Finite Group Databasebeta

← C139×#36320 #48030916

Subgroups — C139×#36320 #48030916

Order 35584.

1948 conjugacy classes of subgroups.

The subgroup lattice has 1472 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2866×C139C211yesmaximal, characteristic, complemented
2#2852×C139C211yesmaximal, characteristic, complemented
3#2851×C139C211yesmaximal, characteristic, complemented
4#2596×C139C211yesmaximal, characteristic, complemented
5#2595×C139C211yesmaximal, characteristic, complemented
6#2594×C139C211yesmaximal, characteristic, complemented
7#2587×C139C211yesmaximal, characteristic, complemented
8#2579×C139C211yesmaximal, characteristic, complemented
9#2577×C139C211yesmaximal, characteristic, complemented
10#2576×C139C211yesmaximal, characteristic, complemented
11#2534×C139C211yesmaximal, characteristic
12#2526×C139C211yesmaximal, characteristic, complemented
13#2519×C139C211yesmaximal, characteristic, complemented
14#2518×C139C211yesmaximal, characteristic, complemented
15#2515×C139C211yesmaximal, characteristic, complemented
16#2493×C139C211yesmaximal, characteristic, complemented
17#2480×C139C211yesmaximal, characteristic, complemented
18#2470×C139C211yesmaximal, characteristic, complemented
19#2460×C139C211yesmaximal, characteristic, complemented
20#2419×C139C211yesmaximal, characteristic, complemented
21#2418×C139C211yesmaximal, characteristic
22#2359×C139C211yesmaximal, characteristic, complemented
23#2358×C139C211yesmaximal, characteristic
24#2345×C139C211yesmaximal, characteristic, complemented
25#2343×C139C211yesmaximal, characteristic, complemented
26#2342×C139C211yesmaximal, characteristic, complemented
27#2342×C139C211yesmaximal, characteristic, complemented
28C4×#123×C139C211yesmaximal, characteristic, complemented
29#2298×C139C211yesmaximal, characteristic, complemented
30C2×#388×C139C211yesmaximal, characteristic, complemented
31C42×D4×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#125×C139C2211yescharacteristic, complemented
34C2×#123×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic
36C2×#120×C139C2211yescharacteristic
37C2×C4×D4×C139C2211yescharacteristic
38C2×C4×D4×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C2×#117×C139C2211yescharacteristic
42C2×#117×C139C2211yescharacteristic
43C22×C4⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C22⋊C4×C139C2211yescharacteristic
46C22×C22⋊C4×C139C2211yescharacteristic
47C22×C22⋊C4×C139C2211yescharacteristic
48C22×C42×C139C2211yescharacteristic
49C22×C42×C139C2211yescharacteristic, complemented
50#401×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#399×C139C2211yescharacteristic
56#398×C139C2211yescharacteristic, complemented
57#398×C139C2211yescharacteristic, complemented
58#398×C139C2211yescharacteristic, complemented
59#397×C139C2211yescharacteristic
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic, complemented
64#397×C139C2211yescharacteristic, complemented
65#396×C139C2211yescharacteristic
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#396×C139C2211yescharacteristic, complemented
69#396×C139C2211yescharacteristic, complemented
70#394×C139C2211yescharacteristic
71#394×C139C2211yescharacteristic
72#394×C139C2211yescharacteristic
73#394×C139C2211yescharacteristic
74#390×C139C2211yescharacteristic
75#389×C139C2211yescharacteristic, complemented
76#389×C139C2211yescharacteristic, complemented
77#389×C139C2211yescharacteristic, complemented
78#389×C139C2211yescharacteristic, complemented
79#389×C139C2211yescharacteristic, complemented
80#388×C139C2211yescharacteristic
81#388×C139C2211yescharacteristic
82#388×C139C2211yescharacteristic
83#388×C139C2211yescharacteristic
84#388×C139C2211yescharacteristic
85#388×C139C2211yescharacteristic
86#388×C139C2211yescharacteristic
87#388×C139C2211yescharacteristic
88#388×C139C2211yescharacteristic
89#388×C139C2211yescharacteristic
90#388×C139C2211yescharacteristic
91#388×C139C2211yescharacteristic
92#388×C139C2211yescharacteristic
93#388×C139C2211yescharacteristic
94#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
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic
105#388×C139C2211yescharacteristic, complemented
106#388×C139C2211yescharacteristic, complemented
107#387×C139C2211yescharacteristic, complemented
108#387×C139C2211yescharacteristic, complemented
109#387×C139C2211yescharacteristic, complemented
110#387×C139C2211yescharacteristic, complemented
111#387×C139C2211yescharacteristic, complemented
112#387×C139C2211yescharacteristic, complemented
113#387×C139C2211yescharacteristic, complemented
114#387×C139C2211yescharacteristic, complemented
115#387×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#385×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic, complemented
145#385×C139C2211yescharacteristic, complemented
146#385×C139C2211yescharacteristic, complemented
147#385×C139C2211yescharacteristic, complemented
148#383×C139C2211yescharacteristic, complemented
149#383×C139C2211yescharacteristic, complemented
150#382×C139C2211yescharacteristic, complemented
151#382×C139C2211yescharacteristic, complemented
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic
154#381×C139C2211yescharacteristic
155#381×C139C2211yescharacteristic, complemented
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#380×C139C2211yescharacteristic
160#380×C139C2211yescharacteristic
161#379×C139C2211yescharacteristic
162#379×C139C2211yescharacteristic
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×C4⋊C4×C139C2211yescharacteristic, complemented
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, complemented
180C4×C22⋊C4×C139C2211yescharacteristic, complemented
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183#376×C139C2211yescharacteristic, complemented
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C43×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C23×C4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202#126×C139—42no—
203#125×C139—42no—
204#123×C139—24no—
205#123×C139—24no—
206#120×C139—24no—
207C4×D4×C139—24no—
208C4×D4×C139—24no—
209C4×D4×C139—24no—
210C4×D4×C139—42no—
211#117×C139—24no—
212#117×C139—24no—
213C2×C4⋊C4×C139—24no—
214C2×C4⋊C4×C139C2311yescharacteristic
215C2×C4⋊C4×C139C2311yescharacteristic
216C2×C4⋊C4×C139C2311yescharacteristic
217C2×C4⋊C4×C139C2311yescharacteristic
218C2×C4⋊C4×C139C2311yescharacteristic
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C22⋊C4×C139—24no—
246C2×C22⋊C4×C139—24no—
247C2×C22⋊C4×C139—24no—
248C2×C22⋊C4×C139—42no—
249C2×C22⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139C2311yescharacteristic
251C2×C22⋊C4×C139C2311yescharacteristic
252C2×C22⋊C4×C139C2311yescharacteristic
253C2×C22⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139C2311yescharacteristic
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
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×C42×C139—42no—
290C2×C42×C139—42no—
291C2×C42×C139C2311yescharacteristic
292C2×C42×C139C2311yescharacteristic
293C2×C42×C139C2311yescharacteristic
294C2×C42×C139C2311yescharacteristic
295C2×C42×C139C2311yescharacteristic
296C2×C42×C139C2311yescharacteristic
297C2×C42×C139C2311yescharacteristic
298C2×C42×C139C2311yescharacteristic
299C2×C42×C139C2311yescharacteristic
300C2×C42×C139C2311yescharacteristic
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303C2×C42×C139C2311yescharacteristic
304C2×C42×C139C2311yescharacteristic
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310#95×C139C2311yescharacteristic
311#95×C139C2311yescharacteristic
312#95×C139C2311yescharacteristic
313#95×C139C2311yescharacteristic
314#95×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360C24×C139—22no—
361C24×C139—22no—
362C24×C139—22no—
363C24×C139—22no—
364C24×C139—41no—
365C24×C139—41no—
366C24×C139—41no—
367C24×C139C2411yescharacteristic
368C24×C139C2411yescharacteristic
369C24×C139C2411yescharacteristic
370C24×C139C2411yescharacteristic
371C2×D4×C139—22no—
372C2×D4×C139—22no—
373C2×D4×C139—22no—
374C2×D4×C139—22no—
375C2×D4×C139—22no—
376C2×D4×C139—41no—
377C2×D4×C139—41no—
378C2×D4×C139—41no—
379C2×D4×C139#4114yes—
380C22×C4×C139—22no—
381C22×C4×C139—22no—
382C22×C4×C139—22no—
383C22×C4×C139—22no—
384C22×C4×C139—22no—
385C22×C4×C139—22no—
386C22×C4×C139—22no—
387C22×C4×C139—22no—
388C22×C4×C139—22no—
389C22×C4×C139—22no—
390C22×C4×C139—22no—
391C22×C4×C139—22no—
392C22×C4×C139—22no—
393C22×C4×C139—22no—
394C22×C4×C139—22no—
395C22×C4×C139—22no—
396C22×C4×C139—22no—
397C22×C4×C139—22no—
398C22×C4×C139—41no—
399C22×C4×C139—41no—
400C22×C4×C139—41no—
401C22×C4×C139—41no—
402C22×C4×C139—41no—
403C22×C4×C139—41no—
404C22×C4×C139—41no—
405C22×C4×C139—41no—
406C22×C4×C139—41no—
407C22×C4×C139—41no—
408C22×C4×C139—41no—
409C22×C4×C139—41no—
410C22×C4×C139—41no—
411C22×C4×C139—41no—
412C22×C4×C139#4114yes—
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C22×C4×C139C2411yescharacteristic
417C22×C4×C139C2411yescharacteristic
418C22×C4×C139C2411yescharacteristic
419C22×C4×C139C2411yescharacteristic
420C22×C4×C139C2411yescharacteristic
421C22×C4×C139C2411yescharacteristic
422C22×C4×C139C2411yescharacteristic
423C22×C4×C139C2411yescharacteristic
424C22×C4×C139C2411yescharacteristic
425C22×C4×C139C2411yescharacteristic
426C22×C4×C139C2411yescharacteristic
427C22×C4×C139C2411yescharacteristic
428C22×C4×C139C2411yescharacteristic
429C22×C4×C139C2411yescharacteristic
430C22×C4×C139C2411yescharacteristic
431C22×C4×C139C2411yescharacteristic
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
440C4⋊C4×C139—22no—
441C4⋊C4×C139—22no—
442C4⋊C4×C139—22no—
443C4⋊C4×C139—22no—
444C4⋊C4×C139—22no—
445C4⋊C4×C139—22no—
446C4⋊C4×C139—22no—
447C4⋊C4×C139—22no—
448C4⋊C4×C139—22no—
449C4⋊C4×C139—22no—
450C4⋊C4×C139—22no—
451C4⋊C4×C139—22no—
452C4⋊C4×C139—22no—
453C4⋊C4×C139—22no—
454C4⋊C4×C139—22no—
455C4⋊C4×C139—22no—
456C4⋊C4×C139—22no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139—41no—
460C4⋊C4×C139—41no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C22⋊C4×C139—22no—
472C22⋊C4×C139—22no—
473C22⋊C4×C139—22no—
474C22⋊C4×C139—22no—
475C22⋊C4×C139—22no—
476C22⋊C4×C139—22no—
477C22⋊C4×C139—22no—
478C22⋊C4×C139—22no—
479C22⋊C4×C139—22no—
480C22⋊C4×C139—22no—
481C22⋊C4×C139—22no—
482C22⋊C4×C139—22no—
483C22⋊C4×C139—22no—
484C22⋊C4×C139—22no—
485C22⋊C4×C139—22no—
486C22⋊C4×C139—22no—
487C22⋊C4×C139—22no—
488C22⋊C4×C139—22no—
489C22⋊C4×C139—22no—
490C22⋊C4×C139—22no—
491C22⋊C4×C139—22no—
492C22⋊C4×C139—22no—
493C22⋊C4×C139—22no—
494C22⋊C4×C139—22no—
495C22⋊C4×C139—22no—
496C22⋊C4×C139—22no—
497C22⋊C4×C139—22no—
498C22⋊C4×C139—41no—
499C22⋊C4×C139—41no—
500C22⋊C4×C139—41no—
501C22⋊C4×C139—41no—
502C22⋊C4×C139—41no—
503C22⋊C4×C139—41no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139#4114yes—
510C22⋊C4×C139#4114yes—
511C42×C139—22no—
512C42×C139—22no—
513C42×C139—22no—
514C42×C139—22no—
515C42×C139—22no—
516C42×C139—22no—
517C42×C139—22no—
518C42×C139—22no—
519C42×C139—22no—
520C42×C139—22no—
521C42×C139—41no—
522C42×C139—41no—
523C42×C139—41no—
524C42×C139—41no—
525C42×C139—41no—
526C42×C139—41no—
527C42×C139—41no—
528C42×C139—41no—
529C42×C139—41no—
530C23×C139—21no—
531C23×C139—21no—
532C23×C139—21no—
533C23×C139—21no—
534C23×C139—21no—
535C23×C139—21no—
536C23×C139—21no—
537C23×C139—21no—
538C23×C139—21no—
539C23×C139—21no—
540C23×C139—21no—
541C23×C139—21no—
542C23×C139—21no—
543C23×C139—21no—
544C23×C139—21no—
545C23×C139—21no—
546C23×C139—21no—
547C23×C139—21no—
548C23×C139—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—44no—
554C23×C139—44no—
555C23×C139—44no—
556C23×C139—44no—
557C23×C139—82no—
558C23×C139—82no—
559C23×C139—82no—
560C23×C139C2×#4112yes—
561C23×C139C2×#4112yes—
562C23×C139C2×#4112yes—
563C23×C139C2×#4112yes—
564C23×C139C2×#4112yes—
565C23×C139C2511yescharacteristic
566D4×C139—28no—
567D4×C139—44no—
568D4×C139—82no—
569C2×C4×C139—21no—
570C2×C4×C139—21no—
571C2×C4×C139—21no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—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—44no—
643C2×C4×C139—44no—
644C2×C4×C139—44no—
645C2×C4×C139—44no—
646C2×C4×C139—44no—
647C2×C4×C139—44no—
648C2×C4×C139—44no—
649C2×C4×C139—44no—
650C2×C4×C139—44no—
651C2×C4×C139—82no—
652C2×C4×C139—82no—
653C2×C4×C139C2×#4112yes—
654C2×C4×C139C2×#4112yes—
655C2×C4×C139C2×#4112yes—
656C2×C4×C139C2×#4112yes—
657C2×C4×C139C2×#4112yes—
658C2×C4×C139C2×#4112yes—
659C2×C4×C139C2×#4112yes—
660C2×C4×C139H(5,𝔽2)12yes—
661C22×C139—22no—
662C22×C139—22no—
663C22×C139—22no—
664C22×C139—22no—
665C22×C139—22no—
666C22×C139—22no—
667C22×C139—22no—
668C22×C139—22no—
669C22×C139—22no—
670C22×C139—22no—
671C22×C139—22no—
672C22×C139—22no—
673C22×C139—41no—
674C22×C139—41no—
675C22×C139—41no—
676C22×C139—41no—
677C22×C139—41no—
678C22×C139—41no—
679C22×C139—41no—
680C22×C139—41no—
681C22×C139—41no—
682C22×C139—41no—
683C22×C139—41no—
684C22×C139—41no—
685C22×C139—41no—
686C22×C139—41no—
687C22×C139—41no—
688C22×C139—88no—
689C22×C139#52914yes—
690C22×C139C22×#4111yescharacteristic
691C22×C139C22×#4111yescharacteristic
692C22×C139C22×#4111yescharacteristic
693C22×C139C22×#4111yescharacteristic
694C22×C139C2×H(5,𝔽2)11yescharacteristic
695C22×C139#58511yescharacteristic
696C22×C139#58511yescharacteristic
697C4×C139—22no—
698C4×C139—22no—
699C4×C139—22no—
700C4×C139—22no—
701C4×C139—22no—
702C4×C139—22no—
703C4×C139—22no—
704C4×C139—22no—
705C4×C139—41no—
706C4×C139—41no—
707C4×C139—41no—
708C4×C139—41no—
709C4×C139—41no—
710C4×C139—41no—
711C4×C139—41no—
712C4×C139—41no—
713C4×C139—41no—
714C4×C139—41no—
715C4×C139—41no—
716C4×C139—41no—
717C4×C139—41no—
718C4×C139—41no—
719C4×C139—41no—
720C4×C139—41no—
721C4×C139—41no—
722C4×C139—41no—
723C4×C139—41no—
724C2×C139—24no—
725C2×C139—42no—
726C2×C139—42no—
727C2×C139—81no—
728C2×C139C2×#52911yescharacteristic
729C2×C139#347511yescharacteristic
730C2×C139#347511yescharacteristic
731C2×C139#348111yescharacteristic
732C2×C139#350511yescharacteristic
733C2×C139#351311yescharacteristic
734C2×C139#352111yescharacteristic
735#36320C13911yesmaximal, characteristic, direct product factor, Sylow
736C139#3632011yescharacteristic, direct product factor, Sylow
737#2866C2×C13911yescharacteristic, complemented
738#2852C2×C13911yescharacteristic, complemented
739#2851C2×C13911yescharacteristic, complemented
740#2596C2×C13911yescharacteristic, complemented
741#2595C2×C13911yescharacteristic, complemented
742#2594C2×C13911yescharacteristic, complemented
743#2587C2×C13911yescharacteristic, complemented
744#2579C2×C13911yescharacteristic, complemented
745#2577C2×C13911yescharacteristic, complemented
746#2576C2×C13911yescharacteristic, complemented
747#2534C2×C13911yescharacteristic
748#2526C2×C13911yescharacteristic, complemented
749#2519C2×C13911yescharacteristic, complemented
750#2518C2×C13911yescharacteristic, complemented
751#2515C2×C13911yescharacteristic, complemented
752#2493C2×C13911yescharacteristic, complemented
753#2480C2×C13911yescharacteristic, complemented
754#2470C2×C13911yescharacteristic, complemented
755#2460C2×C13911yescharacteristic, complemented
756#2419C2×C13911yescharacteristic, complemented
757#2418C2×C13911yescharacteristic
758#2359C2×C13911yescharacteristic, complemented
759#2358C2×C13911yescharacteristic
760#2345C2×C13911yescharacteristic, complemented
761#2343C2×C13911yescharacteristic, complemented
762#2342C2×C13911yescharacteristic, complemented
763#2342C2×C13911yescharacteristic, complemented
764C4×#123C2×C13911yescharacteristic, complemented
765#2298C2×C13911yescharacteristic, complemented
766C2×#388C2×C13911yescharacteristic, complemented
767C42×D4C2×C13911yescharacteristic, complemented
768C2×#126C22×C13911yescharacteristic
769C2×#125C22×C13911yescharacteristic, complemented
770C2×#123C22×C13911yescharacteristic
771C2×#123C22×C13911yescharacteristic
772C2×#120C22×C13911yescharacteristic
773C2×C4×D4C22×C13911yescharacteristic
774C2×C4×D4C22×C13911yescharacteristic
775C2×C4×D4C22×C13911yescharacteristic
776C2×C4×D4C22×C13911yescharacteristic
777C2×#117C22×C13911yescharacteristic
778C2×#117C22×C13911yescharacteristic
779C22×C4⋊C4C22×C13911yescharacteristic
780C22×C22⋊C4C22×C13911yescharacteristic
781C22×C22⋊C4C22×C13911yescharacteristic
782C22×C22⋊C4C22×C13911yescharacteristic
783C22×C22⋊C4C22×C13911yescharacteristic
784C22×C42C22×C13911yescharacteristic
785C22×C42C22×C13911yescharacteristic, complemented
786#401C22×C13911yescharacteristic, complemented
787#400C22×C13911yescharacteristic, complemented
788#400C22×C13911yescharacteristic, complemented
789#400C22×C13911yescharacteristic, complemented
790#400C22×C13911yescharacteristic, complemented
791#399C22×C13911yescharacteristic
792#398C22×C13911yescharacteristic, complemented
793#398C22×C13911yescharacteristic, complemented
794#398C22×C13911yescharacteristic, complemented
795#397C22×C13911yescharacteristic
796#397C22×C13911yescharacteristic
797#397C22×C13911yescharacteristic
798#397C22×C13911yescharacteristic
799#397C22×C13911yescharacteristic, complemented
800#397C22×C13911yescharacteristic, complemented
801#396C22×C13911yescharacteristic
802#396C22×C13911yescharacteristic
803#396C22×C13911yescharacteristic
804#396C22×C13911yescharacteristic, complemented
805#396C22×C13911yescharacteristic, complemented
806#394C22×C13911yescharacteristic
807#394C22×C13911yescharacteristic
808#394C22×C13911yescharacteristic
809#394C22×C13911yescharacteristic
810#390C22×C13911yescharacteristic
811#389C22×C13911yescharacteristic, complemented
812#389C22×C13911yescharacteristic, complemented
813#389C22×C13911yescharacteristic, complemented
814#389C22×C13911yescharacteristic, complemented
815#389C22×C13911yescharacteristic, complemented
816#388C22×C13911yescharacteristic
817#388C22×C13911yescharacteristic
818#388C22×C13911yescharacteristic
819#388C22×C13911yescharacteristic
820#388C22×C13911yescharacteristic
821#388C22×C13911yescharacteristic
822#388C22×C13911yescharacteristic
823#388C22×C13911yescharacteristic
824#388C22×C13911yescharacteristic
825#388C22×C13911yescharacteristic
826#388C22×C13911yescharacteristic
827#388C22×C13911yescharacteristic
828#388C22×C13911yescharacteristic
829#388C22×C13911yescharacteristic
830#388C22×C13911yescharacteristic
831#388C22×C13911yescharacteristic
832#388C22×C13911yescharacteristic
833#388C22×C13911yescharacteristic
834#388C22×C13911yescharacteristic
835#388C22×C13911yescharacteristic
836#388C22×C13911yescharacteristic
837#388C22×C13911yescharacteristic
838#388C22×C13911yescharacteristic
839#388C22×C13911yescharacteristic
840#388C22×C13911yescharacteristic
841#388C22×C13911yescharacteristic, complemented
842#388C22×C13911yescharacteristic, complemented
843#387C22×C13911yescharacteristic, complemented
844#387C22×C13911yescharacteristic, complemented
845#387C22×C13911yescharacteristic, complemented
846#387C22×C13911yescharacteristic, complemented
847#387C22×C13911yescharacteristic, complemented
848#387C22×C13911yescharacteristic, complemented
849#387C22×C13911yescharacteristic, complemented
850#387C22×C13911yescharacteristic, complemented
851#387C22×C13911yescharacteristic, complemented
852#387C22×C13911yescharacteristic, complemented
853#387C22×C13911yescharacteristic, complemented
854#387C22×C13911yescharacteristic, complemented
855#387C22×C13911yescharacteristic, complemented
856#387C22×C13911yescharacteristic, complemented
857#387C22×C13911yescharacteristic, complemented
858#387C22×C13911yescharacteristic, complemented
859#387C22×C13911yescharacteristic, complemented
860#387C22×C13911yescharacteristic, complemented
861#387C22×C13911yescharacteristic, complemented
862#387C22×C13911yescharacteristic, complemented
863#387C22×C13911yescharacteristic, complemented
864#386C22×C13911yescharacteristic
865#386C22×C13911yescharacteristic
866#386C22×C13911yescharacteristic
867#386C22×C13911yescharacteristic
868#386C22×C13911yescharacteristic
869#386C22×C13911yescharacteristic
870#386C22×C13911yescharacteristic
871#385C22×C13911yescharacteristic
872#385C22×C13911yescharacteristic
873#385C22×C13911yescharacteristic
874#385C22×C13911yescharacteristic
875#385C22×C13911yescharacteristic
876#385C22×C13911yescharacteristic
877#385C22×C13911yescharacteristic
878#385C22×C13911yescharacteristic
879#385C22×C13911yescharacteristic
880#385C22×C13911yescharacteristic, complemented
881#385C22×C13911yescharacteristic, complemented
882#385C22×C13911yescharacteristic, complemented
883#385C22×C13911yescharacteristic, complemented
884#383C22×C13911yescharacteristic, complemented
885#383C22×C13911yescharacteristic, complemented
886#382C22×C13911yescharacteristic, complemented
887#382C22×C13911yescharacteristic, complemented
888#381C22×C13911yescharacteristic
889#381C22×C13911yescharacteristic
890#381C22×C13911yescharacteristic
891#381C22×C13911yescharacteristic, complemented
892#380C22×C13911yescharacteristic
893#380C22×C13911yescharacteristic
894#380C22×C13911yescharacteristic
895#380C22×C13911yescharacteristic
896#380C22×C13911yescharacteristic
897#379C22×C13911yescharacteristic
898#379C22×C13911yescharacteristic
899C4×C4⋊C4C22×C13911yescharacteristic, complemented
900C4×C4⋊C4C22×C13911yescharacteristic, complemented
901C4×C4⋊C4C22×C13911yescharacteristic, complemented
902C4×C4⋊C4C22×C13911yescharacteristic, complemented
903C4×C4⋊C4C22×C13911yescharacteristic, complemented
904C4×C4⋊C4C22×C13911yescharacteristic, complemented
905C4×C4⋊C4C22×C13911yescharacteristic, complemented
906C4×C22⋊C4C22×C13911yescharacteristic
907C4×C22⋊C4C22×C13911yescharacteristic
908C4×C22⋊C4C22×C13911yescharacteristic
909C4×C22⋊C4C22×C13911yescharacteristic
910C4×C22⋊C4C22×C13911yescharacteristic
911C4×C22⋊C4C22×C13911yescharacteristic
912C4×C22⋊C4C22×C13911yescharacteristic
913C4×C22⋊C4C22×C13911yescharacteristic
914C4×C22⋊C4C22×C13911yescharacteristic
915C4×C22⋊C4C22×C13911yescharacteristic, complemented
916C4×C22⋊C4C22×C13911yescharacteristic, complemented
917C4×C22⋊C4C22×C13911yescharacteristic, complemented
918C4×C22⋊C4C22×C13911yescharacteristic, complemented
919#376C22×C13911yescharacteristic, complemented
920C2×#95C22×C13911yescharacteristic
921C2×#95C22×C13911yescharacteristic
922C43C22×C13911yescharacteristic, complemented
923C25C23×C13911yescharacteristic
924C22×D4C23×C13911yescharacteristic
925C22×D4C23×C13911yescharacteristic
926C22×D4C23×C13911yescharacteristic
927C23×C4C23×C13911yescharacteristic
928C23×C4C23×C13911yescharacteristic
929C23×C4C23×C13911yescharacteristic
930C23×C4C23×C13911yescharacteristic
931C23×C4C23×C13911yescharacteristic
932C23×C4C23×C13911yescharacteristic
933C23×C4C23×C13911yescharacteristic
934C23×C4C23×C13911yescharacteristic
935C23×C4C23×C13911yescharacteristic
936C23×C4C23×C13911yescharacteristic
937C23×C4C23×C13911yescharacteristic
938#126—42no—
939#125—42no—
940#123—24no—
941#123—24no—
942#120—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—42no—
947#117—24no—
948#117—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4C23×C13911yescharacteristic
951C2×C4⋊C4C23×C13911yescharacteristic
952C2×C4⋊C4C23×C13911yescharacteristic
953C2×C4⋊C4C23×C13911yescharacteristic
954C2×C4⋊C4C23×C13911yescharacteristic
955C2×C4⋊C4C23×C13911yescharacteristic
956C2×C4⋊C4C23×C13911yescharacteristic
957C2×C4⋊C4C23×C13911yescharacteristic
958C2×C4⋊C4C23×C13911yescharacteristic
959C2×C4⋊C4C23×C13911yescharacteristic
960C2×C4⋊C4C23×C13911yescharacteristic
961C2×C4⋊C4C23×C13911yescharacteristic
962C2×C4⋊C4C23×C13911yescharacteristic
963C2×C4⋊C4C23×C13911yescharacteristic
964C2×C4⋊C4C23×C13911yescharacteristic
965C2×C4⋊C4C23×C13911yescharacteristic
966C2×C4⋊C4C23×C13911yescharacteristic
967C2×C4⋊C4C23×C13911yescharacteristic
968C2×C4⋊C4C23×C13911yescharacteristic
969C2×C4⋊C4C23×C13911yescharacteristic
970C2×C4⋊C4C23×C13911yescharacteristic
971C2×C4⋊C4C23×C13911yescharacteristic
972C2×C4⋊C4C23×C13911yescharacteristic
973C2×C4⋊C4C23×C13911yescharacteristic
974C2×C4⋊C4C23×C13911yescharacteristic
975C2×C4⋊C4C23×C13911yescharacteristic
976C2×C4⋊C4C23×C13911yescharacteristic
977C2×C4⋊C4C23×C13911yescharacteristic
978C2×C4⋊C4C23×C13911yescharacteristic
979C2×C4⋊C4C23×C13911yescharacteristic
980C2×C4⋊C4C23×C13911yescharacteristic
981C2×C22⋊C4—24no—
982C2×C22⋊C4—24no—
983C2×C22⋊C4—24no—
984C2×C22⋊C4—42no—
985C2×C22⋊C4C23×C13911yescharacteristic
986C2×C22⋊C4C23×C13911yescharacteristic
987C2×C22⋊C4C23×C13911yescharacteristic
988C2×C22⋊C4C23×C13911yescharacteristic
989C2×C22⋊C4C23×C13911yescharacteristic
990C2×C22⋊C4C23×C13911yescharacteristic
991C2×C22⋊C4C23×C13911yescharacteristic
992C2×C22⋊C4C23×C13911yescharacteristic
993C2×C22⋊C4C23×C13911yescharacteristic
994C2×C22⋊C4C23×C13911yescharacteristic
995C2×C22⋊C4C23×C13911yescharacteristic
996C2×C22⋊C4C23×C13911yescharacteristic
997C2×C22⋊C4C23×C13911yescharacteristic
998C2×C22⋊C4C23×C13911yescharacteristic
999C2×C22⋊C4C23×C13911yescharacteristic
1000C2×C22⋊C4C23×C13911yescharacteristic
1001C2×C22⋊C4C23×C13911yescharacteristic
1002C2×C22⋊C4C23×C13911yescharacteristic
1003C2×C22⋊C4C23×C13911yescharacteristic
1004C2×C22⋊C4C23×C13911yescharacteristic
1005C2×C22⋊C4C23×C13911yescharacteristic
1006C2×C22⋊C4C23×C13911yescharacteristic
1007C2×C22⋊C4C23×C13911yescharacteristic
1008C2×C22⋊C4C23×C13911yescharacteristic
1009C2×C22⋊C4C23×C13911yescharacteristic
1010C2×C22⋊C4C23×C13911yescharacteristic
1011C2×C22⋊C4C23×C13911yescharacteristic
1012C2×C22⋊C4C23×C13911yescharacteristic
1013C2×C22⋊C4C23×C13911yescharacteristic
1014C2×C22⋊C4C23×C13911yescharacteristic
1015C2×C22⋊C4C23×C13911yescharacteristic
1016C2×C22⋊C4C23×C13911yescharacteristic
1017C2×C22⋊C4C23×C13911yescharacteristic
1018C2×C22⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C42—42no—
1026C2×C42—42no—
1027C2×C42C23×C13911yescharacteristic
1028C2×C42C23×C13911yescharacteristic
1029C2×C42C23×C13911yescharacteristic
1030C2×C42C23×C13911yescharacteristic
1031C2×C42C23×C13911yescharacteristic
1032C2×C42C23×C13911yescharacteristic
1033C2×C42C23×C13911yescharacteristic
1034C2×C42C23×C13911yescharacteristic
1035C2×C42C23×C13911yescharacteristic
1036C2×C42C23×C13911yescharacteristic
1037C2×C42C23×C13911yescharacteristic
1038C2×C42C23×C13911yescharacteristic
1039C2×C42C23×C13911yescharacteristic
1040C2×C42C23×C13911yescharacteristic
1041C2×C42C23×C13911yescharacteristic
1042C2×C42C23×C13911yescharacteristic
1043C2×C42C23×C13911yescharacteristic
1044C2×C42C23×C13911yescharacteristic
1045C2×C42C23×C13911yescharacteristic
1046#95C23×C13911yescharacteristic
1047#95C23×C13911yescharacteristic
1048#95C23×C13911yescharacteristic
1049#95C23×C13911yescharacteristic
1050#95C23×C13911yescharacteristic
1051#95C23×C13911yescharacteristic
1052#95C23×C13911yescharacteristic
1053#95C23×C13911yescharacteristic
1054#95C23×C13911yescharacteristic
1055#95C23×C13911yescharacteristic
1056#95C23×C13911yescharacteristic
1057#95C23×C13911yescharacteristic
1058#95C23×C13911yescharacteristic
1059#95C23×C13911yescharacteristic
1060#95C23×C13911yescharacteristic
1061#95C23×C13911yescharacteristic
1062#95C23×C13911yescharacteristic
1063#95C23×C13911yescharacteristic
1064#95C23×C13911yescharacteristic
1065#95C23×C13911yescharacteristic
1066#95C23×C13911yescharacteristic
1067#95C23×C13911yescharacteristic
1068#95C23×C13911yescharacteristic
1069#95C23×C13911yescharacteristic
1070#95C23×C13911yescharacteristic
1071#95C23×C13911yescharacteristic
1072#95C23×C13911yescharacteristic
1073#95C23×C13911yescharacteristic
1074#95C23×C13911yescharacteristic
1075#95C23×C13911yescharacteristic
1076#95C23×C13911yescharacteristic
1077#95C23×C13911yescharacteristic
1078#95C23×C13911yescharacteristic
1079#95C23×C13911yescharacteristic
1080#95C23×C13911yescharacteristic
1081#95C23×C13911yescharacteristic
1082#95C23×C13911yescharacteristic
1083#95C23×C13911yescharacteristic
1084#95C23×C13911yescharacteristic
1085#95C23×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
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—41no—
1101C24—41no—
1102C24—41no—
1103C24C24×C13911yescharacteristic
1104C24C24×C13911yescharacteristic
1105C24C24×C13911yescharacteristic
1106C24C24×C13911yescharacteristic
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4#41×C13914yes—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4#41×C13914yes—
1149C22×C4C24×C13911yescharacteristic
1150C22×C4C24×C13911yescharacteristic
1151C22×C4C24×C13911yescharacteristic
1152C22×C4C24×C13911yescharacteristic
1153C22×C4C24×C13911yescharacteristic
1154C22×C4C24×C13911yescharacteristic
1155C22×C4C24×C13911yescharacteristic
1156C22×C4C24×C13911yescharacteristic
1157C22×C4C24×C13911yescharacteristic
1158C22×C4C24×C13911yescharacteristic
1159C22×C4C24×C13911yescharacteristic
1160C22×C4C24×C13911yescharacteristic
1161C22×C4C24×C13911yescharacteristic
1162C22×C4C24×C13911yescharacteristic
1163C22×C4C24×C13911yescharacteristic
1164C22×C4C24×C13911yescharacteristic
1165C22×C4C24×C13911yescharacteristic
1166C22×C4C24×C13911yescharacteristic
1167C22×C4C24×C13911yescharacteristic
1168C22×C4C24×C13911yescharacteristic
1169C22×C4C24×C13911yescharacteristic
1170C22×C4C24×C13911yescharacteristic
1171C22×C4C24×C13911yescharacteristic
1172C22×C4C24×C13911yescharacteristic
1173C22×C4C24×C13911yescharacteristic
1174C22×C4C24×C13911yescharacteristic
1175C22×C4C24×C13911yescharacteristic
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4#41×C13914yes—
1246C22⋊C4#41×C13914yes—
1247C42—22no—
1248C42—22no—
1249C42—22no—
1250C42—22no—
1251C42—22no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—22no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—82no—
1294C23—82no—
1295C23—82no—
1296C23C2×#41×C13912yes—
1297C23C2×#41×C13912yes—
1298C23C2×#41×C13912yes—
1299C23C2×#41×C13912yes—
1300C23C2×#41×C13912yes—
1301C23C25×C13911yescharacteristic
1302D4—28no—
1303D4—44no—
1304D4—82no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—82no—
1388C2×C4—82no—
1389C2×C4C2×#41×C13912yes—
1390C2×C4C2×#41×C13912yes—
1391C2×C4C2×#41×C13912yes—
1392C2×C4C2×#41×C13912yes—
1393C2×C4C2×#41×C13912yes—
1394C2×C4C2×#41×C13912yes—
1395C2×C4C2×#41×C13912yes—
1396C2×C4H(5,𝔽2)×C13912yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—88no—
1425C22#529×C13914yes—
1426C22C22×#41×C13911yescharacteristic
1427C22C22×#41×C13911yescharacteristic
1428C22C22×#41×C13911yescharacteristic
1429C22C22×#41×C13911yescharacteristic
1430C22C2×H(5,𝔽2)×C13911yescharacteristic
1431C22#585×C13911yescharacteristic
1432C22#585×C13911yescharacteristic
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C2—24no—
1461C2—42no—
1462C2—42no—
1463C2—81no—
1464C2C2×#529×C13911yescharacteristic
1465C2#3475×C13911yescharacteristic
1466C2#3475×C13911yescharacteristic
1467C2#3481×C13911yescharacteristic
1468C2#3505×C13911yescharacteristic
1469C2#3513×C13911yescharacteristic
1470C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC2×#120×C139C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2866×C139C2semidirect
2. #2852×C139C2semidirect
3. #2851×C139C2semidirect
4. #2596×C139C2semidirect
5. #2595×C139C2semidirect
6. #2594×C139C2semidirect
7. #2587×C139C2semidirect
8. #2579×C139C2semidirect
9. #2577×C139C2semidirect
10. #2576×C139C2semidirect
12. #2526×C139C2semidirect
13. #2519×C139C2semidirect
14. #2518×C139C2semidirect
15. #2515×C139C2semidirect
16. #2493×C139C2semidirect
17. #2480×C139C2semidirect
18. #2470×C139C2semidirect
19. #2460×C139C2semidirect
20. #2419×C139C2semidirect
22. #2359×C139C2semidirect
24. #2345×C139C2semidirect
25. #2343×C139C2semidirect
26. #2342×C139C2semidirect
27. #2342×C139C2semidirect
28. C4×#123×C139C2semidirect
29. #2298×C139C2semidirect
30. C2×#388×C139C2semidirect
31. C42×D4×C139C2semidirect
33. C2×#125×C139C22semidirect
49. C22×C42×C139C22semidirect
50. #401×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
56. #398×C139C22semidirect
57. #398×C139C22semidirect
58. #398×C139C22semidirect
63. #397×C139C22semidirect
64. #397×C139C22semidirect
68. #396×C139C22semidirect
69. #396×C139C22semidirect
75. #389×C139C22semidirect
76. #389×C139C22semidirect
77. #389×C139C22semidirect
78. #389×C139C22semidirect
79. #389×C139C22semidirect
105. #388×C139C22semidirect
106. #388×C139C22semidirect
107. #387×C139C22semidirect
108. #387×C139C22semidirect
109. #387×C139C22semidirect
110. #387×C139C22semidirect
111. #387×C139C22semidirect
112. #387×C139C22semidirect
113. #387×C139C22semidirect
114. #387×C139C22semidirect
115. #387×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
144. #385×C139C22semidirect
145. #385×C139C22semidirect
146. #385×C139C22semidirect
147. #385×C139C22semidirect
148. #383×C139C22semidirect
149. #383×C139C22semidirect
150. #382×C139C22semidirect
151. #382×C139C22semidirect
155. #381×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
169. C4×C4⋊C4×C139C22semidirect
179. C4×C22⋊C4×C139C22semidirect
180. C4×C22⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. #376×C139C22semidirect
186. C43×C139C22semidirect
735. #36320C139direct (N × H)
736. C139#36320direct (N × H)
737. #2866C2×C139semidirect
738. #2852C2×C139semidirect
739. #2851C2×C139semidirect
740. #2596C2×C139semidirect
741. #2595C2×C139semidirect
742. #2594C2×C139semidirect
743. #2587C2×C139semidirect
744. #2579C2×C139semidirect
745. #2577C2×C139semidirect
746. #2576C2×C139semidirect
748. #2526C2×C139semidirect
749. #2519C2×C139semidirect
750. #2518C2×C139semidirect
751. #2515C2×C139semidirect
752. #2493C2×C139semidirect
753. #2480C2×C139semidirect
754. #2470C2×C139semidirect
755. #2460C2×C139semidirect
756. #2419C2×C139semidirect
758. #2359C2×C139semidirect
760. #2345C2×C139semidirect
761. #2343C2×C139semidirect
762. #2342C2×C139semidirect
763. #2342C2×C139semidirect
764. C4×#123C2×C139semidirect
765. #2298C2×C139semidirect
766. C2×#388C2×C139semidirect
767. C42×D4C2×C139semidirect
769. C2×#125C22×C139semidirect
785. C22×C42C22×C139semidirect
786. #401C22×C139semidirect
787. #400C22×C139semidirect
788. #400C22×C139semidirect
789. #400C22×C139semidirect
790. #400C22×C139semidirect
792. #398C22×C139semidirect
793. #398C22×C139semidirect
794. #398C22×C139semidirect
799. #397C22×C139semidirect
800. #397C22×C139semidirect
804. #396C22×C139semidirect
805. #396C22×C139semidirect
811. #389C22×C139semidirect
812. #389C22×C139semidirect
813. #389C22×C139semidirect
814. #389C22×C139semidirect
815. #389C22×C139semidirect
841. #388C22×C139semidirect
842. #388C22×C139semidirect
843. #387C22×C139semidirect
844. #387C22×C139semidirect
845. #387C22×C139semidirect
846. #387C22×C139semidirect
847. #387C22×C139semidirect
848. #387C22×C139semidirect
849. #387C22×C139semidirect
850. #387C22×C139semidirect
851. #387C22×C139semidirect
852. #387C22×C139semidirect
853. #387C22×C139semidirect
854. #387C22×C139semidirect
855. #387C22×C139semidirect
856. #387C22×C139semidirect
857. #387C22×C139semidirect
858. #387C22×C139semidirect
859. #387C22×C139semidirect
860. #387C22×C139semidirect
861. #387C22×C139semidirect
862. #387C22×C139semidirect
863. #387C22×C139semidirect
880. #385C22×C139semidirect
881. #385C22×C139semidirect
882. #385C22×C139semidirect
883. #385C22×C139semidirect
884. #383C22×C139semidirect
885. #383C22×C139semidirect
886. #382C22×C139semidirect
887. #382C22×C139semidirect
891. #381C22×C139semidirect
899. C4×C4⋊C4C22×C139semidirect
900. C4×C4⋊C4C22×C139semidirect
901. C4×C4⋊C4C22×C139semidirect
902. C4×C4⋊C4C22×C139semidirect
903. C4×C4⋊C4C22×C139semidirect
904. C4×C4⋊C4C22×C139semidirect
905. C4×C4⋊C4C22×C139semidirect
915. C4×C22⋊C4C22×C139semidirect
916. C4×C22⋊C4C22×C139semidirect
917. C4×C22⋊C4C22×C139semidirect
918. C4×C22⋊C4C22×C139semidirect
919. #376C22×C139semidirect
922. C43C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2866×C1392
#2852×C1392
#2851×C1392
#2596×C1392
#2595×C1392
#2594×C1392
#2587×C1392
#2579×C1392
#2577×C1392
#2576×C1392
#2534×C1392
#2526×C1392
#2519×C1392
#2518×C1392
#2515×C1392
#2493×C1392
#2480×C1392
#2470×C1392
#2460×C1392
#2419×C1392
#2418×C1392
#2359×C1392
#2358×C1392
#2345×C1392
#2343×C1392
#2342×C1392
C4×#123×C1392
#2298×C1392
C2×#388×C1392
C42×D4×C1392
#36320139