Finite Group Databasebeta

← C139×#35824 #48030420

Subgroups — C139×#35824 #48030420

Order 35584.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2654×C139C211yesmaximal, characteristic, complemented
2#2650×C139C211yesmaximal, characteristic, complemented
3#2627×C139C211yesmaximal, characteristic, complemented
4#2594×C139C211yesmaximal, characteristic, complemented
5#2587×C139C211yesmaximal, characteristic, complemented
6#2574×C139C211yesmaximal, characteristic, complemented
7#2573×C139C211yesmaximal, characteristic, complemented
8#2561×C139C211yesmaximal, characteristic
9#2529×C139C211yesmaximal, characteristic, complemented
10#2525×C139C211yesmaximal, characteristic, complemented
11#2525×C139C211yesmaximal, characteristic, complemented
12#2522×C139C211yesmaximal, characteristic, complemented
13#2519×C139C211yesmaximal, characteristic, complemented
14#2515×C139C211yesmaximal, characteristic, complemented
15#2493×C139C211yesmaximal, characteristic, complemented
16#2484×C139C211yesmaximal, characteristic, complemented
17#2482×C139C211yesmaximal, characteristic
18#2480×C139C211yesmaximal, characteristic
19#2475×C139C211yesmaximal, characteristic, complemented
20#2469×C139C211yesmaximal, characteristic, complemented
21#2442×C139C211yesmaximal, characteristic, complemented
22#2401×C139C211yesmaximal, characteristic, complemented
23#2396×C139C211yesmaximal, characteristic, complemented
24C2×#396×C139C211yesmaximal, characteristic
25#2360×C139C211yesmaximal, characteristic, complemented
26#2344×C139C211yesmaximal, characteristic, complemented
27#2343×C139C211yesmaximal, characteristic, complemented
28#2342×C139C211yesmaximal, characteristic
29#2342×C139C211yesmaximal, characteristic
30#2342×C139C211yesmaximal, characteristic
31#2274×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#125×C139C2211yescharacteristic, complemented
34C2×C22⋊Q8×C139C2211yescharacteristic
35C2×C4×Q8×C139C2211yescharacteristic, complemented
36C2×#117×C139C2211yescharacteristic
37C2×#117×C139C2211yescharacteristic
38C2×#117×C139C2211yescharacteristic
39C2×#117×C139C2211yescharacteristic
40C22×C4⋊C4×C139C2211yescharacteristic
41C22×C4⋊C4×C139C2211yescharacteristic
42C22×C4⋊C4×C139C2211yescharacteristic
43C22×C22⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C22⋊C4×C139C2211yescharacteristic
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#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#400×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#399×C139C2211yescharacteristic
58#399×C139C2211yescharacteristic
59#398×C139C2211yescharacteristic, complemented
60#398×C139C2211yescharacteristic, complemented
61#398×C139C2211yescharacteristic, complemented
62#398×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#398×C139C2211yescharacteristic, complemented
65#398×C139C2211yescharacteristic, complemented
66#398×C139C2211yescharacteristic, complemented
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic
71#397×C139C2211yescharacteristic
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#396×C139C2211yescharacteristic
75#396×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic
80#396×C139C2211yescharacteristic
81#396×C139C2211yescharacteristic
82#396×C139C2211yescharacteristic
83#395×C139C2211yescharacteristic, complemented
84#395×C139C2211yescharacteristic, complemented
85#393×C139C2211yescharacteristic
86#393×C139C2211yescharacteristic
87#391×C139C2211yescharacteristic, complemented
88#389×C139C2211yescharacteristic, complemented
89#389×C139C2211yescharacteristic, complemented
90#389×C139C2211yescharacteristic, complemented
91#389×C139C2211yescharacteristic, complemented
92#389×C139C2211yescharacteristic, complemented
93#389×C139C2211yescharacteristic, complemented
94#389×C139C2211yescharacteristic, complemented
95#388×C139C2211yescharacteristic
96#388×C139C2211yescharacteristic
97#388×C139C2211yescharacteristic
98#388×C139C2211yescharacteristic
99#388×C139C2211yescharacteristic
100#388×C139C2211yescharacteristic
101#388×C139C2211yescharacteristic
102#388×C139C2211yescharacteristic
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic
105#388×C139C2211yescharacteristic
106#388×C139C2211yescharacteristic
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic
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#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#387×C139C2211yescharacteristic, complemented
132#387×C139C2211yescharacteristic, complemented
133#387×C139C2211yescharacteristic, complemented
134#387×C139C2211yescharacteristic, complemented
135#385×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#383×C139C2211yescharacteristic, complemented
146#383×C139C2211yescharacteristic, complemented
147#382×C139C2211yescharacteristic, complemented
148#382×C139C2211yescharacteristic, complemented
149#381×C139C2211yescharacteristic
150#381×C139C2211yescharacteristic
151#381×C139C2211yescharacteristic
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic
154#381×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#379×C139C2211yescharacteristic
160#379×C139C2211yescharacteristic
161#379×C139C2211yescharacteristic
162C4×C4⋊C4×C139C2211yescharacteristic, complemented
163C4×C4⋊C4×C139C2211yescharacteristic, complemented
164C4×C4⋊C4×C139C2211yescharacteristic, complemented
165C4×C4⋊C4×C139C2211yescharacteristic, complemented
166C4×C4⋊C4×C139C2211yescharacteristic, complemented
167C4×C4⋊C4×C139C2211yescharacteristic, complemented
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C4⋊C4×C139C2211yescharacteristic, complemented
170C4×C4⋊C4×C139C2211yescharacteristic, complemented
171C4×C4⋊C4×C139C2211yescharacteristic, complemented
172C4×C4⋊C4×C139C2211yescharacteristic, complemented
173C4×C4⋊C4×C139C2211yescharacteristic, complemented
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185#376×C139C2211yescharacteristic, complemented
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C23×C4×C139C2311yescharacteristic
190C23×C4×C139C2311yescharacteristic
191C23×C4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197#126×C139—42no—
198#125×C139—42no—
199C22⋊Q8×C139—24no—
200C4×Q8×C139—42no—
201#117×C139—24no—
202#117×C139—24no—
203#117×C139—24no—
204#117×C139—42no—
205C2×C4⋊C4×C139—24no—
206C2×C4⋊C4×C139—24no—
207C2×C4⋊C4×C139—42no—
208C2×C4⋊C4×C139C2311yescharacteristic
209C2×C4⋊C4×C139C2311yescharacteristic
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×C22⋊C4×C139—24no—
248C2×C22⋊C4×C139—24no—
249C2×C22⋊C4×C139—24no—
250C2×C22⋊C4×C139—42no—
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×C42×C139C2311yescharacteristic
286C2×C42×C139C2311yescharacteristic
287C2×C42×C139C2311yescharacteristic
288C2×C42×C139C2311yescharacteristic
289C2×C42×C139C2311yescharacteristic
290C2×C42×C139C2311yescharacteristic
291C2×C42×C139C2311yescharacteristic
292C2×C42×C139C2311yescharacteristic
293C2×C42×C139C2311yescharacteristic
294C2×C42×C139C2311yescharacteristic
295C2×C42×C139C2311yescharacteristic
296C2×C42×C139C2311yescharacteristic
297C2×C42×C139C2311yescharacteristic
298C2×C42×C139C2311yescharacteristic
299C2×C42×C139C2311yescharacteristic
300C2×C42×C139C2311yescharacteristic
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303#95×C139C2311yescharacteristic
304#95×C139C2311yescharacteristic
305#95×C139C2311yescharacteristic
306#95×C139C2311yescharacteristic
307#95×C139C2311yescharacteristic
308#95×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—22no—
361C24×C139—41no—
362C24×C139—41no—
363C24×C139—41no—
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C2×Q8×C139—22no—
368C2×Q8×C139—41no—
369C2×Q8×C139—41no—
370C22×C4×C139—22no—
371C22×C4×C139—22no—
372C22×C4×C139—22no—
373C22×C4×C139—22no—
374C22×C4×C139—22no—
375C22×C4×C139—22no—
376C22×C4×C139—22no—
377C22×C4×C139—22no—
378C22×C4×C139—22no—
379C22×C4×C139—22no—
380C22×C4×C139—22no—
381C22×C4×C139—22no—
382C22×C4×C139—41no—
383C22×C4×C139—41no—
384C22×C4×C139—41no—
385C22×C4×C139—41no—
386C22×C4×C139—41no—
387C22×C4×C139—41no—
388C22×C4×C139—41no—
389C22×C4×C139—41no—
390C22×C4×C139—41no—
391C22×C4×C139—41no—
392C22×C4×C139#4114yes—
393C22×C4×C139#4114yes—
394C22×C4×C139C2411yescharacteristic
395C22×C4×C139C2411yescharacteristic
396C22×C4×C139C2411yescharacteristic
397C22×C4×C139C2411yescharacteristic
398C22×C4×C139C2411yescharacteristic
399C22×C4×C139C2411yescharacteristic
400C22×C4×C139C2411yescharacteristic
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
422C4⋊C4×C139—22no—
423C4⋊C4×C139—22no—
424C4⋊C4×C139—22no—
425C4⋊C4×C139—22no—
426C4⋊C4×C139—22no—
427C4⋊C4×C139—22no—
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—22no—
440C4⋊C4×C139—22no—
441C4⋊C4×C139—22no—
442C4⋊C4×C139—22no—
443C4⋊C4×C139—22no—
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—
461C22⋊C4×C139—22no—
462C22⋊C4×C139—22no—
463C22⋊C4×C139—22no—
464C22⋊C4×C139—22no—
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—22no—
481C22⋊C4×C139—22no—
482C22⋊C4×C139—22no—
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#4114yes—
495C42×C139—22no—
496C42×C139—22no—
497C42×C139—22no—
498C42×C139—22no—
499C42×C139—22no—
500C42×C139—22no—
501C42×C139—22no—
502C42×C139—41no—
503C42×C139—41no—
504C42×C139—41no—
505C42×C139—41no—
506C42×C139—41no—
507C42×C139—41no—
508C42×C139—41no—
509C42×C139—41no—
510C42×C139—41no—
511C42×C139—41no—
512C42×C139—41no—
513C23×C139—21no—
514C23×C139—21no—
515C23×C139—21no—
516C23×C139—21no—
517C23×C139—21no—
518C23×C139—21no—
519C23×C139—21no—
520C23×C139—21no—
521C23×C139—21no—
522C23×C139—21no—
523C23×C139—21no—
524C23×C139—21no—
525C23×C139—21no—
526C23×C139—21no—
527C23×C139—21no—
528C23×C139—21no—
529C23×C139—21no—
530C23×C139—44no—
531C23×C139—44no—
532C23×C139—44no—
533C23×C139—44no—
534C23×C139—82no—
535C23×C139—82no—
536C23×C139—82no—
537C23×C139C2×#4112yes—
538C23×C139C2×#4112yes—
539C23×C139C2×#4112yes—
540C23×C1392−1+412yes—
541C23×C139C2511yescharacteristic
542Q8×C139—44no—
543C2×C4×C139—28no—
544C2×C4×C139—21no—
545C2×C4×C139—21no—
546C2×C4×C139—21no—
547C2×C4×C139—21no—
548C2×C4×C139—21no—
549C2×C4×C139—21no—
550C2×C4×C139—21no—
551C2×C4×C139—21no—
552C2×C4×C139—21no—
553C2×C4×C139—21no—
554C2×C4×C139—21no—
555C2×C4×C139—21no—
556C2×C4×C139—21no—
557C2×C4×C139—21no—
558C2×C4×C139—21no—
559C2×C4×C139—21no—
560C2×C4×C139—21no—
561C2×C4×C139—21no—
562C2×C4×C139—21no—
563C2×C4×C139—21no—
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—44no—
622C2×C4×C139—44no—
623C2×C4×C139—44no—
624C2×C4×C139—44no—
625C2×C4×C139—82no—
626C2×C4×C139—82no—
627C2×C4×C139—82no—
628C2×C4×C139C2×#4112yes—
629C2×C4×C139C2×#4112yes—
630C2×C4×C139C2×#4112yes—
631C2×C4×C139C2×#4112yes—
632C2×C4×C139C2×#4112yes—
633C2×C4×C139C2×#4112yes—
634C2×C4×C139H(5,𝔽2)12yes—
635C22×C139—22no—
636C22×C139—22no—
637C22×C139—22no—
638C22×C139—22no—
639C22×C139—22no—
640C22×C139—22no—
641C22×C139—22no—
642C22×C139—22no—
643C22×C139—22no—
644C22×C139—41no—
645C22×C139—41no—
646C22×C139—41no—
647C22×C139—41no—
648C22×C139—41no—
649C22×C139—41no—
650C22×C139—41no—
651C22×C139—41no—
652C22×C139—41no—
653C22×C139—41no—
654C22×C139—41no—
655C22×C139—88no—
656C22×C139#52914yes—
657C22×C139C22×#4111yescharacteristic
658C22×C139C22×#4111yescharacteristic
659C22×C139C22×#4111yescharacteristic
660C22×C139C2×H(5,𝔽2)11yescharacteristic
661C22×C139C2×2−1+411yescharacteristic
662C22×C139#58511yescharacteristic
663C22×C139#58511yescharacteristic
664C4×C139—22no—
665C4×C139—22no—
666C4×C139—22no—
667C4×C139—22no—
668C4×C139—22no—
669C4×C139—22no—
670C4×C139—22no—
671C4×C139—41no—
672C4×C139—41no—
673C4×C139—41no—
674C4×C139—41no—
675C4×C139—41no—
676C4×C139—41no—
677C4×C139—41no—
678C4×C139—41no—
679C4×C139—41no—
680C4×C139—41no—
681C4×C139—41no—
682C4×C139—41no—
683C4×C139—41no—
684C4×C139—41no—
685C4×C139—41no—
686C4×C139—41no—
687C4×C139—41no—
688C4×C139—41no—
689C4×C139—41no—
690C4×C139—41no—
691C4×C139—41no—
692C2×C139—24no—
693C2×C139—42no—
694C2×C139—81no—
695C2×C139C2×#52911yescharacteristic
696C2×C139#349411yescharacteristic
697C2×C139#349511yescharacteristic
698C2×C139#349511yescharacteristic
699C2×C139#350511yescharacteristic
700C2×C139#352011yescharacteristic
701C2×C139#352111yescharacteristic
702#35824C13911yesmaximal, characteristic, direct product factor, Sylow
703C139#3582411yescharacteristic, direct product factor, Sylow
704#2654C2×C13911yescharacteristic, complemented
705#2650C2×C13911yescharacteristic, complemented
706#2627C2×C13911yescharacteristic, complemented
707#2594C2×C13911yescharacteristic, complemented
708#2587C2×C13911yescharacteristic, complemented
709#2574C2×C13911yescharacteristic, complemented
710#2573C2×C13911yescharacteristic, complemented
711#2561C2×C13911yescharacteristic
712#2529C2×C13911yescharacteristic, complemented
713#2525C2×C13911yescharacteristic, complemented
714#2525C2×C13911yescharacteristic, complemented
715#2522C2×C13911yescharacteristic, complemented
716#2519C2×C13911yescharacteristic, complemented
717#2515C2×C13911yescharacteristic, complemented
718#2493C2×C13911yescharacteristic, complemented
719#2484C2×C13911yescharacteristic, complemented
720#2482C2×C13911yescharacteristic
721#2480C2×C13911yescharacteristic
722#2475C2×C13911yescharacteristic, complemented
723#2469C2×C13911yescharacteristic, complemented
724#2442C2×C13911yescharacteristic, complemented
725#2401C2×C13911yescharacteristic, complemented
726#2396C2×C13911yescharacteristic, complemented
727C2×#396C2×C13911yescharacteristic
728#2360C2×C13911yescharacteristic, complemented
729#2344C2×C13911yescharacteristic, complemented
730#2343C2×C13911yescharacteristic, complemented
731#2342C2×C13911yescharacteristic
732#2342C2×C13911yescharacteristic
733#2342C2×C13911yescharacteristic
734#2274C2×C13911yescharacteristic, complemented
735C2×#126C22×C13911yescharacteristic
736C2×#125C22×C13911yescharacteristic, complemented
737C2×C22⋊Q8C22×C13911yescharacteristic
738C2×C4×Q8C22×C13911yescharacteristic, complemented
739C2×#117C22×C13911yescharacteristic
740C2×#117C22×C13911yescharacteristic
741C2×#117C22×C13911yescharacteristic
742C2×#117C22×C13911yescharacteristic
743C22×C4⋊C4C22×C13911yescharacteristic
744C22×C4⋊C4C22×C13911yescharacteristic
745C22×C4⋊C4C22×C13911yescharacteristic
746C22×C22⋊C4C22×C13911yescharacteristic
747C22×C22⋊C4C22×C13911yescharacteristic
748C22×C22⋊C4C22×C13911yescharacteristic
749C22×C22⋊C4C22×C13911yescharacteristic
750#401C22×C13911yescharacteristic, complemented
751#400C22×C13911yescharacteristic, complemented
752#400C22×C13911yescharacteristic, complemented
753#400C22×C13911yescharacteristic, complemented
754#400C22×C13911yescharacteristic, complemented
755#400C22×C13911yescharacteristic, complemented
756#400C22×C13911yescharacteristic, complemented
757#400C22×C13911yescharacteristic, complemented
758#400C22×C13911yescharacteristic, complemented
759#400C22×C13911yescharacteristic, complemented
760#399C22×C13911yescharacteristic
761#399C22×C13911yescharacteristic
762#398C22×C13911yescharacteristic, complemented
763#398C22×C13911yescharacteristic, complemented
764#398C22×C13911yescharacteristic, complemented
765#398C22×C13911yescharacteristic, complemented
766#398C22×C13911yescharacteristic, complemented
767#398C22×C13911yescharacteristic, complemented
768#398C22×C13911yescharacteristic, complemented
769#398C22×C13911yescharacteristic, complemented
770#397C22×C13911yescharacteristic
771#397C22×C13911yescharacteristic
772#397C22×C13911yescharacteristic
773#397C22×C13911yescharacteristic
774#397C22×C13911yescharacteristic
775#397C22×C13911yescharacteristic
776#397C22×C13911yescharacteristic
777#396C22×C13911yescharacteristic
778#396C22×C13911yescharacteristic
779#396C22×C13911yescharacteristic
780#396C22×C13911yescharacteristic
781#396C22×C13911yescharacteristic
782#396C22×C13911yescharacteristic
783#396C22×C13911yescharacteristic
784#396C22×C13911yescharacteristic
785#396C22×C13911yescharacteristic
786#395C22×C13911yescharacteristic, complemented
787#395C22×C13911yescharacteristic, complemented
788#393C22×C13911yescharacteristic
789#393C22×C13911yescharacteristic
790#391C22×C13911yescharacteristic, complemented
791#389C22×C13911yescharacteristic, complemented
792#389C22×C13911yescharacteristic, complemented
793#389C22×C13911yescharacteristic, complemented
794#389C22×C13911yescharacteristic, complemented
795#389C22×C13911yescharacteristic, complemented
796#389C22×C13911yescharacteristic, complemented
797#389C22×C13911yescharacteristic, complemented
798#388C22×C13911yescharacteristic
799#388C22×C13911yescharacteristic
800#388C22×C13911yescharacteristic
801#388C22×C13911yescharacteristic
802#388C22×C13911yescharacteristic
803#388C22×C13911yescharacteristic
804#388C22×C13911yescharacteristic
805#388C22×C13911yescharacteristic
806#388C22×C13911yescharacteristic
807#388C22×C13911yescharacteristic
808#388C22×C13911yescharacteristic
809#388C22×C13911yescharacteristic
810#388C22×C13911yescharacteristic
811#388C22×C13911yescharacteristic
812#388C22×C13911yescharacteristic
813#388C22×C13911yescharacteristic
814#388C22×C13911yescharacteristic
815#388C22×C13911yescharacteristic
816#388C22×C13911yescharacteristic
817#388C22×C13911yescharacteristic
818#388C22×C13911yescharacteristic
819#388C22×C13911yescharacteristic
820#388C22×C13911yescharacteristic
821#387C22×C13911yescharacteristic, complemented
822#387C22×C13911yescharacteristic, complemented
823#387C22×C13911yescharacteristic, complemented
824#387C22×C13911yescharacteristic, complemented
825#387C22×C13911yescharacteristic, complemented
826#387C22×C13911yescharacteristic, complemented
827#387C22×C13911yescharacteristic, complemented
828#387C22×C13911yescharacteristic, complemented
829#387C22×C13911yescharacteristic, complemented
830#387C22×C13911yescharacteristic, complemented
831#387C22×C13911yescharacteristic, complemented
832#387C22×C13911yescharacteristic, complemented
833#387C22×C13911yescharacteristic, complemented
834#387C22×C13911yescharacteristic, complemented
835#387C22×C13911yescharacteristic, complemented
836#387C22×C13911yescharacteristic, complemented
837#387C22×C13911yescharacteristic, complemented
838#385C22×C13911yescharacteristic
839#385C22×C13911yescharacteristic
840#385C22×C13911yescharacteristic
841#385C22×C13911yescharacteristic
842#385C22×C13911yescharacteristic
843#385C22×C13911yescharacteristic
844#385C22×C13911yescharacteristic
845#385C22×C13911yescharacteristic
846#385C22×C13911yescharacteristic
847#385C22×C13911yescharacteristic
848#383C22×C13911yescharacteristic, complemented
849#383C22×C13911yescharacteristic, complemented
850#382C22×C13911yescharacteristic, complemented
851#382C22×C13911yescharacteristic, complemented
852#381C22×C13911yescharacteristic
853#381C22×C13911yescharacteristic
854#381C22×C13911yescharacteristic
855#381C22×C13911yescharacteristic
856#381C22×C13911yescharacteristic
857#381C22×C13911yescharacteristic
858#380C22×C13911yescharacteristic
859#380C22×C13911yescharacteristic
860#380C22×C13911yescharacteristic
861#380C22×C13911yescharacteristic
862#379C22×C13911yescharacteristic
863#379C22×C13911yescharacteristic
864#379C22×C13911yescharacteristic
865C4×C4⋊C4C22×C13911yescharacteristic, complemented
866C4×C4⋊C4C22×C13911yescharacteristic, complemented
867C4×C4⋊C4C22×C13911yescharacteristic, complemented
868C4×C4⋊C4C22×C13911yescharacteristic, complemented
869C4×C4⋊C4C22×C13911yescharacteristic, complemented
870C4×C4⋊C4C22×C13911yescharacteristic, complemented
871C4×C4⋊C4C22×C13911yescharacteristic, complemented
872C4×C4⋊C4C22×C13911yescharacteristic, complemented
873C4×C4⋊C4C22×C13911yescharacteristic, complemented
874C4×C4⋊C4C22×C13911yescharacteristic, complemented
875C4×C4⋊C4C22×C13911yescharacteristic, complemented
876C4×C4⋊C4C22×C13911yescharacteristic, complemented
877C4×C22⋊C4C22×C13911yescharacteristic
878C4×C22⋊C4C22×C13911yescharacteristic
879C4×C22⋊C4C22×C13911yescharacteristic
880C4×C22⋊C4C22×C13911yescharacteristic
881C4×C22⋊C4C22×C13911yescharacteristic
882C4×C22⋊C4C22×C13911yescharacteristic
883C4×C22⋊C4C22×C13911yescharacteristic
884C4×C22⋊C4C22×C13911yescharacteristic
885C4×C22⋊C4C22×C13911yescharacteristic
886C4×C22⋊C4C22×C13911yescharacteristic
887C4×C22⋊C4C22×C13911yescharacteristic
888#376C22×C13911yescharacteristic, complemented
889C2×#95C22×C13911yescharacteristic
890C25C23×C13911yescharacteristic
891C22×Q8C23×C13911yescharacteristic
892C23×C4C23×C13911yescharacteristic
893C23×C4C23×C13911yescharacteristic
894C23×C4C23×C13911yescharacteristic
895C23×C4C23×C13911yescharacteristic
896C23×C4C23×C13911yescharacteristic
897C23×C4C23×C13911yescharacteristic
898C23×C4C23×C13911yescharacteristic
899C23×C4C23×C13911yescharacteristic
900#126—42no—
901#125—42no—
902C22⋊Q8—24no—
903C4×Q8—42no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—42no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4C23×C13911yescharacteristic
912C2×C4⋊C4C23×C13911yescharacteristic
913C2×C4⋊C4C23×C13911yescharacteristic
914C2×C4⋊C4C23×C13911yescharacteristic
915C2×C4⋊C4C23×C13911yescharacteristic
916C2×C4⋊C4C23×C13911yescharacteristic
917C2×C4⋊C4C23×C13911yescharacteristic
918C2×C4⋊C4C23×C13911yescharacteristic
919C2×C4⋊C4C23×C13911yescharacteristic
920C2×C4⋊C4C23×C13911yescharacteristic
921C2×C4⋊C4C23×C13911yescharacteristic
922C2×C4⋊C4C23×C13911yescharacteristic
923C2×C4⋊C4C23×C13911yescharacteristic
924C2×C4⋊C4C23×C13911yescharacteristic
925C2×C4⋊C4C23×C13911yescharacteristic
926C2×C4⋊C4C23×C13911yescharacteristic
927C2×C4⋊C4C23×C13911yescharacteristic
928C2×C4⋊C4C23×C13911yescharacteristic
929C2×C4⋊C4C23×C13911yescharacteristic
930C2×C4⋊C4C23×C13911yescharacteristic
931C2×C4⋊C4C23×C13911yescharacteristic
932C2×C4⋊C4C23×C13911yescharacteristic
933C2×C4⋊C4C23×C13911yescharacteristic
934C2×C4⋊C4C23×C13911yescharacteristic
935C2×C4⋊C4C23×C13911yescharacteristic
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×C22⋊C4—24no—
951C2×C22⋊C4—24no—
952C2×C22⋊C4—24no—
953C2×C22⋊C4—42no—
954C2×C22⋊C4C23×C13911yescharacteristic
955C2×C22⋊C4C23×C13911yescharacteristic
956C2×C22⋊C4C23×C13911yescharacteristic
957C2×C22⋊C4C23×C13911yescharacteristic
958C2×C22⋊C4C23×C13911yescharacteristic
959C2×C22⋊C4C23×C13911yescharacteristic
960C2×C22⋊C4C23×C13911yescharacteristic
961C2×C22⋊C4C23×C13911yescharacteristic
962C2×C22⋊C4C23×C13911yescharacteristic
963C2×C22⋊C4C23×C13911yescharacteristic
964C2×C22⋊C4C23×C13911yescharacteristic
965C2×C22⋊C4C23×C13911yescharacteristic
966C2×C22⋊C4C23×C13911yescharacteristic
967C2×C22⋊C4C23×C13911yescharacteristic
968C2×C22⋊C4C23×C13911yescharacteristic
969C2×C22⋊C4C23×C13911yescharacteristic
970C2×C22⋊C4C23×C13911yescharacteristic
971C2×C22⋊C4C23×C13911yescharacteristic
972C2×C22⋊C4C23×C13911yescharacteristic
973C2×C22⋊C4C23×C13911yescharacteristic
974C2×C22⋊C4C23×C13911yescharacteristic
975C2×C22⋊C4C23×C13911yescharacteristic
976C2×C22⋊C4C23×C13911yescharacteristic
977C2×C22⋊C4C23×C13911yescharacteristic
978C2×C22⋊C4C23×C13911yescharacteristic
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×C42C23×C13911yescharacteristic
989C2×C42C23×C13911yescharacteristic
990C2×C42C23×C13911yescharacteristic
991C2×C42C23×C13911yescharacteristic
992C2×C42C23×C13911yescharacteristic
993C2×C42C23×C13911yescharacteristic
994C2×C42C23×C13911yescharacteristic
995C2×C42C23×C13911yescharacteristic
996C2×C42C23×C13911yescharacteristic
997C2×C42C23×C13911yescharacteristic
998C2×C42C23×C13911yescharacteristic
999C2×C42C23×C13911yescharacteristic
1000C2×C42C23×C13911yescharacteristic
1001C2×C42C23×C13911yescharacteristic
1002C2×C42C23×C13911yescharacteristic
1003C2×C42C23×C13911yescharacteristic
1004C2×C42C23×C13911yescharacteristic
1005C2×C42C23×C13911yescharacteristic
1006#95C23×C13911yescharacteristic
1007#95C23×C13911yescharacteristic
1008#95C23×C13911yescharacteristic
1009#95C23×C13911yescharacteristic
1010#95C23×C13911yescharacteristic
1011#95C23×C13911yescharacteristic
1012#95C23×C13911yescharacteristic
1013#95C23×C13911yescharacteristic
1014#95C23×C13911yescharacteristic
1015#95C23×C13911yescharacteristic
1016#95C23×C13911yescharacteristic
1017#95C23×C13911yescharacteristic
1018#95C23×C13911yescharacteristic
1019#95C23×C13911yescharacteristic
1020#95C23×C13911yescharacteristic
1021#95C23×C13911yescharacteristic
1022#95C23×C13911yescharacteristic
1023#95C23×C13911yescharacteristic
1024#95C23×C13911yescharacteristic
1025#95C23×C13911yescharacteristic
1026#95C23×C13911yescharacteristic
1027#95C23×C13911yescharacteristic
1028#95C23×C13911yescharacteristic
1029#95C23×C13911yescharacteristic
1030#95C23×C13911yescharacteristic
1031#95C23×C13911yescharacteristic
1032#95C23×C13911yescharacteristic
1033#95C23×C13911yescharacteristic
1034#95C23×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
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24C24×C13911yescharacteristic
1068C24C24×C13911yescharacteristic
1069C24C24×C13911yescharacteristic
1070C2×Q8—22no—
1071C2×Q8—41no—
1072C2×Q8—41no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4#41×C13914yes—
1096C22×C4#41×C13914yes—
1097C22×C4C24×C13911yescharacteristic
1098C22×C4C24×C13911yescharacteristic
1099C22×C4C24×C13911yescharacteristic
1100C22×C4C24×C13911yescharacteristic
1101C22×C4C24×C13911yescharacteristic
1102C22×C4C24×C13911yescharacteristic
1103C22×C4C24×C13911yescharacteristic
1104C22×C4C24×C13911yescharacteristic
1105C22×C4C24×C13911yescharacteristic
1106C22×C4C24×C13911yescharacteristic
1107C22×C4C24×C13911yescharacteristic
1108C22×C4C24×C13911yescharacteristic
1109C22×C4C24×C13911yescharacteristic
1110C22×C4C24×C13911yescharacteristic
1111C22×C4C24×C13911yescharacteristic
1112C22×C4C24×C13911yescharacteristic
1113C22×C4C24×C13911yescharacteristic
1114C22×C4C24×C13911yescharacteristic
1115C22×C4C24×C13911yescharacteristic
1116C22×C4C24×C13911yescharacteristic
1117C22×C4C24×C13911yescharacteristic
1118C22×C4C24×C13911yescharacteristic
1119C22×C4C24×C13911yescharacteristic
1120C22×C4C24×C13911yescharacteristic
1121C22×C4C24×C13911yescharacteristic
1122C22×C4C24×C13911yescharacteristic
1123C22×C4C24×C13911yescharacteristic
1124C22×C4C24×C13911yescharacteristic
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4#41×C13914yes—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C42—41no—
1215C42—41no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—44no—
1234C23—44no—
1235C23—44no—
1236C23—44no—
1237C23—82no—
1238C23—82no—
1239C23—82no—
1240C23C2×#41×C13912yes—
1241C23C2×#41×C13912yes—
1242C23C2×#41×C13912yes—
1243C232−1+4×C13912yes—
1244C23C25×C13911yescharacteristic
1245Q8—44no—
1246C2×C4—28no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
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—44no—
1325C2×C4—44no—
1326C2×C4—44no—
1327C2×C4—44no—
1328C2×C4—82no—
1329C2×C4—82no—
1330C2×C4—82no—
1331C2×C4C2×#41×C13912yes—
1332C2×C4C2×#41×C13912yes—
1333C2×C4C2×#41×C13912yes—
1334C2×C4C2×#41×C13912yes—
1335C2×C4C2×#41×C13912yes—
1336C2×C4C2×#41×C13912yes—
1337C2×C4H(5,𝔽2)×C13912yes—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—88no—
1359C22#529×C13914yes—
1360C22C22×#41×C13911yescharacteristic
1361C22C22×#41×C13911yescharacteristic
1362C22C22×#41×C13911yescharacteristic
1363C22C2×H(5,𝔽2)×C13911yescharacteristic
1364C22C2×2−1+4×C13911yescharacteristic
1365C22#585×C13911yescharacteristic
1366C22#585×C13911yescharacteristic
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C2—24no—
1396C2—42no—
1397C2—81no—
1398C2C2×#529×C13911yescharacteristic
1399C2#3494×C13911yescharacteristic
1400C2#3495×C13911yescharacteristic
1401C2#3495×C13911yescharacteristic
1402C2#3505×C13911yescharacteristic
1403C2#3520×C13911yescharacteristic
1404C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC25×C139C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2654×C139C2semidirect
2. #2650×C139C2semidirect
3. #2627×C139C2semidirect
4. #2594×C139C2semidirect
5. #2587×C139C2semidirect
6. #2574×C139C2semidirect
7. #2573×C139C2semidirect
9. #2529×C139C2semidirect
10. #2525×C139C2semidirect
11. #2525×C139C2semidirect
12. #2522×C139C2semidirect
13. #2519×C139C2semidirect
14. #2515×C139C2semidirect
15. #2493×C139C2semidirect
16. #2484×C139C2semidirect
19. #2475×C139C2semidirect
20. #2469×C139C2semidirect
21. #2442×C139C2semidirect
22. #2401×C139C2semidirect
23. #2396×C139C2semidirect
25. #2360×C139C2semidirect
26. #2344×C139C2semidirect
27. #2343×C139C2semidirect
31. #2274×C139C2semidirect
33. C2×#125×C139C22semidirect
35. C2×C4×Q8×C139C22semidirect
47. #401×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
59. #398×C139C22semidirect
60. #398×C139C22semidirect
61. #398×C139C22semidirect
62. #398×C139C22semidirect
63. #398×C139C22semidirect
64. #398×C139C22semidirect
65. #398×C139C22semidirect
66. #398×C139C22semidirect
83. #395×C139C22semidirect
84. #395×C139C22semidirect
87. #391×C139C22semidirect
88. #389×C139C22semidirect
89. #389×C139C22semidirect
90. #389×C139C22semidirect
91. #389×C139C22semidirect
92. #389×C139C22semidirect
93. #389×C139C22semidirect
94. #389×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
131. #387×C139C22semidirect
132. #387×C139C22semidirect
133. #387×C139C22semidirect
134. #387×C139C22semidirect
145. #383×C139C22semidirect
146. #383×C139C22semidirect
147. #382×C139C22semidirect
148. #382×C139C22semidirect
162. C4×C4⋊C4×C139C22semidirect
163. C4×C4⋊C4×C139C22semidirect
164. C4×C4⋊C4×C139C22semidirect
165. C4×C4⋊C4×C139C22semidirect
166. C4×C4⋊C4×C139C22semidirect
167. C4×C4⋊C4×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
169. C4×C4⋊C4×C139C22semidirect
170. C4×C4⋊C4×C139C22semidirect
171. C4×C4⋊C4×C139C22semidirect
172. C4×C4⋊C4×C139C22semidirect
173. C4×C4⋊C4×C139C22semidirect
185. #376×C139C22semidirect
702. #35824C139direct (N × H)
703. C139#35824direct (N × H)
704. #2654C2×C139semidirect
705. #2650C2×C139semidirect
706. #2627C2×C139semidirect
707. #2594C2×C139semidirect
708. #2587C2×C139semidirect
709. #2574C2×C139semidirect
710. #2573C2×C139semidirect
712. #2529C2×C139semidirect
713. #2525C2×C139semidirect
714. #2525C2×C139semidirect
715. #2522C2×C139semidirect
716. #2519C2×C139semidirect
717. #2515C2×C139semidirect
718. #2493C2×C139semidirect
719. #2484C2×C139semidirect
722. #2475C2×C139semidirect
723. #2469C2×C139semidirect
724. #2442C2×C139semidirect
725. #2401C2×C139semidirect
726. #2396C2×C139semidirect
728. #2360C2×C139semidirect
729. #2344C2×C139semidirect
730. #2343C2×C139semidirect
734. #2274C2×C139semidirect
736. C2×#125C22×C139semidirect
738. C2×C4×Q8C22×C139semidirect
750. #401C22×C139semidirect
751. #400C22×C139semidirect
752. #400C22×C139semidirect
753. #400C22×C139semidirect
754. #400C22×C139semidirect
755. #400C22×C139semidirect
756. #400C22×C139semidirect
757. #400C22×C139semidirect
758. #400C22×C139semidirect
759. #400C22×C139semidirect
762. #398C22×C139semidirect
763. #398C22×C139semidirect
764. #398C22×C139semidirect
765. #398C22×C139semidirect
766. #398C22×C139semidirect
767. #398C22×C139semidirect
768. #398C22×C139semidirect
769. #398C22×C139semidirect
786. #395C22×C139semidirect
787. #395C22×C139semidirect
790. #391C22×C139semidirect
791. #389C22×C139semidirect
792. #389C22×C139semidirect
793. #389C22×C139semidirect
794. #389C22×C139semidirect
795. #389C22×C139semidirect
796. #389C22×C139semidirect
797. #389C22×C139semidirect
821. #387C22×C139semidirect
822. #387C22×C139semidirect
823. #387C22×C139semidirect
824. #387C22×C139semidirect
825. #387C22×C139semidirect
826. #387C22×C139semidirect
827. #387C22×C139semidirect
828. #387C22×C139semidirect
829. #387C22×C139semidirect
830. #387C22×C139semidirect
831. #387C22×C139semidirect
832. #387C22×C139semidirect
833. #387C22×C139semidirect
834. #387C22×C139semidirect
835. #387C22×C139semidirect
836. #387C22×C139semidirect
837. #387C22×C139semidirect
848. #383C22×C139semidirect
849. #383C22×C139semidirect
850. #382C22×C139semidirect
851. #382C22×C139semidirect
865. C4×C4⋊C4C22×C139semidirect
866. C4×C4⋊C4C22×C139semidirect
867. C4×C4⋊C4C22×C139semidirect
868. C4×C4⋊C4C22×C139semidirect
869. C4×C4⋊C4C22×C139semidirect
870. C4×C4⋊C4C22×C139semidirect
871. C4×C4⋊C4C22×C139semidirect
872. C4×C4⋊C4C22×C139semidirect
873. C4×C4⋊C4C22×C139semidirect
874. C4×C4⋊C4C22×C139semidirect
875. C4×C4⋊C4C22×C139semidirect
876. C4×C4⋊C4C22×C139semidirect
888. #376C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2654×C1392
#2650×C1392
#2627×C1392
#2594×C1392
#2587×C1392
#2574×C1392
#2573×C1392
#2561×C1392
#2529×C1392
#2525×C1392
#2522×C1392
#2519×C1392
#2515×C1392
#2493×C1392
#2484×C1392
#2482×C1392
#2480×C1392
#2475×C1392
#2469×C1392
#2442×C1392
#2401×C1392
#2396×C1392
C2×#396×C1392
#2360×C1392
#2344×C1392
#2343×C1392
#2342×C1392
#2274×C1392
#35824139