Finite Group Databasebeta

← C139×#18262 #48012858

Subgroups — C139×#18262 #48012858

Order 35584.

1012 conjugacy classes of subgroups.

The subgroup lattice has 956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3534×C139C211yesmaximal, characteristic
2#3094×C139C211yesmaximal, characteristic, complemented
3#3091×C139C211yesmaximal, characteristic, complemented
4#2498×C139C211yesmaximal, characteristic, complemented
5#1618×C139C211yesmaximal, characteristic, complemented
6#1616×C139C211yesmaximal, characteristic, complemented
7#1615×C139C211yesmaximal, characteristic, complemented
8#1613×C139C211yesmaximal, characteristic, complemented
9#1612×C139C211yesmaximal, characteristic, complemented
10#1610×C139C211yesmaximal, characteristic, complemented
11#1609×C139C211yesmaximal, characteristic, complemented
12#1607×C139C211yesmaximal, characteristic, complemented
13#1504×C139C211yesmaximal, characteristic, complemented
14C2×#327×C139C211yesmaximal, characteristic, complemented
15#1468×C139C211yesmaximal, characteristic, complemented
16#562×C139—21no—
17#560×C139—21no—
18#553×C139—21no—
19#551×C139—21no—
20#546×C139—21no—
21#546×C139—21no—
22#546×C139—21no—
23D42×C139—21no—
24#540×C139—21no—
25#539×C139—21no—
26#539×C139C2211yescharacteristic
27#538×C139—21no—
28#538×C139C2211yescharacteristic
29#537×C139C2211yescharacteristic
30#534×C139—21no—
31#534×C139C2211yescharacteristic
32#525×C139C2211yescharacteristic
33C2×#123×C139C2211yescharacteristic
34C2×#121×C139C2211yescharacteristic
35C2×#117×C139C2211yescharacteristic, complemented
36#485×C139—21no—
37#484×C139C2211yescharacteristic, complemented
38#483×C139C2211yescharacteristic, complemented
39#482×C139—21no—
40#482×C139—21no—
41#482×C139—21no—
42#481×C139C2211yescharacteristic
43#481×C139C2211yescharacteristic, complemented
44#481×C139C2211yescharacteristic, complemented
45#480×C139C2211yescharacteristic
46#480×C139C2211yescharacteristic, complemented
47#480×C139C2211yescharacteristic, complemented
48#428×C139—21no—
49#427×C139—21no—
50#418×C139—21no—
51#416×C139—21no—
52#407×C139C2211yescharacteristic, complemented
53C2×C22⋊C8×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#399×C139C2211yescharacteristic, complemented
56#398×C139C2211yescharacteristic, complemented
57#397×C139C2211yescharacteristic, complemented
58#388×C139—21no—
59#387×C139—21no—
60#386×C139—21no—
61#380×C139—21no—
62C2×#95×C139C2211yescharacteristic, complemented
63#328×C139C2211yescharacteristic, complemented
64#328×C139C2211yescharacteristic, complemented
65#327×C139C2211yescharacteristic
66#327×C139C2211yescharacteristic
67#327×C139C2211yescharacteristic, complemented
68#327×C139C2211yescharacteristic, complemented
69#327×C139C2211yescharacteristic, complemented
70#327×C139C2211yescharacteristic, complemented
71#324×C139C2211yescharacteristic, complemented
72#324×C139C2211yescharacteristic, complemented
73#323×C139C2211yescharacteristic, complemented
74#323×C139C2211yescharacteristic, complemented
75C2×#41×C139—21no—
76C2×#41×C139D411yescharacteristic
77C22×D4×C139—21no—
78C22×D4×C139—21no—
79C22×D4×C139—21no—
80C22×D4×C139D411yescharacteristic
81C22×D4×C139D411yescharacteristic
82C23×C4×C139—21no—
83C23×C4×C139C2311yescharacteristic
84C2×M16×C139—21no—
85C22×C8×C139—21no—
86#127×C139—21no—
87#126×C139—21no—
88#126×C139—21no—
89#126×C139—21no—
90#126×C139—21no—
91#125×C139—21no—
92#125×C139—21no—
93#124×C139—21no—
94#124×C139—21no—
95#124×C139—21no—
96#123×C139—21no—
97#123×C139—21no—
98#123×C139—21no—
99#123×C139—21no—
100#123×C139—21no—
101#123×C139—21no—
102#123×C139—21no—
103#123×C139—21no—
104#123×C139—21no—
105#123×C139—21no—
106#123×C139—21no—
107#123×C139—21no—
108#123×C139—21no—
109#123×C139—21no—
110C22⋊Q8×C139—21no—
111C22⋊Q8×C139—21no—
112C22⋊Q8×C139—21no—
113C22⋊Q8×C139—21no—
114C22⋊Q8×C139—21no—
115C22⋊Q8×C139D411yescharacteristic
116C22⋊Q8×C139C2311yescharacteristic
117#121×C139—21no—
118#121×C139—21no—
119#121×C139—21no—
120#121×C139—21no—
121#121×C139—21no—
122#121×C139—21no—
123#121×C139—21no—
124#121×C139—21no—
125#121×C139—21no—
126#121×C139—21no—
127#121×C139—21no—
128#121×C139—21no—
129#121×C139—21no—
130#121×C139—21no—
131#121×C139—21no—
132#121×C139D411yescharacteristic
133#121×C139D411yescharacteristic
134#121×C139D411yescharacteristic
135#121×C139C2311yescharacteristic
136#121×C139C2311yescharacteristic
137#121×C139C2311yescharacteristic
138#120×C139—21no—
139#120×C139—21no—
140#120×C139—21no—
141#120×C139—21no—
142#120×C139—21no—
143#120×C139—21no—
144#120×C139—21no—
145#120×C139—21no—
146C4×D4×C139—21no—
147C4×D4×C139—21no—
148C4×D4×C139—21no—
149C4×D4×C139—21no—
150C4×D4×C139—21no—
151C4×D4×C139—21no—
152C4×D4×C139—21no—
153C4×D4×C139—21no—
154#117×C139—21no—
155#117×C139—21no—
156#117×C139—21no—
157#117×C139—21no—
158#117×C139—21no—
159#117×C139D411yescharacteristic
160C2×C4⋊C4×C139—21no—
161C2×C4⋊C4×C139—21no—
162C2×C4⋊C4×C139D411yescharacteristic
163C2×C4⋊C4×C139D411yescharacteristic
164C2×C4⋊C4×C139C2311yescharacteristic
165C2×C4⋊C4×C139C2311yescharacteristic
166C2×C4⋊C4×C139C2311yescharacteristic
167C2×C22⋊C4×C139—21no—
168C2×C22⋊C4×C139—21no—
169C2×C22⋊C4×C139—21no—
170C2×C22⋊C4×C139—21no—
171C2×C22⋊C4×C139—21no—
172C2×C22⋊C4×C139—21no—
173C2×C22⋊C4×C139D411yescharacteristic
174C2×C22⋊C4×C139D411yescharacteristic
175C2×C22⋊C4×C139C2311yescharacteristic
176C2×C42×C139—21no—
177#107×C139—21no—
178#107×C139—21no—
179#107×C139—21no—
180#107×C139—21no—
181#106×C139—21no—
182#106×C139—21no—
183#106×C139—21no—
184#106×C139—21no—
185#103×C139—21no—
186#103×C139—21no—
187#102×C139—21no—
188#102×C139—21no—
189#102×C139—21no—
190#102×C139—21no—
191#102×C139—21no—
192#102×C139—21no—
193C22⋊C8×C139—21no—
194C22⋊C8×C139—21no—
195C22⋊C8×C139C2311yescharacteristic
196C22⋊C8×C139C2311yescharacteristic
197C22⋊C8×C139C2311yescharacteristic
198C22⋊C8×C139C2311yescharacteristic
199#95×C139—21no—
200#95×C139—21no—
201#95×C139—21no—
202#95×C139—21no—
203#95×C139—21no—
204#95×C139C2311yescharacteristic
205#95×C139C2311yescharacteristic
206C24×C139—21no—
207C24×C139—21no—
208C24×C139C2×D411yescharacteristic
209C24×C139C2×D411yescharacteristic
210#41×C139—42no—
211#41×C139—81no—
212#41×C139—81no—
213C2×Q8×C139—21no—
214C2×Q8×C139C2×D411yescharacteristic
215C2×D4×C139—21no—
216C2×D4×C139—21no—
217C2×D4×C139—21no—
218C2×D4×C139—21no—
219C2×D4×C139—21no—
220C2×D4×C139—21no—
221C2×D4×C139—21no—
222C2×D4×C139—21no—
223C2×D4×C139—21no—
224C2×D4×C139—21no—
225C2×D4×C139—21no—
226C2×D4×C139—21no—
227C2×D4×C139—21no—
228C2×D4×C139—21no—
229C2×D4×C139—21no—
230C2×D4×C139—21no—
231C2×D4×C139—21no—
232C2×D4×C139—42no—
233C2×D4×C139—42no—
234C2×D4×C139—81no—
235C2×D4×C139—81no—
236C2×D4×C139—81no—
237C2×D4×C139—81no—
238C2×D4×C139—82no—
239C2×D4×C139C2×D411yescharacteristic
240C2×D4×C139C2×D411yescharacteristic
241C2×D4×C139C2×D411yescharacteristic
242C22×C4×C139—21no—
243C22×C4×C139—21no—
244C22×C4×C139—21no—
245C22×C4×C139—21no—
246C22×C4×C139—21no—
247C22×C4×C139—21no—
248C22×C4×C139—21no—
249C22×C4×C139—21no—
250C22×C4×C139—21no—
251C22×C4×C139—21no—
252C22×C4×C139—21no—
253C22×C4×C139—42no—
254C22×C4×C139—42no—
255C22×C4×C139—42no—
256C22×C4×C139—81no—
257C22×C4×C139C2×D411yescharacteristic
258C22×C4×C139C2×D411yescharacteristic
259C22×C4×C139C2×D411yescharacteristic
260C22×C4×C139C2×D411yescharacteristic
261C22×C4×C139C2×D411yescharacteristic
262C22×C4×C139C2×D411yescharacteristic
263C22×C4×C139C2×D411yescharacteristic
264C22×C4×C139C2×D411yescharacteristic
265C22×C4×C139C2411yescharacteristic
266M16×C139—42no—
267C2×C8×C139—21no—
268C2×C8×C139—21no—
269C2×C8×C139—21no—
270C2×C8×C139—21no—
271C2×C8×C139—42no—
272C4⋊C4×C139—21no—
273C4⋊C4×C139—21no—
274C4⋊C4×C139—21no—
275C4⋊C4×C139—21no—
276C4⋊C4×C139—21no—
277C4⋊C4×C139—21no—
278C4⋊C4×C139—21no—
279C4⋊C4×C139—21no—
280C4⋊C4×C139—21no—
281C4⋊C4×C139—21no—
282C4⋊C4×C139—21no—
283C4⋊C4×C139—21no—
284C4⋊C4×C139—21no—
285C4⋊C4×C139—21no—
286C4⋊C4×C139—21no—
287C4⋊C4×C139—21no—
288C4⋊C4×C139—21no—
289C4⋊C4×C139—42no—
290C4⋊C4×C139—81no—
291C4⋊C4×C139C2×D411yescharacteristic
292C4⋊C4×C139C2×D411yescharacteristic
293C4⋊C4×C139C2×D411yescharacteristic
294C4⋊C4×C139C2×D411yescharacteristic
295C22⋊C4×C139—21no—
296C22⋊C4×C139—21no—
297C22⋊C4×C139—21no—
298C22⋊C4×C139—21no—
299C22⋊C4×C139—21no—
300C22⋊C4×C139—21no—
301C22⋊C4×C139—21no—
302C22⋊C4×C139—21no—
303C22⋊C4×C139—21no—
304C22⋊C4×C139—21no—
305C22⋊C4×C139—21no—
306C22⋊C4×C139—21no—
307C22⋊C4×C139—21no—
308C22⋊C4×C139—21no—
309C22⋊C4×C139—21no—
310C22⋊C4×C139—21no—
311C22⋊C4×C139—21no—
312C22⋊C4×C139—21no—
313C22⋊C4×C139—21no—
314C22⋊C4×C139—21no—
315C22⋊C4×C139—21no—
316C22⋊C4×C139—21no—
317C22⋊C4×C139—21no—
318C22⋊C4×C139—21no—
319C22⋊C4×C139—21no—
320C22⋊C4×C139—42no—
321C22⋊C4×C139—41no—
322C22⋊C4×C139—41no—
323C22⋊C4×C139—81no—
324C42×C139—21no—
325C42×C139—21no—
326C42×C139—21no—
327C42×C139—41no—
328C42×C139—41no—
329C23×C139—21no—
330C23×C139—21no—
331C23×C139—22no—
332C23×C139—21no—
333C23×C139—21no—
334C23×C139—21no—
335C23×C139—21no—
336C23×C139—21no—
337C23×C139—21no—
338C23×C139—41no—
339C23×C139—41no—
340C23×C139—41no—
341C23×C139—42no—
342C23×C139—81no—
343C23×C139—81no—
344C23×C139—81no—
345C23×C139—81no—
346C23×C139—81no—
347C23×C139#12011yescharacteristic
348C23×C139#12011yescharacteristic
349C23×C139C22×D411yescharacteristic
350Q8×C139—41no—
351Q8×C139—81no—
352D4×C139—41no—
353D4×C139—41no—
354D4×C139—41no—
355D4×C139—41no—
356D4×C139—41no—
357D4×C139—41no—
358D4×C139—41no—
359D4×C139—41no—
360D4×C139—41no—
361D4×C139—42no—
362D4×C139—42no—
363D4×C139—81no—
364D4×C139—81no—
365D4×C139—81no—
366D4×C139—81no—
367D4×C139—81no—
368D4×C139—81no—
369D4×C139—81no—
370D4×C139—81no—
371D4×C139—81no—
372D4×C139—81no—
373D4×C139—81no—
374D4×C139—81no—
375C2×C4×C139—22no—
376C2×C4×C139—22no—
377C2×C4×C139—22no—
378C2×C4×C139—21no—
379C2×C4×C139—21no—
380C2×C4×C139—21no—
381C2×C4×C139—21no—
382C2×C4×C139—21no—
383C2×C4×C139—21no—
384C2×C4×C139—21no—
385C2×C4×C139—21no—
386C2×C4×C139—21no—
387C2×C4×C139—21no—
388C2×C4×C139—41no—
389C2×C4×C139—41no—
390C2×C4×C139—41no—
391C2×C4×C139—41no—
392C2×C4×C139—41no—
393C2×C4×C139—41no—
394C2×C4×C139—41no—
395C2×C4×C139—41no—
396C2×C4×C139—41no—
397C2×C4×C139—41no—
398C2×C4×C139—41no—
399C2×C4×C139—41no—
400C2×C4×C139—41no—
401C2×C4×C139—41no—
402C2×C4×C139—41no—
403C2×C4×C139—41no—
404C2×C4×C139—41no—
405C2×C4×C139—81no—
406C2×C4×C139—81no—
407C2×C4×C139—81no—
408C2×C4×C139—81no—
409C2×C4×C139—81no—
410C2×C4×C139—81no—
411C2×C4×C139—81no—
412C2×C4×C139—84no—
413C2×C4×C139#12011yescharacteristic
414C2×C4×C139#12011yescharacteristic
415C2×C4×C139C22×D411yescharacteristic
416C2×C4×C139C22×D411yescharacteristic
417C8×C139—41no—
418C8×C139—41no—
419C8×C139—41no—
420C8×C139—41no—
421C22×C139—21no—
422C22×C139—21no—
423C22×C139—21no—
424C22×C139—21no—
425C22×C139—21no—
426C22×C139—21no—
427C22×C139—21no—
428C22×C139—42no—
429C22×C139—42no—
430C22×C139—41no—
431C22×C139—41no—
432C22×C139—41no—
433C22×C139—41no—
434C22×C139—41no—
435C22×C139—41no—
436C22×C139—41no—
437C22×C139—41no—
438C22×C139—41no—
439C22×C139—41no—
440C22×C139—41no—
441C22×C139—41no—
442C22×C139—81no—
443C22×C139—81no—
444C22×C139—162no—
445C22×C139—162no—
446C22×C139#45812yes—
447C22×C139C2×#12011yescharacteristic
448C22×C139#57611yescharacteristic
449C22×C139#57711yescharacteristic
450C4×C139—21no—
451C4×C139—21no—
452C4×C139—21no—
453C4×C139—21no—
454C4×C139—42no—
455C4×C139—41no—
456C4×C139—41no—
457C4×C139—41no—
458C4×C139—41no—
459C4×C139—41no—
460C4×C139—41no—
461C4×C139—41no—
462C4×C139—41no—
463C4×C139—81no—
464C4×C139—81no—
465C4×C139—81no—
466C2×C139—21no—
467C2×C139—21no—
468C2×C139—22no—
469C2×C139—41no—
470C2×C139—81no—
471C2×C139—81no—
472C2×C139—81no—
473C2×C139—81no—
474C2×C139#301211yescharacteristic
475C2×C139#301811yescharacteristic
476C2×C139C2×#45811yescharacteristic
477#18262C13911yesmaximal, characteristic, direct product factor, Sylow
478C139#1826211yescharacteristic, direct product factor, Sylow
479#3534C2×C13911yescharacteristic
480#3094C2×C13911yescharacteristic, complemented
481#3091C2×C13911yescharacteristic, complemented
482#2498C2×C13911yescharacteristic, complemented
483#1618C2×C13911yescharacteristic, complemented
484#1616C2×C13911yescharacteristic, complemented
485#1615C2×C13911yescharacteristic, complemented
486#1613C2×C13911yescharacteristic, complemented
487#1612C2×C13911yescharacteristic, complemented
488#1610C2×C13911yescharacteristic, complemented
489#1609C2×C13911yescharacteristic, complemented
490#1607C2×C13911yescharacteristic, complemented
491#1504C2×C13911yescharacteristic, complemented
492C2×#327C2×C13911yescharacteristic, complemented
493#1468C2×C13911yescharacteristic, complemented
494#562—21no—
495#560—21no—
496#553—21no—
497#551—21no—
498#546—21no—
499#546—21no—
500#546—21no—
501D42—21no—
502#540—21no—
503#539—21no—
504#539C22×C13911yescharacteristic
505#538—21no—
506#538C22×C13911yescharacteristic
507#537C22×C13911yescharacteristic
508#534—21no—
509#534C22×C13911yescharacteristic
510#525C22×C13911yescharacteristic
511C2×#123C22×C13911yescharacteristic
512C2×#121C22×C13911yescharacteristic
513C2×#117C22×C13911yescharacteristic, complemented
514#485—21no—
515#484C22×C13911yescharacteristic, complemented
516#483C22×C13911yescharacteristic, complemented
517#482—21no—
518#482—21no—
519#482—21no—
520#481C22×C13911yescharacteristic
521#481C22×C13911yescharacteristic, complemented
522#481C22×C13911yescharacteristic, complemented
523#480C22×C13911yescharacteristic
524#480C22×C13911yescharacteristic, complemented
525#480C22×C13911yescharacteristic, complemented
526#428—21no—
527#427—21no—
528#418—21no—
529#416—21no—
530#407C22×C13911yescharacteristic, complemented
531C2×C22⋊C8C22×C13911yescharacteristic, complemented
532#400C22×C13911yescharacteristic, complemented
533#399C22×C13911yescharacteristic, complemented
534#398C22×C13911yescharacteristic, complemented
535#397C22×C13911yescharacteristic, complemented
536#388—21no—
537#387—21no—
538#386—21no—
539#380—21no—
540C2×#95C22×C13911yescharacteristic, complemented
541#328C22×C13911yescharacteristic, complemented
542#328C22×C13911yescharacteristic, complemented
543#327C22×C13911yescharacteristic
544#327C22×C13911yescharacteristic
545#327C22×C13911yescharacteristic, complemented
546#327C22×C13911yescharacteristic, complemented
547#327C22×C13911yescharacteristic, complemented
548#327C22×C13911yescharacteristic, complemented
549#324C22×C13911yescharacteristic, complemented
550#324C22×C13911yescharacteristic, complemented
551#323C22×C13911yescharacteristic, complemented
552#323C22×C13911yescharacteristic, complemented
553C2×#41—21no—
554C2×#41D4×C13911yescharacteristic
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4D4×C13911yescharacteristic
559C22×D4D4×C13911yescharacteristic
560C23×C4—21no—
561C23×C4C23×C13911yescharacteristic
562C2×M16—21no—
563C22×C8—21no—
564#127—21no—
565#126—21no—
566#126—21no—
567#126—21no—
568#126—21no—
569#125—21no—
570#125—21no—
571#124—21no—
572#124—21no—
573#124—21no—
574#123—21no—
575#123—21no—
576#123—21no—
577#123—21no—
578#123—21no—
579#123—21no—
580#123—21no—
581#123—21no—
582#123—21no—
583#123—21no—
584#123—21no—
585#123—21no—
586#123—21no—
587#123—21no—
588C22⋊Q8—21no—
589C22⋊Q8—21no—
590C22⋊Q8—21no—
591C22⋊Q8—21no—
592C22⋊Q8—21no—
593C22⋊Q8D4×C13911yescharacteristic
594C22⋊Q8C23×C13911yescharacteristic
595#121—21no—
596#121—21no—
597#121—21no—
598#121—21no—
599#121—21no—
600#121—21no—
601#121—21no—
602#121—21no—
603#121—21no—
604#121—21no—
605#121—21no—
606#121—21no—
607#121—21no—
608#121—21no—
609#121—21no—
610#121D4×C13911yescharacteristic
611#121D4×C13911yescharacteristic
612#121D4×C13911yescharacteristic
613#121C23×C13911yescharacteristic
614#121C23×C13911yescharacteristic
615#121C23×C13911yescharacteristic
616#120—21no—
617#120—21no—
618#120—21no—
619#120—21no—
620#120—21no—
621#120—21no—
622#120—21no—
623#120—21no—
624C4×D4—21no—
625C4×D4—21no—
626C4×D4—21no—
627C4×D4—21no—
628C4×D4—21no—
629C4×D4—21no—
630C4×D4—21no—
631C4×D4—21no—
632#117—21no—
633#117—21no—
634#117—21no—
635#117—21no—
636#117—21no—
637#117D4×C13911yescharacteristic
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4D4×C13911yescharacteristic
641C2×C4⋊C4D4×C13911yescharacteristic
642C2×C4⋊C4C23×C13911yescharacteristic
643C2×C4⋊C4C23×C13911yescharacteristic
644C2×C4⋊C4C23×C13911yescharacteristic
645C2×C22⋊C4—21no—
646C2×C22⋊C4—21no—
647C2×C22⋊C4—21no—
648C2×C22⋊C4—21no—
649C2×C22⋊C4—21no—
650C2×C22⋊C4—21no—
651C2×C22⋊C4D4×C13911yescharacteristic
652C2×C22⋊C4D4×C13911yescharacteristic
653C2×C22⋊C4C23×C13911yescharacteristic
654C2×C42—21no—
655#107—21no—
656#107—21no—
657#107—21no—
658#107—21no—
659#106—21no—
660#106—21no—
661#106—21no—
662#106—21no—
663#103—21no—
664#103—21no—
665#102—21no—
666#102—21no—
667#102—21no—
668#102—21no—
669#102—21no—
670#102—21no—
671C22⋊C8—21no—
672C22⋊C8—21no—
673C22⋊C8C23×C13911yescharacteristic
674C22⋊C8C23×C13911yescharacteristic
675C22⋊C8C23×C13911yescharacteristic
676C22⋊C8C23×C13911yescharacteristic
677#95—21no—
678#95—21no—
679#95—21no—
680#95—21no—
681#95—21no—
682#95C23×C13911yescharacteristic
683#95C23×C13911yescharacteristic
684C24—21no—
685C24—21no—
686C24C2×D4×C13911yescharacteristic
687C24C2×D4×C13911yescharacteristic
688#41—42no—
689#41—81no—
690#41—81no—
691C2×Q8—21no—
692C2×Q8C2×D4×C13911yescharacteristic
693C2×D4—21no—
694C2×D4—21no—
695C2×D4—21no—
696C2×D4—21no—
697C2×D4—21no—
698C2×D4—21no—
699C2×D4—21no—
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—42no—
711C2×D4—42no—
712C2×D4—81no—
713C2×D4—81no—
714C2×D4—81no—
715C2×D4—81no—
716C2×D4—82no—
717C2×D4C2×D4×C13911yescharacteristic
718C2×D4C2×D4×C13911yescharacteristic
719C2×D4C2×D4×C13911yescharacteristic
720C22×C4—21no—
721C22×C4—21no—
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—21no—
728C22×C4—21no—
729C22×C4—21no—
730C22×C4—21no—
731C22×C4—42no—
732C22×C4—42no—
733C22×C4—42no—
734C22×C4—81no—
735C22×C4C2×D4×C13911yescharacteristic
736C22×C4C2×D4×C13911yescharacteristic
737C22×C4C2×D4×C13911yescharacteristic
738C22×C4C2×D4×C13911yescharacteristic
739C22×C4C2×D4×C13911yescharacteristic
740C22×C4C2×D4×C13911yescharacteristic
741C22×C4C2×D4×C13911yescharacteristic
742C22×C4C2×D4×C13911yescharacteristic
743C22×C4C24×C13911yescharacteristic
744M16—42no—
745C2×C8—21no—
746C2×C8—21no—
747C2×C8—21no—
748C2×C8—21no—
749C2×C8—42no—
750C4⋊C4—21no—
751C4⋊C4—21no—
752C4⋊C4—21no—
753C4⋊C4—21no—
754C4⋊C4—21no—
755C4⋊C4—21no—
756C4⋊C4—21no—
757C4⋊C4—21no—
758C4⋊C4—21no—
759C4⋊C4—21no—
760C4⋊C4—21no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—42no—
768C4⋊C4—81no—
769C4⋊C4C2×D4×C13911yescharacteristic
770C4⋊C4C2×D4×C13911yescharacteristic
771C4⋊C4C2×D4×C13911yescharacteristic
772C4⋊C4C2×D4×C13911yescharacteristic
773C22⋊C4—21no—
774C22⋊C4—21no—
775C22⋊C4—21no—
776C22⋊C4—21no—
777C22⋊C4—21no—
778C22⋊C4—21no—
779C22⋊C4—21no—
780C22⋊C4—21no—
781C22⋊C4—21no—
782C22⋊C4—21no—
783C22⋊C4—21no—
784C22⋊C4—21no—
785C22⋊C4—21no—
786C22⋊C4—21no—
787C22⋊C4—21no—
788C22⋊C4—21no—
789C22⋊C4—21no—
790C22⋊C4—21no—
791C22⋊C4—21no—
792C22⋊C4—21no—
793C22⋊C4—21no—
794C22⋊C4—21no—
795C22⋊C4—21no—
796C22⋊C4—21no—
797C22⋊C4—21no—
798C22⋊C4—42no—
799C22⋊C4—41no—
800C22⋊C4—41no—
801C22⋊C4—81no—
802C42—21no—
803C42—21no—
804C42—21no—
805C42—41no—
806C42—41no—
807C23—22no—
808C23—21no—
809C23—21no—
810C23—21no—
811C23—21no—
812C23—21no—
813C23—21no—
814C23—21no—
815C23—21no—
816C23—41no—
817C23—41no—
818C23—41no—
819C23—42no—
820C23—81no—
821C23—81no—
822C23—81no—
823C23—81no—
824C23—81no—
825C23#120×C13911yescharacteristic
826C23#120×C13911yescharacteristic
827C23C22×D4×C13911yescharacteristic
828Q8—41no—
829Q8—81no—
830D4—41no—
831D4—41no—
832D4—41no—
833D4—42no—
834D4—42no—
835D4—41no—
836D4—41no—
837D4—41no—
838D4—41no—
839D4—41no—
840D4—41no—
841D4—81no—
842D4—81no—
843D4—81no—
844D4—81no—
845D4—81no—
846D4—81no—
847D4—81no—
848D4—81no—
849D4—81no—
850D4—81no—
851D4—81no—
852D4—81no—
853C2×C4—22no—
854C2×C4—22no—
855C2×C4—22no—
856C2×C4—21no—
857C2×C4—21no—
858C2×C4—21no—
859C2×C4—21no—
860C2×C4—21no—
861C2×C4—21no—
862C2×C4—21no—
863C2×C4—21no—
864C2×C4—21no—
865C2×C4—21no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—41no—
869C2×C4—41no—
870C2×C4—41no—
871C2×C4—41no—
872C2×C4—41no—
873C2×C4—41no—
874C2×C4—41no—
875C2×C4—41no—
876C2×C4—41no—
877C2×C4—41no—
878C2×C4—41no—
879C2×C4—41no—
880C2×C4—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—81no—
884C2×C4—81no—
885C2×C4—81no—
886C2×C4—81no—
887C2×C4—81no—
888C2×C4—81no—
889C2×C4—81no—
890C2×C4—84no—
891C2×C4#120×C13911yescharacteristic
892C2×C4#120×C13911yescharacteristic
893C2×C4C22×D4×C13911yescharacteristic
894C2×C4C22×D4×C13911yescharacteristic
895C8—41no—
896C8—41no—
897C8—41no—
898C8—41no—
899C22—21no—
900C22—21no—
901C22—21no—
902C22—21no—
903C22—21no—
904C22—21no—
905C22—21no—
906C22—42no—
907C22—42no—
908C22—41no—
909C22—41no—
910C22—41no—
911C22—41no—
912C22—41no—
913C22—41no—
914C22—41no—
915C22—41no—
916C22—41no—
917C22—41no—
918C22—41no—
919C22—41no—
920C22—81no—
921C22—81no—
922C22—162no—
923C22—162no—
924C22#458×C13912yes—
925C22C2×#120×C13911yescharacteristic
926C22#576×C13911yescharacteristic
927C22#577×C13911yescharacteristic
928C4—21no—
929C4—21no—
930C4—21no—
931C4—21no—
932C4—42no—
933C4—41no—
934C4—41no—
935C4—41no—
936C4—41no—
937C4—41no—
938C4—41no—
939C4—41no—
940C4—41no—
941C4—81no—
942C4—81no—
943C4—81no—
944C2—21no—
945C2—21no—
946C2—22no—
947C2—41no—
948C2—81no—
949C2—81no—
950C2—81no—
951C2—81no—
952C2#3012×C13911yescharacteristic
953C2#3018×C13911yescharacteristic
954C2C2×#458×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC22×C4C24×C139
prime radical#3534×C139C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C23×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3094×C139C2semidirect
3. #3091×C139C2semidirect
4. #2498×C139C2semidirect
5. #1618×C139C2semidirect
6. #1616×C139C2semidirect
7. #1615×C139C2semidirect
8. #1613×C139C2semidirect
9. #1612×C139C2semidirect
10. #1610×C139C2semidirect
11. #1609×C139C2semidirect
12. #1607×C139C2semidirect
13. #1504×C139C2semidirect
14. C2×#327×C139C2semidirect
15. #1468×C139C2semidirect
35. C2×#117×C139C22semidirect
37. #484×C139C22semidirect
38. #483×C139C22semidirect
43. #481×C139C22semidirect
44. #481×C139C22semidirect
46. #480×C139C22semidirect
47. #480×C139C22semidirect
52. #407×C139C22semidirect
53. C2×C22⋊C8×C139C22semidirect
54. #400×C139C22semidirect
55. #399×C139C22semidirect
56. #398×C139C22semidirect
57. #397×C139C22semidirect
62. C2×#95×C139C22semidirect
63. #328×C139C22semidirect
64. #328×C139C22semidirect
67. #327×C139C22semidirect
68. #327×C139C22semidirect
69. #327×C139C22semidirect
70. #327×C139C22semidirect
71. #324×C139C22semidirect
72. #324×C139C22semidirect
73. #323×C139C22semidirect
74. #323×C139C22semidirect
477. #18262C139direct (N × H)
478. C139#18262direct (N × H)
480. #3094C2×C139semidirect
481. #3091C2×C139semidirect
482. #2498C2×C139semidirect
483. #1618C2×C139semidirect
484. #1616C2×C139semidirect
485. #1615C2×C139semidirect
486. #1613C2×C139semidirect
487. #1612C2×C139semidirect
488. #1610C2×C139semidirect
489. #1609C2×C139semidirect
490. #1607C2×C139semidirect
491. #1504C2×C139semidirect
492. C2×#327C2×C139semidirect
493. #1468C2×C139semidirect
513. C2×#117C22×C139semidirect
515. #484C22×C139semidirect
516. #483C22×C139semidirect
521. #481C22×C139semidirect
522. #481C22×C139semidirect
524. #480C22×C139semidirect
525. #480C22×C139semidirect
530. #407C22×C139semidirect
531. C2×C22⋊C8C22×C139semidirect
532. #400C22×C139semidirect
533. #399C22×C139semidirect
534. #398C22×C139semidirect
535. #397C22×C139semidirect
540. C2×#95C22×C139semidirect
541. #328C22×C139semidirect
542. #328C22×C139semidirect
545. #327C22×C139semidirect
546. #327C22×C139semidirect
547. #327C22×C139semidirect
548. #327C22×C139semidirect
549. #324C22×C139semidirect
550. #324C22×C139semidirect
551. #323C22×C139semidirect
552. #323C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3534×C1392
#3094×C1392
#3091×C1392
#2498×C1392
#1618×C1392
#1616×C1392
#1615×C1392
#1613×C1392
#1612×C1392
#1610×C1392
#1609×C1392
#1607×C1392
#1504×C1392
C2×#327×C1392
#1468×C1392
#18262139