Finite Group Databasebeta

← C139×#24664 #48019260

Subgroups — C139×#24664 #48019260

Order 35584.

814 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×#462×C139C211yesmaximal, characteristic, complemented
2C2×#433×C139C211yesmaximal, characteristic
3#2621×C139C211yesmaximal, characteristic
4#2323×C139C211yesmaximal, characteristic
5#2036×C139C211yesmaximal, characteristic
6#2035×C139C211yesmaximal, characteristic
7#2001×C139C211yesmaximal, characteristic
8#2001×C139C211yesmaximal, characteristic
9#1981×C139C211yesmaximal, characteristic, complemented
10#1971×C139C211yesmaximal, characteristic, complemented
11#1969×C139C211yesmaximal, characteristic, complemented
12#1949×C139C211yesmaximal, characteristic, complemented
13#1935×C139C211yesmaximal, characteristic, complemented
14#1933×C139C211yesmaximal, characteristic, complemented
15#1805×C139C211yesmaximal, characteristic, complemented
16C22×Q16×C139C2211yescharacteristic
17C22×Q16×C139C2211yescharacteristic
18C2×C4⋊Q8×C139C2211yescharacteristic
19C2×C22⋊Q8×C139C2211yescharacteristic
20C2×C22⋊Q8×C139C2211yescharacteristic
21C2×C22⋊Q8×C139C2211yescharacteristic
22C2×C4×Q8×C139C2211yescharacteristic
23C2×#117×C139C2211yescharacteristic
24#462×C139—24no—
25#433×C139—24no—
26C2×#107×C139C2211yescharacteristic
27C2×#106×C139C2211yescharacteristic
28C2×C4⋊C8×C139C2211yescharacteristic
29C2×C4⋊C8×C139C2211yescharacteristic
30C2×#103×C139C2211yescharacteristic
31C2×#103×C139C2211yescharacteristic
32C2×#103×C139C2211yescharacteristic
33C2×#103×C139C2211yescharacteristic
34C2×#103×C139C2211yescharacteristic
35C2×#103×C139C2211yescharacteristic
36C2×#103×C139C2211yescharacteristic
37C2×#103×C139C2211yescharacteristic
38C2×C22⋊C8×C139C2211yescharacteristic
39C2×C22⋊C8×C139C2211yescharacteristic
40C2×#97×C139C2211yescharacteristic
41C2×C4×C8×C139C2211yescharacteristic
42#398×C139—21no—
43#398×C139—21no—
44#397×C139—21no—
45#397×C139—21no—
46#391×C139C2211yescharacteristic
47#391×C139C2211yescharacteristic
48#391×C139C2211yescharacteristic
49#389×C139—21no—
50#389×C139C2211yescharacteristic
51#388×C139—21no—
52#388×C139—21no—
53#387×C139—21no—
54#382×C139C2211yescharacteristic
55#380×C139C2211yescharacteristic
56C4×C4⋊C4×C139C2211yescharacteristic
57#340×C139C2211yescharacteristic
58#340×C139C2211yescharacteristic
59#340×C139C2211yescharacteristic
60#340×C139C2211yescharacteristic
61C22×Q8×C139C2311yescharacteristic
62C22×Q8×C139C2311yescharacteristic
63C22×Q8×C139C2311yescharacteristic
64C23×C4×C139C2311yescharacteristic
65C2×Q16×C139—22no—
66C2×Q16×C139—22no—
67C2×Q16×C139—22no—
68C2×Q16×C139—22no—
69C2×Q16×C139—41no—
70C2×Q16×C139—41no—
71C22×C8×C139C2311yescharacteristic
72C22×C8×C139C2311yescharacteristic
73C22×C8×C139C2311yescharacteristic
74C22×C8×C139C2311yescharacteristic
75C4⋊Q8×C139—22no—
76C4⋊Q8×C139—22no—
77C22⋊Q8×C139—22no—
78C22⋊Q8×C139—22no—
79C22⋊Q8×C139—41no—
80C22⋊Q8×C139—41no—
81C22⋊Q8×C139—41no—
82C22⋊Q8×C139—41no—
83C4×Q8×C139—22no—
84C4×Q8×C139—22no—
85#117×C139—22no—
86#117×C139—22no—
87C2×C4⋊C4×C139—21no—
88C2×C4⋊C4×C139—21no—
89C2×C4⋊C4×C139—21no—
90C2×C4⋊C4×C139—21no—
91C2×C4⋊C4×C139—21no—
92C2×C4⋊C4×C139—21no—
93C2×C4⋊C4×C139—21no—
94C2×C4⋊C4×C139D411yescharacteristic
95C2×C4⋊C4×C139D411yescharacteristic
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×C139D411yescharacteristic
106C2×C22⋊C4×C139D411yescharacteristic
107C2×C42×C139—21no—
108C2×C42×C139—21no—
109C2×C42×C139C2311yescharacteristic
110C2×C42×C139C2311yescharacteristic
111#107×C139—41no—
112#106×C139—41no—
113C4⋊C8×C139—22no—
114C4⋊C8×C139D414yes—
115#103×C139—22no—
116#103×C139—22no—
117#103×C139—22no—
118#103×C139—22no—
119#103×C139—41no—
120#103×C139—41no—
121#103×C139—41no—
122#103×C139—41no—
123C22⋊C8×C139—22no—
124C22⋊C8×C139—22no—
125#97×C139—22no—
126C4×C8×C139—22no—
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×C139—21no—
136#95×C139—21no—
137#95×C139—21no—
138C24×C139C2×D411yescharacteristic
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×C139—21no—
149C2×Q8×C139—21no—
150C2×Q8×C139—21no—
151C2×Q8×C139—21no—
152C2×Q8×C139—21no—
153C2×Q8×C139—21no—
154C2×Q8×C139—21no—
155C2×Q8×C139—21no—
156C2×Q8×C139#4112yes—
157C22×C4×C139—21no—
158C22×C4×C139—21no—
159C22×C4×C139—21no—
160C22×C4×C139—21no—
161C22×C4×C139—21no—
162C22×C4×C139—21no—
163C22×C4×C139—21no—
164C22×C4×C139—21no—
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×C139C2×D411yescharacteristic
172C22×C4×C139C2×D411yescharacteristic
173C22×C4×C139C2×D411yescharacteristic
174C22×C4×C139C2×D411yescharacteristic
175C22×C4×C139C2×D411yescharacteristic
176C22×C4×C139C2411yescharacteristic
177Q16×C139—44no—
178Q16×C139—44no—
179C2×C8×C139—21no—
180C2×C8×C139—21no—
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×C139C2×D412yes—
190C2×C8×C139C2×D412yes—
191C4⋊C4×C139—24no—
192C4⋊C4×C139—22no—
193C4⋊C4×C139—22no—
194C4⋊C4×C139—21no—
195C4⋊C4×C139—21no—
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—42no—
204C4⋊C4×C139—42no—
205C4⋊C4×C139—42no—
206C4⋊C4×C139—42no—
207C4⋊C4×C139—42no—
208C4⋊C4×C139—81no—
209C4⋊C4×C139#4112yes—
210C22⋊C4×C139—24no—
211C22⋊C4×C139—22no—
212C22⋊C4×C139—22no—
213C22⋊C4×C139—42no—
214C22⋊C4×C139—42no—
215C22⋊C4×C139—81no—
216C42×C139—21no—
217C42×C139—21no—
218C42×C139—42no—
219C42×C139—81no—
220C42×C139C2×D412yes—
221C42×C139#4112yes—
222C23×C139—21no—
223C23×C139—21no—
224C23×C139—21no—
225C23×C139—21no—
226C23×C139—21no—
227C23×C139—21no—
228C23×C139—21no—
229C23×C139C22×D411yescharacteristic
230Q8×C139—22no—
231Q8×C139—22no—
232Q8×C139—41no—
233Q8×C139—41no—
234Q8×C139—41no—
235Q8×C139—41no—
236Q8×C139—41no—
237Q8×C139—41no—
238Q8×C139—41no—
239Q8×C139—41no—
240Q8×C139—41no—
241Q8×C139—41no—
242C2×C4×C139—21no—
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—21no—
252C2×C4×C139—21no—
253C2×C4×C139—21no—
254C2×C4×C139—21no—
255C2×C4×C139—21no—
256C2×C4×C139—21no—
257C2×C4×C139—41no—
258C2×C4×C139—41no—
259C2×C4×C139—41no—
260C2×C4×C139—41no—
261C2×C4×C139—41no—
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—41no—
280C2×C4×C139—41no—
281C2×C4×C139—41no—
282C2×C4×C139—41no—
283C2×C4×C139#12112yes—
284C2×C4×C139#12112yes—
285C2×C4×C139C22×D411yescharacteristic
286C2×C4×C139C2×#4111yescharacteristic
287C2×C4×C139C2×#4111yescharacteristic
288C2×C4×C139C2×#4111yescharacteristic
289C2×C4×C139H(5,𝔽2)11yescharacteristic
290C2×C4×C139H(5,𝔽2)11yescharacteristic
291C8×C139—22no—
292C8×C139—22no—
293C8×C139—41no—
294C8×C139—41no—
295C22×C139—41no—
296C22×C139—41no—
297C22×C139—41no—
298C22×C139—41no—
299C22×C139—41no—
300C22×C139—41no—
301C22×C139—41no—
302C22×C139C2×#12111yescharacteristic
303C22×C139#52511yescharacteristic
304C22×C139#53511yescharacteristic
305C22×C139#57711yescharacteristic
306C22×C139#57811yescharacteristic
307C22×C139#57811yescharacteristic
308C22×C139#57811yescharacteristic
309C4×C139—22no—
310C4×C139—22no—
311C4×C139—42no—
312C4×C139—41no—
313C4×C139—42no—
314C4×C139—41no—
315C4×C139—41no—
316C4×C139—81no—
317C4×C139—81no—
318C4×C139—81no—
319C4×C139—81no—
320C4×C139—81no—
321C4×C139—81no—
322C4×C139#54611yescharacteristic
323C4×C139#55011yescharacteristic
324C4×C139#55311yescharacteristic
325C4×C139#55511yescharacteristic
326C2×C139—81no—
327C2×C139#241411yescharacteristic
328C2×C139#305911yescharacteristic
329C2×C139#306311yescharacteristic
330C2×C139#312011yescharacteristic
331C2×C139#312711yescharacteristic
332C2×C139#322311yescharacteristic
333C2×C139#322511yescharacteristic
334#24664C13911yesmaximal, characteristic, direct product factor, Sylow
335C139#2466411yescharacteristic, direct product factor, Sylow
336C2×#462C2×C13911yescharacteristic, complemented
337C2×#433C2×C13911yescharacteristic
338#2621C2×C13911yescharacteristic
339#2323C2×C13911yescharacteristic
340#2036C2×C13911yescharacteristic
341#2035C2×C13911yescharacteristic
342#2001C2×C13911yescharacteristic
343#2001C2×C13911yescharacteristic
344#1981C2×C13911yescharacteristic, complemented
345#1971C2×C13911yescharacteristic, complemented
346#1969C2×C13911yescharacteristic, complemented
347#1949C2×C13911yescharacteristic, complemented
348#1935C2×C13911yescharacteristic, complemented
349#1933C2×C13911yescharacteristic, complemented
350#1805C2×C13911yescharacteristic, complemented
351C22×Q16C22×C13911yescharacteristic
352C22×Q16C22×C13911yescharacteristic
353C2×C4⋊Q8C22×C13911yescharacteristic
354C2×C22⋊Q8C22×C13911yescharacteristic
355C2×C22⋊Q8C22×C13911yescharacteristic
356C2×C22⋊Q8C22×C13911yescharacteristic
357C2×C4×Q8C22×C13911yescharacteristic
358C2×#117C22×C13911yescharacteristic
359#462—24no—
360#433—24no—
361C2×#107C22×C13911yescharacteristic
362C2×#106C22×C13911yescharacteristic
363C2×C4⋊C8C22×C13911yescharacteristic
364C2×C4⋊C8C22×C13911yescharacteristic
365C2×#103C22×C13911yescharacteristic
366C2×#103C22×C13911yescharacteristic
367C2×#103C22×C13911yescharacteristic
368C2×#103C22×C13911yescharacteristic
369C2×#103C22×C13911yescharacteristic
370C2×#103C22×C13911yescharacteristic
371C2×#103C22×C13911yescharacteristic
372C2×#103C22×C13911yescharacteristic
373C2×C22⋊C8C22×C13911yescharacteristic
374C2×C22⋊C8C22×C13911yescharacteristic
375C2×#97C22×C13911yescharacteristic
376C2×C4×C8C22×C13911yescharacteristic
377#398—21no—
378#398—21no—
379#397—21no—
380#397—21no—
381#391C22×C13911yescharacteristic
382#391C22×C13911yescharacteristic
383#391C22×C13911yescharacteristic
384#389—21no—
385#389C22×C13911yescharacteristic
386#388—21no—
387#388—21no—
388#387—21no—
389#382C22×C13911yescharacteristic
390#380C22×C13911yescharacteristic
391C4×C4⋊C4C22×C13911yescharacteristic
392#340C22×C13911yescharacteristic
393#340C22×C13911yescharacteristic
394#340C22×C13911yescharacteristic
395#340C22×C13911yescharacteristic
396C22×Q8C23×C13911yescharacteristic
397C22×Q8C23×C13911yescharacteristic
398C22×Q8C23×C13911yescharacteristic
399C23×C4C23×C13911yescharacteristic
400C2×Q16—22no—
401C2×Q16—22no—
402C2×Q16—22no—
403C2×Q16—22no—
404C2×Q16—41no—
405C2×Q16—41no—
406C22×C8C23×C13911yescharacteristic
407C22×C8C23×C13911yescharacteristic
408C22×C8C23×C13911yescharacteristic
409C22×C8C23×C13911yescharacteristic
410C4⋊Q8—22no—
411C4⋊Q8—22no—
412C22⋊Q8—22no—
413C22⋊Q8—22no—
414C22⋊Q8—41no—
415C22⋊Q8—41no—
416C22⋊Q8—41no—
417C22⋊Q8—41no—
418C4×Q8—22no—
419C4×Q8—22no—
420#117—22no—
421#117—22no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4D4×C13911yescharacteristic
430C2×C4⋊C4D4×C13911yescharacteristic
431C2×C4⋊C4C23×C13911yescharacteristic
432C2×C4⋊C4C23×C13911yescharacteristic
433C2×C4⋊C4C23×C13911yescharacteristic
434C2×C4⋊C4C23×C13911yescharacteristic
435C2×C4⋊C4C23×C13911yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4D4×C13911yescharacteristic
441C2×C22⋊C4D4×C13911yescharacteristic
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C13911yescharacteristic
445C2×C42C23×C13911yescharacteristic
446#107—41no—
447#106—41no—
448C4⋊C8—22no—
449C4⋊C8D4×C13914yes—
450#103—22no—
451#103—22no—
452#103—22no—
453#103—22no—
454#103—41no—
455#103—41no—
456#103—41no—
457#103—41no—
458C22⋊C8—22no—
459C22⋊C8—22no—
460#97—22no—
461C4×C8—22no—
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#95—21no—
471#95—21no—
472#95—21no—
473C24C2×D4×C13911yescharacteristic
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×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8#41×C13912yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4C2×D4×C13911yescharacteristic
507C22×C4C2×D4×C13911yescharacteristic
508C22×C4C2×D4×C13911yescharacteristic
509C22×C4C2×D4×C13911yescharacteristic
510C22×C4C2×D4×C13911yescharacteristic
511C22×C4C24×C13911yescharacteristic
512Q16—44no—
513Q16—44no—
514C2×C8—21no—
515C2×C8—21no—
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×C8C2×D4×C13912yes—
525C2×C8C2×D4×C13912yes—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4#41×C13912yes—
545C22⋊C4—24no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42—81no—
555C42C2×D4×C13912yes—
556C42#41×C13912yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23C22×D4×C13911yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—41no—
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577C2×C4—21no—
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—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
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—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4#121×C13912yes—
619C2×C4#121×C13912yes—
620C2×C4C22×D4×C13911yescharacteristic
621C2×C4C2×#41×C13911yescharacteristic
622C2×C4C2×#41×C13911yescharacteristic
623C2×C4C2×#41×C13911yescharacteristic
624C2×C4H(5,𝔽2)×C13911yescharacteristic
625C2×C4H(5,𝔽2)×C13911yescharacteristic
626C8—22no—
627C8—22no—
628C8—41no—
629C8—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22C2×#121×C13911yescharacteristic
638C22#525×C13911yescharacteristic
639C22#535×C13911yescharacteristic
640C22#577×C13911yescharacteristic
641C22#578×C13911yescharacteristic
642C22#578×C13911yescharacteristic
643C22#578×C13911yescharacteristic
644C4—22no—
645C4—22no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4#546×C13911yescharacteristic
658C4#550×C13911yescharacteristic
659C4#553×C13911yescharacteristic
660C4#555×C13911yescharacteristic
661C2—81no—
662C2#2414×C13911yescharacteristic
663C2#3059×C13911yescharacteristic
664C2#3063×C13911yescharacteristic
665C2#3120×C13911yescharacteristic
666C2#3127×C13911yescharacteristic
667C2#3223×C13911yescharacteristic
668C2#3225×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radicalC24×C139C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C2×#117×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#462×C139C2semidirect
9. #1981×C139C2semidirect
10. #1971×C139C2semidirect
11. #1969×C139C2semidirect
12. #1949×C139C2semidirect
13. #1935×C139C2semidirect
14. #1933×C139C2semidirect
15. #1805×C139C2semidirect
334. #24664C139direct (N × H)
335. C139#24664direct (N × H)
336. C2×#462C2×C139semidirect
344. #1981C2×C139semidirect
345. #1971C2×C139semidirect
346. #1969C2×C139semidirect
347. #1949C2×C139semidirect
348. #1935C2×C139semidirect
349. #1933C2×C139semidirect
350. #1805C2×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#462×C1392
C2×#433×C1392
#2621×C1392
#2323×C1392
#2036×C1392
#2035×C1392
#2001×C1392
#1981×C1392
#1971×C1392
#1969×C1392
#1949×C1392
#1935×C1392
#1933×C1392
#1805×C1392
#24664139