Finite Group Databasebeta

← C139×#34309 #48028905

Subgroups — C139×#34309 #48028905

Order 35584.

3288 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#546×C139C211yesmaximal, characteristic
2C2×#520×C139C211yesmaximal, characteristic, complemented
3C2×#518×C139C211yesmaximal, characteristic, complemented
4#2367×C139C211yesmaximal, characteristic, complemented
5#2364×C139C212yesmaximal, complemented
6#2362×C139C211yesmaximal, characteristic, complemented
7#2361×C139C211yesmaximal, characteristic, complemented
8#2359×C139C212yesmaximal, complemented
9#2358×C139C212yesmaximal, complemented
10#2352×C139C211yesmaximal, characteristic, complemented
11#2349×C139C211yesmaximal, characteristic, complemented
12#2342×C139C212yesmaximal, complemented
13#2339×C139C211yesmaximal, characteristic, complemented
14D4×C22⋊C4×C139C211yesmaximal, characteristic, complemented
15#2324×C139C211yesmaximal, characteristic, complemented
16#2323×C139C211yesmaximal, characteristic, complemented
17#2322×C139C212yesmaximal, complemented
18#2321×C139C212yesmaximal, complemented
19C4×#124×C139C211yesmaximal, characteristic, complemented
20C4×#121×C139C212yesmaximal, complemented
21#2293×C139C211yesmaximal, characteristic, complemented
22C2×#388×C139C212yesmaximal, complemented
23C42×D4×C139C211yesmaximal, characteristic, complemented
24C22×#41×C139C2211yescharacteristic
25C23×D4×C139C2211yescharacteristic
26#546×C139C4116yescomplemented
27C2×#124×C139C2211yescharacteristic
28C2×#123×C139C2212yes—
29C2×C22⋊Q8×C139C2211yescharacteristic
30C2×#121×C139C2212yes—
31C2×#121×C139C2211yescharacteristic
32C2×#120×C139C2212yes—
33#520×C139—28no—
34#518×C139—28no—
35C2×C4×Q8×C139C2211yescharacteristic, complemented
36C2×C4×Q8×C139C2211yescharacteristic, complemented
37C2×C4×D4×C139C2211yescharacteristic
38C2×C4×D4×C139C2212yes—
39C2×C4×D4×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C2×C4×D4×C139C2211yescharacteristic
42C2×C4×D4×C139C2212yes—
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2212yescomplemented
48C2×C4×D4×C139C2212yescomplemented
49C2×C4×D4×C139C2212yescomplemented
50C2×#117×C139C2211yescharacteristic
51C2×#117×C139C2211yescharacteristic
52C2×#117×C139C2211yescharacteristic, complemented
53C2×#117×C139C2212yescomplemented
54C22×C4⋊C4×C139C2212yescomplemented
55C22×C4⋊C4×C139C2211yescharacteristic, complemented
56C22×C22⋊C4×C139C2212yes—
57C22×C22⋊C4×C139C2212yes—
58C22×C22⋊C4×C139C2212yes—
59C22×C22⋊C4×C139C2212yes—
60C22×C42×C139C2212yescomplemented
61#391×C139C2211yescharacteristic, complemented
62#391×C139C2211yescharacteristic, complemented
63#390×C139C2211yescharacteristic
64#390×C139C2211yescharacteristic
65#390×C139C2211yescharacteristic
66#390×C139C2211yescharacteristic
67#390×C139C2212yescomplemented
68#389×C139C2211yescharacteristic, complemented
69#389×C139C2211yescharacteristic, complemented
70#389×C139C2212yescomplemented
71#389×C139C2211yescharacteristic, complemented
72#389×C139C2211yescharacteristic, complemented
73#388×C139C2211yescharacteristic
74#388×C139C2212yes—
75#388×C139C2212yes—
76#388×C139C2212yes—
77#388×C139C2211yescharacteristic
78#388×C139C2212yes—
79#388×C139C2212yes—
80#388×C139C2212yescomplemented
81#388×C139C2212yescomplemented
82#388×C139C2212yescomplemented
83#388×C139C2212yescomplemented
84#388×C139C2211yescharacteristic, complemented
85#388×C139C2211yescharacteristic, complemented
86#388×C139C2212yescomplemented
87#388×C139C2212yescomplemented
88#387×C139C2212yescomplemented
89#387×C139C2212yescomplemented
90#387×C139C2212yescomplemented
91#386×C139C2212yes—
92#386×C139C2212yes—
93#386×C139C2212yes—
94#386×C139C2212yescomplemented
95#386×C139C2212yescomplemented
96#386×C139C2212yescomplemented
97#386×C139C2212yescomplemented
98#385×C139C2212yescomplemented
99#385×C139C2212yescomplemented
100#385×C139C2212yescomplemented
101#385×C139C2212yescomplemented
102#385×C139C2212yescomplemented
103#382×C139C2211yescharacteristic, complemented
104#381×C139C2212yescomplemented
105#380×C139C2211yescharacteristic
106#380×C139C2212yescomplemented
107#380×C139C2211yescharacteristic, complemented
108#379×C139C2212yes—
109C4×C4⋊C4×C139C2211yescharacteristic, complemented
110C4×C4⋊C4×C139C2211yescharacteristic, complemented
111C4×C4⋊C4×C139C2211yescharacteristic, complemented
112C4×C4⋊C4×C139C2211yescharacteristic, complemented
113C4×C4⋊C4×C139C2212yescomplemented
114C4×C22⋊C4×C139C2211yescharacteristic
115C4×C22⋊C4×C139C2212yescomplemented
116C4×C22⋊C4×C139C2212yescomplemented
117C4×C22⋊C4×C139C2212yescomplemented
118C4×C22⋊C4×C139C2211yescharacteristic, complemented
119C4×C22⋊C4×C139C2212yescomplemented
120C4×C22⋊C4×C139C2212yescomplemented
121C4×C22⋊C4×C139C2212yescomplemented
122C4×C22⋊C4×C139C2212yescomplemented
123C2×#95×C139C2212yescomplemented
124C2×#95×C139C2212yescomplemented
125C43×C139C2211yescharacteristic, complemented
126C25×C139C2312yes—
127C2×#41×C139—24no—
128C2×#41×C139—24no—
129C2×#41×C139C2×C418yescomplemented
130C22×Q8×C139C2311yescharacteristic
131C22×D4×C139—24no—
132C22×D4×C139—24no—
133C22×D4×C139C2×C418yescomplemented
134C22×D4×C139C2312yes—
135C22×D4×C139C2311yescharacteristic
136C22×D4×C139C2312yes—
137C22×D4×C139C2311yescharacteristic
138C22×D4×C139C2312yes—
139C22×D4×C139C2311yescharacteristic
140C23×C4×C139C2312yes—
141C23×C4×C139C2312yes—
142C23×C4×C139C2311yescharacteristic
143C23×C4×C139C2311yescharacteristic
144C23×C4×C139C2312yes—
145C23×C4×C139C2312yes—
146C23×C4×C139C2312yes—
147C23×C4×C139C2312yes—
148C23×C4×C139C2312yes—
149C23×C4×C139C2312yes—
150C23×C4×C139C2312yes—
151#124×C139C2×C418yescomplemented
152#123×C139C2×C4116yescomplemented
153C22⋊Q8×C139C2×C418yescomplemented
154#121×C139C2×C418yescomplemented
155#121×C139C2×C4116yescomplemented
156#120×C139C2×C4116yescomplemented
157C4×Q8×C139—24no—
158C4×Q8×C139—24no—
159C4×D4×C139—24no—
160C4×D4×C139—24no—
161C4×D4×C139—24no—
162C4×D4×C139—28no—
163C4×D4×C139—28no—
164C4×D4×C139—24no—
165C4×D4×C139—28no—
166C4×D4×C139—28no—
167C4×D4×C139—24no—
168C4×D4×C139—44no—
169C4×D4×C139C2×C418yescomplemented
170C4×D4×C139C2×C418yescomplemented
171C4×D4×C139D418yescomplemented
172#117×C139—24no—
173#117×C139—28no—
174#117×C139—24no—
175#117×C139—24no—
176C2×C4⋊C4×C139—28no—
177C2×C4⋊C4×C139—24no—
178C2×C4⋊C4×C139C2312yes—
179C2×C4⋊C4×C139C2311yescharacteristic
180C2×C4⋊C4×C139C2311yescharacteristic
181C2×C4⋊C4×C139C2312yes—
182C2×C4⋊C4×C139C2312yes—
183C2×C4⋊C4×C139C2311yescharacteristic
184C2×C4⋊C4×C139C2311yescharacteristic
185C2×C4⋊C4×C139C2311yescharacteristic
186C2×C4⋊C4×C139C2311yescharacteristic
187C2×C4⋊C4×C139C2311yescharacteristic
188C2×C4⋊C4×C139C2312yes—
189C2×C4⋊C4×C139C2312yes—
190C2×C4⋊C4×C139C2311yescharacteristic
191C2×C4⋊C4×C139C2311yescharacteristic
192C2×C4⋊C4×C139C2311yescharacteristic
193C2×C4⋊C4×C139C2311yescharacteristic
194C2×C4⋊C4×C139C2312yes—
195C2×C4⋊C4×C139C2311yescharacteristic
196C2×C22⋊C4×C139—28no—
197C2×C22⋊C4×C139—28no—
198C2×C22⋊C4×C139—44no—
199C2×C22⋊C4×C139C2×C4116yescomplemented
200C2×C22⋊C4×C139C2312yes—
201C2×C22⋊C4×C139C2311yescharacteristic
202C2×C22⋊C4×C139C2311yescharacteristic
203C2×C22⋊C4×C139C2311yescharacteristic
204C2×C22⋊C4×C139C2312yes—
205C2×C22⋊C4×C139C2312yes—
206C2×C22⋊C4×C139C2312yes—
207C2×C22⋊C4×C139C2312yes—
208C2×C22⋊C4×C139C2312yes—
209C2×C22⋊C4×C139C2311yescharacteristic
210C2×C22⋊C4×C139C2311yescharacteristic
211C2×C22⋊C4×C139C2312yes—
212C2×C22⋊C4×C139C2311yescharacteristic
213C2×C22⋊C4×C139C2312yes—
214C2×C22⋊C4×C139C2312yes—
215C2×C22⋊C4×C139C2311yescharacteristic
216C2×C22⋊C4×C139C2312yes—
217C2×C22⋊C4×C139C2312yes—
218C2×C22⋊C4×C139C2312yes—
219C2×C22⋊C4×C139C2311yescharacteristic
220C2×C22⋊C4×C139C2311yescharacteristic
221C2×C22⋊C4×C139C2312yes—
222C2×C22⋊C4×C139C2312yes—
223C2×C22⋊C4×C139C2312yes—
224C2×C22⋊C4×C139C2312yes—
225C2×C22⋊C4×C139C2311yescharacteristic
226C2×C22⋊C4×C139C2312yes—
227C2×C22⋊C4×C139C2312yes—
228C2×C42×C139—44no—
229C2×C42×C139C2311yescharacteristic
230C2×C42×C139C2312yes—
231C2×C42×C139C2312yes—
232C2×C42×C139C2311yescharacteristic
233C2×C42×C139C2311yescharacteristic
234C2×C42×C139C2312yes—
235C2×C42×C139C2312yes—
236C2×C42×C139C2311yescharacteristic
237C2×C42×C139C2312yes—
238C2×C42×C139C2312yes—
239C2×C42×C139C2311yescharacteristic
240C2×C42×C139C2311yescharacteristic
241C2×C42×C139C2311yescharacteristic
242C2×C42×C139C2311yescharacteristic
243C2×C42×C139C2311yescharacteristic
244#95×C139C2311yescharacteristic
245#95×C139C2311yescharacteristic
246#95×C139C2312yes—
247#95×C139C2312yes—
248#95×C139C2312yes—
249#95×C139C2312yes—
250#95×C139C2312yes—
251#95×C139C2312yes—
252#95×C139C2311yescharacteristic
253#95×C139C2311yescharacteristic
254#95×C139C2311yescharacteristic
255#95×C139C2312yes—
256#95×C139C2312yes—
257#95×C139C2312yes—
258#95×C139C2312yes—
259#95×C139C2311yescharacteristic
260#95×C139C2312yes—
261#95×C139C2312yes—
262#95×C139C2312yes—
263C24×C139—24no—
264C24×C139—24no—
265C24×C139—42no—
266C24×C139—42no—
267C24×C139—42no—
268C24×C139—42no—
269C24×C139C22×C418yes—
270C24×C139C2411yescharacteristic
271C24×C139C2412yes—
272C24×C139C2411yescharacteristic
273C24×C139C2412yes—
274#41×C139—232no—
275C2×Q8×C139—22no—
276C2×Q8×C139—22no—
277C2×Q8×C139C22×C414yes—
278C2×D4×C139—24no—
279C2×D4×C139—24no—
280C2×D4×C139—24no—
281C2×D4×C139—24no—
282C2×D4×C139—232no—
283C2×D4×C139—22no—
284C2×D4×C139—22no—
285C2×D4×C139—42no—
286C2×D4×C139—41no—
287C2×D4×C139—41no—
288C2×D4×C139—42no—
289C2×D4×C139C22×C418yes—
290C2×D4×C139C22×C418yes—
291C2×D4×C139C22×C414yes—
292C2×D4×C139C22×C414yes—
293C2×D4×C139C22×C418yes—
294C2×D4×C139C22×C414yes—
295C2×D4×C139C2×D414yes—
296C2×D4×C139#4114yes—
297C22×C4×C139—24no—
298C22×C4×C139—24no—
299C22×C4×C139—22no—
300C22×C4×C139—22no—
301C22×C4×C139—22no—
302C22×C4×C139—22no—
303C22×C4×C139—24no—
304C22×C4×C139—24no—
305C22×C4×C139—24no—
306C22×C4×C139—24no—
307C22×C4×C139—24no—
308C22×C4×C139—24no—
309C22×C4×C139—24no—
310C22×C4×C139—42no—
311C22×C4×C139—42no—
312C22×C4×C139—42no—
313C22×C4×C139—42no—
314C22×C4×C139—42no—
315C22×C4×C139—42no—
316C22×C4×C139—42no—
317C22×C4×C139—42no—
318C22×C4×C139—42no—
319C22×C4×C139—42no—
320C22×C4×C139—42no—
321C22×C4×C139—42no—
322C22×C4×C139—42no—
323C22×C4×C139—42no—
324C22×C4×C139—42no—
325C22×C4×C139C22×C418yes—
326C22×C4×C139C22×C414yes—
327C22×C4×C139C22×C414yes—
328C22×C4×C139C22×C418yes—
329C22×C4×C139C2×D418yes—
330C22×C4×C139C2411yescharacteristic
331C22×C4×C139C2412yes—
332C22×C4×C139C2411yescharacteristic
333C22×C4×C139C2412yes—
334C22×C4×C139C2411yescharacteristic
335C22×C4×C139C2411yescharacteristic
336C22×C4×C139C2412yes—
337C22×C4×C139C2411yescharacteristic
338C22×C4×C139C2411yescharacteristic
339C22×C4×C139C2411yescharacteristic
340C22×C4×C139C2412yes—
341C22×C4×C139C2412yes—
342C22×C4×C139C2411yescharacteristic
343C22×C4×C139C2411yescharacteristic
344C22×C4×C139C2411yescharacteristic
345C22×C4×C139C2412yes—
346C22×C4×C139C2411yescharacteristic
347C22×C4×C139C2411yescharacteristic
348C22×C4×C139C2411yescharacteristic
349C4⋊C4×C139—24no—
350C4⋊C4×C139—22no—
351C4⋊C4×C139—24no—
352C4⋊C4×C139—24no—
353C4⋊C4×C139—22no—
354C4⋊C4×C139—22no—
355C4⋊C4×C139—22no—
356C4⋊C4×C139—22no—
357C4⋊C4×C139—22no—
358C4⋊C4×C139—22no—
359C4⋊C4×C139—41no—
360C4⋊C4×C139—41no—
361C4⋊C4×C139—42no—
362C4⋊C4×C139—42no—
363C4⋊C4×C139C22×C414yes—
364C4⋊C4×C139C22×C414yes—
365C4⋊C4×C139C22×C418yes—
366C4⋊C4×C139C2×D414yes—
367C22⋊C4×C139—24no—
368C22⋊C4×C139—24no—
369C22⋊C4×C139—24no—
370C22⋊C4×C139—22no—
371C22⋊C4×C139—24no—
372C22⋊C4×C139—22no—
373C22⋊C4×C139—24no—
374C22⋊C4×C139—24no—
375C22⋊C4×C139—22no—
376C22⋊C4×C139—22no—
377C22⋊C4×C139—22no—
378C22⋊C4×C139—24no—
379C22⋊C4×C139—22no—
380C22⋊C4×C139—42no—
381C22⋊C4×C139—42no—
382C22⋊C4×C139—41no—
383C22⋊C4×C139—42no—
384C22⋊C4×C139—41no—
385C22⋊C4×C139—42no—
386C22⋊C4×C139—42no—
387C22⋊C4×C139C22×C414yes—
388C22⋊C4×C139C22×C418yes—
389C22⋊C4×C139C22×C418yes—
390C22⋊C4×C139C22×C418yes—
391C22⋊C4×C139C22×C418yes—
392C22⋊C4×C139C22×C414yes—
393C22⋊C4×C139C22×C418yes—
394C22⋊C4×C139C2×D418yes—
395C42×C139—24no—
396C42×C139—22no—
397C42×C139—24no—
398C42×C139—24no—
399C42×C139—22no—
400C42×C139—22no—
401C42×C139—22no—
402C42×C139—24no—
403C42×C139—42no—
404C42×C139—42no—
405C42×C139—41no—
406C42×C139—41no—
407C42×C139—41no—
408C42×C139C22×C414yes—
409C42×C139C2×D414yes—
410C23×C139—22no—
411C23×C139—22no—
412C23×C139—22no—
413C23×C139—22no—
414C23×C139—21no—
415C23×C139—21no—
416C23×C139—22no—
417C23×C139—21no—
418C23×C139—21no—
419C23×C139—22no—
420C23×C139—21no—
421C23×C139—22no—
422C23×C139—21no—
423C23×C139—21no—
424C23×C139—22no—
425C23×C139—22no—
426C23×C139—21no—
427C23×C139—21no—
428C23×C139—21no—
429C23×C139—22no—
430C23×C139—21no—
431C23×C139—21no—
432C23×C139—216no—
433C23×C139—48no—
434C23×C139—48no—
435C23×C139—84no—
436C23×C139—84no—
437C23×C139—84no—
438C23×C139—84no—
439C23×C139C23×C412yes—
440C23×C139C23×C414yes—
441C23×C139C23×C412yes—
442C23×C139C23×C414yes—
443C23×C139C22×D414yes—
444C23×C139C2×#4114yes—
445C23×C139C2511yescharacteristic
446Q8×C139—28no—
447D4×C139—216no—
448D4×C139—216no—
449D4×C139—28no—
450D4×C139—44no—
451D4×C139—48no—
452D4×C139C4×D4116yescomplemented
453C2×C4×C139—216no—
454C2×C4×C139—21no—
455C2×C4×C139—22no—
456C2×C4×C139—21no—
457C2×C4×C139—21no—
458C2×C4×C139—21no—
459C2×C4×C139—21no—
460C2×C4×C139—22no—
461C2×C4×C139—21no—
462C2×C4×C139—21no—
463C2×C4×C139—22no—
464C2×C4×C139—22no—
465C2×C4×C139—21no—
466C2×C4×C139—21no—
467C2×C4×C139—21no—
468C2×C4×C139—21no—
469C2×C4×C139—21no—
470C2×C4×C139—21no—
471C2×C4×C139—21no—
472C2×C4×C139—22no—
473C2×C4×C139—22no—
474C2×C4×C139—28no—
475C2×C4×C139—28no—
476C2×C4×C139—21no—
477C2×C4×C139—21no—
478C2×C4×C139—22no—
479C2×C4×C139—21no—
480C2×C4×C139—22no—
481C2×C4×C139—21no—
482C2×C4×C139—21no—
483C2×C4×C139—22no—
484C2×C4×C139—22no—
485C2×C4×C139—21no—
486C2×C4×C139—22no—
487C2×C4×C139—21no—
488C2×C4×C139—21no—
489C2×C4×C139—21no—
490C2×C4×C139—21no—
491C2×C4×C139—22no—
492C2×C4×C139—21no—
493C2×C4×C139—22no—
494C2×C4×C139—22no—
495C2×C4×C139—21no—
496C2×C4×C139—21no—
497C2×C4×C139—21no—
498C2×C4×C139—21no—
499C2×C4×C139—22no—
500C2×C4×C139—48no—
501C2×C4×C139—48no—
502C2×C4×C139—48no—
503C2×C4×C139—84no—
504C2×C4×C139—84no—
505C2×C4×C139—84no—
506C2×C4×C139—84no—
507C2×C4×C139—84no—
508C2×C4×C139C23×C412yes—
509C2×C4×C139C23×C412yes—
510C2×C4×C139C23×C414yes—
511C2×C4×C139C23×C412yes—
512C2×C4×C139C23×C414yes—
513C2×C4×C139C23×C412yes—
514C2×C4×C139C23×C412yes—
515C2×C4×C139C22×D412yes—
516C2×C4×C139C22×D414yes—
517C2×C4×C139C22×D412yes—
518C2×C4×C139C22×D412yes—
519C2×C4×C139C2×#4112yes—
520C2×C4×C139H(5,𝔽2)12yes—
521C22×C139—24no—
522C22×C139—24no—
523C22×C139—24no—
524C22×C139—24no—
525C22×C139—24no—
526C22×C139—24no—
527C22×C139—22no—
528C22×C139—22no—
529C22×C139—24no—
530C22×C139—22no—
531C22×C139—22no—
532C22×C139—24no—
533C22×C139—22no—
534C22×C139—24no—
535C22×C139—22no—
536C22×C139—41no—
537C22×C139—42no—
538C22×C139—41no—
539C22×C139—42no—
540C22×C139—41no—
541C22×C139—41no—
542C22×C139—41no—
543C22×C139—42no—
544C22×C139—41no—
545C22×C139—41no—
546C22×C139—42no—
547C22×C139—41no—
548C22×C139—816no—
549C22×C139C2×C4×D418yes—
550C22×C139C24×C411yescharacteristic
551C22×C139C23×D411yescharacteristic
552C22×C139C22×#4111yescharacteristic
553C22×C139C2×H(5,𝔽2)11yescharacteristic
554C22×C139#58511yescharacteristic
555C22×C139#58511yescharacteristic
556C22×C139#58511yescharacteristic
557C4×C139—22no—
558C4×C139—22no—
559C4×C139—24no—
560C4×C139—22no—
561C4×C139—22no—
562C4×C139—24no—
563C4×C139—22no—
564C4×C139—24no—
565C4×C139—22no—
566C4×C139—22no—
567C4×C139—41no—
568C4×C139—41no—
569C4×C139—42no—
570C4×C139—41no—
571C4×C139—42no—
572C4×C139—41no—
573C4×C139—42no—
574C4×C139—41no—
575C4×C139C2×C4×D414yes—
576C2×C139—28no—
577C2×C139—42no—
578C2×C139—44no—
579C2×C139—42no—
580C2×C139C22×C4×D411yescharacteristic
581C2×C139#342811yescharacteristic
582C2×C139C4×H(5,𝔽2)11yescharacteristic
583C2×C139#349611yescharacteristic
584C2×C139#350011yescharacteristic
585C2×C139#351311yescharacteristic
586C2×C139#352111yescharacteristic
587#34309C13911yesmaximal, characteristic, direct product factor, Sylow
588C139#3430911yescharacteristic, direct product factor, Sylow
589C2×#546C2×C13911yescharacteristic
590C2×#520C2×C13911yescharacteristic, complemented
591C2×#518C2×C13911yescharacteristic, complemented
592#2367C2×C13911yescharacteristic, complemented
593#2364C2×C13912yescomplemented
594#2362C2×C13911yescharacteristic, complemented
595#2361C2×C13911yescharacteristic, complemented
596#2359C2×C13912yescomplemented
597#2358C2×C13912yescomplemented
598#2352C2×C13911yescharacteristic, complemented
599#2349C2×C13911yescharacteristic, complemented
600#2342C2×C13912yescomplemented
601#2339C2×C13911yescharacteristic, complemented
602D4×C22⋊C4C2×C13911yescharacteristic, complemented
603#2324C2×C13911yescharacteristic, complemented
604#2323C2×C13911yescharacteristic, complemented
605#2322C2×C13912yescomplemented
606#2321C2×C13912yescomplemented
607C4×#124C2×C13911yescharacteristic, complemented
608C4×#121C2×C13912yescomplemented
609#2293C2×C13911yescharacteristic, complemented
610C2×#388C2×C13912yescomplemented
611C42×D4C2×C13911yescharacteristic, complemented
612C22×#41C22×C13911yescharacteristic
613C23×D4C22×C13911yescharacteristic
614#546C4×C139116yescomplemented
615C2×#124C22×C13911yescharacteristic
616C2×#123C22×C13912yes—
617C2×C22⋊Q8C22×C13911yescharacteristic
618C2×#121C22×C13911yescharacteristic
619C2×#121C22×C13912yes—
620C2×#120C22×C13912yes—
621#520—28no—
622#518—28no—
623C2×C4×Q8C22×C13911yescharacteristic, complemented
624C2×C4×Q8C22×C13911yescharacteristic, complemented
625C2×C4×D4C22×C13912yes—
626C2×C4×D4C22×C13911yescharacteristic
627C2×C4×D4C22×C13911yescharacteristic
628C2×C4×D4C22×C13911yescharacteristic
629C2×C4×D4C22×C13911yescharacteristic
630C2×C4×D4C22×C13912yes—
631C2×C4×D4C22×C13911yescharacteristic
632C2×C4×D4C22×C13911yescharacteristic
633C2×C4×D4C22×C13911yescharacteristic
634C2×C4×D4C22×C13911yescharacteristic
635C2×C4×D4C22×C13912yescomplemented
636C2×C4×D4C22×C13912yescomplemented
637C2×C4×D4C22×C13912yescomplemented
638C2×#117C22×C13911yescharacteristic
639C2×#117C22×C13911yescharacteristic
640C2×#117C22×C13911yescharacteristic, complemented
641C2×#117C22×C13912yescomplemented
642C22×C4⋊C4C22×C13912yescomplemented
643C22×C4⋊C4C22×C13911yescharacteristic, complemented
644C22×C22⋊C4C22×C13912yes—
645C22×C22⋊C4C22×C13912yes—
646C22×C22⋊C4C22×C13912yes—
647C22×C22⋊C4C22×C13912yes—
648C22×C42C22×C13912yescomplemented
649#391C22×C13911yescharacteristic, complemented
650#391C22×C13911yescharacteristic, complemented
651#390C22×C13911yescharacteristic
652#390C22×C13911yescharacteristic
653#390C22×C13911yescharacteristic
654#390C22×C13911yescharacteristic
655#390C22×C13912yescomplemented
656#389C22×C13911yescharacteristic, complemented
657#389C22×C13912yescomplemented
658#389C22×C13911yescharacteristic, complemented
659#389C22×C13911yescharacteristic, complemented
660#389C22×C13911yescharacteristic, complemented
661#388C22×C13912yes—
662#388C22×C13912yes—
663#388C22×C13912yes—
664#388C22×C13911yescharacteristic
665#388C22×C13912yes—
666#388C22×C13912yes—
667#388C22×C13911yescharacteristic
668#388C22×C13912yescomplemented
669#388C22×C13912yescomplemented
670#388C22×C13912yescomplemented
671#388C22×C13912yescomplemented
672#388C22×C13911yescharacteristic, complemented
673#388C22×C13912yescomplemented
674#388C22×C13912yescomplemented
675#388C22×C13911yescharacteristic, complemented
676#387C22×C13912yescomplemented
677#387C22×C13912yescomplemented
678#387C22×C13912yescomplemented
679#386C22×C13912yes—
680#386C22×C13912yes—
681#386C22×C13912yes—
682#386C22×C13912yescomplemented
683#386C22×C13912yescomplemented
684#386C22×C13912yescomplemented
685#386C22×C13912yescomplemented
686#385C22×C13912yescomplemented
687#385C22×C13912yescomplemented
688#385C22×C13912yescomplemented
689#385C22×C13912yescomplemented
690#385C22×C13912yescomplemented
691#382C22×C13911yescharacteristic, complemented
692#381C22×C13912yescomplemented
693#380C22×C13911yescharacteristic
694#380C22×C13911yescharacteristic, complemented
695#380C22×C13912yescomplemented
696#379C22×C13912yes—
697C4×C4⋊C4C22×C13911yescharacteristic, complemented
698C4×C4⋊C4C22×C13911yescharacteristic, complemented
699C4×C4⋊C4C22×C13911yescharacteristic, complemented
700C4×C4⋊C4C22×C13912yescomplemented
701C4×C4⋊C4C22×C13911yescharacteristic, complemented
702C4×C22⋊C4C22×C13911yescharacteristic
703C4×C22⋊C4C22×C13912yescomplemented
704C4×C22⋊C4C22×C13911yescharacteristic, complemented
705C4×C22⋊C4C22×C13912yescomplemented
706C4×C22⋊C4C22×C13912yescomplemented
707C4×C22⋊C4C22×C13912yescomplemented
708C4×C22⋊C4C22×C13912yescomplemented
709C4×C22⋊C4C22×C13912yescomplemented
710C4×C22⋊C4C22×C13912yescomplemented
711C2×#95C22×C13912yescomplemented
712C2×#95C22×C13912yescomplemented
713C43C22×C13911yescharacteristic, complemented
714C25C23×C13912yes—
715C2×#41—24no—
716C2×#41—24no—
717C2×#41C2×C4×C13918yescomplemented
718C22×Q8C23×C13911yescharacteristic
719C22×D4—24no—
720C22×D4—24no—
721C22×D4C2×C4×C13918yescomplemented
722C22×D4C23×C13912yes—
723C22×D4C23×C13911yescharacteristic
724C22×D4C23×C13912yes—
725C22×D4C23×C13911yescharacteristic
726C22×D4C23×C13912yes—
727C22×D4C23×C13911yescharacteristic
728C23×C4C23×C13912yes—
729C23×C4C23×C13912yes—
730C23×C4C23×C13911yescharacteristic
731C23×C4C23×C13911yescharacteristic
732C23×C4C23×C13912yes—
733C23×C4C23×C13912yes—
734C23×C4C23×C13912yes—
735C23×C4C23×C13912yes—
736C23×C4C23×C13912yes—
737C23×C4C23×C13912yes—
738C23×C4C23×C13912yes—
739#124C2×C4×C13918yescomplemented
740#123C2×C4×C139116yescomplemented
741C22⋊Q8C2×C4×C13918yescomplemented
742#121C2×C4×C13918yescomplemented
743#121C2×C4×C139116yescomplemented
744#120C2×C4×C139116yescomplemented
745C4×Q8—24no—
746C4×Q8—24no—
747C4×D4—24no—
748C4×D4—24no—
749C4×D4—24no—
750C4×D4—28no—
751C4×D4—28no—
752C4×D4—24no—
753C4×D4—28no—
754C4×D4—28no—
755C4×D4—24no—
756C4×D4—44no—
757C4×D4C2×C4×C13918yescomplemented
758C4×D4C2×C4×C13918yescomplemented
759C4×D4D4×C13918yescomplemented
760#117—24no—
761#117—28no—
762#117—24no—
763#117—24no—
764C2×C4⋊C4—28no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4C23×C13912yes—
767C2×C4⋊C4C23×C13911yescharacteristic
768C2×C4⋊C4C23×C13911yescharacteristic
769C2×C4⋊C4C23×C13912yes—
770C2×C4⋊C4C23×C13912yes—
771C2×C4⋊C4C23×C13911yescharacteristic
772C2×C4⋊C4C23×C13911yescharacteristic
773C2×C4⋊C4C23×C13911yescharacteristic
774C2×C4⋊C4C23×C13911yescharacteristic
775C2×C4⋊C4C23×C13911yescharacteristic
776C2×C4⋊C4C23×C13912yes—
777C2×C4⋊C4C23×C13912yes—
778C2×C4⋊C4C23×C13911yescharacteristic
779C2×C4⋊C4C23×C13911yescharacteristic
780C2×C4⋊C4C23×C13911yescharacteristic
781C2×C4⋊C4C23×C13911yescharacteristic
782C2×C4⋊C4C23×C13912yes—
783C2×C4⋊C4C23×C13911yescharacteristic
784C2×C22⋊C4—28no—
785C2×C22⋊C4—28no—
786C2×C22⋊C4—44no—
787C2×C22⋊C4C2×C4×C139116yescomplemented
788C2×C22⋊C4C23×C13912yes—
789C2×C22⋊C4C23×C13911yescharacteristic
790C2×C22⋊C4C23×C13911yescharacteristic
791C2×C22⋊C4C23×C13911yescharacteristic
792C2×C22⋊C4C23×C13912yes—
793C2×C22⋊C4C23×C13912yes—
794C2×C22⋊C4C23×C13912yes—
795C2×C22⋊C4C23×C13912yes—
796C2×C22⋊C4C23×C13912yes—
797C2×C22⋊C4C23×C13911yescharacteristic
798C2×C22⋊C4C23×C13911yescharacteristic
799C2×C22⋊C4C23×C13912yes—
800C2×C22⋊C4C23×C13911yescharacteristic
801C2×C22⋊C4C23×C13912yes—
802C2×C22⋊C4C23×C13912yes—
803C2×C22⋊C4C23×C13911yescharacteristic
804C2×C22⋊C4C23×C13912yes—
805C2×C22⋊C4C23×C13912yes—
806C2×C22⋊C4C23×C13912yes—
807C2×C22⋊C4C23×C13911yescharacteristic
808C2×C22⋊C4C23×C13911yescharacteristic
809C2×C22⋊C4C23×C13912yes—
810C2×C22⋊C4C23×C13912yes—
811C2×C22⋊C4C23×C13912yes—
812C2×C22⋊C4C23×C13912yes—
813C2×C22⋊C4C23×C13911yescharacteristic
814C2×C22⋊C4C23×C13912yes—
815C2×C22⋊C4C23×C13912yes—
816C2×C42—44no—
817C2×C42C23×C13912yes—
818C2×C42C23×C13911yescharacteristic
819C2×C42C23×C13911yescharacteristic
820C2×C42C23×C13912yes—
821C2×C42C23×C13912yes—
822C2×C42C23×C13911yescharacteristic
823C2×C42C23×C13912yes—
824C2×C42C23×C13911yescharacteristic
825C2×C42C23×C13911yescharacteristic
826C2×C42C23×C13911yescharacteristic
827C2×C42C23×C13911yescharacteristic
828C2×C42C23×C13912yes—
829C2×C42C23×C13912yes—
830C2×C42C23×C13911yescharacteristic
831C2×C42C23×C13911yescharacteristic
832#95C23×C13911yescharacteristic
833#95C23×C13911yescharacteristic
834#95C23×C13912yes—
835#95C23×C13912yes—
836#95C23×C13912yes—
837#95C23×C13912yes—
838#95C23×C13912yes—
839#95C23×C13912yes—
840#95C23×C13911yescharacteristic
841#95C23×C13911yescharacteristic
842#95C23×C13911yescharacteristic
843#95C23×C13912yes—
844#95C23×C13912yes—
845#95C23×C13912yes—
846#95C23×C13912yes—
847#95C23×C13911yescharacteristic
848#95C23×C13912yes—
849#95C23×C13912yes—
850#95C23×C13912yes—
851C24—24no—
852C24—24no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24C22×C4×C13918yes—
858C24C24×C13911yescharacteristic
859C24C24×C13912yes—
860C24C24×C13911yescharacteristic
861C24C24×C13912yes—
862#41—232no—
863C2×Q8—22no—
864C2×Q8—22no—
865C2×Q8C22×C4×C13914yes—
866C2×D4—24no—
867C2×D4—24no—
868C2×D4—24no—
869C2×D4—24no—
870C2×D4—232no—
871C2×D4—22no—
872C2×D4—22no—
873C2×D4—42no—
874C2×D4—41no—
875C2×D4—41no—
876C2×D4—42no—
877C2×D4C22×C4×C13918yes—
878C2×D4C22×C4×C13918yes—
879C2×D4C22×C4×C13914yes—
880C2×D4C22×C4×C13914yes—
881C2×D4C22×C4×C13918yes—
882C2×D4C22×C4×C13914yes—
883C2×D4C2×D4×C13914yes—
884C2×D4#41×C13914yes—
885C22×C4—24no—
886C22×C4—24no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—24no—
892C22×C4—24no—
893C22×C4—24no—
894C22×C4—24no—
895C22×C4—24no—
896C22×C4—24no—
897C22×C4—24no—
898C22×C4—42no—
899C22×C4—42no—
900C22×C4—42no—
901C22×C4—42no—
902C22×C4—42no—
903C22×C4—42no—
904C22×C4—42no—
905C22×C4—42no—
906C22×C4—42no—
907C22×C4—42no—
908C22×C4—42no—
909C22×C4—42no—
910C22×C4—42no—
911C22×C4—42no—
912C22×C4—42no—
913C22×C4C22×C4×C13918yes—
914C22×C4C22×C4×C13914yes—
915C22×C4C22×C4×C13914yes—
916C22×C4C22×C4×C13918yes—
917C22×C4C2×D4×C13918yes—
918C22×C4C24×C13911yescharacteristic
919C22×C4C24×C13912yes—
920C22×C4C24×C13911yescharacteristic
921C22×C4C24×C13912yes—
922C22×C4C24×C13911yescharacteristic
923C22×C4C24×C13911yescharacteristic
924C22×C4C24×C13912yes—
925C22×C4C24×C13911yescharacteristic
926C22×C4C24×C13911yescharacteristic
927C22×C4C24×C13911yescharacteristic
928C22×C4C24×C13912yes—
929C22×C4C24×C13912yes—
930C22×C4C24×C13911yescharacteristic
931C22×C4C24×C13911yescharacteristic
932C22×C4C24×C13911yescharacteristic
933C22×C4C24×C13912yes—
934C22×C4C24×C13911yescharacteristic
935C22×C4C24×C13911yescharacteristic
936C22×C4C24×C13911yescharacteristic
937C4⋊C4—24no—
938C4⋊C4—22no—
939C4⋊C4—24no—
940C4⋊C4—24no—
941C4⋊C4—22no—
942C4⋊C4—22no—
943C4⋊C4—22no—
944C4⋊C4—22no—
945C4⋊C4—22no—
946C4⋊C4—22no—
947C4⋊C4—41no—
948C4⋊C4—41no—
949C4⋊C4—42no—
950C4⋊C4—42no—
951C4⋊C4C22×C4×C13914yes—
952C4⋊C4C22×C4×C13914yes—
953C4⋊C4C22×C4×C13918yes—
954C4⋊C4C2×D4×C13914yes—
955C22⋊C4—24no—
956C22⋊C4—24no—
957C22⋊C4—24no—
958C22⋊C4—22no—
959C22⋊C4—24no—
960C22⋊C4—22no—
961C22⋊C4—24no—
962C22⋊C4—24no—
963C22⋊C4—22no—
964C22⋊C4—22no—
965C22⋊C4—22no—
966C22⋊C4—24no—
967C22⋊C4—22no—
968C22⋊C4—42no—
969C22⋊C4—42no—
970C22⋊C4—41no—
971C22⋊C4—42no—
972C22⋊C4—41no—
973C22⋊C4—42no—
974C22⋊C4—42no—
975C22⋊C4C22×C4×C13914yes—
976C22⋊C4C22×C4×C13918yes—
977C22⋊C4C22×C4×C13918yes—
978C22⋊C4C22×C4×C13918yes—
979C22⋊C4C22×C4×C13918yes—
980C22⋊C4C22×C4×C13914yes—
981C22⋊C4C22×C4×C13918yes—
982C22⋊C4C2×D4×C13918yes—
983C42—24no—
984C42—22no—
985C42—24no—
986C42—24no—
987C42—22no—
988C42—22no—
989C42—22no—
990C42—24no—
991C42—42no—
992C42—42no—
993C42—41no—
994C42—41no—
995C42—41no—
996C42C22×C4×C13914yes—
997C42C2×D4×C13914yes—
998C23—22no—
999C23—22no—
1000C23—22no—
1001C23—22no—
1002C23—21no—
1003C23—21no—
1004C23—22no—
1005C23—21no—
1006C23—21no—
1007C23—22no—
1008C23—21no—
1009C23—22no—
1010C23—21no—
1011C23—21no—
1012C23—22no—
1013C23—22no—
1014C23—21no—
1015C23—21no—
1016C23—21no—
1017C23—22no—
1018C23—21no—
1019C23—21no—
1020C23—216no—
1021C23—48no—
1022C23—48no—
1023C23—84no—
1024C23—84no—
1025C23—84no—
1026C23—84no—
1027C23C23×C4×C13912yes—
1028C23C23×C4×C13914yes—
1029C23C23×C4×C13912yes—
1030C23C23×C4×C13914yes—
1031C23C22×D4×C13914yes—
1032C23C2×#41×C13914yes—
1033C23C25×C13911yescharacteristic
1034Q8—28no—
1035D4—216no—
1036D4—216no—
1037D4—28no—
1038D4—44no—
1039D4—48no—
1040D4C4×D4×C139116yescomplemented
1041C2×C4—216no—
1042C2×C4—21no—
1043C2×C4—22no—
1044C2×C4—21no—
1045C2×C4—21no—
1046C2×C4—21no—
1047C2×C4—21no—
1048C2×C4—22no—
1049C2×C4—21no—
1050C2×C4—21no—
1051C2×C4—22no—
1052C2×C4—22no—
1053C2×C4—21no—
1054C2×C4—21no—
1055C2×C4—21no—
1056C2×C4—21no—
1057C2×C4—21no—
1058C2×C4—21no—
1059C2×C4—21no—
1060C2×C4—22no—
1061C2×C4—22no—
1062C2×C4—28no—
1063C2×C4—28no—
1064C2×C4—21no—
1065C2×C4—21no—
1066C2×C4—22no—
1067C2×C4—21no—
1068C2×C4—22no—
1069C2×C4—21no—
1070C2×C4—21no—
1071C2×C4—22no—
1072C2×C4—22no—
1073C2×C4—21no—
1074C2×C4—22no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—22no—
1080C2×C4—21no—
1081C2×C4—22no—
1082C2×C4—22no—
1083C2×C4—21no—
1084C2×C4—21no—
1085C2×C4—21no—
1086C2×C4—21no—
1087C2×C4—22no—
1088C2×C4—48no—
1089C2×C4—48no—
1090C2×C4—48no—
1091C2×C4—84no—
1092C2×C4—84no—
1093C2×C4—84no—
1094C2×C4—84no—
1095C2×C4—84no—
1096C2×C4C23×C4×C13912yes—
1097C2×C4C23×C4×C13912yes—
1098C2×C4C23×C4×C13914yes—
1099C2×C4C23×C4×C13912yes—
1100C2×C4C23×C4×C13914yes—
1101C2×C4C23×C4×C13912yes—
1102C2×C4C23×C4×C13912yes—
1103C2×C4C22×D4×C13912yes—
1104C2×C4C22×D4×C13914yes—
1105C2×C4C22×D4×C13912yes—
1106C2×C4C22×D4×C13912yes—
1107C2×C4C2×#41×C13912yes—
1108C2×C4H(5,𝔽2)×C13912yes—
1109C22—24no—
1110C22—24no—
1111C22—24no—
1112C22—24no—
1113C22—24no—
1114C22—24no—
1115C22—22no—
1116C22—22no—
1117C22—24no—
1118C22—22no—
1119C22—22no—
1120C22—24no—
1121C22—22no—
1122C22—24no—
1123C22—22no—
1124C22—41no—
1125C22—42no—
1126C22—41no—
1127C22—42no—
1128C22—41no—
1129C22—41no—
1130C22—41no—
1131C22—42no—
1132C22—41no—
1133C22—41no—
1134C22—42no—
1135C22—41no—
1136C22—816no—
1137C22C2×C4×D4×C13918yes—
1138C22C24×C4×C13911yescharacteristic
1139C22C23×D4×C13911yescharacteristic
1140C22C22×#41×C13911yescharacteristic
1141C22C2×H(5,𝔽2)×C13911yescharacteristic
1142C22#585×C13911yescharacteristic
1143C22#585×C13911yescharacteristic
1144C22#585×C13911yescharacteristic
1145C4—22no—
1146C4—22no—
1147C4—24no—
1148C4—22no—
1149C4—22no—
1150C4—24no—
1151C4—22no—
1152C4—24no—
1153C4—22no—
1154C4—22no—
1155C4—41no—
1156C4—41no—
1157C4—42no—
1158C4—42no—
1159C4—41no—
1160C4—41no—
1161C4—42no—
1162C4—41no—
1163C4C2×C4×D4×C13914yes—
1164C2—28no—
1165C2—42no—
1166C2—44no—
1167C2—42no—
1168C2C22×C4×D4×C13911yescharacteristic
1169C2#3428×C13911yescharacteristic
1170C2C4×H(5,𝔽2)×C13911yescharacteristic
1171C2#3496×C13911yescharacteristic
1172C2#3500×C13911yescharacteristic
1173C2#3513×C13911yescharacteristic
1174C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#546×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×#518×C139C2semidirect
4. #2367×C139C2semidirect
5. #2364×C139C2semidirect
6. #2362×C139C2semidirect
7. #2361×C139C2semidirect
8. #2359×C139C2semidirect
9. #2358×C139C2semidirect
10. #2352×C139C2semidirect
11. #2349×C139C2semidirect
12. #2342×C139C2semidirect
13. #2339×C139C2semidirect
14. D4×C22⋊C4×C139C2semidirect
15. #2324×C139C2semidirect
16. #2323×C139C2semidirect
17. #2322×C139C2semidirect
18. #2321×C139C2semidirect
19. C4×#124×C139C2semidirect
20. C4×#121×C139C2semidirect
21. #2293×C139C2semidirect
22. C2×#388×C139C2semidirect
23. C42×D4×C139C2semidirect
26. #546×C139C4semidirect
35. C2×C4×Q8×C139C22semidirect
36. C2×C4×Q8×C139C22semidirect
47. C2×C4×D4×C139C22semidirect
48. C2×C4×D4×C139C22semidirect
49. C2×C4×D4×C139C22semidirect
52. C2×#117×C139C22semidirect
53. C2×#117×C139C22semidirect
54. C22×C4⋊C4×C139C22semidirect
55. C22×C4⋊C4×C139C22semidirect
60. C22×C42×C139C22semidirect
61. #391×C139C22semidirect
62. #391×C139C22semidirect
67. #390×C139C22semidirect
68. #389×C139C22semidirect
69. #389×C139C22semidirect
70. #389×C139C22semidirect
71. #389×C139C22semidirect
72. #389×C139C22semidirect
80. #388×C139C22semidirect
81. #388×C139C22semidirect
82. #388×C139C22semidirect
83. #388×C139C22semidirect
84. #388×C139C22semidirect
85. #388×C139C22semidirect
86. #388×C139C22semidirect
87. #388×C139C22semidirect
88. #387×C139C22semidirect
89. #387×C139C22semidirect
90. #387×C139C22semidirect
94. #386×C139C22semidirect
95. #386×C139C22semidirect
96. #386×C139C22semidirect
97. #386×C139C22semidirect
98. #385×C139C22semidirect
99. #385×C139C22semidirect
100. #385×C139C22semidirect
101. #385×C139C22semidirect
102. #385×C139C22semidirect
103. #382×C139C22semidirect
104. #381×C139C22semidirect
106. #380×C139C22semidirect
107. #380×C139C22semidirect
109. C4×C4⋊C4×C139C22semidirect
110. C4×C4⋊C4×C139C22semidirect
111. C4×C4⋊C4×C139C22semidirect
112. C4×C4⋊C4×C139C22semidirect
113. C4×C4⋊C4×C139C22semidirect
115. C4×C22⋊C4×C139C22semidirect
116. C4×C22⋊C4×C139C22semidirect
117. C4×C22⋊C4×C139C22semidirect
118. C4×C22⋊C4×C139C22semidirect
119. C4×C22⋊C4×C139C22semidirect
120. C4×C22⋊C4×C139C22semidirect
121. C4×C22⋊C4×C139C22semidirect
122. C4×C22⋊C4×C139C22semidirect
123. C2×#95×C139C22semidirect
124. C2×#95×C139C22semidirect
125. C43×C139C22semidirect
129. C2×#41×C139C2×C4semidirect
133. C22×D4×C139C2×C4semidirect
151. #124×C139C2×C4semidirect
152. #123×C139C2×C4semidirect
153. C22⋊Q8×C139C2×C4semidirect
154. #121×C139C2×C4semidirect
155. #121×C139C2×C4semidirect
156. #120×C139C2×C4semidirect
169. C4×D4×C139C2×C4semidirect
170. C4×D4×C139C2×C4semidirect
171. C4×D4×C139D4semidirect
199. C2×C22⋊C4×C139C2×C4semidirect
452. D4×C139C4×D4semidirect
587. #34309C139direct (N × H)
588. C139#34309direct (N × H)
590. C2×#520C2×C139semidirect
591. C2×#518C2×C139semidirect
592. #2367C2×C139semidirect
593. #2364C2×C139semidirect
594. #2362C2×C139semidirect
595. #2361C2×C139semidirect
596. #2359C2×C139semidirect
597. #2358C2×C139semidirect
598. #2352C2×C139semidirect
599. #2349C2×C139semidirect
600. #2342C2×C139semidirect
601. #2339C2×C139semidirect
602. D4×C22⋊C4C2×C139semidirect
603. #2324C2×C139semidirect
604. #2323C2×C139semidirect
605. #2322C2×C139semidirect
606. #2321C2×C139semidirect
607. C4×#124C2×C139semidirect
608. C4×#121C2×C139semidirect
609. #2293C2×C139semidirect
610. C2×#388C2×C139semidirect
611. C42×D4C2×C139semidirect
614. #546C4×C139semidirect
623. C2×C4×Q8C22×C139semidirect
624. C2×C4×Q8C22×C139semidirect
635. C2×C4×D4C22×C139semidirect
636. C2×C4×D4C22×C139semidirect
637. C2×C4×D4C22×C139semidirect
640. C2×#117C22×C139semidirect
641. C2×#117C22×C139semidirect
642. C22×C4⋊C4C22×C139semidirect
643. C22×C4⋊C4C22×C139semidirect
648. C22×C42C22×C139semidirect
649. #391C22×C139semidirect
650. #391C22×C139semidirect
655. #390C22×C139semidirect
656. #389C22×C139semidirect
657. #389C22×C139semidirect
658. #389C22×C139semidirect
659. #389C22×C139semidirect
660. #389C22×C139semidirect
668. #388C22×C139semidirect
669. #388C22×C139semidirect
670. #388C22×C139semidirect
671. #388C22×C139semidirect
672. #388C22×C139semidirect
673. #388C22×C139semidirect
674. #388C22×C139semidirect
675. #388C22×C139semidirect
676. #387C22×C139semidirect
677. #387C22×C139semidirect
678. #387C22×C139semidirect
682. #386C22×C139semidirect
683. #386C22×C139semidirect
684. #386C22×C139semidirect
685. #386C22×C139semidirect
686. #385C22×C139semidirect
687. #385C22×C139semidirect
688. #385C22×C139semidirect
689. #385C22×C139semidirect
690. #385C22×C139semidirect
691. #382C22×C139semidirect
692. #381C22×C139semidirect
694. #380C22×C139semidirect
695. #380C22×C139semidirect
697. C4×C4⋊C4C22×C139semidirect
698. C4×C4⋊C4C22×C139semidirect
699. C4×C4⋊C4C22×C139semidirect
700. C4×C4⋊C4C22×C139semidirect
701. C4×C4⋊C4C22×C139semidirect
703. C4×C22⋊C4C22×C139semidirect
704. C4×C22⋊C4C22×C139semidirect
705. C4×C22⋊C4C22×C139semidirect
706. C4×C22⋊C4C22×C139semidirect
707. C4×C22⋊C4C22×C139semidirect
708. C4×C22⋊C4C22×C139semidirect
709. C4×C22⋊C4C22×C139semidirect
710. C4×C22⋊C4C22×C139semidirect
711. C2×#95C22×C139semidirect
712. C2×#95C22×C139semidirect
713. C43C22×C139semidirect
717. C2×#41C2×C4×C139semidirect
721. C22×D4C2×C4×C139semidirect
739. #124C2×C4×C139semidirect
740. #123C2×C4×C139semidirect
741. C22⋊Q8C2×C4×C139semidirect
742. #121C2×C4×C139semidirect
743. #121C2×C4×C139semidirect
744. #120C2×C4×C139semidirect
757. C4×D4C2×C4×C139semidirect
758. C4×D4C2×C4×C139semidirect
759. C4×D4D4×C139semidirect
787. C2×C22⋊C4C2×C4×C139semidirect
1040. D4C4×D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#546×C1392
C2×#520×C1392
C2×#518×C1392
#2367×C1392
#2364×C1392
#2362×C1392
#2361×C1392
#2359×C1392
#2358×C1392
#2352×C1392
#2349×C1392
#2342×C1392
#2339×C1392
D4×C22⋊C4×C1392
#2324×C1392
#2323×C1392
#2322×C1392
#2321×C1392
C4×#124×C1392
C4×#121×C1392
#2293×C1392
C2×#388×C1392
C42×D4×C1392
#34309139