Finite Group Databasebeta

← C139×#34442 #48029038

Subgroups — C139×#34442 #48029038

Order 35584.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C139C211yesmaximal, characteristic
2#2380×C139C211yesmaximal, characteristic, complemented
3#2377×C139C211yesmaximal, characteristic, complemented
4#2377×C139C211yesmaximal, characteristic, complemented
5#2376×C139C211yesmaximal, characteristic, complemented
6#2374×C139C211yesmaximal, characteristic, complemented
7#2366×C139C211yesmaximal, characteristic, complemented
8#2364×C139C211yesmaximal, characteristic, complemented
9#2364×C139C211yesmaximal, characteristic, complemented
10#2363×C139C211yesmaximal, characteristic, complemented
11#2361×C139C211yesmaximal, characteristic, complemented
12#2359×C139C211yesmaximal, characteristic, complemented
13#2359×C139C211yesmaximal, characteristic, complemented
14#2353×C139C211yesmaximal, characteristic, complemented
15#2352×C139C211yesmaximal, characteristic, complemented
16#2347×C139C211yesmaximal, characteristic, complemented
17#2343×C139C211yesmaximal, characteristic, complemented
18#2336×C139C211yesmaximal, characteristic, complemented
19#2336×C139C211yesmaximal, characteristic, complemented
20#2335×C139C211yesmaximal, characteristic, complemented
21#2335×C139C211yesmaximal, characteristic, complemented
22#2333×C139C211yesmaximal, characteristic, complemented
23#2333×C139C211yesmaximal, characteristic, complemented
24#2325×C139C211yesmaximal, characteristic, complemented
25#2325×C139C211yesmaximal, characteristic, complemented
26#2324×C139C211yesmaximal, characteristic, complemented
27#2322×C139C211yesmaximal, characteristic, complemented
28#2318×C139C211yesmaximal, characteristic, complemented
29C4×#123×C139C211yesmaximal, characteristic, complemented
30C4×#121×C139C211yesmaximal, characteristic, complemented
31#2290×C139C211yesmaximal, characteristic, complemented
32#540×C139C4116yescomplemented
33C2×#127×C139C2211yescharacteristic
34C2×#125×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×#121×C139C2211yescharacteristic
40C2×#121×C139C2211yescharacteristic
41C2×#121×C139C2211yescharacteristic
42C2×#121×C139C2211yescharacteristic
43C2×#121×C139C2211yescharacteristic
44C2×#121×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic
50C2×C4×D4×C139C2211yescharacteristic
51C2×C4×D4×C139C2211yescharacteristic
52C2×C4×D4×C139C2211yescharacteristic
53C2×C4×D4×C139C2211yescharacteristic
54C2×C4×D4×C139C2211yescharacteristic
55C2×#117×C139C2211yescharacteristic
56C2×#117×C139C2211yescharacteristic
57C2×#117×C139C2211yescharacteristic
58C22×C4⋊C4×C139C2211yescharacteristic
59C22×C42×C139C2211yescharacteristic
60#390×C139C2211yescharacteristic
61#390×C139C2211yescharacteristic
62#390×C139C2211yescharacteristic
63#390×C139C2211yescharacteristic
64#390×C139C2211yescharacteristic
65#390×C139C2211yescharacteristic
66#390×C139C2211yescharacteristic
67#390×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#388×C139C2211yescharacteristic
87#388×C139C2211yescharacteristic
88#388×C139C2211yescharacteristic
89#388×C139C2211yescharacteristic
90#388×C139C2211yescharacteristic
91#388×C139C2211yescharacteristic
92#388×C139C2211yescharacteristic
93#388×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#386×C139C2211yescharacteristic
115#386×C139C2211yescharacteristic
116#386×C139C2211yescharacteristic
117#386×C139C2211yescharacteristic
118#386×C139C2211yescharacteristic
119#386×C139C2211yescharacteristic
120#386×C139C2211yescharacteristic
121#386×C139C2211yescharacteristic
122#386×C139C2211yescharacteristic
123#386×C139C2211yescharacteristic
124#386×C139C2211yescharacteristic
125#386×C139C2211yescharacteristic
126#386×C139C2211yescharacteristic
127#386×C139C2211yescharacteristic
128#386×C139C2211yescharacteristic
129#386×C139C2211yescharacteristic
130#386×C139C2211yescharacteristic
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#385×C139C2211yescharacteristic
146#385×C139C2211yescharacteristic
147#385×C139C2211yescharacteristic
148#383×C139C2211yescharacteristic
149#383×C139C2211yescharacteristic
150#383×C139C2211yescharacteristic
151#382×C139C2211yescharacteristic
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic
154#381×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#380×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
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184#376×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C2×#95×C139C2211yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211C23×C4×C139C2311yescharacteristic
212C23×C4×C139C2311yescharacteristic
213#127×C139C2×C418yescomplemented
214#125×C139C2×C418yescomplemented
215#123×C139C2×C418yescomplemented
216#123×C139C2×C418yescomplemented
217#123×C139C2×C418yescomplemented
218#123×C139C2×C418yescomplemented
219#121×C139C2×C418yescomplemented
220#121×C139C2×C418yescomplemented
221#121×C139C2×C418yescomplemented
222#121×C139C2×C418yescomplemented
223#121×C139C2×C418yescomplemented
224#121×C139C2×C418yescomplemented
225C4×D4×C139—42no—
226C4×D4×C139—42no—
227C4×D4×C139—42no—
228C4×D4×C139—42no—
229C4×D4×C139—42no—
230C4×D4×C139—42no—
231C4×D4×C139—42no—
232C4×D4×C139—42no—
233C4×D4×C139C2×C418yescomplemented
234C4×D4×C139C2×C418yescomplemented
235#117×C139—42no—
236#117×C139—42no—
237#117×C139C2×C418yescomplemented
238C2×C4⋊C4×C139—42no—
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×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C4⋊C4×C139C2311yescharacteristic
263C2×C4⋊C4×C139C2311yescharacteristic
264C2×C4⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C42×C139—42no—
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323C2×C42×C139C2311yescharacteristic
324C2×C42×C139C2311yescharacteristic
325C2×C42×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
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369#95×C139C2311yescharacteristic
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C24×C139C2411yescharacteristic
375C2×D4×C139—41no—
376C2×D4×C139—41no—
377C2×D4×C139—41no—
378C2×D4×C139—41no—
379C2×D4×C139—41no—
380C2×D4×C139—41no—
381C2×D4×C139—41no—
382C2×D4×C139—41no—
383C2×D4×C139—41no—
384C2×D4×C139—41no—
385C2×D4×C139—41no—
386C2×D4×C139—41no—
387C2×D4×C139—41no—
388C2×D4×C139—41no—
389C2×D4×C139—41no—
390C2×D4×C139—41no—
391C2×D4×C139—41no—
392C2×D4×C139—41no—
393C2×D4×C139—41no—
394C2×D4×C139—41no—
395C2×D4×C139C22×C414yes—
396C2×D4×C139C22×C414yes—
397C2×D4×C139C22×C414yes—
398C2×D4×C139C22×C414yes—
399C2×D4×C139C22×C414yes—
400C2×D4×C139C22×C414yes—
401C2×D4×C139C22×C414yes—
402C2×D4×C139C22×C414yes—
403C2×D4×C139C22×C414yes—
404C2×D4×C139C22×C414yes—
405C22×C4×C139—22no—
406C22×C4×C139—22no—
407C22×C4×C139—22no—
408C22×C4×C139—22no—
409C22×C4×C139—22no—
410C22×C4×C139—41no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—41no—
428C22×C4×C139—41no—
429C22×C4×C139—41no—
430C22×C4×C139—41no—
431C22×C4×C139—41no—
432C22×C4×C139—41no—
433C22×C4×C139—41no—
434C22×C4×C139—41no—
435C22×C4×C139—41no—
436C22×C4×C139—41no—
437C22×C4×C139—41no—
438C22×C4×C139—41no—
439C22×C4×C139—41no—
440C22×C4×C139—41no—
441C22×C4×C139—41no—
442C22×C4×C139—41no—
443C22×C4×C139—41no—
444C22×C4×C139—41no—
445C22×C4×C139C22×C414yes—
446C22×C4×C139C22×C414yes—
447C22×C4×C139C22×C414yes—
448C22×C4×C139C22×C414yes—
449C22×C4×C139C22×C414yes—
450C22×C4×C139C2411yescharacteristic
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C22×C4×C139C2411yescharacteristic
459C22×C4×C139C2411yescharacteristic
460C22×C4×C139C2411yescharacteristic
461C22×C4×C139C2411yescharacteristic
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C22×C4×C139C2411yescharacteristic
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
467C22×C4×C139C2411yescharacteristic
468C22×C4×C139C2411yescharacteristic
469C22×C4×C139C2411yescharacteristic
470C22×C4×C139C2411yescharacteristic
471C22×C4×C139C2411yescharacteristic
472C22×C4×C139C2411yescharacteristic
473C22×C4×C139C2411yescharacteristic
474C22×C4×C139C2411yescharacteristic
475C22×C4×C139C2411yescharacteristic
476C4⋊C4×C139—22no—
477C4⋊C4×C139—22no—
478C4⋊C4×C139—22no—
479C4⋊C4×C139—22no—
480C4⋊C4×C139—22no—
481C4⋊C4×C139—41no—
482C4⋊C4×C139—41no—
483C4⋊C4×C139—41no—
484C4⋊C4×C139—41no—
485C4⋊C4×C139—41no—
486C4⋊C4×C139—41no—
487C4⋊C4×C139—41no—
488C4⋊C4×C139—41no—
489C4⋊C4×C139—41no—
490C4⋊C4×C139—41no—
491C4⋊C4×C139—41no—
492C4⋊C4×C139—41no—
493C4⋊C4×C139—41no—
494C4⋊C4×C139C22×C414yes—
495C4⋊C4×C139C22×C414yes—
496C4⋊C4×C139C22×C414yes—
497C4⋊C4×C139C22×C414yes—
498C4⋊C4×C139C22×C414yes—
499C4⋊C4×C139C22×C414yes—
500C4⋊C4×C139C22×C414yes—
501C4⋊C4×C139C22×C414yes—
502C22⋊C4×C139—22no—
503C22⋊C4×C139—22no—
504C22⋊C4×C139—22no—
505C22⋊C4×C139—22no—
506C22⋊C4×C139—22no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139—41no—
518C22⋊C4×C139—41no—
519C22⋊C4×C139—41no—
520C22⋊C4×C139—41no—
521C22⋊C4×C139—41no—
522C22⋊C4×C139—41no—
523C22⋊C4×C139—41no—
524C22⋊C4×C139—41no—
525C22⋊C4×C139—41no—
526C22⋊C4×C139—41no—
527C22⋊C4×C139—41no—
528C22⋊C4×C139—41no—
529C22⋊C4×C139—41no—
530C22⋊C4×C139—41no—
531C22⋊C4×C139—41no—
532C22⋊C4×C139C22×C414yes—
533C22⋊C4×C139C22×C414yes—
534C22⋊C4×C139C22×C414yes—
535C22⋊C4×C139C22×C414yes—
536C22⋊C4×C139C22×C414yes—
537C22⋊C4×C139C22×C414yes—
538C22⋊C4×C139C22×C414yes—
539C22⋊C4×C139C22×C414yes—
540C22⋊C4×C139C22×C414yes—
541C22⋊C4×C139C22×C414yes—
542C42×C139—22no—
543C42×C139—22no—
544C42×C139—22no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139—41no—
548C42×C139—41no—
549C42×C139—41no—
550C42×C139—41no—
551C42×C139—41no—
552C42×C139—41no—
553C42×C139—41no—
554C42×C139—41no—
555C42×C139—41no—
556C42×C139—41no—
557C42×C139—41no—
558C42×C139—41no—
559C42×C139—41no—
560C42×C139C22×C414yes—
561C42×C139C22×C414yes—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—21no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—21no—
592C23×C139C23×C412yes—
593C23×C139C23×C412yes—
594C23×C139C23×C412yes—
595C23×C139C23×C412yes—
596C23×C139C23×C412yes—
597C23×C139C2511yescharacteristic
598D4×C139—44no—
599D4×C139—44no—
600D4×C139—44no—
601D4×C139—44no—
602D4×C139—44no—
603D4×C139—44no—
604D4×C139—44no—
605D4×C139—44no—
606D4×C139—44no—
607D4×C139—44no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—21no—
663C2×C4×C139—21no—
664C2×C4×C139—21no—
665C2×C4×C139—21no—
666C2×C4×C139—21no—
667C2×C4×C139—21no—
668C2×C4×C139—21no—
669C2×C4×C139—21no—
670C2×C4×C139—21no—
671C2×C4×C139—21no—
672C2×C4×C139—21no—
673C2×C4×C139—21no—
674C2×C4×C139—44no—
675C2×C4×C139—44no—
676C2×C4×C139—44no—
677C2×C4×C139—44no—
678C2×C4×C139—44no—
679C2×C4×C139—44no—
680C2×C4×C139—44no—
681C2×C4×C139—82no—
682C2×C4×C139—82no—
683C2×C4×C139—82no—
684C2×C4×C139—82no—
685C2×C4×C139—82no—
686C2×C4×C139—82no—
687C2×C4×C139—82no—
688C2×C4×C139—82no—
689C2×C4×C139C23×C412yes—
690C2×C4×C139C23×C412yes—
691C2×C4×C139C23×C412yes—
692C2×C4×C139C23×C412yes—
693C2×C4×C139C23×C412yes—
694C2×C4×C139C23×C412yes—
695C2×C4×C139C23×C412yes—
696C2×C4×C139C23×C412yes—
697C2×C4×C139C23×C412yes—
698C2×C4×C139C23×C412yes—
699C2×C4×C139H(5,𝔽2)12yes—
700C2×C4×C139H(5,𝔽2)12yes—
701C22×C139—22no—
702C22×C139—22no—
703C22×C139—22no—
704C22×C139—22no—
705C22×C139—22no—
706C22×C139—22no—
707C22×C139—22no—
708C22×C139—22no—
709C22×C139—22no—
710C22×C139—22no—
711C22×C139—22no—
712C22×C139—22no—
713C22×C139—22no—
714C22×C139—22no—
715C22×C139—22no—
716C22×C139—41no—
717C22×C139—41no—
718C22×C139—41no—
719C22×C139—41no—
720C22×C139—41no—
721C22×C139—41no—
722C22×C139—41no—
723C22×C139—41no—
724C22×C139—41no—
725C22×C139—41no—
726C22×C139—41no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139—41no—
731C22×C139—41no—
732C22×C139—41no—
733C22×C139—41no—
734C22×C139—41no—
735C22×C139—41no—
736C22×C139C24×C411yescharacteristic
737C22×C139C2×H(5,𝔽2)11yescharacteristic
738C22×C139C2×H(5,𝔽2)11yescharacteristic
739C22×C139#58511yescharacteristic
740C22×C139#58511yescharacteristic
741C22×C139#58511yescharacteristic
742C22×C139#58511yescharacteristic
743C4×C139—22no—
744C4×C139—22no—
745C4×C139—22no—
746C4×C139—22no—
747C4×C139—22no—
748C4×C139—22no—
749C4×C139—22no—
750C4×C139—22no—
751C4×C139—22no—
752C4×C139—22no—
753C4×C139—22no—
754C4×C139—22no—
755C4×C139—41no—
756C4×C139—41no—
757C4×C139—41no—
758C4×C139—41no—
759C4×C139—41no—
760C4×C139—41no—
761C4×C139—41no—
762C4×C139—41no—
763C4×C139—41no—
764C4×C139—41no—
765C4×C139—41no—
766C4×C139—41no—
767C4×C139—41no—
768C4×C139—41no—
769C2×C139—42no—
770C2×C139—42no—
771C2×C139—42no—
772C2×C139—42no—
773C2×C139—42no—
774C2×C139#342811yescharacteristic
775C2×C139C4×H(5,𝔽2)11yescharacteristic
776C2×C139C4×H(5,𝔽2)11yescharacteristic
777C2×C139#353411yescharacteristic
778C2×C139#353911yescharacteristic
779C2×C139#356211yescharacteristic
780C2×C139#356611yescharacteristic
781#34442C13911yesmaximal, characteristic, direct product factor, Sylow
782C139#3444211yescharacteristic, direct product factor, Sylow
783C2×#540C2×C13911yescharacteristic
784#2380C2×C13911yescharacteristic, complemented
785#2377C2×C13911yescharacteristic, complemented
786#2377C2×C13911yescharacteristic, complemented
787#2376C2×C13911yescharacteristic, complemented
788#2374C2×C13911yescharacteristic, complemented
789#2366C2×C13911yescharacteristic, complemented
790#2364C2×C13911yescharacteristic, complemented
791#2364C2×C13911yescharacteristic, complemented
792#2363C2×C13911yescharacteristic, complemented
793#2361C2×C13911yescharacteristic, complemented
794#2359C2×C13911yescharacteristic, complemented
795#2359C2×C13911yescharacteristic, complemented
796#2353C2×C13911yescharacteristic, complemented
797#2352C2×C13911yescharacteristic, complemented
798#2347C2×C13911yescharacteristic, complemented
799#2343C2×C13911yescharacteristic, complemented
800#2336C2×C13911yescharacteristic, complemented
801#2336C2×C13911yescharacteristic, complemented
802#2335C2×C13911yescharacteristic, complemented
803#2335C2×C13911yescharacteristic, complemented
804#2333C2×C13911yescharacteristic, complemented
805#2333C2×C13911yescharacteristic, complemented
806#2325C2×C13911yescharacteristic, complemented
807#2325C2×C13911yescharacteristic, complemented
808#2324C2×C13911yescharacteristic, complemented
809#2322C2×C13911yescharacteristic, complemented
810#2318C2×C13911yescharacteristic, complemented
811C4×#123C2×C13911yescharacteristic, complemented
812C4×#121C2×C13911yescharacteristic, complemented
813#2290C2×C13911yescharacteristic, complemented
814#540C4×C139116yescomplemented
815C2×#127C22×C13911yescharacteristic
816C2×#125C22×C13911yescharacteristic
817C2×#123C22×C13911yescharacteristic
818C2×#123C22×C13911yescharacteristic
819C2×#123C22×C13911yescharacteristic
820C2×#123C22×C13911yescharacteristic
821C2×#121C22×C13911yescharacteristic
822C2×#121C22×C13911yescharacteristic
823C2×#121C22×C13911yescharacteristic
824C2×#121C22×C13911yescharacteristic
825C2×#121C22×C13911yescharacteristic
826C2×#121C22×C13911yescharacteristic
827C2×C4×D4C22×C13911yescharacteristic
828C2×C4×D4C22×C13911yescharacteristic
829C2×C4×D4C22×C13911yescharacteristic
830C2×C4×D4C22×C13911yescharacteristic
831C2×C4×D4C22×C13911yescharacteristic
832C2×C4×D4C22×C13911yescharacteristic
833C2×C4×D4C22×C13911yescharacteristic
834C2×C4×D4C22×C13911yescharacteristic
835C2×C4×D4C22×C13911yescharacteristic
836C2×C4×D4C22×C13911yescharacteristic
837C2×#117C22×C13911yescharacteristic
838C2×#117C22×C13911yescharacteristic
839C2×#117C22×C13911yescharacteristic
840C22×C4⋊C4C22×C13911yescharacteristic
841C22×C42C22×C13911yescharacteristic
842#390C22×C13911yescharacteristic
843#390C22×C13911yescharacteristic
844#390C22×C13911yescharacteristic
845#390C22×C13911yescharacteristic
846#390C22×C13911yescharacteristic
847#390C22×C13911yescharacteristic
848#390C22×C13911yescharacteristic
849#390C22×C13911yescharacteristic
850#389C22×C13911yescharacteristic
851#389C22×C13911yescharacteristic
852#389C22×C13911yescharacteristic
853#389C22×C13911yescharacteristic
854#389C22×C13911yescharacteristic
855#389C22×C13911yescharacteristic
856#388C22×C13911yescharacteristic
857#388C22×C13911yescharacteristic
858#388C22×C13911yescharacteristic
859#388C22×C13911yescharacteristic
860#388C22×C13911yescharacteristic
861#388C22×C13911yescharacteristic
862#388C22×C13911yescharacteristic
863#388C22×C13911yescharacteristic
864#388C22×C13911yescharacteristic
865#388C22×C13911yescharacteristic
866#388C22×C13911yescharacteristic
867#388C22×C13911yescharacteristic
868#388C22×C13911yescharacteristic
869#388C22×C13911yescharacteristic
870#388C22×C13911yescharacteristic
871#388C22×C13911yescharacteristic
872#388C22×C13911yescharacteristic
873#388C22×C13911yescharacteristic
874#388C22×C13911yescharacteristic
875#388C22×C13911yescharacteristic
876#387C22×C13911yescharacteristic
877#387C22×C13911yescharacteristic
878#387C22×C13911yescharacteristic
879#387C22×C13911yescharacteristic
880#387C22×C13911yescharacteristic
881#387C22×C13911yescharacteristic
882#387C22×C13911yescharacteristic
883#387C22×C13911yescharacteristic
884#387C22×C13911yescharacteristic
885#387C22×C13911yescharacteristic
886#387C22×C13911yescharacteristic
887#387C22×C13911yescharacteristic
888#387C22×C13911yescharacteristic
889#387C22×C13911yescharacteristic
890#387C22×C13911yescharacteristic
891#387C22×C13911yescharacteristic
892#387C22×C13911yescharacteristic
893#387C22×C13911yescharacteristic
894#387C22×C13911yescharacteristic
895#387C22×C13911yescharacteristic
896#386C22×C13911yescharacteristic
897#386C22×C13911yescharacteristic
898#386C22×C13911yescharacteristic
899#386C22×C13911yescharacteristic
900#386C22×C13911yescharacteristic
901#386C22×C13911yescharacteristic
902#386C22×C13911yescharacteristic
903#386C22×C13911yescharacteristic
904#386C22×C13911yescharacteristic
905#386C22×C13911yescharacteristic
906#386C22×C13911yescharacteristic
907#386C22×C13911yescharacteristic
908#386C22×C13911yescharacteristic
909#386C22×C13911yescharacteristic
910#386C22×C13911yescharacteristic
911#386C22×C13911yescharacteristic
912#386C22×C13911yescharacteristic
913#386C22×C13911yescharacteristic
914#386C22×C13911yescharacteristic
915#386C22×C13911yescharacteristic
916#386C22×C13911yescharacteristic
917#386C22×C13911yescharacteristic
918#386C22×C13911yescharacteristic
919#386C22×C13911yescharacteristic
920#385C22×C13911yescharacteristic
921#385C22×C13911yescharacteristic
922#385C22×C13911yescharacteristic
923#385C22×C13911yescharacteristic
924#385C22×C13911yescharacteristic
925#385C22×C13911yescharacteristic
926#385C22×C13911yescharacteristic
927#385C22×C13911yescharacteristic
928#385C22×C13911yescharacteristic
929#385C22×C13911yescharacteristic
930#383C22×C13911yescharacteristic
931#383C22×C13911yescharacteristic
932#383C22×C13911yescharacteristic
933#382C22×C13911yescharacteristic
934#381C22×C13911yescharacteristic
935#381C22×C13911yescharacteristic
936#381C22×C13911yescharacteristic
937#380C22×C13911yescharacteristic
938#380C22×C13911yescharacteristic
939#380C22×C13911yescharacteristic
940#380C22×C13911yescharacteristic
941#380C22×C13911yescharacteristic
942C4×C4⋊C4C22×C13911yescharacteristic
943C4×C4⋊C4C22×C13911yescharacteristic
944C4×C4⋊C4C22×C13911yescharacteristic
945C4×C4⋊C4C22×C13911yescharacteristic
946C4×C4⋊C4C22×C13911yescharacteristic
947C4×C4⋊C4C22×C13911yescharacteristic
948C4×C4⋊C4C22×C13911yescharacteristic
949C4×C4⋊C4C22×C13911yescharacteristic
950C4×C4⋊C4C22×C13911yescharacteristic
951C4×C22⋊C4C22×C13911yescharacteristic
952C4×C22⋊C4C22×C13911yescharacteristic
953C4×C22⋊C4C22×C13911yescharacteristic
954C4×C22⋊C4C22×C13911yescharacteristic
955C4×C22⋊C4C22×C13911yescharacteristic
956C4×C22⋊C4C22×C13911yescharacteristic
957C4×C22⋊C4C22×C13911yescharacteristic
958C4×C22⋊C4C22×C13911yescharacteristic
959C4×C22⋊C4C22×C13911yescharacteristic
960C4×C22⋊C4C22×C13911yescharacteristic
961C4×C22⋊C4C22×C13911yescharacteristic
962C4×C22⋊C4C22×C13911yescharacteristic
963C4×C22⋊C4C22×C13911yescharacteristic
964C4×C22⋊C4C22×C13911yescharacteristic
965C4×C22⋊C4C22×C13911yescharacteristic
966#376C22×C13911yescharacteristic
967C2×#95C22×C13911yescharacteristic
968C2×#95C22×C13911yescharacteristic
969C2×#95C22×C13911yescharacteristic
970C22×D4C23×C13911yescharacteristic
971C22×D4C23×C13911yescharacteristic
972C22×D4C23×C13911yescharacteristic
973C22×D4C23×C13911yescharacteristic
974C22×D4C23×C13911yescharacteristic
975C22×D4C23×C13911yescharacteristic
976C22×D4C23×C13911yescharacteristic
977C22×D4C23×C13911yescharacteristic
978C22×D4C23×C13911yescharacteristic
979C22×D4C23×C13911yescharacteristic
980C23×C4C23×C13911yescharacteristic
981C23×C4C23×C13911yescharacteristic
982C23×C4C23×C13911yescharacteristic
983C23×C4C23×C13911yescharacteristic
984C23×C4C23×C13911yescharacteristic
985C23×C4C23×C13911yescharacteristic
986C23×C4C23×C13911yescharacteristic
987C23×C4C23×C13911yescharacteristic
988C23×C4C23×C13911yescharacteristic
989C23×C4C23×C13911yescharacteristic
990C23×C4C23×C13911yescharacteristic
991C23×C4C23×C13911yescharacteristic
992C23×C4C23×C13911yescharacteristic
993C23×C4C23×C13911yescharacteristic
994C23×C4C23×C13911yescharacteristic
995#127C2×C4×C13918yescomplemented
996#125C2×C4×C13918yescomplemented
997#123C2×C4×C13918yescomplemented
998#123C2×C4×C13918yescomplemented
999#123C2×C4×C13918yescomplemented
1000#123C2×C4×C13918yescomplemented
1001#121C2×C4×C13918yescomplemented
1002#121C2×C4×C13918yescomplemented
1003#121C2×C4×C13918yescomplemented
1004#121C2×C4×C13918yescomplemented
1005#121C2×C4×C13918yescomplemented
1006#121C2×C4×C13918yescomplemented
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4C2×C4×C13918yescomplemented
1016C4×D4C2×C4×C13918yescomplemented
1017#117—42no—
1018#117—42no—
1019#117C2×C4×C13918yescomplemented
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4C23×C13911yescharacteristic
1022C2×C4⋊C4C23×C13911yescharacteristic
1023C2×C4⋊C4C23×C13911yescharacteristic
1024C2×C4⋊C4C23×C13911yescharacteristic
1025C2×C4⋊C4C23×C13911yescharacteristic
1026C2×C4⋊C4C23×C13911yescharacteristic
1027C2×C4⋊C4C23×C13911yescharacteristic
1028C2×C4⋊C4C23×C13911yescharacteristic
1029C2×C4⋊C4C23×C13911yescharacteristic
1030C2×C4⋊C4C23×C13911yescharacteristic
1031C2×C4⋊C4C23×C13911yescharacteristic
1032C2×C4⋊C4C23×C13911yescharacteristic
1033C2×C4⋊C4C23×C13911yescharacteristic
1034C2×C4⋊C4C23×C13911yescharacteristic
1035C2×C4⋊C4C23×C13911yescharacteristic
1036C2×C4⋊C4C23×C13911yescharacteristic
1037C2×C4⋊C4C23×C13911yescharacteristic
1038C2×C4⋊C4C23×C13911yescharacteristic
1039C2×C4⋊C4C23×C13911yescharacteristic
1040C2×C4⋊C4C23×C13911yescharacteristic
1041C2×C4⋊C4C23×C13911yescharacteristic
1042C2×C4⋊C4C23×C13911yescharacteristic
1043C2×C4⋊C4C23×C13911yescharacteristic
1044C2×C4⋊C4C23×C13911yescharacteristic
1045C2×C4⋊C4C23×C13911yescharacteristic
1046C2×C4⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×C22⋊C4C23×C13911yescharacteristic
1053C2×C22⋊C4C23×C13911yescharacteristic
1054C2×C22⋊C4C23×C13911yescharacteristic
1055C2×C22⋊C4C23×C13911yescharacteristic
1056C2×C22⋊C4C23×C13911yescharacteristic
1057C2×C22⋊C4C23×C13911yescharacteristic
1058C2×C22⋊C4C23×C13911yescharacteristic
1059C2×C22⋊C4C23×C13911yescharacteristic
1060C2×C22⋊C4C23×C13911yescharacteristic
1061C2×C22⋊C4C23×C13911yescharacteristic
1062C2×C22⋊C4C23×C13911yescharacteristic
1063C2×C22⋊C4C23×C13911yescharacteristic
1064C2×C22⋊C4C23×C13911yescharacteristic
1065C2×C22⋊C4C23×C13911yescharacteristic
1066C2×C22⋊C4C23×C13911yescharacteristic
1067C2×C22⋊C4C23×C13911yescharacteristic
1068C2×C22⋊C4C23×C13911yescharacteristic
1069C2×C22⋊C4C23×C13911yescharacteristic
1070C2×C22⋊C4C23×C13911yescharacteristic
1071C2×C22⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4C23×C13911yescharacteristic
1073C2×C22⋊C4C23×C13911yescharacteristic
1074C2×C22⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4C23×C13911yescharacteristic
1076C2×C22⋊C4C23×C13911yescharacteristic
1077C2×C22⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4C23×C13911yescharacteristic
1079C2×C22⋊C4C23×C13911yescharacteristic
1080C2×C22⋊C4C23×C13911yescharacteristic
1081C2×C22⋊C4C23×C13911yescharacteristic
1082C2×C22⋊C4C23×C13911yescharacteristic
1083C2×C22⋊C4C23×C13911yescharacteristic
1084C2×C22⋊C4C23×C13911yescharacteristic
1085C2×C22⋊C4C23×C13911yescharacteristic
1086C2×C22⋊C4C23×C13911yescharacteristic
1087C2×C42—42no—
1088C2×C42C23×C13911yescharacteristic
1089C2×C42C23×C13911yescharacteristic
1090C2×C42C23×C13911yescharacteristic
1091C2×C42C23×C13911yescharacteristic
1092C2×C42C23×C13911yescharacteristic
1093C2×C42C23×C13911yescharacteristic
1094C2×C42C23×C13911yescharacteristic
1095C2×C42C23×C13911yescharacteristic
1096C2×C42C23×C13911yescharacteristic
1097C2×C42C23×C13911yescharacteristic
1098C2×C42C23×C13911yescharacteristic
1099C2×C42C23×C13911yescharacteristic
1100C2×C42C23×C13911yescharacteristic
1101C2×C42C23×C13911yescharacteristic
1102C2×C42C23×C13911yescharacteristic
1103C2×C42C23×C13911yescharacteristic
1104C2×C42C23×C13911yescharacteristic
1105C2×C42C23×C13911yescharacteristic
1106C2×C42C23×C13911yescharacteristic
1107C2×C42C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110#95C23×C13911yescharacteristic
1111#95C23×C13911yescharacteristic
1112#95C23×C13911yescharacteristic
1113#95C23×C13911yescharacteristic
1114#95C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127#95C23×C13911yescharacteristic
1128#95C23×C13911yescharacteristic
1129#95C23×C13911yescharacteristic
1130#95C23×C13911yescharacteristic
1131#95C23×C13911yescharacteristic
1132#95C23×C13911yescharacteristic
1133#95C23×C13911yescharacteristic
1134#95C23×C13911yescharacteristic
1135#95C23×C13911yescharacteristic
1136#95C23×C13911yescharacteristic
1137#95C23×C13911yescharacteristic
1138#95C23×C13911yescharacteristic
1139#95C23×C13911yescharacteristic
1140#95C23×C13911yescharacteristic
1141#95C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143#95C23×C13911yescharacteristic
1144#95C23×C13911yescharacteristic
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152C24C24×C13911yescharacteristic
1153C24C24×C13911yescharacteristic
1154C24C24×C13911yescharacteristic
1155C24C24×C13911yescharacteristic
1156C24C24×C13911yescharacteristic
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C22×C4×C13914yes—
1178C2×D4C22×C4×C13914yes—
1179C2×D4C22×C4×C13914yes—
1180C2×D4C22×C4×C13914yes—
1181C2×D4C22×C4×C13914yes—
1182C2×D4C22×C4×C13914yes—
1183C2×D4C22×C4×C13914yes—
1184C2×D4C22×C4×C13914yes—
1185C2×D4C22×C4×C13914yes—
1186C2×D4C22×C4×C13914yes—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4C22×C4×C13914yes—
1228C22×C4C22×C4×C13914yes—
1229C22×C4C22×C4×C13914yes—
1230C22×C4C22×C4×C13914yes—
1231C22×C4C22×C4×C13914yes—
1232C22×C4C24×C13911yescharacteristic
1233C22×C4C24×C13911yescharacteristic
1234C22×C4C24×C13911yescharacteristic
1235C22×C4C24×C13911yescharacteristic
1236C22×C4C24×C13911yescharacteristic
1237C22×C4C24×C13911yescharacteristic
1238C22×C4C24×C13911yescharacteristic
1239C22×C4C24×C13911yescharacteristic
1240C22×C4C24×C13911yescharacteristic
1241C22×C4C24×C13911yescharacteristic
1242C22×C4C24×C13911yescharacteristic
1243C22×C4C24×C13911yescharacteristic
1244C22×C4C24×C13911yescharacteristic
1245C22×C4C24×C13911yescharacteristic
1246C22×C4C24×C13911yescharacteristic
1247C22×C4C24×C13911yescharacteristic
1248C22×C4C24×C13911yescharacteristic
1249C22×C4C24×C13911yescharacteristic
1250C22×C4C24×C13911yescharacteristic
1251C22×C4C24×C13911yescharacteristic
1252C22×C4C24×C13911yescharacteristic
1253C22×C4C24×C13911yescharacteristic
1254C22×C4C24×C13911yescharacteristic
1255C22×C4C24×C13911yescharacteristic
1256C22×C4C24×C13911yescharacteristic
1257C22×C4C24×C13911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4C22×C4×C13914yes—
1277C4⋊C4C22×C4×C13914yes—
1278C4⋊C4C22×C4×C13914yes—
1279C4⋊C4C22×C4×C13914yes—
1280C4⋊C4C22×C4×C13914yes—
1281C4⋊C4C22×C4×C13914yes—
1282C4⋊C4C22×C4×C13914yes—
1283C4⋊C4C22×C4×C13914yes—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4C22×C4×C13914yes—
1315C22⋊C4C22×C4×C13914yes—
1316C22⋊C4C22×C4×C13914yes—
1317C22⋊C4C22×C4×C13914yes—
1318C22⋊C4C22×C4×C13914yes—
1319C22⋊C4C22×C4×C13914yes—
1320C22⋊C4C22×C4×C13914yes—
1321C22⋊C4C22×C4×C13914yes—
1322C22⋊C4C22×C4×C13914yes—
1323C22⋊C4C22×C4×C13914yes—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×C4×C13914yes—
1343C42C22×C4×C13914yes—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C23×C4×C13912yes—
1375C23C23×C4×C13912yes—
1376C23C23×C4×C13912yes—
1377C23C23×C4×C13912yes—
1378C23C23×C4×C13912yes—
1379C23C25×C13911yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4C23×C4×C13912yes—
1472C2×C4C23×C4×C13912yes—
1473C2×C4C23×C4×C13912yes—
1474C2×C4C23×C4×C13912yes—
1475C2×C4C23×C4×C13912yes—
1476C2×C4C23×C4×C13912yes—
1477C2×C4C23×C4×C13912yes—
1478C2×C4C23×C4×C13912yes—
1479C2×C4C23×C4×C13912yes—
1480C2×C4C23×C4×C13912yes—
1481C2×C4H(5,𝔽2)×C13912yes—
1482C2×C4H(5,𝔽2)×C13912yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22C24×C4×C13911yescharacteristic
1519C22C2×H(5,𝔽2)×C13911yescharacteristic
1520C22C2×H(5,𝔽2)×C13911yescharacteristic
1521C22#585×C13911yescharacteristic
1522C22#585×C13911yescharacteristic
1523C22#585×C13911yescharacteristic
1524C22#585×C13911yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2#3428×C13911yescharacteristic
1557C2C4×H(5,𝔽2)×C13911yescharacteristic
1558C2C4×H(5,𝔽2)×C13911yescharacteristic
1559C2#3534×C13911yescharacteristic
1560C2#3539×C13911yescharacteristic
1561C2#3562×C13911yescharacteristic
1562C2#3566×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#540×C139C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2380×C139C2semidirect
3. #2377×C139C2semidirect
4. #2377×C139C2semidirect
5. #2376×C139C2semidirect
6. #2374×C139C2semidirect
7. #2366×C139C2semidirect
8. #2364×C139C2semidirect
9. #2364×C139C2semidirect
10. #2363×C139C2semidirect
11. #2361×C139C2semidirect
12. #2359×C139C2semidirect
13. #2359×C139C2semidirect
14. #2353×C139C2semidirect
15. #2352×C139C2semidirect
16. #2347×C139C2semidirect
17. #2343×C139C2semidirect
18. #2336×C139C2semidirect
19. #2336×C139C2semidirect
20. #2335×C139C2semidirect
21. #2335×C139C2semidirect
22. #2333×C139C2semidirect
23. #2333×C139C2semidirect
24. #2325×C139C2semidirect
25. #2325×C139C2semidirect
26. #2324×C139C2semidirect
27. #2322×C139C2semidirect
28. #2318×C139C2semidirect
29. C4×#123×C139C2semidirect
30. C4×#121×C139C2semidirect
31. #2290×C139C2semidirect
32. #540×C139C4semidirect
213. #127×C139C2×C4semidirect
214. #125×C139C2×C4semidirect
215. #123×C139C2×C4semidirect
216. #123×C139C2×C4semidirect
217. #123×C139C2×C4semidirect
218. #123×C139C2×C4semidirect
219. #121×C139C2×C4semidirect
220. #121×C139C2×C4semidirect
221. #121×C139C2×C4semidirect
222. #121×C139C2×C4semidirect
223. #121×C139C2×C4semidirect
224. #121×C139C2×C4semidirect
233. C4×D4×C139C2×C4semidirect
234. C4×D4×C139C2×C4semidirect
237. #117×C139C2×C4semidirect
781. #34442C139direct (N × H)
782. C139#34442direct (N × H)
784. #2380C2×C139semidirect
785. #2377C2×C139semidirect
786. #2377C2×C139semidirect
787. #2376C2×C139semidirect
788. #2374C2×C139semidirect
789. #2366C2×C139semidirect
790. #2364C2×C139semidirect
791. #2364C2×C139semidirect
792. #2363C2×C139semidirect
793. #2361C2×C139semidirect
794. #2359C2×C139semidirect
795. #2359C2×C139semidirect
796. #2353C2×C139semidirect
797. #2352C2×C139semidirect
798. #2347C2×C139semidirect
799. #2343C2×C139semidirect
800. #2336C2×C139semidirect
801. #2336C2×C139semidirect
802. #2335C2×C139semidirect
803. #2335C2×C139semidirect
804. #2333C2×C139semidirect
805. #2333C2×C139semidirect
806. #2325C2×C139semidirect
807. #2325C2×C139semidirect
808. #2324C2×C139semidirect
809. #2322C2×C139semidirect
810. #2318C2×C139semidirect
811. C4×#123C2×C139semidirect
812. C4×#121C2×C139semidirect
813. #2290C2×C139semidirect
814. #540C4×C139semidirect
995. #127C2×C4×C139semidirect
996. #125C2×C4×C139semidirect
997. #123C2×C4×C139semidirect
998. #123C2×C4×C139semidirect
999. #123C2×C4×C139semidirect
1000. #123C2×C4×C139semidirect
1001. #121C2×C4×C139semidirect
1002. #121C2×C4×C139semidirect
1003. #121C2×C4×C139semidirect
1004. #121C2×C4×C139semidirect
1005. #121C2×C4×C139semidirect
1006. #121C2×C4×C139semidirect
1015. C4×D4C2×C4×C139semidirect
1016. C4×D4C2×C4×C139semidirect
1019. #117C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C1392
#2380×C1392
#2377×C1392
#2376×C1392
#2374×C1392
#2366×C1392
#2364×C1392
#2363×C1392
#2361×C1392
#2359×C1392
#2353×C1392
#2352×C1392
#2347×C1392
#2343×C1392
#2336×C1392
#2335×C1392
#2333×C1392
#2325×C1392
#2324×C1392
#2322×C1392
#2318×C1392
C4×#123×C1392
C4×#121×C1392
#2290×C1392
#34442139