Finite Group Databasebeta

← C139×#36169 #48030765

Subgroups — C139×#36169 #48030765

Order 35584.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2855×C139C211yesmaximal, characteristic, complemented
2#2853×C139C211yesmaximal, characteristic, complemented
3#2849×C139C211yesmaximal, characteristic
4#2576×C139C211yesmaximal, characteristic, complemented
5#2575×C139C211yesmaximal, characteristic, complemented
6#2573×C139C211yesmaximal, characteristic, complemented
7#2572×C139C211yesmaximal, characteristic, complemented
8#2527×C139C211yesmaximal, characteristic, complemented
9#2526×C139C211yesmaximal, characteristic, complemented
10#2516×C139C211yesmaximal, characteristic, complemented
11#2515×C139C211yesmaximal, characteristic, complemented
12#2510×C139C211yesmaximal, characteristic, complemented
13#2505×C139C211yesmaximal, characteristic, complemented
14#2493×C139C211yesmaximal, characteristic, complemented
15#2493×C139C211yesmaximal, characteristic, complemented
16#2493×C139C211yesmaximal, characteristic, complemented
17#2488×C139C211yesmaximal, characteristic, complemented
18#2488×C139C211yesmaximal, characteristic, complemented
19#2437×C139C211yesmaximal, characteristic, complemented
20#2419×C139C211yesmaximal, characteristic, complemented
21#2412×C139C211yesmaximal, characteristic
22#2368×C139C211yesmaximal, characteristic, complemented
23#2359×C139C211yesmaximal, characteristic, complemented
24#2358×C139C211yesmaximal, characteristic
25#2353×C139C211yesmaximal, characteristic, complemented
26#2343×C139C211yesmaximal, characteristic, complemented
27#2342×C139C211yesmaximal, characteristic, complemented
28C4×#123×C139C211yesmaximal, characteristic, complemented
29#2283×C139C211yesmaximal, characteristic, complemented
30C2×#381×C139C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33C2×#123×C139C2211yescharacteristic
34C2×#123×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic
36C2×C22⋊Q8×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic
38C2×#120×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C2×#117×C139C2211yescharacteristic
42C22×C22⋊C4×C139C2211yescharacteristic
43C22×C22⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C22⋊C4×C139C2211yescharacteristic
46C22×C42×C139C2211yescharacteristic
47C22×C42×C139C2211yescharacteristic
48#401×C139C2211yescharacteristic, complemented
49#401×C139C2211yescharacteristic, complemented
50#400×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#400×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#400×C139C2211yescharacteristic, complemented
58#400×C139C2211yescharacteristic, complemented
59#399×C139C2211yescharacteristic
60#398×C139C2211yescharacteristic, complemented
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic, complemented
64#397×C139C2211yescharacteristic, complemented
65#397×C139C2211yescharacteristic, complemented
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#394×C139C2211yescharacteristic
69#394×C139C2211yescharacteristic
70#393×C139C2211yescharacteristic
71#393×C139C2211yescharacteristic, complemented
72#391×C139C2211yescharacteristic, complemented
73#391×C139C2211yescharacteristic, complemented
74#391×C139C2211yescharacteristic, complemented
75#390×C139C2211yescharacteristic
76#389×C139C2211yescharacteristic, complemented
77#389×C139C2211yescharacteristic, complemented
78#388×C139C2211yescharacteristic
79#388×C139C2211yescharacteristic
80#388×C139C2211yescharacteristic
81#388×C139C2211yescharacteristic
82#388×C139C2211yescharacteristic
83#388×C139C2211yescharacteristic
84#388×C139C2211yescharacteristic, complemented
85#388×C139C2211yescharacteristic, complemented
86#388×C139C2211yescharacteristic, complemented
87#388×C139C2211yescharacteristic, complemented
88#388×C139C2211yescharacteristic, complemented
89#388×C139C2211yescharacteristic, complemented
90#388×C139C2211yescharacteristic, complemented
91#388×C139C2211yescharacteristic, complemented
92#387×C139C2211yescharacteristic, complemented
93#387×C139C2211yescharacteristic, complemented
94#387×C139C2211yescharacteristic, complemented
95#387×C139C2211yescharacteristic, complemented
96#387×C139C2211yescharacteristic, complemented
97#387×C139C2211yescharacteristic, complemented
98#387×C139C2211yescharacteristic, complemented
99#387×C139C2211yescharacteristic, complemented
100#387×C139C2211yescharacteristic, complemented
101#387×C139C2211yescharacteristic, complemented
102#387×C139C2211yescharacteristic, complemented
103#387×C139C2211yescharacteristic, complemented
104#387×C139C2211yescharacteristic, complemented
105#387×C139C2211yescharacteristic, complemented
106#387×C139C2211yescharacteristic, complemented
107#387×C139C2211yescharacteristic, complemented
108#387×C139C2211yescharacteristic, complemented
109#387×C139C2211yescharacteristic, complemented
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#385×C139C2211yescharacteristic
121#385×C139C2211yescharacteristic
122#385×C139C2211yescharacteristic
123#385×C139C2211yescharacteristic
124#385×C139C2211yescharacteristic
125#385×C139C2211yescharacteristic
126#385×C139C2211yescharacteristic
127#385×C139C2211yescharacteristic
128#385×C139C2211yescharacteristic
129#385×C139C2211yescharacteristic
130#385×C139C2211yescharacteristic
131#385×C139C2211yescharacteristic
132#385×C139C2211yescharacteristic
133#385×C139C2211yescharacteristic, complemented
134#383×C139C2211yescharacteristic, complemented
135#383×C139C2211yescharacteristic, complemented
136#383×C139C2211yescharacteristic, complemented
137#383×C139C2211yescharacteristic, complemented
138#382×C139C2211yescharacteristic, complemented
139#382×C139C2211yescharacteristic, complemented
140#382×C139C2211yescharacteristic, complemented
141#381×C139C2211yescharacteristic
142#381×C139C2211yescharacteristic
143#381×C139C2211yescharacteristic
144#381×C139C2211yescharacteristic
145#381×C139C2211yescharacteristic
146#381×C139C2211yescharacteristic
147#381×C139C2211yescharacteristic
148#381×C139C2211yescharacteristic
149#381×C139C2211yescharacteristic
150#381×C139C2211yescharacteristic
151#381×C139C2211yescharacteristic
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic, complemented
154#380×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#379×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic, complemented
161C4×C4⋊C4×C139C2211yescharacteristic, complemented
162C4×C4⋊C4×C139C2211yescharacteristic, complemented
163C4×C4⋊C4×C139C2211yescharacteristic, complemented
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
177C4×C22⋊C4×C139C2211yescharacteristic, complemented
178C4×C22⋊C4×C139C2211yescharacteristic, complemented
179#376×C139C2211yescharacteristic, complemented
180#376×C139C2211yescharacteristic, complemented
181C2×#95×C139C2211yescharacteristic
182C2×#95×C139C2211yescharacteristic
183C2×#95×C139C2211yescharacteristic
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C23×C4×C139—24no—
193C23×C4×C139—24no—
194C23×C4×C139—42no—
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#123×C139—24no—
211#123×C139—24no—
212#123×C139—42no—
213C22⋊Q8×C139—24no—
214C22⋊Q8×C139—42no—
215#120×C139—24no—
216C4×D4×C139—24no—
217C4×D4×C139—42no—
218#117×C139—24no—
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C22⋊C4×C139—24no—
244C2×C22⋊C4×C139—24no—
245C2×C22⋊C4×C139—24no—
246C2×C22⋊C4×C139—42no—
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×C42×C139—24no—
284C2×C42×C139—42no—
285C2×C42×C139C2311yescharacteristic
286C2×C42×C139C2311yescharacteristic
287C2×C42×C139C2311yescharacteristic
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
300#95×C139C2311yescharacteristic
301#95×C139C2311yescharacteristic
302#95×C139C2311yescharacteristic
303#95×C139C2311yescharacteristic
304#95×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
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360C24×C139—22no—
361C24×C139—22no—
362C24×C139—22no—
363C24×C139—22no—
364C24×C139—41no—
365C24×C139—41no—
366C24×C139#4114yes—
367C24×C139C2411yescharacteristic
368C24×C139C2411yescharacteristic
369C24×C139C2411yescharacteristic
370C24×C139C2411yescharacteristic
371C2×Q8×C139—22no—
372C2×Q8×C139—41no—
373C2×Q8×C139—41no—
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—22no—
381C2×D4×C139—41no—
382C2×D4×C139—41no—
383C22×C4×C139—22no—
384C22×C4×C139—22no—
385C22×C4×C139—22no—
386C22×C4×C139—22no—
387C22×C4×C139—22no—
388C22×C4×C139—22no—
389C22×C4×C139—22no—
390C22×C4×C139—22no—
391C22×C4×C139—22no—
392C22×C4×C139—22no—
393C22×C4×C139—22no—
394C22×C4×C139—22no—
395C22×C4×C139—22no—
396C22×C4×C139—22no—
397C22×C4×C139—22no—
398C22×C4×C139—22no—
399C22×C4×C139—22no—
400C22×C4×C139—22no—
401C22×C4×C139—22no—
402C22×C4×C139—22no—
403C22×C4×C139—22no—
404C22×C4×C139—22no—
405C22×C4×C139—22no—
406C22×C4×C139—22no—
407C22×C4×C139—22no—
408C22×C4×C139—22no—
409C22×C4×C139—22no—
410C22×C4×C139—22no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—416no—
428C22×C4×C139#4114yes—
429C22×C4×C139C2411yescharacteristic
430C22×C4×C139C2411yescharacteristic
431C22×C4×C139C2411yescharacteristic
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
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
456C4⋊C4×C139—22no—
457C4⋊C4×C139—22no—
458C4⋊C4×C139—22no—
459C4⋊C4×C139—22no—
460C4⋊C4×C139—22no—
461C4⋊C4×C139—22no—
462C4⋊C4×C139—22no—
463C4⋊C4×C139—22no—
464C4⋊C4×C139—22no—
465C4⋊C4×C139—22no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C4⋊C4×C139—41no—
472C4⋊C4×C139—41no—
473C4⋊C4×C139—41no—
474C4⋊C4×C139—41no—
475C4⋊C4×C139—41no—
476C4⋊C4×C139—41no—
477C4⋊C4×C139—41no—
478C4⋊C4×C139—41no—
479C4⋊C4×C139—41no—
480C22⋊C4×C139—22no—
481C22⋊C4×C139—22no—
482C22⋊C4×C139—22no—
483C22⋊C4×C139—22no—
484C22⋊C4×C139—22no—
485C22⋊C4×C139—22no—
486C22⋊C4×C139—22no—
487C22⋊C4×C139—22no—
488C22⋊C4×C139—22no—
489C22⋊C4×C139—22no—
490C22⋊C4×C139—22no—
491C22⋊C4×C139—22no—
492C22⋊C4×C139—22no—
493C22⋊C4×C139—22no—
494C22⋊C4×C139—22no—
495C22⋊C4×C139—22no—
496C22⋊C4×C139—22no—
497C22⋊C4×C139—22no—
498C22⋊C4×C139—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×C139#4114yes—
515C22⋊C4×C139#4114yes—
516C42×C139—22no—
517C42×C139—22no—
518C42×C139—22no—
519C42×C139—22no—
520C42×C139—22no—
521C42×C139—22no—
522C42×C139—22no—
523C42×C139—41no—
524C42×C139—41no—
525C42×C139—41no—
526C42×C139—41no—
527C42×C139—41no—
528C42×C139—41no—
529C42×C139—41no—
530C42×C139—41no—
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—28no—
540C23×C139—28no—
541C23×C139—21no—
542C23×C139—21no—
543C23×C139—21no—
544C23×C139—21no—
545C23×C139—21no—
546C23×C139—21no—
547C23×C139—21no—
548C23×C139—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—44no—
555C23×C139—44no—
556C23×C139—44no—
557C23×C139—44no—
558C23×C139—44no—
559C23×C139C2×#4112yes—
560C23×C139C2×#4112yes—
561C23×C139C2×#4112yes—
562C23×C139C2×#4112yes—
563C23×C139C2×#4112yes—
564C23×C139C2×#4112yes—
565C23×C139H(5,𝔽2)12yes—
566C23×C139C2511yescharacteristic
567Q8×C139—82no—
568D4×C139—44no—
569D4×C139—44no—
570D4×C139—82no—
571C2×C4×C139—28no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—44no—
648C2×C4×C139—44no—
649C2×C4×C139—44no—
650C2×C4×C139—44no—
651C2×C4×C139—44no—
652C2×C4×C139—44no—
653C2×C4×C139—44no—
654C2×C4×C139—44no—
655C2×C4×C139—44no—
656C2×C4×C139—44no—
657C2×C4×C139—82no—
658C2×C4×C139—82no—
659C2×C4×C139—82no—
660C2×C4×C139—82no—
661C2×C4×C139C2×#4112yes—
662C2×C4×C139C2×#4112yes—
663C2×C4×C139C2×#4112yes—
664C2×C4×C139C2×#4112yes—
665C2×C4×C139C2×#4112yes—
666C2×C4×C139C2×#4112yes—
667C22×C139—22no—
668C22×C139—22no—
669C22×C139—22no—
670C22×C139—22no—
671C22×C139—22no—
672C22×C139—22no—
673C22×C139—22no—
674C22×C139—22no—
675C22×C139—22no—
676C22×C139—22no—
677C22×C139—22no—
678C22×C139—22no—
679C22×C139—22no—
680C22×C139—22no—
681C22×C139—22no—
682C22×C139—416no—
683C22×C139—41no—
684C22×C139—41no—
685C22×C139—41no—
686C22×C139—41no—
687C22×C139—41no—
688C22×C139—41no—
689C22×C139—41no—
690C22×C139—41no—
691C22×C139—41no—
692C22×C139—41no—
693C22×C139—41no—
694C22×C139#52914yes—
695C22×C139#55114yes—
696C22×C139C22×#4111yescharacteristic
697C22×C139C22×#4111yescharacteristic
698C22×C139C22×#4111yescharacteristic
699C22×C139C22×#4111yescharacteristic
700C22×C139C2×H(5,𝔽2)11yescharacteristic
701C22×C139#58511yescharacteristic
702C22×C139#58511yescharacteristic
703C4×C139—22no—
704C4×C139—22no—
705C4×C139—22no—
706C4×C139—22no—
707C4×C139—22no—
708C4×C139—22no—
709C4×C139—41no—
710C4×C139—41no—
711C4×C139—41no—
712C4×C139—41no—
713C4×C139—41no—
714C4×C139—41no—
715C4×C139—41no—
716C4×C139—41no—
717C4×C139—41no—
718C4×C139—41no—
719C4×C139—41no—
720C4×C139—41no—
721C4×C139—41no—
722C4×C139—41no—
723C4×C139—41no—
724C4×C139—41no—
725C4×C139—41no—
726C4×C139—41no—
727C4×C139—41no—
728C4×C139—41no—
729C4×C139—41no—
730C2×C139—24no—
731C2×C139—24no—
732C2×C139—42no—
733C2×C139—81no—
734C2×C139C2×#52911yescharacteristic
735C2×C139C2×#55111yescharacteristic
736C2×C139#347511yescharacteristic
737C2×C139#347511yescharacteristic
738C2×C139#349111yescharacteristic
739C2×C139#351311yescharacteristic
740C2×C139#351311yescharacteristic
741#36169C13911yesmaximal, characteristic, direct product factor, Sylow
742C139#3616911yescharacteristic, direct product factor, Sylow
743#2855C2×C13911yescharacteristic, complemented
744#2853C2×C13911yescharacteristic, complemented
745#2849C2×C13911yescharacteristic
746#2576C2×C13911yescharacteristic, complemented
747#2575C2×C13911yescharacteristic, complemented
748#2573C2×C13911yescharacteristic, complemented
749#2572C2×C13911yescharacteristic, complemented
750#2527C2×C13911yescharacteristic, complemented
751#2526C2×C13911yescharacteristic, complemented
752#2516C2×C13911yescharacteristic, complemented
753#2515C2×C13911yescharacteristic, complemented
754#2510C2×C13911yescharacteristic, complemented
755#2505C2×C13911yescharacteristic, complemented
756#2493C2×C13911yescharacteristic, complemented
757#2493C2×C13911yescharacteristic, complemented
758#2493C2×C13911yescharacteristic, complemented
759#2488C2×C13911yescharacteristic, complemented
760#2488C2×C13911yescharacteristic, complemented
761#2437C2×C13911yescharacteristic, complemented
762#2419C2×C13911yescharacteristic, complemented
763#2412C2×C13911yescharacteristic
764#2368C2×C13911yescharacteristic, complemented
765#2359C2×C13911yescharacteristic, complemented
766#2358C2×C13911yescharacteristic
767#2353C2×C13911yescharacteristic, complemented
768#2343C2×C13911yescharacteristic, complemented
769#2342C2×C13911yescharacteristic, complemented
770C4×#123C2×C13911yescharacteristic, complemented
771#2283C2×C13911yescharacteristic, complemented
772C2×#381C2×C13911yescharacteristic, complemented
773C2×C4×C22⋊C4C2×C13911yescharacteristic, complemented
774C24×C4C22×C13911yescharacteristic
775C2×#123C22×C13911yescharacteristic
776C2×#123C22×C13911yescharacteristic
777C2×#123C22×C13911yescharacteristic
778C2×C22⋊Q8C22×C13911yescharacteristic
779C2×C22⋊Q8C22×C13911yescharacteristic
780C2×#120C22×C13911yescharacteristic
781C2×C4×D4C22×C13911yescharacteristic
782C2×C4×D4C22×C13911yescharacteristic
783C2×#117C22×C13911yescharacteristic
784C22×C22⋊C4C22×C13911yescharacteristic
785C22×C22⋊C4C22×C13911yescharacteristic
786C22×C22⋊C4C22×C13911yescharacteristic
787C22×C22⋊C4C22×C13911yescharacteristic
788C22×C42C22×C13911yescharacteristic
789C22×C42C22×C13911yescharacteristic
790#401C22×C13911yescharacteristic, complemented
791#401C22×C13911yescharacteristic, complemented
792#400C22×C13911yescharacteristic, complemented
793#400C22×C13911yescharacteristic, complemented
794#400C22×C13911yescharacteristic, complemented
795#400C22×C13911yescharacteristic, complemented
796#400C22×C13911yescharacteristic, complemented
797#400C22×C13911yescharacteristic, complemented
798#400C22×C13911yescharacteristic, complemented
799#400C22×C13911yescharacteristic, complemented
800#400C22×C13911yescharacteristic, complemented
801#399C22×C13911yescharacteristic
802#398C22×C13911yescharacteristic, complemented
803#397C22×C13911yescharacteristic
804#397C22×C13911yescharacteristic
805#397C22×C13911yescharacteristic, complemented
806#397C22×C13911yescharacteristic, complemented
807#397C22×C13911yescharacteristic, complemented
808#396C22×C13911yescharacteristic
809#396C22×C13911yescharacteristic
810#394C22×C13911yescharacteristic
811#394C22×C13911yescharacteristic
812#393C22×C13911yescharacteristic
813#393C22×C13911yescharacteristic, complemented
814#391C22×C13911yescharacteristic, complemented
815#391C22×C13911yescharacteristic, complemented
816#391C22×C13911yescharacteristic, complemented
817#390C22×C13911yescharacteristic
818#389C22×C13911yescharacteristic, complemented
819#389C22×C13911yescharacteristic, complemented
820#388C22×C13911yescharacteristic
821#388C22×C13911yescharacteristic
822#388C22×C13911yescharacteristic
823#388C22×C13911yescharacteristic
824#388C22×C13911yescharacteristic
825#388C22×C13911yescharacteristic
826#388C22×C13911yescharacteristic, complemented
827#388C22×C13911yescharacteristic, complemented
828#388C22×C13911yescharacteristic, complemented
829#388C22×C13911yescharacteristic, complemented
830#388C22×C13911yescharacteristic, complemented
831#388C22×C13911yescharacteristic, complemented
832#388C22×C13911yescharacteristic, complemented
833#388C22×C13911yescharacteristic, complemented
834#387C22×C13911yescharacteristic, complemented
835#387C22×C13911yescharacteristic, complemented
836#387C22×C13911yescharacteristic, complemented
837#387C22×C13911yescharacteristic, complemented
838#387C22×C13911yescharacteristic, complemented
839#387C22×C13911yescharacteristic, complemented
840#387C22×C13911yescharacteristic, complemented
841#387C22×C13911yescharacteristic, complemented
842#387C22×C13911yescharacteristic, complemented
843#387C22×C13911yescharacteristic, complemented
844#387C22×C13911yescharacteristic, complemented
845#387C22×C13911yescharacteristic, complemented
846#387C22×C13911yescharacteristic, complemented
847#387C22×C13911yescharacteristic, complemented
848#387C22×C13911yescharacteristic, complemented
849#387C22×C13911yescharacteristic, complemented
850#387C22×C13911yescharacteristic, complemented
851#387C22×C13911yescharacteristic, complemented
852#386C22×C13911yescharacteristic
853#386C22×C13911yescharacteristic
854#386C22×C13911yescharacteristic
855#386C22×C13911yescharacteristic
856#386C22×C13911yescharacteristic
857#386C22×C13911yescharacteristic
858#386C22×C13911yescharacteristic
859#386C22×C13911yescharacteristic
860#386C22×C13911yescharacteristic
861#386C22×C13911yescharacteristic
862#385C22×C13911yescharacteristic
863#385C22×C13911yescharacteristic
864#385C22×C13911yescharacteristic
865#385C22×C13911yescharacteristic
866#385C22×C13911yescharacteristic
867#385C22×C13911yescharacteristic
868#385C22×C13911yescharacteristic
869#385C22×C13911yescharacteristic
870#385C22×C13911yescharacteristic
871#385C22×C13911yescharacteristic
872#385C22×C13911yescharacteristic
873#385C22×C13911yescharacteristic
874#385C22×C13911yescharacteristic
875#385C22×C13911yescharacteristic, complemented
876#383C22×C13911yescharacteristic, complemented
877#383C22×C13911yescharacteristic, complemented
878#383C22×C13911yescharacteristic, complemented
879#383C22×C13911yescharacteristic, complemented
880#382C22×C13911yescharacteristic, complemented
881#382C22×C13911yescharacteristic, complemented
882#382C22×C13911yescharacteristic, complemented
883#381C22×C13911yescharacteristic
884#381C22×C13911yescharacteristic
885#381C22×C13911yescharacteristic
886#381C22×C13911yescharacteristic
887#381C22×C13911yescharacteristic
888#381C22×C13911yescharacteristic
889#381C22×C13911yescharacteristic
890#381C22×C13911yescharacteristic
891#381C22×C13911yescharacteristic
892#381C22×C13911yescharacteristic
893#381C22×C13911yescharacteristic
894#381C22×C13911yescharacteristic
895#381C22×C13911yescharacteristic, complemented
896#380C22×C13911yescharacteristic
897#380C22×C13911yescharacteristic
898#380C22×C13911yescharacteristic
899#380C22×C13911yescharacteristic
900#380C22×C13911yescharacteristic
901#379C22×C13911yescharacteristic
902C4×C4⋊C4C22×C13911yescharacteristic, complemented
903C4×C4⋊C4C22×C13911yescharacteristic, complemented
904C4×C4⋊C4C22×C13911yescharacteristic, complemented
905C4×C4⋊C4C22×C13911yescharacteristic, complemented
906C4×C22⋊C4C22×C13911yescharacteristic
907C4×C22⋊C4C22×C13911yescharacteristic
908C4×C22⋊C4C22×C13911yescharacteristic
909C4×C22⋊C4C22×C13911yescharacteristic
910C4×C22⋊C4C22×C13911yescharacteristic
911C4×C22⋊C4C22×C13911yescharacteristic
912C4×C22⋊C4C22×C13911yescharacteristic
913C4×C22⋊C4C22×C13911yescharacteristic
914C4×C22⋊C4C22×C13911yescharacteristic
915C4×C22⋊C4C22×C13911yescharacteristic
916C4×C22⋊C4C22×C13911yescharacteristic
917C4×C22⋊C4C22×C13911yescharacteristic
918C4×C22⋊C4C22×C13911yescharacteristic
919C4×C22⋊C4C22×C13911yescharacteristic, complemented
920C4×C22⋊C4C22×C13911yescharacteristic, complemented
921#376C22×C13911yescharacteristic, complemented
922#376C22×C13911yescharacteristic, complemented
923C2×#95C22×C13911yescharacteristic
924C2×#95C22×C13911yescharacteristic
925C2×#95C22×C13911yescharacteristic
926C2×#95C22×C13911yescharacteristic
927C2×#95C22×C13911yescharacteristic
928C2×#95C22×C13911yescharacteristic
929C25C23×C13911yescharacteristic
930C22×Q8C23×C13911yescharacteristic
931C22×D4C23×C13911yescharacteristic
932C22×D4C23×C13911yescharacteristic
933C22×D4C23×C13911yescharacteristic
934C23×C4—24no—
935C23×C4—24no—
936C23×C4—42no—
937C23×C4C23×C13911yescharacteristic
938C23×C4C23×C13911yescharacteristic
939C23×C4C23×C13911yescharacteristic
940C23×C4C23×C13911yescharacteristic
941C23×C4C23×C13911yescharacteristic
942C23×C4C23×C13911yescharacteristic
943C23×C4C23×C13911yescharacteristic
944C23×C4C23×C13911yescharacteristic
945C23×C4C23×C13911yescharacteristic
946C23×C4C23×C13911yescharacteristic
947C23×C4C23×C13911yescharacteristic
948C23×C4C23×C13911yescharacteristic
949C23×C4C23×C13911yescharacteristic
950C23×C4C23×C13911yescharacteristic
951C23×C4C23×C13911yescharacteristic
952#123—24no—
953#123—24no—
954#123—42no—
955C22⋊Q8—24no—
956C22⋊Q8—42no—
957#120—24no—
958C4×D4—24no—
959C4×D4—42no—
960#117—24no—
961C2×C4⋊C4C23×C13911yescharacteristic
962C2×C4⋊C4C23×C13911yescharacteristic
963C2×C4⋊C4C23×C13911yescharacteristic
964C2×C4⋊C4C23×C13911yescharacteristic
965C2×C4⋊C4C23×C13911yescharacteristic
966C2×C4⋊C4C23×C13911yescharacteristic
967C2×C4⋊C4C23×C13911yescharacteristic
968C2×C4⋊C4C23×C13911yescharacteristic
969C2×C4⋊C4C23×C13911yescharacteristic
970C2×C4⋊C4C23×C13911yescharacteristic
971C2×C4⋊C4C23×C13911yescharacteristic
972C2×C4⋊C4C23×C13911yescharacteristic
973C2×C4⋊C4C23×C13911yescharacteristic
974C2×C4⋊C4C23×C13911yescharacteristic
975C2×C4⋊C4C23×C13911yescharacteristic
976C2×C4⋊C4C23×C13911yescharacteristic
977C2×C4⋊C4C23×C13911yescharacteristic
978C2×C4⋊C4C23×C13911yescharacteristic
979C2×C4⋊C4C23×C13911yescharacteristic
980C2×C4⋊C4C23×C13911yescharacteristic
981C2×C4⋊C4C23×C13911yescharacteristic
982C2×C4⋊C4C23×C13911yescharacteristic
983C2×C4⋊C4C23×C13911yescharacteristic
984C2×C4⋊C4C23×C13911yescharacteristic
985C2×C22⋊C4—24no—
986C2×C22⋊C4—24no—
987C2×C22⋊C4—24no—
988C2×C22⋊C4—42no—
989C2×C22⋊C4C23×C13911yescharacteristic
990C2×C22⋊C4C23×C13911yescharacteristic
991C2×C22⋊C4C23×C13911yescharacteristic
992C2×C22⋊C4C23×C13911yescharacteristic
993C2×C22⋊C4C23×C13911yescharacteristic
994C2×C22⋊C4C23×C13911yescharacteristic
995C2×C22⋊C4C23×C13911yescharacteristic
996C2×C22⋊C4C23×C13911yescharacteristic
997C2×C22⋊C4C23×C13911yescharacteristic
998C2×C22⋊C4C23×C13911yescharacteristic
999C2×C22⋊C4C23×C13911yescharacteristic
1000C2×C22⋊C4C23×C13911yescharacteristic
1001C2×C22⋊C4C23×C13911yescharacteristic
1002C2×C22⋊C4C23×C13911yescharacteristic
1003C2×C22⋊C4C23×C13911yescharacteristic
1004C2×C22⋊C4C23×C13911yescharacteristic
1005C2×C22⋊C4C23×C13911yescharacteristic
1006C2×C22⋊C4C23×C13911yescharacteristic
1007C2×C22⋊C4C23×C13911yescharacteristic
1008C2×C22⋊C4C23×C13911yescharacteristic
1009C2×C22⋊C4C23×C13911yescharacteristic
1010C2×C22⋊C4C23×C13911yescharacteristic
1011C2×C22⋊C4C23×C13911yescharacteristic
1012C2×C22⋊C4C23×C13911yescharacteristic
1013C2×C22⋊C4C23×C13911yescharacteristic
1014C2×C22⋊C4C23×C13911yescharacteristic
1015C2×C22⋊C4C23×C13911yescharacteristic
1016C2×C22⋊C4C23×C13911yescharacteristic
1017C2×C22⋊C4C23×C13911yescharacteristic
1018C2×C22⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C42—24no—
1026C2×C42—42no—
1027C2×C42C23×C13911yescharacteristic
1028C2×C42C23×C13911yescharacteristic
1029C2×C42C23×C13911yescharacteristic
1030C2×C42C23×C13911yescharacteristic
1031C2×C42C23×C13911yescharacteristic
1032C2×C42C23×C13911yescharacteristic
1033C2×C42C23×C13911yescharacteristic
1034C2×C42C23×C13911yescharacteristic
1035C2×C42C23×C13911yescharacteristic
1036C2×C42C23×C13911yescharacteristic
1037C2×C42C23×C13911yescharacteristic
1038C2×C42C23×C13911yescharacteristic
1039C2×C42C23×C13911yescharacteristic
1040C2×C42C23×C13911yescharacteristic
1041C2×C42C23×C13911yescharacteristic
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
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
1102C24—22no—
1103C24—22no—
1104C24—22no—
1105C24—22no—
1106C24—41no—
1107C24—41no—
1108C24#41×C13914yes—
1109C24C24×C13911yescharacteristic
1110C24C24×C13911yescharacteristic
1111C24C24×C13911yescharacteristic
1112C24C24×C13911yescharacteristic
1113C2×Q8—22no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
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—416no—
1170C22×C4#41×C13914yes—
1171C22×C4C24×C13911yescharacteristic
1172C22×C4C24×C13911yescharacteristic
1173C22×C4C24×C13911yescharacteristic
1174C22×C4C24×C13911yescharacteristic
1175C22×C4C24×C13911yescharacteristic
1176C22×C4C24×C13911yescharacteristic
1177C22×C4C24×C13911yescharacteristic
1178C22×C4C24×C13911yescharacteristic
1179C22×C4C24×C13911yescharacteristic
1180C22×C4C24×C13911yescharacteristic
1181C22×C4C24×C13911yescharacteristic
1182C22×C4C24×C13911yescharacteristic
1183C22×C4C24×C13911yescharacteristic
1184C22×C4C24×C13911yescharacteristic
1185C22×C4C24×C13911yescharacteristic
1186C22×C4C24×C13911yescharacteristic
1187C22×C4C24×C13911yescharacteristic
1188C22×C4C24×C13911yescharacteristic
1189C22×C4C24×C13911yescharacteristic
1190C22×C4C24×C13911yescharacteristic
1191C22×C4C24×C13911yescharacteristic
1192C22×C4C24×C13911yescharacteristic
1193C22×C4C24×C13911yescharacteristic
1194C22×C4C24×C13911yescharacteristic
1195C22×C4C24×C13911yescharacteristic
1196C22×C4C24×C13911yescharacteristic
1197C22×C4C24×C13911yescharacteristic
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4#41×C13914yes—
1257C22⋊C4#41×C13914yes—
1258C42—22no—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—22no—
1264C42—22no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—28no—
1282C23—28no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—44no—
1297C23—44no—
1298C23—44no—
1299C23—44no—
1300C23—44no—
1301C23C2×#41×C13912yes—
1302C23C2×#41×C13912yes—
1303C23C2×#41×C13912yes—
1304C23C2×#41×C13912yes—
1305C23C2×#41×C13912yes—
1306C23C2×#41×C13912yes—
1307C23H(5,𝔽2)×C13912yes—
1308C23C25×C13911yescharacteristic
1309Q8—82no—
1310D4—44no—
1311D4—44no—
1312D4—82no—
1313C2×C4—28no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—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—44no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—82no—
1400C2×C4—82no—
1401C2×C4—82no—
1402C2×C4—82no—
1403C2×C4C2×#41×C13912yes—
1404C2×C4C2×#41×C13912yes—
1405C2×C4C2×#41×C13912yes—
1406C2×C4C2×#41×C13912yes—
1407C2×C4C2×#41×C13912yes—
1408C2×C4C2×#41×C13912yes—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—416no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22#529×C13914yes—
1437C22#551×C13914yes—
1438C22C22×#41×C13911yescharacteristic
1439C22C22×#41×C13911yescharacteristic
1440C22C22×#41×C13911yescharacteristic
1441C22C22×#41×C13911yescharacteristic
1442C22C2×H(5,𝔽2)×C13911yescharacteristic
1443C22#585×C13911yescharacteristic
1444C22#585×C13911yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C2—24no—
1473C2—24no—
1474C2—42no—
1475C2—81no—
1476C2C2×#529×C13911yescharacteristic
1477C2C2×#551×C13911yescharacteristic
1478C2#3475×C13911yescharacteristic
1479C2#3475×C13911yescharacteristic
1480C2#3491×C13911yescharacteristic
1481C2#3513×C13911yescharacteristic
1482C2#3513×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. #2855×C139C2semidirect
2. #2853×C139C2semidirect
4. #2576×C139C2semidirect
5. #2575×C139C2semidirect
6. #2573×C139C2semidirect
7. #2572×C139C2semidirect
8. #2527×C139C2semidirect
9. #2526×C139C2semidirect
10. #2516×C139C2semidirect
11. #2515×C139C2semidirect
12. #2510×C139C2semidirect
13. #2505×C139C2semidirect
14. #2493×C139C2semidirect
15. #2493×C139C2semidirect
16. #2493×C139C2semidirect
17. #2488×C139C2semidirect
18. #2488×C139C2semidirect
19. #2437×C139C2semidirect
20. #2419×C139C2semidirect
22. #2368×C139C2semidirect
23. #2359×C139C2semidirect
25. #2353×C139C2semidirect
26. #2343×C139C2semidirect
27. #2342×C139C2semidirect
28. C4×#123×C139C2semidirect
29. #2283×C139C2semidirect
30. C2×#381×C139C2semidirect
31. C2×C4×C22⋊C4×C139C2semidirect
48. #401×C139C22semidirect
49. #401×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #400×C139C22semidirect
60. #398×C139C22semidirect
63. #397×C139C22semidirect
64. #397×C139C22semidirect
65. #397×C139C22semidirect
71. #393×C139C22semidirect
72. #391×C139C22semidirect
73. #391×C139C22semidirect
74. #391×C139C22semidirect
76. #389×C139C22semidirect
77. #389×C139C22semidirect
84. #388×C139C22semidirect
85. #388×C139C22semidirect
86. #388×C139C22semidirect
87. #388×C139C22semidirect
88. #388×C139C22semidirect
89. #388×C139C22semidirect
90. #388×C139C22semidirect
91. #388×C139C22semidirect
92. #387×C139C22semidirect
93. #387×C139C22semidirect
94. #387×C139C22semidirect
95. #387×C139C22semidirect
96. #387×C139C22semidirect
97. #387×C139C22semidirect
98. #387×C139C22semidirect
99. #387×C139C22semidirect
100. #387×C139C22semidirect
101. #387×C139C22semidirect
102. #387×C139C22semidirect
103. #387×C139C22semidirect
104. #387×C139C22semidirect
105. #387×C139C22semidirect
106. #387×C139C22semidirect
107. #387×C139C22semidirect
108. #387×C139C22semidirect
109. #387×C139C22semidirect
133. #385×C139C22semidirect
134. #383×C139C22semidirect
135. #383×C139C22semidirect
136. #383×C139C22semidirect
137. #383×C139C22semidirect
138. #382×C139C22semidirect
139. #382×C139C22semidirect
140. #382×C139C22semidirect
153. #381×C139C22semidirect
160. C4×C4⋊C4×C139C22semidirect
161. C4×C4⋊C4×C139C22semidirect
162. C4×C4⋊C4×C139C22semidirect
163. C4×C4⋊C4×C139C22semidirect
177. C4×C22⋊C4×C139C22semidirect
178. C4×C22⋊C4×C139C22semidirect
179. #376×C139C22semidirect
180. #376×C139C22semidirect
741. #36169C139direct (N × H)
742. C139#36169direct (N × H)
743. #2855C2×C139semidirect
744. #2853C2×C139semidirect
746. #2576C2×C139semidirect
747. #2575C2×C139semidirect
748. #2573C2×C139semidirect
749. #2572C2×C139semidirect
750. #2527C2×C139semidirect
751. #2526C2×C139semidirect
752. #2516C2×C139semidirect
753. #2515C2×C139semidirect
754. #2510C2×C139semidirect
755. #2505C2×C139semidirect
756. #2493C2×C139semidirect
757. #2493C2×C139semidirect
758. #2493C2×C139semidirect
759. #2488C2×C139semidirect
760. #2488C2×C139semidirect
761. #2437C2×C139semidirect
762. #2419C2×C139semidirect
764. #2368C2×C139semidirect
765. #2359C2×C139semidirect
767. #2353C2×C139semidirect
768. #2343C2×C139semidirect
769. #2342C2×C139semidirect
770. C4×#123C2×C139semidirect
771. #2283C2×C139semidirect
772. C2×#381C2×C139semidirect
773. C2×C4×C22⋊C4C2×C139semidirect
790. #401C22×C139semidirect
791. #401C22×C139semidirect
792. #400C22×C139semidirect
793. #400C22×C139semidirect
794. #400C22×C139semidirect
795. #400C22×C139semidirect
796. #400C22×C139semidirect
797. #400C22×C139semidirect
798. #400C22×C139semidirect
799. #400C22×C139semidirect
800. #400C22×C139semidirect
802. #398C22×C139semidirect
805. #397C22×C139semidirect
806. #397C22×C139semidirect
807. #397C22×C139semidirect
813. #393C22×C139semidirect
814. #391C22×C139semidirect
815. #391C22×C139semidirect
816. #391C22×C139semidirect
818. #389C22×C139semidirect
819. #389C22×C139semidirect
826. #388C22×C139semidirect
827. #388C22×C139semidirect
828. #388C22×C139semidirect
829. #388C22×C139semidirect
830. #388C22×C139semidirect
831. #388C22×C139semidirect
832. #388C22×C139semidirect
833. #388C22×C139semidirect
834. #387C22×C139semidirect
835. #387C22×C139semidirect
836. #387C22×C139semidirect
837. #387C22×C139semidirect
838. #387C22×C139semidirect
839. #387C22×C139semidirect
840. #387C22×C139semidirect
841. #387C22×C139semidirect
842. #387C22×C139semidirect
843. #387C22×C139semidirect
844. #387C22×C139semidirect
845. #387C22×C139semidirect
846. #387C22×C139semidirect
847. #387C22×C139semidirect
848. #387C22×C139semidirect
849. #387C22×C139semidirect
850. #387C22×C139semidirect
851. #387C22×C139semidirect
875. #385C22×C139semidirect
876. #383C22×C139semidirect
877. #383C22×C139semidirect
878. #383C22×C139semidirect
879. #383C22×C139semidirect
880. #382C22×C139semidirect
881. #382C22×C139semidirect
882. #382C22×C139semidirect
895. #381C22×C139semidirect
902. C4×C4⋊C4C22×C139semidirect
903. C4×C4⋊C4C22×C139semidirect
904. C4×C4⋊C4C22×C139semidirect
905. C4×C4⋊C4C22×C139semidirect
919. C4×C22⋊C4C22×C139semidirect
920. C4×C22⋊C4C22×C139semidirect
921. #376C22×C139semidirect
922. #376C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2855×C1392
#2853×C1392
#2849×C1392
#2576×C1392
#2575×C1392
#2573×C1392
#2572×C1392
#2527×C1392
#2526×C1392
#2516×C1392
#2515×C1392
#2510×C1392
#2505×C1392
#2493×C1392
#2488×C1392
#2437×C1392
#2419×C1392
#2412×C1392
#2368×C1392
#2359×C1392
#2358×C1392
#2353×C1392
#2343×C1392
#2342×C1392
C4×#123×C1392
#2283×C1392
C2×#381×C1392
C2×C4×C22⋊C4×C1392
#36169139