Finite Group Databasebeta

← C139×#36344 #48030940

Subgroups — C139×#36344 #48030940

Order 35584.

1798 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2866×C139C211yesmaximal, characteristic, complemented
2#2865×C139C211yesmaximal, characteristic, complemented
3#2855×C139C211yesmaximal, characteristic, complemented
4#2596×C139C211yesmaximal, characteristic, complemented
5#2596×C139C211yesmaximal, characteristic, complemented
6#2594×C139C211yesmaximal, characteristic, complemented
7#2589×C139C211yesmaximal, characteristic, complemented
8#2577×C139C211yesmaximal, characteristic, complemented
9#2575×C139C211yesmaximal, characteristic, complemented
10#2569×C139C211yesmaximal, characteristic, complemented
11#2561×C139C211yesmaximal, characteristic
12#2532×C139C211yesmaximal, characteristic, complemented
13#2532×C139C211yesmaximal, characteristic, complemented
14#2530×C139C211yesmaximal, characteristic, complemented
15#2529×C139C211yesmaximal, characteristic, complemented
16#2527×C139C211yesmaximal, characteristic, complemented
17#2493×C139C211yesmaximal, characteristic, complemented
18#2484×C139C211yesmaximal, characteristic, complemented
19#2482×C139C211yesmaximal, characteristic
20#2480×C139C211yesmaximal, characteristic
21#2478×C139C211yesmaximal, characteristic, complemented
22#2368×C139C211yesmaximal, characteristic, complemented
23#2344×C139C211yesmaximal, characteristic, complemented
24#2343×C139C211yesmaximal, characteristic, complemented
25#2342×C139C211yesmaximal, characteristic
26#2342×C139C211yesmaximal, characteristic
27#2342×C139C211yesmaximal, characteristic
28C4×#126×C139C211yesmaximal, characteristic, complemented
29#2298×C139C211yesmaximal, characteristic, complemented
30C2×#388×C139C211yesmaximal, characteristic
31C4×#117×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×C22⋊Q8×C139C2211yescharacteristic
34C2×#117×C139C2211yescharacteristic
35C2×#117×C139C2211yescharacteristic
36C2×#117×C139C2211yescharacteristic
37C2×#117×C139C2211yescharacteristic
38C22×C4⋊C4×C139C2211yescharacteristic
39C22×C22⋊C4×C139C2211yescharacteristic
40C22×C22⋊C4×C139C2211yescharacteristic
41C22×C22⋊C4×C139C2211yescharacteristic
42C22×C22⋊C4×C139C2211yescharacteristic
43C22×C42×C139C2211yescharacteristic
44#401×C139C2211yescharacteristic, complemented
45#400×C139C2211yescharacteristic, complemented
46#400×C139C2211yescharacteristic, complemented
47#400×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#398×C139C2211yescharacteristic, complemented
55#398×C139C2211yescharacteristic, complemented
56#398×C139C2211yescharacteristic, complemented
57#398×C139C2211yescharacteristic, complemented
58#397×C139C2211yescharacteristic
59#397×C139C2211yescharacteristic
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic
64#397×C139C2211yescharacteristic
65#396×C139C2211yescharacteristic
66#393×C139C2211yescharacteristic
67#393×C139C2211yescharacteristic
68#391×C139C2211yescharacteristic, complemented
69#391×C139C2211yescharacteristic, complemented
70#391×C139C2211yescharacteristic, complemented
71#391×C139C2211yescharacteristic, complemented
72#389×C139C2211yescharacteristic, complemented
73#389×C139C2211yescharacteristic, complemented
74#389×C139C2211yescharacteristic, complemented
75#389×C139C2211yescharacteristic, complemented
76#388×C139C2211yescharacteristic
77#388×C139C2211yescharacteristic
78#388×C139C2211yescharacteristic
79#388×C139C2211yescharacteristic
80#388×C139C2211yescharacteristic
81#388×C139C2211yescharacteristic
82#388×C139C2211yescharacteristic
83#388×C139C2211yescharacteristic
84#388×C139C2211yescharacteristic
85#388×C139C2211yescharacteristic
86#388×C139C2211yescharacteristic
87#388×C139C2211yescharacteristic
88#388×C139C2211yescharacteristic
89#388×C139C2211yescharacteristic
90#388×C139C2211yescharacteristic
91#388×C139C2211yescharacteristic
92#388×C139C2211yescharacteristic
93#388×C139C2211yescharacteristic
94#388×C139C2211yescharacteristic
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#387×C139C2211yescharacteristic, complemented
108#387×C139C2211yescharacteristic, complemented
109#387×C139C2211yescharacteristic, complemented
110#387×C139C2211yescharacteristic, complemented
111#387×C139C2211yescharacteristic, complemented
112#387×C139C2211yescharacteristic, complemented
113#387×C139C2211yescharacteristic, complemented
114#387×C139C2211yescharacteristic, complemented
115#387×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
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#385×C139C2211yescharacteristic
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#383×C139C2211yescharacteristic, complemented
145#383×C139C2211yescharacteristic, complemented
146#382×C139C2211yescharacteristic, complemented
147#381×C139C2211yescharacteristic
148#381×C139C2211yescharacteristic
149#381×C139C2211yescharacteristic
150#381×C139C2211yescharacteristic
151#381×C139C2211yescharacteristic
152#381×C139C2211yescharacteristic
153#380×C139C2211yescharacteristic
154#380×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#379×C139C2211yescharacteristic
158#379×C139C2211yescharacteristic
159#379×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic, complemented
161C4×C4⋊C4×C139C2211yescharacteristic, complemented
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×C22⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180#376×C139C2211yescharacteristic, complemented
181#376×C139C2211yescharacteristic, complemented
182#376×C139C2211yescharacteristic, complemented
183C2×#95×C139C2211yescharacteristic
184C2×#95×C139C2211yescharacteristic
185C43×C139C2211yescharacteristic, complemented
186C43×C139C2211yescharacteristic, complemented
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—24no—
198C22⋊Q8×C139—24no—
199#117×C139—24no—
200#117×C139—24no—
201#117×C139—24no—
202#117×C139—24no—
203C2×C4⋊C4×C139—24no—
204C2×C4⋊C4×C139C2311yescharacteristic
205C2×C4⋊C4×C139C2311yescharacteristic
206C2×C4⋊C4×C139C2311yescharacteristic
207C2×C4⋊C4×C139C2311yescharacteristic
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×C22⋊C4×C139—24no—
236C2×C22⋊C4×C139—24no—
237C2×C22⋊C4×C139—24no—
238C2×C22⋊C4×C139—24no—
239C2×C22⋊C4×C139C2311yescharacteristic
240C2×C22⋊C4×C139C2311yescharacteristic
241C2×C22⋊C4×C139C2311yescharacteristic
242C2×C22⋊C4×C139C2311yescharacteristic
243C2×C22⋊C4×C139C2311yescharacteristic
244C2×C22⋊C4×C139C2311yescharacteristic
245C2×C22⋊C4×C139C2311yescharacteristic
246C2×C22⋊C4×C139C2311yescharacteristic
247C2×C22⋊C4×C139C2311yescharacteristic
248C2×C22⋊C4×C139C2311yescharacteristic
249C2×C22⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139C2311yescharacteristic
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×C42×C139—24no—
274C2×C42×C139C2311yescharacteristic
275C2×C42×C139C2311yescharacteristic
276C2×C42×C139C2311yescharacteristic
277C2×C42×C139C2311yescharacteristic
278C2×C42×C139C2311yescharacteristic
279C2×C42×C139C2311yescharacteristic
280C2×C42×C139C2311yescharacteristic
281C2×C42×C139C2311yescharacteristic
282C2×C42×C139C2311yescharacteristic
283C2×C42×C139C2311yescharacteristic
284C2×C42×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
296#95×C139C2311yescharacteristic
297#95×C139C2311yescharacteristic
298#95×C139C2311yescharacteristic
299#95×C139C2311yescharacteristic
300#95×C139C2311yescharacteristic
301#95×C139C2311yescharacteristic
302#95×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
354C24×C139—22no—
355C24×C139—22no—
356C24×C139—22no—
357C24×C139—22no—
358C24×C139—41no—
359C24×C139—41no—
360C24×C139—41no—
361C24×C139C2411yescharacteristic
362C24×C139C2411yescharacteristic
363C24×C139C2411yescharacteristic
364C2×Q8×C139—22no—
365C2×Q8×C139—41no—
366C2×Q8×C139—41no—
367C22×C4×C139—22no—
368C22×C4×C139—22no—
369C22×C4×C139—22no—
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—41no—
381C22×C4×C139—41no—
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#4114yes—
390C22×C4×C139#4114yes—
391C22×C4×C139C2411yescharacteristic
392C22×C4×C139C2411yescharacteristic
393C22×C4×C139C2411yescharacteristic
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
419C4⋊C4×C139—22no—
420C4⋊C4×C139—22no—
421C4⋊C4×C139—22no—
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—41no—
438C4⋊C4×C139—41no—
439C4⋊C4×C139—41no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139—41no—
447C4⋊C4×C139—41no—
448C4⋊C4×C139—41no—
449C4⋊C4×C139—41no—
450C22⋊C4×C139—22no—
451C22⋊C4×C139—22no—
452C22⋊C4×C139—22no—
453C22⋊C4×C139—22no—
454C22⋊C4×C139—22no—
455C22⋊C4×C139—22no—
456C22⋊C4×C139—22no—
457C22⋊C4×C139—22no—
458C22⋊C4×C139—22no—
459C22⋊C4×C139—22no—
460C22⋊C4×C139—22no—
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—41no—
474C22⋊C4×C139—41no—
475C22⋊C4×C139—41no—
476C22⋊C4×C139—41no—
477C22⋊C4×C139—41no—
478C22⋊C4×C139—41no—
479C22⋊C4×C139—41no—
480C22⋊C4×C139—41no—
481C22⋊C4×C139—41no—
482C22⋊C4×C139#4114yes—
483C22⋊C4×C139#4114yes—
484C42×C139—22no—
485C42×C139—22no—
486C42×C139—22no—
487C42×C139—22no—
488C42×C139—22no—
489C42×C139—22no—
490C42×C139—22no—
491C42×C139—22no—
492C42×C139—22no—
493C42×C139—22no—
494C42×C139—22no—
495C42×C139—22no—
496C42×C139—22no—
497C42×C139—41no—
498C42×C139—41no—
499C42×C139—41no—
500C42×C139—41no—
501C42×C139—41no—
502C42×C139—41no—
503C42×C139—41no—
504C42×C139—41no—
505C42×C139—41no—
506C23×C139—21no—
507C23×C139—21no—
508C23×C139—21no—
509C23×C139—21no—
510C23×C139—21no—
511C23×C139—21no—
512C23×C139—21no—
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—44no—
524C23×C139—44no—
525C23×C139—44no—
526C23×C139—44no—
527C23×C139—82no—
528C23×C139—82no—
529C23×C139—82no—
530C23×C139C2×#4112yes—
531C23×C139C2×#4112yes—
532C23×C139C2×#4112yes—
533C23×C139C2×#4112yes—
534C23×C139C2511yescharacteristic
535Q8×C139—82no—
536C2×C4×C139—28no—
537C2×C4×C139—21no—
538C2×C4×C139—21no—
539C2×C4×C139—21no—
540C2×C4×C139—21no—
541C2×C4×C139—21no—
542C2×C4×C139—21no—
543C2×C4×C139—21no—
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—44no—
614C2×C4×C139—44no—
615C2×C4×C139—44no—
616C2×C4×C139—44no—
617C2×C4×C139—44no—
618C2×C4×C139—82no—
619C2×C4×C139—82no—
620C2×C4×C139C2×#4112yes—
621C2×C4×C139C2×#4112yes—
622C2×C4×C139C2×#4112yes—
623C2×C4×C139C2×#4112yes—
624C2×C4×C139C2×#4112yes—
625C2×C4×C139C2×#4112yes—
626C2×C4×C139C2×#4112yes—
627C2×C4×C139C2×#4112yes—
628C22×C139—22no—
629C22×C139—22no—
630C22×C139—22no—
631C22×C139—22no—
632C22×C139—22no—
633C22×C139—22no—
634C22×C139—22no—
635C22×C139—22no—
636C22×C139—22no—
637C22×C139—41no—
638C22×C139—41no—
639C22×C139—41no—
640C22×C139—41no—
641C22×C139—41no—
642C22×C139—41no—
643C22×C139—41no—
644C22×C139—41no—
645C22×C139—41no—
646C22×C139—41no—
647C22×C139—41no—
648C22×C139—88no—
649C22×C139#52914yes—
650C22×C139C22×#4111yescharacteristic
651C22×C139C22×#4111yescharacteristic
652C22×C139C22×#4111yescharacteristic
653C22×C139C22×#4111yescharacteristic
654C22×C139#58511yescharacteristic
655C22×C139#58511yescharacteristic
656C22×C139#58511yescharacteristic
657C4×C139—22no—
658C4×C139—22no—
659C4×C139—22no—
660C4×C139—22no—
661C4×C139—22no—
662C4×C139—22no—
663C4×C139—22no—
664C4×C139—22no—
665C4×C139—41no—
666C4×C139—41no—
667C4×C139—41no—
668C4×C139—41no—
669C4×C139—41no—
670C4×C139—41no—
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—
685C2×C139—24no—
686C2×C139—42no—
687C2×C139—81no—
688C2×C139C2×#52911yescharacteristic
689C2×C139#347511yescharacteristic
690C2×C139#347511yescharacteristic
691C2×C139#347511yescharacteristic
692C2×C139#349111yescharacteristic
693C2×C139#351011yescharacteristic
694C2×C139#352111yescharacteristic
695#36344C13911yesmaximal, characteristic, direct product factor, Sylow
696C139#3634411yescharacteristic, direct product factor, Sylow
697#2866C2×C13911yescharacteristic, complemented
698#2865C2×C13911yescharacteristic, complemented
699#2855C2×C13911yescharacteristic, complemented
700#2596C2×C13911yescharacteristic, complemented
701#2596C2×C13911yescharacteristic, complemented
702#2594C2×C13911yescharacteristic, complemented
703#2589C2×C13911yescharacteristic, complemented
704#2577C2×C13911yescharacteristic, complemented
705#2575C2×C13911yescharacteristic, complemented
706#2569C2×C13911yescharacteristic, complemented
707#2561C2×C13911yescharacteristic
708#2532C2×C13911yescharacteristic, complemented
709#2532C2×C13911yescharacteristic, complemented
710#2530C2×C13911yescharacteristic, complemented
711#2529C2×C13911yescharacteristic, complemented
712#2527C2×C13911yescharacteristic, complemented
713#2493C2×C13911yescharacteristic, complemented
714#2484C2×C13911yescharacteristic, complemented
715#2482C2×C13911yescharacteristic
716#2480C2×C13911yescharacteristic
717#2478C2×C13911yescharacteristic, complemented
718#2368C2×C13911yescharacteristic, complemented
719#2344C2×C13911yescharacteristic, complemented
720#2343C2×C13911yescharacteristic, complemented
721#2342C2×C13911yescharacteristic
722#2342C2×C13911yescharacteristic
723#2342C2×C13911yescharacteristic
724C4×#126C2×C13911yescharacteristic, complemented
725#2298C2×C13911yescharacteristic, complemented
726C2×#388C2×C13911yescharacteristic
727C4×#117C2×C13911yescharacteristic, complemented
728C2×#126C22×C13911yescharacteristic
729C2×C22⋊Q8C22×C13911yescharacteristic
730C2×#117C22×C13911yescharacteristic
731C2×#117C22×C13911yescharacteristic
732C2×#117C22×C13911yescharacteristic
733C2×#117C22×C13911yescharacteristic
734C22×C4⋊C4C22×C13911yescharacteristic
735C22×C22⋊C4C22×C13911yescharacteristic
736C22×C22⋊C4C22×C13911yescharacteristic
737C22×C22⋊C4C22×C13911yescharacteristic
738C22×C22⋊C4C22×C13911yescharacteristic
739C22×C42C22×C13911yescharacteristic
740#401C22×C13911yescharacteristic, complemented
741#400C22×C13911yescharacteristic, complemented
742#400C22×C13911yescharacteristic, complemented
743#400C22×C13911yescharacteristic, complemented
744#400C22×C13911yescharacteristic, complemented
745#400C22×C13911yescharacteristic, complemented
746#400C22×C13911yescharacteristic, complemented
747#400C22×C13911yescharacteristic, complemented
748#399C22×C13911yescharacteristic
749#399C22×C13911yescharacteristic
750#398C22×C13911yescharacteristic, complemented
751#398C22×C13911yescharacteristic, complemented
752#398C22×C13911yescharacteristic, complemented
753#398C22×C13911yescharacteristic, complemented
754#397C22×C13911yescharacteristic
755#397C22×C13911yescharacteristic
756#397C22×C13911yescharacteristic
757#397C22×C13911yescharacteristic
758#397C22×C13911yescharacteristic
759#397C22×C13911yescharacteristic
760#397C22×C13911yescharacteristic
761#396C22×C13911yescharacteristic
762#393C22×C13911yescharacteristic
763#393C22×C13911yescharacteristic
764#391C22×C13911yescharacteristic, complemented
765#391C22×C13911yescharacteristic, complemented
766#391C22×C13911yescharacteristic, complemented
767#391C22×C13911yescharacteristic, complemented
768#389C22×C13911yescharacteristic, complemented
769#389C22×C13911yescharacteristic, complemented
770#389C22×C13911yescharacteristic, complemented
771#389C22×C13911yescharacteristic, complemented
772#388C22×C13911yescharacteristic
773#388C22×C13911yescharacteristic
774#388C22×C13911yescharacteristic
775#388C22×C13911yescharacteristic
776#388C22×C13911yescharacteristic
777#388C22×C13911yescharacteristic
778#388C22×C13911yescharacteristic
779#388C22×C13911yescharacteristic
780#388C22×C13911yescharacteristic
781#388C22×C13911yescharacteristic
782#388C22×C13911yescharacteristic
783#388C22×C13911yescharacteristic
784#388C22×C13911yescharacteristic
785#388C22×C13911yescharacteristic
786#388C22×C13911yescharacteristic
787#388C22×C13911yescharacteristic
788#388C22×C13911yescharacteristic
789#388C22×C13911yescharacteristic
790#388C22×C13911yescharacteristic
791#388C22×C13911yescharacteristic
792#388C22×C13911yescharacteristic
793#388C22×C13911yescharacteristic
794#388C22×C13911yescharacteristic
795#388C22×C13911yescharacteristic
796#388C22×C13911yescharacteristic
797#388C22×C13911yescharacteristic
798#388C22×C13911yescharacteristic
799#388C22×C13911yescharacteristic
800#388C22×C13911yescharacteristic
801#388C22×C13911yescharacteristic
802#388C22×C13911yescharacteristic
803#387C22×C13911yescharacteristic, complemented
804#387C22×C13911yescharacteristic, complemented
805#387C22×C13911yescharacteristic, complemented
806#387C22×C13911yescharacteristic, complemented
807#387C22×C13911yescharacteristic, complemented
808#387C22×C13911yescharacteristic, complemented
809#387C22×C13911yescharacteristic, complemented
810#387C22×C13911yescharacteristic, complemented
811#387C22×C13911yescharacteristic, complemented
812#387C22×C13911yescharacteristic, complemented
813#387C22×C13911yescharacteristic, complemented
814#387C22×C13911yescharacteristic, complemented
815#387C22×C13911yescharacteristic, complemented
816#387C22×C13911yescharacteristic, complemented
817#387C22×C13911yescharacteristic, complemented
818#387C22×C13911yescharacteristic, complemented
819#387C22×C13911yescharacteristic, complemented
820#387C22×C13911yescharacteristic, complemented
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#385C22×C13911yescharacteristic
831#385C22×C13911yescharacteristic
832#385C22×C13911yescharacteristic
833#385C22×C13911yescharacteristic
834#385C22×C13911yescharacteristic
835#385C22×C13911yescharacteristic
836#385C22×C13911yescharacteristic
837#385C22×C13911yescharacteristic
838#385C22×C13911yescharacteristic
839#385C22×C13911yescharacteristic
840#383C22×C13911yescharacteristic, complemented
841#383C22×C13911yescharacteristic, complemented
842#382C22×C13911yescharacteristic, complemented
843#381C22×C13911yescharacteristic
844#381C22×C13911yescharacteristic
845#381C22×C13911yescharacteristic
846#381C22×C13911yescharacteristic
847#381C22×C13911yescharacteristic
848#381C22×C13911yescharacteristic
849#380C22×C13911yescharacteristic
850#380C22×C13911yescharacteristic
851#380C22×C13911yescharacteristic
852#380C22×C13911yescharacteristic
853#379C22×C13911yescharacteristic
854#379C22×C13911yescharacteristic
855#379C22×C13911yescharacteristic
856C4×C4⋊C4C22×C13911yescharacteristic, complemented
857C4×C4⋊C4C22×C13911yescharacteristic, complemented
858C4×C4⋊C4C22×C13911yescharacteristic, complemented
859C4×C4⋊C4C22×C13911yescharacteristic, complemented
860C4×C4⋊C4C22×C13911yescharacteristic, complemented
861C4×C4⋊C4C22×C13911yescharacteristic, complemented
862C4×C4⋊C4C22×C13911yescharacteristic, complemented
863C4×C4⋊C4C22×C13911yescharacteristic, complemented
864C4×C4⋊C4C22×C13911yescharacteristic, complemented
865C4×C22⋊C4C22×C13911yescharacteristic
866C4×C22⋊C4C22×C13911yescharacteristic
867C4×C22⋊C4C22×C13911yescharacteristic
868C4×C22⋊C4C22×C13911yescharacteristic
869C4×C22⋊C4C22×C13911yescharacteristic
870C4×C22⋊C4C22×C13911yescharacteristic
871C4×C22⋊C4C22×C13911yescharacteristic
872C4×C22⋊C4C22×C13911yescharacteristic
873C4×C22⋊C4C22×C13911yescharacteristic
874C4×C22⋊C4C22×C13911yescharacteristic
875C4×C22⋊C4C22×C13911yescharacteristic
876#376C22×C13911yescharacteristic, complemented
877#376C22×C13911yescharacteristic, complemented
878#376C22×C13911yescharacteristic, complemented
879C2×#95C22×C13911yescharacteristic
880C2×#95C22×C13911yescharacteristic
881C43C22×C13911yescharacteristic, complemented
882C43C22×C13911yescharacteristic, complemented
883C25C23×C13911yescharacteristic
884C22×Q8C23×C13911yescharacteristic
885C23×C4C23×C13911yescharacteristic
886C23×C4C23×C13911yescharacteristic
887C23×C4C23×C13911yescharacteristic
888C23×C4C23×C13911yescharacteristic
889C23×C4C23×C13911yescharacteristic
890C23×C4C23×C13911yescharacteristic
891C23×C4C23×C13911yescharacteristic
892C23×C4C23×C13911yescharacteristic
893#126—24no—
894C22⋊Q8—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4C23×C13911yescharacteristic
901C2×C4⋊C4C23×C13911yescharacteristic
902C2×C4⋊C4C23×C13911yescharacteristic
903C2×C4⋊C4C23×C13911yescharacteristic
904C2×C4⋊C4C23×C13911yescharacteristic
905C2×C4⋊C4C23×C13911yescharacteristic
906C2×C4⋊C4C23×C13911yescharacteristic
907C2×C4⋊C4C23×C13911yescharacteristic
908C2×C4⋊C4C23×C13911yescharacteristic
909C2×C4⋊C4C23×C13911yescharacteristic
910C2×C4⋊C4C23×C13911yescharacteristic
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×C22⋊C4—24no—
932C2×C22⋊C4—24no—
933C2×C22⋊C4—24no—
934C2×C22⋊C4—24no—
935C2×C22⋊C4C23×C13911yescharacteristic
936C2×C22⋊C4C23×C13911yescharacteristic
937C2×C22⋊C4C23×C13911yescharacteristic
938C2×C22⋊C4C23×C13911yescharacteristic
939C2×C22⋊C4C23×C13911yescharacteristic
940C2×C22⋊C4C23×C13911yescharacteristic
941C2×C22⋊C4C23×C13911yescharacteristic
942C2×C22⋊C4C23×C13911yescharacteristic
943C2×C22⋊C4C23×C13911yescharacteristic
944C2×C22⋊C4C23×C13911yescharacteristic
945C2×C22⋊C4C23×C13911yescharacteristic
946C2×C22⋊C4C23×C13911yescharacteristic
947C2×C22⋊C4C23×C13911yescharacteristic
948C2×C22⋊C4C23×C13911yescharacteristic
949C2×C22⋊C4C23×C13911yescharacteristic
950C2×C22⋊C4C23×C13911yescharacteristic
951C2×C22⋊C4C23×C13911yescharacteristic
952C2×C22⋊C4C23×C13911yescharacteristic
953C2×C22⋊C4C23×C13911yescharacteristic
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×C42—24no—
970C2×C42C23×C13911yescharacteristic
971C2×C42C23×C13911yescharacteristic
972C2×C42C23×C13911yescharacteristic
973C2×C42C23×C13911yescharacteristic
974C2×C42C23×C13911yescharacteristic
975C2×C42C23×C13911yescharacteristic
976C2×C42C23×C13911yescharacteristic
977C2×C42C23×C13911yescharacteristic
978C2×C42C23×C13911yescharacteristic
979C2×C42C23×C13911yescharacteristic
980C2×C42C23×C13911yescharacteristic
981C2×C42C23×C13911yescharacteristic
982C2×C42C23×C13911yescharacteristic
983C2×C42C23×C13911yescharacteristic
984C2×C42C23×C13911yescharacteristic
985C2×C42C23×C13911yescharacteristic
986C2×C42C23×C13911yescharacteristic
987C2×C42C23×C13911yescharacteristic
988C2×C42C23×C13911yescharacteristic
989C2×C42C23×C13911yescharacteristic
990C2×C42C23×C13911yescharacteristic
991C2×C42C23×C13911yescharacteristic
992#95C23×C13911yescharacteristic
993#95C23×C13911yescharacteristic
994#95C23×C13911yescharacteristic
995#95C23×C13911yescharacteristic
996#95C23×C13911yescharacteristic
997#95C23×C13911yescharacteristic
998#95C23×C13911yescharacteristic
999#95C23×C13911yescharacteristic
1000#95C23×C13911yescharacteristic
1001#95C23×C13911yescharacteristic
1002#95C23×C13911yescharacteristic
1003#95C23×C13911yescharacteristic
1004#95C23×C13911yescharacteristic
1005#95C23×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
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24C24×C13911yescharacteristic
1058C24C24×C13911yescharacteristic
1059C24C24×C13911yescharacteristic
1060C2×Q8—22no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4#41×C13914yes—
1086C22×C4#41×C13914yes—
1087C22×C4C24×C13911yescharacteristic
1088C22×C4C24×C13911yescharacteristic
1089C22×C4C24×C13911yescharacteristic
1090C22×C4C24×C13911yescharacteristic
1091C22×C4C24×C13911yescharacteristic
1092C22×C4C24×C13911yescharacteristic
1093C22×C4C24×C13911yescharacteristic
1094C22×C4C24×C13911yescharacteristic
1095C22×C4C24×C13911yescharacteristic
1096C22×C4C24×C13911yescharacteristic
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
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
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—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4#41×C13914yes—
1179C22⋊C4#41×C13914yes—
1180C42—22no—
1181C42—22no—
1182C42—22no—
1183C42—22no—
1184C42—22no—
1185C42—22no—
1186C42—22no—
1187C42—22no—
1188C42—22no—
1189C42—22no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—41no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—41no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—44no—
1220C23—44no—
1221C23—44no—
1222C23—44no—
1223C23—82no—
1224C23—82no—
1225C23—82no—
1226C23C2×#41×C13912yes—
1227C23C2×#41×C13912yes—
1228C23C2×#41×C13912yes—
1229C23C2×#41×C13912yes—
1230C23C25×C13911yescharacteristic
1231Q8—82no—
1232C2×C4—28no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
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—44no—
1310C2×C4—44no—
1311C2×C4—44no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4—82no—
1315C2×C4—82no—
1316C2×C4C2×#41×C13912yes—
1317C2×C4C2×#41×C13912yes—
1318C2×C4C2×#41×C13912yes—
1319C2×C4C2×#41×C13912yes—
1320C2×C4C2×#41×C13912yes—
1321C2×C4C2×#41×C13912yes—
1322C2×C4C2×#41×C13912yes—
1323C2×C4C2×#41×C13912yes—
1324C22—22no—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—88no—
1345C22#529×C13914yes—
1346C22C22×#41×C13911yescharacteristic
1347C22C22×#41×C13911yescharacteristic
1348C22C22×#41×C13911yescharacteristic
1349C22C22×#41×C13911yescharacteristic
1350C22#585×C13911yescharacteristic
1351C22#585×C13911yescharacteristic
1352C22#585×C13911yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C2—24no—
1382C2—42no—
1383C2—81no—
1384C2C2×#529×C13911yescharacteristic
1385C2#3475×C13911yescharacteristic
1386C2#3475×C13911yescharacteristic
1387C2#3475×C13911yescharacteristic
1388C2#3491×C13911yescharacteristic
1389C2#3510×C13911yescharacteristic
1390C2#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. #2866×C139C2semidirect
2. #2865×C139C2semidirect
3. #2855×C139C2semidirect
4. #2596×C139C2semidirect
5. #2596×C139C2semidirect
6. #2594×C139C2semidirect
7. #2589×C139C2semidirect
8. #2577×C139C2semidirect
9. #2575×C139C2semidirect
10. #2569×C139C2semidirect
12. #2532×C139C2semidirect
13. #2532×C139C2semidirect
14. #2530×C139C2semidirect
15. #2529×C139C2semidirect
16. #2527×C139C2semidirect
17. #2493×C139C2semidirect
18. #2484×C139C2semidirect
21. #2478×C139C2semidirect
22. #2368×C139C2semidirect
23. #2344×C139C2semidirect
24. #2343×C139C2semidirect
28. C4×#126×C139C2semidirect
29. #2298×C139C2semidirect
31. C4×#117×C139C2semidirect
44. #401×C139C22semidirect
45. #400×C139C22semidirect
46. #400×C139C22semidirect
47. #400×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
54. #398×C139C22semidirect
55. #398×C139C22semidirect
56. #398×C139C22semidirect
57. #398×C139C22semidirect
68. #391×C139C22semidirect
69. #391×C139C22semidirect
70. #391×C139C22semidirect
71. #391×C139C22semidirect
72. #389×C139C22semidirect
73. #389×C139C22semidirect
74. #389×C139C22semidirect
75. #389×C139C22semidirect
107. #387×C139C22semidirect
108. #387×C139C22semidirect
109. #387×C139C22semidirect
110. #387×C139C22semidirect
111. #387×C139C22semidirect
112. #387×C139C22semidirect
113. #387×C139C22semidirect
114. #387×C139C22semidirect
115. #387×C139C22semidirect
116. #387×C139C22semidirect
117. #387×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
144. #383×C139C22semidirect
145. #383×C139C22semidirect
146. #382×C139C22semidirect
160. C4×C4⋊C4×C139C22semidirect
161. C4×C4⋊C4×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
180. #376×C139C22semidirect
181. #376×C139C22semidirect
182. #376×C139C22semidirect
185. C43×C139C22semidirect
186. C43×C139C22semidirect
695. #36344C139direct (N × H)
696. C139#36344direct (N × H)
697. #2866C2×C139semidirect
698. #2865C2×C139semidirect
699. #2855C2×C139semidirect
700. #2596C2×C139semidirect
701. #2596C2×C139semidirect
702. #2594C2×C139semidirect
703. #2589C2×C139semidirect
704. #2577C2×C139semidirect
705. #2575C2×C139semidirect
706. #2569C2×C139semidirect
708. #2532C2×C139semidirect
709. #2532C2×C139semidirect
710. #2530C2×C139semidirect
711. #2529C2×C139semidirect
712. #2527C2×C139semidirect
713. #2493C2×C139semidirect
714. #2484C2×C139semidirect
717. #2478C2×C139semidirect
718. #2368C2×C139semidirect
719. #2344C2×C139semidirect
720. #2343C2×C139semidirect
724. C4×#126C2×C139semidirect
725. #2298C2×C139semidirect
727. C4×#117C2×C139semidirect
740. #401C22×C139semidirect
741. #400C22×C139semidirect
742. #400C22×C139semidirect
743. #400C22×C139semidirect
744. #400C22×C139semidirect
745. #400C22×C139semidirect
746. #400C22×C139semidirect
747. #400C22×C139semidirect
750. #398C22×C139semidirect
751. #398C22×C139semidirect
752. #398C22×C139semidirect
753. #398C22×C139semidirect
764. #391C22×C139semidirect
765. #391C22×C139semidirect
766. #391C22×C139semidirect
767. #391C22×C139semidirect
768. #389C22×C139semidirect
769. #389C22×C139semidirect
770. #389C22×C139semidirect
771. #389C22×C139semidirect
803. #387C22×C139semidirect
804. #387C22×C139semidirect
805. #387C22×C139semidirect
806. #387C22×C139semidirect
807. #387C22×C139semidirect
808. #387C22×C139semidirect
809. #387C22×C139semidirect
810. #387C22×C139semidirect
811. #387C22×C139semidirect
812. #387C22×C139semidirect
813. #387C22×C139semidirect
814. #387C22×C139semidirect
815. #387C22×C139semidirect
816. #387C22×C139semidirect
817. #387C22×C139semidirect
818. #387C22×C139semidirect
819. #387C22×C139semidirect
820. #387C22×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
840. #383C22×C139semidirect
841. #383C22×C139semidirect
842. #382C22×C139semidirect
856. C4×C4⋊C4C22×C139semidirect
857. C4×C4⋊C4C22×C139semidirect
858. C4×C4⋊C4C22×C139semidirect
859. C4×C4⋊C4C22×C139semidirect
860. C4×C4⋊C4C22×C139semidirect
861. C4×C4⋊C4C22×C139semidirect
862. C4×C4⋊C4C22×C139semidirect
863. C4×C4⋊C4C22×C139semidirect
864. C4×C4⋊C4C22×C139semidirect
876. #376C22×C139semidirect
877. #376C22×C139semidirect
878. #376C22×C139semidirect
881. C43C22×C139semidirect
882. C43C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2866×C1392
#2865×C1392
#2855×C1392
#2596×C1392
#2594×C1392
#2589×C1392
#2577×C1392
#2575×C1392
#2569×C1392
#2561×C1392
#2532×C1392
#2530×C1392
#2529×C1392
#2527×C1392
#2493×C1392
#2484×C1392
#2482×C1392
#2480×C1392
#2478×C1392
#2368×C1392
#2344×C1392
#2343×C1392
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C4×#126×C1392
#2298×C1392
C2×#388×C1392
C4×#117×C1392
#36344139