Finite Group Databasebeta

← C139×#26478 #48021074

Subgroups — C139×#26478 #48021074

Order 35584.

844 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#477×C139C211yesmaximal, characteristic, complemented
2C2×#474×C139C211yesmaximal, characteristic
3#2551×C139C211yesmaximal, characteristic, complemented
4#2367×C139C211yesmaximal, characteristic
5#2066×C139C211yesmaximal, characteristic, complemented
6#2065×C139C211yesmaximal, characteristic
7#2024×C139C211yesmaximal, characteristic, complemented
8#2023×C139C211yesmaximal, characteristic
9#1983×C139C211yesmaximal, characteristic
10#1959×C139C211yesmaximal, characteristic
11#1947×C139C211yesmaximal, characteristic, complemented
12#1940×C139C211yesmaximal, characteristic, complemented
13#1863×C139C211yesmaximal, characteristic, complemented
14#1862×C139C211yesmaximal, characteristic
15#1776×C139C211yesmaximal, characteristic, complemented
16C2×C4⋊Q8×C139—21no—
17C2×C4⋊Q8×C139C2211yescharacteristic
18C2×C4⋊Q8×C139C2211yescharacteristic
19C2×#124×C139C2211yescharacteristic
20C2×C4×Q8×C139C2211yescharacteristic
21C2×C4×D4×C139C2211yescharacteristic
22#477×C139—24no—
23#474×C139—24no—
24C2×#107×C139C2211yescharacteristic
25C2×#107×C139C2211yescharacteristic
26C2×#107×C139C2211yescharacteristic
27C2×#106×C139C2211yescharacteristic
28C2×C4⋊C8×C139C2211yescharacteristic
29C2×C4⋊C8×C139C2211yescharacteristic
30C2×C4⋊C8×C139C2211yescharacteristic
31C2×#103×C139C2211yescharacteristic
32C2×#103×C139C2211yescharacteristic
33C2×#103×C139C2211yescharacteristic
34C2×#103×C139C2211yescharacteristic
35C2×#102×C139C2211yescharacteristic
36C2×#102×C139C2211yescharacteristic
37C2×#102×C139C2211yescharacteristic
38C2×#102×C139C2211yescharacteristic
39C2×#97×C139C2211yescharacteristic
40#395×C139—21no—
41#395×C139—21no—
42#391×C139C2211yescharacteristic
43#390×C139C2211yescharacteristic
44#389×C139—21no—
45#389×C139C2211yescharacteristic
46#389×C139C2211yescharacteristic
47#388×C139—21no—
48#388×C139—21no—
49#385×C139—21no—
50#384×C139C2211yescharacteristic
51C4×C4⋊C4×C139C2211yescharacteristic
52C4×C4⋊C4×C139C2211yescharacteristic
53C4×C4⋊C4×C139C2211yescharacteristic
54C4×C22⋊C4×C139—21no—
55#340×C139C2211yescharacteristic
56#340×C139C2211yescharacteristic
57#340×C139C2211yescharacteristic
58#340×C139C2211yescharacteristic
59#336×C139C2211yescharacteristic
60#336×C139C2211yescharacteristic
61C22×Q8×C139—21no—
62C22×Q8×C139—21no—
63C22×Q8×C139C2311yescharacteristic
64C22×D4×C139C2311yescharacteristic
65C23×C4×C139—21no—
66C22×C8×C139C2311yescharacteristic
67C22×C8×C139C2311yescharacteristic
68C22×C8×C139C2311yescharacteristic
69C22×C8×C139C2311yescharacteristic
70C4⋊Q8×C139—22no—
71C4⋊Q8×C139—22no—
72C4⋊Q8×C139—41no—
73C4⋊Q8×C139—41no—
74C4⋊Q8×C139—44no—
75#124×C139—22no—
76#124×C139Q814yescomplemented
77C4×Q8×C139—22no—
78C4×Q8×C139—41no—
79C4×D4×C139—22no—
80C4×D4×C139—41no—
81C2×C4⋊C4×C139—21no—
82C2×C4⋊C4×C139—21no—
83C2×C4⋊C4×C139—21no—
84C2×C4⋊C4×C139—21no—
85C2×C4⋊C4×C139—21no—
86C2×C4⋊C4×C139—21no—
87C2×C4⋊C4×C139—21no—
88C2×C4⋊C4×C139D411yescharacteristic
89C2×C4⋊C4×C139D411yescharacteristic
90C2×C4⋊C4×C139C2311yescharacteristic
91C2×C4⋊C4×C139C2311yescharacteristic
92C2×C4⋊C4×C139C2311yescharacteristic
93C2×C4⋊C4×C139C2311yescharacteristic
94C2×C4⋊C4×C139C2311yescharacteristic
95C2×C4⋊C4×C139C2311yescharacteristic
96C2×C22⋊C4×C139—21no—
97C2×C22⋊C4×C139—21no—
98C2×C22⋊C4×C139—21no—
99C2×C22⋊C4×C139—21no—
100C2×C22⋊C4×C139—21no—
101C2×C42×C139—21no—
102C2×C42×C139—21no—
103C2×C42×C139—21no—
104C2×C42×C139C2311yescharacteristic
105C2×C42×C139C2311yescharacteristic
106C2×C42×C139C2311yescharacteristic
107#107×C139—22no—
108#107×C139—22no—
109#107×C139D414yes—
110#106×C139—22no—
111C4⋊C8×C139—22no—
112C4⋊C8×C139—22no—
113C4⋊C8×C139—22no—
114#103×C139—22no—
115#103×C139—22no—
116#103×C139—22no—
117#103×C139—41no—
118#102×C139—22no—
119#102×C139—22no—
120#102×C139—22no—
121#102×C139—41no—
122#97×C139—22no—
123#95×C139—21no—
124#95×C139—21no—
125#95×C139—21no—
126#95×C139—21no—
127#95×C139—21no—
128#95×C139—21no—
129#95×C139D411yescharacteristic
130#95×C139D411yescharacteristic
131C24×C139—21no—
132C2×Q8×C139—21no—
133C2×Q8×C139—21no—
134C2×Q8×C139—21no—
135C2×Q8×C139—21no—
136C2×Q8×C139—21no—
137C2×Q8×C139—42no—
138C2×Q8×C139—42no—
139C2×Q8×C139—42no—
140C2×Q8×C139—42no—
141C2×Q8×C139—81no—
142C2×Q8×C139—81no—
143C2×Q8×C139C2×Q812yes—
144C2×D4×C139—21no—
145C2×D4×C139—21no—
146C2×D4×C139—21no—
147C2×D4×C139—21no—
148C2×D4×C139—21no—
149C2×D4×C139C2×Q812yes—
150C22×C4×C139—21no—
151C22×C4×C139—21no—
152C22×C4×C139—21no—
153C22×C4×C139—21no—
154C22×C4×C139—21no—
155C22×C4×C139—21no—
156C22×C4×C139—21no—
157C22×C4×C139—42no—
158C22×C4×C139—42no—
159C22×C4×C139—81no—
160C22×C4×C139C2×D411yescharacteristic
161C22×C4×C139C2×D411yescharacteristic
162C22×C4×C139C2×D411yescharacteristic
163C22×C4×C139C2×D411yescharacteristic
164C22×C4×C139C2×D411yescharacteristic
165C22×C4×C139C2×D411yescharacteristic
166C22×C4×C139C2411yescharacteristic
167C2×C8×C139—21no—
168C2×C8×C139—21no—
169C2×C8×C139—21no—
170C2×C8×C139—21no—
171C2×C8×C139—21no—
172C2×C8×C139—21no—
173C2×C8×C139—21no—
174C2×C8×C139—21no—
175C2×C8×C139—21no—
176C2×C8×C139—21no—
177C2×C8×C139—21no—
178C2×C8×C139C2×D412yes—
179C4⋊C4×C139—22no—
180C4⋊C4×C139—22no—
181C4⋊C4×C139—21no—
182C4⋊C4×C139—21no—
183C4⋊C4×C139—21no—
184C4⋊C4×C139—21no—
185C4⋊C4×C139—21no—
186C4⋊C4×C139—21no—
187C4⋊C4×C139—21no—
188C4⋊C4×C139—21no—
189C4⋊C4×C139—21no—
190C4⋊C4×C139—42no—
191C4⋊C4×C139—42no—
192C4⋊C4×C139—42no—
193C4⋊C4×C139—42no—
194C4⋊C4×C139—42no—
195C4⋊C4×C139—42no—
196C4⋊C4×C139—81no—
197C4⋊C4×C139C2×D412yes—
198C4⋊C4×C139C2×D412yes—
199C4⋊C4×C139#4112yes—
200C22⋊C4×C139—24no—
201C22⋊C4×C139—24no—
202C22⋊C4×C139—42no—
203C22⋊C4×C139—42no—
204C22⋊C4×C139—81no—
205C42×C139—21no—
206C42×C139—21no—
207C42×C139—21no—
208C42×C139—21no—
209C42×C139—42no—
210C42×C139—42no—
211C42×C139—81no—
212C42×C139C2×Q812yes—
213C42×C139#4112yes—
214C23×C139—22no—
215C23×C139—41no—
216C23×C139—41no—
217C23×C139—41no—
218C23×C139—41no—
219C23×C139—41no—
220C23×C139—41no—
221C23×C139C22×D411yescharacteristic
222Q8×C139—22no—
223Q8×C139—22no—
224Q8×C139—41no—
225Q8×C139—41no—
226Q8×C139—84no—
227Q8×C139—84no—
228D4×C139—22no—
229D4×C139—22no—
230D4×C139—41no—
231D4×C139—41no—
232C2×C4×C139—21no—
233C2×C4×C139—21no—
234C2×C4×C139—21no—
235C2×C4×C139—21no—
236C2×C4×C139—21no—
237C2×C4×C139—21no—
238C2×C4×C139—21no—
239C2×C4×C139—21no—
240C2×C4×C139—22no—
241C2×C4×C139—21no—
242C2×C4×C139—21no—
243C2×C4×C139—22no—
244C2×C4×C139—22no—
245C2×C4×C139—22no—
246C2×C4×C139—21no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—21no—
250C2×C4×C139—41no—
251C2×C4×C139—41no—
252C2×C4×C139—41no—
253C2×C4×C139—41no—
254C2×C4×C139—41no—
255C2×C4×C139—41no—
256C2×C4×C139—41no—
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—84no—
268C2×C4×C139C22⋊Q812yes—
269C2×C4×C139C22⋊Q812yes—
270C2×C4×C139AGL(1,ℤ/8)12yes—
271C2×C4×C139#13712yes—
272C2×C4×C139C22×D411yescharacteristic
273C2×C4×C139C22×Q811yescharacteristic
274C2×C4×C139C2×#4111yescharacteristic
275C2×C4×C139C2×#4111yescharacteristic
276C2×C4×C139H(5,𝔽2)11yescharacteristic
277C2×C4×C1392−1+411yescharacteristic
278C8×C139—22no—
279C8×C139—41no—
280C8×C139—41no—
281C8×C139—41no—
282C22×C139—42no—
283C22×C139—42no—
284C22×C139—42no—
285C22×C139—81no—
286C22×C139—81no—
287C22×C139—81no—
288C22×C139—81no—
289C22×C139C2×C22⋊Q811yescharacteristic
290C22×C139D4211yescharacteristic
291C22×C139#54811yescharacteristic
292C22×C139C2×AGL(1,ℤ/8)11yescharacteristic
293C22×C139C2×#13711yescharacteristic
294C22×C139#57611yescharacteristic
295C22×C139#57811yescharacteristic
296C4×C139—22no—
297C4×C139—22no—
298C4×C139—22no—
299C4×C139—22no—
300C4×C139—42no—
301C4×C139—42no—
302C4×C139—41no—
303C4×C139—42no—
304C4×C139—42no—
305C4×C139—41no—
306C4×C139—81no—
307C4×C139—81no—
308C4×C139—81no—
309C4×C139#53211yescharacteristic
310C4×C139#54211yescharacteristic
311C4×C139D4×Q811yescharacteristic
312C4×C139#55411yescharacteristic
313C2×C139—82no—
314C2×C139#245211yescharacteristic
315C2×C139#307911yescharacteristic
316C2×C139#308311yescharacteristic
317C2×C139#326411yescharacteristic
318C2×C139#327011yescharacteristic
319C2×C139#336711yescharacteristic
320C2×C139#337511yescharacteristic
321#26478C13911yesmaximal, characteristic, direct product factor, Sylow
322C139#2647811yescharacteristic, direct product factor, Sylow
323C2×#477C2×C13911yescharacteristic, complemented
324C2×#474C2×C13911yescharacteristic
325#2551C2×C13911yescharacteristic, complemented
326#2367C2×C13911yescharacteristic
327#2066C2×C13911yescharacteristic, complemented
328#2065C2×C13911yescharacteristic
329#2024C2×C13911yescharacteristic, complemented
330#2023C2×C13911yescharacteristic
331#1983C2×C13911yescharacteristic
332#1959C2×C13911yescharacteristic
333#1947C2×C13911yescharacteristic, complemented
334#1940C2×C13911yescharacteristic, complemented
335#1863C2×C13911yescharacteristic, complemented
336#1862C2×C13911yescharacteristic
337#1776C2×C13911yescharacteristic, complemented
338C2×C4⋊Q8—21no—
339C2×C4⋊Q8C22×C13911yescharacteristic
340C2×C4⋊Q8C22×C13911yescharacteristic
341C2×#124C22×C13911yescharacteristic
342C2×C4×Q8C22×C13911yescharacteristic
343C2×C4×D4C22×C13911yescharacteristic
344#477—24no—
345#474—24no—
346C2×#107C22×C13911yescharacteristic
347C2×#107C22×C13911yescharacteristic
348C2×#107C22×C13911yescharacteristic
349C2×#106C22×C13911yescharacteristic
350C2×C4⋊C8C22×C13911yescharacteristic
351C2×C4⋊C8C22×C13911yescharacteristic
352C2×C4⋊C8C22×C13911yescharacteristic
353C2×#103C22×C13911yescharacteristic
354C2×#103C22×C13911yescharacteristic
355C2×#103C22×C13911yescharacteristic
356C2×#103C22×C13911yescharacteristic
357C2×#102C22×C13911yescharacteristic
358C2×#102C22×C13911yescharacteristic
359C2×#102C22×C13911yescharacteristic
360C2×#102C22×C13911yescharacteristic
361C2×#97C22×C13911yescharacteristic
362#395—21no—
363#395—21no—
364#391C22×C13911yescharacteristic
365#390C22×C13911yescharacteristic
366#389—21no—
367#389C22×C13911yescharacteristic
368#389C22×C13911yescharacteristic
369#388—21no—
370#388—21no—
371#385—21no—
372#384C22×C13911yescharacteristic
373C4×C4⋊C4C22×C13911yescharacteristic
374C4×C4⋊C4C22×C13911yescharacteristic
375C4×C4⋊C4C22×C13911yescharacteristic
376C4×C22⋊C4—21no—
377#340C22×C13911yescharacteristic
378#340C22×C13911yescharacteristic
379#340C22×C13911yescharacteristic
380#340C22×C13911yescharacteristic
381#336C22×C13911yescharacteristic
382#336C22×C13911yescharacteristic
383C22×Q8—21no—
384C22×Q8—21no—
385C22×Q8C23×C13911yescharacteristic
386C22×D4C23×C13911yescharacteristic
387C23×C4—21no—
388C22×C8C23×C13911yescharacteristic
389C22×C8C23×C13911yescharacteristic
390C22×C8C23×C13911yescharacteristic
391C22×C8C23×C13911yescharacteristic
392C4⋊Q8—22no—
393C4⋊Q8—22no—
394C4⋊Q8—41no—
395C4⋊Q8—41no—
396C4⋊Q8—44no—
397#124—22no—
398#124Q8×C13914yescomplemented
399C4×Q8—22no—
400C4×Q8—41no—
401C4×D4—22no—
402C4×D4—41no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4D4×C13911yescharacteristic
411C2×C4⋊C4D4×C13911yescharacteristic
412C2×C4⋊C4C23×C13911yescharacteristic
413C2×C4⋊C4C23×C13911yescharacteristic
414C2×C4⋊C4C23×C13911yescharacteristic
415C2×C4⋊C4C23×C13911yescharacteristic
416C2×C4⋊C4C23×C13911yescharacteristic
417C2×C4⋊C4C23×C13911yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42C23×C13911yescharacteristic
427C2×C42C23×C13911yescharacteristic
428C2×C42C23×C13911yescharacteristic
429#107—22no—
430#107—22no—
431#107D4×C13914yes—
432#106—22no—
433C4⋊C8—22no—
434C4⋊C8—22no—
435C4⋊C8—22no—
436#103—22no—
437#103—22no—
438#103—22no—
439#103—41no—
440#102—22no—
441#102—22no—
442#102—22no—
443#102—41no—
444#97—22no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95D4×C13911yescharacteristic
452#95D4×C13911yescharacteristic
453C24—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—81no—
464C2×Q8—81no—
465C2×Q8C2×Q8×C13912yes—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4C2×Q8×C13912yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—81no—
482C22×C4C2×D4×C13911yescharacteristic
483C22×C4C2×D4×C13911yescharacteristic
484C22×C4C2×D4×C13911yescharacteristic
485C22×C4C2×D4×C13911yescharacteristic
486C22×C4C2×D4×C13911yescharacteristic
487C22×C4C2×D4×C13911yescharacteristic
488C22×C4C24×C13911yescharacteristic
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8C2×D4×C13912yes—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—81no—
519C4⋊C4C2×D4×C13912yes—
520C4⋊C4C2×D4×C13912yes—
521C4⋊C4#41×C13912yes—
522C22⋊C4—24no—
523C22⋊C4—24no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—81no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—42no—
532C42—42no—
533C42—81no—
534C42C2×Q8×C13912yes—
535C42#41×C13912yes—
536C23—22no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23C22×D4×C13911yescharacteristic
544Q8—22no—
545Q8—22no—
546Q8—41no—
547Q8—41no—
548Q8—84no—
549Q8—84no—
550D4—22no—
551D4—22no—
552D4—41no—
553D4—41no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4C22⋊Q8×C13912yes—
591C2×C4C22⋊Q8×C13912yes—
592C2×C4AGL(1,ℤ/8)×C13912yes—
593C2×C4#137×C13912yes—
594C2×C4C22×D4×C13911yescharacteristic
595C2×C4C22×Q8×C13911yescharacteristic
596C2×C4C2×#41×C13911yescharacteristic
597C2×C4C2×#41×C13911yescharacteristic
598C2×C4H(5,𝔽2)×C13911yescharacteristic
599C2×C42−1+4×C13911yescharacteristic
600C8—22no—
601C8—41no—
602C8—41no—
603C8—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22C2×C22⋊Q8×C13911yescharacteristic
612C22D42×C13911yescharacteristic
613C22#548×C13911yescharacteristic
614C22C2×AGL(1,ℤ/8)×C13911yescharacteristic
615C22C2×#137×C13911yescharacteristic
616C22#576×C13911yescharacteristic
617C22#578×C13911yescharacteristic
618C4—22no—
619C4—22no—
620C4—22no—
621C4—22no—
622C4—42no—
623C4—42no—
624C4—41no—
625C4—42no—
626C4—42no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4#532×C13911yescharacteristic
632C4#542×C13911yescharacteristic
633C4D4×Q8×C13911yescharacteristic
634C4#554×C13911yescharacteristic
635C2—82no—
636C2#2452×C13911yescharacteristic
637C2#3079×C13911yescharacteristic
638C2#3083×C13911yescharacteristic
639C2#3264×C13911yescharacteristic
640C2#3270×C13911yescharacteristic
641C2#3367×C13911yescharacteristic
642C2#3375×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radicalC22×D4×C139C23
LCSG ▷ C22×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
1. C2×#477×C139C2semidirect
3. #2551×C139C2semidirect
5. #2066×C139C2semidirect
7. #2024×C139C2semidirect
11. #1947×C139C2semidirect
12. #1940×C139C2semidirect
13. #1863×C139C2semidirect
15. #1776×C139C2semidirect
76. #124×C139Q8semidirect
321. #26478C139direct (N × H)
322. C139#26478direct (N × H)
323. C2×#477C2×C139semidirect
325. #2551C2×C139semidirect
327. #2066C2×C139semidirect
329. #2024C2×C139semidirect
333. #1947C2×C139semidirect
334. #1940C2×C139semidirect
335. #1863C2×C139semidirect
337. #1776C2×C139semidirect
398. #124Q8×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#477×C1392
C2×#474×C1392
#2551×C1392
#2367×C1392
#2066×C1392
#2065×C1392
#2024×C1392
#2023×C1392
#1983×C1392
#1959×C1392
#1947×C1392
#1940×C1392
#1863×C1392
#1862×C1392
#1776×C1392
#26478139