Finite Group Databasebeta

← C139×#34325 #48028921

Subgroups — C139×#34325 #48028921

Order 35584.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#553×C139C211yesmaximal, characteristic
2#2374×C139C211yesmaximal, characteristic, complemented
3#2373×C139C211yesmaximal, characteristic, complemented
4#2373×C139C211yesmaximal, characteristic, complemented
5#2371×C139C211yesmaximal, characteristic, complemented
6#2364×C139C211yesmaximal, characteristic, complemented
7#2364×C139C211yesmaximal, characteristic, complemented
8#2364×C139C211yesmaximal, characteristic, complemented
9#2361×C139C211yesmaximal, characteristic, complemented
10#2359×C139C211yesmaximal, characteristic, complemented
11#2353×C139C211yesmaximal, characteristic, complemented
12#2353×C139C211yesmaximal, characteristic, complemented
13#2353×C139C211yesmaximal, characteristic, complemented
14#2352×C139C211yesmaximal, characteristic, complemented
15#2345×C139C211yesmaximal, characteristic, complemented
16#2343×C139C211yesmaximal, characteristic, complemented
17#2336×C139C211yesmaximal, characteristic, complemented
18#2335×C139C211yesmaximal, characteristic, complemented
19#2334×C139C211yesmaximal, characteristic, complemented
20#2333×C139C211yesmaximal, characteristic, complemented
21#2325×C139C211yesmaximal, characteristic, complemented
22#2325×C139C211yesmaximal, characteristic, complemented
23C4×#126×C139C211yesmaximal, characteristic, complemented
24C4×#123×C139C211yesmaximal, characteristic, complemented
25C4×#121×C139C211yesmaximal, characteristic, complemented
26#2298×C139C211yesmaximal, characteristic, complemented
27#2290×C139C211yesmaximal, characteristic, complemented
28C2×#387×C139C211yesmaximal, characteristic, complemented
29#2275×C139C211yesmaximal, characteristic, complemented
30#2275×C139C211yesmaximal, characteristic, complemented
31C42×D4×C139C211yesmaximal, characteristic, complemented
32#553×C139C4116yescomplemented
33C2×#126×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic
35C2×#125×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#121×C139C2211yescharacteristic
39C2×#121×C139C2211yescharacteristic
40C2×#121×C139C2211yescharacteristic
41C2×#121×C139C2211yescharacteristic
42C2×C4×D4×C139C2211yescharacteristic
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic
50C2×C4×D4×C139C2211yescharacteristic
51C2×C4×D4×C139C2211yescharacteristic
52C2×C4×D4×C139C2211yescharacteristic
53C2×C4×D4×C139C2211yescharacteristic
54C2×#117×C139C2211yescharacteristic
55C2×#117×C139C2211yescharacteristic
56C22×C4⋊C4×C139C2211yescharacteristic
57C22×C4⋊C4×C139C2211yescharacteristic
58C22×C42×C139C2211yescharacteristic
59C22×C42×C139C2211yescharacteristic
60#390×C139C2211yescharacteristic
61#390×C139C2211yescharacteristic
62#389×C139C2211yescharacteristic
63#389×C139C2211yescharacteristic
64#389×C139C2211yescharacteristic
65#389×C139C2211yescharacteristic
66#388×C139C2211yescharacteristic
67#388×C139C2211yescharacteristic
68#388×C139C2211yescharacteristic
69#388×C139C2211yescharacteristic
70#388×C139C2211yescharacteristic
71#388×C139C2211yescharacteristic
72#388×C139C2211yescharacteristic
73#388×C139C2211yescharacteristic
74#388×C139C2211yescharacteristic
75#388×C139C2211yescharacteristic
76#388×C139C2211yescharacteristic
77#388×C139C2211yescharacteristic
78#388×C139C2211yescharacteristic
79#388×C139C2211yescharacteristic
80#388×C139C2211yescharacteristic
81#388×C139C2211yescharacteristic
82#388×C139C2211yescharacteristic
83#388×C139C2211yescharacteristic
84#387×C139C2211yescharacteristic
85#387×C139C2211yescharacteristic
86#387×C139C2211yescharacteristic
87#387×C139C2211yescharacteristic
88#387×C139C2211yescharacteristic
89#387×C139C2211yescharacteristic
90#387×C139C2211yescharacteristic
91#387×C139C2211yescharacteristic
92#387×C139C2211yescharacteristic
93#387×C139C2211yescharacteristic
94#387×C139C2211yescharacteristic
95#387×C139C2211yescharacteristic
96#387×C139C2211yescharacteristic
97#387×C139C2211yescharacteristic
98#387×C139C2211yescharacteristic
99#387×C139C2211yescharacteristic
100#387×C139C2211yescharacteristic
101#387×C139C2211yescharacteristic
102#387×C139C2211yescharacteristic
103#387×C139C2211yescharacteristic
104#387×C139C2211yescharacteristic
105#387×C139C2211yescharacteristic
106#387×C139C2211yescharacteristic
107#387×C139C2211yescharacteristic
108#387×C139C2211yescharacteristic
109#387×C139C2211yescharacteristic
110#386×C139C2211yescharacteristic
111#386×C139C2211yescharacteristic
112#386×C139C2211yescharacteristic
113#386×C139C2211yescharacteristic
114#386×C139C2211yescharacteristic
115#386×C139C2211yescharacteristic
116#386×C139C2211yescharacteristic
117#386×C139C2211yescharacteristic
118#386×C139C2211yescharacteristic
119#386×C139C2211yescharacteristic
120#386×C139C2211yescharacteristic
121#386×C139C2211yescharacteristic
122#386×C139C2211yescharacteristic
123#386×C139C2211yescharacteristic
124#385×C139C2211yescharacteristic
125#385×C139C2211yescharacteristic
126#385×C139C2211yescharacteristic
127#385×C139C2211yescharacteristic
128#385×C139C2211yescharacteristic
129#385×C139C2211yescharacteristic
130#383×C139C2211yescharacteristic
131#383×C139C2211yescharacteristic
132#382×C139C2211yescharacteristic
133#381×C139C2211yescharacteristic
134#381×C139C2211yescharacteristic
135#380×C139C2211yescharacteristic
136#380×C139C2211yescharacteristic
137#380×C139C2211yescharacteristic
138#380×C139C2211yescharacteristic
139C4×C4⋊C4×C139C2211yescharacteristic
140C4×C4⋊C4×C139C2211yescharacteristic
141C4×C4⋊C4×C139C2211yescharacteristic
142C4×C4⋊C4×C139C2211yescharacteristic
143C4×C4⋊C4×C139C2211yescharacteristic
144C4×C4⋊C4×C139C2211yescharacteristic
145C4×C4⋊C4×C139C2211yescharacteristic
146C4×C4⋊C4×C139C2211yescharacteristic
147C4×C4⋊C4×C139C2211yescharacteristic
148C4×C4⋊C4×C139C2211yescharacteristic
149C4×C4⋊C4×C139C2211yescharacteristic
150C4×C4⋊C4×C139C2211yescharacteristic
151C4×C4⋊C4×C139C2211yescharacteristic
152C4×C4⋊C4×C139C2211yescharacteristic
153C4×C22⋊C4×C139C2211yescharacteristic
154C4×C22⋊C4×C139C2211yescharacteristic
155C4×C22⋊C4×C139C2211yescharacteristic
156C4×C22⋊C4×C139C2211yescharacteristic
157C4×C22⋊C4×C139C2211yescharacteristic
158C4×C22⋊C4×C139C2211yescharacteristic
159C4×C22⋊C4×C139C2211yescharacteristic
160C4×C22⋊C4×C139C2211yescharacteristic
161C4×C22⋊C4×C139C2211yescharacteristic
162C4×C22⋊C4×C139C2211yescharacteristic
163C4×C22⋊C4×C139C2211yescharacteristic
164C4×C22⋊C4×C139C2211yescharacteristic
165C4×C22⋊C4×C139C2211yescharacteristic
166C4×C22⋊C4×C139C2211yescharacteristic
167C4×C22⋊C4×C139C2211yescharacteristic
168C4×C22⋊C4×C139C2211yescharacteristic
169C4×C22⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177#376×C139C2211yescharacteristic
178#376×C139C2211yescharacteristic
179#376×C139C2211yescharacteristic
180#376×C139C2211yescharacteristic
181C2×#95×C139C2211yescharacteristic
182C2×#95×C139C2211yescharacteristic
183C2×#95×C139C2211yescharacteristic
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C43×C139C2211yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×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
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×C139C2×C418yescomplemented
211#126×C139C2×C418yescomplemented
212#125×C139C2×C418yescomplemented
213#123×C139C2×C418yescomplemented
214#123×C139C2×C418yescomplemented
215#121×C139C2×C418yescomplemented
216#121×C139C2×C418yescomplemented
217#121×C139C2×C418yescomplemented
218#121×C139C2×C418yescomplemented
219C4×D4×C139—24no—
220C4×D4×C139—24no—
221C4×D4×C139—24no—
222C4×D4×C139—24no—
223C4×D4×C139—24no—
224C4×D4×C139—24no—
225C4×D4×C139—42no—
226C4×D4×C139—42no—
227C4×D4×C139C2×C418yescomplemented
228C4×D4×C139C2×C418yescomplemented
229C4×D4×C139C2×C418yescomplemented
230C4×D4×C139C2×C418yescomplemented
231#117×C139—42no—
232#117×C139C2×C418yescomplemented
233C2×C4⋊C4×C139—42no—
234C2×C4⋊C4×C139C2×C418yescomplemented
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×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×C42×C139—42no—
294C2×C42×C139—42no—
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
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
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369#95×C139C2311yescharacteristic
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C2×D4×C139—22no—
375C2×D4×C139—22no—
376C2×D4×C139—22no—
377C2×D4×C139—22no—
378C2×D4×C139—22no—
379C2×D4×C139—22no—
380C2×D4×C139—41no—
381C2×D4×C139—41no—
382C2×D4×C139—41no—
383C2×D4×C139—41no—
384C2×D4×C139—41no—
385C2×D4×C139—41no—
386C2×D4×C139C22×C414yes—
387C2×D4×C139C22×C414yes—
388C2×D4×C139C22×C414yes—
389C2×D4×C139C22×C414yes—
390C2×D4×C139C22×C414yes—
391C2×D4×C139C22×C414yes—
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—22no—
399C22×C4×C139—22no—
400C22×C4×C139—22no—
401C22×C4×C139—22no—
402C22×C4×C139—22no—
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—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—41no—
428C22×C4×C139—41no—
429C22×C4×C139—41no—
430C22×C4×C139—41no—
431C22×C4×C139—41no—
432C22×C4×C139—41no—
433C22×C4×C139C22×C414yes—
434C22×C4×C139C22×C414yes—
435C22×C4×C139C22×C414yes—
436C22×C4×C139C22×C414yes—
437C22×C4×C139C22×C414yes—
438C22×C4×C139C22×C414yes—
439C22×C4×C139#4114yes—
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
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C22×C4×C139C2411yescharacteristic
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
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—41no—
476C4⋊C4×C139—41no—
477C4⋊C4×C139—41no—
478C4⋊C4×C139—41no—
479C4⋊C4×C139—41no—
480C4⋊C4×C139—41no—
481C4⋊C4×C139—41no—
482C4⋊C4×C139—41no—
483C4⋊C4×C139C22×C414yes—
484C4⋊C4×C139C22×C414yes—
485C4⋊C4×C139C22×C414yes—
486C4⋊C4×C139C22×C414yes—
487C4⋊C4×C139C22×C414yes—
488C4⋊C4×C139C22×C414yes—
489C4⋊C4×C139C22×C414yes—
490C4⋊C4×C139C22×C414yes—
491C4⋊C4×C139C22×C414yes—
492C4⋊C4×C139C22×C414yes—
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—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139C22×C414yes—
515C22⋊C4×C139C22×C414yes—
516C22⋊C4×C139C22×C414yes—
517C22⋊C4×C139C22×C414yes—
518C22⋊C4×C139C22×C414yes—
519C22⋊C4×C139C22×C414yes—
520C22⋊C4×C139C22×C414yes—
521C22⋊C4×C139C22×C414yes—
522C22⋊C4×C139C22×C414yes—
523C22⋊C4×C139C22×C414yes—
524C22⋊C4×C139#4114yes—
525C42×C139—22no—
526C42×C139—22no—
527C42×C139—22no—
528C42×C139—22no—
529C42×C139—22no—
530C42×C139—22no—
531C42×C139—22no—
532C42×C139—22no—
533C42×C139—22no—
534C42×C139—41no—
535C42×C139—41no—
536C42×C139—41no—
537C42×C139—41no—
538C42×C139—41no—
539C42×C139—41no—
540C42×C139—41no—
541C42×C139—41no—
542C42×C139—41no—
543C42×C139—41no—
544C42×C139—41no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139—41no—
548C42×C139—41no—
549C42×C139C22×C414yes—
550C42×C139C22×C414yes—
551C42×C139C22×C414yes—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139C23×C412yes—
575C23×C139C23×C412yes—
576C23×C139C23×C412yes—
577C23×C139C23×C412yes—
578C23×C139C2×#4112yes—
579C23×C139C2×#4112yes—
580C23×C139C2511yescharacteristic
581D4×C139—28no—
582D4×C139—28no—
583D4×C139—28no—
584D4×C139—44no—
585D4×C139—44no—
586D4×C139—44no—
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—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—44no—
653C2×C4×C139—44no—
654C2×C4×C139—44no—
655C2×C4×C139—44no—
656C2×C4×C139—44no—
657C2×C4×C139—44no—
658C2×C4×C139—44no—
659C2×C4×C139—44no—
660C2×C4×C139—44no—
661C2×C4×C139—44no—
662C2×C4×C139—82no—
663C2×C4×C139—82no—
664C2×C4×C139—82no—
665C2×C4×C139—82no—
666C2×C4×C139—82no—
667C2×C4×C139—82no—
668C2×C4×C139C23×C412yes—
669C2×C4×C139C23×C412yes—
670C2×C4×C139C23×C412yes—
671C2×C4×C139C23×C412yes—
672C2×C4×C139C23×C412yes—
673C2×C4×C139C23×C412yes—
674C2×C4×C139C23×C412yes—
675C2×C4×C139C23×C412yes—
676C2×C4×C139C23×C412yes—
677C2×C4×C139C23×C412yes—
678C2×C4×C139C23×C412yes—
679C2×C4×C139C2×#4112yes—
680C2×C4×C139C2×#4112yes—
681C2×C4×C139C2×#4112yes—
682C2×C4×C139C2×#4112yes—
683C2×C4×C139H(5,𝔽2)12yes—
684C22×C139—22no—
685C22×C139—22no—
686C22×C139—22no—
687C22×C139—22no—
688C22×C139—22no—
689C22×C139—22no—
690C22×C139—22no—
691C22×C139—22no—
692C22×C139—22no—
693C22×C139—22no—
694C22×C139—22no—
695C22×C139—22no—
696C22×C139—22no—
697C22×C139—22no—
698C22×C139—22no—
699C22×C139—41no—
700C22×C139—41no—
701C22×C139—41no—
702C22×C139—41no—
703C22×C139—41no—
704C22×C139—41no—
705C22×C139—41no—
706C22×C139—41no—
707C22×C139—41no—
708C22×C139—41no—
709C22×C139—41no—
710C22×C139—41no—
711C22×C139C4×#4114yes—
712C22×C139C24×C411yescharacteristic
713C22×C139C22×#4111yescharacteristic
714C22×C139C22×#4111yescharacteristic
715C22×C139C2×H(5,𝔽2)11yescharacteristic
716C22×C139#58511yescharacteristic
717C22×C139#58511yescharacteristic
718C22×C139#58511yescharacteristic
719C4×C139—22no—
720C4×C139—22no—
721C4×C139—22no—
722C4×C139—22no—
723C4×C139—22no—
724C4×C139—22no—
725C4×C139—22no—
726C4×C139—22no—
727C4×C139—22no—
728C4×C139—22no—
729C4×C139—22no—
730C4×C139—22no—
731C4×C139—22no—
732C4×C139—22no—
733C4×C139—22no—
734C4×C139—22no—
735C4×C139—41no—
736C4×C139—41no—
737C4×C139—41no—
738C4×C139—41no—
739C4×C139—41no—
740C4×C139—41no—
741C4×C139—41no—
742C4×C139—41no—
743C4×C139—41no—
744C4×C139—41no—
745C4×C139—41no—
746C2×C139—24no—
747C2×C139—42no—
748C2×C139—42no—
749C2×C139—42no—
750C2×C139C2×C4×#4111yescharacteristic
751C2×C139#342811yescharacteristic
752C2×C139C4×H(5,𝔽2)11yescharacteristic
753C2×C139#350511yescharacteristic
754C2×C139#351211yescharacteristic
755C2×C139#351311yescharacteristic
756C2×C139#352111yescharacteristic
757#34325C13911yesmaximal, characteristic, direct product factor, Sylow
758C139#3432511yescharacteristic, direct product factor, Sylow
759C2×#553C2×C13911yescharacteristic
760#2374C2×C13911yescharacteristic, complemented
761#2373C2×C13911yescharacteristic, complemented
762#2373C2×C13911yescharacteristic, complemented
763#2371C2×C13911yescharacteristic, complemented
764#2364C2×C13911yescharacteristic, complemented
765#2364C2×C13911yescharacteristic, complemented
766#2364C2×C13911yescharacteristic, complemented
767#2361C2×C13911yescharacteristic, complemented
768#2359C2×C13911yescharacteristic, complemented
769#2353C2×C13911yescharacteristic, complemented
770#2353C2×C13911yescharacteristic, complemented
771#2353C2×C13911yescharacteristic, complemented
772#2352C2×C13911yescharacteristic, complemented
773#2345C2×C13911yescharacteristic, complemented
774#2343C2×C13911yescharacteristic, complemented
775#2336C2×C13911yescharacteristic, complemented
776#2335C2×C13911yescharacteristic, complemented
777#2334C2×C13911yescharacteristic, complemented
778#2333C2×C13911yescharacteristic, complemented
779#2325C2×C13911yescharacteristic, complemented
780#2325C2×C13911yescharacteristic, complemented
781C4×#126C2×C13911yescharacteristic, complemented
782C4×#123C2×C13911yescharacteristic, complemented
783C4×#121C2×C13911yescharacteristic, complemented
784#2298C2×C13911yescharacteristic, complemented
785#2290C2×C13911yescharacteristic, complemented
786C2×#387C2×C13911yescharacteristic, complemented
787#2275C2×C13911yescharacteristic, complemented
788#2275C2×C13911yescharacteristic, complemented
789C42×D4C2×C13911yescharacteristic, complemented
790#553C4×C139116yescomplemented
791C2×#126C22×C13911yescharacteristic
792C2×#126C22×C13911yescharacteristic
793C2×#125C22×C13911yescharacteristic
794C2×#123C22×C13911yescharacteristic
795C2×#123C22×C13911yescharacteristic
796C2×#121C22×C13911yescharacteristic
797C2×#121C22×C13911yescharacteristic
798C2×#121C22×C13911yescharacteristic
799C2×#121C22×C13911yescharacteristic
800C2×C4×D4C22×C13911yescharacteristic
801C2×C4×D4C22×C13911yescharacteristic
802C2×C4×D4C22×C13911yescharacteristic
803C2×C4×D4C22×C13911yescharacteristic
804C2×C4×D4C22×C13911yescharacteristic
805C2×C4×D4C22×C13911yescharacteristic
806C2×C4×D4C22×C13911yescharacteristic
807C2×C4×D4C22×C13911yescharacteristic
808C2×C4×D4C22×C13911yescharacteristic
809C2×C4×D4C22×C13911yescharacteristic
810C2×C4×D4C22×C13911yescharacteristic
811C2×C4×D4C22×C13911yescharacteristic
812C2×#117C22×C13911yescharacteristic
813C2×#117C22×C13911yescharacteristic
814C22×C4⋊C4C22×C13911yescharacteristic
815C22×C4⋊C4C22×C13911yescharacteristic
816C22×C42C22×C13911yescharacteristic
817C22×C42C22×C13911yescharacteristic
818#390C22×C13911yescharacteristic
819#390C22×C13911yescharacteristic
820#389C22×C13911yescharacteristic
821#389C22×C13911yescharacteristic
822#389C22×C13911yescharacteristic
823#389C22×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
842#387C22×C13911yescharacteristic
843#387C22×C13911yescharacteristic
844#387C22×C13911yescharacteristic
845#387C22×C13911yescharacteristic
846#387C22×C13911yescharacteristic
847#387C22×C13911yescharacteristic
848#387C22×C13911yescharacteristic
849#387C22×C13911yescharacteristic
850#387C22×C13911yescharacteristic
851#387C22×C13911yescharacteristic
852#387C22×C13911yescharacteristic
853#387C22×C13911yescharacteristic
854#387C22×C13911yescharacteristic
855#387C22×C13911yescharacteristic
856#387C22×C13911yescharacteristic
857#387C22×C13911yescharacteristic
858#387C22×C13911yescharacteristic
859#387C22×C13911yescharacteristic
860#387C22×C13911yescharacteristic
861#387C22×C13911yescharacteristic
862#387C22×C13911yescharacteristic
863#387C22×C13911yescharacteristic
864#387C22×C13911yescharacteristic
865#387C22×C13911yescharacteristic
866#387C22×C13911yescharacteristic
867#387C22×C13911yescharacteristic
868#386C22×C13911yescharacteristic
869#386C22×C13911yescharacteristic
870#386C22×C13911yescharacteristic
871#386C22×C13911yescharacteristic
872#386C22×C13911yescharacteristic
873#386C22×C13911yescharacteristic
874#386C22×C13911yescharacteristic
875#386C22×C13911yescharacteristic
876#386C22×C13911yescharacteristic
877#386C22×C13911yescharacteristic
878#386C22×C13911yescharacteristic
879#386C22×C13911yescharacteristic
880#386C22×C13911yescharacteristic
881#386C22×C13911yescharacteristic
882#385C22×C13911yescharacteristic
883#385C22×C13911yescharacteristic
884#385C22×C13911yescharacteristic
885#385C22×C13911yescharacteristic
886#385C22×C13911yescharacteristic
887#385C22×C13911yescharacteristic
888#383C22×C13911yescharacteristic
889#383C22×C13911yescharacteristic
890#382C22×C13911yescharacteristic
891#381C22×C13911yescharacteristic
892#381C22×C13911yescharacteristic
893#380C22×C13911yescharacteristic
894#380C22×C13911yescharacteristic
895#380C22×C13911yescharacteristic
896#380C22×C13911yescharacteristic
897C4×C4⋊C4C22×C13911yescharacteristic
898C4×C4⋊C4C22×C13911yescharacteristic
899C4×C4⋊C4C22×C13911yescharacteristic
900C4×C4⋊C4C22×C13911yescharacteristic
901C4×C4⋊C4C22×C13911yescharacteristic
902C4×C4⋊C4C22×C13911yescharacteristic
903C4×C4⋊C4C22×C13911yescharacteristic
904C4×C4⋊C4C22×C13911yescharacteristic
905C4×C4⋊C4C22×C13911yescharacteristic
906C4×C4⋊C4C22×C13911yescharacteristic
907C4×C4⋊C4C22×C13911yescharacteristic
908C4×C4⋊C4C22×C13911yescharacteristic
909C4×C4⋊C4C22×C13911yescharacteristic
910C4×C4⋊C4C22×C13911yescharacteristic
911C4×C22⋊C4C22×C13911yescharacteristic
912C4×C22⋊C4C22×C13911yescharacteristic
913C4×C22⋊C4C22×C13911yescharacteristic
914C4×C22⋊C4C22×C13911yescharacteristic
915C4×C22⋊C4C22×C13911yescharacteristic
916C4×C22⋊C4C22×C13911yescharacteristic
917C4×C22⋊C4C22×C13911yescharacteristic
918C4×C22⋊C4C22×C13911yescharacteristic
919C4×C22⋊C4C22×C13911yescharacteristic
920C4×C22⋊C4C22×C13911yescharacteristic
921C4×C22⋊C4C22×C13911yescharacteristic
922C4×C22⋊C4C22×C13911yescharacteristic
923C4×C22⋊C4C22×C13911yescharacteristic
924C4×C22⋊C4C22×C13911yescharacteristic
925C4×C22⋊C4C22×C13911yescharacteristic
926C4×C22⋊C4C22×C13911yescharacteristic
927C4×C22⋊C4C22×C13911yescharacteristic
928C4×C22⋊C4C22×C13911yescharacteristic
929C4×C22⋊C4C22×C13911yescharacteristic
930C4×C22⋊C4C22×C13911yescharacteristic
931C4×C22⋊C4C22×C13911yescharacteristic
932C4×C22⋊C4C22×C13911yescharacteristic
933C4×C22⋊C4C22×C13911yescharacteristic
934C4×C22⋊C4C22×C13911yescharacteristic
935#376C22×C13911yescharacteristic
936#376C22×C13911yescharacteristic
937#376C22×C13911yescharacteristic
938#376C22×C13911yescharacteristic
939C2×#95C22×C13911yescharacteristic
940C2×#95C22×C13911yescharacteristic
941C2×#95C22×C13911yescharacteristic
942C2×#95C22×C13911yescharacteristic
943C2×#95C22×C13911yescharacteristic
944C2×#95C22×C13911yescharacteristic
945C43C22×C13911yescharacteristic
946C22×D4C23×C13911yescharacteristic
947C22×D4C23×C13911yescharacteristic
948C22×D4C23×C13911yescharacteristic
949C22×D4C23×C13911yescharacteristic
950C22×D4C23×C13911yescharacteristic
951C22×D4C23×C13911yescharacteristic
952C23×C4C23×C13911yescharacteristic
953C23×C4C23×C13911yescharacteristic
954C23×C4C23×C13911yescharacteristic
955C23×C4C23×C13911yescharacteristic
956C23×C4C23×C13911yescharacteristic
957C23×C4C23×C13911yescharacteristic
958C23×C4C23×C13911yescharacteristic
959C23×C4C23×C13911yescharacteristic
960C23×C4C23×C13911yescharacteristic
961C23×C4C23×C13911yescharacteristic
962C23×C4C23×C13911yescharacteristic
963C23×C4C23×C13911yescharacteristic
964C23×C4C23×C13911yescharacteristic
965C23×C4C23×C13911yescharacteristic
966C23×C4C23×C13911yescharacteristic
967C23×C4C23×C13911yescharacteristic
968#126C2×C4×C13918yescomplemented
969#126C2×C4×C13918yescomplemented
970#125C2×C4×C13918yescomplemented
971#123C2×C4×C13918yescomplemented
972#123C2×C4×C13918yescomplemented
973#121C2×C4×C13918yescomplemented
974#121C2×C4×C13918yescomplemented
975#121C2×C4×C13918yescomplemented
976#121C2×C4×C13918yescomplemented
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4C2×C4×C13918yescomplemented
986C4×D4C2×C4×C13918yescomplemented
987C4×D4C2×C4×C13918yescomplemented
988C4×D4C2×C4×C13918yescomplemented
989#117—42no—
990#117C2×C4×C13918yescomplemented
991C2×C4⋊C4—42no—
992C2×C4⋊C4C2×C4×C13918yescomplemented
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C4⋊C4C23×C13911yescharacteristic
999C2×C4⋊C4C23×C13911yescharacteristic
1000C2×C4⋊C4C23×C13911yescharacteristic
1001C2×C4⋊C4C23×C13911yescharacteristic
1002C2×C4⋊C4C23×C13911yescharacteristic
1003C2×C4⋊C4C23×C13911yescharacteristic
1004C2×C4⋊C4C23×C13911yescharacteristic
1005C2×C4⋊C4C23×C13911yescharacteristic
1006C2×C4⋊C4C23×C13911yescharacteristic
1007C2×C4⋊C4C23×C13911yescharacteristic
1008C2×C4⋊C4C23×C13911yescharacteristic
1009C2×C4⋊C4C23×C13911yescharacteristic
1010C2×C4⋊C4C23×C13911yescharacteristic
1011C2×C4⋊C4C23×C13911yescharacteristic
1012C2×C4⋊C4C23×C13911yescharacteristic
1013C2×C4⋊C4C23×C13911yescharacteristic
1014C2×C4⋊C4C23×C13911yescharacteristic
1015C2×C4⋊C4C23×C13911yescharacteristic
1016C2×C4⋊C4C23×C13911yescharacteristic
1017C2×C4⋊C4C23×C13911yescharacteristic
1018C2×C4⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C22⋊C4C23×C13911yescharacteristic
1026C2×C22⋊C4C23×C13911yescharacteristic
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C42—42no—
1052C2×C42—42no—
1053C2×C42C23×C13911yescharacteristic
1054C2×C42C23×C13911yescharacteristic
1055C2×C42C23×C13911yescharacteristic
1056C2×C42C23×C13911yescharacteristic
1057C2×C42C23×C13911yescharacteristic
1058C2×C42C23×C13911yescharacteristic
1059C2×C42C23×C13911yescharacteristic
1060C2×C42C23×C13911yescharacteristic
1061C2×C42C23×C13911yescharacteristic
1062C2×C42C23×C13911yescharacteristic
1063C2×C42C23×C13911yescharacteristic
1064C2×C42C23×C13911yescharacteristic
1065C2×C42C23×C13911yescharacteristic
1066C2×C42C23×C13911yescharacteristic
1067C2×C42C23×C13911yescharacteristic
1068C2×C42C23×C13911yescharacteristic
1069C2×C42C23×C13911yescharacteristic
1070C2×C42C23×C13911yescharacteristic
1071C2×C42C23×C13911yescharacteristic
1072C2×C42C23×C13911yescharacteristic
1073C2×C42C23×C13911yescharacteristic
1074C2×C42C23×C13911yescharacteristic
1075C2×C42C23×C13911yescharacteristic
1076C2×C42C23×C13911yescharacteristic
1077C2×C42C23×C13911yescharacteristic
1078C2×C42C23×C13911yescharacteristic
1079C2×C42C23×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
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110#95C23×C13911yescharacteristic
1111#95C23×C13911yescharacteristic
1112#95C23×C13911yescharacteristic
1113#95C23×C13911yescharacteristic
1114#95C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127#95C23×C13911yescharacteristic
1128C24C24×C13911yescharacteristic
1129C24C24×C13911yescharacteristic
1130C24C24×C13911yescharacteristic
1131C24C24×C13911yescharacteristic
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4C22×C4×C13914yes—
1145C2×D4C22×C4×C13914yes—
1146C2×D4C22×C4×C13914yes—
1147C2×D4C22×C4×C13914yes—
1148C2×D4C22×C4×C13914yes—
1149C2×D4C22×C4×C13914yes—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4C22×C4×C13914yes—
1192C22×C4C22×C4×C13914yes—
1193C22×C4C22×C4×C13914yes—
1194C22×C4C22×C4×C13914yes—
1195C22×C4C22×C4×C13914yes—
1196C22×C4C22×C4×C13914yes—
1197C22×C4#41×C13914yes—
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
1200C22×C4C24×C13911yescharacteristic
1201C22×C4C24×C13911yescharacteristic
1202C22×C4C24×C13911yescharacteristic
1203C22×C4C24×C13911yescharacteristic
1204C22×C4C24×C13911yescharacteristic
1205C22×C4C24×C13911yescharacteristic
1206C22×C4C24×C13911yescharacteristic
1207C22×C4C24×C13911yescharacteristic
1208C22×C4C24×C13911yescharacteristic
1209C22×C4C24×C13911yescharacteristic
1210C22×C4C24×C13911yescharacteristic
1211C22×C4C24×C13911yescharacteristic
1212C22×C4C24×C13911yescharacteristic
1213C22×C4C24×C13911yescharacteristic
1214C22×C4C24×C13911yescharacteristic
1215C22×C4C24×C13911yescharacteristic
1216C22×C4C24×C13911yescharacteristic
1217C22×C4C24×C13911yescharacteristic
1218C22×C4C24×C13911yescharacteristic
1219C22×C4C24×C13911yescharacteristic
1220C22×C4C24×C13911yescharacteristic
1221C22×C4C24×C13911yescharacteristic
1222C22×C4C24×C13911yescharacteristic
1223C22×C4C24×C13911yescharacteristic
1224C22×C4C24×C13911yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4C22×C4×C13914yes—
1242C4⋊C4C22×C4×C13914yes—
1243C4⋊C4C22×C4×C13914yes—
1244C4⋊C4C22×C4×C13914yes—
1245C4⋊C4C22×C4×C13914yes—
1246C4⋊C4C22×C4×C13914yes—
1247C4⋊C4C22×C4×C13914yes—
1248C4⋊C4C22×C4×C13914yes—
1249C4⋊C4C22×C4×C13914yes—
1250C4⋊C4C22×C4×C13914yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4C22×C4×C13914yes—
1273C22⋊C4C22×C4×C13914yes—
1274C22⋊C4C22×C4×C13914yes—
1275C22⋊C4C22×C4×C13914yes—
1276C22⋊C4C22×C4×C13914yes—
1277C22⋊C4C22×C4×C13914yes—
1278C22⋊C4C22×C4×C13914yes—
1279C22⋊C4C22×C4×C13914yes—
1280C22⋊C4C22×C4×C13914yes—
1281C22⋊C4C22×C4×C13914yes—
1282C22⋊C4#41×C13914yes—
1283C42—22no—
1284C42—22no—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42C22×C4×C13914yes—
1308C42C22×C4×C13914yes—
1309C42C22×C4×C13914yes—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23C23×C4×C13912yes—
1333C23C23×C4×C13912yes—
1334C23C23×C4×C13912yes—
1335C23C23×C4×C13912yes—
1336C23C2×#41×C13912yes—
1337C23C2×#41×C13912yes—
1338C23C25×C13911yescharacteristic
1339D4—28no—
1340D4—28no—
1341D4—28no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
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—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—82no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4C23×C4×C13912yes—
1427C2×C4C23×C4×C13912yes—
1428C2×C4C23×C4×C13912yes—
1429C2×C4C23×C4×C13912yes—
1430C2×C4C23×C4×C13912yes—
1431C2×C4C23×C4×C13912yes—
1432C2×C4C23×C4×C13912yes—
1433C2×C4C23×C4×C13912yes—
1434C2×C4C23×C4×C13912yes—
1435C2×C4C23×C4×C13912yes—
1436C2×C4C23×C4×C13912yes—
1437C2×C4C2×#41×C13912yes—
1438C2×C4C2×#41×C13912yes—
1439C2×C4C2×#41×C13912yes—
1440C2×C4C2×#41×C13912yes—
1441C2×C4H(5,𝔽2)×C13912yes—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22C4×#41×C13914yes—
1470C22C24×C4×C13911yescharacteristic
1471C22C22×#41×C13911yescharacteristic
1472C22C22×#41×C13911yescharacteristic
1473C22C2×H(5,𝔽2)×C13911yescharacteristic
1474C22#585×C13911yescharacteristic
1475C22#585×C13911yescharacteristic
1476C22#585×C13911yescharacteristic
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C2—24no—
1505C2—42no—
1506C2—42no—
1507C2—42no—
1508C2C2×C4×#41×C13911yescharacteristic
1509C2#3428×C13911yescharacteristic
1510C2C4×H(5,𝔽2)×C13911yescharacteristic
1511C2#3505×C13911yescharacteristic
1512C2#3512×C13911yescharacteristic
1513C2#3513×C13911yescharacteristic
1514C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#553×C139C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2374×C139C2semidirect
3. #2373×C139C2semidirect
4. #2373×C139C2semidirect
5. #2371×C139C2semidirect
6. #2364×C139C2semidirect
7. #2364×C139C2semidirect
8. #2364×C139C2semidirect
9. #2361×C139C2semidirect
10. #2359×C139C2semidirect
11. #2353×C139C2semidirect
12. #2353×C139C2semidirect
13. #2353×C139C2semidirect
14. #2352×C139C2semidirect
15. #2345×C139C2semidirect
16. #2343×C139C2semidirect
17. #2336×C139C2semidirect
18. #2335×C139C2semidirect
19. #2334×C139C2semidirect
20. #2333×C139C2semidirect
21. #2325×C139C2semidirect
22. #2325×C139C2semidirect
23. C4×#126×C139C2semidirect
24. C4×#123×C139C2semidirect
25. C4×#121×C139C2semidirect
26. #2298×C139C2semidirect
27. #2290×C139C2semidirect
28. C2×#387×C139C2semidirect
29. #2275×C139C2semidirect
30. #2275×C139C2semidirect
31. C42×D4×C139C2semidirect
32. #553×C139C4semidirect
210. #126×C139C2×C4semidirect
211. #126×C139C2×C4semidirect
212. #125×C139C2×C4semidirect
213. #123×C139C2×C4semidirect
214. #123×C139C2×C4semidirect
215. #121×C139C2×C4semidirect
216. #121×C139C2×C4semidirect
217. #121×C139C2×C4semidirect
218. #121×C139C2×C4semidirect
227. C4×D4×C139C2×C4semidirect
228. C4×D4×C139C2×C4semidirect
229. C4×D4×C139C2×C4semidirect
230. C4×D4×C139C2×C4semidirect
232. #117×C139C2×C4semidirect
234. C2×C4⋊C4×C139C2×C4semidirect
757. #34325C139direct (N × H)
758. C139#34325direct (N × H)
760. #2374C2×C139semidirect
761. #2373C2×C139semidirect
762. #2373C2×C139semidirect
763. #2371C2×C139semidirect
764. #2364C2×C139semidirect
765. #2364C2×C139semidirect
766. #2364C2×C139semidirect
767. #2361C2×C139semidirect
768. #2359C2×C139semidirect
769. #2353C2×C139semidirect
770. #2353C2×C139semidirect
771. #2353C2×C139semidirect
772. #2352C2×C139semidirect
773. #2345C2×C139semidirect
774. #2343C2×C139semidirect
775. #2336C2×C139semidirect
776. #2335C2×C139semidirect
777. #2334C2×C139semidirect
778. #2333C2×C139semidirect
779. #2325C2×C139semidirect
780. #2325C2×C139semidirect
781. C4×#126C2×C139semidirect
782. C4×#123C2×C139semidirect
783. C4×#121C2×C139semidirect
784. #2298C2×C139semidirect
785. #2290C2×C139semidirect
786. C2×#387C2×C139semidirect
787. #2275C2×C139semidirect
788. #2275C2×C139semidirect
789. C42×D4C2×C139semidirect
790. #553C4×C139semidirect
968. #126C2×C4×C139semidirect
969. #126C2×C4×C139semidirect
970. #125C2×C4×C139semidirect
971. #123C2×C4×C139semidirect
972. #123C2×C4×C139semidirect
973. #121C2×C4×C139semidirect
974. #121C2×C4×C139semidirect
975. #121C2×C4×C139semidirect
976. #121C2×C4×C139semidirect
985. C4×D4C2×C4×C139semidirect
986. C4×D4C2×C4×C139semidirect
987. C4×D4C2×C4×C139semidirect
988. C4×D4C2×C4×C139semidirect
990. #117C2×C4×C139semidirect
992. C2×C4⋊C4C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#553×C1392
#2374×C1392
#2373×C1392
#2371×C1392
#2364×C1392
#2361×C1392
#2359×C1392
#2353×C1392
#2352×C1392
#2345×C1392
#2343×C1392
#2336×C1392
#2335×C1392
#2334×C1392
#2333×C1392
#2325×C1392
C4×#126×C1392
C4×#123×C1392
C4×#121×C1392
#2298×C1392
#2290×C1392
C2×#387×C1392
#2275×C1392
C42×D4×C1392
#34325139