Finite Group Databasebeta

← C139×#37278 #48031874

Subgroups — C139×#37278 #48031874

Order 35584.

2724 conjugacy classes of subgroups.

The subgroup lattice has 1294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#535×C139C211yesmaximal, characteristic, complemented
2C2×#529×C139C211yesmaximal, characteristic, complemented
3#2856×C139C211yesmaximal, characteristic, complemented
4#2850×C139C211yesmaximal, characteristic, complemented
5#2714×C139C212yesmaximal, complemented
6#2711×C139C212yesmaximal, complemented
7#2685×C139C212yesmaximal, complemented
8#2678×C139C212yesmaximal, complemented
9#2676×C139C212yesmaximal, complemented
10#2673×C139C212yesmaximal, complemented
11#2670×C139C212yesmaximal, complemented
12#2669×C139C212yesmaximal, complemented
13#2620×C139C211yesmaximal, characteristic, complemented
14#2619×C139C211yesmaximal, characteristic, complemented
15#2592×C139C211yesmaximal, characteristic, complemented
16#2548×C139C211yesmaximal, characteristic, complemented
17#2541×C139C211yesmaximal, characteristic, complemented
18#2540×C139C211yesmaximal, characteristic, complemented
19#2408×C139C211yesmaximal, characteristic, complemented
20#2408×C139C211yesmaximal, characteristic, complemented
21#2407×C139C211yesmaximal, characteristic, complemented
22#2407×C139C211yesmaximal, characteristic, complemented
23#2314×C139C211yesmaximal, characteristic, complemented
24C22×#41×C139C2211yescharacteristic
25C23×D4×C139C2211yescharacteristic
26#535×C139—28no—
27C2×#127×C139C2211yescharacteristic
28C2×#127×C139C2211yescharacteristic
29C2×#127×C139C2212yescomplemented
30#529×C139—28no—
31C2×#126×C139C2211yescharacteristic
32C2×#126×C139C2211yescharacteristic, complemented
33C2×#125×C139C2211yescharacteristic, complemented
34C2×#124×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36C2×#124×C139C2211yescharacteristic
37C2×#124×C139C2212yescomplemented
38C2×#123×C139C2211yescharacteristic
39C2×#123×C139C2211yescharacteristic, complemented
40C2×C22⋊Q8×C139C2211yescharacteristic, complemented
41C2×C22⋊Q8×C139C2211yescharacteristic, complemented
42C2×C22⋊Q8×C139C2211yescharacteristic, complemented
43C2×#121×C139C2211yescharacteristic
44C2×#121×C139C2212yes—
45C2×#121×C139C2212yes—
46C2×#121×C139C2211yescharacteristic
47C2×#121×C139C2211yescharacteristic
48C2×#121×C139C2211yescharacteristic
49C2×#121×C139C2211yescharacteristic
50C2×#121×C139C2211yescharacteristic, complemented
51C2×#121×C139C2211yescharacteristic, complemented
52C2×#121×C139C2212yescomplemented
53C2×#121×C139C2212yescomplemented
54C2×#120×C139C2212yes—
55C2×#120×C139C2212yes—
56C2×#120×C139C2212yes—
57C2×#120×C139C2212yes—
58C2×C4×Q8×C139C2211yescharacteristic, complemented
59C2×C4×D4×C139C2211yescharacteristic
60C2×C4×D4×C139C2211yescharacteristic
61C2×C4×D4×C139C2211yescharacteristic, complemented
62C2×#117×C139C2211yescharacteristic
63C2×#117×C139C2211yescharacteristic, complemented
64C22×C42×C139C2211yescharacteristic, complemented
65#399×C139C2212yescomplemented
66#397×C139C2212yescomplemented
67#396×C139C2212yescomplemented
68#396×C139C2212yescomplemented
69#394×C139C2212yes—
70#394×C139C2212yes—
71#394×C139C2212yes—
72#394×C139C2212yes—
73#394×C139C2212yescomplemented
74#394×C139C2212yescomplemented
75#394×C139C2212yescomplemented
76#394×C139C2212yescomplemented
77#394×C139C2212yescomplemented
78#394×C139C2212yescomplemented
79#393×C139C2212yescomplemented
80#392×C139C2212yes—
81#392×C139C2212yes—
82#392×C139C2212yes—
83#392×C139C2212yes—
84#392×C139C2212yescomplemented
85#392×C139C2212yescomplemented
86#392×C139C2212yescomplemented
87#392×C139C2212yescomplemented
88#392×C139C2212yescomplemented
89#391×C139C2211yescharacteristic, complemented
90#391×C139C2211yescharacteristic, complemented
91#390×C139C2211yescharacteristic
92#390×C139C2211yescharacteristic
93#390×C139C2211yescharacteristic
94#390×C139C2211yescharacteristic
95#390×C139C2212yescomplemented
96#390×C139C2212yescomplemented
97#390×C139C2212yescomplemented
98#390×C139C2211yescharacteristic, complemented
99#390×C139C2211yescharacteristic, complemented
100#390×C139C2212yescomplemented
101#390×C139C2212yescomplemented
102#390×C139C2212yescomplemented
103#388×C139C2212yes—
104#388×C139C2212yes—
105#388×C139C2212yescomplemented
106#388×C139C2212yescomplemented
107#388×C139C2212yescomplemented
108#388×C139C2212yescomplemented
109#387×C139C2212yescomplemented
110#387×C139C2212yescomplemented
111#386×C139C2212yescomplemented
112#386×C139C2212yescomplemented
113#386×C139C2212yescomplemented
114#386×C139C2212yescomplemented
115#385×C139C2212yescomplemented
116#385×C139C2212yescomplemented
117#384×C139C2211yescharacteristic, complemented
118#382×C139C2211yescharacteristic, complemented
119#380×C139C2211yescharacteristic
120#380×C139C2211yescharacteristic
121#379×C139C2212yes—
122#379×C139C2212yes—
123C4×C4⋊C4×C139C2211yescharacteristic, complemented
124C4×C4⋊C4×C139C2211yescharacteristic, complemented
125C25×C139C2312yes—
126C2×#41×C139—24no—
127C2×#41×C139—42no—
128C2×#41×C139—42no—
129C22×Q8×C139C2311yescharacteristic
130C22×Q8×C139C2311yescharacteristic
131C22×D4×C139—24no—
132C22×D4×C139—42no—
133C22×D4×C139—42no—
134C22×D4×C139C2311yescharacteristic
135C22×D4×C139C2311yescharacteristic
136C22×D4×C139C2311yescharacteristic
137C22×D4×C139C2311yescharacteristic
138C22×D4×C139C2311yescharacteristic
139C22×D4×C139C2311yescharacteristic
140C22×D4×C139C2312yes—
141C22×D4×C139C2312yes—
142C22×D4×C139C2312yes—
143C22×D4×C139C2312yes—
144C22×D4×C139C2312yes—
145C22×D4×C139C2312yes—
146C22×D4×C139C2312yes—
147C22×D4×C139C2312yes—
148C22×D4×C139C2312yes—
149C22×D4×C139C2312yes—
150C22×D4×C139C2312yes—
151C22×D4×C139C2312yes—
152C23×C4×C139C2311yescharacteristic
153C23×C4×C139C2311yescharacteristic
154C23×C4×C139C2311yescharacteristic
155C23×C4×C139C2311yescharacteristic
156C23×C4×C139C2311yescharacteristic
157C23×C4×C139C2312yes—
158#127×C139—24no—
159#127×C139—24no—
160#127×C139—44no—
161#126×C139—24no—
162#126×C139—24no—
163#125×C139—24no—
164#124×C139—24no—
165#124×C139—24no—
166#124×C139—24no—
167#124×C139—44no—
168#123×C139—24no—
169#123×C139—24no—
170C22⋊Q8×C139—24no—
171C22⋊Q8×C139—42no—
172C22⋊Q8×C139—42no—
173#121×C139—28no—
174#121×C139—28no—
175#121×C139—24no—
176#121×C139—44no—
177#121×C139—42no—
178#121×C139—42no—
179#121×C139—42no—
180#121×C139—42no—
181#121×C139—42no—
182#121×C139—42no—
183#121×C139—44no—
184#120×C139—28no—
185#120×C139—28no—
186#120×C139—44no—
187#120×C139—44no—
188C4×Q8×C139—24no—
189C4×D4×C139—24no—
190C4×D4×C139—24no—
191C4×D4×C139—24no—
192#117×C139—24no—
193#117×C139D418yescomplemented
194C2×C4⋊C4×C139C2311yescharacteristic
195C2×C4⋊C4×C139C2311yescharacteristic
196C2×C4⋊C4×C139C2311yescharacteristic
197C2×C4⋊C4×C139C2311yescharacteristic
198C2×C4⋊C4×C139C2311yescharacteristic
199C2×C4⋊C4×C139C2311yescharacteristic
200C2×C4⋊C4×C139C2311yescharacteristic
201C2×C4⋊C4×C139C2311yescharacteristic
202C2×C4⋊C4×C139C2311yescharacteristic
203C2×C4⋊C4×C139C2311yescharacteristic
204C2×C4⋊C4×C139C2311yescharacteristic
205C2×C4⋊C4×C139C2311yescharacteristic
206C2×C4⋊C4×C139C2312yes—
207C2×C4⋊C4×C139C2312yes—
208C2×C4⋊C4×C139C2312yes—
209C2×C4⋊C4×C139C2312yes—
210C2×C4⋊C4×C139C2311yescharacteristic
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C22⋊C4×C139C2312yes—
213C2×C22⋊C4×C139C2312yes—
214C2×C22⋊C4×C139C2312yes—
215C2×C22⋊C4×C139C2312yes—
216C2×C22⋊C4×C139C2311yescharacteristic
217C2×C22⋊C4×C139C2311yescharacteristic
218C2×C22⋊C4×C139C2311yescharacteristic
219C2×C22⋊C4×C139C2311yescharacteristic
220C2×C22⋊C4×C139C2311yescharacteristic
221C2×C22⋊C4×C139C2311yescharacteristic
222C2×C22⋊C4×C139C2311yescharacteristic
223C2×C22⋊C4×C139C2311yescharacteristic
224C2×C22⋊C4×C139C2312yes—
225C2×C22⋊C4×C139C2312yes—
226C2×C22⋊C4×C139C2312yes—
227C2×C22⋊C4×C139C2312yes—
228C2×C22⋊C4×C139C2312yes—
229C2×C22⋊C4×C139C2312yes—
230C2×C22⋊C4×C139C2312yes—
231C2×C22⋊C4×C139C2312yes—
232C2×C22⋊C4×C139C2312yes—
233C2×C22⋊C4×C139C2312yes—
234C2×C22⋊C4×C139C2312yes—
235C2×C22⋊C4×C139C2312yes—
236C2×C22⋊C4×C139C2312yes—
237C2×C22⋊C4×C139C2312yes—
238C2×C22⋊C4×C139C2312yes—
239C2×C22⋊C4×C139C2312yes—
240C2×C22⋊C4×C139C2312yes—
241C2×C22⋊C4×C139C2312yes—
242C2×C22⋊C4×C139C2312yes—
243C2×C22⋊C4×C139C2312yes—
244C2×C22⋊C4×C139C2312yes—
245C2×C22⋊C4×C139C2312yes—
246C2×C22⋊C4×C139C2311yescharacteristic
247C2×C22⋊C4×C139C2311yescharacteristic
248C2×C42×C139—24no—
249C2×C42×C139C2311yescharacteristic
250C2×C42×C139C2311yescharacteristic
251C2×C42×C139C2311yescharacteristic
252C2×C42×C139C2311yescharacteristic
253C2×C42×C139C2312yes—
254C2×C42×C139C2312yes—
255C2×C42×C139C2311yescharacteristic
256C2×C42×C139C2311yescharacteristic
257#95×C139C2312yes—
258#95×C139C2312yes—
259#95×C139C2312yes—
260#95×C139C2312yes—
261#95×C139C2312yes—
262#95×C139C2312yes—
263#95×C139C2312yes—
264#95×C139C2312yes—
265#95×C139C2312yes—
266#95×C139C2312yes—
267C24×C139—24no—
268C24×C139—42no—
269C24×C139—42no—
270C24×C139—42no—
271C24×C139—42no—
272C24×C139—42no—
273C24×C139—42no—
274C24×C139C2412yes—
275C24×C139C2412yes—
276C24×C139C2411yescharacteristic
277C24×C139C2412yes—
278C24×C139C2411yescharacteristic
279C24×C139C2411yescharacteristic
280#41×C139—416no—
281C2×Q8×C139—22no—
282C2×Q8×C139—22no—
283C2×Q8×C139—22no—
284C2×Q8×C139—22no—
285C2×Q8×C139—22no—
286C2×Q8×C139—41no—
287C2×D4×C139—22no—
288C2×D4×C139—22no—
289C2×D4×C139—24no—
290C2×D4×C139—22no—
291C2×D4×C139—22no—
292C2×D4×C139—24no—
293C2×D4×C139—24no—
294C2×D4×C139—24no—
295C2×D4×C139—22no—
296C2×D4×C139—24no—
297C2×D4×C139—22no—
298C2×D4×C139—22no—
299C2×D4×C139—22no—
300C2×D4×C139—24no—
301C2×D4×C139—24no—
302C2×D4×C139—24no—
303C2×D4×C139—24no—
304C2×D4×C139—22no—
305C2×D4×C139—22no—
306C2×D4×C139—22no—
307C2×D4×C139—22no—
308C2×D4×C139—22no—
309C2×D4×C139—22no—
310C2×D4×C139—22no—
311C2×D4×C139—42no—
312C2×D4×C139—42no—
313C2×D4×C139—41no—
314C2×D4×C139—41no—
315C2×D4×C139—41no—
316C2×D4×C139—42no—
317C2×D4×C139—42no—
318C2×D4×C139—416no—
319C2×D4×C139—42no—
320C2×D4×C139—42no—
321C2×D4×C139—42no—
322C2×D4×C139—42no—
323C2×D4×C139—42no—
324C2×D4×C139—42no—
325C2×D4×C139—42no—
326C2×D4×C139—42no—
327C2×D4×C139—42no—
328C2×D4×C139—42no—
329C2×D4×C139—42no—
330C2×D4×C139—42no—
331C2×D4×C139—42no—
332C2×D4×C139—42no—
333C2×D4×C139—42no—
334C2×D4×C139—42no—
335C2×D4×C139—42no—
336C2×D4×C139—42no—
337C2×D4×C139—42no—
338C2×D4×C139—42no—
339C2×D4×C139—42no—
340C2×D4×C139—42no—
341C2×D4×C139—42no—
342C22×C4×C139—22no—
343C22×C4×C139—22no—
344C22×C4×C139—22no—
345C22×C4×C139—22no—
346C22×C4×C139—22no—
347C22×C4×C139—22no—
348C22×C4×C139—22no—
349C22×C4×C139—24no—
350C22×C4×C139—22no—
351C22×C4×C139—22no—
352C22×C4×C139—22no—
353C22×C4×C139—22no—
354C22×C4×C139—22no—
355C22×C4×C139—41no—
356C22×C4×C139—41no—
357C22×C4×C139—42no—
358C22×C4×C139—42no—
359C22×C4×C139C2×D414yes—
360C22×C4×C139C2412yes—
361C22×C4×C139C2412yes—
362C22×C4×C139C2412yes—
363C22×C4×C139C2412yes—
364C22×C4×C139C2411yescharacteristic
365C22×C4×C139C2411yescharacteristic
366C22×C4×C139C2411yescharacteristic
367C22×C4×C139C2412yes—
368C22×C4×C139C2411yescharacteristic
369C22×C4×C139C2411yescharacteristic
370C22×C4×C139C2411yescharacteristic
371C22×C4×C139C2411yescharacteristic
372C22×C4×C139C2411yescharacteristic
373C22×C4×C139C2411yescharacteristic
374C22×C4×C139C2411yescharacteristic
375C22×C4×C139C2411yescharacteristic
376C22×C4×C139C2411yescharacteristic
377C4⋊C4×C139—22no—
378C4⋊C4×C139—22no—
379C4⋊C4×C139—22no—
380C4⋊C4×C139—22no—
381C4⋊C4×C139—22no—
382C4⋊C4×C139—22no—
383C4⋊C4×C139—22no—
384C4⋊C4×C139—22no—
385C4⋊C4×C139—22no—
386C4⋊C4×C139—22no—
387C4⋊C4×C139—22no—
388C4⋊C4×C139—22no—
389C4⋊C4×C139—42no—
390C4⋊C4×C139—42no—
391C4⋊C4×C139—42no—
392C4⋊C4×C139—42no—
393C4⋊C4×C139C2×D414yes—
394C4⋊C4×C139C2×D414yes—
395C22⋊C4×C139—22no—
396C22⋊C4×C139—22no—
397C22⋊C4×C139—22no—
398C22⋊C4×C139—22no—
399C22⋊C4×C139—22no—
400C22⋊C4×C139—22no—
401C22⋊C4×C139—22no—
402C22⋊C4×C139—22no—
403C22⋊C4×C139—24no—
404C22⋊C4×C139—24no—
405C22⋊C4×C139—24no—
406C22⋊C4×C139—24no—
407C22⋊C4×C139—24no—
408C22⋊C4×C139—24no—
409C22⋊C4×C139—24no—
410C22⋊C4×C139—42no—
411C22⋊C4×C139—42no—
412C22⋊C4×C139—42no—
413C22⋊C4×C139—42no—
414C22⋊C4×C139—42no—
415C22⋊C4×C139—42no—
416C22⋊C4×C139—42no—
417C22⋊C4×C139—42no—
418C22⋊C4×C139—42no—
419C22⋊C4×C139—42no—
420C22⋊C4×C139—42no—
421C22⋊C4×C139—42no—
422C22⋊C4×C139—42no—
423C22⋊C4×C139—42no—
424C22⋊C4×C139—42no—
425C22⋊C4×C139—42no—
426C22⋊C4×C139—42no—
427C22⋊C4×C139—42no—
428C22⋊C4×C139—42no—
429C22⋊C4×C139C2×D414yes—
430C22⋊C4×C139C2×D414yes—
431C42×C139—22no—
432C42×C139—22no—
433C42×C139—22no—
434C42×C139—22no—
435C42×C139—42no—
436C42×C139—42no—
437C42×C139C2×D414yes—
438C42×C139C2×D414yes—
439C23×C139—21no—
440C23×C139—21no—
441C23×C139—21no—
442C23×C139—21no—
443C23×C139—21no—
444C23×C139—21no—
445C23×C139—21no—
446C23×C139—21no—
447C23×C139—21no—
448C23×C139—21no—
449C23×C139—21no—
450C23×C139—21no—
451C23×C139—21no—
452C23×C139—22no—
453C23×C139—22no—
454C23×C139—22no—
455C23×C139—22no—
456C23×C139—22no—
457C23×C139—22no—
458C23×C139—21no—
459C23×C139—22no—
460C23×C139—22no—
461C23×C139—22no—
462C23×C139—22no—
463C23×C139—22no—
464C23×C139—22no—
465C23×C139—22no—
466C23×C139—22no—
467C23×C139—22no—
468C23×C139—21no—
469C23×C139—21no—
470C23×C139—21no—
471C23×C139—22no—
472C23×C139—22no—
473C23×C139—22no—
474C23×C139—21no—
475C23×C139—21no—
476C23×C139—22no—
477C23×C139—22no—
478C23×C139—22no—
479C23×C139—48no—
480C23×C139—84no—
481C23×C139—84no—
482C23×C139—84no—
483C23×C139—84no—
484C23×C139—84no—
485C23×C139—84no—
486C23×C139C22×D412yes—
487C23×C139H(5,𝔽2)12yes—
488C23×C139C2511yescharacteristic
489Q8×C139—44no—
490Q8×C139—44no—
491D4×C139—44no—
492D4×C139—44no—
493D4×C139—48no—
494D4×C139—44no—
495D4×C139—48no—
496D4×C139—44no—
497D4×C139—44no—
498D4×C139—44no—
499D4×C139—84no—
500D4×C139—84no—
501D4×C139—84no—
502D4×C139—84no—
503D4×C139—84no—
504D4×C139—84no—
505D4×C139—84no—
506D4×C139—84no—
507D4×C139—84no—
508D4×C139—84no—
509C2×C4×C139—21no—
510C2×C4×C139—21no—
511C2×C4×C139—21no—
512C2×C4×C139—21no—
513C2×C4×C139—21no—
514C2×C4×C139—21no—
515C2×C4×C139—21no—
516C2×C4×C139—21no—
517C2×C4×C139—21no—
518C2×C4×C139—21no—
519C2×C4×C139—21no—
520C2×C4×C139—21no—
521C2×C4×C139—28no—
522C2×C4×C139—21no—
523C2×C4×C139—21no—
524C2×C4×C139—21no—
525C2×C4×C139—21no—
526C2×C4×C139—22no—
527C2×C4×C139—21no—
528C2×C4×C139—22no—
529C2×C4×C139—22no—
530C2×C4×C139—22no—
531C2×C4×C139—22no—
532C2×C4×C139—22no—
533C2×C4×C139—21no—
534C2×C4×C139—21no—
535C2×C4×C139—21no—
536C2×C4×C139—21no—
537C2×C4×C139—21no—
538C2×C4×C139—22no—
539C2×C4×C139—22no—
540C2×C4×C139—22no—
541C2×C4×C139—22no—
542C2×C4×C139—22no—
543C2×C4×C139—21no—
544C2×C4×C139—21no—
545C2×C4×C139—22no—
546C2×C4×C139—22no—
547C2×C4×C139—21no—
548C2×C4×C139—21no—
549C2×C4×C139—22no—
550C2×C4×C139—21no—
551C2×C4×C139—22no—
552C2×C4×C139—44no—
553C2×C4×C139—44no—
554C2×C4×C139—48no—
555C2×C4×C139—44no—
556C2×C4×C139—44no—
557C2×C4×C139C22×D412yes—
558C2×C4×C139C22×D412yes—
559C2×C4×C139C22×D412yes—
560C2×C4×C139C22×D412yes—
561C2×C4×C139C22×D412yes—
562C2×C4×C139C22×D412yes—
563C2×C4×C139H(5,𝔽2)12yes—
564C2×C4×C139H(5,𝔽2)12yes—
565C2×C4×C139H(5,𝔽2)12yes—
566C22×C139—22no—
567C22×C139—22no—
568C22×C139—22no—
569C22×C139—22no—
570C22×C139—22no—
571C22×C139—22no—
572C22×C139—41no—
573C22×C139—41no—
574C22×C139—41no—
575C22×C139—41no—
576C22×C139—41no—
577C22×C139—41no—
578C22×C139—41no—
579C22×C139—41no—
580C22×C139—42no—
581C22×C139—41no—
582C22×C139—42no—
583C22×C139—42no—
584C22×C139—41no—
585C22×C139—41no—
586C22×C139—42no—
587C22×C139—42no—
588C22×C139—42no—
589C22×C139—42no—
590C22×C139—42no—
591C22×C139—42no—
592C22×C139—41no—
593C22×C139—42no—
594C22×C139—42no—
595C22×C139—42no—
596C22×C139—41no—
597C22×C139—42no—
598C22×C139—42no—
599C22×C139—42no—
600C22×C139—41no—
601C22×C139—42no—
602C22×C139—42no—
603C22×C139—42no—
604C22×C139—41no—
605C22×C139—42no—
606C22×C139—42no—
607C22×C139—42no—
608C22×C139—816no—
609C22×C139C23×D411yescharacteristic
610C22×C139C2×H(5,𝔽2)11yescharacteristic
611C22×C139C2×H(5,𝔽2)11yescharacteristic
612C22×C139C2×H(5,𝔽2)11yescharacteristic
613C22×C139C2×H(5,𝔽2)11yescharacteristic
614C22×C139#58511yescharacteristic
615C22×C139#58511yescharacteristic
616C4×C139—22no—
617C4×C139—22no—
618C4×C139—22no—
619C4×C139—22no—
620C4×C139—22no—
621C4×C139—22no—
622C4×C139—41no—
623C4×C139—41no—
624C4×C139—42no—
625C4×C139—41no—
626C4×C139—41no—
627C4×C139—41no—
628C4×C139—42no—
629C4×C139—42no—
630C4×C139—42no—
631C4×C139—42no—
632C4×C139#53514yes—
633C2×C139—42no—
634C2×C139—42no—
635C2×C139—82no—
636C2×C139—81no—
637C2×C139—82no—
638C2×C139—82no—
639C2×C139C2×#53511yescharacteristic
640C2×C139#348811yescharacteristic
641C2×C139#348811yescharacteristic
642C2×C139#354311yescharacteristic
643C2×C139#354611yescharacteristic
644C2×C139#355811yescharacteristic
645C2×C139#356211yescharacteristic
646#37278C13911yesmaximal, characteristic, direct product factor, Sylow
647C139#3727811yescharacteristic, direct product factor, Sylow
648C2×#535C2×C13911yescharacteristic, complemented
649C2×#529C2×C13911yescharacteristic, complemented
650#2856C2×C13911yescharacteristic, complemented
651#2850C2×C13911yescharacteristic, complemented
652#2714C2×C13912yescomplemented
653#2711C2×C13912yescomplemented
654#2685C2×C13912yescomplemented
655#2678C2×C13912yescomplemented
656#2676C2×C13912yescomplemented
657#2673C2×C13912yescomplemented
658#2670C2×C13912yescomplemented
659#2669C2×C13912yescomplemented
660#2620C2×C13911yescharacteristic, complemented
661#2619C2×C13911yescharacteristic, complemented
662#2592C2×C13911yescharacteristic, complemented
663#2548C2×C13911yescharacteristic, complemented
664#2541C2×C13911yescharacteristic, complemented
665#2540C2×C13911yescharacteristic, complemented
666#2408C2×C13911yescharacteristic, complemented
667#2408C2×C13911yescharacteristic, complemented
668#2407C2×C13911yescharacteristic, complemented
669#2407C2×C13911yescharacteristic, complemented
670#2314C2×C13911yescharacteristic, complemented
671C22×#41C22×C13911yescharacteristic
672C23×D4C22×C13911yescharacteristic
673#535—28no—
674C2×#127C22×C13911yescharacteristic
675C2×#127C22×C13911yescharacteristic
676C2×#127C22×C13912yescomplemented
677#529—28no—
678C2×#126C22×C13911yescharacteristic
679C2×#126C22×C13911yescharacteristic, complemented
680C2×#125C22×C13911yescharacteristic, complemented
681C2×#124C22×C13911yescharacteristic
682C2×#124C22×C13911yescharacteristic
683C2×#124C22×C13911yescharacteristic
684C2×#124C22×C13912yescomplemented
685C2×#123C22×C13911yescharacteristic
686C2×#123C22×C13911yescharacteristic, complemented
687C2×C22⋊Q8C22×C13911yescharacteristic, complemented
688C2×C22⋊Q8C22×C13911yescharacteristic, complemented
689C2×C22⋊Q8C22×C13911yescharacteristic, complemented
690C2×#121C22×C13911yescharacteristic
691C2×#121C22×C13912yes—
692C2×#121C22×C13912yes—
693C2×#121C22×C13911yescharacteristic
694C2×#121C22×C13911yescharacteristic
695C2×#121C22×C13911yescharacteristic
696C2×#121C22×C13911yescharacteristic
697C2×#121C22×C13911yescharacteristic, complemented
698C2×#121C22×C13912yescomplemented
699C2×#121C22×C13912yescomplemented
700C2×#121C22×C13911yescharacteristic, complemented
701C2×#120C22×C13912yes—
702C2×#120C22×C13912yes—
703C2×#120C22×C13912yes—
704C2×#120C22×C13912yes—
705C2×C4×Q8C22×C13911yescharacteristic, complemented
706C2×C4×D4C22×C13911yescharacteristic
707C2×C4×D4C22×C13911yescharacteristic
708C2×C4×D4C22×C13911yescharacteristic, complemented
709C2×#117C22×C13911yescharacteristic
710C2×#117C22×C13911yescharacteristic, complemented
711C22×C42C22×C13911yescharacteristic, complemented
712#399C22×C13912yescomplemented
713#397C22×C13912yescomplemented
714#396C22×C13912yescomplemented
715#396C22×C13912yescomplemented
716#394C22×C13912yes—
717#394C22×C13912yes—
718#394C22×C13912yes—
719#394C22×C13912yes—
720#394C22×C13912yescomplemented
721#394C22×C13912yescomplemented
722#394C22×C13912yescomplemented
723#394C22×C13912yescomplemented
724#394C22×C13912yescomplemented
725#394C22×C13912yescomplemented
726#393C22×C13912yescomplemented
727#392C22×C13912yes—
728#392C22×C13912yes—
729#392C22×C13912yes—
730#392C22×C13912yes—
731#392C22×C13912yescomplemented
732#392C22×C13912yescomplemented
733#392C22×C13912yescomplemented
734#392C22×C13912yescomplemented
735#392C22×C13912yescomplemented
736#391C22×C13911yescharacteristic, complemented
737#391C22×C13911yescharacteristic, complemented
738#390C22×C13911yescharacteristic
739#390C22×C13911yescharacteristic
740#390C22×C13911yescharacteristic
741#390C22×C13911yescharacteristic
742#390C22×C13911yescharacteristic, complemented
743#390C22×C13912yescomplemented
744#390C22×C13912yescomplemented
745#390C22×C13911yescharacteristic, complemented
746#390C22×C13912yescomplemented
747#390C22×C13912yescomplemented
748#390C22×C13912yescomplemented
749#390C22×C13912yescomplemented
750#388C22×C13912yes—
751#388C22×C13912yes—
752#388C22×C13912yescomplemented
753#388C22×C13912yescomplemented
754#388C22×C13912yescomplemented
755#388C22×C13912yescomplemented
756#387C22×C13912yescomplemented
757#387C22×C13912yescomplemented
758#386C22×C13912yescomplemented
759#386C22×C13912yescomplemented
760#386C22×C13912yescomplemented
761#386C22×C13912yescomplemented
762#385C22×C13912yescomplemented
763#385C22×C13912yescomplemented
764#384C22×C13911yescharacteristic, complemented
765#382C22×C13911yescharacteristic, complemented
766#380C22×C13911yescharacteristic
767#380C22×C13911yescharacteristic
768#379C22×C13912yes—
769#379C22×C13912yes—
770C4×C4⋊C4C22×C13911yescharacteristic, complemented
771C4×C4⋊C4C22×C13911yescharacteristic, complemented
772C25C23×C13912yes—
773C2×#41—24no—
774C2×#41—42no—
775C2×#41—42no—
776C22×Q8C23×C13911yescharacteristic
777C22×Q8C23×C13911yescharacteristic
778C22×D4—24no—
779C22×D4—42no—
780C22×D4—42no—
781C22×D4C23×C13911yescharacteristic
782C22×D4C23×C13911yescharacteristic
783C22×D4C23×C13911yescharacteristic
784C22×D4C23×C13911yescharacteristic
785C22×D4C23×C13911yescharacteristic
786C22×D4C23×C13911yescharacteristic
787C22×D4C23×C13912yes—
788C22×D4C23×C13912yes—
789C22×D4C23×C13912yes—
790C22×D4C23×C13912yes—
791C22×D4C23×C13912yes—
792C22×D4C23×C13912yes—
793C22×D4C23×C13912yes—
794C22×D4C23×C13912yes—
795C22×D4C23×C13912yes—
796C22×D4C23×C13912yes—
797C22×D4C23×C13912yes—
798C22×D4C23×C13912yes—
799C23×C4C23×C13911yescharacteristic
800C23×C4C23×C13911yescharacteristic
801C23×C4C23×C13911yescharacteristic
802C23×C4C23×C13911yescharacteristic
803C23×C4C23×C13911yescharacteristic
804C23×C4C23×C13912yes—
805#127—24no—
806#127—24no—
807#127—44no—
808#126—24no—
809#126—24no—
810#125—24no—
811#124—24no—
812#124—24no—
813#124—24no—
814#124—44no—
815#123—24no—
816#123—24no—
817C22⋊Q8—24no—
818C22⋊Q8—42no—
819C22⋊Q8—42no—
820#121—28no—
821#121—28no—
822#121—24no—
823#121—44no—
824#121—42no—
825#121—42no—
826#121—42no—
827#121—42no—
828#121—42no—
829#121—42no—
830#121—44no—
831#120—28no—
832#120—28no—
833#120—44no—
834#120—44no—
835C4×Q8—24no—
836C4×D4—24no—
837C4×D4—24no—
838C4×D4—24no—
839#117—24no—
840#117D4×C13918yescomplemented
841C2×C4⋊C4C23×C13911yescharacteristic
842C2×C4⋊C4C23×C13911yescharacteristic
843C2×C4⋊C4C23×C13911yescharacteristic
844C2×C4⋊C4C23×C13911yescharacteristic
845C2×C4⋊C4C23×C13911yescharacteristic
846C2×C4⋊C4C23×C13911yescharacteristic
847C2×C4⋊C4C23×C13911yescharacteristic
848C2×C4⋊C4C23×C13911yescharacteristic
849C2×C4⋊C4C23×C13911yescharacteristic
850C2×C4⋊C4C23×C13911yescharacteristic
851C2×C4⋊C4C23×C13911yescharacteristic
852C2×C4⋊C4C23×C13911yescharacteristic
853C2×C4⋊C4C23×C13912yes—
854C2×C4⋊C4C23×C13912yes—
855C2×C4⋊C4C23×C13912yes—
856C2×C4⋊C4C23×C13912yes—
857C2×C4⋊C4C23×C13911yescharacteristic
858C2×C4⋊C4C23×C13911yescharacteristic
859C2×C22⋊C4C23×C13911yescharacteristic
860C2×C22⋊C4C23×C13911yescharacteristic
861C2×C22⋊C4C23×C13911yescharacteristic
862C2×C22⋊C4C23×C13911yescharacteristic
863C2×C22⋊C4C23×C13911yescharacteristic
864C2×C22⋊C4C23×C13911yescharacteristic
865C2×C22⋊C4C23×C13911yescharacteristic
866C2×C22⋊C4C23×C13911yescharacteristic
867C2×C22⋊C4C23×C13912yes—
868C2×C22⋊C4C23×C13912yes—
869C2×C22⋊C4C23×C13912yes—
870C2×C22⋊C4C23×C13912yes—
871C2×C22⋊C4C23×C13912yes—
872C2×C22⋊C4C23×C13912yes—
873C2×C22⋊C4C23×C13912yes—
874C2×C22⋊C4C23×C13912yes—
875C2×C22⋊C4C23×C13912yes—
876C2×C22⋊C4C23×C13912yes—
877C2×C22⋊C4C23×C13912yes—
878C2×C22⋊C4C23×C13912yes—
879C2×C22⋊C4C23×C13912yes—
880C2×C22⋊C4C23×C13912yes—
881C2×C22⋊C4C23×C13912yes—
882C2×C22⋊C4C23×C13912yes—
883C2×C22⋊C4C23×C13912yes—
884C2×C22⋊C4C23×C13912yes—
885C2×C22⋊C4C23×C13912yes—
886C2×C22⋊C4C23×C13912yes—
887C2×C22⋊C4C23×C13912yes—
888C2×C22⋊C4C23×C13912yes—
889C2×C22⋊C4C23×C13912yes—
890C2×C22⋊C4C23×C13912yes—
891C2×C22⋊C4C23×C13912yes—
892C2×C22⋊C4C23×C13912yes—
893C2×C22⋊C4C23×C13911yescharacteristic
894C2×C22⋊C4C23×C13911yescharacteristic
895C2×C42—24no—
896C2×C42C23×C13911yescharacteristic
897C2×C42C23×C13911yescharacteristic
898C2×C42C23×C13911yescharacteristic
899C2×C42C23×C13911yescharacteristic
900C2×C42C23×C13912yes—
901C2×C42C23×C13912yes—
902C2×C42C23×C13911yescharacteristic
903C2×C42C23×C13911yescharacteristic
904#95C23×C13912yes—
905#95C23×C13912yes—
906#95C23×C13912yes—
907#95C23×C13912yes—
908#95C23×C13912yes—
909#95C23×C13912yes—
910#95C23×C13912yes—
911#95C23×C13912yes—
912#95C23×C13912yes—
913#95C23×C13912yes—
914C24—24no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24C24×C13912yes—
922C24C24×C13912yes—
923C24C24×C13911yescharacteristic
924C24C24×C13912yes—
925C24C24×C13911yescharacteristic
926C24C24×C13911yescharacteristic
927#41—416no—
928C2×Q8—22no—
929C2×Q8—22no—
930C2×Q8—22no—
931C2×Q8—22no—
932C2×Q8—22no—
933C2×Q8—41no—
934C2×D4—22no—
935C2×D4—22no—
936C2×D4—24no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—24no—
940C2×D4—24no—
941C2×D4—24no—
942C2×D4—22no—
943C2×D4—24no—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—24no—
948C2×D4—24no—
949C2×D4—24no—
950C2×D4—24no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—416no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—24no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4C2×D4×C13914yes—
1007C22×C4C24×C13912yes—
1008C22×C4C24×C13912yes—
1009C22×C4C24×C13912yes—
1010C22×C4C24×C13912yes—
1011C22×C4C24×C13911yescharacteristic
1012C22×C4C24×C13911yescharacteristic
1013C22×C4C24×C13911yescharacteristic
1014C22×C4C24×C13912yes—
1015C22×C4C24×C13911yescharacteristic
1016C22×C4C24×C13911yescharacteristic
1017C22×C4C24×C13911yescharacteristic
1018C22×C4C24×C13911yescharacteristic
1019C22×C4C24×C13911yescharacteristic
1020C22×C4C24×C13911yescharacteristic
1021C22×C4C24×C13911yescharacteristic
1022C22×C4C24×C13911yescharacteristic
1023C22×C4C24×C13911yescharacteristic
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
1028C4⋊C4—22no—
1029C4⋊C4—22no—
1030C4⋊C4—22no—
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—22no—
1036C4⋊C4—42no—
1037C4⋊C4—42no—
1038C4⋊C4—42no—
1039C4⋊C4—42no—
1040C4⋊C4C2×D4×C13914yes—
1041C4⋊C4C2×D4×C13914yes—
1042C22⋊C4—22no—
1043C22⋊C4—22no—
1044C22⋊C4—22no—
1045C22⋊C4—22no—
1046C22⋊C4—22no—
1047C22⋊C4—22no—
1048C22⋊C4—22no—
1049C22⋊C4—22no—
1050C22⋊C4—24no—
1051C22⋊C4—24no—
1052C22⋊C4—24no—
1053C22⋊C4—24no—
1054C22⋊C4—24no—
1055C22⋊C4—24no—
1056C22⋊C4—24no—
1057C22⋊C4—42no—
1058C22⋊C4—42no—
1059C22⋊C4—42no—
1060C22⋊C4—42no—
1061C22⋊C4—42no—
1062C22⋊C4—42no—
1063C22⋊C4—42no—
1064C22⋊C4—42no—
1065C22⋊C4—42no—
1066C22⋊C4—42no—
1067C22⋊C4—42no—
1068C22⋊C4—42no—
1069C22⋊C4—42no—
1070C22⋊C4—42no—
1071C22⋊C4—42no—
1072C22⋊C4—42no—
1073C22⋊C4—42no—
1074C22⋊C4—42no—
1075C22⋊C4—42no—
1076C22⋊C4C2×D4×C13914yes—
1077C22⋊C4C2×D4×C13914yes—
1078C42—22no—
1079C42—22no—
1080C42—22no—
1081C42—22no—
1082C42—42no—
1083C42—42no—
1084C42C2×D4×C13914yes—
1085C42C2×D4×C13914yes—
1086C23—21no—
1087C23—21no—
1088C23—21no—
1089C23—21no—
1090C23—21no—
1091C23—21no—
1092C23—21no—
1093C23—21no—
1094C23—21no—
1095C23—21no—
1096C23—21no—
1097C23—21no—
1098C23—21no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—21no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—21no—
1116C23—21no—
1117C23—21no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—21no—
1122C23—21no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—48no—
1127C23—84no—
1128C23—84no—
1129C23—84no—
1130C23—84no—
1131C23—84no—
1132C23—84no—
1133C23C22×D4×C13912yes—
1134C23H(5,𝔽2)×C13912yes—
1135C23C25×C13911yescharacteristic
1136Q8—44no—
1137Q8—44no—
1138D4—44no—
1139D4—44no—
1140D4—48no—
1141D4—44no—
1142D4—48no—
1143D4—44no—
1144D4—44no—
1145D4—44no—
1146D4—84no—
1147D4—84no—
1148D4—84no—
1149D4—84no—
1150D4—84no—
1151D4—84no—
1152D4—84no—
1153D4—84no—
1154D4—84no—
1155D4—84no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—28no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—22no—
1174C2×C4—21no—
1175C2×C4—22no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—22no—
1179C2×C4—22no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—22no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—21no—
1195C2×C4—22no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—22no—
1199C2×C4—44no—
1200C2×C4—44no—
1201C2×C4—48no—
1202C2×C4—44no—
1203C2×C4—44no—
1204C2×C4C22×D4×C13912yes—
1205C2×C4C22×D4×C13912yes—
1206C2×C4C22×D4×C13912yes—
1207C2×C4C22×D4×C13912yes—
1208C2×C4C22×D4×C13912yes—
1209C2×C4C22×D4×C13912yes—
1210C2×C4H(5,𝔽2)×C13912yes—
1211C2×C4H(5,𝔽2)×C13912yes—
1212C2×C4H(5,𝔽2)×C13912yes—
1213C22—22no—
1214C22—22no—
1215C22—22no—
1216C22—22no—
1217C22—22no—
1218C22—22no—
1219C22—41no—
1220C22—41no—
1221C22—41no—
1222C22—41no—
1223C22—41no—
1224C22—41no—
1225C22—41no—
1226C22—41no—
1227C22—41no—
1228C22—42no—
1229C22—42no—
1230C22—42no—
1231C22—41no—
1232C22—42no—
1233C22—42no—
1234C22—42no—
1235C22—41no—
1236C22—42no—
1237C22—42no—
1238C22—42no—
1239C22—42no—
1240C22—42no—
1241C22—41no—
1242C22—42no—
1243C22—42no—
1244C22—41no—
1245C22—42no—
1246C22—42no—
1247C22—41no—
1248C22—41no—
1249C22—42no—
1250C22—42no—
1251C22—42no—
1252C22—42no—
1253C22—42no—
1254C22—42no—
1255C22—816no—
1256C22C23×D4×C13911yescharacteristic
1257C22C2×H(5,𝔽2)×C13911yescharacteristic
1258C22C2×H(5,𝔽2)×C13911yescharacteristic
1259C22C2×H(5,𝔽2)×C13911yescharacteristic
1260C22C2×H(5,𝔽2)×C13911yescharacteristic
1261C22#585×C13911yescharacteristic
1262C22#585×C13911yescharacteristic
1263C4—22no—
1264C4—22no—
1265C4—22no—
1266C4—22no—
1267C4—22no—
1268C4—22no—
1269C4—42no—
1270C4—42no—
1271C4—42no—
1272C4—42no—
1273C4—42no—
1274C4—41no—
1275C4—41no—
1276C4—41no—
1277C4—41no—
1278C4—41no—
1279C4#535×C13914yes—
1280C2—42no—
1281C2—42no—
1282C2—82no—
1283C2—82no—
1284C2—81no—
1285C2—82no—
1286C2C2×#535×C13911yescharacteristic
1287C2#3488×C13911yescharacteristic
1288C2#3488×C13911yescharacteristic
1289C2#3543×C13911yescharacteristic
1290C2#3546×C13911yescharacteristic
1291C2#3558×C13911yescharacteristic
1292C2#3562×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#535×C139C2semidirect
2. C2×#529×C139C2semidirect
3. #2856×C139C2semidirect
4. #2850×C139C2semidirect
5. #2714×C139C2semidirect
6. #2711×C139C2semidirect
7. #2685×C139C2semidirect
8. #2678×C139C2semidirect
9. #2676×C139C2semidirect
10. #2673×C139C2semidirect
11. #2670×C139C2semidirect
12. #2669×C139C2semidirect
13. #2620×C139C2semidirect
14. #2619×C139C2semidirect
15. #2592×C139C2semidirect
16. #2548×C139C2semidirect
17. #2541×C139C2semidirect
18. #2540×C139C2semidirect
19. #2408×C139C2semidirect
20. #2408×C139C2semidirect
21. #2407×C139C2semidirect
22. #2407×C139C2semidirect
23. #2314×C139C2semidirect
29. C2×#127×C139C22semidirect
32. C2×#126×C139C22semidirect
33. C2×#125×C139C22semidirect
37. C2×#124×C139C22semidirect
39. C2×#123×C139C22semidirect
40. C2×C22⋊Q8×C139C22semidirect
41. C2×C22⋊Q8×C139C22semidirect
42. C2×C22⋊Q8×C139C22semidirect
50. C2×#121×C139C22semidirect
51. C2×#121×C139C22semidirect
52. C2×#121×C139C22semidirect
53. C2×#121×C139C22semidirect
58. C2×C4×Q8×C139C22semidirect
61. C2×C4×D4×C139C22semidirect
63. C2×#117×C139C22semidirect
64. C22×C42×C139C22semidirect
65. #399×C139C22semidirect
66. #397×C139C22semidirect
67. #396×C139C22semidirect
68. #396×C139C22semidirect
73. #394×C139C22semidirect
74. #394×C139C22semidirect
75. #394×C139C22semidirect
76. #394×C139C22semidirect
77. #394×C139C22semidirect
78. #394×C139C22semidirect
79. #393×C139C22semidirect
84. #392×C139C22semidirect
85. #392×C139C22semidirect
86. #392×C139C22semidirect
87. #392×C139C22semidirect
88. #392×C139C22semidirect
89. #391×C139C22semidirect
90. #391×C139C22semidirect
95. #390×C139C22semidirect
96. #390×C139C22semidirect
97. #390×C139C22semidirect
98. #390×C139C22semidirect
99. #390×C139C22semidirect
100. #390×C139C22semidirect
101. #390×C139C22semidirect
102. #390×C139C22semidirect
105. #388×C139C22semidirect
106. #388×C139C22semidirect
107. #388×C139C22semidirect
108. #388×C139C22semidirect
109. #387×C139C22semidirect
110. #387×C139C22semidirect
111. #386×C139C22semidirect
112. #386×C139C22semidirect
113. #386×C139C22semidirect
114. #386×C139C22semidirect
115. #385×C139C22semidirect
116. #385×C139C22semidirect
117. #384×C139C22semidirect
118. #382×C139C22semidirect
123. C4×C4⋊C4×C139C22semidirect
124. C4×C4⋊C4×C139C22semidirect
193. #117×C139D4semidirect
646. #37278C139direct (N × H)
647. C139#37278direct (N × H)
648. C2×#535C2×C139semidirect
649. C2×#529C2×C139semidirect
650. #2856C2×C139semidirect
651. #2850C2×C139semidirect
652. #2714C2×C139semidirect
653. #2711C2×C139semidirect
654. #2685C2×C139semidirect
655. #2678C2×C139semidirect
656. #2676C2×C139semidirect
657. #2673C2×C139semidirect
658. #2670C2×C139semidirect
659. #2669C2×C139semidirect
660. #2620C2×C139semidirect
661. #2619C2×C139semidirect
662. #2592C2×C139semidirect
663. #2548C2×C139semidirect
664. #2541C2×C139semidirect
665. #2540C2×C139semidirect
666. #2408C2×C139semidirect
667. #2408C2×C139semidirect
668. #2407C2×C139semidirect
669. #2407C2×C139semidirect
670. #2314C2×C139semidirect
676. C2×#127C22×C139semidirect
679. C2×#126C22×C139semidirect
680. C2×#125C22×C139semidirect
684. C2×#124C22×C139semidirect
686. C2×#123C22×C139semidirect
687. C2×C22⋊Q8C22×C139semidirect
688. C2×C22⋊Q8C22×C139semidirect
689. C2×C22⋊Q8C22×C139semidirect
697. C2×#121C22×C139semidirect
698. C2×#121C22×C139semidirect
699. C2×#121C22×C139semidirect
700. C2×#121C22×C139semidirect
705. C2×C4×Q8C22×C139semidirect
708. C2×C4×D4C22×C139semidirect
710. C2×#117C22×C139semidirect
711. C22×C42C22×C139semidirect
712. #399C22×C139semidirect
713. #397C22×C139semidirect
714. #396C22×C139semidirect
715. #396C22×C139semidirect
720. #394C22×C139semidirect
721. #394C22×C139semidirect
722. #394C22×C139semidirect
723. #394C22×C139semidirect
724. #394C22×C139semidirect
725. #394C22×C139semidirect
726. #393C22×C139semidirect
731. #392C22×C139semidirect
732. #392C22×C139semidirect
733. #392C22×C139semidirect
734. #392C22×C139semidirect
735. #392C22×C139semidirect
736. #391C22×C139semidirect
737. #391C22×C139semidirect
742. #390C22×C139semidirect
743. #390C22×C139semidirect
744. #390C22×C139semidirect
745. #390C22×C139semidirect
746. #390C22×C139semidirect
747. #390C22×C139semidirect
748. #390C22×C139semidirect
749. #390C22×C139semidirect
752. #388C22×C139semidirect
753. #388C22×C139semidirect
754. #388C22×C139semidirect
755. #388C22×C139semidirect
756. #387C22×C139semidirect
757. #387C22×C139semidirect
758. #386C22×C139semidirect
759. #386C22×C139semidirect
760. #386C22×C139semidirect
761. #386C22×C139semidirect
762. #385C22×C139semidirect
763. #385C22×C139semidirect
764. #384C22×C139semidirect
765. #382C22×C139semidirect
770. C4×C4⋊C4C22×C139semidirect
771. C4×C4⋊C4C22×C139semidirect
840. #117D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#535×C1392
C2×#529×C1392
#2856×C1392
#2850×C1392
#2714×C1392
#2711×C1392
#2685×C1392
#2678×C1392
#2676×C1392
#2673×C1392
#2670×C1392
#2669×C1392
#2620×C1392
#2619×C1392
#2592×C1392
#2548×C1392
#2541×C1392
#2540×C1392
#2408×C1392
#2407×C1392
#2314×C1392
#37278139