Finite Group Databasebeta

← C139×#36796 #48031392

Subgroups — C139×#36796 #48031392

Order 35584.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2852×C139C211yesmaximal, characteristic, complemented
2#2851×C139C211yesmaximal, characteristic, complemented
3#2808×C139C211yesmaximal, characteristic, complemented
4#2798×C139C211yesmaximal, characteristic, complemented
5#2796×C139C211yesmaximal, characteristic, complemented
6#2795×C139C211yesmaximal, characteristic, complemented
7#2793×C139C211yesmaximal, characteristic, complemented
8#2785×C139C211yesmaximal, characteristic, complemented
9#2783×C139C211yesmaximal, characteristic, complemented
10#2783×C139C211yesmaximal, characteristic, complemented
11#2781×C139C211yesmaximal, characteristic, complemented
12#2777×C139C211yesmaximal, characteristic, complemented
13#2775×C139C211yesmaximal, characteristic, complemented
14#2773×C139C211yesmaximal, characteristic, complemented
15#2727×C139C211yesmaximal, characteristic, complemented
16#2721×C139C211yesmaximal, characteristic, complemented
17#2718×C139C211yesmaximal, characteristic, complemented
18#2694×C139C211yesmaximal, characteristic, complemented
19#2626×C139C211yesmaximal, characteristic, complemented
20#2622×C139C211yesmaximal, characteristic
21#2505×C139C211yesmaximal, characteristic, complemented
22#2498×C139C211yesmaximal, characteristic, complemented
23#2482×C139C211yesmaximal, characteristic, complemented
24#2480×C139C211yesmaximal, characteristic, complemented
25#2450×C139C211yesmaximal, characteristic, complemented
26#2438×C139C211yesmaximal, characteristic, complemented
27#2418×C139C211yesmaximal, characteristic
28#2411×C139C211yesmaximal, characteristic
29#2322×C139C211yesmaximal, characteristic, complemented
30#2317×C139C211yesmaximal, characteristic, complemented
31C2×#388×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic, complemented
34C2×#125×C139C2211yescharacteristic, complemented
35C2×#123×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic
38C2×#120×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×#117×C139C2211yescharacteristic
41C2×#117×C139C2211yescharacteristic
42C22×C4⋊C4×C139C2211yescharacteristic
43C22×C22⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C22⋊C4×C139C2211yescharacteristic
46C22×C42×C139C2211yescharacteristic
47#400×C139C2211yescharacteristic, complemented
48#400×C139C2211yescharacteristic, complemented
49#400×C139C2211yescharacteristic, complemented
50#400×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#399×C139C2211yescharacteristic
54#399×C139C2211yescharacteristic
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#399×C139C2211yescharacteristic
58#399×C139C2211yescharacteristic, complemented
59#398×C139C2211yescharacteristic, complemented
60#398×C139C2211yescharacteristic, complemented
61#398×C139C2211yescharacteristic, complemented
62#398×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#397×C139C2211yescharacteristic
65#397×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic
71#397×C139C2211yescharacteristic
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic, complemented
75#396×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic
80#396×C139C2211yescharacteristic
81#396×C139C2211yescharacteristic
82#396×C139C2211yescharacteristic, complemented
83#395×C139C2211yescharacteristic, complemented
84#394×C139C2211yescharacteristic
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#393×C139C2211yescharacteristic
93#393×C139C2211yescharacteristic
94#393×C139C2211yescharacteristic, complemented
95#391×C139C2211yescharacteristic, complemented
96#391×C139C2211yescharacteristic, complemented
97#390×C139C2211yescharacteristic
98#390×C139C2211yescharacteristic
99#389×C139C2211yescharacteristic, complemented
100#389×C139C2211yescharacteristic, complemented
101#389×C139C2211yescharacteristic, complemented
102#389×C139C2211yescharacteristic, complemented
103#389×C139C2211yescharacteristic, complemented
104#389×C139C2211yescharacteristic, complemented
105#389×C139C2211yescharacteristic, complemented
106#389×C139C2211yescharacteristic, complemented
107#389×C139C2211yescharacteristic, complemented
108#389×C139C2211yescharacteristic, complemented
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic
126#388×C139C2211yescharacteristic
127#388×C139C2211yescharacteristic
128#388×C139C2211yescharacteristic, complemented
129#388×C139C2211yescharacteristic, complemented
130#388×C139C2211yescharacteristic, complemented
131#388×C139C2211yescharacteristic, complemented
132#388×C139C2211yescharacteristic, complemented
133#388×C139C2211yescharacteristic, complemented
134#388×C139C2211yescharacteristic, complemented
135#387×C139C2211yescharacteristic, complemented
136#387×C139C2211yescharacteristic, complemented
137#387×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#387×C139C2211yescharacteristic, complemented
141#387×C139C2211yescharacteristic, complemented
142#387×C139C2211yescharacteristic, complemented
143#387×C139C2211yescharacteristic, complemented
144#387×C139C2211yescharacteristic, complemented
145#387×C139C2211yescharacteristic, complemented
146#387×C139C2211yescharacteristic, complemented
147#387×C139C2211yescharacteristic, complemented
148#387×C139C2211yescharacteristic, complemented
149#387×C139C2211yescharacteristic, complemented
150#387×C139C2211yescharacteristic, complemented
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#386×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#385×C139C2211yescharacteristic
164#385×C139C2211yescharacteristic
165#385×C139C2211yescharacteristic
166#385×C139C2211yescharacteristic, complemented
167#385×C139C2211yescharacteristic, complemented
168#385×C139C2211yescharacteristic, complemented
169#384×C139C2211yescharacteristic, complemented
170#384×C139C2211yescharacteristic, complemented
171#383×C139C2211yescharacteristic, complemented
172#382×C139C2211yescharacteristic, complemented
173#382×C139C2211yescharacteristic, complemented
174#382×C139C2211yescharacteristic, complemented
175#382×C139C2211yescharacteristic, complemented
176#381×C139C2211yescharacteristic
177#380×C139C2211yescharacteristic
178#380×C139C2211yescharacteristic
179#380×C139C2211yescharacteristic
180#380×C139C2211yescharacteristic, complemented
181#379×C139C2211yescharacteristic
182#379×C139C2211yescharacteristic
183#379×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199#126×C139—42no—
200#126×C139—42no—
201#125×C139—42no—
202#123×C139—24no—
203#123×C139—42no—
204C22⋊Q8×C139—42no—
205#120×C139—42no—
206C4×D4×C139—42no—
207#117×C139—24no—
208#117×C139—42no—
209C2×C4⋊C4×C139—42no—
210C2×C4⋊C4×C139C2311yescharacteristic
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C4⋊C4×C139C2311yescharacteristic
213C2×C4⋊C4×C139C2311yescharacteristic
214C2×C4⋊C4×C139C2311yescharacteristic
215C2×C4⋊C4×C139C2311yescharacteristic
216C2×C4⋊C4×C139C2311yescharacteristic
217C2×C4⋊C4×C139C2311yescharacteristic
218C2×C4⋊C4×C139C2311yescharacteristic
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139—24no—
251C2×C22⋊C4×C139—42no—
252C2×C22⋊C4×C139—42no—
253C2×C22⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139C2311yescharacteristic
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C42×C139—42no—
298C2×C42×C139C2311yescharacteristic
299C2×C42×C139C2311yescharacteristic
300C2×C42×C139C2311yescharacteristic
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303C2×C42×C139C2311yescharacteristic
304C2×C42×C139C2311yescharacteristic
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309#95×C139C2311yescharacteristic
310#95×C139C2311yescharacteristic
311#95×C139C2311yescharacteristic
312#95×C139C2311yescharacteristic
313#95×C139C2311yescharacteristic
314#95×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357C24×C139—22no—
358C24×C139—22no—
359C24×C139—22no—
360C24×C139—41no—
361C24×C139—41no—
362C24×C139—41no—
363C24×C139—41no—
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C24×C139C2411yescharacteristic
368C2×Q8×C139—41no—
369C2×Q8×C139—41no—
370C2×Q8×C139—41no—
371C2×D4×C139—22no—
372C2×D4×C139—22no—
373C2×D4×C139—22no—
374C2×D4×C139—41no—
375C2×D4×C139—41no—
376C2×D4×C139—41no—
377C2×D4×C139—41no—
378C2×D4×C139—41no—
379C2×D4×C139—41no—
380C22×C4×C139—22no—
381C22×C4×C139—22no—
382C22×C4×C139—22no—
383C22×C4×C139—22no—
384C22×C4×C139—22no—
385C22×C4×C139—22no—
386C22×C4×C139—22no—
387C22×C4×C139—22no—
388C22×C4×C139—41no—
389C22×C4×C139—41no—
390C22×C4×C139—41no—
391C22×C4×C139—41no—
392C22×C4×C139—41no—
393C22×C4×C139—41no—
394C22×C4×C139—41no—
395C22×C4×C139—41no—
396C22×C4×C139—41no—
397C22×C4×C139—41no—
398C22×C4×C139—41no—
399C22×C4×C139—41no—
400C22×C4×C139#4114yes—
401C22×C4×C139C2411yescharacteristic
402C22×C4×C139C2411yescharacteristic
403C22×C4×C139C2411yescharacteristic
404C22×C4×C139C2411yescharacteristic
405C22×C4×C139C2411yescharacteristic
406C22×C4×C139C2411yescharacteristic
407C22×C4×C139C2411yescharacteristic
408C22×C4×C139C2411yescharacteristic
409C22×C4×C139C2411yescharacteristic
410C22×C4×C139C2411yescharacteristic
411C22×C4×C139C2411yescharacteristic
412C22×C4×C139C2411yescharacteristic
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C22×C4×C139C2411yescharacteristic
417C22×C4×C139C2411yescharacteristic
418C22×C4×C139C2411yescharacteristic
419C22×C4×C139C2411yescharacteristic
420C22×C4×C139C2411yescharacteristic
421C22×C4×C139C2411yescharacteristic
422C22×C4×C139C2411yescharacteristic
423C22×C4×C139C2411yescharacteristic
424C22×C4×C139C2411yescharacteristic
425C22×C4×C139C2411yescharacteristic
426C22×C4×C139C2411yescharacteristic
427C22×C4×C139C2411yescharacteristic
428C4⋊C4×C139—22no—
429C4⋊C4×C139—22no—
430C4⋊C4×C139—22no—
431C4⋊C4×C139—22no—
432C4⋊C4×C139—22no—
433C4⋊C4×C139—22no—
434C4⋊C4×C139—22no—
435C4⋊C4×C139—41no—
436C4⋊C4×C139—41no—
437C4⋊C4×C139—41no—
438C4⋊C4×C139—41no—
439C4⋊C4×C139—41no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139—41no—
447C4⋊C4×C139—41no—
448C4⋊C4×C139—41no—
449C4⋊C4×C139—41no—
450C4⋊C4×C139—41no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139—41no—
460C4⋊C4×C139—41no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C22⋊C4×C139—22no—
469C22⋊C4×C139—22no—
470C22⋊C4×C139—22no—
471C22⋊C4×C139—22no—
472C22⋊C4×C139—22no—
473C22⋊C4×C139—22no—
474C22⋊C4×C139—22no—
475C22⋊C4×C139—22no—
476C22⋊C4×C139—22no—
477C22⋊C4×C139—22no—
478C22⋊C4×C139—22no—
479C22⋊C4×C139—22no—
480C22⋊C4×C139—22no—
481C22⋊C4×C139—22no—
482C22⋊C4×C139—22no—
483C22⋊C4×C139—22no—
484C22⋊C4×C139—41no—
485C22⋊C4×C139—41no—
486C22⋊C4×C139—41no—
487C22⋊C4×C139—41no—
488C22⋊C4×C139—41no—
489C22⋊C4×C139—41no—
490C22⋊C4×C139—41no—
491C22⋊C4×C139—41no—
492C22⋊C4×C139—41no—
493C22⋊C4×C139—41no—
494C22⋊C4×C139—41no—
495C22⋊C4×C139—41no—
496C22⋊C4×C139—41no—
497C22⋊C4×C139—41no—
498C22⋊C4×C139—41no—
499C22⋊C4×C139—41no—
500C22⋊C4×C139—41no—
501C22⋊C4×C139—41no—
502C22⋊C4×C139—41no—
503C22⋊C4×C139—41no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C42×C139—22no—
513C42×C139—22no—
514C42×C139—22no—
515C42×C139—22no—
516C42×C139—41no—
517C42×C139—41no—
518C42×C139—41no—
519C42×C139—41no—
520C42×C139—41no—
521C42×C139—41no—
522C42×C139—41no—
523C23×C139—21no—
524C23×C139—21no—
525C23×C139—21no—
526C23×C139—21no—
527C23×C139—21no—
528C23×C139—21no—
529C23×C139—21no—
530C23×C139—21no—
531C23×C139—21no—
532C23×C139—21no—
533C23×C139—21no—
534C23×C139—21no—
535C23×C139—21no—
536C23×C139—21no—
537C23×C139—21no—
538C23×C139—21no—
539C23×C139—21no—
540C23×C139—21no—
541C23×C139—21no—
542C23×C139—21no—
543C23×C139—21no—
544C23×C139—21no—
545C23×C139—21no—
546C23×C139—21no—
547C23×C139—21no—
548C23×C139—44no—
549C23×C139—44no—
550C23×C139—44no—
551C23×C139—82no—
552C23×C139—82no—
553C23×C139—82no—
554C23×C139—82no—
555C23×C139C2×#4112yes—
556C23×C139H(5,𝔽2)12yes—
557C23×C1392−1+412yes—
558C23×C139C2511yescharacteristic
559Q8×C139—82no—
560D4×C139—44no—
561D4×C139—82no—
562D4×C139—82no—
563C2×C4×C139—28no—
564C2×C4×C139—21no—
565C2×C4×C139—21no—
566C2×C4×C139—21no—
567C2×C4×C139—21no—
568C2×C4×C139—21no—
569C2×C4×C139—21no—
570C2×C4×C139—21no—
571C2×C4×C139—21no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—44no—
643C2×C4×C139—44no—
644C2×C4×C139—44no—
645C2×C4×C139—82no—
646C2×C4×C139—82no—
647C2×C4×C139—82no—
648C2×C4×C139C2×#4112yes—
649C2×C4×C139C2×#4112yes—
650C2×C4×C139H(5,𝔽2)12yes—
651C22×C139—22no—
652C22×C139—22no—
653C22×C139—22no—
654C22×C139—22no—
655C22×C139—22no—
656C22×C139—22no—
657C22×C139—41no—
658C22×C139—41no—
659C22×C139—41no—
660C22×C139—41no—
661C22×C139—41no—
662C22×C139—41no—
663C22×C139—41no—
664C22×C139—41no—
665C22×C139—41no—
666C22×C139—41no—
667C22×C139—41no—
668C22×C139—41no—
669C22×C139—41no—
670C22×C139—41no—
671C22×C139—41no—
672C22×C139—41no—
673C22×C139—41no—
674C22×C139—41no—
675C22×C139—41no—
676C22×C139—41no—
677C22×C139—41no—
678C22×C139—88no—
679C22×C139#53914yes—
680C22×C139C22×#4111yescharacteristic
681C22×C139C2×H(5,𝔽2)11yescharacteristic
682C22×C139C2×H(5,𝔽2)11yescharacteristic
683C22×C139C2×2−1+411yescharacteristic
684C22×C139#58511yescharacteristic
685C22×C139#58511yescharacteristic
686C22×C139#58511yescharacteristic
687C4×C139—22no—
688C4×C139—22no—
689C4×C139—22no—
690C4×C139—41no—
691C4×C139—41no—
692C4×C139—41no—
693C4×C139—41no—
694C4×C139—41no—
695C4×C139—41no—
696C4×C139—41no—
697C4×C139—41no—
698C4×C139—41no—
699C4×C139—41no—
700C4×C139—41no—
701C4×C139—41no—
702C4×C139—41no—
703C4×C139—41no—
704C4×C139—41no—
705C4×C139—41no—
706C4×C139—41no—
707C4×C139—41no—
708C4×C139—41no—
709C4×C139—41no—
710C4×C139—41no—
711C4×C139—41no—
712C4×C139—41no—
713C4×C139—41no—
714C2×C139—24no—
715C2×C139—81no—
716C2×C139—81no—
717C2×C139—81no—
718C2×C139C2×#53911yescharacteristic
719C2×C139#349311yescharacteristic
720C2×C139#350611yescharacteristic
721C2×C139#353511yescharacteristic
722C2×C139#354211yescharacteristic
723C2×C139#354511yescharacteristic
724C2×C139#356411yescharacteristic
725#36796C13911yesmaximal, characteristic, direct product factor, Sylow
726C139#3679611yescharacteristic, direct product factor, Sylow
727#2852C2×C13911yescharacteristic, complemented
728#2851C2×C13911yescharacteristic, complemented
729#2808C2×C13911yescharacteristic, complemented
730#2798C2×C13911yescharacteristic, complemented
731#2796C2×C13911yescharacteristic, complemented
732#2795C2×C13911yescharacteristic, complemented
733#2793C2×C13911yescharacteristic, complemented
734#2785C2×C13911yescharacteristic, complemented
735#2783C2×C13911yescharacteristic, complemented
736#2783C2×C13911yescharacteristic, complemented
737#2781C2×C13911yescharacteristic, complemented
738#2777C2×C13911yescharacteristic, complemented
739#2775C2×C13911yescharacteristic, complemented
740#2773C2×C13911yescharacteristic, complemented
741#2727C2×C13911yescharacteristic, complemented
742#2721C2×C13911yescharacteristic, complemented
743#2718C2×C13911yescharacteristic, complemented
744#2694C2×C13911yescharacteristic, complemented
745#2626C2×C13911yescharacteristic, complemented
746#2622C2×C13911yescharacteristic
747#2505C2×C13911yescharacteristic, complemented
748#2498C2×C13911yescharacteristic, complemented
749#2482C2×C13911yescharacteristic, complemented
750#2480C2×C13911yescharacteristic, complemented
751#2450C2×C13911yescharacteristic, complemented
752#2438C2×C13911yescharacteristic, complemented
753#2418C2×C13911yescharacteristic
754#2411C2×C13911yescharacteristic
755#2322C2×C13911yescharacteristic, complemented
756#2317C2×C13911yescharacteristic, complemented
757C2×#388C2×C13911yescharacteristic, complemented
758C2×#126C22×C13911yescharacteristic
759C2×#126C22×C13911yescharacteristic, complemented
760C2×#125C22×C13911yescharacteristic, complemented
761C2×#123C22×C13911yescharacteristic
762C2×#123C22×C13911yescharacteristic
763C2×C22⋊Q8C22×C13911yescharacteristic
764C2×#120C22×C13911yescharacteristic
765C2×C4×D4C22×C13911yescharacteristic
766C2×#117C22×C13911yescharacteristic
767C2×#117C22×C13911yescharacteristic
768C22×C4⋊C4C22×C13911yescharacteristic
769C22×C22⋊C4C22×C13911yescharacteristic
770C22×C22⋊C4C22×C13911yescharacteristic
771C22×C22⋊C4C22×C13911yescharacteristic
772C22×C42C22×C13911yescharacteristic
773#400C22×C13911yescharacteristic, complemented
774#400C22×C13911yescharacteristic, complemented
775#400C22×C13911yescharacteristic, complemented
776#400C22×C13911yescharacteristic, complemented
777#400C22×C13911yescharacteristic, complemented
778#400C22×C13911yescharacteristic, complemented
779#399C22×C13911yescharacteristic
780#399C22×C13911yescharacteristic
781#399C22×C13911yescharacteristic
782#399C22×C13911yescharacteristic
783#399C22×C13911yescharacteristic
784#399C22×C13911yescharacteristic, complemented
785#398C22×C13911yescharacteristic, complemented
786#398C22×C13911yescharacteristic, complemented
787#398C22×C13911yescharacteristic, complemented
788#398C22×C13911yescharacteristic, complemented
789#398C22×C13911yescharacteristic, complemented
790#397C22×C13911yescharacteristic
791#397C22×C13911yescharacteristic
792#397C22×C13911yescharacteristic
793#397C22×C13911yescharacteristic
794#397C22×C13911yescharacteristic
795#397C22×C13911yescharacteristic
796#397C22×C13911yescharacteristic
797#397C22×C13911yescharacteristic
798#397C22×C13911yescharacteristic
799#397C22×C13911yescharacteristic
800#397C22×C13911yescharacteristic, complemented
801#396C22×C13911yescharacteristic
802#396C22×C13911yescharacteristic
803#396C22×C13911yescharacteristic
804#396C22×C13911yescharacteristic
805#396C22×C13911yescharacteristic
806#396C22×C13911yescharacteristic
807#396C22×C13911yescharacteristic
808#396C22×C13911yescharacteristic, complemented
809#395C22×C13911yescharacteristic, complemented
810#394C22×C13911yescharacteristic
811#394C22×C13911yescharacteristic
812#394C22×C13911yescharacteristic
813#394C22×C13911yescharacteristic
814#394C22×C13911yescharacteristic
815#394C22×C13911yescharacteristic
816#394C22×C13911yescharacteristic
817#394C22×C13911yescharacteristic
818#393C22×C13911yescharacteristic
819#393C22×C13911yescharacteristic
820#393C22×C13911yescharacteristic, complemented
821#391C22×C13911yescharacteristic, complemented
822#391C22×C13911yescharacteristic, complemented
823#390C22×C13911yescharacteristic
824#390C22×C13911yescharacteristic
825#389C22×C13911yescharacteristic, complemented
826#389C22×C13911yescharacteristic, complemented
827#389C22×C13911yescharacteristic, complemented
828#389C22×C13911yescharacteristic, complemented
829#389C22×C13911yescharacteristic, complemented
830#389C22×C13911yescharacteristic, complemented
831#389C22×C13911yescharacteristic, complemented
832#389C22×C13911yescharacteristic, complemented
833#389C22×C13911yescharacteristic, complemented
834#389C22×C13911yescharacteristic, complemented
835#388C22×C13911yescharacteristic
836#388C22×C13911yescharacteristic
837#388C22×C13911yescharacteristic
838#388C22×C13911yescharacteristic
839#388C22×C13911yescharacteristic
840#388C22×C13911yescharacteristic
841#388C22×C13911yescharacteristic
842#388C22×C13911yescharacteristic
843#388C22×C13911yescharacteristic
844#388C22×C13911yescharacteristic
845#388C22×C13911yescharacteristic
846#388C22×C13911yescharacteristic
847#388C22×C13911yescharacteristic
848#388C22×C13911yescharacteristic
849#388C22×C13911yescharacteristic
850#388C22×C13911yescharacteristic
851#388C22×C13911yescharacteristic
852#388C22×C13911yescharacteristic
853#388C22×C13911yescharacteristic
854#388C22×C13911yescharacteristic, complemented
855#388C22×C13911yescharacteristic, complemented
856#388C22×C13911yescharacteristic, complemented
857#388C22×C13911yescharacteristic, complemented
858#388C22×C13911yescharacteristic, complemented
859#388C22×C13911yescharacteristic, complemented
860#388C22×C13911yescharacteristic, complemented
861#387C22×C13911yescharacteristic, complemented
862#387C22×C13911yescharacteristic, complemented
863#387C22×C13911yescharacteristic, complemented
864#387C22×C13911yescharacteristic, complemented
865#387C22×C13911yescharacteristic, complemented
866#387C22×C13911yescharacteristic, complemented
867#387C22×C13911yescharacteristic, complemented
868#387C22×C13911yescharacteristic, complemented
869#387C22×C13911yescharacteristic, complemented
870#387C22×C13911yescharacteristic, complemented
871#387C22×C13911yescharacteristic, complemented
872#387C22×C13911yescharacteristic, complemented
873#387C22×C13911yescharacteristic, complemented
874#387C22×C13911yescharacteristic, complemented
875#387C22×C13911yescharacteristic, complemented
876#387C22×C13911yescharacteristic, complemented
877#386C22×C13911yescharacteristic
878#386C22×C13911yescharacteristic
879#386C22×C13911yescharacteristic
880#386C22×C13911yescharacteristic
881#386C22×C13911yescharacteristic
882#385C22×C13911yescharacteristic
883#385C22×C13911yescharacteristic
884#385C22×C13911yescharacteristic
885#385C22×C13911yescharacteristic
886#385C22×C13911yescharacteristic
887#385C22×C13911yescharacteristic
888#385C22×C13911yescharacteristic
889#385C22×C13911yescharacteristic
890#385C22×C13911yescharacteristic
891#385C22×C13911yescharacteristic
892#385C22×C13911yescharacteristic, complemented
893#385C22×C13911yescharacteristic, complemented
894#385C22×C13911yescharacteristic, complemented
895#384C22×C13911yescharacteristic, complemented
896#384C22×C13911yescharacteristic, complemented
897#383C22×C13911yescharacteristic, complemented
898#382C22×C13911yescharacteristic, complemented
899#382C22×C13911yescharacteristic, complemented
900#382C22×C13911yescharacteristic, complemented
901#382C22×C13911yescharacteristic, complemented
902#381C22×C13911yescharacteristic
903#380C22×C13911yescharacteristic
904#380C22×C13911yescharacteristic
905#380C22×C13911yescharacteristic
906#380C22×C13911yescharacteristic, complemented
907#379C22×C13911yescharacteristic
908#379C22×C13911yescharacteristic
909#379C22×C13911yescharacteristic
910C4×C22⋊C4C22×C13911yescharacteristic
911C2×#95C22×C13911yescharacteristic
912C2×#95C22×C13911yescharacteristic
913C25C23×C13911yescharacteristic
914C22×Q8C23×C13911yescharacteristic
915C22×D4C23×C13911yescharacteristic
916C22×D4C23×C13911yescharacteristic
917C22×D4C23×C13911yescharacteristic
918C23×C4C23×C13911yescharacteristic
919C23×C4C23×C13911yescharacteristic
920C23×C4C23×C13911yescharacteristic
921C23×C4C23×C13911yescharacteristic
922C23×C4C23×C13911yescharacteristic
923C23×C4C23×C13911yescharacteristic
924C23×C4C23×C13911yescharacteristic
925#126—42no—
926#126—42no—
927#125—42no—
928#123—24no—
929#123—42no—
930C22⋊Q8—42no—
931#120—42no—
932C4×D4—42no—
933#117—24no—
934#117—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4C23×C13911yescharacteristic
937C2×C4⋊C4C23×C13911yescharacteristic
938C2×C4⋊C4C23×C13911yescharacteristic
939C2×C4⋊C4C23×C13911yescharacteristic
940C2×C4⋊C4C23×C13911yescharacteristic
941C2×C4⋊C4C23×C13911yescharacteristic
942C2×C4⋊C4C23×C13911yescharacteristic
943C2×C4⋊C4C23×C13911yescharacteristic
944C2×C4⋊C4C23×C13911yescharacteristic
945C2×C4⋊C4C23×C13911yescharacteristic
946C2×C4⋊C4C23×C13911yescharacteristic
947C2×C4⋊C4C23×C13911yescharacteristic
948C2×C4⋊C4C23×C13911yescharacteristic
949C2×C4⋊C4C23×C13911yescharacteristic
950C2×C4⋊C4C23×C13911yescharacteristic
951C2×C4⋊C4C23×C13911yescharacteristic
952C2×C4⋊C4C23×C13911yescharacteristic
953C2×C4⋊C4C23×C13911yescharacteristic
954C2×C4⋊C4C23×C13911yescharacteristic
955C2×C4⋊C4C23×C13911yescharacteristic
956C2×C4⋊C4C23×C13911yescharacteristic
957C2×C4⋊C4C23×C13911yescharacteristic
958C2×C4⋊C4C23×C13911yescharacteristic
959C2×C4⋊C4C23×C13911yescharacteristic
960C2×C4⋊C4C23×C13911yescharacteristic
961C2×C4⋊C4C23×C13911yescharacteristic
962C2×C4⋊C4C23×C13911yescharacteristic
963C2×C4⋊C4C23×C13911yescharacteristic
964C2×C4⋊C4C23×C13911yescharacteristic
965C2×C4⋊C4C23×C13911yescharacteristic
966C2×C4⋊C4C23×C13911yescharacteristic
967C2×C4⋊C4C23×C13911yescharacteristic
968C2×C4⋊C4C23×C13911yescharacteristic
969C2×C4⋊C4C23×C13911yescharacteristic
970C2×C4⋊C4C23×C13911yescharacteristic
971C2×C4⋊C4C23×C13911yescharacteristic
972C2×C4⋊C4C23×C13911yescharacteristic
973C2×C4⋊C4C23×C13911yescharacteristic
974C2×C4⋊C4C23×C13911yescharacteristic
975C2×C4⋊C4C23×C13911yescharacteristic
976C2×C22⋊C4—24no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—42no—
979C2×C22⋊C4C23×C13911yescharacteristic
980C2×C22⋊C4C23×C13911yescharacteristic
981C2×C22⋊C4C23×C13911yescharacteristic
982C2×C22⋊C4C23×C13911yescharacteristic
983C2×C22⋊C4C23×C13911yescharacteristic
984C2×C22⋊C4C23×C13911yescharacteristic
985C2×C22⋊C4C23×C13911yescharacteristic
986C2×C22⋊C4C23×C13911yescharacteristic
987C2×C22⋊C4C23×C13911yescharacteristic
988C2×C22⋊C4C23×C13911yescharacteristic
989C2×C22⋊C4C23×C13911yescharacteristic
990C2×C22⋊C4C23×C13911yescharacteristic
991C2×C22⋊C4C23×C13911yescharacteristic
992C2×C22⋊C4C23×C13911yescharacteristic
993C2×C22⋊C4C23×C13911yescharacteristic
994C2×C22⋊C4C23×C13911yescharacteristic
995C2×C22⋊C4C23×C13911yescharacteristic
996C2×C22⋊C4C23×C13911yescharacteristic
997C2×C22⋊C4C23×C13911yescharacteristic
998C2×C22⋊C4C23×C13911yescharacteristic
999C2×C22⋊C4C23×C13911yescharacteristic
1000C2×C22⋊C4C23×C13911yescharacteristic
1001C2×C22⋊C4C23×C13911yescharacteristic
1002C2×C22⋊C4C23×C13911yescharacteristic
1003C2×C22⋊C4C23×C13911yescharacteristic
1004C2×C22⋊C4C23×C13911yescharacteristic
1005C2×C22⋊C4C23×C13911yescharacteristic
1006C2×C22⋊C4C23×C13911yescharacteristic
1007C2×C22⋊C4C23×C13911yescharacteristic
1008C2×C22⋊C4C23×C13911yescharacteristic
1009C2×C22⋊C4C23×C13911yescharacteristic
1010C2×C22⋊C4C23×C13911yescharacteristic
1011C2×C22⋊C4C23×C13911yescharacteristic
1012C2×C22⋊C4C23×C13911yescharacteristic
1013C2×C22⋊C4C23×C13911yescharacteristic
1014C2×C22⋊C4C23×C13911yescharacteristic
1015C2×C22⋊C4C23×C13911yescharacteristic
1016C2×C22⋊C4C23×C13911yescharacteristic
1017C2×C22⋊C4C23×C13911yescharacteristic
1018C2×C22⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C42—42no—
1024C2×C42C23×C13911yescharacteristic
1025C2×C42C23×C13911yescharacteristic
1026C2×C42C23×C13911yescharacteristic
1027C2×C42C23×C13911yescharacteristic
1028C2×C42C23×C13911yescharacteristic
1029C2×C42C23×C13911yescharacteristic
1030C2×C42C23×C13911yescharacteristic
1031C2×C42C23×C13911yescharacteristic
1032C2×C42C23×C13911yescharacteristic
1033C2×C42C23×C13911yescharacteristic
1034C2×C42C23×C13911yescharacteristic
1035#95C23×C13911yescharacteristic
1036#95C23×C13911yescharacteristic
1037#95C23×C13911yescharacteristic
1038#95C23×C13911yescharacteristic
1039#95C23×C13911yescharacteristic
1040#95C23×C13911yescharacteristic
1041#95C23×C13911yescharacteristic
1042#95C23×C13911yescharacteristic
1043#95C23×C13911yescharacteristic
1044#95C23×C13911yescharacteristic
1045#95C23×C13911yescharacteristic
1046#95C23×C13911yescharacteristic
1047#95C23×C13911yescharacteristic
1048#95C23×C13911yescharacteristic
1049#95C23×C13911yescharacteristic
1050#95C23×C13911yescharacteristic
1051#95C23×C13911yescharacteristic
1052#95C23×C13911yescharacteristic
1053#95C23×C13911yescharacteristic
1054#95C23×C13911yescharacteristic
1055#95C23×C13911yescharacteristic
1056#95C23×C13911yescharacteristic
1057#95C23×C13911yescharacteristic
1058#95C23×C13911yescharacteristic
1059#95C23×C13911yescharacteristic
1060#95C23×C13911yescharacteristic
1061#95C23×C13911yescharacteristic
1062#95C23×C13911yescharacteristic
1063#95C23×C13911yescharacteristic
1064#95C23×C13911yescharacteristic
1065#95C23×C13911yescharacteristic
1066#95C23×C13911yescharacteristic
1067#95C23×C13911yescharacteristic
1068#95C23×C13911yescharacteristic
1069#95C23×C13911yescharacteristic
1070#95C23×C13911yescharacteristic
1071#95C23×C13911yescharacteristic
1072#95C23×C13911yescharacteristic
1073#95C23×C13911yescharacteristic
1074#95C23×C13911yescharacteristic
1075#95C23×C13911yescharacteristic
1076#95C23×C13911yescharacteristic
1077#95C23×C13911yescharacteristic
1078#95C23×C13911yescharacteristic
1079#95C23×C13911yescharacteristic
1080#95C23×C13911yescharacteristic
1081#95C23×C13911yescharacteristic
1082#95C23×C13911yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C13911yescharacteristic
1091C24C24×C13911yescharacteristic
1092C24C24×C13911yescharacteristic
1093C24C24×C13911yescharacteristic
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4#41×C13914yes—
1127C22×C4C24×C13911yescharacteristic
1128C22×C4C24×C13911yescharacteristic
1129C22×C4C24×C13911yescharacteristic
1130C22×C4C24×C13911yescharacteristic
1131C22×C4C24×C13911yescharacteristic
1132C22×C4C24×C13911yescharacteristic
1133C22×C4C24×C13911yescharacteristic
1134C22×C4C24×C13911yescharacteristic
1135C22×C4C24×C13911yescharacteristic
1136C22×C4C24×C13911yescharacteristic
1137C22×C4C24×C13911yescharacteristic
1138C22×C4C24×C13911yescharacteristic
1139C22×C4C24×C13911yescharacteristic
1140C22×C4C24×C13911yescharacteristic
1141C22×C4C24×C13911yescharacteristic
1142C22×C4C24×C13911yescharacteristic
1143C22×C4C24×C13911yescharacteristic
1144C22×C4C24×C13911yescharacteristic
1145C22×C4C24×C13911yescharacteristic
1146C22×C4C24×C13911yescharacteristic
1147C22×C4C24×C13911yescharacteristic
1148C22×C4C24×C13911yescharacteristic
1149C22×C4C24×C13911yescharacteristic
1150C22×C4C24×C13911yescharacteristic
1151C22×C4C24×C13911yescharacteristic
1152C22×C4C24×C13911yescharacteristic
1153C22×C4C24×C13911yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×#41×C13912yes—
1282C23H(5,𝔽2)×C13912yes—
1283C232−1+4×C13912yes—
1284C23C25×C13911yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4C2×#41×C13912yes—
1375C2×C4C2×#41×C13912yes—
1376C2×C4H(5,𝔽2)×C13912yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—88no—
1405C22#539×C13914yes—
1406C22C22×#41×C13911yescharacteristic
1407C22C2×H(5,𝔽2)×C13911yescharacteristic
1408C22C2×H(5,𝔽2)×C13911yescharacteristic
1409C22C2×2−1+4×C13911yescharacteristic
1410C22#585×C13911yescharacteristic
1411C22#585×C13911yescharacteristic
1412C22#585×C13911yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×#539×C13911yescharacteristic
1445C2#3493×C13911yescharacteristic
1446C2#3506×C13911yescharacteristic
1447C2#3535×C13911yescharacteristic
1448C2#3542×C13911yescharacteristic
1449C2#3545×C13911yescharacteristic
1450C2#3564×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC2×#120×C139C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2852×C139C2semidirect
2. #2851×C139C2semidirect
3. #2808×C139C2semidirect
4. #2798×C139C2semidirect
5. #2796×C139C2semidirect
6. #2795×C139C2semidirect
7. #2793×C139C2semidirect
8. #2785×C139C2semidirect
9. #2783×C139C2semidirect
10. #2783×C139C2semidirect
11. #2781×C139C2semidirect
12. #2777×C139C2semidirect
13. #2775×C139C2semidirect
14. #2773×C139C2semidirect
15. #2727×C139C2semidirect
16. #2721×C139C2semidirect
17. #2718×C139C2semidirect
18. #2694×C139C2semidirect
19. #2626×C139C2semidirect
21. #2505×C139C2semidirect
22. #2498×C139C2semidirect
23. #2482×C139C2semidirect
24. #2480×C139C2semidirect
25. #2450×C139C2semidirect
26. #2438×C139C2semidirect
29. #2322×C139C2semidirect
30. #2317×C139C2semidirect
31. C2×#388×C139C2semidirect
33. C2×#126×C139C22semidirect
34. C2×#125×C139C22semidirect
47. #400×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
58. #399×C139C22semidirect
59. #398×C139C22semidirect
60. #398×C139C22semidirect
61. #398×C139C22semidirect
62. #398×C139C22semidirect
63. #398×C139C22semidirect
74. #397×C139C22semidirect
82. #396×C139C22semidirect
83. #395×C139C22semidirect
94. #393×C139C22semidirect
95. #391×C139C22semidirect
96. #391×C139C22semidirect
99. #389×C139C22semidirect
100. #389×C139C22semidirect
101. #389×C139C22semidirect
102. #389×C139C22semidirect
103. #389×C139C22semidirect
104. #389×C139C22semidirect
105. #389×C139C22semidirect
106. #389×C139C22semidirect
107. #389×C139C22semidirect
108. #389×C139C22semidirect
128. #388×C139C22semidirect
129. #388×C139C22semidirect
130. #388×C139C22semidirect
131. #388×C139C22semidirect
132. #388×C139C22semidirect
133. #388×C139C22semidirect
134. #388×C139C22semidirect
135. #387×C139C22semidirect
136. #387×C139C22semidirect
137. #387×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
140. #387×C139C22semidirect
141. #387×C139C22semidirect
142. #387×C139C22semidirect
143. #387×C139C22semidirect
144. #387×C139C22semidirect
145. #387×C139C22semidirect
146. #387×C139C22semidirect
147. #387×C139C22semidirect
148. #387×C139C22semidirect
149. #387×C139C22semidirect
150. #387×C139C22semidirect
166. #385×C139C22semidirect
167. #385×C139C22semidirect
168. #385×C139C22semidirect
169. #384×C139C22semidirect
170. #384×C139C22semidirect
171. #383×C139C22semidirect
172. #382×C139C22semidirect
173. #382×C139C22semidirect
174. #382×C139C22semidirect
175. #382×C139C22semidirect
180. #380×C139C22semidirect
725. #36796C139direct (N × H)
726. C139#36796direct (N × H)
727. #2852C2×C139semidirect
728. #2851C2×C139semidirect
729. #2808C2×C139semidirect
730. #2798C2×C139semidirect
731. #2796C2×C139semidirect
732. #2795C2×C139semidirect
733. #2793C2×C139semidirect
734. #2785C2×C139semidirect
735. #2783C2×C139semidirect
736. #2783C2×C139semidirect
737. #2781C2×C139semidirect
738. #2777C2×C139semidirect
739. #2775C2×C139semidirect
740. #2773C2×C139semidirect
741. #2727C2×C139semidirect
742. #2721C2×C139semidirect
743. #2718C2×C139semidirect
744. #2694C2×C139semidirect
745. #2626C2×C139semidirect
747. #2505C2×C139semidirect
748. #2498C2×C139semidirect
749. #2482C2×C139semidirect
750. #2480C2×C139semidirect
751. #2450C2×C139semidirect
752. #2438C2×C139semidirect
755. #2322C2×C139semidirect
756. #2317C2×C139semidirect
757. C2×#388C2×C139semidirect
759. C2×#126C22×C139semidirect
760. C2×#125C22×C139semidirect
773. #400C22×C139semidirect
774. #400C22×C139semidirect
775. #400C22×C139semidirect
776. #400C22×C139semidirect
777. #400C22×C139semidirect
778. #400C22×C139semidirect
784. #399C22×C139semidirect
785. #398C22×C139semidirect
786. #398C22×C139semidirect
787. #398C22×C139semidirect
788. #398C22×C139semidirect
789. #398C22×C139semidirect
800. #397C22×C139semidirect
808. #396C22×C139semidirect
809. #395C22×C139semidirect
820. #393C22×C139semidirect
821. #391C22×C139semidirect
822. #391C22×C139semidirect
825. #389C22×C139semidirect
826. #389C22×C139semidirect
827. #389C22×C139semidirect
828. #389C22×C139semidirect
829. #389C22×C139semidirect
830. #389C22×C139semidirect
831. #389C22×C139semidirect
832. #389C22×C139semidirect
833. #389C22×C139semidirect
834. #389C22×C139semidirect
854. #388C22×C139semidirect
855. #388C22×C139semidirect
856. #388C22×C139semidirect
857. #388C22×C139semidirect
858. #388C22×C139semidirect
859. #388C22×C139semidirect
860. #388C22×C139semidirect
861. #387C22×C139semidirect
862. #387C22×C139semidirect
863. #387C22×C139semidirect
864. #387C22×C139semidirect
865. #387C22×C139semidirect
866. #387C22×C139semidirect
867. #387C22×C139semidirect
868. #387C22×C139semidirect
869. #387C22×C139semidirect
870. #387C22×C139semidirect
871. #387C22×C139semidirect
872. #387C22×C139semidirect
873. #387C22×C139semidirect
874. #387C22×C139semidirect
875. #387C22×C139semidirect
876. #387C22×C139semidirect
892. #385C22×C139semidirect
893. #385C22×C139semidirect
894. #385C22×C139semidirect
895. #384C22×C139semidirect
896. #384C22×C139semidirect
897. #383C22×C139semidirect
898. #382C22×C139semidirect
899. #382C22×C139semidirect
900. #382C22×C139semidirect
901. #382C22×C139semidirect
906. #380C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2852×C1392
#2851×C1392
#2808×C1392
#2798×C1392
#2796×C1392
#2795×C1392
#2793×C1392
#2785×C1392
#2783×C1392
#2781×C1392
#2777×C1392
#2775×C1392
#2773×C1392
#2727×C1392
#2721×C1392
#2718×C1392
#2694×C1392
#2626×C1392
#2622×C1392
#2505×C1392
#2498×C1392
#2482×C1392
#2480×C1392
#2450×C1392
#2438×C1392
#2418×C1392
#2411×C1392
#2322×C1392
#2317×C1392
C2×#388×C1392
#36796139