Finite Group Databasebeta

← C139×#34312 #48028908

Subgroups — C139×#34312 #48028908

Order 35584.

2960 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#548×C139C211yesmaximal, characteristic
2C2×#520×C139C211yesmaximal, characteristic, complemented
3C2×#519×C139C211yesmaximal, characteristic, complemented
4#2367×C139C213yesmaximal, complemented
5#2363×C139C213yesmaximal, complemented
6#2360×C139C213yesmaximal, complemented
7#2352×C139C213yesmaximal, complemented
8#2351×C139C211yesmaximal, characteristic, complemented
9#2341×C139C211yesmaximal, characteristic, complemented
10Q8×C22⋊C4×C139C211yesmaximal, characteristic, complemented
11#2324×C139C213yesmaximal, complemented
12#2323×C139C213yesmaximal, complemented
13C4×#124×C139C213yesmaximal, complemented
14#2293×C139C213yesmaximal, complemented
15C42×Q8×C139C211yesmaximal, characteristic, complemented
16C22×#41×C139C2211yescharacteristic
17C23×Q8×C139C2211yescharacteristic
18#548×C139C4116yescomplemented
19C2×#124×C139C2213yes—
20C2×C22⋊Q8×C139C2213yes—
21C2×#121×C139C2213yes—
22#520×C139—28no—
23#519×C139—28no—
24C2×C4×Q8×C139C2211yescharacteristic
25C2×C4×Q8×C139C2213yes—
26C2×C4×Q8×C139C2211yescharacteristic
27C2×C4×Q8×C139C2211yescharacteristic
28C2×C4×Q8×C139C2213yes—
29C2×C4×Q8×C139C2211yescharacteristic
30C2×C4×Q8×C139C2211yescharacteristic
31C2×C4×D4×C139C2213yes—
32C2×C4×D4×C139C2213yes—
33C2×C4×D4×C139C2213yes—
34C2×#117×C139C2213yes—
35C2×#117×C139C2213yes—
36C2×#117×C139C2213yes—
37C22×C4⋊C4×C139C2213yes—
38#391×C139C2213yes—
39#391×C139C2213yes—
40#390×C139C2213yes—
41#390×C139C2213yes—
42#390×C139C2213yes—
43#390×C139C2213yes—
44#389×C139C2213yes—
45#389×C139C2213yes—
46#389×C139C2213yes—
47#389×C139C2213yes—
48#388×C139C2211yescharacteristic
49#388×C139C2213yes—
50#388×C139C2213yes—
51#388×C139C2213yes—
52#388×C139C2216yes—
53#388×C139C2216yes—
54#387×C139C2216yes—
55#386×C139C2216yes—
56#385×C139C2216yes—
57#382×C139C2213yes—
58#380×C139C2213yes—
59#380×C139C2213yes—
60C4×C4⋊C4×C139C2213yes—
61C4×C4⋊C4×C139C2213yes—
62C4×C4⋊C4×C139C2213yes—
63C4×C4⋊C4×C139C2213yes—
64C4×C22⋊C4×C139C2213yes—
65C4×C22⋊C4×C139C2213yes—
66C4×C22⋊C4×C139C2216yes—
67C4×C22⋊C4×C139C2216yes—
68C43×C139C2213yes—
69C2×#41×C139—24no—
70C2×#41×C139—24no—
71C2×#41×C139C2×C418yes—
72C22×Q8×C139—24no—
73C22×Q8×C139—24no—
74C22×Q8×C139C2×C418yescomplemented
75C22×Q8×C139C2313yes—
76C22×Q8×C139C2311yescharacteristic
77C22×D4×C139C2313yes—
78C22×D4×C139C2313yes—
79C23×C4×C139C2313yes—
80C23×C4×C139C2313yes—
81C23×C4×C139C2316yes—
82#124×C139C2×C4124yescomplemented
83C22⋊Q8×C139C2×C4124yescomplemented
84#121×C139C2×C4124yescomplemented
85C4×Q8×C139—24no—
86C4×Q8×C139—24no—
87C4×Q8×C139—24no—
88C4×Q8×C139—212no—
89C4×Q8×C139—212no—
90C4×Q8×C139C2×C418yescomplemented
91C4×Q8×C139D418yescomplemented
92C4×D4×C139—212no—
93C4×D4×C139—212no—
94C4×D4×C139C2×C4124yescomplemented
95#117×C139—212no—
96#117×C139—212no—
97#117×C139—212no—
98C2×C4⋊C4×C139—212no—
99C2×C4⋊C4×C139C2313yes—
100C2×C4⋊C4×C139C2313yes—
101C2×C4⋊C4×C139C2311yescharacteristic
102C2×C4⋊C4×C139C2313yes—
103C2×C4⋊C4×C139C2313yes—
104C2×C4⋊C4×C139C2313yes—
105C2×C4⋊C4×C139C2313yes—
106C2×C4⋊C4×C139C2313yes—
107C2×C4⋊C4×C139C2313yes—
108C2×C4⋊C4×C139C2313yes—
109C2×C4⋊C4×C139C2313yes—
110C2×C4⋊C4×C139C2313yes—
111C2×C22⋊C4×C139C2313yes—
112C2×C22⋊C4×C139C2311yescharacteristic
113C2×C22⋊C4×C139C2313yes—
114C2×C22⋊C4×C139C2313yes—
115C2×C22⋊C4×C139C2311yescharacteristic
116C2×C22⋊C4×C139C2313yes—
117C2×C22⋊C4×C139C2313yes—
118C2×C22⋊C4×C139C2316yes—
119C2×C22⋊C4×C139C2313yes—
120C2×C22⋊C4×C139C2311yescharacteristic
121C2×C22⋊C4×C139C2313yes—
122C2×C22⋊C4×C139C2316yes—
123C2×C42×C139C2313yes—
124C2×C42×C139C2316yes—
125C2×C42×C139C2313yes—
126C2×C42×C139C2313yes—
127C2×C42×C139C2311yescharacteristic
128C2×C42×C139C2313yes—
129C2×C42×C139C2313yes—
130C2×C42×C139C2313yes—
131C2×C42×C139C2313yes—
132C2×C42×C139C2313yes—
133#95×C139C2311yescharacteristic
134#95×C139C2313yes—
135#95×C139C2313yes—
136#95×C139C2313yes—
137#95×C139C2316yes—
138#95×C139C2316yes—
139#95×C139C2313yes—
140#95×C139C2316yes—
141#95×C139C2311yescharacteristic
142C24×C139C2411yescharacteristic
143C24×C139C2413yes—
144#41×C139—232no—
145C2×Q8×C139—232no—
146C2×Q8×C139—26no—
147C2×Q8×C139—26no—
148C2×Q8×C139C22×C4112yes—
149C2×Q8×C139C22×C414yes—
150C2×Q8×C139C2×D414yes—
151C2×Q8×C139#4114yes—
152C2×D4×C139—26no—
153C2×D4×C139—26no—
154C2×D4×C139—43no—
155C2×D4×C139—43no—
156C2×D4×C139C22×C4112yes—
157C2×D4×C139C22×C4112yes—
158C22×C4×C139—26no—
159C22×C4×C139—26no—
160C22×C4×C139—26no—
161C22×C4×C139—26no—
162C22×C4×C139—212no—
163C22×C4×C139—46no—
164C22×C4×C139—46no—
165C22×C4×C139C22×C4112yes—
166C22×C4×C139C22×C4112yes—
167C22×C4×C139C2413yes—
168C22×C4×C139C2413yes—
169C22×C4×C139C2411yescharacteristic
170C22×C4×C139C2413yes—
171C22×C4×C139C2411yescharacteristic
172C22×C4×C139C2411yescharacteristic
173C22×C4×C139C2413yes—
174C22×C4×C139C2413yes—
175C22×C4×C139C2411yescharacteristic
176C22×C4×C139C2413yes—
177C22×C4×C139C2411yescharacteristic
178C22×C4×C139C2411yescharacteristic
179C22×C4×C139C2413yes—
180C4⋊C4×C139—26no—
181C4⋊C4×C139—26no—
182C4⋊C4×C139—22no—
183C4⋊C4×C139—26no—
184C4⋊C4×C139—26no—
185C4⋊C4×C139—26no—
186C4⋊C4×C139—26no—
187C4⋊C4×C139—43no—
188C4⋊C4×C139—43no—
189C4⋊C4×C139C22×C4112yes—
190C4⋊C4×C139C22×C4112yes—
191C4⋊C4×C139C2×D4112yes—
192C22⋊C4×C139—26no—
193C22⋊C4×C139—22no—
194C22⋊C4×C139—26no—
195C22⋊C4×C139—26no—
196C22⋊C4×C139—22no—
197C22⋊C4×C139—26no—
198C22⋊C4×C139—43no—
199C22⋊C4×C139—46no—
200C22⋊C4×C139—43no—
201C22⋊C4×C139C22×C414yes—
202C22⋊C4×C139C22×C4112yes—
203C22⋊C4×C139C22×C4124yes—
204C42×C139—26no—
205C42×C139—212no—
206C42×C139—26no—
207C42×C139—26no—
208C42×C139—22no—
209C42×C139—43no—
210C42×C139—43no—
211C42×C139—43no—
212C42×C139C22×C4112yes—
213C42×C139C2×D4112yes—
214C23×C139—21no—
215C23×C139—23no—
216C23×C139—21no—
217C23×C139—23no—
218C23×C139—21no—
219C23×C139—23no—
220C23×C139—21no—
221C23×C139—23no—
222C23×C139—23no—
223C23×C139—23no—
224C23×C139—21no—
225C23×C139—21no—
226C23×C139C23×C416yes—
227C23×C139C23×C412yes—
228C23×C139C2511yescharacteristic
229Q8×C139—224no—
230Q8×C139C4×D4116yes—
231D4×C139—224no—
232D4×C139—412no—
233C2×C4×C139—23no—
234C2×C4×C139—21no—
235C2×C4×C139—21no—
236C2×C4×C139—21no—
237C2×C4×C139—23no—
238C2×C4×C139—21no—
239C2×C4×C139—21no—
240C2×C4×C139—21no—
241C2×C4×C139—21no—
242C2×C4×C139—21no—
243C2×C4×C139—23no—
244C2×C4×C139—23no—
245C2×C4×C139—23no—
246C2×C4×C139—23no—
247C2×C4×C139—224no—
248C2×C4×C139—224no—
249C2×C4×C139—21no—
250C2×C4×C139—23no—
251C2×C4×C139—21no—
252C2×C4×C139—23no—
253C2×C4×C139—23no—
254C2×C4×C139—21no—
255C2×C4×C139—23no—
256C2×C4×C139—23no—
257C2×C4×C139—23no—
258C2×C4×C139—21no—
259C2×C4×C139—23no—
260C2×C4×C139—23no—
261C2×C4×C139—21no—
262C2×C4×C139—21no—
263C2×C4×C139—23no—
264C2×C4×C139—812no—
265C2×C4×C139C23×C412yes—
266C2×C4×C139C23×C416yes—
267C2×C4×C139C23×C416yes—
268C2×C4×C139C23×C412yes—
269C2×C4×C139C23×C416yes—
270C2×C4×C139C22×D416yes—
271C2×C4×C139C22×D412yes—
272C2×C4×C139C22×D416yes—
273C2×C4×C139C2×#4116yes—
274C2×C4×C1392−1+412yes—
275C22×C139—22no—
276C22×C139—26no—
277C22×C139—22no—
278C22×C139—26no—
279C22×C139—22no—
280C22×C139—26no—
281C22×C139—41no—
282C22×C139—43no—
283C22×C139—43no—
284C22×C139—41no—
285C22×C139—41no—
286C22×C139—43no—
287C22×C139—41no—
288C22×C139—43no—
289C22×C139C24×C411yescharacteristic
290C22×C139C23×D411yescharacteristic
291C22×C139C22×#4111yescharacteristic
292C22×C139C2×2−1+411yescharacteristic
293C22×C139#58511yescharacteristic
294C22×C139#58511yescharacteristic
295C22×C139#58511yescharacteristic
296C4×C139—22no—
297C4×C139—26no—
298C4×C139—26no—
299C4×C139—22no—
300C4×C139—22no—
301C4×C139—26no—
302C4×C139—22no—
303C4×C139—41no—
304C4×C139—43no—
305C4×C139—41no—
306C4×C139—43no—
307C4×C139—43no—
308C4×C139C2×C4×D4112yes—
309C2×C139—42no—
310C2×C139—46no—
311C2×C139C22×C4×D411yescharacteristic
312C2×C139#342811yescharacteristic
313C2×C139C4×2−1+411yescharacteristic
314C2×C139#349711yescharacteristic
315C2×C139#350011yescharacteristic
316C2×C139#351611yescharacteristic
317C2×C139#352411yescharacteristic
318#34312C13911yesmaximal, characteristic, direct product factor, Sylow
319C139#3431211yescharacteristic, direct product factor, Sylow
320C2×#548C2×C13911yescharacteristic
321C2×#520C2×C13911yescharacteristic, complemented
322C2×#519C2×C13911yescharacteristic, complemented
323#2367C2×C13913yescomplemented
324#2363C2×C13913yescomplemented
325#2360C2×C13913yescomplemented
326#2352C2×C13913yescomplemented
327#2351C2×C13911yescharacteristic, complemented
328#2341C2×C13911yescharacteristic, complemented
329Q8×C22⋊C4C2×C13911yescharacteristic, complemented
330#2324C2×C13913yescomplemented
331#2323C2×C13913yescomplemented
332C4×#124C2×C13913yescomplemented
333#2293C2×C13913yescomplemented
334C42×Q8C2×C13911yescharacteristic, complemented
335C22×#41C22×C13911yescharacteristic
336C23×Q8C22×C13911yescharacteristic
337#548C4×C139116yescomplemented
338C2×#124C22×C13913yes—
339C2×C22⋊Q8C22×C13913yes—
340C2×#121C22×C13913yes—
341#520—28no—
342#519—28no—
343C2×C4×Q8C22×C13913yes—
344C2×C4×Q8C22×C13911yescharacteristic
345C2×C4×Q8C22×C13911yescharacteristic
346C2×C4×Q8C22×C13911yescharacteristic
347C2×C4×Q8C22×C13913yes—
348C2×C4×Q8C22×C13911yescharacteristic
349C2×C4×Q8C22×C13911yescharacteristic
350C2×C4×D4C22×C13913yes—
351C2×C4×D4C22×C13913yes—
352C2×C4×D4C22×C13913yes—
353C2×#117C22×C13913yes—
354C2×#117C22×C13913yes—
355C2×#117C22×C13913yes—
356C22×C4⋊C4C22×C13913yes—
357#391C22×C13913yes—
358#391C22×C13913yes—
359#390C22×C13913yes—
360#390C22×C13913yes—
361#390C22×C13913yes—
362#390C22×C13913yes—
363#389C22×C13913yes—
364#389C22×C13913yes—
365#389C22×C13913yes—
366#389C22×C13913yes—
367#388C22×C13916yes—
368#388C22×C13916yes—
369#388C22×C13913yes—
370#388C22×C13913yes—
371#388C22×C13911yescharacteristic
372#388C22×C13913yes—
373#387C22×C13916yes—
374#386C22×C13916yes—
375#385C22×C13916yes—
376#382C22×C13913yes—
377#380C22×C13913yes—
378#380C22×C13913yes—
379C4×C4⋊C4C22×C13913yes—
380C4×C4⋊C4C22×C13913yes—
381C4×C4⋊C4C22×C13913yes—
382C4×C4⋊C4C22×C13913yes—
383C4×C22⋊C4C22×C13913yes—
384C4×C22⋊C4C22×C13913yes—
385C4×C22⋊C4C22×C13916yes—
386C4×C22⋊C4C22×C13916yes—
387C43C22×C13913yes—
388C2×#41—24no—
389C2×#41—24no—
390C2×#41C2×C4×C13918yes—
391C22×Q8—24no—
392C22×Q8—24no—
393C22×Q8C2×C4×C13918yescomplemented
394C22×Q8C23×C13913yes—
395C22×Q8C23×C13911yescharacteristic
396C22×D4C23×C13913yes—
397C22×D4C23×C13913yes—
398C23×C4C23×C13913yes—
399C23×C4C23×C13913yes—
400C23×C4C23×C13916yes—
401#124C2×C4×C139124yescomplemented
402C22⋊Q8C2×C4×C139124yescomplemented
403#121C2×C4×C139124yescomplemented
404C4×Q8—24no—
405C4×Q8—24no—
406C4×Q8—24no—
407C4×Q8—212no—
408C4×Q8—212no—
409C4×Q8C2×C4×C13918yescomplemented
410C4×Q8D4×C13918yescomplemented
411C4×D4—212no—
412C4×D4—212no—
413C4×D4C2×C4×C139124yescomplemented
414#117—212no—
415#117—212no—
416#117—212no—
417C2×C4⋊C4—212no—
418C2×C4⋊C4C23×C13913yes—
419C2×C4⋊C4C23×C13913yes—
420C2×C4⋊C4C23×C13911yescharacteristic
421C2×C4⋊C4C23×C13913yes—
422C2×C4⋊C4C23×C13913yes—
423C2×C4⋊C4C23×C13913yes—
424C2×C4⋊C4C23×C13913yes—
425C2×C4⋊C4C23×C13913yes—
426C2×C4⋊C4C23×C13913yes—
427C2×C4⋊C4C23×C13913yes—
428C2×C4⋊C4C23×C13913yes—
429C2×C4⋊C4C23×C13913yes—
430C2×C22⋊C4C23×C13913yes—
431C2×C22⋊C4C23×C13911yescharacteristic
432C2×C22⋊C4C23×C13913yes—
433C2×C22⋊C4C23×C13913yes—
434C2×C22⋊C4C23×C13911yescharacteristic
435C2×C22⋊C4C23×C13913yes—
436C2×C22⋊C4C23×C13913yes—
437C2×C22⋊C4C23×C13916yes—
438C2×C22⋊C4C23×C13913yes—
439C2×C22⋊C4C23×C13911yescharacteristic
440C2×C22⋊C4C23×C13913yes—
441C2×C22⋊C4C23×C13916yes—
442C2×C42C23×C13913yes—
443C2×C42C23×C13916yes—
444C2×C42C23×C13913yes—
445C2×C42C23×C13913yes—
446C2×C42C23×C13911yescharacteristic
447C2×C42C23×C13913yes—
448C2×C42C23×C13913yes—
449C2×C42C23×C13913yes—
450C2×C42C23×C13913yes—
451C2×C42C23×C13913yes—
452#95C23×C13911yescharacteristic
453#95C23×C13913yes—
454#95C23×C13913yes—
455#95C23×C13913yes—
456#95C23×C13916yes—
457#95C23×C13916yes—
458#95C23×C13913yes—
459#95C23×C13916yes—
460#95C23×C13911yescharacteristic
461C24C24×C13911yescharacteristic
462C24C24×C13913yes—
463#41—232no—
464C2×Q8—232no—
465C2×Q8—26no—
466C2×Q8—26no—
467C2×Q8C22×C4×C139112yes—
468C2×Q8C22×C4×C13914yes—
469C2×Q8C2×D4×C13914yes—
470C2×Q8#41×C13914yes—
471C2×D4—26no—
472C2×D4—26no—
473C2×D4—43no—
474C2×D4—43no—
475C2×D4C22×C4×C139112yes—
476C2×D4C22×C4×C139112yes—
477C22×C4—26no—
478C22×C4—26no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—212no—
482C22×C4—46no—
483C22×C4—46no—
484C22×C4C22×C4×C139112yes—
485C22×C4C22×C4×C139112yes—
486C22×C4C24×C13913yes—
487C22×C4C24×C13913yes—
488C22×C4C24×C13911yescharacteristic
489C22×C4C24×C13913yes—
490C22×C4C24×C13911yescharacteristic
491C22×C4C24×C13911yescharacteristic
492C22×C4C24×C13913yes—
493C22×C4C24×C13913yes—
494C22×C4C24×C13911yescharacteristic
495C22×C4C24×C13913yes—
496C22×C4C24×C13911yescharacteristic
497C22×C4C24×C13911yescharacteristic
498C22×C4C24×C13913yes—
499C4⋊C4—26no—
500C4⋊C4—26no—
501C4⋊C4—22no—
502C4⋊C4—26no—
503C4⋊C4—26no—
504C4⋊C4—26no—
505C4⋊C4—26no—
506C4⋊C4—43no—
507C4⋊C4—43no—
508C4⋊C4C22×C4×C139112yes—
509C4⋊C4C22×C4×C139112yes—
510C4⋊C4C2×D4×C139112yes—
511C22⋊C4—26no—
512C22⋊C4—22no—
513C22⋊C4—26no—
514C22⋊C4—26no—
515C22⋊C4—22no—
516C22⋊C4—26no—
517C22⋊C4—43no—
518C22⋊C4—46no—
519C22⋊C4—43no—
520C22⋊C4C22×C4×C13914yes—
521C22⋊C4C22×C4×C139112yes—
522C22⋊C4C22×C4×C139124yes—
523C42—26no—
524C42—212no—
525C42—26no—
526C42—26no—
527C42—22no—
528C42—43no—
529C42—43no—
530C42—43no—
531C42C22×C4×C139112yes—
532C42C2×D4×C139112yes—
533C23—21no—
534C23—23no—
535C23—21no—
536C23—23no—
537C23—21no—
538C23—23no—
539C23—21no—
540C23—23no—
541C23—23no—
542C23—23no—
543C23—21no—
544C23—21no—
545C23C23×C4×C13916yes—
546C23C23×C4×C13912yes—
547C23C25×C13911yescharacteristic
548Q8—224no—
549Q8C4×D4×C139116yes—
550D4—224no—
551D4—412no—
552C2×C4—23no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—23no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—23no—
563C2×C4—23no—
564C2×C4—23no—
565C2×C4—23no—
566C2×C4—224no—
567C2×C4—224no—
568C2×C4—21no—
569C2×C4—23no—
570C2×C4—21no—
571C2×C4—23no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—23no—
583C2×C4—812no—
584C2×C4C23×C4×C13912yes—
585C2×C4C23×C4×C13916yes—
586C2×C4C23×C4×C13916yes—
587C2×C4C23×C4×C13912yes—
588C2×C4C23×C4×C13916yes—
589C2×C4C22×D4×C13916yes—
590C2×C4C22×D4×C13912yes—
591C2×C4C22×D4×C13916yes—
592C2×C4C2×#41×C13916yes—
593C2×C42−1+4×C13912yes—
594C22—22no—
595C22—26no—
596C22—22no—
597C22—26no—
598C22—22no—
599C22—26no—
600C22—41no—
601C22—43no—
602C22—43no—
603C22—41no—
604C22—41no—
605C22—43no—
606C22—41no—
607C22—43no—
608C22C24×C4×C13911yescharacteristic
609C22C23×D4×C13911yescharacteristic
610C22C22×#41×C13911yescharacteristic
611C22C2×2−1+4×C13911yescharacteristic
612C22#585×C13911yescharacteristic
613C22#585×C13911yescharacteristic
614C22#585×C13911yescharacteristic
615C4—22no—
616C4—26no—
617C4—26no—
618C4—22no—
619C4—22no—
620C4—26no—
621C4—22no—
622C4—41no—
623C4—43no—
624C4—43no—
625C4—41no—
626C4—43no—
627C4C2×C4×D4×C139112yes—
628C2—42no—
629C2—46no—
630C2C22×C4×D4×C13911yescharacteristic
631C2#3428×C13911yescharacteristic
632C2C4×2−1+4×C13911yescharacteristic
633C2#3497×C13911yescharacteristic
634C2#3500×C13911yescharacteristic
635C2#3516×C13911yescharacteristic
636C2#3524×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#548×C139C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#520×C139C2semidirect
3. C2×#519×C139C2semidirect
4. #2367×C139C2semidirect
5. #2363×C139C2semidirect
6. #2360×C139C2semidirect
7. #2352×C139C2semidirect
8. #2351×C139C2semidirect
9. #2341×C139C2semidirect
10. Q8×C22⋊C4×C139C2semidirect
11. #2324×C139C2semidirect
12. #2323×C139C2semidirect
13. C4×#124×C139C2semidirect
14. #2293×C139C2semidirect
15. C42×Q8×C139C2semidirect
18. #548×C139C4semidirect
74. C22×Q8×C139C2×C4semidirect
82. #124×C139C2×C4semidirect
83. C22⋊Q8×C139C2×C4semidirect
84. #121×C139C2×C4semidirect
90. C4×Q8×C139C2×C4semidirect
91. C4×Q8×C139D4semidirect
94. C4×D4×C139C2×C4semidirect
318. #34312C139direct (N × H)
319. C139#34312direct (N × H)
321. C2×#520C2×C139semidirect
322. C2×#519C2×C139semidirect
323. #2367C2×C139semidirect
324. #2363C2×C139semidirect
325. #2360C2×C139semidirect
326. #2352C2×C139semidirect
327. #2351C2×C139semidirect
328. #2341C2×C139semidirect
329. Q8×C22⋊C4C2×C139semidirect
330. #2324C2×C139semidirect
331. #2323C2×C139semidirect
332. C4×#124C2×C139semidirect
333. #2293C2×C139semidirect
334. C42×Q8C2×C139semidirect
337. #548C4×C139semidirect
393. C22×Q8C2×C4×C139semidirect
401. #124C2×C4×C139semidirect
402. C22⋊Q8C2×C4×C139semidirect
403. #121C2×C4×C139semidirect
409. C4×Q8C2×C4×C139semidirect
410. C4×Q8D4×C139semidirect
413. C4×D4C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#548×C1392
C2×#520×C1392
C2×#519×C1392
#2367×C1392
#2363×C1392
#2360×C1392
#2352×C1392
#2351×C1392
#2341×C1392
Q8×C22⋊C4×C1392
#2324×C1392
#2323×C1392
C4×#124×C1392
#2293×C1392
C42×Q8×C1392
#34312139