Finite Group Databasebeta

← C139×#15776 #48010372

Subgroups — C139×#15776 #48010372

Order 35584.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#399×C139C211yesmaximal, characteristic, complemented
2C2×#396×C139C211yesmaximal, characteristic, complemented
3C2×#394×C139C211yesmaximal, characteristic, complemented
4C2×#392×C139C211yesmaximal, characteristic
5C2×#390×C139C211yesmaximal, characteristic, complemented
6C2×#390×C139C211yesmaximal, characteristic, complemented
7C2×#388×C139C211yesmaximal, characteristic, complemented
8C2×#387×C139C211yesmaximal, characteristic, complemented
9#1439×C139C211yesmaximal, characteristic, complemented
10#1439×C139C211yesmaximal, characteristic, complemented
11#1438×C139C211yesmaximal, characteristic, complemented
12#1438×C139C211yesmaximal, characteristic, complemented
13#1438×C139C211yesmaximal, characteristic, complemented
14#1437×C139C211yesmaximal, characteristic, complemented
15#1436×C139C211yesmaximal, characteristic, complemented
16C23×D4×C139C2211yescharacteristic
17C23×D4×C139C2211yescharacteristic
18C23×D4×C139C2211yescharacteristic
19C22×C4⋊C4×C139C2211yescharacteristic
20C22×C4⋊C4×C139C2211yescharacteristic
21C22×C4⋊C4×C139C2211yescharacteristic
22C22×C4⋊C4×C139C2211yescharacteristic
23C22×C4⋊C4×C139C2211yescharacteristic
24C22×C22⋊C4×C139C2211yescharacteristic
25C22×C22⋊C4×C139C2211yescharacteristic
26C22×C22⋊C4×C139C2211yescharacteristic
27C22×C22⋊C4×C139C2211yescharacteristic
28C22×C22⋊C4×C139C2211yescharacteristic
29C22×C22⋊C4×C139C2211yescharacteristic
30C22×C22⋊C4×C139C2211yescharacteristic
31C22×C22⋊C4×C139C2211yescharacteristic
32C22×C22⋊C4×C139C2211yescharacteristic
33C22×C22⋊C4×C139C2211yescharacteristic
34C22×C22⋊C4×C139C2211yescharacteristic
35C22×C22⋊C4×C139C2211yescharacteristic
36C22×C22⋊C4×C139C2211yescharacteristic
37C22×C22⋊C4×C139C2211yescharacteristic
38C22×C22⋊C4×C139C2211yescharacteristic
39C22×C42×C139C2211yescharacteristic
40C22×C42×C139C2211yescharacteristic
41#399×C139—24no—
42#396×C139—24no—
43#394×C139—24no—
44#392×C139—24no—
45#390×C139—24no—
46#390×C139—24no—
47#388×C139—24no—
48#387×C139—24no—
49C2×#95×C139C2211yescharacteristic
50C2×#95×C139C2211yescharacteristic
51C2×#95×C139C2211yescharacteristic
52C2×#95×C139C2211yescharacteristic
53C2×#95×C139C2211yescharacteristic
54C2×#95×C139C2211yescharacteristic
55C2×#95×C139C2211yescharacteristic
56C2×#95×C139C2211yescharacteristic
57C2×#95×C139C2211yescharacteristic
58C2×#95×C139C2211yescharacteristic
59C25×C139C2311yescharacteristic
60C25×C139C2311yescharacteristic
61C25×C139C2311yescharacteristic
62C22×D4×C139—22no—
63C22×D4×C139—22no—
64C22×D4×C139—22no—
65C22×D4×C139—22no—
66C22×D4×C139—22no—
67C22×D4×C139—22no—
68C22×D4×C139—22no—
69C22×D4×C139—22no—
70C22×D4×C139—22no—
71C22×D4×C139—22no—
72C22×D4×C139—22no—
73C22×D4×C139—22no—
74C22×D4×C139—22no—
75C22×D4×C139—41no—
76C22×D4×C139—41no—
77C22×D4×C139—41no—
78C22×D4×C139—41no—
79C22×D4×C139—41no—
80C22×D4×C139—41no—
81C22×D4×C139—41no—
82C22×D4×C139—41no—
83C23×C4×C139C2311yescharacteristic
84C23×C4×C139C2311yescharacteristic
85C23×C4×C139C2311yescharacteristic
86C23×C4×C139C2311yescharacteristic
87C23×C4×C139C2311yescharacteristic
88C23×C4×C139C2311yescharacteristic
89C23×C4×C139C2311yescharacteristic
90C23×C4×C139C2311yescharacteristic
91C23×C4×C139C2311yescharacteristic
92C23×C4×C139C2311yescharacteristic
93C23×C4×C139C2311yescharacteristic
94C23×C4×C139C2311yescharacteristic
95C2×C4⋊C4×C139—22no—
96C2×C4⋊C4×C139—22no—
97C2×C4⋊C4×C139—22no—
98C2×C4⋊C4×C139—22no—
99C2×C4⋊C4×C139—22no—
100C2×C4⋊C4×C139—22no—
101C2×C4⋊C4×C139—22no—
102C2×C4⋊C4×C139—22no—
103C2×C4⋊C4×C139—22no—
104C2×C4⋊C4×C139—41no—
105C2×C4⋊C4×C139—41no—
106C2×C4⋊C4×C139—41no—
107C2×C4⋊C4×C139—41no—
108C2×C4⋊C4×C139D414yescomplemented
109C2×C4⋊C4×C139D414yescomplemented
110C2×C22⋊C4×C139—22no—
111C2×C22⋊C4×C139—22no—
112C2×C22⋊C4×C139—22no—
113C2×C22⋊C4×C139—22no—
114C2×C22⋊C4×C139—22no—
115C2×C22⋊C4×C139—22no—
116C2×C22⋊C4×C139—22no—
117C2×C22⋊C4×C139—22no—
118C2×C22⋊C4×C139—22no—
119C2×C22⋊C4×C139—22no—
120C2×C22⋊C4×C139—22no—
121C2×C22⋊C4×C139—22no—
122C2×C22⋊C4×C139—22no—
123C2×C22⋊C4×C139—22no—
124C2×C22⋊C4×C139—22no—
125C2×C22⋊C4×C139—22no—
126C2×C22⋊C4×C139—22no—
127C2×C22⋊C4×C139—22no—
128C2×C22⋊C4×C139—22no—
129C2×C22⋊C4×C139—22no—
130C2×C22⋊C4×C139—22no—
131C2×C22⋊C4×C139—22no—
132C2×C22⋊C4×C139—22no—
133C2×C22⋊C4×C139—22no—
134C2×C22⋊C4×C139—22no—
135C2×C22⋊C4×C139—22no—
136C2×C22⋊C4×C139—22no—
137C2×C22⋊C4×C139—22no—
138C2×C22⋊C4×C139—22no—
139C2×C22⋊C4×C139—22no—
140C2×C22⋊C4×C139—22no—
141C2×C22⋊C4×C139—41no—
142C2×C22⋊C4×C139—41no—
143C2×C22⋊C4×C139—41no—
144C2×C22⋊C4×C139—41no—
145C2×C22⋊C4×C139—41no—
146C2×C22⋊C4×C139—41no—
147C2×C22⋊C4×C139—41no—
148C2×C22⋊C4×C139—41no—
149C2×C22⋊C4×C139—41no—
150C2×C22⋊C4×C139—41no—
151C2×C22⋊C4×C139—41no—
152C2×C22⋊C4×C139—41no—
153C2×C22⋊C4×C139—41no—
154C2×C22⋊C4×C139—41no—
155C2×C42×C139—22no—
156C2×C42×C139—22no—
157C2×C42×C139—22no—
158C2×C42×C139—22no—
159C2×C42×C139—41no—
160C2×C42×C139—41no—
161#95×C139—22no—
162#95×C139—22no—
163#95×C139—22no—
164#95×C139—22no—
165#95×C139—22no—
166#95×C139—22no—
167#95×C139—41no—
168#95×C139—41no—
169#95×C139D414yes—
170#95×C139D414yescomplemented
171C24×C139—21no—
172C24×C139—21no—
173C24×C139—21no—
174C24×C139—21no—
175C24×C139—21no—
176C24×C139—21no—
177C24×C139—21no—
178C24×C139—21no—
179C24×C139—21no—
180C24×C139—21no—
181C24×C139—21no—
182C24×C139—21no—
183C24×C139—21no—
184C24×C139—21no—
185C24×C139—21no—
186C24×C139—21no—
187C24×C139—21no—
188C24×C139—21no—
189C24×C139—21no—
190C24×C139—21no—
191C24×C139—21no—
192C24×C139—21no—
193C24×C139—21no—
194C24×C139—21no—
195C24×C139—21no—
196C24×C139—21no—
197C24×C139—21no—
198C24×C139—21no—
199C24×C139—21no—
200C24×C139—21no—
201C24×C139—21no—
202C24×C139—21no—
203C24×C139—21no—
204C24×C139—21no—
205C24×C139—21no—
206C24×C139—21no—
207C24×C139—21no—
208C24×C139—21no—
209C24×C139—21no—
210C24×C139—21no—
211C24×C139—21no—
212C24×C139—21no—
213C24×C139#4112yes—
214C24×C139#4112yes—
215C24×C139#4112yes—
216C24×C139C2411yescharacteristic
217C2×D4×C139—28no—
218C2×D4×C139—28no—
219C2×D4×C139—44no—
220C2×D4×C139—44no—
221C2×D4×C139—44no—
222C2×D4×C139—44no—
223C2×D4×C139—44no—
224C2×D4×C139—44no—
225C2×D4×C139—44no—
226C2×D4×C139—44no—
227C2×D4×C139—44no—
228C2×D4×C139—44no—
229C2×D4×C139—44no—
230C2×D4×C139—44no—
231C2×D4×C139—44no—
232C2×D4×C139—44no—
233C2×D4×C139—44no—
234C2×D4×C139—44no—
235C2×D4×C139—44no—
236C2×D4×C139—44no—
237C2×D4×C139—44no—
238C22×C4×C139—21no—
239C22×C4×C139—21no—
240C22×C4×C139—21no—
241C22×C4×C139—21no—
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—21no—
254C22×C4×C139—21no—
255C22×C4×C139—21no—
256C22×C4×C139—21no—
257C22×C4×C139—21no—
258C22×C4×C139—21no—
259C22×C4×C139—21no—
260C22×C4×C139—21no—
261C22×C4×C139—21no—
262C22×C4×C139—21no—
263C22×C4×C139—21no—
264C22×C4×C139—21no—
265C22×C4×C139—21no—
266C22×C4×C139—21no—
267C22×C4×C139—21no—
268C22×C4×C139—21no—
269C22×C4×C139—21no—
270C22×C4×C139—21no—
271C22×C4×C139—21no—
272C22×C4×C139—21no—
273C22×C4×C139—21no—
274C22×C4×C139—21no—
275C22×C4×C139—21no—
276C22×C4×C139—21no—
277C22×C4×C139—21no—
278C22×C4×C139—21no—
279C22×C4×C139—21no—
280C22×C4×C139—21no—
281C22×C4×C139—21no—
282C22×C4×C139—21no—
283C22×C4×C139—21no—
284C22×C4×C139—21no—
285C22×C4×C139—21no—
286C22×C4×C139—21no—
287C22×C4×C139—21no—
288C22×C4×C139—21no—
289C22×C4×C139—21no—
290C22×C4×C139—21no—
291C22×C4×C139—21no—
292C22×C4×C139—21no—
293C22×C4×C139—21no—
294C22×C4×C139—21no—
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×C139C2×D412yes—
309C22×C4×C139C2×D412yes—
310C22×C4×C139C2×D412yes—
311C22×C4×C139C2×D412yes—
312C22×C4×C139C2×D412yes—
313C22×C4×C139C2×D412yes—
314C22×C4×C139C2×D412yes—
315C22×C4×C139C2×D412yes—
316C22×C4×C139C2×D412yes—
317C22×C4×C139C2×D412yes—
318C22×C4×C139C2×D412yes—
319C22×C4×C139C2×D412yes—
320C22×C4×C139#4112yes—
321C22×C4×C139#4112yes—
322C4⋊C4×C139—28no—
323C4⋊C4×C139—44no—
324C4⋊C4×C139—44no—
325C4⋊C4×C139—44no—
326C4⋊C4×C139—44no—
327C22⋊C4×C139—28no—
328C22⋊C4×C139—44no—
329C22⋊C4×C139—44no—
330C22⋊C4×C139—44no—
331C22⋊C4×C139—44no—
332C22⋊C4×C139—44no—
333C22⋊C4×C139—44no—
334C22⋊C4×C139—44no—
335C22⋊C4×C139—44no—
336C22⋊C4×C139—44no—
337C22⋊C4×C139—44no—
338C22⋊C4×C139—44no—
339C22⋊C4×C139—44no—
340C22⋊C4×C139—44no—
341C22⋊C4×C139—44no—
342C42×C139—44no—
343C42×C139—44no—
344C23×C139—22no—
345C23×C139—22no—
346C23×C139—22no—
347C23×C139—22no—
348C23×C139—22no—
349C23×C139—22no—
350C23×C139—22no—
351C23×C139—22no—
352C23×C139—22no—
353C23×C139—22no—
354C23×C139—22no—
355C23×C139—22no—
356C23×C139—22no—
357C23×C139—22no—
358C23×C139—22no—
359C23×C139—22no—
360C23×C139—22no—
361C23×C139—22no—
362C23×C139—22no—
363C23×C139—22no—
364C23×C139—22no—
365C23×C139—41no—
366C23×C139—41no—
367C23×C139—41no—
368C23×C139—41no—
369C23×C139—41no—
370C23×C139—41no—
371C23×C139—41no—
372C23×C139—41no—
373C23×C139—41no—
374C23×C139—41no—
375C23×C139—41no—
376C23×C139—41no—
377C23×C139—41no—
378C23×C139—41no—
379C23×C139—41no—
380C23×C139—41no—
381C23×C139—41no—
382C23×C139—41no—
383C23×C139—41no—
384C23×C139—41no—
385C23×C139—41no—
386C23×C139—41no—
387C23×C139—41no—
388C23×C139—41no—
389C23×C139—41no—
390C23×C139—41no—
391C23×C139—41no—
392C23×C139—41no—
393C23×C139—41no—
394C23×C139—41no—
395C23×C139—41no—
396C23×C139—41no—
397C23×C139—41no—
398C23×C139—41no—
399C23×C139—41no—
400C23×C139—41no—
401C23×C139—41no—
402C23×C139—41no—
403C23×C139—41no—
404C23×C139—41no—
405C23×C139—41no—
406C23×C139—41no—
407C23×C139—41no—
408C23×C139—41no—
409C23×C139—41no—
410C23×C139—41no—
411C23×C139—41no—
412C23×C139—41no—
413C23×C139—41no—
414C23×C139—41no—
415C23×C139—41no—
416C23×C139—41no—
417C23×C139—41no—
418C23×C139—41no—
419C23×C139—41no—
420C23×C139—41no—
421C23×C139—41no—
422C23×C139—41no—
423C23×C139—41no—
424C23×C139—41no—
425C23×C139—41no—
426C23×C139—41no—
427C23×C139—41no—
428C23×C139—41no—
429C23×C139—41no—
430C23×C139—41no—
431C23×C139—41no—
432C23×C139—41no—
433C23×C139—41no—
434C23×C139—41no—
435C23×C139—41no—
436C23×C139—41no—
437C23×C139—41no—
438C23×C139—41no—
439C23×C139—41no—
440C23×C139—41no—
441C23×C139—41no—
442C23×C139—41no—
443C23×C139—41no—
444C23×C139—41no—
445C23×C139—41no—
446C23×C139—41no—
447C23×C139—41no—
448C23×C139—41no—
449C23×C139C22×D411yescharacteristic
450C23×C139C22×D411yescharacteristic
451C23×C139C22×D411yescharacteristic
452C23×C139C22×D411yescharacteristic
453C23×C139C2×#4111yescharacteristic
454C23×C139C2×#4111yescharacteristic
455C23×C139C2×#4111yescharacteristic
456C23×C139C2×#4111yescharacteristic
457C23×C139C2×#4111yescharacteristic
458C23×C139H(5,𝔽2)11yescharacteristic
459C23×C139H(5,𝔽2)11yescharacteristic
460C23×C139H(5,𝔽2)11yescharacteristic
461C23×C139H(5,𝔽2)11yescharacteristic
462C23×C139H(5,𝔽2)11yescharacteristic
463C23×C1392−1+411yescharacteristic
464D4×C139—416no—
465D4×C139—416no—
466D4×C139—416no—
467C2×C4×C139—22no—
468C2×C4×C139—22no—
469C2×C4×C139—22no—
470C2×C4×C139—22no—
471C2×C4×C139—22no—
472C2×C4×C139—22no—
473C2×C4×C139—22no—
474C2×C4×C139—22no—
475C2×C4×C139—22no—
476C2×C4×C139—22no—
477C2×C4×C139—22no—
478C2×C4×C139—22no—
479C2×C4×C139—22no—
480C2×C4×C139—22no—
481C2×C4×C139—22no—
482C2×C4×C139—22no—
483C2×C4×C139—22no—
484C2×C4×C139—22no—
485C2×C4×C139—22no—
486C2×C4×C139—22no—
487C2×C4×C139—22no—
488C2×C4×C139—22no—
489C2×C4×C139—22no—
490C2×C4×C139—22no—
491C2×C4×C139—22no—
492C2×C4×C139—22no—
493C2×C4×C139—22no—
494C2×C4×C139—22no—
495C2×C4×C139—22no—
496C2×C4×C139—22no—
497C2×C4×C139—22no—
498C2×C4×C139—22no—
499C2×C4×C139—22no—
500C2×C4×C139—22no—
501C2×C4×C139—22no—
502C2×C4×C139—22no—
503C2×C4×C139—41no—
504C2×C4×C139—41no—
505C2×C4×C139—41no—
506C2×C4×C139—41no—
507C2×C4×C139—41no—
508C2×C4×C139—41no—
509C2×C4×C139—41no—
510C2×C4×C139—41no—
511C2×C4×C139—41no—
512C2×C4×C139—41no—
513C2×C4×C139—41no—
514C2×C4×C139—41no—
515C2×C4×C139—41no—
516C2×C4×C139—41no—
517C2×C4×C139—41no—
518C2×C4×C139—41no—
519C2×C4×C139—41no—
520C2×C4×C139—41no—
521C2×C4×C139—41no—
522C2×C4×C139—41no—
523C2×C4×C139—41no—
524C2×C4×C139—41no—
525C2×C4×C139—41no—
526C2×C4×C139—41no—
527C2×C4×C139—41no—
528C2×C4×C139—41no—
529C2×C4×C139—41no—
530C2×C4×C139—41no—
531C2×C4×C139—41no—
532C2×C4×C139—41no—
533C2×C4×C139—41no—
534C2×C4×C139—41no—
535C2×C4×C139—41no—
536C2×C4×C139—41no—
537C2×C4×C139—41no—
538C2×C4×C139—41no—
539C2×C4×C139—41no—
540C2×C4×C139—41no—
541C2×C4×C139—41no—
542C2×C4×C139—41no—
543C2×C4×C139—41no—
544C2×C4×C139—41no—
545C2×C4×C139—41no—
546C2×C4×C139—41no—
547C2×C4×C139—41no—
548C2×C4×C139—41no—
549C2×C4×C139#12114yes—
550C2×C4×C139#12714yes—
551C22×C139—42no—
552C22×C139—42no—
553C22×C139—42no—
554C22×C139—42no—
555C22×C139—42no—
556C22×C139—42no—
557C22×C139—42no—
558C22×C139—42no—
559C22×C139—42no—
560C22×C139—42no—
561C22×C139—42no—
562C22×C139—42no—
563C22×C139—42no—
564C22×C139—42no—
565C22×C139—42no—
566C22×C139—42no—
567C22×C139—42no—
568C22×C139—42no—
569C22×C139—42no—
570C22×C139—42no—
571C22×C139—42no—
572C22×C139—81no—
573C22×C139—81no—
574C22×C139—81no—
575C22×C139—81no—
576C22×C139—81no—
577C22×C139—81no—
578C22×C139—81no—
579C22×C139—81no—
580C22×C139—81no—
581C22×C139—81no—
582C22×C139—81no—
583C22×C139—81no—
584C22×C139—81no—
585C22×C139—81no—
586C22×C139—81no—
587C22×C139—81no—
588C22×C139—81no—
589C22×C139—81no—
590C22×C139—81no—
591C22×C139—81no—
592C22×C139—81no—
593C22×C139—81no—
594C22×C139—81no—
595C22×C139—81no—
596C22×C139C2×#12111yescharacteristic
597C22×C139#52511yescharacteristic
598C22×C139#52511yescharacteristic
599C22×C139#52511yescharacteristic
600C22×C139#52911yescharacteristic
601C22×C139C2×#12711yescharacteristic
602C22×C139#53411yescharacteristic
603C22×C139#53511yescharacteristic
604C22×C139#53511yescharacteristic
605C22×C139#53711yescharacteristic
606C22×C139#53811yescharacteristic
607C22×C139#53811yescharacteristic
608C22×C139#53911yescharacteristic
609C22×C139#54011yescharacteristic
610C22×C139#54211yescharacteristic
611C22×C139D4211yescharacteristic
612C22×C139D4211yescharacteristic
613C22×C139#54611yescharacteristic
614C22×C139#54611yescharacteristic
615C22×C139#54611yescharacteristic
616C22×C139#54611yescharacteristic
617C22×C139#54611yescharacteristic
618C22×C139#54611yescharacteristic
619C22×C139#54811yescharacteristic
620C22×C139#54811yescharacteristic
621C22×C139#54811yescharacteristic
622C22×C139#55011yescharacteristic
623C22×C139#55011yescharacteristic
624C22×C139#55011yescharacteristic
625C22×C139#55111yescharacteristic
626C22×C139#55111yescharacteristic
627C22×C139#55111yescharacteristic
628C22×C139#55311yescharacteristic
629C22×C139#56011yescharacteristic
630C22×C139#56211yescharacteristic
631C4×C139—24no—
632C4×C139—24no—
633C4×C139—42no—
634C4×C139—42no—
635C4×C139—42no—
636C4×C139—42no—
637C4×C139—42no—
638C4×C139—42no—
639C4×C139—42no—
640C4×C139—42no—
641C4×C139—81no—
642C4×C139—81no—
643C2×C139—82no—
644C2×C139—82no—
645C2×C139—82no—
646C2×C139#241111yescharacteristic
647C2×C139#242611yescharacteristic
648C2×C139#245611yescharacteristic
649C2×C139#246311yescharacteristic
650C2×C139#246711yescharacteristic
651C2×C139#247111yescharacteristic
652C2×C139#253911yescharacteristic
653C2×C139#254011yescharacteristic
654C2×C139#254111yescharacteristic
655C2×C139#267311yescharacteristic
656C2×C139#267611yescharacteristic
657C2×C139#268511yescharacteristic
658C2×C139#270511yescharacteristic
659C2×C139#271111yescharacteristic
660C2×C139#273011yescharacteristic
661#15776C13911yesmaximal, characteristic, direct product factor, Sylow
662C139#1577611yescharacteristic, direct product factor, Sylow
663C2×#399C2×C13911yescharacteristic, complemented
664C2×#396C2×C13911yescharacteristic, complemented
665C2×#394C2×C13911yescharacteristic, complemented
666C2×#392C2×C13911yescharacteristic
667C2×#390C2×C13911yescharacteristic, complemented
668C2×#390C2×C13911yescharacteristic, complemented
669C2×#388C2×C13911yescharacteristic, complemented
670C2×#387C2×C13911yescharacteristic, complemented
671#1439C2×C13911yescharacteristic, complemented
672#1439C2×C13911yescharacteristic, complemented
673#1438C2×C13911yescharacteristic, complemented
674#1438C2×C13911yescharacteristic, complemented
675#1438C2×C13911yescharacteristic, complemented
676#1437C2×C13911yescharacteristic, complemented
677#1436C2×C13911yescharacteristic, complemented
678C23×D4C22×C13911yescharacteristic
679C23×D4C22×C13911yescharacteristic
680C23×D4C22×C13911yescharacteristic
681C22×C4⋊C4C22×C13911yescharacteristic
682C22×C4⋊C4C22×C13911yescharacteristic
683C22×C4⋊C4C22×C13911yescharacteristic
684C22×C4⋊C4C22×C13911yescharacteristic
685C22×C4⋊C4C22×C13911yescharacteristic
686C22×C22⋊C4C22×C13911yescharacteristic
687C22×C22⋊C4C22×C13911yescharacteristic
688C22×C22⋊C4C22×C13911yescharacteristic
689C22×C22⋊C4C22×C13911yescharacteristic
690C22×C22⋊C4C22×C13911yescharacteristic
691C22×C22⋊C4C22×C13911yescharacteristic
692C22×C22⋊C4C22×C13911yescharacteristic
693C22×C22⋊C4C22×C13911yescharacteristic
694C22×C22⋊C4C22×C13911yescharacteristic
695C22×C22⋊C4C22×C13911yescharacteristic
696C22×C22⋊C4C22×C13911yescharacteristic
697C22×C22⋊C4C22×C13911yescharacteristic
698C22×C22⋊C4C22×C13911yescharacteristic
699C22×C22⋊C4C22×C13911yescharacteristic
700C22×C22⋊C4C22×C13911yescharacteristic
701C22×C42C22×C13911yescharacteristic
702C22×C42C22×C13911yescharacteristic
703#399—24no—
704#396—24no—
705#394—24no—
706#392—24no—
707#390—24no—
708#390—24no—
709#388—24no—
710#387—24no—
711C2×#95C22×C13911yescharacteristic
712C2×#95C22×C13911yescharacteristic
713C2×#95C22×C13911yescharacteristic
714C2×#95C22×C13911yescharacteristic
715C2×#95C22×C13911yescharacteristic
716C2×#95C22×C13911yescharacteristic
717C2×#95C22×C13911yescharacteristic
718C2×#95C22×C13911yescharacteristic
719C2×#95C22×C13911yescharacteristic
720C2×#95C22×C13911yescharacteristic
721C25C23×C13911yescharacteristic
722C25C23×C13911yescharacteristic
723C25C23×C13911yescharacteristic
724C22×D4—22no—
725C22×D4—22no—
726C22×D4—22no—
727C22×D4—22no—
728C22×D4—22no—
729C22×D4—22no—
730C22×D4—22no—
731C22×D4—22no—
732C22×D4—22no—
733C22×D4—22no—
734C22×D4—22no—
735C22×D4—22no—
736C22×D4—22no—
737C22×D4—41no—
738C22×D4—41no—
739C22×D4—41no—
740C22×D4—41no—
741C22×D4—41no—
742C22×D4—41no—
743C22×D4—41no—
744C22×D4—41no—
745C23×C4C23×C13911yescharacteristic
746C23×C4C23×C13911yescharacteristic
747C23×C4C23×C13911yescharacteristic
748C23×C4C23×C13911yescharacteristic
749C23×C4C23×C13911yescharacteristic
750C23×C4C23×C13911yescharacteristic
751C23×C4C23×C13911yescharacteristic
752C23×C4C23×C13911yescharacteristic
753C23×C4C23×C13911yescharacteristic
754C23×C4C23×C13911yescharacteristic
755C23×C4C23×C13911yescharacteristic
756C23×C4C23×C13911yescharacteristic
757C2×C4⋊C4—22no—
758C2×C4⋊C4—22no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4—41no—
769C2×C4⋊C4—41no—
770C2×C4⋊C4D4×C13914yescomplemented
771C2×C4⋊C4D4×C13914yescomplemented
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—22no—
794C2×C22⋊C4—22no—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C42—22no—
818C2×C42—22no—
819C2×C42—22no—
820C2×C42—22no—
821C2×C42—41no—
822C2×C42—41no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—41no—
830#95—41no—
831#95D4×C13914yes—
832#95D4×C13914yescomplemented
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24#41×C13912yes—
876C24#41×C13912yes—
877C24#41×C13912yes—
878C24C24×C13911yescharacteristic
879C2×D4—28no—
880C2×D4—28no—
881C2×D4—44no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—44no—
885C2×D4—44no—
886C2×D4—44no—
887C2×D4—44no—
888C2×D4—44no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—44no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4C2×D4×C13912yes—
971C22×C4C2×D4×C13912yes—
972C22×C4C2×D4×C13912yes—
973C22×C4C2×D4×C13912yes—
974C22×C4C2×D4×C13912yes—
975C22×C4C2×D4×C13912yes—
976C22×C4C2×D4×C13912yes—
977C22×C4C2×D4×C13912yes—
978C22×C4C2×D4×C13912yes—
979C22×C4C2×D4×C13912yes—
980C22×C4C2×D4×C13912yes—
981C22×C4C2×D4×C13912yes—
982C22×C4#41×C13912yes—
983C22×C4#41×C13912yes—
984C4⋊C4—28no—
985C4⋊C4—44no—
986C4⋊C4—44no—
987C4⋊C4—44no—
988C4⋊C4—44no—
989C22⋊C4—28no—
990C22⋊C4—44no—
991C22⋊C4—44no—
992C22⋊C4—44no—
993C22⋊C4—44no—
994C22⋊C4—44no—
995C22⋊C4—44no—
996C22⋊C4—44no—
997C22⋊C4—44no—
998C22⋊C4—44no—
999C22⋊C4—44no—
1000C22⋊C4—44no—
1001C22⋊C4—44no—
1002C22⋊C4—44no—
1003C22⋊C4—44no—
1004C42—44no—
1005C42—44no—
1006C23—22no—
1007C23—22no—
1008C23—22no—
1009C23—22no—
1010C23—22no—
1011C23—22no—
1012C23—22no—
1013C23—22no—
1014C23—22no—
1015C23—22no—
1016C23—22no—
1017C23—22no—
1018C23—22no—
1019C23—22no—
1020C23—22no—
1021C23—22no—
1022C23—22no—
1023C23—22no—
1024C23—22no—
1025C23—22no—
1026C23—22no—
1027C23—41no—
1028C23—41no—
1029C23—41no—
1030C23—41no—
1031C23—41no—
1032C23—41no—
1033C23—41no—
1034C23—41no—
1035C23—41no—
1036C23—41no—
1037C23—41no—
1038C23—41no—
1039C23—41no—
1040C23—41no—
1041C23—41no—
1042C23—41no—
1043C23—41no—
1044C23—41no—
1045C23—41no—
1046C23—41no—
1047C23—41no—
1048C23—41no—
1049C23—41no—
1050C23—41no—
1051C23—41no—
1052C23—41no—
1053C23—41no—
1054C23—41no—
1055C23—41no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—41no—
1060C23—41no—
1061C23—41no—
1062C23—41no—
1063C23—41no—
1064C23—41no—
1065C23—41no—
1066C23—41no—
1067C23—41no—
1068C23—41no—
1069C23—41no—
1070C23—41no—
1071C23—41no—
1072C23—41no—
1073C23—41no—
1074C23—41no—
1075C23—41no—
1076C23—41no—
1077C23—41no—
1078C23—41no—
1079C23—41no—
1080C23—41no—
1081C23—41no—
1082C23—41no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23—41no—
1096C23—41no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23C22×D4×C13911yescharacteristic
1112C23C22×D4×C13911yescharacteristic
1113C23C22×D4×C13911yescharacteristic
1114C23C22×D4×C13911yescharacteristic
1115C23C2×#41×C13911yescharacteristic
1116C23C2×#41×C13911yescharacteristic
1117C23C2×#41×C13911yescharacteristic
1118C23C2×#41×C13911yescharacteristic
1119C23C2×#41×C13911yescharacteristic
1120C23H(5,𝔽2)×C13911yescharacteristic
1121C23H(5,𝔽2)×C13911yescharacteristic
1122C23H(5,𝔽2)×C13911yescharacteristic
1123C23H(5,𝔽2)×C13911yescharacteristic
1124C23H(5,𝔽2)×C13911yescharacteristic
1125C232−1+4×C13911yescharacteristic
1126D4—416no—
1127D4—416no—
1128D4—416no—
1129C2×C4—22no—
1130C2×C4—22no—
1131C2×C4—22no—
1132C2×C4—22no—
1133C2×C4—22no—
1134C2×C4—22no—
1135C2×C4—22no—
1136C2×C4—22no—
1137C2×C4—22no—
1138C2×C4—22no—
1139C2×C4—22no—
1140C2×C4—22no—
1141C2×C4—22no—
1142C2×C4—22no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—22no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—22no—
1151C2×C4—22no—
1152C2×C4—22no—
1153C2×C4—22no—
1154C2×C4—22no—
1155C2×C4—22no—
1156C2×C4—22no—
1157C2×C4—22no—
1158C2×C4—22no—
1159C2×C4—22no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—22no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—41no—
1166C2×C4—41no—
1167C2×C4—41no—
1168C2×C4—41no—
1169C2×C4—41no—
1170C2×C4—41no—
1171C2×C4—41no—
1172C2×C4—41no—
1173C2×C4—41no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—41no—
1197C2×C4—41no—
1198C2×C4—41no—
1199C2×C4—41no—
1200C2×C4—41no—
1201C2×C4—41no—
1202C2×C4—41no—
1203C2×C4—41no—
1204C2×C4—41no—
1205C2×C4—41no—
1206C2×C4—41no—
1207C2×C4—41no—
1208C2×C4—41no—
1209C2×C4—41no—
1210C2×C4—41no—
1211C2×C4#121×C13914yes—
1212C2×C4#127×C13914yes—
1213C22—42no—
1214C22—42no—
1215C22—42no—
1216C22—42no—
1217C22—42no—
1218C22—42no—
1219C22—42no—
1220C22—42no—
1221C22—42no—
1222C22—42no—
1223C22—42no—
1224C22—42no—
1225C22—42no—
1226C22—42no—
1227C22—42no—
1228C22—42no—
1229C22—42no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—42no—
1234C22—81no—
1235C22—81no—
1236C22—81no—
1237C22—81no—
1238C22—81no—
1239C22—81no—
1240C22—81no—
1241C22—81no—
1242C22—81no—
1243C22—81no—
1244C22—81no—
1245C22—81no—
1246C22—81no—
1247C22—81no—
1248C22—81no—
1249C22—81no—
1250C22—81no—
1251C22—81no—
1252C22—81no—
1253C22—81no—
1254C22—81no—
1255C22—81no—
1256C22—81no—
1257C22—81no—
1258C22C2×#121×C13911yescharacteristic
1259C22#525×C13911yescharacteristic
1260C22#525×C13911yescharacteristic
1261C22#525×C13911yescharacteristic
1262C22#529×C13911yescharacteristic
1263C22C2×#127×C13911yescharacteristic
1264C22#534×C13911yescharacteristic
1265C22#535×C13911yescharacteristic
1266C22#535×C13911yescharacteristic
1267C22#537×C13911yescharacteristic
1268C22#538×C13911yescharacteristic
1269C22#538×C13911yescharacteristic
1270C22#539×C13911yescharacteristic
1271C22#540×C13911yescharacteristic
1272C22#542×C13911yescharacteristic
1273C22D42×C13911yescharacteristic
1274C22D42×C13911yescharacteristic
1275C22#546×C13911yescharacteristic
1276C22#546×C13911yescharacteristic
1277C22#546×C13911yescharacteristic
1278C22#546×C13911yescharacteristic
1279C22#546×C13911yescharacteristic
1280C22#546×C13911yescharacteristic
1281C22#548×C13911yescharacteristic
1282C22#548×C13911yescharacteristic
1283C22#548×C13911yescharacteristic
1284C22#550×C13911yescharacteristic
1285C22#550×C13911yescharacteristic
1286C22#550×C13911yescharacteristic
1287C22#551×C13911yescharacteristic
1288C22#551×C13911yescharacteristic
1289C22#551×C13911yescharacteristic
1290C22#553×C13911yescharacteristic
1291C22#560×C13911yescharacteristic
1292C22#562×C13911yescharacteristic
1293C4—24no—
1294C4—24no—
1295C4—42no—
1296C4—42no—
1297C4—42no—
1298C4—42no—
1299C4—42no—
1300C4—42no—
1301C4—42no—
1302C4—42no—
1303C4—81no—
1304C4—81no—
1305C2—82no—
1306C2—82no—
1307C2—82no—
1308C2#2411×C13911yescharacteristic
1309C2#2426×C13911yescharacteristic
1310C2#2456×C13911yescharacteristic
1311C2#2463×C13911yescharacteristic
1312C2#2467×C13911yescharacteristic
1313C2#2471×C13911yescharacteristic
1314C2#2539×C13911yescharacteristic
1315C2#2540×C13911yescharacteristic
1316C2#2541×C13911yescharacteristic
1317C2#2673×C13911yescharacteristic
1318C2#2676×C13911yescharacteristic
1319C2#2685×C13911yescharacteristic
1320C2#2705×C13911yescharacteristic
1321C2#2711×C13911yescharacteristic
1322C2#2730×C13911yescharacteristic
subgroupG/H
center, socleC24×C139C24
commutator, Frattini, cosocleC24C24×C139
prime radicalC2×#392×C139C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#399×C139C2semidirect
2. C2×#396×C139C2semidirect
3. C2×#394×C139C2semidirect
5. C2×#390×C139C2semidirect
6. C2×#390×C139C2semidirect
7. C2×#388×C139C2semidirect
8. C2×#387×C139C2semidirect
9. #1439×C139C2semidirect
10. #1439×C139C2semidirect
11. #1438×C139C2semidirect
12. #1438×C139C2semidirect
13. #1438×C139C2semidirect
14. #1437×C139C2semidirect
15. #1436×C139C2semidirect
108. C2×C4⋊C4×C139D4semidirect
109. C2×C4⋊C4×C139D4semidirect
170. #95×C139D4semidirect
661. #15776C139direct (N × H)
662. C139#15776direct (N × H)
663. C2×#399C2×C139semidirect
664. C2×#396C2×C139semidirect
665. C2×#394C2×C139semidirect
667. C2×#390C2×C139semidirect
668. C2×#390C2×C139semidirect
669. C2×#388C2×C139semidirect
670. C2×#387C2×C139semidirect
671. #1439C2×C139semidirect
672. #1439C2×C139semidirect
673. #1438C2×C139semidirect
674. #1438C2×C139semidirect
675. #1438C2×C139semidirect
676. #1437C2×C139semidirect
677. #1436C2×C139semidirect
770. C2×C4⋊C4D4×C139semidirect
771. C2×C4⋊C4D4×C139semidirect
832. #95D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#399×C1392
C2×#396×C1392
C2×#394×C1392
C2×#392×C1392
C2×#390×C1392
C2×#388×C1392
C2×#387×C1392
#1439×C1392
#1438×C1392
#1437×C1392
#1436×C1392
#15776139