Finite Group Databasebeta

← C139×#36316 #48030912

Subgroups — C139×#36316 #48030912

Order 35584.

3318 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#546×C139C211yesmaximal, characteristic, complemented
2C22×C4×D4×C139C211yesmaximal, characteristic, complemented
3#2853×C139C211yesmaximal, characteristic, complemented
4#2849×C139C211yesmaximal, characteristic, complemented
5#2847×C139C211yesmaximal, characteristic, complemented
6#2591×C139C211yesmaximal, characteristic, complemented
7#2579×C139C211yesmaximal, characteristic, complemented
8#2464×C139C212yesmaximal, complemented
9#2459×C139C212yesmaximal, complemented
10#2457×C139C212yesmaximal, complemented
11#2456×C139C212yesmaximal, complemented
12#2450×C139C212yesmaximal, complemented
13#2424×C139C212yesmaximal, complemented
14#2411×C139C211yesmaximal, characteristic, complemented
15#2410×C139C211yesmaximal, characteristic, complemented
16#2404×C139C211yesmaximal, characteristic, complemented
17#2403×C139C211yesmaximal, characteristic, complemented
18#2364×C139C212yesmaximal, complemented
19#2358×C139C212yesmaximal, complemented
20#2342×C139C211yesmaximal, characteristic, complemented
21C4×#120×C139C211yesmaximal, characteristic, complemented
22#2297×C139C211yesmaximal, characteristic, complemented
23C2×#386×C139C211yesmaximal, characteristic, complemented
24C22×#41×C139C2211yescharacteristic
25C23×D4×C139C2211yescharacteristic
26C23×D4×C139C2211yescharacteristic
27C24×C4×C139C2211yescharacteristic
28C24×C4×C139C2211yescharacteristic, complemented
29#546×C139—28no—
30C2×#124×C139C2211yescharacteristic, complemented
31C2×#123×C139C2211yescharacteristic
32C2×#123×C139C2211yescharacteristic, complemented
33C2×#123×C139C2212yescomplemented
34C2×C22⋊Q8×C139C2211yescharacteristic, complemented
35C2×#121×C139C2211yescharacteristic
36C2×#121×C139C2212yes—
37C2×#121×C139C2211yescharacteristic, complemented
38C2×#121×C139C2211yescharacteristic, complemented
39C2×#121×C139C2212yescomplemented
40C2×#120×C139C2211yescharacteristic
41C2×#120×C139C2211yescharacteristic
42C2×#120×C139C2212yes—
43C2×#120×C139C2211yescharacteristic
44C2×#120×C139C2211yescharacteristic, complemented
45C2×#120×C139C2211yescharacteristic, complemented
46C2×C4×D4×C139—28no—
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2212yes—
49C2×C4×D4×C139C2212yes—
50C2×C4×D4×C139C2211yescharacteristic, complemented
51C2×C4×D4×C139C2212yescomplemented
52C2×C4×D4×C139C2212yescomplemented
53C2×C4×D4×C139C2212yescomplemented
54C2×#117×C139C2211yescharacteristic, complemented
55C22×C4⋊C4×C139C2211yescharacteristic, complemented
56C22×C22⋊C4×C139C2211yescharacteristic
57C22×C22⋊C4×C139C2211yescharacteristic
58C22×C22⋊C4×C139C2211yescharacteristic, complemented
59C22×C22⋊C4×C139C2211yescharacteristic, complemented
60C22×C22⋊C4×C139C2212yescomplemented
61C22×C42×C139C2211yescharacteristic, complemented
62#400×C139C2212yescomplemented
63#398×C139C2212yescomplemented
64#396×C139C2212yescomplemented
65#396×C139C2212yescomplemented
66#394×C139C2212yescomplemented
67#394×C139C2212yescomplemented
68#394×C139C2212yescomplemented
69#393×C139C2212yescomplemented
70#392×C139C2212yes—
71#392×C139C2212yes—
72#392×C139C2212yescomplemented
73#392×C139C2212yescomplemented
74#391×C139C2212yescomplemented
75#390×C139C2212yescomplemented
76#390×C139C2212yescomplemented
77#388×C139C2212yescomplemented
78#388×C139C2212yescomplemented
79#388×C139C2212yescomplemented
80#388×C139C2212yescomplemented
81#388×C139C2212yescomplemented
82#388×C139C2212yescomplemented
83#388×C139C2212yescomplemented
84#387×C139C2212yescomplemented
85#387×C139C2212yescomplemented
86#387×C139C2212yescomplemented
87#386×C139C2211yescharacteristic
88#386×C139C2211yescharacteristic
89#386×C139C2211yescharacteristic
90#386×C139C2211yescharacteristic
91#386×C139C2211yescharacteristic
92#386×C139C2211yescharacteristic
93#386×C139C2212yes—
94#386×C139C2212yes—
95#386×C139C2212yescomplemented
96#386×C139C2212yescomplemented
97#386×C139C2211yescharacteristic, complemented
98#386×C139C2211yescharacteristic, complemented
99#386×C139C2212yescomplemented
100#386×C139C2211yescharacteristic, complemented
101#386×C139C2212yescomplemented
102#386×C139C2212yescomplemented
103#386×C139C2212yescomplemented
104#386×C139C2212yescomplemented
105#386×C139C2212yescomplemented
106#385×C139C2211yescharacteristic, complemented
107#385×C139C2212yescomplemented
108#385×C139C2211yescharacteristic, complemented
109#385×C139C2211yescharacteristic, complemented
110#385×C139C2212yescomplemented
111#385×C139C2212yescomplemented
112#385×C139C2212yescomplemented
113#381×C139C2212yescomplemented
114#381×C139C2211yescharacteristic, complemented
115#380×C139C2211yescharacteristic, complemented
116#380×C139C2212yescomplemented
117#379×C139C2211yescharacteristic
118#379×C139C2211yescharacteristic, complemented
119C4×C22⋊C4×C139C2212yescomplemented
120C4×C22⋊C4×C139C2212yescomplemented
121C4×C22⋊C4×C139C2211yescharacteristic, complemented
122C4×C22⋊C4×C139C2212yescomplemented
123C4×C22⋊C4×C139C2212yescomplemented
124C2×#95×C139C2212yescomplemented
125C25×C139C2311yescharacteristic
126C25×C139C2311yescharacteristic
127C25×C139C2311yescharacteristic
128C2×#41×C139—24no—
129C2×#41×C139—24no—
130C2×#41×C139—42no—
131C22×Q8×C139C2311yescharacteristic
132C22×D4×C139—24no—
133C22×D4×C139—28no—
134C22×D4×C139—24no—
135C22×D4×C139—24no—
136C22×D4×C139—42no—
137C22×D4×C139C2312yes—
138C22×D4×C139C2311yescharacteristic
139C22×D4×C139C2311yescharacteristic
140C22×D4×C139C2311yescharacteristic
141C22×D4×C139C2312yes—
142C22×D4×C139C2311yescharacteristic
143C22×D4×C139C2311yescharacteristic
144C22×D4×C139C2311yescharacteristic
145C22×D4×C139C2311yescharacteristic
146C22×D4×C139C2312yes—
147C22×D4×C139C2312yes—
148C22×D4×C139C2311yescharacteristic
149C22×D4×C139C2311yescharacteristic
150C22×D4×C139C2312yes—
151C23×C4×C139—24no—
152C23×C4×C139—24no—
153C23×C4×C139—44no—
154C23×C4×C139—44no—
155C23×C4×C139C2311yescharacteristic
156C23×C4×C139C2311yescharacteristic
157C23×C4×C139C2312yes—
158C23×C4×C139C2311yescharacteristic
159C23×C4×C139C2312yes—
160C23×C4×C139C2312yes—
161C23×C4×C139C2312yes—
162C23×C4×C139C2311yescharacteristic
163C23×C4×C139C2311yescharacteristic
164C23×C4×C139C2311yescharacteristic
165C23×C4×C139C2312yes—
166C23×C4×C139C2311yescharacteristic
167C23×C4×C139C2311yescharacteristic
168C23×C4×C139C2311yescharacteristic
169#124×C139—24no—
170#123×C139—24no—
171#123×C139—24no—
172#123×C139—44no—
173C22⋊Q8×C139—24no—
174#121×C139—28no—
175#121×C139—24no—
176#121×C139—24no—
177#121×C139—24no—
178#121×C139—44no—
179#120×C139—24no—
180#120×C139—24no—
181#120×C139—28no—
182#120×C139—24no—
183#120×C139—42no—
184#120×C139—42no—
185C4×D4×C139—24no—
186C4×D4×C139—28no—
187C4×D4×C139—28no—
188C4×D4×C139—28no—
189C4×D4×C139—28no—
190C4×D4×C139—24no—
191C4×D4×C139—44no—
192#117×C139—42no—
193C2×C4⋊C4×C139—24no—
194C2×C4⋊C4×C139C2311yescharacteristic
195C2×C4⋊C4×C139C2312yes—
196C2×C4⋊C4×C139C2312yes—
197C2×C4⋊C4×C139C2311yescharacteristic
198C2×C4⋊C4×C139C2311yescharacteristic
199C2×C4⋊C4×C139C2312yes—
200C2×C4⋊C4×C139C2311yescharacteristic
201C2×C4⋊C4×C139C2312yes—
202C2×C4⋊C4×C139C2312yes—
203C2×C4⋊C4×C139C2312yes—
204C2×C4⋊C4×C139C2312yes—
205C2×C22⋊C4×C139—24no—
206C2×C22⋊C4×C139—24no—
207C2×C22⋊C4×C139—44no—
208C2×C22⋊C4×C139—42no—
209C2×C22⋊C4×C139D418yescomplemented
210C2×C22⋊C4×C139C2311yescharacteristic
211C2×C22⋊C4×C139C2312yes—
212C2×C22⋊C4×C139C2312yes—
213C2×C22⋊C4×C139C2311yescharacteristic
214C2×C22⋊C4×C139C2311yescharacteristic
215C2×C22⋊C4×C139C2312yes—
216C2×C22⋊C4×C139C2312yes—
217C2×C22⋊C4×C139C2311yescharacteristic
218C2×C22⋊C4×C139C2311yescharacteristic
219C2×C22⋊C4×C139C2311yescharacteristic
220C2×C22⋊C4×C139C2312yes—
221C2×C22⋊C4×C139C2311yescharacteristic
222C2×C22⋊C4×C139C2311yescharacteristic
223C2×C22⋊C4×C139C2311yescharacteristic
224C2×C22⋊C4×C139C2311yescharacteristic
225C2×C22⋊C4×C139C2311yescharacteristic
226C2×C22⋊C4×C139C2312yes—
227C2×C22⋊C4×C139C2312yes—
228C2×C22⋊C4×C139C2312yes—
229C2×C22⋊C4×C139C2311yescharacteristic
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×C139C2311yescharacteristic
242C2×C22⋊C4×C139C2311yescharacteristic
243C2×C22⋊C4×C139C2311yescharacteristic
244C2×C22⋊C4×C139C2311yescharacteristic
245C2×C42×C139—24no—
246C2×C42×C139C2312yes—
247C2×C42×C139C2312yes—
248C2×C42×C139C2311yescharacteristic
249C2×C42×C139C2312yes—
250C2×C42×C139C2312yes—
251#95×C139C2312yes—
252#95×C139C2312yes—
253#95×C139C2312yes—
254#95×C139C2312yes—
255#95×C139C2312yes—
256#95×C139C2312yes—
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—22no—
268C24×C139—24no—
269C24×C139—24no—
270C24×C139—22no—
271C24×C139—22no—
272C24×C139—22no—
273C24×C139—22no—
274C24×C139—22no—
275C24×C139—22no—
276C24×C139—24no—
277C24×C139—42no—
278C24×C139—42no—
279C24×C139—42no—
280C24×C139—41no—
281C24×C139C2×D414yes—
282C24×C139C2411yescharacteristic
283C24×C139C2411yescharacteristic
284C24×C139C2411yescharacteristic
285C24×C139C2412yes—
286C24×C139C2411yescharacteristic
287C24×C139C2411yescharacteristic
288C24×C139C2411yescharacteristic
289#41×C139—416no—
290C2×Q8×C139—22no—
291C2×Q8×C139—22no—
292C2×Q8×C139—41no—
293C2×D4×C139—232no—
294C2×D4×C139—24no—
295C2×D4×C139—24no—
296C2×D4×C139—22no—
297C2×D4×C139—24no—
298C2×D4×C139—24no—
299C2×D4×C139—22no—
300C2×D4×C139—22no—
301C2×D4×C139—22no—
302C2×D4×C139—22no—
303C2×D4×C139—22no—
304C2×D4×C139—22no—
305C2×D4×C139—24no—
306C2×D4×C139—24no—
307C2×D4×C139—24no—
308C2×D4×C139—22no—
309C2×D4×C139—22no—
310C2×D4×C139—22no—
311C2×D4×C139—22no—
312C2×D4×C139—22no—
313C2×D4×C139—22no—
314C2×D4×C139—22no—
315C2×D4×C139—24no—
316C2×D4×C139—24no—
317C2×D4×C139—22no—
318C2×D4×C139—22no—
319C2×D4×C139—24no—
320C2×D4×C139—22no—
321C2×D4×C139—42no—
322C2×D4×C139—41no—
323C2×D4×C139—41no—
324C2×D4×C139—41no—
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—416no—
332C2×D4×C139#4114yes—
333C2×D4×C139#4118yescomplemented
334C22×C4×C139—22no—
335C22×C4×C139—22no—
336C22×C4×C139—22no—
337C22×C4×C139—22no—
338C22×C4×C139—24no—
339C22×C4×C139—24no—
340C22×C4×C139—22no—
341C22×C4×C139—24no—
342C22×C4×C139—24no—
343C22×C4×C139—22no—
344C22×C4×C139—22no—
345C22×C4×C139—24no—
346C22×C4×C139—22no—
347C22×C4×C139—24no—
348C22×C4×C139—24no—
349C22×C4×C139—22no—
350C22×C4×C139—22no—
351C22×C4×C139—22no—
352C22×C4×C139—24no—
353C22×C4×C139—24no—
354C22×C4×C139—24no—
355C22×C4×C139—24no—
356C22×C4×C139—22no—
357C22×C4×C139—42no—
358C22×C4×C139—42no—
359C22×C4×C139—42no—
360C22×C4×C139—42no—
361C22×C4×C139—42no—
362C22×C4×C139—42no—
363C22×C4×C139—41no—
364C22×C4×C139—41no—
365C22×C4×C139—41no—
366C22×C4×C139—42no—
367C22×C4×C139—42no—
368C22×C4×C139—42no—
369C22×C4×C139—416no—
370C22×C4×C139—416no—
371C22×C4×C139C2×D414yes—
372C22×C4×C139C2×D414yes—
373C22×C4×C139C2412yes—
374C22×C4×C139C2412yes—
375C22×C4×C139C2411yescharacteristic
376C22×C4×C139C2411yescharacteristic
377C22×C4×C139C2412yes—
378C22×C4×C139C2411yescharacteristic
379C22×C4×C139C2412yes—
380C22×C4×C139C2412yes—
381C22×C4×C139C2411yescharacteristic
382C22×C4×C139C2411yescharacteristic
383C22×C4×C139C2411yescharacteristic
384C22×C4×C139C2411yescharacteristic
385C22×C4×C139C2411yescharacteristic
386C22×C4×C139C2411yescharacteristic
387C22×C4×C139C2412yes—
388C22×C4×C139C2412yes—
389C4⋊C4×C139—24no—
390C4⋊C4×C139—24no—
391C4⋊C4×C139—22no—
392C4⋊C4×C139—22no—
393C4⋊C4×C139—22no—
394C4⋊C4×C139—22no—
395C4⋊C4×C139—24no—
396C4⋊C4×C139—24no—
397C4⋊C4×C139—42no—
398C4⋊C4×C139—42no—
399C4⋊C4×C139—42no—
400C22⋊C4×C139—22no—
401C22⋊C4×C139—22no—
402C22⋊C4×C139—22no—
403C22⋊C4×C139—24no—
404C22⋊C4×C139—22no—
405C22⋊C4×C139—24no—
406C22⋊C4×C139—22no—
407C22⋊C4×C139—22no—
408C22⋊C4×C139—22no—
409C22⋊C4×C139—24no—
410C22⋊C4×C139—24no—
411C22⋊C4×C139—22no—
412C22⋊C4×C139—22no—
413C22⋊C4×C139—22no—
414C22⋊C4×C139—22no—
415C22⋊C4×C139—22no—
416C22⋊C4×C139—24no—
417C22⋊C4×C139—24no—
418C22⋊C4×C139—24no—
419C22⋊C4×C139—24no—
420C22⋊C4×C139—24no—
421C22⋊C4×C139—24no—
422C22⋊C4×C139—24no—
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×C139—42no—
430C22⋊C4×C139—42no—
431C22⋊C4×C139C2×D414yes—
432C22⋊C4×C139C2×D414yes—
433C22⋊C4×C139C2×D414yes—
434C22⋊C4×C139C2×D414yes—
435C42×C139—24no—
436C42×C139—24no—
437C42×C139—22no—
438C42×C139—42no—
439C42×C139—42no—
440C23×C139—22no—
441C23×C139—21no—
442C23×C139—22no—
443C23×C139—22no—
444C23×C139—21no—
445C23×C139—28no—
446C23×C139—28no—
447C23×C139—28no—
448C23×C139—22no—
449C23×C139—21no—
450C23×C139—22no—
451C23×C139—22no—
452C23×C139—22no—
453C23×C139—22no—
454C23×C139—21no—
455C23×C139—22no—
456C23×C139—21no—
457C23×C139—22no—
458C23×C139—22no—
459C23×C139—22no—
460C23×C139—22no—
461C23×C139—21no—
462C23×C139—21no—
463C23×C139—21no—
464C23×C139—22no—
465C23×C139—22no—
466C23×C139—21no—
467C23×C139—21no—
468C23×C139—22no—
469C23×C139—22no—
470C23×C139—21no—
471C23×C139—21no—
472C23×C139—44no—
473C23×C139—48no—
474C23×C139—48no—
475C23×C139—48no—
476C23×C139—48no—
477C23×C139—44no—
478C23×C139—48no—
479C23×C139—44no—
480C23×C139—44no—
481C23×C139—44no—
482C23×C139—82no—
483C23×C139—84no—
484C23×C139C22×D412yes—
485C23×C139C22×D412yes—
486C23×C139C22×D412yes—
487C23×C139C2×#4114yes—
488C23×C139C2×#4112yes—
489C23×C139C2×#4114yes—
490C23×C139C2×#4112yes—
491C23×C139H(5,𝔽2)12yes—
492C23×C139C2511yescharacteristic
493Q8×C139—44no—
494D4×C139—216no—
495D4×C139—216no—
496D4×C139—28no—
497D4×C139—44no—
498D4×C139—44no—
499D4×C139—48no—
500D4×C139—44no—
501D4×C139—44no—
502D4×C139—44no—
503D4×C139—44no—
504D4×C139—82no—
505D4×C139—82no—
506D4×C139—84no—
507D4×C139—84no—
508C2×C4×C139—28no—
509C2×C4×C139—28no—
510C2×C4×C139—28no—
511C2×C4×C139—22no—
512C2×C4×C139—22no—
513C2×C4×C139—21no—
514C2×C4×C139—21no—
515C2×C4×C139—22no—
516C2×C4×C139—21no—
517C2×C4×C139—21no—
518C2×C4×C139—22no—
519C2×C4×C139—21no—
520C2×C4×C139—22no—
521C2×C4×C139—22no—
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—22no—
534C2×C4×C139—21no—
535C2×C4×C139—21no—
536C2×C4×C139—22no—
537C2×C4×C139—22no—
538C2×C4×C139—22no—
539C2×C4×C139—22no—
540C2×C4×C139—22no—
541C2×C4×C139—22no—
542C2×C4×C139—22no—
543C2×C4×C139—22no—
544C2×C4×C139—21no—
545C2×C4×C139—21no—
546C2×C4×C139—22no—
547C2×C4×C139—22no—
548C2×C4×C139—44no—
549C2×C4×C139—48no—
550C2×C4×C139—48no—
551C2×C4×C139—44no—
552C2×C4×C139—48no—
553C2×C4×C139—48no—
554C2×C4×C139—44no—
555C2×C4×C139—44no—
556C2×C4×C139—44no—
557C2×C4×C139—82no—
558C2×C4×C139—84no—
559C2×C4×C139C22×D412yes—
560C2×C4×C139C22×D412yes—
561C2×C4×C139C22×D412yes—
562C2×C4×C139C22×D412yes—
563C2×C4×C139C2×#4114yes—
564C2×C4×C139C2×#4112yes—
565C2×C4×C139H(5,𝔽2)14yes—
566C22×C139—22no—
567C22×C139—22no—
568C22×C139—24no—
569C22×C139—24no—
570C22×C139—22no—
571C22×C139—22no—
572C22×C139—24no—
573C22×C139—24no—
574C22×C139—22no—
575C22×C139—24no—
576C22×C139—22no—
577C22×C139—22no—
578C22×C139—24no—
579C22×C139—24no—
580C22×C139—22no—
581C22×C139—24no—
582C22×C139—416no—
583C22×C139—416no—
584C22×C139—41no—
585C22×C139—42no—
586C22×C139—42no—
587C22×C139—42no—
588C22×C139—42no—
589C22×C139—41no—
590C22×C139—42no—
591C22×C139—42no—
592C22×C139—42no—
593C22×C139—41no—
594C22×C139—41no—
595C22×C139—41no—
596C22×C139—41no—
597C22×C139—42no—
598C22×C139—42no—
599C22×C139—41no—
600C22×C139—41no—
601C22×C139—42no—
602C22×C139—42no—
603C22×C139—88no—
604C22×C139#52514yes—
605C22×C139#54614yes—
606C22×C139C23×D411yescharacteristic
607C22×C139C22×#4112yes—
608C22×C139C22×#4111yescharacteristic
609C22×C139C2×H(5,𝔽2)11yescharacteristic
610C22×C139C2×H(5,𝔽2)12yes—
611C4×C139—24no—
612C4×C139—22no—
613C4×C139—22no—
614C4×C139—22no—
615C4×C139—24no—
616C4×C139—22no—
617C4×C139—22no—
618C4×C139—41no—
619C4×C139—41no—
620C4×C139—41no—
621C4×C139—42no—
622C4×C139—42no—
623C4×C139—41no—
624C4×C139—42no—
625C4×C139—42no—
626C4×C139—42no—
627C2×C139—24no—
628C2×C139—24no—
629C2×C139—42no—
630C2×C139—44no—
631C2×C139—42no—
632C2×C139—81no—
633C2×C139—81no—
634C2×C139C2×#52511yescharacteristic
635C2×C139C2×#54611yescharacteristic
636C2×C139#348112yes—
637C2×C139#348411yescharacteristic
638C2×C139#351912yes—
639#36316C13911yesmaximal, characteristic, direct product factor, Sylow
640C139#3631611yescharacteristic, direct product factor, Sylow
641C2×#546C2×C13911yescharacteristic, complemented
642C22×C4×D4C2×C13911yescharacteristic, complemented
643#2853C2×C13911yescharacteristic, complemented
644#2849C2×C13911yescharacteristic, complemented
645#2847C2×C13911yescharacteristic, complemented
646#2591C2×C13911yescharacteristic, complemented
647#2579C2×C13911yescharacteristic, complemented
648#2464C2×C13912yescomplemented
649#2459C2×C13912yescomplemented
650#2457C2×C13912yescomplemented
651#2456C2×C13912yescomplemented
652#2450C2×C13912yescomplemented
653#2424C2×C13912yescomplemented
654#2411C2×C13911yescharacteristic, complemented
655#2410C2×C13911yescharacteristic, complemented
656#2404C2×C13911yescharacteristic, complemented
657#2403C2×C13911yescharacteristic, complemented
658#2364C2×C13912yescomplemented
659#2358C2×C13912yescomplemented
660#2342C2×C13911yescharacteristic, complemented
661C4×#120C2×C13911yescharacteristic, complemented
662#2297C2×C13911yescharacteristic, complemented
663C2×#386C2×C13911yescharacteristic, complemented
664C22×#41C22×C13911yescharacteristic
665C23×D4C22×C13911yescharacteristic
666C23×D4C22×C13911yescharacteristic
667C24×C4C22×C13911yescharacteristic
668C24×C4C22×C13911yescharacteristic, complemented
669#546—28no—
670C2×#124C22×C13911yescharacteristic, complemented
671C2×#123C22×C13911yescharacteristic
672C2×#123C22×C13911yescharacteristic, complemented
673C2×#123C22×C13912yescomplemented
674C2×C22⋊Q8C22×C13911yescharacteristic, complemented
675C2×#121C22×C13911yescharacteristic
676C2×#121C22×C13912yes—
677C2×#121C22×C13911yescharacteristic, complemented
678C2×#121C22×C13911yescharacteristic, complemented
679C2×#121C22×C13912yescomplemented
680C2×#120C22×C13911yescharacteristic
681C2×#120C22×C13912yes—
682C2×#120C22×C13911yescharacteristic
683C2×#120C22×C13911yescharacteristic
684C2×#120C22×C13911yescharacteristic, complemented
685C2×#120C22×C13911yescharacteristic, complemented
686C2×C4×D4—28no—
687C2×C4×D4C22×C13911yescharacteristic
688C2×C4×D4C22×C13912yes—
689C2×C4×D4C22×C13912yes—
690C2×C4×D4C22×C13911yescharacteristic, complemented
691C2×C4×D4C22×C13912yescomplemented
692C2×C4×D4C22×C13912yescomplemented
693C2×C4×D4C22×C13912yescomplemented
694C2×#117C22×C13911yescharacteristic, complemented
695C22×C4⋊C4C22×C13911yescharacteristic, complemented
696C22×C22⋊C4C22×C13911yescharacteristic
697C22×C22⋊C4C22×C13911yescharacteristic
698C22×C22⋊C4C22×C13911yescharacteristic, complemented
699C22×C22⋊C4C22×C13911yescharacteristic, complemented
700C22×C22⋊C4C22×C13912yescomplemented
701C22×C42C22×C13911yescharacteristic, complemented
702#400C22×C13912yescomplemented
703#398C22×C13912yescomplemented
704#396C22×C13912yescomplemented
705#396C22×C13912yescomplemented
706#394C22×C13912yescomplemented
707#394C22×C13912yescomplemented
708#394C22×C13912yescomplemented
709#393C22×C13912yescomplemented
710#392C22×C13912yes—
711#392C22×C13912yes—
712#392C22×C13912yescomplemented
713#392C22×C13912yescomplemented
714#391C22×C13912yescomplemented
715#390C22×C13912yescomplemented
716#390C22×C13912yescomplemented
717#388C22×C13912yescomplemented
718#388C22×C13912yescomplemented
719#388C22×C13912yescomplemented
720#388C22×C13912yescomplemented
721#388C22×C13912yescomplemented
722#388C22×C13912yescomplemented
723#388C22×C13912yescomplemented
724#387C22×C13912yescomplemented
725#387C22×C13912yescomplemented
726#387C22×C13912yescomplemented
727#386C22×C13911yescharacteristic
728#386C22×C13911yescharacteristic
729#386C22×C13911yescharacteristic
730#386C22×C13911yescharacteristic
731#386C22×C13911yescharacteristic
732#386C22×C13912yes—
733#386C22×C13912yes—
734#386C22×C13911yescharacteristic
735#386C22×C13911yescharacteristic, complemented
736#386C22×C13911yescharacteristic, complemented
737#386C22×C13911yescharacteristic, complemented
738#386C22×C13912yescomplemented
739#386C22×C13912yescomplemented
740#386C22×C13912yescomplemented
741#386C22×C13912yescomplemented
742#386C22×C13912yescomplemented
743#386C22×C13912yescomplemented
744#386C22×C13912yescomplemented
745#386C22×C13912yescomplemented
746#385C22×C13911yescharacteristic, complemented
747#385C22×C13911yescharacteristic, complemented
748#385C22×C13912yescomplemented
749#385C22×C13911yescharacteristic, complemented
750#385C22×C13912yescomplemented
751#385C22×C13912yescomplemented
752#385C22×C13912yescomplemented
753#381C22×C13912yescomplemented
754#381C22×C13911yescharacteristic, complemented
755#380C22×C13911yescharacteristic, complemented
756#380C22×C13912yescomplemented
757#379C22×C13911yescharacteristic
758#379C22×C13911yescharacteristic, complemented
759C4×C22⋊C4C22×C13911yescharacteristic, complemented
760C4×C22⋊C4C22×C13912yescomplemented
761C4×C22⋊C4C22×C13912yescomplemented
762C4×C22⋊C4C22×C13912yescomplemented
763C4×C22⋊C4C22×C13912yescomplemented
764C2×#95C22×C13912yescomplemented
765C25C23×C13911yescharacteristic
766C25C23×C13911yescharacteristic
767C25C23×C13911yescharacteristic
768C2×#41—24no—
769C2×#41—24no—
770C2×#41—42no—
771C22×Q8C23×C13911yescharacteristic
772C22×D4—24no—
773C22×D4—28no—
774C22×D4—24no—
775C22×D4—24no—
776C22×D4—42no—
777C22×D4C23×C13912yes—
778C22×D4C23×C13911yescharacteristic
779C22×D4C23×C13911yescharacteristic
780C22×D4C23×C13911yescharacteristic
781C22×D4C23×C13912yes—
782C22×D4C23×C13911yescharacteristic
783C22×D4C23×C13911yescharacteristic
784C22×D4C23×C13911yescharacteristic
785C22×D4C23×C13911yescharacteristic
786C22×D4C23×C13912yes—
787C22×D4C23×C13912yes—
788C22×D4C23×C13911yescharacteristic
789C22×D4C23×C13911yescharacteristic
790C22×D4C23×C13912yes—
791C23×C4—24no—
792C23×C4—24no—
793C23×C4—44no—
794C23×C4—44no—
795C23×C4C23×C13911yescharacteristic
796C23×C4C23×C13911yescharacteristic
797C23×C4C23×C13912yes—
798C23×C4C23×C13911yescharacteristic
799C23×C4C23×C13912yes—
800C23×C4C23×C13912yes—
801C23×C4C23×C13912yes—
802C23×C4C23×C13911yescharacteristic
803C23×C4C23×C13911yescharacteristic
804C23×C4C23×C13911yescharacteristic
805C23×C4C23×C13912yes—
806C23×C4C23×C13911yescharacteristic
807C23×C4C23×C13911yescharacteristic
808C23×C4C23×C13911yescharacteristic
809#124—24no—
810#123—24no—
811#123—24no—
812#123—44no—
813C22⋊Q8—24no—
814#121—28no—
815#121—24no—
816#121—24no—
817#121—24no—
818#121—44no—
819#120—24no—
820#120—24no—
821#120—28no—
822#120—24no—
823#120—42no—
824#120—42no—
825C4×D4—24no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—24no—
831C4×D4—44no—
832#117—42no—
833C2×C4⋊C4—24no—
834C2×C4⋊C4C23×C13912yes—
835C2×C4⋊C4C23×C13912yes—
836C2×C4⋊C4C23×C13911yescharacteristic
837C2×C4⋊C4C23×C13911yescharacteristic
838C2×C4⋊C4C23×C13912yes—
839C2×C4⋊C4C23×C13911yescharacteristic
840C2×C4⋊C4C23×C13912yes—
841C2×C4⋊C4C23×C13911yescharacteristic
842C2×C4⋊C4C23×C13912yes—
843C2×C4⋊C4C23×C13912yes—
844C2×C4⋊C4C23×C13912yes—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—44no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4D4×C13918yescomplemented
850C2×C22⋊C4C23×C13911yescharacteristic
851C2×C22⋊C4C23×C13911yescharacteristic
852C2×C22⋊C4C23×C13912yes—
853C2×C22⋊C4C23×C13912yes—
854C2×C22⋊C4C23×C13912yes—
855C2×C22⋊C4C23×C13911yescharacteristic
856C2×C22⋊C4C23×C13911yescharacteristic
857C2×C22⋊C4C23×C13911yescharacteristic
858C2×C22⋊C4C23×C13912yes—
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×C13912yes—
866C2×C22⋊C4C23×C13912yes—
867C2×C22⋊C4C23×C13912yes—
868C2×C22⋊C4C23×C13912yes—
869C2×C22⋊C4C23×C13911yescharacteristic
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×C13911yescharacteristic
882C2×C22⋊C4C23×C13911yescharacteristic
883C2×C22⋊C4C23×C13911yescharacteristic
884C2×C22⋊C4C23×C13911yescharacteristic
885C2×C42—24no—
886C2×C42C23×C13911yescharacteristic
887C2×C42C23×C13912yes—
888C2×C42C23×C13912yes—
889C2×C42C23×C13912yes—
890C2×C42C23×C13912yes—
891#95C23×C13912yes—
892#95C23×C13912yes—
893#95C23×C13912yes—
894#95C23×C13912yes—
895#95C23×C13912yes—
896#95C23×C13912yes—
897#95C23×C13912yes—
898#95C23×C13912yes—
899#95C23×C13912yes—
900#95C23×C13912yes—
901#95C23×C13912yes—
902#95C23×C13912yes—
903#95C23×C13912yes—
904#95C23×C13912yes—
905#95C23×C13912yes—
906#95C23×C13912yes—
907C24—22no—
908C24—24no—
909C24—24no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—24no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—41no—
921C24C2×D4×C13914yes—
922C24C24×C13911yescharacteristic
923C24C24×C13911yescharacteristic
924C24C24×C13911yescharacteristic
925C24C24×C13912yes—
926C24C24×C13911yescharacteristic
927C24C24×C13911yescharacteristic
928C24C24×C13911yescharacteristic
929#41—416no—
930C2×Q8—22no—
931C2×Q8—22no—
932C2×Q8—41no—
933C2×D4—232no—
934C2×D4—24no—
935C2×D4—24no—
936C2×D4—22no—
937C2×D4—24no—
938C2×D4—24no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—22no—
945C2×D4—24no—
946C2×D4—24no—
947C2×D4—24no—
948C2×D4—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—24no—
956C2×D4—24no—
957C2×D4—22no—
958C2×D4—22no—
959C2×D4—24no—
960C2×D4—22no—
961C2×D4—42no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—416no—
972C2×D4#41×C13914yes—
973C2×D4#41×C13918yescomplemented
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—24no—
979C22×C4—24no—
980C22×C4—22no—
981C22×C4—24no—
982C22×C4—24no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—24no—
986C22×C4—22no—
987C22×C4—24no—
988C22×C4—24no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—24no—
993C22×C4—24no—
994C22×C4—24no—
995C22×C4—24no—
996C22×C4—22no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—416no—
1010C22×C4—416no—
1011C22×C4C2×D4×C13914yes—
1012C22×C4C2×D4×C13914yes—
1013C22×C4C24×C13912yes—
1014C22×C4C24×C13912yes—
1015C22×C4C24×C13911yescharacteristic
1016C22×C4C24×C13911yescharacteristic
1017C22×C4C24×C13912yes—
1018C22×C4C24×C13911yescharacteristic
1019C22×C4C24×C13912yes—
1020C22×C4C24×C13912yes—
1021C22×C4C24×C13911yescharacteristic
1022C22×C4C24×C13911yescharacteristic
1023C22×C4C24×C13911yescharacteristic
1024C22×C4C24×C13911yescharacteristic
1025C22×C4C24×C13911yescharacteristic
1026C22×C4C24×C13911yescharacteristic
1027C22×C4C24×C13912yes—
1028C22×C4C24×C13912yes—
1029C4⋊C4—24no—
1030C4⋊C4—24no—
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—24no—
1036C4⋊C4—24no—
1037C4⋊C4—42no—
1038C4⋊C4—42no—
1039C4⋊C4—42no—
1040C22⋊C4—22no—
1041C22⋊C4—22no—
1042C22⋊C4—22no—
1043C22⋊C4—24no—
1044C22⋊C4—22no—
1045C22⋊C4—24no—
1046C22⋊C4—22no—
1047C22⋊C4—22no—
1048C22⋊C4—22no—
1049C22⋊C4—24no—
1050C22⋊C4—24no—
1051C22⋊C4—22no—
1052C22⋊C4—22no—
1053C22⋊C4—22no—
1054C22⋊C4—22no—
1055C22⋊C4—22no—
1056C22⋊C4—24no—
1057C22⋊C4—24no—
1058C22⋊C4—24no—
1059C22⋊C4—24no—
1060C22⋊C4—24no—
1061C22⋊C4—24no—
1062C22⋊C4—24no—
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⋊C4C2×D4×C13914yes—
1072C22⋊C4C2×D4×C13914yes—
1073C22⋊C4C2×D4×C13914yes—
1074C22⋊C4C2×D4×C13914yes—
1075C42—24no—
1076C42—24no—
1077C42—22no—
1078C42—42no—
1079C42—42no—
1080C23—22no—
1081C23—21no—
1082C23—22no—
1083C23—22no—
1084C23—21no—
1085C23—28no—
1086C23—28no—
1087C23—28no—
1088C23—22no—
1089C23—21no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—21no—
1095C23—22no—
1096C23—21no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—21no—
1102C23—21no—
1103C23—21no—
1104C23—22no—
1105C23—22no—
1106C23—21no—
1107C23—21no—
1108C23—22no—
1109C23—22no—
1110C23—21no—
1111C23—21no—
1112C23—44no—
1113C23—48no—
1114C23—48no—
1115C23—48no—
1116C23—48no—
1117C23—44no—
1118C23—48no—
1119C23—44no—
1120C23—44no—
1121C23—44no—
1122C23—82no—
1123C23—84no—
1124C23C22×D4×C13912yes—
1125C23C22×D4×C13912yes—
1126C23C22×D4×C13912yes—
1127C23C2×#41×C13914yes—
1128C23C2×#41×C13912yes—
1129C23C2×#41×C13914yes—
1130C23C2×#41×C13912yes—
1131C23H(5,𝔽2)×C13912yes—
1132C23C25×C13911yescharacteristic
1133Q8—44no—
1134D4—216no—
1135D4—216no—
1136D4—28no—
1137D4—44no—
1138D4—44no—
1139D4—44no—
1140D4—48no—
1141D4—44no—
1142D4—44no—
1143D4—44no—
1144D4—82no—
1145D4—82no—
1146D4—84no—
1147D4—84no—
1148C2×C4—28no—
1149C2×C4—28no—
1150C2×C4—28no—
1151C2×C4—22no—
1152C2×C4—22no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—22no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—22no—
1159C2×C4—21no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—22no—
1167C2×C4—21no—
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—22no—
1179C2×C4—22no—
1180C2×C4—22no—
1181C2×C4—22no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—44no—
1189C2×C4—48no—
1190C2×C4—48no—
1191C2×C4—44no—
1192C2×C4—48no—
1193C2×C4—48no—
1194C2×C4—44no—
1195C2×C4—44no—
1196C2×C4—44no—
1197C2×C4—82no—
1198C2×C4—84no—
1199C2×C4C22×D4×C13912yes—
1200C2×C4C22×D4×C13912yes—
1201C2×C4C22×D4×C13912yes—
1202C2×C4C22×D4×C13912yes—
1203C2×C4C2×#41×C13914yes—
1204C2×C4C2×#41×C13912yes—
1205C2×C4H(5,𝔽2)×C13914yes—
1206C22—22no—
1207C22—22no—
1208C22—24no—
1209C22—24no—
1210C22—22no—
1211C22—22no—
1212C22—24no—
1213C22—24no—
1214C22—22no—
1215C22—24no—
1216C22—22no—
1217C22—22no—
1218C22—24no—
1219C22—24no—
1220C22—22no—
1221C22—24no—
1222C22—416no—
1223C22—416no—
1224C22—41no—
1225C22—42no—
1226C22—42no—
1227C22—42no—
1228C22—42no—
1229C22—41no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—41no—
1234C22—41no—
1235C22—41no—
1236C22—41no—
1237C22—42no—
1238C22—42no—
1239C22—41no—
1240C22—41no—
1241C22—42no—
1242C22—42no—
1243C22—88no—
1244C22#525×C13914yes—
1245C22#546×C13914yes—
1246C22C23×D4×C13911yescharacteristic
1247C22C22×#41×C13912yes—
1248C22C22×#41×C13911yescharacteristic
1249C22C2×H(5,𝔽2)×C13911yescharacteristic
1250C22C2×H(5,𝔽2)×C13912yes—
1251C4—24no—
1252C4—22no—
1253C4—22no—
1254C4—22no—
1255C4—24no—
1256C4—22no—
1257C4—22no—
1258C4—41no—
1259C4—41no—
1260C4—41no—
1261C4—42no—
1262C4—42no—
1263C4—41no—
1264C4—42no—
1265C4—42no—
1266C4—42no—
1267C2—24no—
1268C2—24no—
1269C2—42no—
1270C2—44no—
1271C2—42no—
1272C2—81no—
1273C2—81no—
1274C2C2×#525×C13911yescharacteristic
1275C2C2×#546×C13911yescharacteristic
1276C2#3481×C13912yes—
1277C2#3484×C13911yescharacteristic
1278C2#3519×C13912yes—
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×#546×C139C2semidirect
2. C22×C4×D4×C139C2semidirect
3. #2853×C139C2semidirect
4. #2849×C139C2semidirect
5. #2847×C139C2semidirect
6. #2591×C139C2semidirect
7. #2579×C139C2semidirect
8. #2464×C139C2semidirect
9. #2459×C139C2semidirect
10. #2457×C139C2semidirect
11. #2456×C139C2semidirect
12. #2450×C139C2semidirect
13. #2424×C139C2semidirect
14. #2411×C139C2semidirect
15. #2410×C139C2semidirect
16. #2404×C139C2semidirect
17. #2403×C139C2semidirect
18. #2364×C139C2semidirect
19. #2358×C139C2semidirect
20. #2342×C139C2semidirect
21. C4×#120×C139C2semidirect
22. #2297×C139C2semidirect
23. C2×#386×C139C2semidirect
28. C24×C4×C139C22semidirect
30. C2×#124×C139C22semidirect
32. C2×#123×C139C22semidirect
33. C2×#123×C139C22semidirect
34. C2×C22⋊Q8×C139C22semidirect
37. C2×#121×C139C22semidirect
38. C2×#121×C139C22semidirect
39. C2×#121×C139C22semidirect
44. C2×#120×C139C22semidirect
45. C2×#120×C139C22semidirect
50. C2×C4×D4×C139C22semidirect
51. C2×C4×D4×C139C22semidirect
52. C2×C4×D4×C139C22semidirect
53. C2×C4×D4×C139C22semidirect
54. C2×#117×C139C22semidirect
55. C22×C4⋊C4×C139C22semidirect
58. C22×C22⋊C4×C139C22semidirect
59. C22×C22⋊C4×C139C22semidirect
60. C22×C22⋊C4×C139C22semidirect
61. C22×C42×C139C22semidirect
62. #400×C139C22semidirect
63. #398×C139C22semidirect
64. #396×C139C22semidirect
65. #396×C139C22semidirect
66. #394×C139C22semidirect
67. #394×C139C22semidirect
68. #394×C139C22semidirect
69. #393×C139C22semidirect
72. #392×C139C22semidirect
73. #392×C139C22semidirect
74. #391×C139C22semidirect
75. #390×C139C22semidirect
76. #390×C139C22semidirect
77. #388×C139C22semidirect
78. #388×C139C22semidirect
79. #388×C139C22semidirect
80. #388×C139C22semidirect
81. #388×C139C22semidirect
82. #388×C139C22semidirect
83. #388×C139C22semidirect
84. #387×C139C22semidirect
85. #387×C139C22semidirect
86. #387×C139C22semidirect
95. #386×C139C22semidirect
96. #386×C139C22semidirect
97. #386×C139C22semidirect
98. #386×C139C22semidirect
99. #386×C139C22semidirect
100. #386×C139C22semidirect
101. #386×C139C22semidirect
102. #386×C139C22semidirect
103. #386×C139C22semidirect
104. #386×C139C22semidirect
105. #386×C139C22semidirect
106. #385×C139C22semidirect
107. #385×C139C22semidirect
108. #385×C139C22semidirect
109. #385×C139C22semidirect
110. #385×C139C22semidirect
111. #385×C139C22semidirect
112. #385×C139C22semidirect
113. #381×C139C22semidirect
114. #381×C139C22semidirect
115. #380×C139C22semidirect
116. #380×C139C22semidirect
118. #379×C139C22semidirect
119. C4×C22⋊C4×C139C22semidirect
120. C4×C22⋊C4×C139C22semidirect
121. C4×C22⋊C4×C139C22semidirect
122. C4×C22⋊C4×C139C22semidirect
123. C4×C22⋊C4×C139C22semidirect
124. C2×#95×C139C22semidirect
209. C2×C22⋊C4×C139D4semidirect
333. C2×D4×C139#41semidirect
639. #36316C139direct (N × H)
640. C139#36316direct (N × H)
641. C2×#546C2×C139semidirect
642. C22×C4×D4C2×C139semidirect
643. #2853C2×C139semidirect
644. #2849C2×C139semidirect
645. #2847C2×C139semidirect
646. #2591C2×C139semidirect
647. #2579C2×C139semidirect
648. #2464C2×C139semidirect
649. #2459C2×C139semidirect
650. #2457C2×C139semidirect
651. #2456C2×C139semidirect
652. #2450C2×C139semidirect
653. #2424C2×C139semidirect
654. #2411C2×C139semidirect
655. #2410C2×C139semidirect
656. #2404C2×C139semidirect
657. #2403C2×C139semidirect
658. #2364C2×C139semidirect
659. #2358C2×C139semidirect
660. #2342C2×C139semidirect
661. C4×#120C2×C139semidirect
662. #2297C2×C139semidirect
663. C2×#386C2×C139semidirect
668. C24×C4C22×C139semidirect
670. C2×#124C22×C139semidirect
672. C2×#123C22×C139semidirect
673. C2×#123C22×C139semidirect
674. C2×C22⋊Q8C22×C139semidirect
677. C2×#121C22×C139semidirect
678. C2×#121C22×C139semidirect
679. C2×#121C22×C139semidirect
684. C2×#120C22×C139semidirect
685. C2×#120C22×C139semidirect
690. C2×C4×D4C22×C139semidirect
691. C2×C4×D4C22×C139semidirect
692. C2×C4×D4C22×C139semidirect
693. C2×C4×D4C22×C139semidirect
694. C2×#117C22×C139semidirect
695. C22×C4⋊C4C22×C139semidirect
698. C22×C22⋊C4C22×C139semidirect
699. C22×C22⋊C4C22×C139semidirect
700. C22×C22⋊C4C22×C139semidirect
701. C22×C42C22×C139semidirect
702. #400C22×C139semidirect
703. #398C22×C139semidirect
704. #396C22×C139semidirect
705. #396C22×C139semidirect
706. #394C22×C139semidirect
707. #394C22×C139semidirect
708. #394C22×C139semidirect
709. #393C22×C139semidirect
712. #392C22×C139semidirect
713. #392C22×C139semidirect
714. #391C22×C139semidirect
715. #390C22×C139semidirect
716. #390C22×C139semidirect
717. #388C22×C139semidirect
718. #388C22×C139semidirect
719. #388C22×C139semidirect
720. #388C22×C139semidirect
721. #388C22×C139semidirect
722. #388C22×C139semidirect
723. #388C22×C139semidirect
724. #387C22×C139semidirect
725. #387C22×C139semidirect
726. #387C22×C139semidirect
735. #386C22×C139semidirect
736. #386C22×C139semidirect
737. #386C22×C139semidirect
738. #386C22×C139semidirect
739. #386C22×C139semidirect
740. #386C22×C139semidirect
741. #386C22×C139semidirect
742. #386C22×C139semidirect
743. #386C22×C139semidirect
744. #386C22×C139semidirect
745. #386C22×C139semidirect
746. #385C22×C139semidirect
747. #385C22×C139semidirect
748. #385C22×C139semidirect
749. #385C22×C139semidirect
750. #385C22×C139semidirect
751. #385C22×C139semidirect
752. #385C22×C139semidirect
753. #381C22×C139semidirect
754. #381C22×C139semidirect
755. #380C22×C139semidirect
756. #380C22×C139semidirect
758. #379C22×C139semidirect
759. C4×C22⋊C4C22×C139semidirect
760. C4×C22⋊C4C22×C139semidirect
761. C4×C22⋊C4C22×C139semidirect
762. C4×C22⋊C4C22×C139semidirect
763. C4×C22⋊C4C22×C139semidirect
764. C2×#95C22×C139semidirect
849. C2×C22⋊C4D4×C139semidirect
973. C2×D4#41×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#546×C1392
C22×C4×D4×C1392
#2853×C1392
#2849×C1392
#2847×C1392
#2591×C1392
#2579×C1392
#2464×C1392
#2459×C1392
#2457×C1392
#2456×C1392
#2450×C1392
#2424×C1392
#2411×C1392
#2410×C1392
#2404×C1392
#2403×C1392
#2364×C1392
#2358×C1392
#2342×C1392
C4×#120×C1392
#2297×C1392
C2×#386×C1392
#36316139