Finite Group Databasebeta

← C139×#36331 #48030927

Subgroups — C139×#36331 #48030927

Order 35584.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2854×C139C211yesmaximal, characteristic, complemented
2#2852×C139C211yesmaximal, characteristic, complemented
3#2849×C139C211yesmaximal, characteristic, complemented
4#2608×C139C211yesmaximal, characteristic, complemented
5#2602×C139C211yesmaximal, characteristic, complemented
6#2597×C139C211yesmaximal, characteristic, complemented
7#2595×C139C211yesmaximal, characteristic, complemented
8#2587×C139C211yesmaximal, characteristic, complemented
9#2573×C139C211yesmaximal, characteristic, complemented
10#2559×C139C211yesmaximal, characteristic, complemented
11#2554×C139C211yesmaximal, characteristic, complemented
12#2526×C139C211yesmaximal, characteristic, complemented
13#2518×C139C211yesmaximal, characteristic, complemented
14#2505×C139C211yesmaximal, characteristic, complemented
15#2480×C139C211yesmaximal, characteristic, complemented
16#2470×C139C211yesmaximal, characteristic, complemented
17#2466×C139C211yesmaximal, characteristic, complemented
18#2444×C139C211yesmaximal, characteristic, complemented
19#2424×C139C211yesmaximal, characteristic
20#2411×C139C211yesmaximal, characteristic, complemented
21#2411×C139C211yesmaximal, characteristic, complemented
22#2374×C139C211yesmaximal, characteristic, complemented
23#2373×C139C211yesmaximal, characteristic, complemented
24#2363×C139C211yesmaximal, characteristic, complemented
25#2359×C139C211yesmaximal, characteristic, complemented
26#2359×C139C211yesmaximal, characteristic, complemented
27#2357×C139C211yesmaximal, characteristic, complemented
28C4×#120×C139C211yesmaximal, characteristic, complemented
29#2296×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic, complemented
35C2×#123×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×#121×C139C2211yescharacteristic
40C2×#121×C139C2211yescharacteristic
41C2×#120×C139C2211yescharacteristic
42C2×#120×C139C2211yescharacteristic
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×#117×C139C2211yescharacteristic
48C2×#117×C139C2211yescharacteristic
49C2×#117×C139C2211yescharacteristic, complemented
50C22×C22⋊C4×C139C2211yescharacteristic
51C22×C22⋊C4×C139C2211yescharacteristic
52C22×C42×C139C2211yescharacteristic
53C22×C42×C139C2211yescharacteristic
54#400×C139C2211yescharacteristic, complemented
55#400×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#400×C139C2211yescharacteristic, complemented
58#398×C139C2211yescharacteristic, complemented
59#397×C139C2211yescharacteristic
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic, complemented
63#397×C139C2211yescharacteristic, complemented
64#396×C139C2211yescharacteristic
65#396×C139C2211yescharacteristic
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#396×C139C2211yescharacteristic
69#396×C139C2211yescharacteristic
70#394×C139C2211yescharacteristic
71#394×C139C2211yescharacteristic
72#394×C139C2211yescharacteristic
73#394×C139C2211yescharacteristic
74#394×C139C2211yescharacteristic
75#394×C139C2211yescharacteristic
76#394×C139C2211yescharacteristic, complemented
77#392×C139C2211yescharacteristic
78#390×C139C2211yescharacteristic
79#390×C139C2211yescharacteristic
80#390×C139C2211yescharacteristic
81#390×C139C2211yescharacteristic
82#390×C139C2211yescharacteristic
83#390×C139C2211yescharacteristic, complemented
84#390×C139C2211yescharacteristic, complemented
85#389×C139C2211yescharacteristic, complemented
86#389×C139C2211yescharacteristic, complemented
87#389×C139C2211yescharacteristic, complemented
88#389×C139C2211yescharacteristic, complemented
89#389×C139C2211yescharacteristic, complemented
90#389×C139C2211yescharacteristic, complemented
91#389×C139C2211yescharacteristic, complemented
92#389×C139C2211yescharacteristic, complemented
93#389×C139C2211yescharacteristic, complemented
94#388×C139C2211yescharacteristic
95#388×C139C2211yescharacteristic
96#388×C139C2211yescharacteristic
97#388×C139C2211yescharacteristic
98#388×C139C2211yescharacteristic
99#388×C139C2211yescharacteristic
100#388×C139C2211yescharacteristic
101#388×C139C2211yescharacteristic
102#388×C139C2211yescharacteristic, complemented
103#388×C139C2211yescharacteristic, complemented
104#388×C139C2211yescharacteristic, complemented
105#388×C139C2211yescharacteristic, complemented
106#388×C139C2211yescharacteristic, complemented
107#388×C139C2211yescharacteristic, complemented
108#388×C139C2211yescharacteristic, complemented
109#388×C139C2211yescharacteristic, complemented
110#388×C139C2211yescharacteristic, complemented
111#388×C139C2211yescharacteristic, complemented
112#388×C139C2211yescharacteristic, complemented
113#388×C139C2211yescharacteristic, complemented
114#388×C139C2211yescharacteristic, complemented
115#388×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
118#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#386×C139C2211yescharacteristic
129#386×C139C2211yescharacteristic
130#386×C139C2211yescharacteristic
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic, complemented
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#385×C139C2211yescharacteristic
146#385×C139C2211yescharacteristic
147#385×C139C2211yescharacteristic
148#385×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic, complemented
153#385×C139C2211yescharacteristic, complemented
154#383×C139C2211yescharacteristic, complemented
155#382×C139C2211yescharacteristic, complemented
156#381×C139C2211yescharacteristic
157#381×C139C2211yescharacteristic
158#381×C139C2211yescharacteristic, complemented
159#380×C139C2211yescharacteristic
160#379×C139C2211yescharacteristic
161#379×C139C2211yescharacteristic
162C4×C4⋊C4×C139C2211yescharacteristic, complemented
163C4×C4⋊C4×C139C2211yescharacteristic, complemented
164C4×C4⋊C4×C139C2211yescharacteristic, complemented
165C4×C4⋊C4×C139C2211yescharacteristic, complemented
166C4×C4⋊C4×C139C2211yescharacteristic, complemented
167C4×C4⋊C4×C139C2211yescharacteristic, complemented
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C22⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184#376×C139C2211yescharacteristic, complemented
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C23×C4×C139—24no—
196C23×C4×C139—42no—
197C23×C4×C139—42no—
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210#126×C139—24no—
211#126×C139—42no—
212#123×C139—24no—
213#123×C139—24no—
214#123×C139—24no—
215#123×C139—42no—
216#121×C139—24no—
217#121×C139—42no—
218#120×C139—24no—
219#120×C139—42no—
220C4×D4×C139—24no—
221C4×D4×C139—24no—
222C4×D4×C139—42no—
223C4×D4×C139—42no—
224#117×C139—24no—
225#117×C139—42no—
226#117×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×C22⋊C4×C139—24no—
257C2×C22⋊C4×C139—24no—
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×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×C42×C139—42no—
305C2×C42×C139—42no—
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323C2×C42×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366C24×C139—22no—
367C24×C139—22no—
368C24×C139—22no—
369C24×C139—22no—
370C24×C139—22no—
371C24×C139—41no—
372C24×C139—41no—
373C24×C139C2411yescharacteristic
374C24×C139C2411yescharacteristic
375C24×C139C2411yescharacteristic
376C24×C139C2411yescharacteristic
377C24×C139C2411yescharacteristic
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—22no—
390C2×D4×C139—22no—
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—22no—
412C22×C4×C139—22no—
413C22×C4×C139—22no—
414C22×C4×C139—22no—
415C22×C4×C139—22no—
416C22×C4×C139—22no—
417C22×C4×C139—22no—
418C22×C4×C139—22no—
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—416no—
434C22×C4×C139#4114yes—
435C22×C4×C139#4114yes—
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—22no—
471C4⋊C4×C139—22no—
472C4⋊C4×C139—22no—
473C4⋊C4×C139—22no—
474C4⋊C4×C139—22no—
475C4⋊C4×C139—22no—
476C4⋊C4×C139—22no—
477C4⋊C4×C139—22no—
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—
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—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—22no—
513C22⋊C4×C139—22no—
514C22⋊C4×C139—22no—
515C22⋊C4×C139—22no—
516C22⋊C4×C139—22no—
517C22⋊C4×C139—22no—
518C22⋊C4×C139—22no—
519C22⋊C4×C139—22no—
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#4114yes—
536C22⋊C4×C139#4114yes—
537C42×C139—22no—
538C42×C139—22no—
539C42×C139—22no—
540C42×C139—22no—
541C42×C139—22no—
542C42×C139—22no—
543C42×C139—22no—
544C42×C139—41no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139—41no—
548C42×C139—41no—
549C42×C139—41no—
550C42×C139—41no—
551C42×C139—41no—
552C42×C139—41no—
553C42×C139—41no—
554C42×C139—41no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—28no—
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—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—44no—
587C23×C139—44no—
588C23×C139—44no—
589C23×C139—44no—
590C23×C139—44no—
591C23×C139—44no—
592C23×C139C2×#4112yes—
593C23×C139C2×#4112yes—
594C23×C139C2×#4112yes—
595C23×C139C2×#4112yes—
596C23×C139H(5,𝔽2)12yes—
597C23×C139C2511yescharacteristic
598D4×C139—44no—
599D4×C139—44no—
600D4×C139—44no—
601D4×C139—44no—
602D4×C139—82no—
603D4×C139—82no—
604D4×C139—82no—
605C2×C4×C139—28no—
606C2×C4×C139—28no—
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—21no—
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—44no—
684C2×C4×C139—44no—
685C2×C4×C139—82no—
686C2×C4×C139C2×#4112yes—
687C2×C4×C139C2×#4112yes—
688C2×C4×C139C2×#4112yes—
689C2×C4×C139C2×#4112yes—
690C2×C4×C139C2×#4112yes—
691C2×C4×C139C2×#4112yes—
692C2×C4×C139C2×#4112yes—
693C2×C4×C139C2×#4112yes—
694C2×C4×C139H(5,𝔽2)12yes—
695C22×C139—22no—
696C22×C139—22no—
697C22×C139—22no—
698C22×C139—22no—
699C22×C139—22no—
700C22×C139—22no—
701C22×C139—22no—
702C22×C139—22no—
703C22×C139—22no—
704C22×C139—22no—
705C22×C139—22no—
706C22×C139—22no—
707C22×C139—416no—
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—41no—
725C22×C139—41no—
726C22×C139—41no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139#55314yes—
731C22×C139C22×#4111yescharacteristic
732C22×C139C22×#4111yescharacteristic
733C22×C139C22×#4111yescharacteristic
734C22×C139C22×#4111yescharacteristic
735C22×C139C2×H(5,𝔽2)11yescharacteristic
736C22×C139C2×H(5,𝔽2)11yescharacteristic
737C22×C139#58511yescharacteristic
738C4×C139—22no—
739C4×C139—22no—
740C4×C139—22no—
741C4×C139—22no—
742C4×C139—22no—
743C4×C139—22no—
744C4×C139—22no—
745C4×C139—22no—
746C4×C139—22no—
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—
758C4×C139—41no—
759C4×C139—41no—
760C4×C139—41no—
761C4×C139—41no—
762C4×C139—41no—
763C4×C139—41no—
764C2×C139—24no—
765C2×C139—42no—
766C2×C139—42no—
767C2×C139—81no—
768C2×C139—81no—
769C2×C139#344411yescharacteristic
770C2×C139C2×#55311yescharacteristic
771C2×C139#347511yescharacteristic
772C2×C139#348111yescharacteristic
773C2×C139#349011yescharacteristic
774C2×C139#350611yescharacteristic
775C2×C139#351311yescharacteristic
776#36331C13911yesmaximal, characteristic, direct product factor, Sylow
777C139#3633111yescharacteristic, direct product factor, Sylow
778#2854C2×C13911yescharacteristic, complemented
779#2852C2×C13911yescharacteristic, complemented
780#2849C2×C13911yescharacteristic, complemented
781#2608C2×C13911yescharacteristic, complemented
782#2602C2×C13911yescharacteristic, complemented
783#2597C2×C13911yescharacteristic, complemented
784#2595C2×C13911yescharacteristic, complemented
785#2587C2×C13911yescharacteristic, complemented
786#2573C2×C13911yescharacteristic, complemented
787#2559C2×C13911yescharacteristic, complemented
788#2554C2×C13911yescharacteristic, complemented
789#2526C2×C13911yescharacteristic, complemented
790#2518C2×C13911yescharacteristic, complemented
791#2505C2×C13911yescharacteristic, complemented
792#2480C2×C13911yescharacteristic, complemented
793#2470C2×C13911yescharacteristic, complemented
794#2466C2×C13911yescharacteristic, complemented
795#2444C2×C13911yescharacteristic, complemented
796#2424C2×C13911yescharacteristic
797#2411C2×C13911yescharacteristic, complemented
798#2411C2×C13911yescharacteristic, complemented
799#2374C2×C13911yescharacteristic, complemented
800#2373C2×C13911yescharacteristic, complemented
801#2363C2×C13911yescharacteristic, complemented
802#2359C2×C13911yescharacteristic, complemented
803#2359C2×C13911yescharacteristic, complemented
804#2357C2×C13911yescharacteristic, complemented
805C4×#120C2×C13911yescharacteristic, complemented
806#2296C2×C13911yescharacteristic, complemented
807#2290C2×C13911yescharacteristic, complemented
808C2×C4×C22⋊C4C2×C13911yescharacteristic, complemented
809C24×C4C22×C13911yescharacteristic
810C2×#126C22×C13911yescharacteristic
811C2×#126C22×C13911yescharacteristic, complemented
812C2×#123C22×C13911yescharacteristic
813C2×#123C22×C13911yescharacteristic
814C2×#123C22×C13911yescharacteristic
815C2×#123C22×C13911yescharacteristic
816C2×#121C22×C13911yescharacteristic
817C2×#121C22×C13911yescharacteristic
818C2×#120C22×C13911yescharacteristic
819C2×#120C22×C13911yescharacteristic
820C2×C4×D4C22×C13911yescharacteristic
821C2×C4×D4C22×C13911yescharacteristic
822C2×C4×D4C22×C13911yescharacteristic
823C2×C4×D4C22×C13911yescharacteristic
824C2×#117C22×C13911yescharacteristic
825C2×#117C22×C13911yescharacteristic
826C2×#117C22×C13911yescharacteristic, complemented
827C22×C22⋊C4C22×C13911yescharacteristic
828C22×C22⋊C4C22×C13911yescharacteristic
829C22×C42C22×C13911yescharacteristic
830C22×C42C22×C13911yescharacteristic
831#400C22×C13911yescharacteristic, complemented
832#400C22×C13911yescharacteristic, complemented
833#400C22×C13911yescharacteristic, complemented
834#400C22×C13911yescharacteristic, complemented
835#398C22×C13911yescharacteristic, complemented
836#397C22×C13911yescharacteristic
837#397C22×C13911yescharacteristic
838#397C22×C13911yescharacteristic
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
847#394C22×C13911yescharacteristic
848#394C22×C13911yescharacteristic
849#394C22×C13911yescharacteristic
850#394C22×C13911yescharacteristic
851#394C22×C13911yescharacteristic
852#394C22×C13911yescharacteristic
853#394C22×C13911yescharacteristic, complemented
854#392C22×C13911yescharacteristic
855#390C22×C13911yescharacteristic
856#390C22×C13911yescharacteristic
857#390C22×C13911yescharacteristic
858#390C22×C13911yescharacteristic
859#390C22×C13911yescharacteristic
860#390C22×C13911yescharacteristic, complemented
861#390C22×C13911yescharacteristic, complemented
862#389C22×C13911yescharacteristic, complemented
863#389C22×C13911yescharacteristic, complemented
864#389C22×C13911yescharacteristic, complemented
865#389C22×C13911yescharacteristic, complemented
866#389C22×C13911yescharacteristic, complemented
867#389C22×C13911yescharacteristic, complemented
868#389C22×C13911yescharacteristic, complemented
869#389C22×C13911yescharacteristic, complemented
870#389C22×C13911yescharacteristic, complemented
871#388C22×C13911yescharacteristic
872#388C22×C13911yescharacteristic
873#388C22×C13911yescharacteristic
874#388C22×C13911yescharacteristic
875#388C22×C13911yescharacteristic
876#388C22×C13911yescharacteristic
877#388C22×C13911yescharacteristic
878#388C22×C13911yescharacteristic
879#388C22×C13911yescharacteristic, complemented
880#388C22×C13911yescharacteristic, complemented
881#388C22×C13911yescharacteristic, complemented
882#388C22×C13911yescharacteristic, complemented
883#388C22×C13911yescharacteristic, complemented
884#388C22×C13911yescharacteristic, complemented
885#388C22×C13911yescharacteristic, complemented
886#388C22×C13911yescharacteristic, complemented
887#388C22×C13911yescharacteristic, complemented
888#388C22×C13911yescharacteristic, complemented
889#388C22×C13911yescharacteristic, complemented
890#388C22×C13911yescharacteristic, complemented
891#388C22×C13911yescharacteristic, complemented
892#388C22×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#387C22×C13911yescharacteristic, complemented
903#387C22×C13911yescharacteristic, complemented
904#387C22×C13911yescharacteristic, complemented
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, complemented
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#383C22×C13911yescharacteristic, complemented
932#382C22×C13911yescharacteristic, complemented
933#381C22×C13911yescharacteristic
934#381C22×C13911yescharacteristic
935#381C22×C13911yescharacteristic, complemented
936#380C22×C13911yescharacteristic
937#379C22×C13911yescharacteristic
938#379C22×C13911yescharacteristic
939C4×C4⋊C4C22×C13911yescharacteristic, complemented
940C4×C4⋊C4C22×C13911yescharacteristic, complemented
941C4×C4⋊C4C22×C13911yescharacteristic, complemented
942C4×C4⋊C4C22×C13911yescharacteristic, complemented
943C4×C4⋊C4C22×C13911yescharacteristic, complemented
944C4×C4⋊C4C22×C13911yescharacteristic, complemented
945C4×C4⋊C4C22×C13911yescharacteristic, complemented
946C4×C22⋊C4C22×C13911yescharacteristic
947C4×C22⋊C4C22×C13911yescharacteristic
948C4×C22⋊C4C22×C13911yescharacteristic
949C4×C22⋊C4C22×C13911yescharacteristic
950C4×C22⋊C4C22×C13911yescharacteristic
951C4×C22⋊C4C22×C13911yescharacteristic
952C4×C22⋊C4C22×C13911yescharacteristic
953C4×C22⋊C4C22×C13911yescharacteristic
954C4×C22⋊C4C22×C13911yescharacteristic
955C4×C22⋊C4C22×C13911yescharacteristic
956C4×C22⋊C4C22×C13911yescharacteristic
957C4×C22⋊C4C22×C13911yescharacteristic
958C4×C22⋊C4C22×C13911yescharacteristic, complemented
959C4×C22⋊C4C22×C13911yescharacteristic, complemented
960C4×C22⋊C4C22×C13911yescharacteristic, complemented
961#376C22×C13911yescharacteristic, complemented
962C2×#95C22×C13911yescharacteristic
963C2×#95C22×C13911yescharacteristic
964C25C23×C13911yescharacteristic
965C22×D4C23×C13911yescharacteristic
966C22×D4C23×C13911yescharacteristic
967C22×D4C23×C13911yescharacteristic
968C22×D4C23×C13911yescharacteristic
969C22×D4C23×C13911yescharacteristic
970C22×D4C23×C13911yescharacteristic
971C22×D4C23×C13911yescharacteristic
972C23×C4—24no—
973C23×C4—42no—
974C23×C4—42no—
975C23×C4C23×C13911yescharacteristic
976C23×C4C23×C13911yescharacteristic
977C23×C4C23×C13911yescharacteristic
978C23×C4C23×C13911yescharacteristic
979C23×C4C23×C13911yescharacteristic
980C23×C4C23×C13911yescharacteristic
981C23×C4C23×C13911yescharacteristic
982C23×C4C23×C13911yescharacteristic
983C23×C4C23×C13911yescharacteristic
984C23×C4C23×C13911yescharacteristic
985C23×C4C23×C13911yescharacteristic
986C23×C4C23×C13911yescharacteristic
987#126—24no—
988#126—42no—
989#123—24no—
990#123—24no—
991#123—24no—
992#123—42no—
993#121—24no—
994#121—42no—
995#120—24no—
996#120—42no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—42no—
1000C4×D4—42no—
1001#117—24no—
1002#117—42no—
1003#117—42no—
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×C4⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4—24no—
1034C2×C22⋊C4—24no—
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×C22⋊C4C23×C13911yescharacteristic
1081C2×C42—42no—
1082C2×C42—42no—
1083C2×C42C23×C13911yescharacteristic
1084C2×C42C23×C13911yescharacteristic
1085C2×C42C23×C13911yescharacteristic
1086C2×C42C23×C13911yescharacteristic
1087C2×C42C23×C13911yescharacteristic
1088C2×C42C23×C13911yescharacteristic
1089C2×C42C23×C13911yescharacteristic
1090C2×C42C23×C13911yescharacteristic
1091C2×C42C23×C13911yescharacteristic
1092C2×C42C23×C13911yescharacteristic
1093C2×C42C23×C13911yescharacteristic
1094C2×C42C23×C13911yescharacteristic
1095C2×C42C23×C13911yescharacteristic
1096C2×C42C23×C13911yescharacteristic
1097C2×C42C23×C13911yescharacteristic
1098C2×C42C23×C13911yescharacteristic
1099C2×C42C23×C13911yescharacteristic
1100C2×C42C23×C13911yescharacteristic
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
1134#95C23×C13911yescharacteristic
1135#95C23×C13911yescharacteristic
1136#95C23×C13911yescharacteristic
1137#95C23×C13911yescharacteristic
1138#95C23×C13911yescharacteristic
1139#95C23×C13911yescharacteristic
1140#95C23×C13911yescharacteristic
1141#95C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143C24—22no—
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—22no—
1148C24—41no—
1149C24—41no—
1150C24C24×C13911yescharacteristic
1151C24C24×C13911yescharacteristic
1152C24C24×C13911yescharacteristic
1153C24C24×C13911yescharacteristic
1154C24C24×C13911yescharacteristic
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—416no—
1211C22×C4#41×C13914yes—
1212C22×C4#41×C13914yes—
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
1233C22×C4C24×C13911yescharacteristic
1234C22×C4C24×C13911yescharacteristic
1235C22×C4C24×C13911yescharacteristic
1236C22×C4C24×C13911yescharacteristic
1237C22×C4C24×C13911yescharacteristic
1238C22×C4C24×C13911yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
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—
1267C4⋊C4—41no—
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—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
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#41×C13914yes—
1313C22⋊C4#41×C13914yes—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—28no—
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—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23C2×#41×C13912yes—
1370C23C2×#41×C13912yes—
1371C23C2×#41×C13912yes—
1372C23C2×#41×C13912yes—
1373C23H(5,𝔽2)×C13912yes—
1374C23C25×C13911yescharacteristic
1375D4—44no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—82no—
1380D4—82no—
1381D4—82no—
1382C2×C4—28no—
1383C2×C4—28no—
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—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—82no—
1463C2×C4C2×#41×C13912yes—
1464C2×C4C2×#41×C13912yes—
1465C2×C4C2×#41×C13912yes—
1466C2×C4C2×#41×C13912yes—
1467C2×C4C2×#41×C13912yes—
1468C2×C4C2×#41×C13912yes—
1469C2×C4C2×#41×C13912yes—
1470C2×C4C2×#41×C13912yes—
1471C2×C4H(5,𝔽2)×C13912yes—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—416no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22#553×C13914yes—
1508C22C22×#41×C13911yescharacteristic
1509C22C22×#41×C13911yescharacteristic
1510C22C22×#41×C13911yescharacteristic
1511C22C22×#41×C13911yescharacteristic
1512C22C2×H(5,𝔽2)×C13911yescharacteristic
1513C22C2×H(5,𝔽2)×C13911yescharacteristic
1514C22#585×C13911yescharacteristic
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C2—24no—
1542C2—42no—
1543C2—42no—
1544C2—81no—
1545C2—81no—
1546C2#3444×C13911yescharacteristic
1547C2C2×#553×C13911yescharacteristic
1548C2#3475×C13911yescharacteristic
1549C2#3481×C13911yescharacteristic
1550C2#3490×C13911yescharacteristic
1551C2#3506×C13911yescharacteristic
1552C2#3513×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2424×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2854×C139C2semidirect
2. #2852×C139C2semidirect
3. #2849×C139C2semidirect
4. #2608×C139C2semidirect
5. #2602×C139C2semidirect
6. #2597×C139C2semidirect
7. #2595×C139C2semidirect
8. #2587×C139C2semidirect
9. #2573×C139C2semidirect
10. #2559×C139C2semidirect
11. #2554×C139C2semidirect
12. #2526×C139C2semidirect
13. #2518×C139C2semidirect
14. #2505×C139C2semidirect
15. #2480×C139C2semidirect
16. #2470×C139C2semidirect
17. #2466×C139C2semidirect
18. #2444×C139C2semidirect
20. #2411×C139C2semidirect
21. #2411×C139C2semidirect
22. #2374×C139C2semidirect
23. #2373×C139C2semidirect
24. #2363×C139C2semidirect
25. #2359×C139C2semidirect
26. #2359×C139C2semidirect
27. #2357×C139C2semidirect
28. C4×#120×C139C2semidirect
29. #2296×C139C2semidirect
30. #2290×C139C2semidirect
31. C2×C4×C22⋊C4×C139C2semidirect
34. C2×#126×C139C22semidirect
49. C2×#117×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #398×C139C22semidirect
62. #397×C139C22semidirect
63. #397×C139C22semidirect
76. #394×C139C22semidirect
83. #390×C139C22semidirect
84. #390×C139C22semidirect
85. #389×C139C22semidirect
86. #389×C139C22semidirect
87. #389×C139C22semidirect
88. #389×C139C22semidirect
89. #389×C139C22semidirect
90. #389×C139C22semidirect
91. #389×C139C22semidirect
92. #389×C139C22semidirect
93. #389×C139C22semidirect
102. #388×C139C22semidirect
103. #388×C139C22semidirect
104. #388×C139C22semidirect
105. #388×C139C22semidirect
106. #388×C139C22semidirect
107. #388×C139C22semidirect
108. #388×C139C22semidirect
109. #388×C139C22semidirect
110. #388×C139C22semidirect
111. #388×C139C22semidirect
112. #388×C139C22semidirect
113. #388×C139C22semidirect
114. #388×C139C22semidirect
115. #388×C139C22semidirect
116. #387×C139C22semidirect
117. #387×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
139. #386×C139C22semidirect
152. #385×C139C22semidirect
153. #385×C139C22semidirect
154. #383×C139C22semidirect
155. #382×C139C22semidirect
158. #381×C139C22semidirect
162. C4×C4⋊C4×C139C22semidirect
163. C4×C4⋊C4×C139C22semidirect
164. C4×C4⋊C4×C139C22semidirect
165. C4×C4⋊C4×C139C22semidirect
166. C4×C4⋊C4×C139C22semidirect
167. C4×C4⋊C4×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
184. #376×C139C22semidirect
776. #36331C139direct (N × H)
777. C139#36331direct (N × H)
778. #2854C2×C139semidirect
779. #2852C2×C139semidirect
780. #2849C2×C139semidirect
781. #2608C2×C139semidirect
782. #2602C2×C139semidirect
783. #2597C2×C139semidirect
784. #2595C2×C139semidirect
785. #2587C2×C139semidirect
786. #2573C2×C139semidirect
787. #2559C2×C139semidirect
788. #2554C2×C139semidirect
789. #2526C2×C139semidirect
790. #2518C2×C139semidirect
791. #2505C2×C139semidirect
792. #2480C2×C139semidirect
793. #2470C2×C139semidirect
794. #2466C2×C139semidirect
795. #2444C2×C139semidirect
797. #2411C2×C139semidirect
798. #2411C2×C139semidirect
799. #2374C2×C139semidirect
800. #2373C2×C139semidirect
801. #2363C2×C139semidirect
802. #2359C2×C139semidirect
803. #2359C2×C139semidirect
804. #2357C2×C139semidirect
805. C4×#120C2×C139semidirect
806. #2296C2×C139semidirect
807. #2290C2×C139semidirect
808. C2×C4×C22⋊C4C2×C139semidirect
811. C2×#126C22×C139semidirect
826. C2×#117C22×C139semidirect
831. #400C22×C139semidirect
832. #400C22×C139semidirect
833. #400C22×C139semidirect
834. #400C22×C139semidirect
835. #398C22×C139semidirect
839. #397C22×C139semidirect
840. #397C22×C139semidirect
853. #394C22×C139semidirect
860. #390C22×C139semidirect
861. #390C22×C139semidirect
862. #389C22×C139semidirect
863. #389C22×C139semidirect
864. #389C22×C139semidirect
865. #389C22×C139semidirect
866. #389C22×C139semidirect
867. #389C22×C139semidirect
868. #389C22×C139semidirect
869. #389C22×C139semidirect
870. #389C22×C139semidirect
879. #388C22×C139semidirect
880. #388C22×C139semidirect
881. #388C22×C139semidirect
882. #388C22×C139semidirect
883. #388C22×C139semidirect
884. #388C22×C139semidirect
885. #388C22×C139semidirect
886. #388C22×C139semidirect
887. #388C22×C139semidirect
888. #388C22×C139semidirect
889. #388C22×C139semidirect
890. #388C22×C139semidirect
891. #388C22×C139semidirect
892. #388C22×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
902. #387C22×C139semidirect
903. #387C22×C139semidirect
904. #387C22×C139semidirect
916. #386C22×C139semidirect
929. #385C22×C139semidirect
930. #385C22×C139semidirect
931. #383C22×C139semidirect
932. #382C22×C139semidirect
935. #381C22×C139semidirect
939. C4×C4⋊C4C22×C139semidirect
940. C4×C4⋊C4C22×C139semidirect
941. C4×C4⋊C4C22×C139semidirect
942. C4×C4⋊C4C22×C139semidirect
943. C4×C4⋊C4C22×C139semidirect
944. C4×C4⋊C4C22×C139semidirect
945. C4×C4⋊C4C22×C139semidirect
958. C4×C22⋊C4C22×C139semidirect
959. C4×C22⋊C4C22×C139semidirect
960. C4×C22⋊C4C22×C139semidirect
961. #376C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2854×C1392
#2852×C1392
#2849×C1392
#2608×C1392
#2602×C1392
#2597×C1392
#2595×C1392
#2587×C1392
#2573×C1392
#2559×C1392
#2554×C1392
#2526×C1392
#2518×C1392
#2505×C1392
#2480×C1392
#2470×C1392
#2466×C1392
#2444×C1392
#2424×C1392
#2411×C1392
#2374×C1392
#2373×C1392
#2363×C1392
#2359×C1392
#2357×C1392
C4×#120×C1392
#2296×C1392
#2290×C1392
C2×C4×C22⋊C4×C1392
#36331139