Finite Group Databasebeta

← C139×#35027 #48029623

Subgroups — C139×#35027 #48029623

Order 35584.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2866×C139C211yesmaximal, characteristic, complemented
2#2865×C139C211yesmaximal, characteristic, complemented
3#2853×C139C211yesmaximal, characteristic, complemented
4#2852×C139C211yesmaximal, characteristic, complemented
5#2654×C139C211yesmaximal, characteristic, complemented
6#2653×C139C211yesmaximal, characteristic, complemented
7#2650×C139C211yesmaximal, characteristic, complemented
8#2649×C139C211yesmaximal, characteristic, complemented
9#2597×C139C211yesmaximal, characteristic, complemented
10#2596×C139C211yesmaximal, characteristic, complemented
11#2595×C139C211yesmaximal, characteristic, complemented
12#2594×C139C211yesmaximal, characteristic, complemented
13#2569×C139C211yesmaximal, characteristic, complemented
14#2564×C139C211yesmaximal, characteristic, complemented
15#2561×C139C211yesmaximal, characteristic, complemented
16#2534×C139C211yesmaximal, characteristic
17#2525×C139C211yesmaximal, characteristic, complemented
18#2516×C139C211yesmaximal, characteristic, complemented
19#2493×C139C211yesmaximal, characteristic, complemented
20#2480×C139C211yesmaximal, characteristic, complemented
21#2469×C139C211yesmaximal, characteristic, complemented
22#2458×C139C211yesmaximal, characteristic, complemented
23#2419×C139C211yesmaximal, characteristic, complemented
24#2418×C139C211yesmaximal, characteristic
25#2322×C139C211yesmaximal, characteristic, complemented
26#2321×C139C211yesmaximal, characteristic
27#2313×C139C211yesmaximal, characteristic, complemented
28#2312×C139C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C139C211yesmaximal, characteristic, complemented
30C2×#388×C139C211yesmaximal, characteristic, complemented
31C42×D4×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#123×C139C2211yescharacteristic
34C2×#123×C139C2211yescharacteristic
35C2×C22⋊Q8×C139C2211yescharacteristic
36C2×#120×C139C2211yescharacteristic
37C2×C4×Q8×C139C2211yescharacteristic, complemented
38C2×C4×D4×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C22×C4⋊C4×C139C2211yescharacteristic
42C22×C22⋊C4×C139C2211yescharacteristic
43C22×C22⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C42×C139C2211yescharacteristic
46C22×C42×C139C2211yescharacteristic, complemented
47#401×C139C2211yescharacteristic, complemented
48#400×C139C2211yescharacteristic, complemented
49#400×C139C2211yescharacteristic, complemented
50#400×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic, complemented
57#398×C139C2211yescharacteristic, complemented
58#398×C139C2211yescharacteristic, complemented
59#398×C139C2211yescharacteristic, complemented
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic
64#397×C139C2211yescharacteristic
65#397×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic, complemented
67#397×C139C2211yescharacteristic, complemented
68#396×C139C2211yescharacteristic
69#396×C139C2211yescharacteristic
70#396×C139C2211yescharacteristic
71#395×C139C2211yescharacteristic, complemented
72#394×C139C2211yescharacteristic
73#394×C139C2211yescharacteristic
74#394×C139C2211yescharacteristic
75#394×C139C2211yescharacteristic
76#393×C139C2211yescharacteristic
77#393×C139C2211yescharacteristic
78#393×C139C2211yescharacteristic, complemented
79#391×C139C2211yescharacteristic, complemented
80#390×C139C2211yescharacteristic
81#390×C139C2211yescharacteristic
82#389×C139C2211yescharacteristic, complemented
83#389×C139C2211yescharacteristic, complemented
84#389×C139C2211yescharacteristic, complemented
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
106#388×C139C2211yescharacteristic
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic, complemented
117#388×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#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#387×C139C2211yescharacteristic, complemented
132#387×C139C2211yescharacteristic, complemented
133#387×C139C2211yescharacteristic, complemented
134#387×C139C2211yescharacteristic, complemented
135#387×C139C2211yescharacteristic, complemented
136#387×C139C2211yescharacteristic, complemented
137#387×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#387×C139C2211yescharacteristic, complemented
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#385×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic, complemented
153#385×C139C2211yescharacteristic, complemented
154#385×C139C2211yescharacteristic, complemented
155#385×C139C2211yescharacteristic, complemented
156#385×C139C2211yescharacteristic, complemented
157#383×C139C2211yescharacteristic, complemented
158#381×C139C2211yescharacteristic
159#381×C139C2211yescharacteristic
160#381×C139C2211yescharacteristic
161#381×C139C2211yescharacteristic, complemented
162#380×C139C2211yescharacteristic
163#380×C139C2211yescharacteristic
164#380×C139C2211yescharacteristic
165#380×C139C2211yescharacteristic
166#380×C139C2211yescharacteristic
167#379×C139C2211yescharacteristic
168#379×C139C2211yescharacteristic
169#379×C139C2211yescharacteristic
170C4×C4⋊C4×C139C2211yescharacteristic, complemented
171C4×C4⋊C4×C139C2211yescharacteristic, complemented
172C4×C4⋊C4×C139C2211yescharacteristic, complemented
173C4×C4⋊C4×C139C2211yescharacteristic, complemented
174C4×C4⋊C4×C139C2211yescharacteristic, complemented
175C4×C4⋊C4×C139C2211yescharacteristic, complemented
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C43×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×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
201#126×C139—42no—
202#123×C139—24no—
203#123×C139—42no—
204C22⋊Q8×C139—24no—
205#120×C139—24no—
206C4×Q8×C139—42no—
207C4×D4×C139—24no—
208C4×D4×C139—24no—
209C4×D4×C139—24no—
210C2×C4⋊C4×C139—24no—
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C4⋊C4×C139C2311yescharacteristic
213C2×C4⋊C4×C139C2311yescharacteristic
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×C22⋊C4×C139—24no—
242C2×C22⋊C4×C139—24no—
243C2×C22⋊C4×C139—42no—
244C2×C22⋊C4×C139C2311yescharacteristic
245C2×C22⋊C4×C139C2311yescharacteristic
246C2×C22⋊C4×C139C2311yescharacteristic
247C2×C22⋊C4×C139C2311yescharacteristic
248C2×C22⋊C4×C139C2311yescharacteristic
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×C42×C139—42no—
287C2×C42×C139—42no—
288C2×C42×C139C2311yescharacteristic
289C2×C42×C139C2311yescharacteristic
290C2×C42×C139C2311yescharacteristic
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
305#95×C139C2311yescharacteristic
306#95×C139C2311yescharacteristic
307#95×C139C2311yescharacteristic
308#95×C139C2311yescharacteristic
309#95×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
357C24×C139—22no—
358C24×C139—22no—
359C24×C139—22no—
360C24×C139—41no—
361C24×C139—41no—
362C24×C139—41no—
363C24×C139—41no—
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C24×C139C2411yescharacteristic
368C2×Q8×C139—22no—
369C2×Q8×C139—41no—
370C2×Q8×C139—41no—
371C2×D4×C139—22no—
372C2×D4×C139—22no—
373C2×D4×C139—22no—
374C2×D4×C139—22no—
375C2×D4×C139—41no—
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—41no—
392C22×C4×C139—41no—
393C22×C4×C139—41no—
394C22×C4×C139—41no—
395C22×C4×C139—41no—
396C22×C4×C139—41no—
397C22×C4×C139—41no—
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#4114yes—
406C22×C4×C139#4114yes—
407C22×C4×C139C2411yescharacteristic
408C22×C4×C139C2411yescharacteristic
409C22×C4×C139C2411yescharacteristic
410C22×C4×C139C2411yescharacteristic
411C22×C4×C139C2411yescharacteristic
412C22×C4×C139C2411yescharacteristic
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
434C4⋊C4×C139—22no—
435C4⋊C4×C139—22no—
436C4⋊C4×C139—22no—
437C4⋊C4×C139—22no—
438C4⋊C4×C139—22no—
439C4⋊C4×C139—22no—
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—41no—
449C4⋊C4×C139—41no—
450C4⋊C4×C139—41no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
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—
464C22⋊C4×C139—22no—
465C22⋊C4×C139—22no—
466C22⋊C4×C139—22no—
467C22⋊C4×C139—22no—
468C22⋊C4×C139—22no—
469C22⋊C4×C139—22no—
470C22⋊C4×C139—22no—
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—41no—
489C22⋊C4×C139—41no—
490C22⋊C4×C139—41no—
491C22⋊C4×C139—41no—
492C22⋊C4×C139—41no—
493C22⋊C4×C139—41no—
494C22⋊C4×C139—41no—
495C22⋊C4×C139—41no—
496C22⋊C4×C139—41no—
497C22⋊C4×C139—41no—
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—
506C42×C139—22no—
507C42×C139—22no—
508C42×C139—22no—
509C42×C139—22no—
510C42×C139—22no—
511C42×C139—22no—
512C42×C139—41no—
513C42×C139—41no—
514C42×C139—41no—
515C42×C139—41no—
516C42×C139—41no—
517C42×C139—41no—
518C42×C139—41no—
519C42×C139—41no—
520C42×C139—41no—
521C42×C139—41no—
522C42×C139—41no—
523C23×C139—21no—
524C23×C139—21no—
525C23×C139—21no—
526C23×C139—21no—
527C23×C139—21no—
528C23×C139—21no—
529C23×C139—21no—
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—44no—
548C23×C139—44no—
549C23×C139—44no—
550C23×C139—82no—
551C23×C139—82no—
552C23×C139—82no—
553C23×C139—82no—
554C23×C139C2×#4112yes—
555C23×C139C2×#4112yes—
556C23×C139C2×#4112yes—
557C23×C139C2×#4112yes—
558C23×C139C2511yescharacteristic
559Q8×C139—44no—
560D4×C139—28no—
561D4×C139—82no—
562D4×C139—82no—
563C2×C4×C139—21no—
564C2×C4×C139—21no—
565C2×C4×C139—21no—
566C2×C4×C139—21no—
567C2×C4×C139—21no—
568C2×C4×C139—21no—
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—44no—
639C2×C4×C139—44no—
640C2×C4×C139—44no—
641C2×C4×C139—44no—
642C2×C4×C139—44no—
643C2×C4×C139—44no—
644C2×C4×C139—44no—
645C2×C4×C139—82no—
646C2×C4×C139—82no—
647C2×C4×C139C2×#4112yes—
648C2×C4×C139C2×#4112yes—
649C2×C4×C139C2×#4112yes—
650C2×C4×C139C2×#4112yes—
651C2×C4×C139C2×#4112yes—
652C2×C4×C139H(5,𝔽2)12yes—
653C22×C139—22no—
654C22×C139—22no—
655C22×C139—22no—
656C22×C139—22no—
657C22×C139—22no—
658C22×C139—22no—
659C22×C139—22no—
660C22×C139—22no—
661C22×C139—22no—
662C22×C139—41no—
663C22×C139—41no—
664C22×C139—41no—
665C22×C139—41no—
666C22×C139—41no—
667C22×C139—41no—
668C22×C139—41no—
669C22×C139—41no—
670C22×C139—41no—
671C22×C139—41no—
672C22×C139—41no—
673C22×C139—41no—
674C22×C139—41no—
675C22×C139—41no—
676C22×C139—41no—
677C22×C139—41no—
678C22×C139—41no—
679C22×C139—41no—
680C22×C139—88no—
681C22×C139#52914yes—
682C22×C139C22×#4111yescharacteristic
683C22×C139C22×#4111yescharacteristic
684C22×C139C22×#4111yescharacteristic
685C22×C139C2×H(5,𝔽2)11yescharacteristic
686C22×C139#58511yescharacteristic
687C22×C139#58511yescharacteristic
688C22×C139#58511yescharacteristic
689C4×C139—22no—
690C4×C139—22no—
691C4×C139—22no—
692C4×C139—22no—
693C4×C139—22no—
694C4×C139—22no—
695C4×C139—41no—
696C4×C139—41no—
697C4×C139—41no—
698C4×C139—41no—
699C4×C139—41no—
700C4×C139—41no—
701C4×C139—41no—
702C4×C139—41no—
703C4×C139—41no—
704C4×C139—41no—
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—
716C2×C139—24no—
717C2×C139—42no—
718C2×C139—81no—
719C2×C139—81no—
720C2×C139C2×#52911yescharacteristic
721C2×C139#345511yescharacteristic
722C2×C139#345911yescharacteristic
723C2×C139#350511yescharacteristic
724C2×C139#351011yescharacteristic
725C2×C139#351311yescharacteristic
726C2×C139#352111yescharacteristic
727#35027C13911yesmaximal, characteristic, direct product factor, Sylow
728C139#3502711yescharacteristic, direct product factor, Sylow
729#2866C2×C13911yescharacteristic, complemented
730#2865C2×C13911yescharacteristic, complemented
731#2853C2×C13911yescharacteristic, complemented
732#2852C2×C13911yescharacteristic, complemented
733#2654C2×C13911yescharacteristic, complemented
734#2653C2×C13911yescharacteristic, complemented
735#2650C2×C13911yescharacteristic, complemented
736#2649C2×C13911yescharacteristic, complemented
737#2597C2×C13911yescharacteristic, complemented
738#2596C2×C13911yescharacteristic, complemented
739#2595C2×C13911yescharacteristic, complemented
740#2594C2×C13911yescharacteristic, complemented
741#2569C2×C13911yescharacteristic, complemented
742#2564C2×C13911yescharacteristic, complemented
743#2561C2×C13911yescharacteristic, complemented
744#2534C2×C13911yescharacteristic
745#2525C2×C13911yescharacteristic, complemented
746#2516C2×C13911yescharacteristic, complemented
747#2493C2×C13911yescharacteristic, complemented
748#2480C2×C13911yescharacteristic, complemented
749#2469C2×C13911yescharacteristic, complemented
750#2458C2×C13911yescharacteristic, complemented
751#2419C2×C13911yescharacteristic, complemented
752#2418C2×C13911yescharacteristic
753#2322C2×C13911yescharacteristic, complemented
754#2321C2×C13911yescharacteristic
755#2313C2×C13911yescharacteristic, complemented
756#2312C2×C13911yescharacteristic, complemented
757C4×C22⋊Q8C2×C13911yescharacteristic, complemented
758C2×#388C2×C13911yescharacteristic, complemented
759C42×D4C2×C13911yescharacteristic, complemented
760C2×#126C22×C13911yescharacteristic
761C2×#123C22×C13911yescharacteristic
762C2×#123C22×C13911yescharacteristic
763C2×C22⋊Q8C22×C13911yescharacteristic
764C2×#120C22×C13911yescharacteristic
765C2×C4×Q8C22×C13911yescharacteristic, complemented
766C2×C4×D4C22×C13911yescharacteristic
767C2×C4×D4C22×C13911yescharacteristic
768C2×C4×D4C22×C13911yescharacteristic
769C22×C4⋊C4C22×C13911yescharacteristic
770C22×C22⋊C4C22×C13911yescharacteristic
771C22×C22⋊C4C22×C13911yescharacteristic
772C22×C22⋊C4C22×C13911yescharacteristic
773C22×C42C22×C13911yescharacteristic
774C22×C42C22×C13911yescharacteristic, complemented
775#401C22×C13911yescharacteristic, complemented
776#400C22×C13911yescharacteristic, complemented
777#400C22×C13911yescharacteristic, complemented
778#400C22×C13911yescharacteristic, complemented
779#400C22×C13911yescharacteristic, complemented
780#400C22×C13911yescharacteristic, complemented
781#400C22×C13911yescharacteristic, complemented
782#400C22×C13911yescharacteristic, complemented
783#399C22×C13911yescharacteristic
784#399C22×C13911yescharacteristic, complemented
785#398C22×C13911yescharacteristic, complemented
786#398C22×C13911yescharacteristic, complemented
787#398C22×C13911yescharacteristic, complemented
788#397C22×C13911yescharacteristic
789#397C22×C13911yescharacteristic
790#397C22×C13911yescharacteristic
791#397C22×C13911yescharacteristic
792#397C22×C13911yescharacteristic
793#397C22×C13911yescharacteristic
794#397C22×C13911yescharacteristic, complemented
795#397C22×C13911yescharacteristic, complemented
796#396C22×C13911yescharacteristic
797#396C22×C13911yescharacteristic
798#396C22×C13911yescharacteristic
799#395C22×C13911yescharacteristic, complemented
800#394C22×C13911yescharacteristic
801#394C22×C13911yescharacteristic
802#394C22×C13911yescharacteristic
803#394C22×C13911yescharacteristic
804#393C22×C13911yescharacteristic
805#393C22×C13911yescharacteristic
806#393C22×C13911yescharacteristic, complemented
807#391C22×C13911yescharacteristic, complemented
808#390C22×C13911yescharacteristic
809#390C22×C13911yescharacteristic
810#389C22×C13911yescharacteristic, complemented
811#389C22×C13911yescharacteristic, complemented
812#389C22×C13911yescharacteristic, complemented
813#388C22×C13911yescharacteristic
814#388C22×C13911yescharacteristic
815#388C22×C13911yescharacteristic
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
842#388C22×C13911yescharacteristic
843#388C22×C13911yescharacteristic
844#388C22×C13911yescharacteristic, complemented
845#388C22×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#387C22×C13911yescharacteristic, complemented
865#387C22×C13911yescharacteristic, complemented
866#387C22×C13911yescharacteristic, complemented
867#387C22×C13911yescharacteristic, complemented
868#387C22×C13911yescharacteristic, complemented
869#386C22×C13911yescharacteristic
870#386C22×C13911yescharacteristic
871#386C22×C13911yescharacteristic
872#386C22×C13911yescharacteristic
873#386C22×C13911yescharacteristic
874#386C22×C13911yescharacteristic
875#386C22×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#385C22×C13911yescharacteristic, complemented
885#383C22×C13911yescharacteristic, complemented
886#381C22×C13911yescharacteristic
887#381C22×C13911yescharacteristic
888#381C22×C13911yescharacteristic
889#381C22×C13911yescharacteristic, complemented
890#380C22×C13911yescharacteristic
891#380C22×C13911yescharacteristic
892#380C22×C13911yescharacteristic
893#380C22×C13911yescharacteristic
894#380C22×C13911yescharacteristic
895#379C22×C13911yescharacteristic
896#379C22×C13911yescharacteristic
897#379C22×C13911yescharacteristic
898C4×C4⋊C4C22×C13911yescharacteristic, complemented
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×C22⋊C4C22×C13911yescharacteristic
905C4×C22⋊C4C22×C13911yescharacteristic
906C4×C22⋊C4C22×C13911yescharacteristic
907C4×C22⋊C4C22×C13911yescharacteristic
908C4×C22⋊C4C22×C13911yescharacteristic
909C4×C22⋊C4C22×C13911yescharacteristic, complemented
910C4×C22⋊C4C22×C13911yescharacteristic, complemented
911C4×C22⋊C4C22×C13911yescharacteristic, complemented
912C2×#95C22×C13911yescharacteristic
913C2×#95C22×C13911yescharacteristic
914C43C22×C13911yescharacteristic, complemented
915C25C23×C13911yescharacteristic
916C22×Q8C23×C13911yescharacteristic
917C22×D4C23×C13911yescharacteristic
918C22×D4C23×C13911yescharacteristic
919C22×D4C23×C13911yescharacteristic
920C23×C4C23×C13911yescharacteristic
921C23×C4C23×C13911yescharacteristic
922C23×C4C23×C13911yescharacteristic
923C23×C4C23×C13911yescharacteristic
924C23×C4C23×C13911yescharacteristic
925C23×C4C23×C13911yescharacteristic
926C23×C4C23×C13911yescharacteristic
927C23×C4C23×C13911yescharacteristic
928C23×C4C23×C13911yescharacteristic
929#126—42no—
930#123—24no—
931#123—42no—
932C22⋊Q8—24no—
933#120—24no—
934C4×Q8—42no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4C23×C13911yescharacteristic
940C2×C4⋊C4C23×C13911yescharacteristic
941C2×C4⋊C4C23×C13911yescharacteristic
942C2×C4⋊C4C23×C13911yescharacteristic
943C2×C4⋊C4C23×C13911yescharacteristic
944C2×C4⋊C4C23×C13911yescharacteristic
945C2×C4⋊C4C23×C13911yescharacteristic
946C2×C4⋊C4C23×C13911yescharacteristic
947C2×C4⋊C4C23×C13911yescharacteristic
948C2×C4⋊C4C23×C13911yescharacteristic
949C2×C4⋊C4C23×C13911yescharacteristic
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×C22⋊C4—24no—
970C2×C22⋊C4—24no—
971C2×C22⋊C4—42no—
972C2×C22⋊C4C23×C13911yescharacteristic
973C2×C22⋊C4C23×C13911yescharacteristic
974C2×C22⋊C4C23×C13911yescharacteristic
975C2×C22⋊C4C23×C13911yescharacteristic
976C2×C22⋊C4C23×C13911yescharacteristic
977C2×C22⋊C4C23×C13911yescharacteristic
978C2×C22⋊C4C23×C13911yescharacteristic
979C2×C22⋊C4C23×C13911yescharacteristic
980C2×C22⋊C4C23×C13911yescharacteristic
981C2×C22⋊C4C23×C13911yescharacteristic
982C2×C22⋊C4C23×C13911yescharacteristic
983C2×C22⋊C4C23×C13911yescharacteristic
984C2×C22⋊C4C23×C13911yescharacteristic
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×C42—42no—
1015C2×C42—42no—
1016C2×C42C23×C13911yescharacteristic
1017C2×C42C23×C13911yescharacteristic
1018C2×C42C23×C13911yescharacteristic
1019C2×C42C23×C13911yescharacteristic
1020C2×C42C23×C13911yescharacteristic
1021C2×C42C23×C13911yescharacteristic
1022C2×C42C23×C13911yescharacteristic
1023C2×C42C23×C13911yescharacteristic
1024C2×C42C23×C13911yescharacteristic
1025C2×C42C23×C13911yescharacteristic
1026C2×C42C23×C13911yescharacteristic
1027C2×C42C23×C13911yescharacteristic
1028C2×C42C23×C13911yescharacteristic
1029C2×C42C23×C13911yescharacteristic
1030C2×C42C23×C13911yescharacteristic
1031C2×C42C23×C13911yescharacteristic
1032C2×C42C23×C13911yescharacteristic
1033#95C23×C13911yescharacteristic
1034#95C23×C13911yescharacteristic
1035#95C23×C13911yescharacteristic
1036#95C23×C13911yescharacteristic
1037#95C23×C13911yescharacteristic
1038#95C23×C13911yescharacteristic
1039#95C23×C13911yescharacteristic
1040#95C23×C13911yescharacteristic
1041#95C23×C13911yescharacteristic
1042#95C23×C13911yescharacteristic
1043#95C23×C13911yescharacteristic
1044#95C23×C13911yescharacteristic
1045#95C23×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
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24C24×C13911yescharacteristic
1093C24C24×C13911yescharacteristic
1094C24C24×C13911yescharacteristic
1095C24C24×C13911yescharacteristic
1096C2×Q8—22no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4#41×C13914yes—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4#41×C13914yes—
1134C22×C4#41×C13914yes—
1135C22×C4C24×C13911yescharacteristic
1136C22×C4C24×C13911yescharacteristic
1137C22×C4C24×C13911yescharacteristic
1138C22×C4C24×C13911yescharacteristic
1139C22×C4C24×C13911yescharacteristic
1140C22×C4C24×C13911yescharacteristic
1141C22×C4C24×C13911yescharacteristic
1142C22×C4C24×C13911yescharacteristic
1143C22×C4C24×C13911yescharacteristic
1144C22×C4C24×C13911yescharacteristic
1145C22×C4C24×C13911yescharacteristic
1146C22×C4C24×C13911yescharacteristic
1147C22×C4C24×C13911yescharacteristic
1148C22×C4C24×C13911yescharacteristic
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
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
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—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—22no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23C2×#41×C13912yes—
1283C23C2×#41×C13912yes—
1284C23C2×#41×C13912yes—
1285C23C2×#41×C13912yes—
1286C23C25×C13911yescharacteristic
1287Q8—44no—
1288D4—28no—
1289D4—82no—
1290D4—82no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
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—44no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—82no—
1374C2×C4—82no—
1375C2×C4C2×#41×C13912yes—
1376C2×C4C2×#41×C13912yes—
1377C2×C4C2×#41×C13912yes—
1378C2×C4C2×#41×C13912yes—
1379C2×C4C2×#41×C13912yes—
1380C2×C4H(5,𝔽2)×C13912yes—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—88no—
1409C22#529×C13914yes—
1410C22C22×#41×C13911yescharacteristic
1411C22C22×#41×C13911yescharacteristic
1412C22C22×#41×C13911yescharacteristic
1413C22C2×H(5,𝔽2)×C13911yescharacteristic
1414C22#585×C13911yescharacteristic
1415C22#585×C13911yescharacteristic
1416C22#585×C13911yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—22no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C2—24no—
1445C2—42no—
1446C2—81no—
1447C2—81no—
1448C2C2×#529×C13911yescharacteristic
1449C2#3455×C13911yescharacteristic
1450C2#3459×C13911yescharacteristic
1451C2#3505×C13911yescharacteristic
1452C2#3510×C13911yescharacteristic
1453C2#3513×C13911yescharacteristic
1454C2#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. #2865×C139C2semidirect
3. #2853×C139C2semidirect
4. #2852×C139C2semidirect
5. #2654×C139C2semidirect
6. #2653×C139C2semidirect
7. #2650×C139C2semidirect
8. #2649×C139C2semidirect
9. #2597×C139C2semidirect
10. #2596×C139C2semidirect
11. #2595×C139C2semidirect
12. #2594×C139C2semidirect
13. #2569×C139C2semidirect
14. #2564×C139C2semidirect
15. #2561×C139C2semidirect
17. #2525×C139C2semidirect
18. #2516×C139C2semidirect
19. #2493×C139C2semidirect
20. #2480×C139C2semidirect
21. #2469×C139C2semidirect
22. #2458×C139C2semidirect
23. #2419×C139C2semidirect
25. #2322×C139C2semidirect
27. #2313×C139C2semidirect
28. #2312×C139C2semidirect
29. C4×C22⋊Q8×C139C2semidirect
30. C2×#388×C139C2semidirect
31. C42×D4×C139C2semidirect
37. C2×C4×Q8×C139C22semidirect
46. C22×C42×C139C22semidirect
47. #401×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
56. #399×C139C22semidirect
57. #398×C139C22semidirect
58. #398×C139C22semidirect
59. #398×C139C22semidirect
66. #397×C139C22semidirect
67. #397×C139C22semidirect
71. #395×C139C22semidirect
78. #393×C139C22semidirect
79. #391×C139C22semidirect
82. #389×C139C22semidirect
83. #389×C139C22semidirect
84. #389×C139C22semidirect
116. #388×C139C22semidirect
117. #388×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
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
131. #387×C139C22semidirect
132. #387×C139C22semidirect
133. #387×C139C22semidirect
134. #387×C139C22semidirect
135. #387×C139C22semidirect
136. #387×C139C22semidirect
137. #387×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
140. #387×C139C22semidirect
152. #385×C139C22semidirect
153. #385×C139C22semidirect
154. #385×C139C22semidirect
155. #385×C139C22semidirect
156. #385×C139C22semidirect
157. #383×C139C22semidirect
161. #381×C139C22semidirect
170. C4×C4⋊C4×C139C22semidirect
171. C4×C4⋊C4×C139C22semidirect
172. C4×C4⋊C4×C139C22semidirect
173. C4×C4⋊C4×C139C22semidirect
174. C4×C4⋊C4×C139C22semidirect
175. C4×C4⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
186. C43×C139C22semidirect
727. #35027C139direct (N × H)
728. C139#35027direct (N × H)
729. #2866C2×C139semidirect
730. #2865C2×C139semidirect
731. #2853C2×C139semidirect
732. #2852C2×C139semidirect
733. #2654C2×C139semidirect
734. #2653C2×C139semidirect
735. #2650C2×C139semidirect
736. #2649C2×C139semidirect
737. #2597C2×C139semidirect
738. #2596C2×C139semidirect
739. #2595C2×C139semidirect
740. #2594C2×C139semidirect
741. #2569C2×C139semidirect
742. #2564C2×C139semidirect
743. #2561C2×C139semidirect
745. #2525C2×C139semidirect
746. #2516C2×C139semidirect
747. #2493C2×C139semidirect
748. #2480C2×C139semidirect
749. #2469C2×C139semidirect
750. #2458C2×C139semidirect
751. #2419C2×C139semidirect
753. #2322C2×C139semidirect
755. #2313C2×C139semidirect
756. #2312C2×C139semidirect
757. C4×C22⋊Q8C2×C139semidirect
758. C2×#388C2×C139semidirect
759. C42×D4C2×C139semidirect
765. C2×C4×Q8C22×C139semidirect
774. C22×C42C22×C139semidirect
775. #401C22×C139semidirect
776. #400C22×C139semidirect
777. #400C22×C139semidirect
778. #400C22×C139semidirect
779. #400C22×C139semidirect
780. #400C22×C139semidirect
781. #400C22×C139semidirect
782. #400C22×C139semidirect
784. #399C22×C139semidirect
785. #398C22×C139semidirect
786. #398C22×C139semidirect
787. #398C22×C139semidirect
794. #397C22×C139semidirect
795. #397C22×C139semidirect
799. #395C22×C139semidirect
806. #393C22×C139semidirect
807. #391C22×C139semidirect
810. #389C22×C139semidirect
811. #389C22×C139semidirect
812. #389C22×C139semidirect
844. #388C22×C139semidirect
845. #388C22×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
864. #387C22×C139semidirect
865. #387C22×C139semidirect
866. #387C22×C139semidirect
867. #387C22×C139semidirect
868. #387C22×C139semidirect
880. #385C22×C139semidirect
881. #385C22×C139semidirect
882. #385C22×C139semidirect
883. #385C22×C139semidirect
884. #385C22×C139semidirect
885. #383C22×C139semidirect
889. #381C22×C139semidirect
898. C4×C4⋊C4C22×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
909. C4×C22⋊C4C22×C139semidirect
910. C4×C22⋊C4C22×C139semidirect
911. C4×C22⋊C4C22×C139semidirect
914. C43C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2866×C1392
#2865×C1392
#2853×C1392
#2852×C1392
#2654×C1392
#2653×C1392
#2650×C1392
#2649×C1392
#2597×C1392
#2596×C1392
#2595×C1392
#2594×C1392
#2569×C1392
#2564×C1392
#2561×C1392
#2534×C1392
#2525×C1392
#2516×C1392
#2493×C1392
#2480×C1392
#2469×C1392
#2458×C1392
#2419×C1392
#2418×C1392
#2322×C1392
#2321×C1392
#2313×C1392
#2312×C1392
C4×C22⋊Q8×C1392
C2×#388×C1392
C42×D4×C1392
#35027139