Finite Group Databasebeta

← C139×#36433 #48031029

Subgroups — C139×#36433 #48031029

Order 35584.

2644 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#550×C139C211yesmaximal, characteristic
2C2×C4×#41×C139C211yesmaximal, characteristic, complemented
3#2854×C139C213yesmaximal, complemented
4#2500×C139C213yesmaximal, complemented
5#2485×C139C213yesmaximal, complemented
6#2445×C139C213yesmaximal, complemented
7#2445×C139C213yesmaximal, complemented
8#2422×C139C213yesmaximal, complemented
9#2420×C139C213yesmaximal, complemented
10#2351×C139C211yesmaximal, characteristic, complemented
11Q8×C4⋊C4×C139C211yesmaximal, characteristic, complemented
12#2341×C139C211yesmaximal, characteristic, complemented
13#2341×C139C211yesmaximal, characteristic, complemented
14#2341×C139C211yesmaximal, characteristic, complemented
15C4×#123×C139C213yesmaximal, complemented
16C22×#41×C139C2211yescharacteristic
17C22×#41×C139C2211yescharacteristic
18#550×C139—28no—
19C2×#127×C139C2213yes—
20C2×#123×C139C2213yes—
21C2×#123×C139C2216yes—
22C2×#121×C139C2213yes—
23C2×#121×C139C2213yes—
24C4×#41×C139—28no—
25C2×C4×Q8×C139C2211yescharacteristic
26C2×C4×Q8×C139C2211yescharacteristic
27C2×C4×Q8×C139C2211yescharacteristic
28C2×C4×Q8×C139C2211yescharacteristic
29C2×C4×Q8×C139C2211yescharacteristic
30C2×C4×D4×C139C2213yes—
31C2×C4×D4×C139C2213yes—
32C2×C4×D4×C139C2213yes—
33C2×#117×C139C2213yes—
34C22×C42×C139C2213yes—
35#397×C139C2216yes—
36#394×C139C2216yes—
37#394×C139C2216yes—
38#394×C139C2216yes—
39#390×C139C2213yes—
40#390×C139C2213yes—
41#390×C139C2213yes—
42#390×C139C2213yes—
43#390×C139C2213yes—
44#390×C139C2213yes—
45#389×C139C2213yes—
46#389×C139C2213yes—
47#389×C139C2213yes—
48#389×C139C2213yes—
49#388×C139C2213yes—
50#388×C139C2213yes—
51#388×C139C2216yes—
52#387×C139C2211yescharacteristic
53#387×C139C2213yes—
54#386×C139C2213yes—
55#386×C139C2216yes—
56#385×C139C2213yes—
57#384×C139C2213yes—
58#382×C139C2213yes—
59#381×C139C2213yes—
60#380×C139C2213yes—
61#380×C139C2213yes—
62#380×C139C2213yes—
63C4×C4⋊C4×C139C2213yes—
64C4×C4⋊C4×C139C2213yes—
65C4×C22⋊C4×C139C2213yes—
66C4×C22⋊C4×C139C2213yes—
67C4×C22⋊C4×C139C2213yes—
68C2×#41×C139—24no—
69C2×#41×C139—24no—
70C2×#41×C139—24no—
71C2×#41×C139—24no—
72C2×#41×C139—24no—
73C2×#41×C139D418yes—
74C22×Q8×C139C2311yescharacteristic
75C22×D4×C139C2313yes—
76C22×D4×C139C2313yes—
77C22×D4×C139C2313yes—
78C22×D4×C139C2316yes—
79C23×C4×C139C2313yes—
80C23×C4×C139C2313yes—
81C23×C4×C139C2313yes—
82C23×C4×C139C2313yes—
83#127×C139—212no—
84#123×C139—212no—
85#123×C139—412no—
86#121×C139—212no—
87#121×C139—212no—
88C4×Q8×C139—24no—
89C4×Q8×C139—24no—
90C4×Q8×C139—24no—
91C4×Q8×C139—24no—
92C4×Q8×C139—24no—
93C4×D4×C139—212no—
94C4×D4×C139—212no—
95C4×D4×C139—212no—
96#117×C139—212no—
97C2×C4⋊C4×C139C2313yes—
98C2×C4⋊C4×C139C2313yes—
99C2×C4⋊C4×C139C2311yescharacteristic
100C2×C4⋊C4×C139C2313yes—
101C2×C4⋊C4×C139C2313yes—
102C2×C4⋊C4×C139C2313yes—
103C2×C4⋊C4×C139C2313yes—
104C2×C4⋊C4×C139C2313yes—
105C2×C4⋊C4×C139C2316yes—
106C2×C4⋊C4×C139C2313yes—
107C2×C4⋊C4×C139C2311yescharacteristic
108C2×C22⋊C4×C139C2313yes—
109C2×C22⋊C4×C139C2316yes—
110C2×C22⋊C4×C139C2313yes—
111C2×C22⋊C4×C139C2313yes—
112C2×C22⋊C4×C139C2313yes—
113C2×C22⋊C4×C139C2313yes—
114C2×C22⋊C4×C139C2313yes—
115C2×C22⋊C4×C139C2316yes—
116C2×C22⋊C4×C139C2316yes—
117C2×C22⋊C4×C139C2313yes—
118C2×C22⋊C4×C139C2313yes—
119C2×C22⋊C4×C139C2316yes—
120C2×C42×C139—212no—
121C2×C42×C139C2311yescharacteristic
122C2×C42×C139C2313yes—
123C2×C42×C139C2313yes—
124C2×C42×C139C2313yes—
125C2×C42×C139C2313yes—
126C2×C42×C139C2313yes—
127C2×C42×C139C2313yes—
128#95×C139C2313yes—
129#95×C139C2313yes—
130#95×C139C2316yes—
131#95×C139C2311yescharacteristic
132#95×C139C2311yescharacteristic
133#95×C139C2311yescharacteristic
134#95×C139C2313yes—
135#95×C139C2311yescharacteristic
136#95×C139C2313yes—
137#95×C139C2313yes—
138#95×C139C2313yes—
139C24×C139C2413yes—
140C24×C139C2413yes—
141#41×C139—232no—
142#41×C139—416no—
143C2×Q8×C139C2×D414yes—
144C2×Q8×C139#4114yes—
145C2×Q8×C139#4114yes—
146C2×D4×C139—26no—
147C2×D4×C139—212no—
148C2×D4×C139—26no—
149C2×D4×C139—26no—
150C2×D4×C139—26no—
151C2×D4×C139—26no—
152C2×D4×C139—26no—
153C2×D4×C139—26no—
154C2×D4×C139—43no—
155C2×D4×C139—46no—
156C2×D4×C139—46no—
157C2×D4×C139C2×D4112yes—
158C22×C4×C139—26no—
159C22×C4×C139—26no—
160C22×C4×C139—26no—
161C22×C4×C139—26no—
162C22×C4×C139—26no—
163C22×C4×C139—26no—
164C22×C4×C139—26no—
165C22×C4×C139—26no—
166C22×C4×C139—26no—
167C22×C4×C139—43no—
168C22×C4×C139—43no—
169C22×C4×C139C2×D4112yes—
170C22×C4×C139C2411yescharacteristic
171C22×C4×C139C2411yescharacteristic
172C22×C4×C139C2413yes—
173C22×C4×C139C2413yes—
174C22×C4×C139C2413yes—
175C22×C4×C139C2413yes—
176C22×C4×C139C2413yes—
177C22×C4×C139C2411yescharacteristic
178C22×C4×C139C2411yescharacteristic
179C22×C4×C139C2411yescharacteristic
180C22×C4×C139C2411yescharacteristic
181C22×C4×C139C2411yescharacteristic
182C22×C4×C139C2413yes—
183C4⋊C4×C139—26no—
184C4⋊C4×C139—26no—
185C4⋊C4×C139—22no—
186C4⋊C4×C139—26no—
187C4⋊C4×C139—26no—
188C4⋊C4×C139—26no—
189C4⋊C4×C139—26no—
190C4⋊C4×C139—26no—
191C4⋊C4×C139—43no—
192C4⋊C4×C139—46no—
193C4⋊C4×C139#4114yescomplemented
194C22⋊C4×C139—212no—
195C22⋊C4×C139—26no—
196C22⋊C4×C139—26no—
197C22⋊C4×C139—26no—
198C22⋊C4×C139—26no—
199C22⋊C4×C139—26no—
200C22⋊C4×C139—26no—
201C22⋊C4×C139—43no—
202C22⋊C4×C139—46no—
203C22⋊C4×C139—43no—
204C22⋊C4×C139—46no—
205C22⋊C4×C139—46no—
206C42×C139—22no—
207C42×C139—26no—
208C42×C139—26no—
209C42×C139—26no—
210C42×C139—26no—
211C42×C139—26no—
212C42×C139—26no—
213C23×C139—23no—
214C23×C139—23no—
215C23×C139—23no—
216C23×C139—23no—
217C23×C139—23no—
218C23×C139—23no—
219C23×C139—23no—
220C23×C139—23no—
221C23×C139—23no—
222C23×C139—23no—
223C23×C139—23no—
224C23×C139—23no—
225C23×C139—23no—
226C23×C139C22×D416yes—
227C23×C139C2511yescharacteristic
228Q8×C139#123116yescomplemented
229D4×C139—224no—
230D4×C139—412no—
231D4×C139—412no—
232D4×C139—812no—
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—21no—
241C2×C4×C139—21no—
242C2×C4×C139—21no—
243C2×C4×C139—224no—
244C2×C4×C139—23no—
245C2×C4×C139—23no—
246C2×C4×C139—23no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—23no—
250C2×C4×C139—23no—
251C2×C4×C139—23no—
252C2×C4×C139—23no—
253C2×C4×C139—21no—
254C2×C4×C139—21no—
255C2×C4×C139—23no—
256C2×C4×C139—23no—
257C2×C4×C139—23no—
258C2×C4×C139—23no—
259C2×C4×C139—23no—
260C2×C4×C139—21no—
261C2×C4×C139—21no—
262C2×C4×C139—23no—
263C2×C4×C139—23no—
264C2×C4×C139—23no—
265C2×C4×C139—412no—
266C2×C4×C139—412no—
267C2×C4×C139—412no—
268C2×C4×C139C22×D412yes—
269C2×C4×C139C22×D416yes—
270C2×C4×C139C2×#4112yes—
271C2×C4×C139C2×#4112yes—
272C2×C4×C139C2×#4112yes—
273C2×C4×C139C2×#4116yes—
274C2×C4×C139C2×#4116yes—
275C2×C4×C139H(5,𝔽2)12yes—
276C22×C139—26no—
277C22×C139—26no—
278C22×C139—26no—
279C22×C139—43no—
280C22×C139—43no—
281C22×C139—43no—
282C22×C139—43no—
283C22×C139—43no—
284C22×C139—43no—
285C22×C139—43no—
286C22×C139—43no—
287C22×C139—43no—
288C22×C139—43no—
289C22×C139—43no—
290C22×C139C23×D411yescharacteristic
291C22×C139C22×#4111yescharacteristic
292C22×C139C22×#4111yescharacteristic
293C22×C139C22×#4111yescharacteristic
294C22×C139C2×H(5,𝔽2)11yescharacteristic
295C22×C139#58511yescharacteristic
296C22×C139#58511yescharacteristic
297C4×C139—22no—
298C4×C139—22no—
299C4×C139—22no—
300C4×C139—22no—
301C4×C139—22no—
302C4×C139—41no—
303C4×C139—43no—
304C4×C139—43no—
305C4×C139—43no—
306C4×C139—43no—
307C4×C139—43no—
308C4×C139—41no—
309C4×C139C2×#123112yes—
310C2×C139—46no—
311C2×C139—83no—
312C2×C139C22×#12311yescharacteristic
313C2×C139D4×#4111yescharacteristic
314C2×C139#348011yescharacteristic
315C2×C139#348311yescharacteristic
316C2×C139#348811yescharacteristic
317C2×C139#351711yescharacteristic
318C2×C139#352411yescharacteristic
319#36433C13911yesmaximal, characteristic, direct product factor, Sylow
320C139#3643311yescharacteristic, direct product factor, Sylow
321C2×#550C2×C13911yescharacteristic
322C2×C4×#41C2×C13911yescharacteristic, complemented
323#2854C2×C13913yescomplemented
324#2500C2×C13913yescomplemented
325#2485C2×C13913yescomplemented
326#2445C2×C13913yescomplemented
327#2445C2×C13913yescomplemented
328#2422C2×C13913yescomplemented
329#2420C2×C13913yescomplemented
330#2351C2×C13911yescharacteristic, complemented
331Q8×C4⋊C4C2×C13911yescharacteristic, complemented
332#2341C2×C13911yescharacteristic, complemented
333#2341C2×C13911yescharacteristic, complemented
334#2341C2×C13911yescharacteristic, complemented
335C4×#123C2×C13913yescomplemented
336C22×#41C22×C13911yescharacteristic
337C22×#41C22×C13911yescharacteristic
338#550—28no—
339C2×#127C22×C13913yes—
340C2×#123C22×C13913yes—
341C2×#123C22×C13916yes—
342C2×#121C22×C13913yes—
343C2×#121C22×C13913yes—
344C4×#41—28no—
345C2×C4×Q8C22×C13911yescharacteristic
346C2×C4×Q8C22×C13911yescharacteristic
347C2×C4×Q8C22×C13911yescharacteristic
348C2×C4×Q8C22×C13911yescharacteristic
349C2×C4×Q8C22×C13911yescharacteristic
350C2×C4×D4C22×C13913yes—
351C2×C4×D4C22×C13913yes—
352C2×C4×D4C22×C13913yes—
353C2×#117C22×C13913yes—
354C22×C42C22×C13913yes—
355#397C22×C13916yes—
356#394C22×C13916yes—
357#394C22×C13916yes—
358#394C22×C13916yes—
359#390C22×C13913yes—
360#390C22×C13913yes—
361#390C22×C13913yes—
362#390C22×C13913yes—
363#390C22×C13913yes—
364#390C22×C13913yes—
365#389C22×C13913yes—
366#389C22×C13913yes—
367#389C22×C13913yes—
368#389C22×C13913yes—
369#388C22×C13913yes—
370#388C22×C13916yes—
371#388C22×C13913yes—
372#387C22×C13913yes—
373#387C22×C13911yescharacteristic
374#386C22×C13916yes—
375#386C22×C13913yes—
376#385C22×C13913yes—
377#384C22×C13913yes—
378#382C22×C13913yes—
379#381C22×C13913yes—
380#380C22×C13913yes—
381#380C22×C13913yes—
382#380C22×C13913yes—
383C4×C4⋊C4C22×C13913yes—
384C4×C4⋊C4C22×C13913yes—
385C4×C22⋊C4C22×C13913yes—
386C4×C22⋊C4C22×C13913yes—
387C4×C22⋊C4C22×C13913yes—
388C2×#41—24no—
389C2×#41—24no—
390C2×#41—24no—
391C2×#41—24no—
392C2×#41—24no—
393C2×#41D4×C13918yes—
394C22×Q8C23×C13911yescharacteristic
395C22×D4C23×C13913yes—
396C22×D4C23×C13913yes—
397C22×D4C23×C13913yes—
398C22×D4C23×C13916yes—
399C23×C4C23×C13913yes—
400C23×C4C23×C13913yes—
401C23×C4C23×C13913yes—
402C23×C4C23×C13913yes—
403#127—212no—
404#123—212no—
405#123—412no—
406#121—212no—
407#121—212no—
408C4×Q8—24no—
409C4×Q8—24no—
410C4×Q8—24no—
411C4×Q8—24no—
412C4×Q8—24no—
413C4×D4—212no—
414C4×D4—212no—
415C4×D4—212no—
416#117—212no—
417C2×C4⋊C4C23×C13913yes—
418C2×C4⋊C4C23×C13913yes—
419C2×C4⋊C4C23×C13911yescharacteristic
420C2×C4⋊C4C23×C13913yes—
421C2×C4⋊C4C23×C13913yes—
422C2×C4⋊C4C23×C13913yes—
423C2×C4⋊C4C23×C13913yes—
424C2×C4⋊C4C23×C13913yes—
425C2×C4⋊C4C23×C13916yes—
426C2×C4⋊C4C23×C13913yes—
427C2×C4⋊C4C23×C13911yescharacteristic
428C2×C22⋊C4C23×C13916yes—
429C2×C22⋊C4C23×C13913yes—
430C2×C22⋊C4C23×C13913yes—
431C2×C22⋊C4C23×C13913yes—
432C2×C22⋊C4C23×C13913yes—
433C2×C22⋊C4C23×C13913yes—
434C2×C22⋊C4C23×C13913yes—
435C2×C22⋊C4C23×C13916yes—
436C2×C22⋊C4C23×C13916yes—
437C2×C22⋊C4C23×C13913yes—
438C2×C22⋊C4C23×C13913yes—
439C2×C22⋊C4C23×C13916yes—
440C2×C42—212no—
441C2×C42C23×C13913yes—
442C2×C42C23×C13913yes—
443C2×C42C23×C13913yes—
444C2×C42C23×C13913yes—
445C2×C42C23×C13913yes—
446C2×C42C23×C13913yes—
447C2×C42C23×C13911yescharacteristic
448#95C23×C13911yescharacteristic
449#95C23×C13911yescharacteristic
450#95C23×C13911yescharacteristic
451#95C23×C13913yes—
452#95C23×C13913yes—
453#95C23×C13913yes—
454#95C23×C13911yescharacteristic
455#95C23×C13913yes—
456#95C23×C13913yes—
457#95C23×C13913yes—
458#95C23×C13916yes—
459C24C24×C13913yes—
460C24C24×C13913yes—
461#41—232no—
462#41—416no—
463C2×Q8C2×D4×C13914yes—
464C2×Q8#41×C13914yes—
465C2×Q8#41×C13914yes—
466C2×D4—26no—
467C2×D4—212no—
468C2×D4—26no—
469C2×D4—26no—
470C2×D4—26no—
471C2×D4—26no—
472C2×D4—26no—
473C2×D4—26no—
474C2×D4—43no—
475C2×D4—46no—
476C2×D4—46no—
477C2×D4C2×D4×C139112yes—
478C22×C4—26no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—26no—
482C22×C4—26no—
483C22×C4—26no—
484C22×C4—26no—
485C22×C4—26no—
486C22×C4—26no—
487C22×C4—43no—
488C22×C4—43no—
489C22×C4C2×D4×C139112yes—
490C22×C4C24×C13911yescharacteristic
491C22×C4C24×C13911yescharacteristic
492C22×C4C24×C13913yes—
493C22×C4C24×C13913yes—
494C22×C4C24×C13913yes—
495C22×C4C24×C13913yes—
496C22×C4C24×C13913yes—
497C22×C4C24×C13911yescharacteristic
498C22×C4C24×C13911yescharacteristic
499C22×C4C24×C13911yescharacteristic
500C22×C4C24×C13911yescharacteristic
501C22×C4C24×C13911yescharacteristic
502C22×C4C24×C13913yes—
503C4⋊C4—26no—
504C4⋊C4—26no—
505C4⋊C4—22no—
506C4⋊C4—26no—
507C4⋊C4—26no—
508C4⋊C4—26no—
509C4⋊C4—26no—
510C4⋊C4—26no—
511C4⋊C4—43no—
512C4⋊C4—46no—
513C4⋊C4#41×C13914yescomplemented
514C22⋊C4—212no—
515C22⋊C4—26no—
516C22⋊C4—26no—
517C22⋊C4—26no—
518C22⋊C4—26no—
519C22⋊C4—26no—
520C22⋊C4—26no—
521C22⋊C4—43no—
522C22⋊C4—46no—
523C22⋊C4—43no—
524C22⋊C4—46no—
525C22⋊C4—46no—
526C42—22no—
527C42—26no—
528C42—26no—
529C42—26no—
530C42—26no—
531C42—26no—
532C42—26no—
533C23—23no—
534C23—23no—
535C23—23no—
536C23—23no—
537C23—23no—
538C23—23no—
539C23—23no—
540C23—23no—
541C23—23no—
542C23—23no—
543C23—23no—
544C23—23no—
545C23—23no—
546C23C22×D4×C13916yes—
547C23C25×C13911yescharacteristic
548Q8#123×C139116yescomplemented
549D4—224no—
550D4—412no—
551D4—412no—
552D4—812no—
553C2×C4—21no—
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—21no—
563C2×C4—224no—
564C2×C4—23no—
565C2×C4—23no—
566C2×C4—23no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—23no—
570C2×C4—23no—
571C2×C4—23no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—23no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—23no—
585C2×C4—412no—
586C2×C4—412no—
587C2×C4—412no—
588C2×C4C22×D4×C13912yes—
589C2×C4C22×D4×C13916yes—
590C2×C4C2×#41×C13912yes—
591C2×C4C2×#41×C13912yes—
592C2×C4C2×#41×C13912yes—
593C2×C4C2×#41×C13916yes—
594C2×C4C2×#41×C13916yes—
595C2×C4H(5,𝔽2)×C13912yes—
596C22—26no—
597C22—26no—
598C22—26no—
599C22—43no—
600C22—43no—
601C22—43no—
602C22—43no—
603C22—43no—
604C22—43no—
605C22—43no—
606C22—43no—
607C22—43no—
608C22—43no—
609C22—43no—
610C22C23×D4×C13911yescharacteristic
611C22C22×#41×C13911yescharacteristic
612C22C22×#41×C13911yescharacteristic
613C22C22×#41×C13911yescharacteristic
614C22C2×H(5,𝔽2)×C13911yescharacteristic
615C22#585×C13911yescharacteristic
616C22#585×C13911yescharacteristic
617C4—22no—
618C4—22no—
619C4—22no—
620C4—22no—
621C4—22no—
622C4—41no—
623C4—43no—
624C4—43no—
625C4—43no—
626C4—43no—
627C4—43no—
628C4—41no—
629C4C2×#123×C139112yes—
630C2—46no—
631C2—83no—
632C2C22×#123×C13911yescharacteristic
633C2D4×#41×C13911yescharacteristic
634C2#3480×C13911yescharacteristic
635C2#3483×C13911yescharacteristic
636C2#3488×C13911yescharacteristic
637C2#3517×C13911yescharacteristic
638C2#3524×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC2×#550×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×#41×C139C2semidirect
3. #2854×C139C2semidirect
4. #2500×C139C2semidirect
5. #2485×C139C2semidirect
6. #2445×C139C2semidirect
7. #2445×C139C2semidirect
8. #2422×C139C2semidirect
9. #2420×C139C2semidirect
10. #2351×C139C2semidirect
11. Q8×C4⋊C4×C139C2semidirect
12. #2341×C139C2semidirect
13. #2341×C139C2semidirect
14. #2341×C139C2semidirect
15. C4×#123×C139C2semidirect
193. C4⋊C4×C139#41semidirect
228. Q8×C139#123semidirect
319. #36433C139direct (N × H)
320. C139#36433direct (N × H)
322. C2×C4×#41C2×C139semidirect
323. #2854C2×C139semidirect
324. #2500C2×C139semidirect
325. #2485C2×C139semidirect
326. #2445C2×C139semidirect
327. #2445C2×C139semidirect
328. #2422C2×C139semidirect
329. #2420C2×C139semidirect
330. #2351C2×C139semidirect
331. Q8×C4⋊C4C2×C139semidirect
332. #2341C2×C139semidirect
333. #2341C2×C139semidirect
334. #2341C2×C139semidirect
335. C4×#123C2×C139semidirect
513. C4⋊C4#41×C139semidirect
548. Q8#123×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#550×C1392
C2×C4×#41×C1392
#2854×C1392
#2500×C1392
#2485×C1392
#2445×C1392
#2422×C1392
#2420×C1392
#2351×C1392
Q8×C4⋊C4×C1392
#2341×C1392
C4×#123×C1392
#36433139