Finite Group Databasebeta

← C139×#34486 #48029082

Subgroups — C139×#34486 #48029082

Order 35584.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#554×C139C211yesmaximal, characteristic
2#2382×C139C211yesmaximal, characteristic, complemented
3#2381×C139C211yesmaximal, characteristic, complemented
4#2378×C139C211yesmaximal, characteristic, complemented
5#2378×C139C211yesmaximal, characteristic, complemented
6#2371×C139C211yesmaximal, characteristic, complemented
7#2368×C139C211yesmaximal, characteristic, complemented
8#2368×C139C211yesmaximal, characteristic, complemented
9#2362×C139C211yesmaximal, characteristic, complemented
10#2360×C139C211yesmaximal, characteristic, complemented
11#2356×C139C211yesmaximal, characteristic, complemented
12#2353×C139C211yesmaximal, characteristic
13#2353×C139C211yesmaximal, characteristic
14#2352×C139C211yesmaximal, characteristic
15#2345×C139C211yesmaximal, characteristic, complemented
16#2344×C139C211yesmaximal, characteristic, complemented
17#2336×C139C211yesmaximal, characteristic, complemented
18#2336×C139C211yesmaximal, characteristic, complemented
19#2332×C139C211yesmaximal, characteristic, complemented
20#2332×C139C211yesmaximal, characteristic, complemented
21#2329×C139C211yesmaximal, characteristic, complemented
22#2329×C139C211yesmaximal, characteristic, complemented
23#2327×C139C211yesmaximal, characteristic, complemented
24#2323×C139C211yesmaximal, characteristic, complemented
25#2320×C139C211yesmaximal, characteristic, complemented
26#2318×C139C211yesmaximal, characteristic
27#2318×C139C211yesmaximal, characteristic
28#2313×C139C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic
31C2×#387×C139C211yesmaximal, characteristic, complemented
32#554×C139C4116yescomplemented
33C2×C4⋊Q8×C139C2211yescharacteristic
34C2×#125×C139C2211yescharacteristic
35C2×#125×C139C2211yescharacteristic
36C2×C22⋊Q8×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic
38C2×C22⋊Q8×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic
41C2×C22⋊Q8×C139C2211yescharacteristic
42C2×C4×Q8×C139C2211yescharacteristic
43C2×C4×Q8×C139C2211yescharacteristic
44C2×C4×Q8×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×#117×C139C2211yescharacteristic
49C2×#117×C139C2211yescharacteristic
50C22×C4⋊C4×C139C2211yescharacteristic
51C22×C4⋊C4×C139C2211yescharacteristic
52C22×C4⋊C4×C139C2211yescharacteristic
53C22×C42×C139C2211yescharacteristic
54#391×C139C2211yescharacteristic
55#391×C139C2211yescharacteristic
56#391×C139C2211yescharacteristic
57#391×C139C2211yescharacteristic
58#391×C139C2211yescharacteristic
59#391×C139C2211yescharacteristic
60#391×C139C2211yescharacteristic
61#391×C139C2211yescharacteristic
62#391×C139C2211yescharacteristic
63#391×C139C2211yescharacteristic
64#389×C139C2211yescharacteristic
65#389×C139C2211yescharacteristic
66#389×C139C2211yescharacteristic
67#389×C139C2211yescharacteristic
68#389×C139C2211yescharacteristic
69#389×C139C2211yescharacteristic
70#389×C139C2211yescharacteristic
71#389×C139C2211yescharacteristic
72#389×C139C2211yescharacteristic
73#389×C139C2211yescharacteristic
74#388×C139C2211yescharacteristic
75#388×C139C2211yescharacteristic
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#387×C139C2211yescharacteristic
87#387×C139C2211yescharacteristic
88#387×C139C2211yescharacteristic
89#387×C139C2211yescharacteristic
90#387×C139C2211yescharacteristic
91#387×C139C2211yescharacteristic
92#387×C139C2211yescharacteristic
93#387×C139C2211yescharacteristic
94#387×C139C2211yescharacteristic
95#387×C139C2211yescharacteristic
96#387×C139C2211yescharacteristic
97#387×C139C2211yescharacteristic
98#387×C139C2211yescharacteristic
99#387×C139C2211yescharacteristic
100#387×C139C2211yescharacteristic
101#387×C139C2211yescharacteristic
102#387×C139C2211yescharacteristic
103#387×C139C2211yescharacteristic
104#387×C139C2211yescharacteristic
105#387×C139C2211yescharacteristic
106#387×C139C2211yescharacteristic
107#387×C139C2211yescharacteristic
108#387×C139C2211yescharacteristic
109#387×C139C2211yescharacteristic
110#387×C139C2211yescharacteristic
111#387×C139C2211yescharacteristic
112#387×C139C2211yescharacteristic
113#387×C139C2211yescharacteristic
114#387×C139C2211yescharacteristic
115#387×C139C2211yescharacteristic
116#387×C139C2211yescharacteristic
117#387×C139C2211yescharacteristic
118#387×C139C2211yescharacteristic
119#387×C139C2211yescharacteristic
120#387×C139C2211yescharacteristic
121#387×C139C2211yescharacteristic
122#387×C139C2211yescharacteristic
123#387×C139C2211yescharacteristic
124#387×C139C2211yescharacteristic
125#387×C139C2211yescharacteristic
126#387×C139C2211yescharacteristic
127#387×C139C2211yescharacteristic
128#387×C139C2211yescharacteristic
129#387×C139C2211yescharacteristic
130#386×C139C2211yescharacteristic
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#385×C139C2211yescharacteristic
135#385×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#383×C139C2211yescharacteristic
141#383×C139C2211yescharacteristic
142#383×C139C2211yescharacteristic
143#383×C139C2211yescharacteristic
144#382×C139C2211yescharacteristic
145#382×C139C2211yescharacteristic
146#382×C139C2211yescharacteristic
147#381×C139C2211yescharacteristic
148#381×C139C2211yescharacteristic
149#381×C139C2211yescharacteristic
150#381×C139C2211yescharacteristic
151#380×C139C2211yescharacteristic
152#380×C139C2211yescharacteristic
153#380×C139C2211yescharacteristic
154#380×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157C4×C4⋊C4×C139C2211yescharacteristic
158C4×C4⋊C4×C139C2211yescharacteristic
159C4×C4⋊C4×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic
161C4×C4⋊C4×C139C2211yescharacteristic
162C4×C4⋊C4×C139C2211yescharacteristic
163C4×C4⋊C4×C139C2211yescharacteristic
164C4×C4⋊C4×C139C2211yescharacteristic
165C4×C4⋊C4×C139C2211yescharacteristic
166C4×C4⋊C4×C139C2211yescharacteristic
167C4×C4⋊C4×C139C2211yescharacteristic
168C4×C4⋊C4×C139C2211yescharacteristic
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
180C4×C22⋊C4×C139C2211yescharacteristic
181#376×C139C2211yescharacteristic
182#376×C139C2211yescharacteristic
183#376×C139C2211yescharacteristic
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C2×#95×C139C2211yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C4⋊Q8×C139C2×C418yescomplemented
203#125×C139C2×C418yescomplemented
204#125×C139C2×C418yescomplemented
205C22⋊Q8×C139C2×C418yes—
206C22⋊Q8×C139C2×C418yes—
207C22⋊Q8×C139C2×C418yes—
208C22⋊Q8×C139C2×C418yescomplemented
209C22⋊Q8×C139C2×C418yescomplemented
210C22⋊Q8×C139C2×C418yescomplemented
211C4×Q8×C139—42no—
212C4×Q8×C139—42no—
213C4×Q8×C139C2×C418yescomplemented
214C4×D4×C139C2×C418yes—
215C4×D4×C139C2×C418yes—
216C4×D4×C139C2×C418yes—
217#117×C139—42no—
218#117×C139—42no—
219C2×C4⋊C4×C139—42no—
220C2×C4⋊C4×C139C2×C418yes—
221C2×C4⋊C4×C139C2×C418yescomplemented
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊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×C42×C139—42no—
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
296C2×C42×C139C2311yescharacteristic
297C2×C42×C139C2311yescharacteristic
298C2×C42×C139C2311yescharacteristic
299C2×C42×C139C2311yescharacteristic
300C2×C42×C139C2311yescharacteristic
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303C2×C42×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
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C2×Q8×C139—41no—
367C2×Q8×C139—41no—
368C2×Q8×C139—41no—
369C2×Q8×C139—41no—
370C2×Q8×C139—41no—
371C2×Q8×C139—41no—
372C2×Q8×C139C22×C414yes—
373C2×Q8×C139C22×C414yes—
374C2×Q8×C139C22×C414yes—
375C2×D4×C139—22no—
376C2×D4×C139—22no—
377C2×D4×C139C22×C414yes—
378C22×C4×C139—22no—
379C22×C4×C139—22no—
380C22×C4×C139—22no—
381C22×C4×C139—22no—
382C22×C4×C139—22no—
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—41no—
393C22×C4×C139—41no—
394C22×C4×C139—41no—
395C22×C4×C139—41no—
396C22×C4×C139—41no—
397C22×C4×C139—41no—
398C22×C4×C139—41no—
399C22×C4×C139—41no—
400C22×C4×C139—41no—
401C22×C4×C139—41no—
402C22×C4×C139C22×C414yes—
403C22×C4×C139C22×C414yes—
404C22×C4×C139C22×C414yes—
405C22×C4×C139C22×C414yes—
406C22×C4×C139C22×C414yes—
407C22×C4×C139C22×C414yes—
408C22×C4×C139C2411yescharacteristic
409C22×C4×C139C2411yescharacteristic
410C22×C4×C139C2411yescharacteristic
411C22×C4×C139C2411yescharacteristic
412C22×C4×C139C2411yescharacteristic
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C22×C4×C139C2411yescharacteristic
417C22×C4×C139C2411yescharacteristic
418C22×C4×C139C2411yescharacteristic
419C22×C4×C139C2411yescharacteristic
420C22×C4×C139C2411yescharacteristic
421C22×C4×C139C2411yescharacteristic
422C22×C4×C139C2411yescharacteristic
423C22×C4×C139C2411yescharacteristic
424C22×C4×C139C2411yescharacteristic
425C22×C4×C139C2411yescharacteristic
426C22×C4×C139C2411yescharacteristic
427C22×C4×C139C2411yescharacteristic
428C22×C4×C139C2411yescharacteristic
429C22×C4×C139C2411yescharacteristic
430C22×C4×C139C2411yescharacteristic
431C22×C4×C139C2411yescharacteristic
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C4⋊C4×C139—22no—
438C4⋊C4×C139—22no—
439C4⋊C4×C139—22no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139—41no—
447C4⋊C4×C139—41no—
448C4⋊C4×C139—41no—
449C4⋊C4×C139—41no—
450C4⋊C4×C139—41no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139C22×C414yes—
460C4⋊C4×C139C22×C414yes—
461C4⋊C4×C139C22×C414yes—
462C4⋊C4×C139C22×C414yes—
463C4⋊C4×C139C22×C414yes—
464C4⋊C4×C139C22×C414yes—
465C4⋊C4×C139C22×C414yes—
466C4⋊C4×C139C22×C414yes—
467C4⋊C4×C139C22×C414yes—
468C4⋊C4×C139C22×C414yes—
469C4⋊C4×C139C22×C414yes—
470C4⋊C4×C139C22×C414yes—
471C4⋊C4×C139C22×C414yes—
472C4⋊C4×C139C22×C414yes—
473C4⋊C4×C139C22×C414yes—
474C4⋊C4×C139C22×C414yes—
475C22⋊C4×C139—22no—
476C22⋊C4×C139—22no—
477C22⋊C4×C139—22no—
478C22⋊C4×C139—22no—
479C22⋊C4×C139—22no—
480C22⋊C4×C139—41no—
481C22⋊C4×C139—41no—
482C22⋊C4×C139—41no—
483C22⋊C4×C139—41no—
484C22⋊C4×C139—41no—
485C22⋊C4×C139—41no—
486C22⋊C4×C139—41no—
487C22⋊C4×C139C22×C414yes—
488C22⋊C4×C139C22×C414yes—
489C22⋊C4×C139C22×C414yes—
490C22⋊C4×C139C22×C414yes—
491C22⋊C4×C139C22×C414yes—
492C22⋊C4×C139C22×C414yes—
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—
506C42×C139—41no—
507C42×C139—41no—
508C42×C139—41no—
509C42×C139—41no—
510C42×C139—41no—
511C42×C139—41no—
512C42×C139—41no—
513C42×C139—41no—
514C42×C139—41no—
515C42×C139C22×C414yes—
516C42×C139C22×C414yes—
517C42×C139C22×C414yes—
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×C139C23×C412yes—
529C23×C139C23×C412yes—
530C23×C1392−1+412yes—
531C23×C1392−1+412yes—
532C23×C139C2511yescharacteristic
533Q8×C139—44no—
534Q8×C139—44no—
535Q8×C139—44no—
536D4×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—44no—
611C2×C4×C139—44no—
612C2×C4×C139—44no—
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×C139C23×C412yes—
621C2×C4×C139C23×C412yes—
622C2×C4×C139C23×C412yes—
623C2×C4×C139C23×C412yes—
624C2×C4×C139C23×C412yes—
625C2×C4×C139C23×C412yes—
626C2×C4×C139C23×C412yes—
627C2×C4×C139C23×C412yes—
628C2×C4×C139C23×C412yes—
629C2×C4×C139C23×C412yes—
630C2×C4×C139C23×C412yes—
631C2×C4×C139C23×C412yes—
632C2×C4×C139C23×C412yes—
633C2×C4×C139H(5,𝔽2)12yes—
634C22×C139—22no—
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—41no—
644C22×C139—41no—
645C22×C139—41no—
646C22×C139—41no—
647C22×C139#51914yes—
648C22×C139C24×C411yescharacteristic
649C22×C139C2×H(5,𝔽2)11yescharacteristic
650C22×C139C2×2−1+411yescharacteristic
651C22×C139C2×2−1+411yescharacteristic
652C22×C139#58511yescharacteristic
653C22×C139#58511yescharacteristic
654C22×C139#58511yescharacteristic
655C4×C139—22no—
656C4×C139—22no—
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—22no—
666C4×C139—22no—
667C4×C139—22no—
668C4×C139—22no—
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—
684C2×C139—24no—
685C2×C139—42no—
686C2×C139C2×#51911yescharacteristic
687C2×C139#342811yescharacteristic
688C2×C139C4×H(5,𝔽2)11yescharacteristic
689C2×C139#353511yescharacteristic
690C2×C139#354111yescharacteristic
691C2×C139#355311yescharacteristic
692C2×C139#356411yescharacteristic
693#34486C13911yesmaximal, characteristic, direct product factor, Sylow
694C139#3448611yescharacteristic, direct product factor, Sylow
695C2×#554C2×C13911yescharacteristic
696#2382C2×C13911yescharacteristic, complemented
697#2381C2×C13911yescharacteristic, complemented
698#2378C2×C13911yescharacteristic, complemented
699#2378C2×C13911yescharacteristic, complemented
700#2371C2×C13911yescharacteristic, complemented
701#2368C2×C13911yescharacteristic, complemented
702#2368C2×C13911yescharacteristic, complemented
703#2362C2×C13911yescharacteristic, complemented
704#2360C2×C13911yescharacteristic, complemented
705#2356C2×C13911yescharacteristic, complemented
706#2353C2×C13911yescharacteristic
707#2353C2×C13911yescharacteristic
708#2352C2×C13911yescharacteristic
709#2345C2×C13911yescharacteristic, complemented
710#2344C2×C13911yescharacteristic, complemented
711#2336C2×C13911yescharacteristic, complemented
712#2336C2×C13911yescharacteristic, complemented
713#2332C2×C13911yescharacteristic, complemented
714#2332C2×C13911yescharacteristic, complemented
715#2329C2×C13911yescharacteristic, complemented
716#2329C2×C13911yescharacteristic, complemented
717#2327C2×C13911yescharacteristic, complemented
718#2323C2×C13911yescharacteristic, complemented
719#2320C2×C13911yescharacteristic, complemented
720#2318C2×C13911yescharacteristic
721#2318C2×C13911yescharacteristic
722#2313C2×C13911yescharacteristic, complemented
723C4×C22⋊Q8C2×C13911yescharacteristic, complemented
724#2290C2×C13911yescharacteristic
725C2×#387C2×C13911yescharacteristic, complemented
726#554C4×C139116yescomplemented
727C2×C4⋊Q8C22×C13911yescharacteristic
728C2×#125C22×C13911yescharacteristic
729C2×#125C22×C13911yescharacteristic
730C2×C22⋊Q8C22×C13911yescharacteristic
731C2×C22⋊Q8C22×C13911yescharacteristic
732C2×C22⋊Q8C22×C13911yescharacteristic
733C2×C22⋊Q8C22×C13911yescharacteristic
734C2×C22⋊Q8C22×C13911yescharacteristic
735C2×C22⋊Q8C22×C13911yescharacteristic
736C2×C4×Q8C22×C13911yescharacteristic
737C2×C4×Q8C22×C13911yescharacteristic
738C2×C4×Q8C22×C13911yescharacteristic
739C2×C4×D4C22×C13911yescharacteristic
740C2×C4×D4C22×C13911yescharacteristic
741C2×C4×D4C22×C13911yescharacteristic
742C2×#117C22×C13911yescharacteristic
743C2×#117C22×C13911yescharacteristic
744C22×C4⋊C4C22×C13911yescharacteristic
745C22×C4⋊C4C22×C13911yescharacteristic
746C22×C4⋊C4C22×C13911yescharacteristic
747C22×C42C22×C13911yescharacteristic
748#391C22×C13911yescharacteristic
749#391C22×C13911yescharacteristic
750#391C22×C13911yescharacteristic
751#391C22×C13911yescharacteristic
752#391C22×C13911yescharacteristic
753#391C22×C13911yescharacteristic
754#391C22×C13911yescharacteristic
755#391C22×C13911yescharacteristic
756#391C22×C13911yescharacteristic
757#391C22×C13911yescharacteristic
758#389C22×C13911yescharacteristic
759#389C22×C13911yescharacteristic
760#389C22×C13911yescharacteristic
761#389C22×C13911yescharacteristic
762#389C22×C13911yescharacteristic
763#389C22×C13911yescharacteristic
764#389C22×C13911yescharacteristic
765#389C22×C13911yescharacteristic
766#389C22×C13911yescharacteristic
767#389C22×C13911yescharacteristic
768#388C22×C13911yescharacteristic
769#388C22×C13911yescharacteristic
770#388C22×C13911yescharacteristic
771#388C22×C13911yescharacteristic
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#387C22×C13911yescharacteristic
781#387C22×C13911yescharacteristic
782#387C22×C13911yescharacteristic
783#387C22×C13911yescharacteristic
784#387C22×C13911yescharacteristic
785#387C22×C13911yescharacteristic
786#387C22×C13911yescharacteristic
787#387C22×C13911yescharacteristic
788#387C22×C13911yescharacteristic
789#387C22×C13911yescharacteristic
790#387C22×C13911yescharacteristic
791#387C22×C13911yescharacteristic
792#387C22×C13911yescharacteristic
793#387C22×C13911yescharacteristic
794#387C22×C13911yescharacteristic
795#387C22×C13911yescharacteristic
796#387C22×C13911yescharacteristic
797#387C22×C13911yescharacteristic
798#387C22×C13911yescharacteristic
799#387C22×C13911yescharacteristic
800#387C22×C13911yescharacteristic
801#387C22×C13911yescharacteristic
802#387C22×C13911yescharacteristic
803#387C22×C13911yescharacteristic
804#387C22×C13911yescharacteristic
805#387C22×C13911yescharacteristic
806#387C22×C13911yescharacteristic
807#387C22×C13911yescharacteristic
808#387C22×C13911yescharacteristic
809#387C22×C13911yescharacteristic
810#387C22×C13911yescharacteristic
811#387C22×C13911yescharacteristic
812#387C22×C13911yescharacteristic
813#387C22×C13911yescharacteristic
814#387C22×C13911yescharacteristic
815#387C22×C13911yescharacteristic
816#387C22×C13911yescharacteristic
817#387C22×C13911yescharacteristic
818#387C22×C13911yescharacteristic
819#387C22×C13911yescharacteristic
820#387C22×C13911yescharacteristic
821#387C22×C13911yescharacteristic
822#387C22×C13911yescharacteristic
823#387C22×C13911yescharacteristic
824#386C22×C13911yescharacteristic
825#386C22×C13911yescharacteristic
826#386C22×C13911yescharacteristic
827#386C22×C13911yescharacteristic
828#385C22×C13911yescharacteristic
829#385C22×C13911yescharacteristic
830#385C22×C13911yescharacteristic
831#385C22×C13911yescharacteristic
832#385C22×C13911yescharacteristic
833#385C22×C13911yescharacteristic
834#383C22×C13911yescharacteristic
835#383C22×C13911yescharacteristic
836#383C22×C13911yescharacteristic
837#383C22×C13911yescharacteristic
838#382C22×C13911yescharacteristic
839#382C22×C13911yescharacteristic
840#382C22×C13911yescharacteristic
841#381C22×C13911yescharacteristic
842#381C22×C13911yescharacteristic
843#381C22×C13911yescharacteristic
844#381C22×C13911yescharacteristic
845#380C22×C13911yescharacteristic
846#380C22×C13911yescharacteristic
847#380C22×C13911yescharacteristic
848#380C22×C13911yescharacteristic
849#380C22×C13911yescharacteristic
850#380C22×C13911yescharacteristic
851C4×C4⋊C4C22×C13911yescharacteristic
852C4×C4⋊C4C22×C13911yescharacteristic
853C4×C4⋊C4C22×C13911yescharacteristic
854C4×C4⋊C4C22×C13911yescharacteristic
855C4×C4⋊C4C22×C13911yescharacteristic
856C4×C4⋊C4C22×C13911yescharacteristic
857C4×C4⋊C4C22×C13911yescharacteristic
858C4×C4⋊C4C22×C13911yescharacteristic
859C4×C4⋊C4C22×C13911yescharacteristic
860C4×C4⋊C4C22×C13911yescharacteristic
861C4×C4⋊C4C22×C13911yescharacteristic
862C4×C4⋊C4C22×C13911yescharacteristic
863C4×C22⋊C4C22×C13911yescharacteristic
864C4×C22⋊C4C22×C13911yescharacteristic
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
875#376C22×C13911yescharacteristic
876#376C22×C13911yescharacteristic
877#376C22×C13911yescharacteristic
878C2×#95C22×C13911yescharacteristic
879C2×#95C22×C13911yescharacteristic
880C2×#95C22×C13911yescharacteristic
881C2×#95C22×C13911yescharacteristic
882C22×Q8C23×C13911yescharacteristic
883C22×Q8C23×C13911yescharacteristic
884C22×Q8C23×C13911yescharacteristic
885C22×D4C23×C13911yescharacteristic
886C23×C4C23×C13911yescharacteristic
887C23×C4C23×C13911yescharacteristic
888C23×C4C23×C13911yescharacteristic
889C23×C4C23×C13911yescharacteristic
890C23×C4C23×C13911yescharacteristic
891C23×C4C23×C13911yescharacteristic
892C23×C4C23×C13911yescharacteristic
893C23×C4C23×C13911yescharacteristic
894C23×C4C23×C13911yescharacteristic
895C23×C4C23×C13911yescharacteristic
896C4⋊Q8C2×C4×C13918yescomplemented
897#125C2×C4×C13918yescomplemented
898#125C2×C4×C13918yescomplemented
899C22⋊Q8C2×C4×C13918yes—
900C22⋊Q8C2×C4×C13918yes—
901C22⋊Q8C2×C4×C13918yes—
902C22⋊Q8C2×C4×C13918yescomplemented
903C22⋊Q8C2×C4×C13918yescomplemented
904C22⋊Q8C2×C4×C13918yescomplemented
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8C2×C4×C13918yescomplemented
908C4×D4C2×C4×C13918yes—
909C4×D4C2×C4×C13918yes—
910C4×D4C2×C4×C13918yes—
911#117—42no—
912#117—42no—
913C2×C4⋊C4—42no—
914C2×C4⋊C4C2×C4×C13918yes—
915C2×C4⋊C4C2×C4×C13918yescomplemented
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×C4⋊C4C23×C13911yescharacteristic
951C2×C4⋊C4C23×C13911yescharacteristic
952C2×C4⋊C4C23×C13911yescharacteristic
953C2×C4⋊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×C22⋊C4C23×C13911yescharacteristic
970C2×C22⋊C4C23×C13911yescharacteristic
971C2×C22⋊C4C23×C13911yescharacteristic
972C2×C42—42no—
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
992C2×C42C23×C13911yescharacteristic
993C2×C42C23×C13911yescharacteristic
994C2×C42C23×C13911yescharacteristic
995C2×C42C23×C13911yescharacteristic
996C2×C42C23×C13911yescharacteristic
997C2×C42C23×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
1050#95C23×C13911yescharacteristic
1051#95C23×C13911yescharacteristic
1052#95C23×C13911yescharacteristic
1053#95C23×C13911yescharacteristic
1054#95C23×C13911yescharacteristic
1055#95C23×C13911yescharacteristic
1056#95C23×C13911yescharacteristic
1057#95C23×C13911yescharacteristic
1058C24C24×C13911yescharacteristic
1059C24C24×C13911yescharacteristic
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8C22×C4×C13914yes—
1067C2×Q8C22×C4×C13914yes—
1068C2×Q8C22×C4×C13914yes—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4C22×C4×C13914yes—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
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—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—41no—
1096C22×C4C22×C4×C13914yes—
1097C22×C4C22×C4×C13914yes—
1098C22×C4C22×C4×C13914yes—
1099C22×C4C22×C4×C13914yes—
1100C22×C4C22×C4×C13914yes—
1101C22×C4C22×C4×C13914yes—
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
1125C22×C4C24×C13911yescharacteristic
1126C22×C4C24×C13911yescharacteristic
1127C22×C4C24×C13911yescharacteristic
1128C22×C4C24×C13911yescharacteristic
1129C22×C4C24×C13911yescharacteristic
1130C22×C4C24×C13911yescharacteristic
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
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—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4C22×C4×C13914yes—
1154C4⋊C4C22×C4×C13914yes—
1155C4⋊C4C22×C4×C13914yes—
1156C4⋊C4C22×C4×C13914yes—
1157C4⋊C4C22×C4×C13914yes—
1158C4⋊C4C22×C4×C13914yes—
1159C4⋊C4C22×C4×C13914yes—
1160C4⋊C4C22×C4×C13914yes—
1161C4⋊C4C22×C4×C13914yes—
1162C4⋊C4C22×C4×C13914yes—
1163C4⋊C4C22×C4×C13914yes—
1164C4⋊C4C22×C4×C13914yes—
1165C4⋊C4C22×C4×C13914yes—
1166C4⋊C4C22×C4×C13914yes—
1167C4⋊C4C22×C4×C13914yes—
1168C4⋊C4C22×C4×C13914yes—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4C22×C4×C13914yes—
1182C22⋊C4C22×C4×C13914yes—
1183C22⋊C4C22×C4×C13914yes—
1184C22⋊C4C22×C4×C13914yes—
1185C22⋊C4C22×C4×C13914yes—
1186C22⋊C4C22×C4×C13914yes—
1187C42—22no—
1188C42—22no—
1189C42—22no—
1190C42—22no—
1191C42—41no—
1192C42—41no—
1193C42—41no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—41no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42C22×C4×C13914yes—
1210C42C22×C4×C13914yes—
1211C42C22×C4×C13914yes—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23C23×C4×C13912yes—
1223C23C23×C4×C13912yes—
1224C232−1+4×C13912yes—
1225C232−1+4×C13912yes—
1226C23C25×C13911yescharacteristic
1227Q8—44no—
1228Q8—44no—
1229Q8—44no—
1230D4—28no—
1231C2×C4—21no—
1232C2×C4—21no—
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—44no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—44no—
1308C2×C4—44no—
1309C2×C4—44no—
1310C2×C4—44no—
1311C2×C4—44no—
1312C2×C4—82no—
1313C2×C4—82no—
1314C2×C4C23×C4×C13912yes—
1315C2×C4C23×C4×C13912yes—
1316C2×C4C23×C4×C13912yes—
1317C2×C4C23×C4×C13912yes—
1318C2×C4C23×C4×C13912yes—
1319C2×C4C23×C4×C13912yes—
1320C2×C4C23×C4×C13912yes—
1321C2×C4C23×C4×C13912yes—
1322C2×C4C23×C4×C13912yes—
1323C2×C4C23×C4×C13912yes—
1324C2×C4C23×C4×C13912yes—
1325C2×C4C23×C4×C13912yes—
1326C2×C4C23×C4×C13912yes—
1327C2×C4H(5,𝔽2)×C13912yes—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22#519×C13914yes—
1342C22C24×C4×C13911yescharacteristic
1343C22C2×H(5,𝔽2)×C13911yescharacteristic
1344C22C2×2−1+4×C13911yescharacteristic
1345C22C2×2−1+4×C13911yescharacteristic
1346C22#585×C13911yescharacteristic
1347C22#585×C13911yescharacteristic
1348C22#585×C13911yescharacteristic
1349C4—22no—
1350C4—22no—
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
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—
1378C2—24no—
1379C2—42no—
1380C2C2×#519×C13911yescharacteristic
1381C2#3428×C13911yescharacteristic
1382C2C4×H(5,𝔽2)×C13911yescharacteristic
1383C2#3535×C13911yescharacteristic
1384C2#3541×C13911yescharacteristic
1385C2#3553×C13911yescharacteristic
1386C2#3564×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC22×D4×C139C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2382×C139C2semidirect
3. #2381×C139C2semidirect
4. #2378×C139C2semidirect
5. #2378×C139C2semidirect
6. #2371×C139C2semidirect
7. #2368×C139C2semidirect
8. #2368×C139C2semidirect
9. #2362×C139C2semidirect
10. #2360×C139C2semidirect
11. #2356×C139C2semidirect
15. #2345×C139C2semidirect
16. #2344×C139C2semidirect
17. #2336×C139C2semidirect
18. #2336×C139C2semidirect
19. #2332×C139C2semidirect
20. #2332×C139C2semidirect
21. #2329×C139C2semidirect
22. #2329×C139C2semidirect
23. #2327×C139C2semidirect
24. #2323×C139C2semidirect
25. #2320×C139C2semidirect
28. #2313×C139C2semidirect
29. C4×C22⋊Q8×C139C2semidirect
31. C2×#387×C139C2semidirect
32. #554×C139C4semidirect
202. C4⋊Q8×C139C2×C4semidirect
203. #125×C139C2×C4semidirect
204. #125×C139C2×C4semidirect
208. C22⋊Q8×C139C2×C4semidirect
209. C22⋊Q8×C139C2×C4semidirect
210. C22⋊Q8×C139C2×C4semidirect
213. C4×Q8×C139C2×C4semidirect
221. C2×C4⋊C4×C139C2×C4semidirect
693. #34486C139direct (N × H)
694. C139#34486direct (N × H)
696. #2382C2×C139semidirect
697. #2381C2×C139semidirect
698. #2378C2×C139semidirect
699. #2378C2×C139semidirect
700. #2371C2×C139semidirect
701. #2368C2×C139semidirect
702. #2368C2×C139semidirect
703. #2362C2×C139semidirect
704. #2360C2×C139semidirect
705. #2356C2×C139semidirect
709. #2345C2×C139semidirect
710. #2344C2×C139semidirect
711. #2336C2×C139semidirect
712. #2336C2×C139semidirect
713. #2332C2×C139semidirect
714. #2332C2×C139semidirect
715. #2329C2×C139semidirect
716. #2329C2×C139semidirect
717. #2327C2×C139semidirect
718. #2323C2×C139semidirect
719. #2320C2×C139semidirect
722. #2313C2×C139semidirect
723. C4×C22⋊Q8C2×C139semidirect
725. C2×#387C2×C139semidirect
726. #554C4×C139semidirect
896. C4⋊Q8C2×C4×C139semidirect
897. #125C2×C4×C139semidirect
898. #125C2×C4×C139semidirect
902. C22⋊Q8C2×C4×C139semidirect
903. C22⋊Q8C2×C4×C139semidirect
904. C22⋊Q8C2×C4×C139semidirect
907. C4×Q8C2×C4×C139semidirect
915. C2×C4⋊C4C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#554×C1392
#2382×C1392
#2381×C1392
#2378×C1392
#2371×C1392
#2368×C1392
#2362×C1392
#2360×C1392
#2356×C1392
#2353×C1392
#2352×C1392
#2345×C1392
#2344×C1392
#2336×C1392
#2332×C1392
#2329×C1392
#2327×C1392
#2323×C1392
#2320×C1392
#2318×C1392
#2313×C1392
C4×C22⋊Q8×C1392
#2290×C1392
C2×#387×C1392
#34486139