic, complemented
350#1762C2×C13911yescharacteristic
351C22×SD16C22×C13911yescharacteristic
352C22×SD16C22×C13911yescharacteristic
353C2×C4⋊Q8C22×C13911yescharacteristic
354C2×C4×Q8C22×C13911yescharacteristic
355C2×C4×Q8C22×C13911yescharacteristic
356C2×C4×D4C22×C13911yescharacteristic
357C2×C4×D4C22×C13911yescharacteristic
358C2×C4×D4C22×C13911yescharacteristic
359#461C4×C13918yescomplemented
360#440—24no—
361C4×SD16—24no—
362C2×#107C22×C13911yescharacteristic
363C2×#106C22×C13911yescharacteristic
364C2×C4⋊C8C22×C13911yescharacteristic
365C2×#103C22×C13911yescharacteristic
366C2×#103C22×C13911yescharacteristic
367C2×#103C22×C13911yescharacteristic
368C2×#103C22×C13911yescharacteristic
369C2×#103C22×C13911yescharacteristic
370C2×#103C22×C13911yescharacteristic
371C2×#102C22×C13911yescharacteristic
372C2×#102C22×C13911yescharacteristic
373C2×#97C22×C13911yescharacteristic
374C2×#97C22×C13911yescharacteristic
375C2×C4×C8C22×C13911yescharacteristic
376#391C22×C13911yescharacteristic
377#391C22×C13911yescharacteristic
378#389—21no—
379#389C22×C13911yescharacteristic
380#389C22×C13911yescharacteristic
381#387—21no—
382#387—21no—
383#385—21no—
384#385—21no—
385#382C22×C13911yescharacteristic
386#380—21no—
387C4×C4⋊C4—21no—
388C4×C4⋊C4C22×C13911yescharacteristic
389C4×C4⋊C4C22×C13911yescharacteristic
390C2×#95—21no—
391#340C22×C13911yescharacteristic
392#340C22×C13911yescharacteristic
393#340C22×C13911yescharacteristic
394#340C22×C13911yescharacteristic
395#336C22×C13911yescharacteristic
396#336C22×C13911yescharacteristic
397C22×Q8C23×C13911yescharacteristic
398C22×Q8C23×C13911yescharacteristic
399C22×D4C23×C13911yescharacteristic
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16C2×C4×C13914yes—
408C2×SD16C2×C4×C13914yes—
409C22×C8C23×C13911yescharacteristic
410C22×C8C23×C13911yescharacteristic
411C22×C8C23×C13911yescharacteristic
412C22×C8C23×C13911yescharacteristic
413C4⋊Q8—22no—
414C4⋊Q8C2×C4×C13914yescomplemented
415C4×Q8—22no—
416C4×Q8—22no—
417C4×Q8—41no—
418C4×Q8—41no—
419C4×D4—22no—
420C4×D4—22no—
421C4×D4—22no—
422C4×D4—41no—
423C4×D4—41no—
424C4×D4C2×C4×C13914yes—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4D4×C13911yescharacteristic
432C2×C4⋊C4D4×C13911yescharacteristic
433C2×C4⋊C4C23×C13911yescharacteristic
434C2×C4⋊C4C23×C13911yescharacteristic
435C2×C4⋊C4C23×C13911yescharacteristic
436C2×C4⋊C4C23×C13911yescharacteristic
437C2×C4⋊C4C23×C13911yescharacteristic
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C13911yescharacteristic
445C2×C42C23×C13911yescharacteristic
446C2×C42C23×C13911yescharacteristic
447#107—22no—
448#106—22no—
449C4⋊C8C2×C4×C13914yescomplemented
450#103—22no—
451#103—22no—
452#103—41no—
453#103—41no—
454#103C2×C4×C13914yescomplemented
455#103C2×C4×C13914yescomplemented
456#102—22no—
457#102D4×C13914yes—
458#97—22no—
459#97—22no—
460C4×C8—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C13911yescharacteristic
471#95D4×C13911yescharacteristic
472C24—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8C22×C4×C13912yes—
484C2×Q8C22×C4×C13912yes—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4C22×C4×C13912yes—
489C2×D4C2×D4×C13912yes—
490C2×D4#41×C13912yes—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—24no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4C2×D4×C13911yescharacteristic
508C22×C4C2×D4×C13911yescharacteristic
509C22×C4C2×D4×C13911yescharacteristic
510C22×C4C2×D4×C13911yescharacteristic
511C22×C4C2×D4×C13911yescharacteristic
512C22×C4C2×D4×C13911yescharacteristic
513C22×C4C24×C13911yescharacteristic
514SD16—28no—
515SD16—28no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8C22×C4×C13912yes—
526C2×C8C22×C4×C13912yes—
527C2×C8C2×D4×C13912yes—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—41no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4C22×C4×C13912yes—
545C4⋊C4C2×D4×C13912yes—
546C22⋊C4—24no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42—42no—
555C42—42no—
556C42C22×C4×C13912yes—
557C42#41×C13912yes—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23C22×D4×C13911yescharacteristic
566Q8—22no—
567Q8—22no—
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4C4×D4×C13914yes—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4—84no—
616C2×C4—84no—
617C2×C4C4×D4×C13912yes—
618C2×C4C4×D4×C13912yes—
619C2×C4#137×C13912yes—
620C2×C4C23×C4×C13911yescharacteristic
621C2×C4C22×D4×C13911yescharacteristic
622C2×C4C2×#41×C13911yescharacteristic
623C2×C4C2×#41×C13911yescharacteristic
624C2×C4H(5,𝔽2)×C13911yescharacteristic
625C2×C42−1+4×C13911yescharacteristic
626C8—22no—
627C8—22no—
628C8—22no—
629C8—41no—
630C22—24no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22C2×C4×D4×C13911yescharacteristic
638C22D42×C13911yescharacteristic
639C22#548×C13911yescharacteristic
640C22C2×#137×C13911yescharacteristic
641C22#575×C13911yescharacteristic
642C22#577×C13911yescharacteristic
643C22#577×C13911yescharacteristic
644C4—22no—
645C4—22no—
646C4—22no—
647C4—42no—
648C4—42no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4C2×C4×D4×C13911yescharacteristic
658C4#520×C13911yescharacteristic
659C4#547×C13911yescharacteristic
660C4#553×C13911yescharacteristic
661C2—44no—
662C2#2361×C13911yescharacteristic
663C2C4×#137×C13911yescharacteristic
664C2#2949×C13911yescharacteristic
665C2#3266×C13911yescharacteristic
666C2#3267×C13911yescharacteristic
667C2#3372×C13911yescharacteristic
668C2#3376×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutatorC2×C4C23×C4×C139
Frattini, cosocleC22×C4C24×C139
prime radicalC22×D4×C139C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C4×C4⋊C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
4. #2365×C139C2semidirect
6. #1960×C139C2semidirect
7. #1949×C139C2semidirect
8. #1935×C139C2semidirect
9. #1933×C139C2semidirect
12. #1865×C139C2semidirect
13. #1863×C139C2semidirect
14. #1771×C139C2semidirect
24. #461×C139C4semidirect
79. C4⋊Q8×C139C2×C4semidirect
114. C4⋊C8×C139C2×C4semidirect
119. #103×C139C2×C4semidirect
120. #103×C139C2×C4semidirect
334. #23012C139direct (N × H)
335. C139#23012direct (N × H)
339. #2365C2×C139semidirect
341. #1960C2×C139semidirect
342. #1949C2×C139semidirect
343. #1935C2×C139semidirect
344. #1933C2×C139semidirect
347. #1865C2×C139semidirect
348. #1863C2×C139semidirect
349. #1771C2×C139semidirect
359. #461C4×C139semidirect
414. C4⋊Q8C2×C4×C139semidirect
449. C4⋊C8C2×C4×C139semidirect
454. #103C2×C4×C139semidirect
455. #103C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#461×C1392
C2×#440×C1392
C2×C4×SD16×C1392
#2365×C1392
#2349×C1392
#1960×C1392
#1949×C1392
#1935×C1392
#1933×C1392
#1877×C1392
#1865×C1392
#1863×C1392
#1771×C1392
#1762×C1392
#23012139