Finite Group Databasebeta

← C139×#36888 #48031484

Subgroups — C139×#36888 #48031484

Order 35584.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2849×C139C211yesmaximal, characteristic, complemented
2#2848×C139C211yesmaximal, characteristic, complemented
3#2796×C139C211yesmaximal, characteristic, complemented
4#2790×C139C211yesmaximal, characteristic, complemented
5#2779×C139C211yesmaximal, characteristic, complemented
6#2753×C139C211yesmaximal, characteristic, complemented
7#2748×C139C211yesmaximal, characteristic, complemented
8#2740×C139C211yesmaximal, characteristic, complemented
9#2735×C139C211yesmaximal, characteristic, complemented
10#2730×C139C211yesmaximal, characteristic, complemented
11#2720×C139C211yesmaximal, characteristic, complemented
12#2707×C139C211yesmaximal, characteristic, complemented
13#2698×C139C211yesmaximal, characteristic, complemented
14#2695×C139C211yesmaximal, characteristic, complemented
15#2685×C139C211yesmaximal, characteristic, complemented
16#2685×C139C211yesmaximal, characteristic, complemented
17#2678×C139C211yesmaximal, characteristic
18#2672×C139C211yesmaximal, characteristic, complemented
19#2633×C139C211yesmaximal, characteristic, complemented
20#2630×C139C211yesmaximal, characteristic, complemented
21#2578×C139C211yesmaximal, characteristic, complemented
22#2573×C139C211yesmaximal, characteristic, complemented
23#2558×C139C211yesmaximal, characteristic, complemented
24#2556×C139C211yesmaximal, characteristic, complemented
25#2468×C139C211yesmaximal, characteristic, complemented
26#2461×C139C211yesmaximal, characteristic, complemented
27#2454×C139C211yesmaximal, characteristic, complemented
28#2422×C139C211yesmaximal, characteristic, complemented
29#2335×C139C211yesmaximal, characteristic, complemented
30#2334×C139C211yesmaximal, characteristic, complemented
31C4×#120×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic
35C2×#125×C139C2211yescharacteristic, complemented
36C2×#125×C139C2211yescharacteristic, complemented
37C2×#124×C139C2211yescharacteristic, complemented
38C2×#123×C139C2211yescharacteristic
39C2×#123×C139C2211yescharacteristic
40C2×#123×C139C2211yescharacteristic
41C2×#123×C139C2211yescharacteristic, complemented
42C2×C22⋊Q8×C139C2211yescharacteristic
43C2×C22⋊Q8×C139C2211yescharacteristic
44C2×C22⋊Q8×C139C2211yescharacteristic
45C2×#121×C139C2211yescharacteristic
46C2×#120×C139C2211yescharacteristic
47C2×#120×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic
50C2×C4×D4×C139C2211yescharacteristic
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#399×C139C2211yescharacteristic
58#399×C139C2211yescharacteristic, complemented
59#399×C139C2211yescharacteristic, complemented
60#398×C139C2211yescharacteristic, complemented
61#398×C139C2211yescharacteristic, complemented
62#398×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#398×C139C2211yescharacteristic, complemented
65#398×C139C2211yescharacteristic, complemented
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic, complemented
71#397×C139C2211yescharacteristic, complemented
72#397×C139C2211yescharacteristic, complemented
73#397×C139C2211yescharacteristic, complemented
74#396×C139C2211yescharacteristic
75#396×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic, complemented
80#396×C139C2211yescharacteristic, complemented
81#396×C139C2211yescharacteristic, complemented
82#396×C139C2211yescharacteristic, complemented
83#395×C139C2211yescharacteristic, complemented
84#395×C139C2211yescharacteristic, complemented
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic
93#394×C139C2211yescharacteristic
94#394×C139C2211yescharacteristic
95#394×C139C2211yescharacteristic, complemented
96#394×C139C2211yescharacteristic, complemented
97#392×C139C2211yescharacteristic
98#392×C139C2211yescharacteristic
99#391×C139C2211yescharacteristic, complemented
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic
104#390×C139C2211yescharacteristic
105#390×C139C2211yescharacteristic
106#389×C139C2211yescharacteristic, complemented
107#389×C139C2211yescharacteristic, complemented
108#389×C139C2211yescharacteristic, complemented
109#389×C139C2211yescharacteristic, complemented
110#389×C139C2211yescharacteristic, complemented
111#389×C139C2211yescharacteristic, complemented
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic, complemented
126#388×C139C2211yescharacteristic, complemented
127#388×C139C2211yescharacteristic, complemented
128#388×C139C2211yescharacteristic, complemented
129#388×C139C2211yescharacteristic, complemented
130#388×C139C2211yescharacteristic, complemented
131#388×C139C2211yescharacteristic, complemented
132#387×C139C2211yescharacteristic, complemented
133#387×C139C2211yescharacteristic, complemented
134#387×C139C2211yescharacteristic, complemented
135#387×C139C2211yescharacteristic, complemented
136#387×C139C2211yescharacteristic, complemented
137#387×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#387×C139C2211yescharacteristic, complemented
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic, complemented
163#385×C139C2211yescharacteristic, complemented
164#385×C139C2211yescharacteristic, complemented
165#384×C139C2211yescharacteristic, complemented
166#383×C139C2211yescharacteristic, complemented
167#382×C139C2211yescharacteristic, complemented
168#381×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#380×C139C2211yescharacteristic
171#380×C139C2211yescharacteristic
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic, complemented
174#380×C139C2211yescharacteristic, complemented
175#380×C139C2211yescharacteristic, complemented
176#379×C139C2211yescharacteristic
177#379×C139C2211yescharacteristic
178#379×C139C2211yescharacteristic
179#379×C139C2211yescharacteristic
180C4×C4⋊C4×C139C2211yescharacteristic, complemented
181C4×C4⋊C4×C139C2211yescharacteristic, complemented
182C4×C4⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185C4×C22⋊C4×C139C2211yescharacteristic
186C4×C22⋊C4×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C23×C4×C139—42no—
197C23×C4×C139—42no—
198C23×C4×C139—42no—
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207#126×C139—24no—
208#126×C139—42no—
209#125×C139—42no—
210#125×C139—42no—
211#124×C139—42no—
212#123×C139—24no—
213#123×C139—42no—
214#123×C139—42no—
215#123×C139—42no—
216C22⋊Q8×C139—42no—
217C22⋊Q8×C139—42no—
218C22⋊Q8×C139—42no—
219#121×C139—42no—
220#120×C139—24no—
221#120×C139—42no—
222C4×D4×C139—42no—
223C4×D4×C139—42no—
224C4×D4×C139—42no—
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×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C4⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C22⋊C4×C139C2311yescharacteristic
312C2×C22⋊C4×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
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
363C24×C139—22no—
364C24×C139—22no—
365C24×C139—22no—
366C24×C139—41no—
367C24×C139—41no—
368C24×C139—41no—
369C24×C139—41no—
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C24×C139C2411yescharacteristic
375C2×Q8×C139—22no—
376C2×Q8×C139—41no—
377C2×Q8×C139—41no—
378C2×D4×C139—22no—
379C2×D4×C139—22no—
380C2×D4×C139—22no—
381C2×D4×C139—22no—
382C2×D4×C139—22no—
383C2×D4×C139—22no—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
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×C139—41no—
396C2×D4×C139—41no—
397C2×D4×C139—41no—
398C2×D4×C139—41no—
399C22×C4×C139—22no—
400C22×C4×C139—22no—
401C22×C4×C139—22no—
402C22×C4×C139—22no—
403C22×C4×C139—22no—
404C22×C4×C139—22no—
405C22×C4×C139—22no—
406C22×C4×C139—22no—
407C22×C4×C139—22no—
408C22×C4×C139—22no—
409C22×C4×C139—41no—
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—416no—
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
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
440C22×C4×C139C2411yescharacteristic
441C22×C4×C139C2411yescharacteristic
442C22×C4×C139C2411yescharacteristic
443C22×C4×C139C2411yescharacteristic
444C22×C4×C139C2411yescharacteristic
445C22×C4×C139C2411yescharacteristic
446C22×C4×C139C2411yescharacteristic
447C22×C4×C139C2411yescharacteristic
448C22×C4×C139C2411yescharacteristic
449C22×C4×C139C2411yescharacteristic
450C4⋊C4×C139—22no—
451C4⋊C4×C139—22no—
452C4⋊C4×C139—22no—
453C4⋊C4×C139—22no—
454C4⋊C4×C139—22no—
455C4⋊C4×C139—22no—
456C4⋊C4×C139—22no—
457C4⋊C4×C139—22no—
458C4⋊C4×C139—22no—
459C4⋊C4×C139—22no—
460C4⋊C4×C139—22no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C4⋊C4×C139—41no—
472C4⋊C4×C139—41no—
473C4⋊C4×C139—41no—
474C4⋊C4×C139—41no—
475C4⋊C4×C139—41no—
476C4⋊C4×C139—41no—
477C4⋊C4×C139—41no—
478C4⋊C4×C139—41no—
479C4⋊C4×C139—41no—
480C4⋊C4×C139—41no—
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—
488C22⋊C4×C139—22no—
489C22⋊C4×C139—22no—
490C22⋊C4×C139—22no—
491C22⋊C4×C139—22no—
492C22⋊C4×C139—22no—
493C22⋊C4×C139—22no—
494C22⋊C4×C139—22no—
495C22⋊C4×C139—22no—
496C22⋊C4×C139—22no—
497C22⋊C4×C139—22no—
498C22⋊C4×C139—22no—
499C22⋊C4×C139—22no—
500C22⋊C4×C139—22no—
501C22⋊C4×C139—22no—
502C22⋊C4×C139—22no—
503C22⋊C4×C139—41no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139—41no—
518C22⋊C4×C139—41no—
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×C139—41no—
533C22⋊C4×C139—41no—
534C22⋊C4×C139—41no—
535C22⋊C4×C139—41no—
536C22⋊C4×C139—41no—
537C22⋊C4×C139#4114yes—
538C42×C139—22no—
539C42×C139—22no—
540C42×C139—41no—
541C42×C139—41no—
542C42×C139—41no—
543C42×C139—41no—
544C42×C139—41no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139—41no—
548C23×C139—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—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—44no—
581C23×C139—44no—
582C23×C139—44no—
583C23×C139—44no—
584C23×C139—44no—
585C23×C139—44no—
586C23×C139—44no—
587C23×C139C2×#4112yes—
588C23×C139H(5,𝔽2)12yes—
589C23×C1392−1+412yes—
590C23×C139C2511yescharacteristic
591Q8×C139—82no—
592D4×C139—44no—
593D4×C139—44no—
594D4×C139—44no—
595D4×C139—82no—
596D4×C139—82no—
597D4×C139—82no—
598D4×C139—82no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—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—44no—
674C2×C4×C139—44no—
675C2×C4×C139—44no—
676C2×C4×C139—44no—
677C2×C4×C139—44no—
678C2×C4×C139—44no—
679C2×C4×C139—82no—
680C2×C4×C139—82no—
681C2×C4×C139C2×#4112yes—
682C2×C4×C139C2×#4112yes—
683C2×C4×C139H(5,𝔽2)12yes—
684C2×C4×C139H(5,𝔽2)12yes—
685C22×C139—22no—
686C22×C139—22no—
687C22×C139—22no—
688C22×C139—22no—
689C22×C139—22no—
690C22×C139—22no—
691C22×C139—22no—
692C22×C139—22no—
693C22×C139—22no—
694C22×C139—416no—
695C22×C139—41no—
696C22×C139—41no—
697C22×C139—41no—
698C22×C139—41no—
699C22×C139—41no—
700C22×C139—41no—
701C22×C139—41no—
702C22×C139—41no—
703C22×C139—41no—
704C22×C139—41no—
705C22×C139—41no—
706C22×C139—41no—
707C22×C139—41no—
708C22×C139—41no—
709C22×C139—41no—
710C22×C139—41no—
711C22×C139—41no—
712C22×C139—41no—
713C22×C139—41no—
714C22×C139—41no—
715C22×C139—41no—
716C22×C139—41no—
717C22×C139—41no—
718C22×C139—41no—
719C22×C139—41no—
720C22×C139—41no—
721C22×C139C22×#4111yescharacteristic
722C22×C139C2×H(5,𝔽2)11yescharacteristic
723C22×C139C2×H(5,𝔽2)11yescharacteristic
724C22×C139C2×H(5,𝔽2)11yescharacteristic
725C22×C139C2×2−1+411yescharacteristic
726C22×C139#58511yescharacteristic
727C22×C139#58511yescharacteristic
728C4×C139—22no—
729C4×C139—22no—
730C4×C139—22no—
731C4×C139—22no—
732C4×C139—41no—
733C4×C139—41no—
734C4×C139—41no—
735C4×C139—41no—
736C4×C139—41no—
737C4×C139—41no—
738C4×C139—41no—
739C4×C139—41no—
740C4×C139—41no—
741C4×C139—41no—
742C4×C139—41no—
743C4×C139—41no—
744C4×C139—41no—
745C4×C139—41no—
746C4×C139—41no—
747C4×C139—41no—
748C4×C139—41no—
749C4×C139—41no—
750C4×C139—41no—
751C4×C139—41no—
752C4×C139—41no—
753C4×C139—41no—
754C2×C139—42no—
755C2×C139—42no—
756C2×C139—42no—
757C2×C139—81no—
758C2×C139—81no—
759C2×C139#346011yescharacteristic
760C2×C139#351311yescharacteristic
761C2×C139#352011yescharacteristic
762C2×C139#353211yescharacteristic
763C2×C139#353511yescharacteristic
764C2×C139#353911yescharacteristic
765C2×C139#354111yescharacteristic
766#36888C13911yesmaximal, characteristic, direct product factor, Sylow
767C139#3688811yescharacteristic, direct product factor, Sylow
768#2849C2×C13911yescharacteristic, complemented
769#2848C2×C13911yescharacteristic, complemented
770#2796C2×C13911yescharacteristic, complemented
771#2790C2×C13911yescharacteristic, complemented
772#2779C2×C13911yescharacteristic, complemented
773#2753C2×C13911yescharacteristic, complemented
774#2748C2×C13911yescharacteristic, complemented
775#2740C2×C13911yescharacteristic, complemented
776#2735C2×C13911yescharacteristic, complemented
777#2730C2×C13911yescharacteristic, complemented
778#2720C2×C13911yescharacteristic, complemented
779#2707C2×C13911yescharacteristic, complemented
780#2698C2×C13911yescharacteristic, complemented
781#2695C2×C13911yescharacteristic, complemented
782#2685C2×C13911yescharacteristic, complemented
783#2685C2×C13911yescharacteristic, complemented
784#2678C2×C13911yescharacteristic
785#2672C2×C13911yescharacteristic, complemented
786#2633C2×C13911yescharacteristic, complemented
787#2630C2×C13911yescharacteristic, complemented
788#2578C2×C13911yescharacteristic, complemented
789#2573C2×C13911yescharacteristic, complemented
790#2558C2×C13911yescharacteristic, complemented
791#2556C2×C13911yescharacteristic, complemented
792#2468C2×C13911yescharacteristic, complemented
793#2461C2×C13911yescharacteristic, complemented
794#2454C2×C13911yescharacteristic, complemented
795#2422C2×C13911yescharacteristic, complemented
796#2335C2×C13911yescharacteristic, complemented
797#2334C2×C13911yescharacteristic, complemented
798C4×#120C2×C13911yescharacteristic, complemented
799C24×C4C22×C13911yescharacteristic
800C2×#126C22×C13911yescharacteristic
801C2×#126C22×C13911yescharacteristic
802C2×#125C22×C13911yescharacteristic, complemented
803C2×#125C22×C13911yescharacteristic, complemented
804C2×#124C22×C13911yescharacteristic, complemented
805C2×#123C22×C13911yescharacteristic
806C2×#123C22×C13911yescharacteristic
807C2×#123C22×C13911yescharacteristic
808C2×#123C22×C13911yescharacteristic, complemented
809C2×C22⋊Q8C22×C13911yescharacteristic
810C2×C22⋊Q8C22×C13911yescharacteristic
811C2×C22⋊Q8C22×C13911yescharacteristic
812C2×#121C22×C13911yescharacteristic
813C2×#120C22×C13911yescharacteristic
814C2×#120C22×C13911yescharacteristic
815C2×C4×D4C22×C13911yescharacteristic
816C2×C4×D4C22×C13911yescharacteristic
817C2×C4×D4C22×C13911yescharacteristic
818#400C22×C13911yescharacteristic, complemented
819#400C22×C13911yescharacteristic, complemented
820#400C22×C13911yescharacteristic, complemented
821#400C22×C13911yescharacteristic, complemented
822#399C22×C13911yescharacteristic
823#399C22×C13911yescharacteristic
824#399C22×C13911yescharacteristic
825#399C22×C13911yescharacteristic, complemented
826#399C22×C13911yescharacteristic, complemented
827#398C22×C13911yescharacteristic, complemented
828#398C22×C13911yescharacteristic, complemented
829#398C22×C13911yescharacteristic, complemented
830#398C22×C13911yescharacteristic, complemented
831#398C22×C13911yescharacteristic, complemented
832#398C22×C13911yescharacteristic, complemented
833#397C22×C13911yescharacteristic
834#397C22×C13911yescharacteristic
835#397C22×C13911yescharacteristic
836#397C22×C13911yescharacteristic
837#397C22×C13911yescharacteristic, complemented
838#397C22×C13911yescharacteristic, complemented
839#397C22×C13911yescharacteristic, complemented
840#397C22×C13911yescharacteristic, complemented
841#396C22×C13911yescharacteristic
842#396C22×C13911yescharacteristic
843#396C22×C13911yescharacteristic
844#396C22×C13911yescharacteristic
845#396C22×C13911yescharacteristic
846#396C22×C13911yescharacteristic, complemented
847#396C22×C13911yescharacteristic, complemented
848#396C22×C13911yescharacteristic, complemented
849#396C22×C13911yescharacteristic, complemented
850#395C22×C13911yescharacteristic, complemented
851#395C22×C13911yescharacteristic, complemented
852#394C22×C13911yescharacteristic
853#394C22×C13911yescharacteristic
854#394C22×C13911yescharacteristic
855#394C22×C13911yescharacteristic
856#394C22×C13911yescharacteristic
857#394C22×C13911yescharacteristic
858#394C22×C13911yescharacteristic
859#394C22×C13911yescharacteristic
860#394C22×C13911yescharacteristic
861#394C22×C13911yescharacteristic
862#394C22×C13911yescharacteristic, complemented
863#394C22×C13911yescharacteristic, complemented
864#392C22×C13911yescharacteristic
865#392C22×C13911yescharacteristic
866#391C22×C13911yescharacteristic, complemented
867#390C22×C13911yescharacteristic
868#390C22×C13911yescharacteristic
869#390C22×C13911yescharacteristic
870#390C22×C13911yescharacteristic
871#390C22×C13911yescharacteristic
872#390C22×C13911yescharacteristic
873#389C22×C13911yescharacteristic, complemented
874#389C22×C13911yescharacteristic, complemented
875#389C22×C13911yescharacteristic, complemented
876#389C22×C13911yescharacteristic, complemented
877#389C22×C13911yescharacteristic, complemented
878#389C22×C13911yescharacteristic, complemented
879#388C22×C13911yescharacteristic
880#388C22×C13911yescharacteristic
881#388C22×C13911yescharacteristic
882#388C22×C13911yescharacteristic
883#388C22×C13911yescharacteristic
884#388C22×C13911yescharacteristic
885#388C22×C13911yescharacteristic
886#388C22×C13911yescharacteristic
887#388C22×C13911yescharacteristic
888#388C22×C13911yescharacteristic
889#388C22×C13911yescharacteristic
890#388C22×C13911yescharacteristic
891#388C22×C13911yescharacteristic
892#388C22×C13911yescharacteristic, complemented
893#388C22×C13911yescharacteristic, complemented
894#388C22×C13911yescharacteristic, complemented
895#388C22×C13911yescharacteristic, complemented
896#388C22×C13911yescharacteristic, complemented
897#388C22×C13911yescharacteristic, complemented
898#388C22×C13911yescharacteristic, complemented
899#387C22×C13911yescharacteristic, complemented
900#387C22×C13911yescharacteristic, complemented
901#387C22×C13911yescharacteristic, complemented
902#387C22×C13911yescharacteristic, complemented
903#387C22×C13911yescharacteristic, complemented
904#387C22×C13911yescharacteristic, complemented
905#387C22×C13911yescharacteristic, complemented
906#387C22×C13911yescharacteristic, complemented
907#387C22×C13911yescharacteristic, complemented
908#386C22×C13911yescharacteristic
909#386C22×C13911yescharacteristic
910#386C22×C13911yescharacteristic
911#386C22×C13911yescharacteristic
912#386C22×C13911yescharacteristic
913#386C22×C13911yescharacteristic
914#386C22×C13911yescharacteristic
915#386C22×C13911yescharacteristic
916#385C22×C13911yescharacteristic
917#385C22×C13911yescharacteristic
918#385C22×C13911yescharacteristic
919#385C22×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, complemented
930#385C22×C13911yescharacteristic, complemented
931#385C22×C13911yescharacteristic, complemented
932#384C22×C13911yescharacteristic, complemented
933#383C22×C13911yescharacteristic, complemented
934#382C22×C13911yescharacteristic, complemented
935#381C22×C13911yescharacteristic
936#381C22×C13911yescharacteristic
937#380C22×C13911yescharacteristic
938#380C22×C13911yescharacteristic
939#380C22×C13911yescharacteristic
940#380C22×C13911yescharacteristic, complemented
941#380C22×C13911yescharacteristic, complemented
942#380C22×C13911yescharacteristic, complemented
943#379C22×C13911yescharacteristic
944#379C22×C13911yescharacteristic
945#379C22×C13911yescharacteristic
946#379C22×C13911yescharacteristic
947C4×C4⋊C4C22×C13911yescharacteristic, complemented
948C4×C4⋊C4C22×C13911yescharacteristic, complemented
949C4×C4⋊C4C22×C13911yescharacteristic, complemented
950C4×C22⋊C4C22×C13911yescharacteristic
951C4×C22⋊C4C22×C13911yescharacteristic
952C4×C22⋊C4C22×C13911yescharacteristic
953C4×C22⋊C4C22×C13911yescharacteristic, complemented
954C25C23×C13911yescharacteristic
955C22×Q8C23×C13911yescharacteristic
956C22×D4C23×C13911yescharacteristic
957C22×D4C23×C13911yescharacteristic
958C22×D4C23×C13911yescharacteristic
959C22×D4C23×C13911yescharacteristic
960C22×D4C23×C13911yescharacteristic
961C22×D4C23×C13911yescharacteristic
962C22×D4C23×C13911yescharacteristic
963C23×C4—42no—
964C23×C4—42no—
965C23×C4—42no—
966C23×C4C23×C13911yescharacteristic
967C23×C4C23×C13911yescharacteristic
968C23×C4C23×C13911yescharacteristic
969C23×C4C23×C13911yescharacteristic
970C23×C4C23×C13911yescharacteristic
971C23×C4C23×C13911yescharacteristic
972C23×C4C23×C13911yescharacteristic
973C23×C4C23×C13911yescharacteristic
974#126—24no—
975#126—42no—
976#125—42no—
977#125—42no—
978#124—42no—
979#123—24no—
980#123—42no—
981#123—42no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986#121—42no—
987#120—24no—
988#120—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C4⋊C4C23×C13911yescharacteristic
999C2×C4⋊C4C23×C13911yescharacteristic
1000C2×C4⋊C4C23×C13911yescharacteristic
1001C2×C4⋊C4C23×C13911yescharacteristic
1002C2×C4⋊C4C23×C13911yescharacteristic
1003C2×C4⋊C4C23×C13911yescharacteristic
1004C2×C4⋊C4C23×C13911yescharacteristic
1005C2×C4⋊C4C23×C13911yescharacteristic
1006C2×C4⋊C4C23×C13911yescharacteristic
1007C2×C4⋊C4C23×C13911yescharacteristic
1008C2×C4⋊C4C23×C13911yescharacteristic
1009C2×C4⋊C4C23×C13911yescharacteristic
1010C2×C4⋊C4C23×C13911yescharacteristic
1011C2×C4⋊C4C23×C13911yescharacteristic
1012C2×C4⋊C4C23×C13911yescharacteristic
1013C2×C4⋊C4C23×C13911yescharacteristic
1014C2×C4⋊C4C23×C13911yescharacteristic
1015C2×C4⋊C4C23×C13911yescharacteristic
1016C2×C4⋊C4C23×C13911yescharacteristic
1017C2×C4⋊C4C23×C13911yescharacteristic
1018C2×C4⋊C4C23×C13911yescharacteristic
1019C2×C4⋊C4C23×C13911yescharacteristic
1020C2×C4⋊C4C23×C13911yescharacteristic
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×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×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×C42C23×C13911yescharacteristic
1081C2×C42C23×C13911yescharacteristic
1082C2×C42C23×C13911yescharacteristic
1083C2×C42C23×C13911yescharacteristic
1084C2×C42C23×C13911yescharacteristic
1085C2×C42C23×C13911yescharacteristic
1086C2×C42C23×C13911yescharacteristic
1087C2×C42C23×C13911yescharacteristic
1088C2×C42C23×C13911yescharacteristic
1089C2×C42C23×C13911yescharacteristic
1090#95C23×C13911yescharacteristic
1091#95C23×C13911yescharacteristic
1092#95C23×C13911yescharacteristic
1093#95C23×C13911yescharacteristic
1094#95C23×C13911yescharacteristic
1095#95C23×C13911yescharacteristic
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×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
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C24×C13911yescharacteristic
1138C24C24×C13911yescharacteristic
1139C24C24×C13911yescharacteristic
1140C24C24×C13911yescharacteristic
1141C24C24×C13911yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
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—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—416no—
1191C22×C4C24×C13911yescharacteristic
1192C22×C4C24×C13911yescharacteristic
1193C22×C4C24×C13911yescharacteristic
1194C22×C4C24×C13911yescharacteristic
1195C22×C4C24×C13911yescharacteristic
1196C22×C4C24×C13911yescharacteristic
1197C22×C4C24×C13911yescharacteristic
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
1200C22×C4C24×C13911yescharacteristic
1201C22×C4C24×C13911yescharacteristic
1202C22×C4C24×C13911yescharacteristic
1203C22×C4C24×C13911yescharacteristic
1204C22×C4C24×C13911yescharacteristic
1205C22×C4C24×C13911yescharacteristic
1206C22×C4C24×C13911yescharacteristic
1207C22×C4C24×C13911yescharacteristic
1208C22×C4C24×C13911yescharacteristic
1209C22×C4C24×C13911yescharacteristic
1210C22×C4C24×C13911yescharacteristic
1211C22×C4C24×C13911yescharacteristic
1212C22×C4C24×C13911yescharacteristic
1213C22×C4C24×C13911yescharacteristic
1214C22×C4C24×C13911yescharacteristic
1215C22×C4C24×C13911yescharacteristic
1216C22×C4C24×C13911yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
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#41×C13914yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23C2×#41×C13912yes—
1355C23H(5,𝔽2)×C13912yes—
1356C232−1+4×C13912yes—
1357C23C25×C13911yescharacteristic
1358Q8—82no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—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—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4C2×#41×C13912yes—
1449C2×C4C2×#41×C13912yes—
1450C2×C4H(5,𝔽2)×C13912yes—
1451C2×C4H(5,𝔽2)×C13912yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—416no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22C22×#41×C13911yescharacteristic
1489C22C2×H(5,𝔽2)×C13911yescharacteristic
1490C22C2×H(5,𝔽2)×C13911yescharacteristic
1491C22C2×H(5,𝔽2)×C13911yescharacteristic
1492C22C2×2−1+4×C13911yescharacteristic
1493C22#585×C13911yescharacteristic
1494C22#585×C13911yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C2—42no—
1522C2—42no—
1523C2—42no—
1524C2—81no—
1525C2—81no—
1526C2#3460×C13911yescharacteristic
1527C2#3513×C13911yescharacteristic
1528C2#3520×C13911yescharacteristic
1529C2#3532×C13911yescharacteristic
1530C2#3535×C13911yescharacteristic
1531C2#3539×C13911yescharacteristic
1532C2#3541×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2678×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2849×C139C2semidirect
2. #2848×C139C2semidirect
3. #2796×C139C2semidirect
4. #2790×C139C2semidirect
5. #2779×C139C2semidirect
6. #2753×C139C2semidirect
7. #2748×C139C2semidirect
8. #2740×C139C2semidirect
9. #2735×C139C2semidirect
10. #2730×C139C2semidirect
11. #2720×C139C2semidirect
12. #2707×C139C2semidirect
13. #2698×C139C2semidirect
14. #2695×C139C2semidirect
15. #2685×C139C2semidirect
16. #2685×C139C2semidirect
18. #2672×C139C2semidirect
19. #2633×C139C2semidirect
20. #2630×C139C2semidirect
21. #2578×C139C2semidirect
22. #2573×C139C2semidirect
23. #2558×C139C2semidirect
24. #2556×C139C2semidirect
25. #2468×C139C2semidirect
26. #2461×C139C2semidirect
27. #2454×C139C2semidirect
28. #2422×C139C2semidirect
29. #2335×C139C2semidirect
30. #2334×C139C2semidirect
31. C4×#120×C139C2semidirect
35. C2×#125×C139C22semidirect
36. C2×#125×C139C22semidirect
37. C2×#124×C139C22semidirect
41. C2×#123×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
58. #399×C139C22semidirect
59. #399×C139C22semidirect
60. #398×C139C22semidirect
61. #398×C139C22semidirect
62. #398×C139C22semidirect
63. #398×C139C22semidirect
64. #398×C139C22semidirect
65. #398×C139C22semidirect
70. #397×C139C22semidirect
71. #397×C139C22semidirect
72. #397×C139C22semidirect
73. #397×C139C22semidirect
79. #396×C139C22semidirect
80. #396×C139C22semidirect
81. #396×C139C22semidirect
82. #396×C139C22semidirect
83. #395×C139C22semidirect
84. #395×C139C22semidirect
95. #394×C139C22semidirect
96. #394×C139C22semidirect
99. #391×C139C22semidirect
106. #389×C139C22semidirect
107. #389×C139C22semidirect
108. #389×C139C22semidirect
109. #389×C139C22semidirect
110. #389×C139C22semidirect
111. #389×C139C22semidirect
125. #388×C139C22semidirect
126. #388×C139C22semidirect
127. #388×C139C22semidirect
128. #388×C139C22semidirect
129. #388×C139C22semidirect
130. #388×C139C22semidirect
131. #388×C139C22semidirect
132. #387×C139C22semidirect
133. #387×C139C22semidirect
134. #387×C139C22semidirect
135. #387×C139C22semidirect
136. #387×C139C22semidirect
137. #387×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
140. #387×C139C22semidirect
162. #385×C139C22semidirect
163. #385×C139C22semidirect
164. #385×C139C22semidirect
165. #384×C139C22semidirect
166. #383×C139C22semidirect
167. #382×C139C22semidirect
173. #380×C139C22semidirect
174. #380×C139C22semidirect
175. #380×C139C22semidirect
180. C4×C4⋊C4×C139C22semidirect
181. C4×C4⋊C4×C139C22semidirect
182. C4×C4⋊C4×C139C22semidirect
186. C4×C22⋊C4×C139C22semidirect
766. #36888C139direct (N × H)
767. C139#36888direct (N × H)
768. #2849C2×C139semidirect
769. #2848C2×C139semidirect
770. #2796C2×C139semidirect
771. #2790C2×C139semidirect
772. #2779C2×C139semidirect
773. #2753C2×C139semidirect
774. #2748C2×C139semidirect
775. #2740C2×C139semidirect
776. #2735C2×C139semidirect
777. #2730C2×C139semidirect
778. #2720C2×C139semidirect
779. #2707C2×C139semidirect
780. #2698C2×C139semidirect
781. #2695C2×C139semidirect
782. #2685C2×C139semidirect
783. #2685C2×C139semidirect
785. #2672C2×C139semidirect
786. #2633C2×C139semidirect
787. #2630C2×C139semidirect
788. #2578C2×C139semidirect
789. #2573C2×C139semidirect
790. #2558C2×C139semidirect
791. #2556C2×C139semidirect
792. #2468C2×C139semidirect
793. #2461C2×C139semidirect
794. #2454C2×C139semidirect
795. #2422C2×C139semidirect
796. #2335C2×C139semidirect
797. #2334C2×C139semidirect
798. C4×#120C2×C139semidirect
802. C2×#125C22×C139semidirect
803. C2×#125C22×C139semidirect
804. C2×#124C22×C139semidirect
808. C2×#123C22×C139semidirect
818. #400C22×C139semidirect
819. #400C22×C139semidirect
820. #400C22×C139semidirect
821. #400C22×C139semidirect
825. #399C22×C139semidirect
826. #399C22×C139semidirect
827. #398C22×C139semidirect
828. #398C22×C139semidirect
829. #398C22×C139semidirect
830. #398C22×C139semidirect
831. #398C22×C139semidirect
832. #398C22×C139semidirect
837. #397C22×C139semidirect
838. #397C22×C139semidirect
839. #397C22×C139semidirect
840. #397C22×C139semidirect
846. #396C22×C139semidirect
847. #396C22×C139semidirect
848. #396C22×C139semidirect
849. #396C22×C139semidirect
850. #395C22×C139semidirect
851. #395C22×C139semidirect
862. #394C22×C139semidirect
863. #394C22×C139semidirect
866. #391C22×C139semidirect
873. #389C22×C139semidirect
874. #389C22×C139semidirect
875. #389C22×C139semidirect
876. #389C22×C139semidirect
877. #389C22×C139semidirect
878. #389C22×C139semidirect
892. #388C22×C139semidirect
893. #388C22×C139semidirect
894. #388C22×C139semidirect
895. #388C22×C139semidirect
896. #388C22×C139semidirect
897. #388C22×C139semidirect
898. #388C22×C139semidirect
899. #387C22×C139semidirect
900. #387C22×C139semidirect
901. #387C22×C139semidirect
902. #387C22×C139semidirect
903. #387C22×C139semidirect
904. #387C22×C139semidirect
905. #387C22×C139semidirect
906. #387C22×C139semidirect
907. #387C22×C139semidirect
929. #385C22×C139semidirect
930. #385C22×C139semidirect
931. #385C22×C139semidirect
932. #384C22×C139semidirect
933. #383C22×C139semidirect
934. #382C22×C139semidirect
940. #380C22×C139semidirect
941. #380C22×C139semidirect
942. #380C22×C139semidirect
947. C4×C4⋊C4C22×C139semidirect
948. C4×C4⋊C4C22×C139semidirect
949. C4×C4⋊C4C22×C139semidirect
953. C4×C22⋊C4C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2849×C1392
#2848×C1392
#2796×C1392
#2790×C1392
#2779×C1392
#2753×C1392
#2748×C1392
#2740×C1392
#2735×C1392
#2730×C1392
#2720×C1392
#2707×C1392
#2698×C1392
#2695×C1392
#2685×C1392
#2678×C1392
#2672×C1392
#2633×C1392
#2630×C1392
#2578×C1392
#2573×C1392
#2558×C1392
#2556×C1392
#2468×C1392
#2461×C1392
#2454×C1392
#2422×C1392
#2335×C1392
#2334×C1392
C4×#120×C1392
#36888139