Finite Group Databasebeta

← C139×#36990 #48031586

Subgroups — C139×#36990 #48031586

Order 35584.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2866×C139C211yesmaximal, characteristic, complemented
2#2860×C139C211yesmaximal, characteristic, complemented
3#2803×C139C211yesmaximal, characteristic, complemented
4#2801×C139C211yesmaximal, characteristic, complemented
5#2800×C139C211yesmaximal, characteristic, complemented
6#2795×C139C211yesmaximal, characteristic, complemented
7#2746×C139C211yesmaximal, characteristic, complemented
8#2739×C139C211yesmaximal, characteristic, complemented
9#2735×C139C211yesmaximal, characteristic, complemented
10#2725×C139C211yesmaximal, characteristic, complemented
11#2725×C139C211yesmaximal, characteristic, complemented
12#2718×C139C211yesmaximal, characteristic, complemented
13#2711×C139C211yesmaximal, characteristic, complemented
14#2705×C139C211yesmaximal, characteristic, complemented
15#2694×C139C211yesmaximal, characteristic, complemented
16#2685×C139C211yesmaximal, characteristic, complemented
17#2685×C139C211yesmaximal, characteristic, complemented
18#2678×C139C211yesmaximal, characteristic
19#2649×C139C211yesmaximal, characteristic, complemented
20#2648×C139C211yesmaximal, characteristic, complemented
21#2602×C139C211yesmaximal, characteristic, complemented
22#2594×C139C211yesmaximal, characteristic, complemented
23#2558×C139C211yesmaximal, characteristic, complemented
24#2534×C139C211yesmaximal, characteristic, complemented
25#2479×C139C211yesmaximal, characteristic, complemented
26#2476×C139C211yesmaximal, characteristic, complemented
27#2441×C139C211yesmaximal, characteristic, complemented
28#2411×C139C211yesmaximal, characteristic, complemented
29#2335×C139C211yesmaximal, characteristic, complemented
30#2312×C139C211yesmaximal, characteristic, complemented
31#2293×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic, complemented
35C2×#125×C139C2211yescharacteristic, complemented
36C2×#125×C139C2211yescharacteristic, complemented
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×#123×C139C2211yescharacteristic
40C2×#121×C139C2211yescharacteristic
41C2×#120×C139C2211yescharacteristic
42C2×#120×C139C2211yescharacteristic
43C2×C4×D4×C139C2211yescharacteristic
44C2×#117×C139C2211yescharacteristic
45C2×#117×C139C2211yescharacteristic, complemented
46C22×C22⋊C4×C139C2211yescharacteristic
47#401×C139C2211yescharacteristic, complemented
48#400×C139C2211yescharacteristic, complemented
49#400×C139C2211yescharacteristic, complemented
50#400×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#399×C139C2211yescharacteristic
53#399×C139C2211yescharacteristic
54#399×C139C2211yescharacteristic
55#399×C139C2211yescharacteristic, complemented
56#399×C139C2211yescharacteristic, complemented
57#398×C139C2211yescharacteristic, complemented
58#398×C139C2211yescharacteristic, complemented
59#398×C139C2211yescharacteristic, complemented
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic
64#397×C139C2211yescharacteristic, complemented
65#397×C139C2211yescharacteristic, complemented
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#396×C139C2211yescharacteristic
69#396×C139C2211yescharacteristic
70#396×C139C2211yescharacteristic
71#396×C139C2211yescharacteristic
72#396×C139C2211yescharacteristic
73#396×C139C2211yescharacteristic
74#396×C139C2211yescharacteristic
75#396×C139C2211yescharacteristic, complemented
76#396×C139C2211yescharacteristic, complemented
77#394×C139C2211yescharacteristic
78#394×C139C2211yescharacteristic
79#394×C139C2211yescharacteristic
80#394×C139C2211yescharacteristic
81#394×C139C2211yescharacteristic
82#394×C139C2211yescharacteristic
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic, complemented
92#394×C139C2211yescharacteristic, complemented
93#392×C139C2211yescharacteristic
94#392×C139C2211yescharacteristic
95#390×C139C2211yescharacteristic
96#390×C139C2211yescharacteristic
97#390×C139C2211yescharacteristic
98#390×C139C2211yescharacteristic
99#390×C139C2211yescharacteristic
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic, complemented
104#389×C139C2211yescharacteristic, complemented
105#389×C139C2211yescharacteristic, complemented
106#389×C139C2211yescharacteristic, complemented
107#389×C139C2211yescharacteristic, complemented
108#389×C139C2211yescharacteristic, complemented
109#389×C139C2211yescharacteristic, complemented
110#389×C139C2211yescharacteristic, complemented
111#389×C139C2211yescharacteristic, complemented
112#389×C139C2211yescharacteristic, complemented
113#389×C139C2211yescharacteristic, complemented
114#389×C139C2211yescharacteristic, complemented
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
129#388×C139C2211yescharacteristic
130#388×C139C2211yescharacteristic
131#388×C139C2211yescharacteristic
132#388×C139C2211yescharacteristic
133#388×C139C2211yescharacteristic
134#388×C139C2211yescharacteristic
135#388×C139C2211yescharacteristic
136#388×C139C2211yescharacteristic
137#388×C139C2211yescharacteristic
138#388×C139C2211yescharacteristic
139#388×C139C2211yescharacteristic
140#388×C139C2211yescharacteristic, complemented
141#388×C139C2211yescharacteristic, complemented
142#388×C139C2211yescharacteristic, complemented
143#388×C139C2211yescharacteristic, complemented
144#388×C139C2211yescharacteristic, complemented
145#388×C139C2211yescharacteristic, complemented
146#388×C139C2211yescharacteristic, complemented
147#388×C139C2211yescharacteristic, complemented
148#388×C139C2211yescharacteristic, complemented
149#388×C139C2211yescharacteristic, complemented
150#387×C139C2211yescharacteristic, complemented
151#387×C139C2211yescharacteristic, complemented
152#387×C139C2211yescharacteristic, complemented
153#387×C139C2211yescharacteristic, complemented
154#387×C139C2211yescharacteristic, complemented
155#387×C139C2211yescharacteristic, complemented
156#387×C139C2211yescharacteristic, complemented
157#387×C139C2211yescharacteristic, complemented
158#387×C139C2211yescharacteristic, complemented
159#387×C139C2211yescharacteristic, complemented
160#387×C139C2211yescharacteristic, complemented
161#386×C139C2211yescharacteristic
162#386×C139C2211yescharacteristic
163#386×C139C2211yescharacteristic
164#386×C139C2211yescharacteristic
165#386×C139C2211yescharacteristic, complemented
166#385×C139C2211yescharacteristic
167#385×C139C2211yescharacteristic, complemented
168#385×C139C2211yescharacteristic, complemented
169#385×C139C2211yescharacteristic, complemented
170#385×C139C2211yescharacteristic, complemented
171#384×C139C2211yescharacteristic, complemented
172#381×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#380×C139C2211yescharacteristic
176#379×C139C2211yescharacteristic
177#379×C139C2211yescharacteristic
178#379×C139C2211yescharacteristic
179#379×C139C2211yescharacteristic
180C4×C4⋊C4×C139C2211yescharacteristic, complemented
181C4×C4⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic, complemented
185C4×C22⋊C4×C139C2211yescharacteristic, complemented
186C43×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199#126×C139—42no—
200#126×C139—42no—
201#126×C139—42no—
202#125×C139—42no—
203#125×C139—42no—
204#123×C139—24no—
205#123×C139—42no—
206#123×C139—42no—
207#121×C139—42no—
208#120×C139—42no—
209#120×C139—42no—
210C4×D4×C139—24no—
211#117×C139—42no—
212#117×C139—42no—
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×C139C2311yescharacteristic
252C2×C22⋊C4×C139C2311yescharacteristic
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×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×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—41no—
359C24×C139—41no—
360C24×C139—41no—
361C24×C139—41no—
362C24×C139—41no—
363C24×C139—41no—
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C24×C139C2411yescharacteristic
368C24×C139C2411yescharacteristic
369C2×D4×C139—22no—
370C2×D4×C139—22no—
371C2×D4×C139—22no—
372C2×D4×C139—22no—
373C2×D4×C139—41no—
374C2×D4×C139—41no—
375C2×D4×C139—41no—
376C2×D4×C139—41no—
377C2×D4×C139—41no—
378C2×D4×C139—41no—
379C2×D4×C139—41no—
380C2×D4×C139—41no—
381C2×D4×C139—41no—
382C2×D4×C139—41no—
383C2×D4×C139—41no—
384C2×D4×C139—41no—
385C2×D4×C139—41no—
386C2×D4×C139—41no—
387C2×D4×C139—41no—
388C2×D4×C139—41no—
389C2×D4×C139—41no—
390C22×C4×C139—22no—
391C22×C4×C139—22no—
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—41no—
401C22×C4×C139#4114yes—
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—22no—
436C4⋊C4×C139—22no—
437C4⋊C4×C139—22no—
438C4⋊C4×C139—22no—
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—
465C22⋊C4×C139—22no—
466C22⋊C4×C139—22no—
467C22⋊C4×C139—22no—
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—41no—
481C22⋊C4×C139—41no—
482C22⋊C4×C139—41no—
483C22⋊C4×C139—41no—
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—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139—41no—
518C22⋊C4×C139—41no—
519C42×C139—22no—
520C42×C139—22no—
521C42×C139—22no—
522C42×C139—41no—
523C42×C139—41no—
524C42×C139—41no—
525C42×C139—41no—
526C42×C139—41no—
527C42×C139—41no—
528C42×C139—41no—
529C42×C139—41no—
530C42×C139—41no—
531C42×C139—41no—
532C42×C139—41no—
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—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—44no—
568C23×C139—82no—
569C23×C139—82no—
570C23×C139—82no—
571C23×C139—82no—
572C23×C139—82no—
573C23×C139—82no—
574C23×C139C2×#4112yes—
575C23×C139C2511yescharacteristic
576D4×C139—44no—
577D4×C139—82no—
578D4×C139—82no—
579D4×C139—82no—
580D4×C139—82no—
581D4×C139—82no—
582D4×C139—82no—
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—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—44no—
658C2×C4×C139—44no—
659C2×C4×C139—82no—
660C2×C4×C139—82no—
661C2×C4×C139C2×#4112yes—
662C2×C4×C139C2×#4112yes—
663C2×C4×C139H(5,𝔽2)12yes—
664C2×C4×C139H(5,𝔽2)12yes—
665C22×C139—22no—
666C22×C139—22no—
667C22×C139—22no—
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—41no—
679C22×C139—41no—
680C22×C139—41no—
681C22×C139—41no—
682C22×C139—41no—
683C22×C139—41no—
684C22×C139—41no—
685C22×C139—41no—
686C22×C139—41no—
687C22×C139—41no—
688C22×C139—41no—
689C22×C139—41no—
690C22×C139—41no—
691C22×C139—41no—
692C22×C139—41no—
693C22×C139—41no—
694C22×C139—41no—
695C22×C139—41no—
696C22×C139—41no—
697C22×C139—41no—
698C22×C139—41no—
699C22×C139—41no—
700C22×C139—88no—
701C22×C139C22×#4111yescharacteristic
702C22×C139C2×H(5,𝔽2)11yescharacteristic
703C22×C139C2×H(5,𝔽2)11yescharacteristic
704C22×C139#58511yescharacteristic
705C22×C139#58511yescharacteristic
706C22×C139#58511yescharacteristic
707C22×C139#58511yescharacteristic
708C4×C139—22no—
709C4×C139—22no—
710C4×C139—22no—
711C4×C139—22no—
712C4×C139—41no—
713C4×C139—41no—
714C4×C139—41no—
715C4×C139—41no—
716C4×C139—41no—
717C4×C139—41no—
718C4×C139—41no—
719C4×C139—41no—
720C4×C139—41no—
721C4×C139—41no—
722C4×C139—41no—
723C4×C139—41no—
724C4×C139—41no—
725C4×C139—41no—
726C4×C139—41no—
727C4×C139—41no—
728C4×C139—41no—
729C4×C139—41no—
730C4×C139—41no—
731C4×C139—41no—
732C4×C139—41no—
733C4×C139—41no—
734C2×C139—42no—
735C2×C139—81no—
736C2×C139—81no—
737C2×C139—81no—
738C2×C139—81no—
739C2×C139#345511yescharacteristic
740C2×C139#349411yescharacteristic
741C2×C139#350511yescharacteristic
742C2×C139#354611yescharacteristic
743C2×C139#356011yescharacteristic
744C2×C139#356211yescharacteristic
745C2×C139#356611yescharacteristic
746#36990C13911yesmaximal, characteristic, direct product factor, Sylow
747C139#3699011yescharacteristic, direct product factor, Sylow
748#2866C2×C13911yescharacteristic, complemented
749#2860C2×C13911yescharacteristic, complemented
750#2803C2×C13911yescharacteristic, complemented
751#2801C2×C13911yescharacteristic, complemented
752#2800C2×C13911yescharacteristic, complemented
753#2795C2×C13911yescharacteristic, complemented
754#2746C2×C13911yescharacteristic, complemented
755#2739C2×C13911yescharacteristic, complemented
756#2735C2×C13911yescharacteristic, complemented
757#2725C2×C13911yescharacteristic, complemented
758#2725C2×C13911yescharacteristic, complemented
759#2718C2×C13911yescharacteristic, complemented
760#2711C2×C13911yescharacteristic, complemented
761#2705C2×C13911yescharacteristic, complemented
762#2694C2×C13911yescharacteristic, complemented
763#2685C2×C13911yescharacteristic, complemented
764#2685C2×C13911yescharacteristic, complemented
765#2678C2×C13911yescharacteristic
766#2649C2×C13911yescharacteristic, complemented
767#2648C2×C13911yescharacteristic, complemented
768#2602C2×C13911yescharacteristic, complemented
769#2594C2×C13911yescharacteristic, complemented
770#2558C2×C13911yescharacteristic, complemented
771#2534C2×C13911yescharacteristic, complemented
772#2479C2×C13911yescharacteristic, complemented
773#2476C2×C13911yescharacteristic, complemented
774#2441C2×C13911yescharacteristic, complemented
775#2411C2×C13911yescharacteristic, complemented
776#2335C2×C13911yescharacteristic, complemented
777#2312C2×C13911yescharacteristic, complemented
778#2293C2×C13911yescharacteristic, complemented
779C2×#126C22×C13911yescharacteristic
780C2×#126C22×C13911yescharacteristic
781C2×#126C22×C13911yescharacteristic, complemented
782C2×#125C22×C13911yescharacteristic, complemented
783C2×#125C22×C13911yescharacteristic, complemented
784C2×#123C22×C13911yescharacteristic
785C2×#123C22×C13911yescharacteristic
786C2×#123C22×C13911yescharacteristic
787C2×#121C22×C13911yescharacteristic
788C2×#120C22×C13911yescharacteristic
789C2×#120C22×C13911yescharacteristic
790C2×C4×D4C22×C13911yescharacteristic
791C2×#117C22×C13911yescharacteristic
792C2×#117C22×C13911yescharacteristic, complemented
793C22×C22⋊C4C22×C13911yescharacteristic
794#401C22×C13911yescharacteristic, complemented
795#400C22×C13911yescharacteristic, complemented
796#400C22×C13911yescharacteristic, complemented
797#400C22×C13911yescharacteristic, complemented
798#400C22×C13911yescharacteristic, complemented
799#399C22×C13911yescharacteristic
800#399C22×C13911yescharacteristic
801#399C22×C13911yescharacteristic
802#399C22×C13911yescharacteristic, complemented
803#399C22×C13911yescharacteristic, complemented
804#398C22×C13911yescharacteristic, complemented
805#398C22×C13911yescharacteristic, complemented
806#398C22×C13911yescharacteristic, complemented
807#397C22×C13911yescharacteristic
808#397C22×C13911yescharacteristic
809#397C22×C13911yescharacteristic
810#397C22×C13911yescharacteristic
811#397C22×C13911yescharacteristic, complemented
812#397C22×C13911yescharacteristic, complemented
813#396C22×C13911yescharacteristic
814#396C22×C13911yescharacteristic
815#396C22×C13911yescharacteristic
816#396C22×C13911yescharacteristic
817#396C22×C13911yescharacteristic
818#396C22×C13911yescharacteristic
819#396C22×C13911yescharacteristic
820#396C22×C13911yescharacteristic
821#396C22×C13911yescharacteristic
822#396C22×C13911yescharacteristic, complemented
823#396C22×C13911yescharacteristic, complemented
824#394C22×C13911yescharacteristic
825#394C22×C13911yescharacteristic
826#394C22×C13911yescharacteristic
827#394C22×C13911yescharacteristic
828#394C22×C13911yescharacteristic
829#394C22×C13911yescharacteristic
830#394C22×C13911yescharacteristic
831#394C22×C13911yescharacteristic
832#394C22×C13911yescharacteristic
833#394C22×C13911yescharacteristic
834#394C22×C13911yescharacteristic
835#394C22×C13911yescharacteristic
836#394C22×C13911yescharacteristic
837#394C22×C13911yescharacteristic
838#394C22×C13911yescharacteristic, complemented
839#394C22×C13911yescharacteristic, complemented
840#392C22×C13911yescharacteristic
841#392C22×C13911yescharacteristic
842#390C22×C13911yescharacteristic
843#390C22×C13911yescharacteristic
844#390C22×C13911yescharacteristic
845#390C22×C13911yescharacteristic
846#390C22×C13911yescharacteristic
847#390C22×C13911yescharacteristic
848#390C22×C13911yescharacteristic
849#390C22×C13911yescharacteristic
850#390C22×C13911yescharacteristic, complemented
851#389C22×C13911yescharacteristic, complemented
852#389C22×C13911yescharacteristic, complemented
853#389C22×C13911yescharacteristic, complemented
854#389C22×C13911yescharacteristic, complemented
855#389C22×C13911yescharacteristic, complemented
856#389C22×C13911yescharacteristic, complemented
857#389C22×C13911yescharacteristic, complemented
858#389C22×C13911yescharacteristic, complemented
859#389C22×C13911yescharacteristic, complemented
860#389C22×C13911yescharacteristic, complemented
861#389C22×C13911yescharacteristic, complemented
862#388C22×C13911yescharacteristic
863#388C22×C13911yescharacteristic
864#388C22×C13911yescharacteristic
865#388C22×C13911yescharacteristic
866#388C22×C13911yescharacteristic
867#388C22×C13911yescharacteristic
868#388C22×C13911yescharacteristic
869#388C22×C13911yescharacteristic
870#388C22×C13911yescharacteristic
871#388C22×C13911yescharacteristic
872#388C22×C13911yescharacteristic
873#388C22×C13911yescharacteristic
874#388C22×C13911yescharacteristic
875#388C22×C13911yescharacteristic
876#388C22×C13911yescharacteristic
877#388C22×C13911yescharacteristic
878#388C22×C13911yescharacteristic
879#388C22×C13911yescharacteristic
880#388C22×C13911yescharacteristic
881#388C22×C13911yescharacteristic
882#388C22×C13911yescharacteristic
883#388C22×C13911yescharacteristic
884#388C22×C13911yescharacteristic
885#388C22×C13911yescharacteristic
886#388C22×C13911yescharacteristic
887#388C22×C13911yescharacteristic, complemented
888#388C22×C13911yescharacteristic, complemented
889#388C22×C13911yescharacteristic, complemented
890#388C22×C13911yescharacteristic, complemented
891#388C22×C13911yescharacteristic, complemented
892#388C22×C13911yescharacteristic, complemented
893#388C22×C13911yescharacteristic, complemented
894#388C22×C13911yescharacteristic, complemented
895#388C22×C13911yescharacteristic, complemented
896#388C22×C13911yescharacteristic, complemented
897#387C22×C13911yescharacteristic, complemented
898#387C22×C13911yescharacteristic, complemented
899#387C22×C13911yescharacteristic, complemented
900#387C22×C13911yescharacteristic, complemented
901#387C22×C13911yescharacteristic, complemented
902#387C22×C13911yescharacteristic, complemented
903#387C22×C13911yescharacteristic, complemented
904#387C22×C13911yescharacteristic, complemented
905#387C22×C13911yescharacteristic, complemented
906#387C22×C13911yescharacteristic, complemented
907#387C22×C13911yescharacteristic, complemented
908#386C22×C13911yescharacteristic
909#386C22×C13911yescharacteristic
910#386C22×C13911yescharacteristic
911#386C22×C13911yescharacteristic
912#386C22×C13911yescharacteristic, complemented
913#385C22×C13911yescharacteristic
914#385C22×C13911yescharacteristic, complemented
915#385C22×C13911yescharacteristic, complemented
916#385C22×C13911yescharacteristic, complemented
917#385C22×C13911yescharacteristic, complemented
918#384C22×C13911yescharacteristic, complemented
919#381C22×C13911yescharacteristic
920#380C22×C13911yescharacteristic
921#380C22×C13911yescharacteristic
922#380C22×C13911yescharacteristic
923#379C22×C13911yescharacteristic
924#379C22×C13911yescharacteristic
925#379C22×C13911yescharacteristic
926#379C22×C13911yescharacteristic
927C4×C4⋊C4C22×C13911yescharacteristic, complemented
928C4×C4⋊C4C22×C13911yescharacteristic, complemented
929C4×C22⋊C4C22×C13911yescharacteristic
930C4×C22⋊C4C22×C13911yescharacteristic
931C4×C22⋊C4C22×C13911yescharacteristic, complemented
932C4×C22⋊C4C22×C13911yescharacteristic, complemented
933C43C22×C13911yescharacteristic, complemented
934C25C23×C13911yescharacteristic
935C22×D4C23×C13911yescharacteristic
936C22×D4C23×C13911yescharacteristic
937C22×D4C23×C13911yescharacteristic
938C22×D4C23×C13911yescharacteristic
939C22×D4C23×C13911yescharacteristic
940C22×D4C23×C13911yescharacteristic
941C22×D4C23×C13911yescharacteristic
942C23×C4C23×C13911yescharacteristic
943C23×C4C23×C13911yescharacteristic
944C23×C4C23×C13911yescharacteristic
945C23×C4C23×C13911yescharacteristic
946#126—42no—
947#126—42no—
948#126—42no—
949#125—42no—
950#125—42no—
951#123—24no—
952#123—42no—
953#123—42no—
954#121—42no—
955#120—42no—
956#120—42no—
957C4×D4—24no—
958#117—42no—
959#117—42no—
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×C4⋊C4C23×C13911yescharacteristic
977C2×C4⋊C4C23×C13911yescharacteristic
978C2×C4⋊C4C23×C13911yescharacteristic
979C2×C4⋊C4C23×C13911yescharacteristic
980C2×C4⋊C4C23×C13911yescharacteristic
981C2×C4⋊C4C23×C13911yescharacteristic
982C2×C4⋊C4C23×C13911yescharacteristic
983C2×C4⋊C4C23×C13911yescharacteristic
984C2×C4⋊C4C23×C13911yescharacteristic
985C2×C4⋊C4C23×C13911yescharacteristic
986C2×C4⋊C4C23×C13911yescharacteristic
987C2×C4⋊C4C23×C13911yescharacteristic
988C2×C4⋊C4C23×C13911yescharacteristic
989C2×C4⋊C4C23×C13911yescharacteristic
990C2×C4⋊C4C23×C13911yescharacteristic
991C2×C4⋊C4C23×C13911yescharacteristic
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C22⋊C4—24no—
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×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C22⋊C4C23×C13911yescharacteristic
1026C2×C22⋊C4C23×C13911yescharacteristic
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×C42C23×C13911yescharacteristic
1053C2×C42C23×C13911yescharacteristic
1054C2×C42C23×C13911yescharacteristic
1055C2×C42C23×C13911yescharacteristic
1056C2×C42C23×C13911yescharacteristic
1057C2×C42C23×C13911yescharacteristic
1058C2×C42C23×C13911yescharacteristic
1059C2×C42C23×C13911yescharacteristic
1060C2×C42C23×C13911yescharacteristic
1061C2×C42C23×C13911yescharacteristic
1062C2×C42C23×C13911yescharacteristic
1063C2×C42C23×C13911yescharacteristic
1064C2×C42C23×C13911yescharacteristic
1065C2×C42C23×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
1083#95C23×C13911yescharacteristic
1084#95C23×C13911yescharacteristic
1085#95C23×C13911yescharacteristic
1086#95C23×C13911yescharacteristic
1087#95C23×C13911yescharacteristic
1088#95C23×C13911yescharacteristic
1089#95C23×C13911yescharacteristic
1090#95C23×C13911yescharacteristic
1091#95C23×C13911yescharacteristic
1092#95C23×C13911yescharacteristic
1093#95C23×C13911yescharacteristic
1094#95C23×C13911yescharacteristic
1095#95C23×C13911yescharacteristic
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104C24—22no—
1105C24—41no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24C24×C13911yescharacteristic
1112C24C24×C13911yescharacteristic
1113C24C24×C13911yescharacteristic
1114C24C24×C13911yescharacteristic
1115C24C24×C13911yescharacteristic
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4#41×C13914yes—
1149C22×C4C24×C13911yescharacteristic
1150C22×C4C24×C13911yescharacteristic
1151C22×C4C24×C13911yescharacteristic
1152C22×C4C24×C13911yescharacteristic
1153C22×C4C24×C13911yescharacteristic
1154C22×C4C24×C13911yescharacteristic
1155C22×C4C24×C13911yescharacteristic
1156C22×C4C24×C13911yescharacteristic
1157C22×C4C24×C13911yescharacteristic
1158C22×C4C24×C13911yescharacteristic
1159C22×C4C24×C13911yescharacteristic
1160C22×C4C24×C13911yescharacteristic
1161C22×C4C24×C13911yescharacteristic
1162C22×C4C24×C13911yescharacteristic
1163C22×C4C24×C13911yescharacteristic
1164C22×C4C24×C13911yescharacteristic
1165C22×C4C24×C13911yescharacteristic
1166C22×C4C24×C13911yescharacteristic
1167C22×C4C24×C13911yescharacteristic
1168C22×C4C24×C13911yescharacteristic
1169C22×C4C24×C13911yescharacteristic
1170C22×C4C24×C13911yescharacteristic
1171C22×C4C24×C13911yescharacteristic
1172C22×C4C24×C13911yescharacteristic
1173C22×C4C24×C13911yescharacteristic
1174C22×C4C24×C13911yescharacteristic
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
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—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C42—22no—
1267C42—22no—
1268C42—22no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—44no—
1315C23—82no—
1316C23—82no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23C2×#41×C13912yes—
1322C23C25×C13911yescharacteristic
1323D4—44no—
1324D4—82no—
1325D4—82no—
1326D4—82no—
1327D4—82no—
1328D4—82no—
1329D4—82no—
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—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4C2×#41×C13912yes—
1409C2×C4C2×#41×C13912yes—
1410C2×C4H(5,𝔽2)×C13912yes—
1411C2×C4H(5,𝔽2)×C13912yes—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—88no—
1448C22C22×#41×C13911yescharacteristic
1449C22C2×H(5,𝔽2)×C13911yescharacteristic
1450C22C2×H(5,𝔽2)×C13911yescharacteristic
1451C22#585×C13911yescharacteristic
1452C22#585×C13911yescharacteristic
1453C22#585×C13911yescharacteristic
1454C22#585×C13911yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C2—42no—
1482C2—81no—
1483C2—81no—
1484C2—81no—
1485C2—81no—
1486C2#3455×C13911yescharacteristic
1487C2#3494×C13911yescharacteristic
1488C2#3505×C13911yescharacteristic
1489C2#3546×C13911yescharacteristic
1490C2#3560×C13911yescharacteristic
1491C2#3562×C13911yescharacteristic
1492C2#3566×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2678×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2866×C139C2semidirect
2. #2860×C139C2semidirect
3. #2803×C139C2semidirect
4. #2801×C139C2semidirect
5. #2800×C139C2semidirect
6. #2795×C139C2semidirect
7. #2746×C139C2semidirect
8. #2739×C139C2semidirect
9. #2735×C139C2semidirect
10. #2725×C139C2semidirect
11. #2725×C139C2semidirect
12. #2718×C139C2semidirect
13. #2711×C139C2semidirect
14. #2705×C139C2semidirect
15. #2694×C139C2semidirect
16. #2685×C139C2semidirect
17. #2685×C139C2semidirect
19. #2649×C139C2semidirect
20. #2648×C139C2semidirect
21. #2602×C139C2semidirect
22. #2594×C139C2semidirect
23. #2558×C139C2semidirect
24. #2534×C139C2semidirect
25. #2479×C139C2semidirect
26. #2476×C139C2semidirect
27. #2441×C139C2semidirect
28. #2411×C139C2semidirect
29. #2335×C139C2semidirect
30. #2312×C139C2semidirect
31. #2293×C139C2semidirect
34. C2×#126×C139C22semidirect
35. C2×#125×C139C22semidirect
36. C2×#125×C139C22semidirect
45. C2×#117×C139C22semidirect
47. #401×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
55. #399×C139C22semidirect
56. #399×C139C22semidirect
57. #398×C139C22semidirect
58. #398×C139C22semidirect
59. #398×C139C22semidirect
64. #397×C139C22semidirect
65. #397×C139C22semidirect
75. #396×C139C22semidirect
76. #396×C139C22semidirect
91. #394×C139C22semidirect
92. #394×C139C22semidirect
103. #390×C139C22semidirect
104. #389×C139C22semidirect
105. #389×C139C22semidirect
106. #389×C139C22semidirect
107. #389×C139C22semidirect
108. #389×C139C22semidirect
109. #389×C139C22semidirect
110. #389×C139C22semidirect
111. #389×C139C22semidirect
112. #389×C139C22semidirect
113. #389×C139C22semidirect
114. #389×C139C22semidirect
140. #388×C139C22semidirect
141. #388×C139C22semidirect
142. #388×C139C22semidirect
143. #388×C139C22semidirect
144. #388×C139C22semidirect
145. #388×C139C22semidirect
146. #388×C139C22semidirect
147. #388×C139C22semidirect
148. #388×C139C22semidirect
149. #388×C139C22semidirect
150. #387×C139C22semidirect
151. #387×C139C22semidirect
152. #387×C139C22semidirect
153. #387×C139C22semidirect
154. #387×C139C22semidirect
155. #387×C139C22semidirect
156. #387×C139C22semidirect
157. #387×C139C22semidirect
158. #387×C139C22semidirect
159. #387×C139C22semidirect
160. #387×C139C22semidirect
165. #386×C139C22semidirect
167. #385×C139C22semidirect
168. #385×C139C22semidirect
169. #385×C139C22semidirect
170. #385×C139C22semidirect
171. #384×C139C22semidirect
180. C4×C4⋊C4×C139C22semidirect
181. C4×C4⋊C4×C139C22semidirect
184. C4×C22⋊C4×C139C22semidirect
185. C4×C22⋊C4×C139C22semidirect
186. C43×C139C22semidirect
746. #36990C139direct (N × H)
747. C139#36990direct (N × H)
748. #2866C2×C139semidirect
749. #2860C2×C139semidirect
750. #2803C2×C139semidirect
751. #2801C2×C139semidirect
752. #2800C2×C139semidirect
753. #2795C2×C139semidirect
754. #2746C2×C139semidirect
755. #2739C2×C139semidirect
756. #2735C2×C139semidirect
757. #2725C2×C139semidirect
758. #2725C2×C139semidirect
759. #2718C2×C139semidirect
760. #2711C2×C139semidirect
761. #2705C2×C139semidirect
762. #2694C2×C139semidirect
763. #2685C2×C139semidirect
764. #2685C2×C139semidirect
766. #2649C2×C139semidirect
767. #2648C2×C139semidirect
768. #2602C2×C139semidirect
769. #2594C2×C139semidirect
770. #2558C2×C139semidirect
771. #2534C2×C139semidirect
772. #2479C2×C139semidirect
773. #2476C2×C139semidirect
774. #2441C2×C139semidirect
775. #2411C2×C139semidirect
776. #2335C2×C139semidirect
777. #2312C2×C139semidirect
778. #2293C2×C139semidirect
781. C2×#126C22×C139semidirect
782. C2×#125C22×C139semidirect
783. C2×#125C22×C139semidirect
792. C2×#117C22×C139semidirect
794. #401C22×C139semidirect
795. #400C22×C139semidirect
796. #400C22×C139semidirect
797. #400C22×C139semidirect
798. #400C22×C139semidirect
802. #399C22×C139semidirect
803. #399C22×C139semidirect
804. #398C22×C139semidirect
805. #398C22×C139semidirect
806. #398C22×C139semidirect
811. #397C22×C139semidirect
812. #397C22×C139semidirect
822. #396C22×C139semidirect
823. #396C22×C139semidirect
838. #394C22×C139semidirect
839. #394C22×C139semidirect
850. #390C22×C139semidirect
851. #389C22×C139semidirect
852. #389C22×C139semidirect
853. #389C22×C139semidirect
854. #389C22×C139semidirect
855. #389C22×C139semidirect
856. #389C22×C139semidirect
857. #389C22×C139semidirect
858. #389C22×C139semidirect
859. #389C22×C139semidirect
860. #389C22×C139semidirect
861. #389C22×C139semidirect
887. #388C22×C139semidirect
888. #388C22×C139semidirect
889. #388C22×C139semidirect
890. #388C22×C139semidirect
891. #388C22×C139semidirect
892. #388C22×C139semidirect
893. #388C22×C139semidirect
894. #388C22×C139semidirect
895. #388C22×C139semidirect
896. #388C22×C139semidirect
897. #387C22×C139semidirect
898. #387C22×C139semidirect
899. #387C22×C139semidirect
900. #387C22×C139semidirect
901. #387C22×C139semidirect
902. #387C22×C139semidirect
903. #387C22×C139semidirect
904. #387C22×C139semidirect
905. #387C22×C139semidirect
906. #387C22×C139semidirect
907. #387C22×C139semidirect
912. #386C22×C139semidirect
914. #385C22×C139semidirect
915. #385C22×C139semidirect
916. #385C22×C139semidirect
917. #385C22×C139semidirect
918. #384C22×C139semidirect
927. C4×C4⋊C4C22×C139semidirect
928. C4×C4⋊C4C22×C139semidirect
931. C4×C22⋊C4C22×C139semidirect
932. C4×C22⋊C4C22×C139semidirect
933. C43C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2866×C1392
#2860×C1392
#2803×C1392
#2801×C1392
#2800×C1392
#2795×C1392
#2746×C1392
#2739×C1392
#2735×C1392
#2725×C1392
#2718×C1392
#2711×C1392
#2705×C1392
#2694×C1392
#2685×C1392
#2678×C1392
#2649×C1392
#2648×C1392
#2602×C1392
#2594×C1392
#2558×C1392
#2534×C1392
#2479×C1392
#2476×C1392
#2441×C1392
#2411×C1392
#2335×C1392
#2312×C1392
#2293×C1392
#36990139