Finite Group Databasebeta

← C139×#36757 #48031353

Subgroups — C139×#36757 #48031353

Order 35584.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2848×C139C211yesmaximal, characteristic, complemented
2#2847×C139C211yesmaximal, characteristic
3#2796×C139C211yesmaximal, characteristic, complemented
4#2787×C139C211yesmaximal, characteristic, complemented
5#2786×C139C211yesmaximal, characteristic, complemented
6#2782×C139C211yesmaximal, characteristic, complemented
7#2770×C139C211yesmaximal, characteristic, complemented
8#2757×C139C211yesmaximal, characteristic, complemented
9#2750×C139C211yesmaximal, characteristic, complemented
10#2747×C139C211yesmaximal, characteristic, complemented
11#2746×C139C211yesmaximal, characteristic, complemented
12#2728×C139C211yesmaximal, characteristic, complemented
13#2723×C139C211yesmaximal, characteristic, complemented
14#2711×C139C211yesmaximal, characteristic, complemented
15#2708×C139C211yesmaximal, characteristic, complemented
16#2691×C139C211yesmaximal, characteristic, complemented
17#2690×C139C211yesmaximal, characteristic, complemented
18#2681×C139C211yesmaximal, characteristic, complemented
19#2622×C139C211yesmaximal, characteristic, complemented
20#2622×C139C211yesmaximal, characteristic, complemented
21#2510×C139C211yesmaximal, characteristic, complemented
22#2505×C139C211yesmaximal, characteristic, complemented
23#2481×C139C211yesmaximal, characteristic, complemented
24#2473×C139C211yesmaximal, characteristic, complemented
25#2450×C139C211yesmaximal, characteristic, complemented
26#2449×C139C211yesmaximal, characteristic, complemented
27#2444×C139C211yesmaximal, characteristic, complemented
28#2443×C139C211yesmaximal, characteristic, complemented
29#2321×C139C211yesmaximal, characteristic, complemented
30#2321×C139C211yesmaximal, characteristic, complemented
31C2×#385×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic, complemented
34C2×#125×C139C2211yescharacteristic, complemented
35C2×#123×C139C2211yescharacteristic, complemented
36C2×C22⋊Q8×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic
38C2×C22⋊Q8×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic, complemented
40C2×#121×C139C2211yescharacteristic
41C2×#121×C139C2211yescharacteristic
42C2×#121×C139C2211yescharacteristic
43C2×#120×C139C2211yescharacteristic
44C2×#120×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C22×C4⋊C4×C139C2211yescharacteristic
48C22×C4⋊C4×C139C2211yescharacteristic
49C22×C22⋊C4×C139C2211yescharacteristic
50C22×C22⋊C4×C139C2211yescharacteristic
51#401×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#400×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#400×C139C2211yescharacteristic, complemented
58#400×C139C2211yescharacteristic, complemented
59#400×C139C2211yescharacteristic, complemented
60#400×C139C2211yescharacteristic, complemented
61#399×C139C2211yescharacteristic, complemented
62#399×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#398×C139C2211yescharacteristic, complemented
65#398×C139C2211yescharacteristic, complemented
66#398×C139C2211yescharacteristic, complemented
67#398×C139C2211yescharacteristic, complemented
68#398×C139C2211yescharacteristic, complemented
69#398×C139C2211yescharacteristic, complemented
70#397×C139C2211yescharacteristic
71#397×C139C2211yescharacteristic
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic
75#397×C139C2211yescharacteristic
76#397×C139C2211yescharacteristic
77#397×C139C2211yescharacteristic
78#397×C139C2211yescharacteristic, complemented
79#397×C139C2211yescharacteristic, complemented
80#397×C139C2211yescharacteristic, complemented
81#397×C139C2211yescharacteristic, complemented
82#397×C139C2211yescharacteristic, complemented
83#397×C139C2211yescharacteristic, complemented
84#396×C139C2211yescharacteristic, complemented
85#396×C139C2211yescharacteristic, complemented
86#396×C139C2211yescharacteristic, complemented
87#395×C139C2211yescharacteristic, complemented
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic
93#394×C139C2211yescharacteristic
94#394×C139C2211yescharacteristic
95#394×C139C2211yescharacteristic
96#394×C139C2211yescharacteristic, complemented
97#394×C139C2211yescharacteristic, complemented
98#393×C139C2211yescharacteristic, complemented
99#391×C139C2211yescharacteristic, complemented
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic
104#389×C139C2211yescharacteristic, complemented
105#389×C139C2211yescharacteristic, complemented
106#389×C139C2211yescharacteristic, complemented
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic, complemented
116#388×C139C2211yescharacteristic, complemented
117#388×C139C2211yescharacteristic, complemented
118#388×C139C2211yescharacteristic, complemented
119#388×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic
140#386×C139C2211yescharacteristic
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic, complemented
148#385×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
163#385×C139C2211yescharacteristic
164#385×C139C2211yescharacteristic
165#385×C139C2211yescharacteristic
166#385×C139C2211yescharacteristic
167#385×C139C2211yescharacteristic
168#385×C139C2211yescharacteristic, complemented
169#385×C139C2211yescharacteristic, complemented
170#385×C139C2211yescharacteristic, complemented
171#383×C139C2211yescharacteristic, complemented
172#382×C139C2211yescharacteristic, complemented
173#381×C139C2211yescharacteristic, complemented
174#380×C139C2211yescharacteristic
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic
177#380×C139C2211yescharacteristic
178#380×C139C2211yescharacteristic
179#380×C139C2211yescharacteristic
180#380×C139C2211yescharacteristic, complemented
181#379×C139C2211yescharacteristic
182#379×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
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
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211#126×C139—42no—
212#125×C139—42no—
213#123×C139—42no—
214C22⋊Q8×C139—42no—
215C22⋊Q8×C139—42no—
216C22⋊Q8×C139—42no—
217C22⋊Q8×C139—42no—
218#121×C139—42no—
219#121×C139—42no—
220#121×C139—42no—
221#120×C139—24no—
222#120×C139—24no—
223C4×D4×C139—42no—
224C4×D4×C139—42no—
225C2×C4⋊C4×C139—42no—
226C2×C4⋊C4×C139—42no—
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×C22⋊C4×C139—24no—
262C2×C22⋊C4×C139—42no—
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×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363C24×C139—22no—
364C24×C139—22no—
365C24×C139—41no—
366C24×C139—41no—
367C24×C139—41no—
368C24×C139—41no—
369C24×C139#4114yes—
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—22no—
387C2×D4×C139—22no—
388C2×D4×C139—22no—
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—22no—
410C22×C4×C139—22no—
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—416no—
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
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
462C4⋊C4×C139—22no—
463C4⋊C4×C139—22no—
464C4⋊C4×C139—22no—
465C4⋊C4×C139—22no—
466C4⋊C4×C139—22no—
467C4⋊C4×C139—22no—
468C4⋊C4×C139—22no—
469C4⋊C4×C139—22no—
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—
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×C139—41no—
495C4⋊C4×C139—41no—
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—22no—
504C22⋊C4×C139—22no—
505C22⋊C4×C139—22no—
506C22⋊C4×C139—22no—
507C22⋊C4×C139—22no—
508C22⋊C4×C139—22no—
509C22⋊C4×C139—22no—
510C22⋊C4×C139—22no—
511C22⋊C4×C139—22no—
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—41no—
538C22⋊C4×C139—41no—
539C22⋊C4×C139—41no—
540C22⋊C4×C139—41no—
541C22⋊C4×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—28no—
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—44no—
580C23×C139—44no—
581C23×C139—44no—
582C23×C139—44no—
583C23×C139—44no—
584C23×C139—44no—
585C23×C139C2×#4112yes—
586C23×C139C2×#4112yes—
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—82no—
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—21no—
674C2×C4×C139—21no—
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—44no—
682C2×C4×C139—44no—
683C2×C4×C139—82no—
684C2×C4×C139—82no—
685C2×C4×C139—82no—
686C2×C4×C139—82no—
687C2×C4×C139H(5,𝔽2)12yes—
688C2×C4×C139H(5,𝔽2)12yes—
689C22×C139—22no—
690C22×C139—22no—
691C22×C139—22no—
692C22×C139—22no—
693C22×C139—22no—
694C22×C139—22no—
695C22×C139—22no—
696C22×C139—22no—
697C22×C139—22no—
698C22×C139—22no—
699C22×C139—22no—
700C22×C139—22no—
701C22×C139—416no—
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×C139—41no—
722C22×C139—41no—
723C22×C139—41no—
724C22×C139#53914yes—
725C22×C139C22×#4111yescharacteristic
726C22×C139C2×H(5,𝔽2)11yescharacteristic
727C22×C139C2×H(5,𝔽2)11yescharacteristic
728C22×C139C2×H(5,𝔽2)11yescharacteristic
729C22×C139C2×2−1+411yescharacteristic
730C22×C139#58511yescharacteristic
731C22×C139#58511yescharacteristic
732C4×C139—22no—
733C4×C139—22no—
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—
754C4×C139—41no—
755C4×C139—41no—
756C4×C139—41no—
757C4×C139—41no—
758C2×C139—24no—
759C2×C139—42no—
760C2×C139—42no—
761C2×C139—81no—
762C2×C139—81no—
763C2×C139C2×#53911yescharacteristic
764C2×C139#350511yescharacteristic
765C2×C139#350511yescharacteristic
766C2×C139#353211yescharacteristic
767C2×C139#353311yescharacteristic
768C2×C139#354111yescharacteristic
769C2×C139#354111yescharacteristic
770#36757C13911yesmaximal, characteristic, direct product factor, Sylow
771C139#3675711yescharacteristic, direct product factor, Sylow
772#2848C2×C13911yescharacteristic, complemented
773#2847C2×C13911yescharacteristic
774#2796C2×C13911yescharacteristic, complemented
775#2787C2×C13911yescharacteristic, complemented
776#2786C2×C13911yescharacteristic, complemented
777#2782C2×C13911yescharacteristic, complemented
778#2770C2×C13911yescharacteristic, complemented
779#2757C2×C13911yescharacteristic, complemented
780#2750C2×C13911yescharacteristic, complemented
781#2747C2×C13911yescharacteristic, complemented
782#2746C2×C13911yescharacteristic, complemented
783#2728C2×C13911yescharacteristic, complemented
784#2723C2×C13911yescharacteristic, complemented
785#2711C2×C13911yescharacteristic, complemented
786#2708C2×C13911yescharacteristic, complemented
787#2691C2×C13911yescharacteristic, complemented
788#2690C2×C13911yescharacteristic, complemented
789#2681C2×C13911yescharacteristic, complemented
790#2622C2×C13911yescharacteristic, complemented
791#2622C2×C13911yescharacteristic, complemented
792#2510C2×C13911yescharacteristic, complemented
793#2505C2×C13911yescharacteristic, complemented
794#2481C2×C13911yescharacteristic, complemented
795#2473C2×C13911yescharacteristic, complemented
796#2450C2×C13911yescharacteristic, complemented
797#2449C2×C13911yescharacteristic, complemented
798#2444C2×C13911yescharacteristic, complemented
799#2443C2×C13911yescharacteristic, complemented
800#2321C2×C13911yescharacteristic, complemented
801#2321C2×C13911yescharacteristic, complemented
802C2×#385C2×C13911yescharacteristic, complemented
803C24×C4C22×C13911yescharacteristic
804C2×#126C22×C13911yescharacteristic, complemented
805C2×#125C22×C13911yescharacteristic, complemented
806C2×#123C22×C13911yescharacteristic, complemented
807C2×C22⋊Q8C22×C13911yescharacteristic
808C2×C22⋊Q8C22×C13911yescharacteristic
809C2×C22⋊Q8C22×C13911yescharacteristic
810C2×C22⋊Q8C22×C13911yescharacteristic, complemented
811C2×#121C22×C13911yescharacteristic
812C2×#121C22×C13911yescharacteristic
813C2×#121C22×C13911yescharacteristic
814C2×#120C22×C13911yescharacteristic
815C2×#120C22×C13911yescharacteristic
816C2×C4×D4C22×C13911yescharacteristic
817C2×C4×D4C22×C13911yescharacteristic
818C22×C4⋊C4C22×C13911yescharacteristic
819C22×C4⋊C4C22×C13911yescharacteristic
820C22×C22⋊C4C22×C13911yescharacteristic
821C22×C22⋊C4C22×C13911yescharacteristic
822#401C22×C13911yescharacteristic, complemented
823#400C22×C13911yescharacteristic, complemented
824#400C22×C13911yescharacteristic, complemented
825#400C22×C13911yescharacteristic, complemented
826#400C22×C13911yescharacteristic, complemented
827#400C22×C13911yescharacteristic, complemented
828#400C22×C13911yescharacteristic, complemented
829#400C22×C13911yescharacteristic, complemented
830#400C22×C13911yescharacteristic, complemented
831#400C22×C13911yescharacteristic, complemented
832#399C22×C13911yescharacteristic, complemented
833#399C22×C13911yescharacteristic, complemented
834#398C22×C13911yescharacteristic, complemented
835#398C22×C13911yescharacteristic, complemented
836#398C22×C13911yescharacteristic, complemented
837#398C22×C13911yescharacteristic, complemented
838#398C22×C13911yescharacteristic, complemented
839#398C22×C13911yescharacteristic, complemented
840#398C22×C13911yescharacteristic, complemented
841#397C22×C13911yescharacteristic
842#397C22×C13911yescharacteristic
843#397C22×C13911yescharacteristic
844#397C22×C13911yescharacteristic
845#397C22×C13911yescharacteristic
846#397C22×C13911yescharacteristic
847#397C22×C13911yescharacteristic
848#397C22×C13911yescharacteristic
849#397C22×C13911yescharacteristic, complemented
850#397C22×C13911yescharacteristic, complemented
851#397C22×C13911yescharacteristic, complemented
852#397C22×C13911yescharacteristic, complemented
853#397C22×C13911yescharacteristic, complemented
854#397C22×C13911yescharacteristic, complemented
855#396C22×C13911yescharacteristic, complemented
856#396C22×C13911yescharacteristic, complemented
857#396C22×C13911yescharacteristic, complemented
858#395C22×C13911yescharacteristic, complemented
859#394C22×C13911yescharacteristic
860#394C22×C13911yescharacteristic
861#394C22×C13911yescharacteristic
862#394C22×C13911yescharacteristic
863#394C22×C13911yescharacteristic
864#394C22×C13911yescharacteristic
865#394C22×C13911yescharacteristic
866#394C22×C13911yescharacteristic
867#394C22×C13911yescharacteristic, complemented
868#394C22×C13911yescharacteristic, complemented
869#393C22×C13911yescharacteristic, complemented
870#391C22×C13911yescharacteristic, complemented
871#390C22×C13911yescharacteristic
872#390C22×C13911yescharacteristic
873#390C22×C13911yescharacteristic
874#390C22×C13911yescharacteristic
875#389C22×C13911yescharacteristic, complemented
876#389C22×C13911yescharacteristic, complemented
877#389C22×C13911yescharacteristic, complemented
878#388C22×C13911yescharacteristic
879#388C22×C13911yescharacteristic
880#388C22×C13911yescharacteristic
881#388C22×C13911yescharacteristic
882#388C22×C13911yescharacteristic
883#388C22×C13911yescharacteristic
884#388C22×C13911yescharacteristic
885#388C22×C13911yescharacteristic
886#388C22×C13911yescharacteristic, complemented
887#388C22×C13911yescharacteristic, complemented
888#388C22×C13911yescharacteristic, complemented
889#388C22×C13911yescharacteristic, complemented
890#388C22×C13911yescharacteristic, complemented
891#387C22×C13911yescharacteristic, complemented
892#387C22×C13911yescharacteristic, complemented
893#387C22×C13911yescharacteristic, complemented
894#387C22×C13911yescharacteristic, complemented
895#387C22×C13911yescharacteristic, complemented
896#387C22×C13911yescharacteristic, complemented
897#387C22×C13911yescharacteristic, complemented
898#387C22×C13911yescharacteristic, complemented
899#387C22×C13911yescharacteristic, complemented
900#387C22×C13911yescharacteristic, complemented
901#387C22×C13911yescharacteristic, complemented
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, complemented
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
930#385C22×C13911yescharacteristic
931#385C22×C13911yescharacteristic
932#385C22×C13911yescharacteristic
933#385C22×C13911yescharacteristic
934#385C22×C13911yescharacteristic
935#385C22×C13911yescharacteristic
936#385C22×C13911yescharacteristic
937#385C22×C13911yescharacteristic
938#385C22×C13911yescharacteristic
939#385C22×C13911yescharacteristic, complemented
940#385C22×C13911yescharacteristic, complemented
941#385C22×C13911yescharacteristic, complemented
942#383C22×C13911yescharacteristic, complemented
943#382C22×C13911yescharacteristic, complemented
944#381C22×C13911yescharacteristic, complemented
945#380C22×C13911yescharacteristic
946#380C22×C13911yescharacteristic
947#380C22×C13911yescharacteristic
948#380C22×C13911yescharacteristic
949#380C22×C13911yescharacteristic
950#380C22×C13911yescharacteristic
951#380C22×C13911yescharacteristic, complemented
952#379C22×C13911yescharacteristic
953#379C22×C13911yescharacteristic
954C4×C22⋊C4C22×C13911yescharacteristic
955C4×C22⋊C4C22×C13911yescharacteristic
956C2×#95C22×C13911yescharacteristic
957C2×#95C22×C13911yescharacteristic
958C25C23×C13911yescharacteristic
959C22×Q8C23×C13911yescharacteristic
960C22×D4C23×C13911yescharacteristic
961C22×D4C23×C13911yescharacteristic
962C22×D4C23×C13911yescharacteristic
963C22×D4C23×C13911yescharacteristic
964C22×D4C23×C13911yescharacteristic
965C22×D4C23×C13911yescharacteristic
966C22×D4C23×C13911yescharacteristic
967C23×C4—42no—
968C23×C4—42no—
969C23×C4—42no—
970C23×C4C23×C13911yescharacteristic
971C23×C4C23×C13911yescharacteristic
972C23×C4C23×C13911yescharacteristic
973C23×C4C23×C13911yescharacteristic
974C23×C4C23×C13911yescharacteristic
975C23×C4C23×C13911yescharacteristic
976C23×C4C23×C13911yescharacteristic
977C23×C4C23×C13911yescharacteristic
978C23×C4C23×C13911yescharacteristic
979C23×C4C23×C13911yescharacteristic
980C23×C4C23×C13911yescharacteristic
981C23×C4C23×C13911yescharacteristic
982#126—42no—
983#125—42no—
984#123—42no—
985C22⋊Q8—42no—
986C22⋊Q8—42no—
987C22⋊Q8—42no—
988C22⋊Q8—42no—
989#121—42no—
990#121—42no—
991#121—42no—
992#120—24no—
993#120—24no—
994C4×D4—42no—
995C4×D4—42no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—42no—
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×C4⋊C4C23×C13911yescharacteristic
1031C2×C4⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4—24no—
1033C2×C22⋊C4—42no—
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
1086#95C23×C13911yescharacteristic
1087#95C23×C13911yescharacteristic
1088#95C23×C13911yescharacteristic
1089#95C23×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
1130#95C23×C13911yescharacteristic
1131#95C23×C13911yescharacteristic
1132#95C23×C13911yescharacteristic
1133#95C23×C13911yescharacteristic
1134C24—22no—
1135C24—22no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24—41no—
1140C24#41×C13914yes—
1141C24C24×C13911yescharacteristic
1142C24C24×C13911yescharacteristic
1143C24C24×C13911yescharacteristic
1144C24C24×C13911yescharacteristic
1145C24C24×C13911yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
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—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—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—416no—
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
1217C22×C4C24×C13911yescharacteristic
1218C22×C4C24×C13911yescharacteristic
1219C22×C4C24×C13911yescharacteristic
1220C22×C4C24×C13911yescharacteristic
1221C22×C4C24×C13911yescharacteristic
1222C22×C4C24×C13911yescharacteristic
1223C22×C4C24×C13911yescharacteristic
1224C22×C4C24×C13911yescharacteristic
1225C22×C4C24×C13911yescharacteristic
1226C22×C4C24×C13911yescharacteristic
1227C22×C4C24×C13911yescharacteristic
1228C22×C4C24×C13911yescharacteristic
1229C22×C4C24×C13911yescharacteristic
1230C22×C4C24×C13911yescharacteristic
1231C22×C4C24×C13911yescharacteristic
1232C22×C4C24×C13911yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
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—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
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—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—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
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—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×#41×C13912yes—
1357C23C2×#41×C13912yes—
1358C23C2×#41×C13912yes—
1359C23H(5,𝔽2)×C13912yes—
1360C232−1+4×C13912yes—
1361C23C25×C13911yescharacteristic
1362Q8—82no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
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—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4H(5,𝔽2)×C13912yes—
1459C2×C4H(5,𝔽2)×C13912yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
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—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22#539×C13914yes—
1496C22C22×#41×C13911yescharacteristic
1497C22C2×H(5,𝔽2)×C13911yescharacteristic
1498C22C2×H(5,𝔽2)×C13911yescharacteristic
1499C22C2×H(5,𝔽2)×C13911yescharacteristic
1500C22C2×2−1+4×C13911yescharacteristic
1501C22#585×C13911yescharacteristic
1502C22#585×C13911yescharacteristic
1503C4—22no—
1504C4—22no—
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—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C2×#539×C13911yescharacteristic
1535C2#3505×C13911yescharacteristic
1536C2#3505×C13911yescharacteristic
1537C2#3532×C13911yescharacteristic
1538C2#3533×C13911yescharacteristic
1539C2#3541×C13911yescharacteristic
1540C2#3541×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2847×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2848×C139C2semidirect
3. #2796×C139C2semidirect
4. #2787×C139C2semidirect
5. #2786×C139C2semidirect
6. #2782×C139C2semidirect
7. #2770×C139C2semidirect
8. #2757×C139C2semidirect
9. #2750×C139C2semidirect
10. #2747×C139C2semidirect
11. #2746×C139C2semidirect
12. #2728×C139C2semidirect
13. #2723×C139C2semidirect
14. #2711×C139C2semidirect
15. #2708×C139C2semidirect
16. #2691×C139C2semidirect
17. #2690×C139C2semidirect
18. #2681×C139C2semidirect
19. #2622×C139C2semidirect
20. #2622×C139C2semidirect
21. #2510×C139C2semidirect
22. #2505×C139C2semidirect
23. #2481×C139C2semidirect
24. #2473×C139C2semidirect
25. #2450×C139C2semidirect
26. #2449×C139C2semidirect
27. #2444×C139C2semidirect
28. #2443×C139C2semidirect
29. #2321×C139C2semidirect
30. #2321×C139C2semidirect
31. C2×#385×C139C2semidirect
33. C2×#126×C139C22semidirect
34. C2×#125×C139C22semidirect
35. C2×#123×C139C22semidirect
39. C2×C22⋊Q8×C139C22semidirect
51. #401×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #400×C139C22semidirect
59. #400×C139C22semidirect
60. #400×C139C22semidirect
61. #399×C139C22semidirect
62. #399×C139C22semidirect
63. #398×C139C22semidirect
64. #398×C139C22semidirect
65. #398×C139C22semidirect
66. #398×C139C22semidirect
67. #398×C139C22semidirect
68. #398×C139C22semidirect
69. #398×C139C22semidirect
78. #397×C139C22semidirect
79. #397×C139C22semidirect
80. #397×C139C22semidirect
81. #397×C139C22semidirect
82. #397×C139C22semidirect
83. #397×C139C22semidirect
84. #396×C139C22semidirect
85. #396×C139C22semidirect
86. #396×C139C22semidirect
87. #395×C139C22semidirect
96. #394×C139C22semidirect
97. #394×C139C22semidirect
98. #393×C139C22semidirect
99. #391×C139C22semidirect
104. #389×C139C22semidirect
105. #389×C139C22semidirect
106. #389×C139C22semidirect
115. #388×C139C22semidirect
116. #388×C139C22semidirect
117. #388×C139C22semidirect
118. #388×C139C22semidirect
119. #388×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
147. #386×C139C22semidirect
168. #385×C139C22semidirect
169. #385×C139C22semidirect
170. #385×C139C22semidirect
171. #383×C139C22semidirect
172. #382×C139C22semidirect
173. #381×C139C22semidirect
180. #380×C139C22semidirect
770. #36757C139direct (N × H)
771. C139#36757direct (N × H)
772. #2848C2×C139semidirect
774. #2796C2×C139semidirect
775. #2787C2×C139semidirect
776. #2786C2×C139semidirect
777. #2782C2×C139semidirect
778. #2770C2×C139semidirect
779. #2757C2×C139semidirect
780. #2750C2×C139semidirect
781. #2747C2×C139semidirect
782. #2746C2×C139semidirect
783. #2728C2×C139semidirect
784. #2723C2×C139semidirect
785. #2711C2×C139semidirect
786. #2708C2×C139semidirect
787. #2691C2×C139semidirect
788. #2690C2×C139semidirect
789. #2681C2×C139semidirect
790. #2622C2×C139semidirect
791. #2622C2×C139semidirect
792. #2510C2×C139semidirect
793. #2505C2×C139semidirect
794. #2481C2×C139semidirect
795. #2473C2×C139semidirect
796. #2450C2×C139semidirect
797. #2449C2×C139semidirect
798. #2444C2×C139semidirect
799. #2443C2×C139semidirect
800. #2321C2×C139semidirect
801. #2321C2×C139semidirect
802. C2×#385C2×C139semidirect
804. C2×#126C22×C139semidirect
805. C2×#125C22×C139semidirect
806. C2×#123C22×C139semidirect
810. C2×C22⋊Q8C22×C139semidirect
822. #401C22×C139semidirect
823. #400C22×C139semidirect
824. #400C22×C139semidirect
825. #400C22×C139semidirect
826. #400C22×C139semidirect
827. #400C22×C139semidirect
828. #400C22×C139semidirect
829. #400C22×C139semidirect
830. #400C22×C139semidirect
831. #400C22×C139semidirect
832. #399C22×C139semidirect
833. #399C22×C139semidirect
834. #398C22×C139semidirect
835. #398C22×C139semidirect
836. #398C22×C139semidirect
837. #398C22×C139semidirect
838. #398C22×C139semidirect
839. #398C22×C139semidirect
840. #398C22×C139semidirect
849. #397C22×C139semidirect
850. #397C22×C139semidirect
851. #397C22×C139semidirect
852. #397C22×C139semidirect
853. #397C22×C139semidirect
854. #397C22×C139semidirect
855. #396C22×C139semidirect
856. #396C22×C139semidirect
857. #396C22×C139semidirect
858. #395C22×C139semidirect
867. #394C22×C139semidirect
868. #394C22×C139semidirect
869. #393C22×C139semidirect
870. #391C22×C139semidirect
875. #389C22×C139semidirect
876. #389C22×C139semidirect
877. #389C22×C139semidirect
886. #388C22×C139semidirect
887. #388C22×C139semidirect
888. #388C22×C139semidirect
889. #388C22×C139semidirect
890. #388C22×C139semidirect
891. #387C22×C139semidirect
892. #387C22×C139semidirect
893. #387C22×C139semidirect
894. #387C22×C139semidirect
895. #387C22×C139semidirect
896. #387C22×C139semidirect
897. #387C22×C139semidirect
898. #387C22×C139semidirect
899. #387C22×C139semidirect
900. #387C22×C139semidirect
901. #387C22×C139semidirect
918. #386C22×C139semidirect
939. #385C22×C139semidirect
940. #385C22×C139semidirect
941. #385C22×C139semidirect
942. #383C22×C139semidirect
943. #382C22×C139semidirect
944. #381C22×C139semidirect
951. #380C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2848×C1392
#2847×C1392
#2796×C1392
#2787×C1392
#2786×C1392
#2782×C1392
#2770×C1392
#2757×C1392
#2750×C1392
#2747×C1392
#2746×C1392
#2728×C1392
#2723×C1392
#2711×C1392
#2708×C1392
#2691×C1392
#2690×C1392
#2681×C1392
#2622×C1392
#2510×C1392
#2505×C1392
#2481×C1392
#2473×C1392
#2450×C1392
#2449×C1392
#2444×C1392
#2443×C1392
#2321×C1392
C2×#385×C1392
#36757139