Finite Group Databasebeta

← C139×#36873 #48031469

Subgroups — C139×#36873 #48031469

Order 35584.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2853×C139C211yesmaximal, characteristic, complemented
2#2850×C139C211yesmaximal, characteristic, complemented
3#2808×C139C211yesmaximal, characteristic, complemented
4#2786×C139C211yesmaximal, characteristic, complemented
5#2773×C139C211yesmaximal, characteristic, complemented
6#2756×C139C211yesmaximal, characteristic, complemented
7#2737×C139C211yesmaximal, characteristic, complemented
8#2735×C139C211yesmaximal, characteristic, complemented
9#2730×C139C211yesmaximal, characteristic, complemented
10#2723×C139C211yesmaximal, characteristic, complemented
11#2715×C139C211yesmaximal, characteristic, complemented
12#2714×C139C211yesmaximal, characteristic, complemented
13#2705×C139C211yesmaximal, characteristic, complemented
14#2692×C139C211yesmaximal, characteristic, complemented
15#2688×C139C211yesmaximal, characteristic, complemented
16#2678×C139C211yesmaximal, characteristic, complemented
17#2670×C139C211yesmaximal, characteristic, complemented
18#2668×C139C211yesmaximal, characteristic, complemented
19#2631×C139C211yesmaximal, characteristic, complemented
20#2630×C139C211yesmaximal, characteristic, complemented
21#2525×C139C211yesmaximal, characteristic, complemented
22#2523×C139C211yesmaximal, characteristic, complemented
23#2521×C139C211yesmaximal, characteristic, complemented
24#2474×C139C211yesmaximal, characteristic, complemented
25#2472×C139C211yesmaximal, characteristic, complemented
26#2471×C139C211yesmaximal, characteristic, complemented
27#2467×C139C211yesmaximal, characteristic, complemented
28#2418×C139C211yesmaximal, characteristic, complemented
29#2324×C139C211yesmaximal, characteristic, complemented
30#2321×C139C211yesmaximal, characteristic, complemented
31C4×#121×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic, complemented
33C2×#126×C139C2211yescharacteristic, complemented
34C2×#124×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36C2×#124×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic, complemented
41C2×#121×C139C2211yescharacteristic
42C2×#121×C139C2211yescharacteristic
43C2×#121×C139C2211yescharacteristic
44C2×#120×C139C2211yescharacteristic
45C2×#120×C139C2211yescharacteristic
46C2×#120×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic, complemented
50C2×#117×C139C2211yescharacteristic, complemented
51C22×C22⋊C4×C139C2211yescharacteristic
52C22×C42×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#399×C139C2211yescharacteristic
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#399×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
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic, complemented
69#397×C139C2211yescharacteristic, complemented
70#397×C139C2211yescharacteristic, complemented
71#397×C139C2211yescharacteristic, complemented
72#396×C139C2211yescharacteristic
73#396×C139C2211yescharacteristic
74#396×C139C2211yescharacteristic
75#396×C139C2211yescharacteristic, complemented
76#396×C139C2211yescharacteristic, complemented
77#395×C139C2211yescharacteristic, complemented
78#395×C139C2211yescharacteristic, complemented
79#394×C139C2211yescharacteristic
80#394×C139C2211yescharacteristic
81#394×C139C2211yescharacteristic
82#394×C139C2211yescharacteristic
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic, complemented
90#393×C139C2211yescharacteristic
91#393×C139C2211yescharacteristic
92#393×C139C2211yescharacteristic, complemented
93#393×C139C2211yescharacteristic, complemented
94#392×C139C2211yescharacteristic
95#392×C139C2211yescharacteristic
96#392×C139C2211yescharacteristic
97#392×C139C2211yescharacteristic
98#392×C139C2211yescharacteristic
99#392×C139C2211yescharacteristic
100#392×C139C2211yescharacteristic, complemented
101#391×C139C2211yescharacteristic, complemented
102#391×C139C2211yescharacteristic, complemented
103#391×C139C2211yescharacteristic, complemented
104#390×C139C2211yescharacteristic
105#390×C139C2211yescharacteristic
106#390×C139C2211yescharacteristic
107#390×C139C2211yescharacteristic
108#390×C139C2211yescharacteristic
109#390×C139C2211yescharacteristic
110#390×C139C2211yescharacteristic
111#390×C139C2211yescharacteristic, complemented
112#390×C139C2211yescharacteristic, complemented
113#389×C139C2211yescharacteristic, complemented
114#389×C139C2211yescharacteristic, complemented
115#389×C139C2211yescharacteristic, complemented
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic
126#388×C139C2211yescharacteristic
127#388×C139C2211yescharacteristic
128#388×C139C2211yescharacteristic
129#388×C139C2211yescharacteristic
130#388×C139C2211yescharacteristic
131#388×C139C2211yescharacteristic
132#388×C139C2211yescharacteristic
133#388×C139C2211yescharacteristic, complemented
134#388×C139C2211yescharacteristic, complemented
135#388×C139C2211yescharacteristic, complemented
136#388×C139C2211yescharacteristic, complemented
137#388×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#387×C139C2211yescharacteristic, complemented
141#387×C139C2211yescharacteristic, complemented
142#387×C139C2211yescharacteristic, complemented
143#387×C139C2211yescharacteristic, complemented
144#387×C139C2211yescharacteristic, complemented
145#387×C139C2211yescharacteristic, complemented
146#387×C139C2211yescharacteristic, complemented
147#387×C139C2211yescharacteristic, complemented
148#387×C139C2211yescharacteristic, complemented
149#386×C139C2211yescharacteristic
150#386×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#386×C139C2211yescharacteristic
156#386×C139C2211yescharacteristic
157#386×C139C2211yescharacteristic
158#386×C139C2211yescharacteristic
159#386×C139C2211yescharacteristic
160#386×C139C2211yescharacteristic
161#386×C139C2211yescharacteristic, complemented
162#386×C139C2211yescharacteristic, complemented
163#386×C139C2211yescharacteristic, complemented
164#386×C139C2211yescharacteristic, complemented
165#386×C139C2211yescharacteristic, complemented
166#385×C139C2211yescharacteristic
167#385×C139C2211yescharacteristic
168#385×C139C2211yescharacteristic, complemented
169#385×C139C2211yescharacteristic, complemented
170#385×C139C2211yescharacteristic, complemented
171#383×C139C2211yescharacteristic, complemented
172#383×C139C2211yescharacteristic, complemented
173#382×C139C2211yescharacteristic, complemented
174#381×C139C2211yescharacteristic, complemented
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic, complemented
177#380×C139C2211yescharacteristic, complemented
178#380×C139C2211yescharacteristic, complemented
179#379×C139C2211yescharacteristic
180#379×C139C2211yescharacteristic
181#379×C139C2211yescharacteristic
182C4×C4⋊C4×C139C2211yescharacteristic, complemented
183C4×C4⋊C4×C139C2211yescharacteristic, complemented
184C4×C22⋊C4×C139C2211yescharacteristic
185C4×C22⋊C4×C139C2211yescharacteristic
186C4×C22⋊C4×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×C139C2311yescharacteristic
201C22×D4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209#126×C139—42no—
210#126×C139—42no—
211#124×C139—42no—
212#124×C139—42no—
213#124×C139—42no—
214#123×C139—42no—
215#123×C139—42no—
216C22⋊Q8×C139—42no—
217C22⋊Q8×C139—42no—
218#121×C139—24no—
219#121×C139—24no—
220#121×C139—42no—
221#120×C139—24no—
222#120×C139—42no—
223#120×C139—42no—
224C4×D4×C139—42no—
225C4×D4×C139—42no—
226C4×D4×C139—42no—
227#117×C139—42no—
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139—42no—
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C42×C139—42no—
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363C24×C139—22no—
364C24×C139—41no—
365C24×C139—41no—
366C24×C139—41no—
367C24×C139—41no—
368C24×C139—41no—
369C24×C139—41no—
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C24×C139C2411yescharacteristic
375C24×C139C2411yescharacteristic
376C2×Q8×C139—22no—
377C2×Q8×C139—41no—
378C2×Q8×C139—41no—
379C2×Q8×C139—41no—
380C2×Q8×C139—41no—
381C2×Q8×C139—41no—
382C2×D4×C139—22no—
383C2×D4×C139—22no—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—22no—
388C2×D4×C139—22no—
389C2×D4×C139—22no—
390C2×D4×C139—41no—
391C2×D4×C139—41no—
392C2×D4×C139—41no—
393C2×D4×C139—41no—
394C2×D4×C139—41no—
395C2×D4×C139—41no—
396C2×D4×C139—41no—
397C2×D4×C139—41no—
398C2×D4×C139—41no—
399C2×D4×C139—41no—
400C2×D4×C139—41no—
401C2×D4×C139—41no—
402C2×D4×C139—41no—
403C2×D4×C139—41no—
404C2×D4×C139—41no—
405C2×D4×C139—41no—
406C2×D4×C139—41no—
407C2×D4×C139—41no—
408C2×D4×C139—41no—
409C2×D4×C139—41no—
410C2×D4×C139—41no—
411C2×D4×C139—41no—
412C2×D4×C139—41no—
413C2×D4×C139—41no—
414C2×D4×C139—41no—
415C2×D4×C139—41no—
416C2×D4×C139—41no—
417C2×D4×C139#4114yes—
418C22×C4×C139—22no—
419C22×C4×C139—22no—
420C22×C4×C139—22no—
421C22×C4×C139—22no—
422C22×C4×C139—22no—
423C22×C4×C139—22no—
424C22×C4×C139—22no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—41no—
428C22×C4×C139—41no—
429C22×C4×C139—41no—
430C22×C4×C139—41no—
431C22×C4×C139—41no—
432C22×C4×C139—41no—
433C22×C4×C139—41no—
434C22×C4×C139—41no—
435C22×C4×C139—41no—
436C22×C4×C139—41no—
437C22×C4×C139—41no—
438C22×C4×C139—41no—
439C22×C4×C139C2411yescharacteristic
440C22×C4×C139C2411yescharacteristic
441C22×C4×C139C2411yescharacteristic
442C22×C4×C139C2411yescharacteristic
443C22×C4×C139C2411yescharacteristic
444C22×C4×C139C2411yescharacteristic
445C22×C4×C139C2411yescharacteristic
446C22×C4×C139C2411yescharacteristic
447C22×C4×C139C2411yescharacteristic
448C22×C4×C139C2411yescharacteristic
449C22×C4×C139C2411yescharacteristic
450C22×C4×C139C2411yescharacteristic
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C22×C4×C139C2411yescharacteristic
459C22×C4×C139C2411yescharacteristic
460C22×C4×C139C2411yescharacteristic
461C22×C4×C139C2411yescharacteristic
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C4⋊C4×C139—22no—
465C4⋊C4×C139—22no—
466C4⋊C4×C139—22no—
467C4⋊C4×C139—22no—
468C4⋊C4×C139—22no—
469C4⋊C4×C139—22no—
470C4⋊C4×C139—22no—
471C4⋊C4×C139—22no—
472C4⋊C4×C139—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—
480C4⋊C4×C139—41no—
481C4⋊C4×C139—41no—
482C4⋊C4×C139—41no—
483C4⋊C4×C139—41no—
484C4⋊C4×C139—41no—
485C4⋊C4×C139—41no—
486C4⋊C4×C139—41no—
487C4⋊C4×C139—41no—
488C4⋊C4×C139—41no—
489C4⋊C4×C139—41no—
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—22no—
505C22⋊C4×C139—22no—
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—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139—41no—
518C22⋊C4×C139—41no—
519C22⋊C4×C139—41no—
520C22⋊C4×C139—41no—
521C22⋊C4×C139—41no—
522C22⋊C4×C139—41no—
523C22⋊C4×C139—41no—
524C22⋊C4×C139—41no—
525C22⋊C4×C139—41no—
526C22⋊C4×C139—41no—
527C22⋊C4×C139—41no—
528C22⋊C4×C139—41no—
529C22⋊C4×C139—41no—
530C22⋊C4×C139—41no—
531C22⋊C4×C139—41no—
532C22⋊C4×C139—41no—
533C22⋊C4×C139—41no—
534C22⋊C4×C139—41no—
535C22⋊C4×C139—41no—
536C22⋊C4×C139—41no—
537C22⋊C4×C139—41no—
538C22⋊C4×C139—41no—
539C22⋊C4×C139—41no—
540C22⋊C4×C139—41no—
541C22⋊C4×C139—41no—
542C22⋊C4×C139—41no—
543C22⋊C4×C139—41no—
544C22⋊C4×C139—41no—
545C22⋊C4×C139—41no—
546C42×C139—22no—
547C42×C139—22no—
548C42×C139—22no—
549C42×C139—22no—
550C42×C139—41no—
551C42×C139—41no—
552C42×C139—41no—
553C42×C139—41no—
554C42×C139—41no—
555C42×C139—41no—
556C42×C139—41no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—21no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—21no—
592C23×C139—21no—
593C23×C139—21no—
594C23×C139—21no—
595C23×C139—21no—
596C23×C139—21no—
597C23×C139—44no—
598C23×C139—82no—
599C23×C139—82no—
600C23×C139—82no—
601C23×C139—82no—
602C23×C139—82no—
603C23×C139—82no—
604C23×C139C2×#4112yes—
605C23×C139C2×#4112yes—
606C23×C139C2511yescharacteristic
607Q8×C139—82no—
608Q8×C139—82no—
609D4×C139—44no—
610D4×C139—44no—
611D4×C139—44no—
612D4×C139—82no—
613D4×C139—82no—
614D4×C139—82no—
615D4×C139—82no—
616D4×C139—82no—
617D4×C139—82no—
618D4×C139—82no—
619D4×C139—82no—
620D4×C139—82no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—21no—
663C2×C4×C139—21no—
664C2×C4×C139—21no—
665C2×C4×C139—21no—
666C2×C4×C139—21no—
667C2×C4×C139—21no—
668C2×C4×C139—21no—
669C2×C4×C139—21no—
670C2×C4×C139—21no—
671C2×C4×C139—21no—
672C2×C4×C139—21no—
673C2×C4×C139—21no—
674C2×C4×C139—21no—
675C2×C4×C139—21no—
676C2×C4×C139—21no—
677C2×C4×C139—21no—
678C2×C4×C139—21no—
679C2×C4×C139—21no—
680C2×C4×C139—21no—
681C2×C4×C139—21no—
682C2×C4×C139—21no—
683C2×C4×C139—21no—
684C2×C4×C139—21no—
685C2×C4×C139—21no—
686C2×C4×C139—21no—
687C2×C4×C139—21no—
688C2×C4×C139—21no—
689C2×C4×C139—21no—
690C2×C4×C139—21no—
691C2×C4×C139—21no—
692C2×C4×C139—44no—
693C2×C4×C139—44no—
694C2×C4×C139—44no—
695C2×C4×C139—44no—
696C2×C4×C139—82no—
697C2×C4×C139—82no—
698C2×C4×C139—82no—
699C2×C4×C139C2×#4112yes—
700C2×C4×C139H(5,𝔽2)12yes—
701C2×C4×C139H(5,𝔽2)12yes—
702C2×C4×C139H(5,𝔽2)12yes—
703C22×C139—22no—
704C22×C139—22no—
705C22×C139—22no—
706C22×C139—22no—
707C22×C139—22no—
708C22×C139—22no—
709C22×C139—41no—
710C22×C139—41no—
711C22×C139—41no—
712C22×C139—41no—
713C22×C139—41no—
714C22×C139—41no—
715C22×C139—41no—
716C22×C139—41no—
717C22×C139—41no—
718C22×C139—41no—
719C22×C139—41no—
720C22×C139—41no—
721C22×C139—41no—
722C22×C139—41no—
723C22×C139—41no—
724C22×C139—41no—
725C22×C139—41no—
726C22×C139—41no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139—41no—
731C22×C139—41no—
732C22×C139—41no—
733C22×C139—41no—
734C22×C139—41no—
735C22×C139—41no—
736C22×C139—41no—
737C22×C139—41no—
738C22×C139—41no—
739C22×C139—41no—
740C22×C139—41no—
741C22×C139—41no—
742C22×C139—41no—
743C22×C139—41no—
744C22×C139—41no—
745C22×C139—88no—
746C22×C139C22×#4111yescharacteristic
747C22×C139C2×H(5,𝔽2)11yescharacteristic
748C22×C139C2×H(5,𝔽2)11yescharacteristic
749C22×C139C2×H(5,𝔽2)11yescharacteristic
750C22×C139#58511yescharacteristic
751C22×C139#58511yescharacteristic
752C22×C139#58511yescharacteristic
753C4×C139—22no—
754C4×C139—22no—
755C4×C139—22no—
756C4×C139—22no—
757C4×C139—41no—
758C4×C139—41no—
759C4×C139—41no—
760C4×C139—41no—
761C4×C139—41no—
762C4×C139—41no—
763C4×C139—41no—
764C4×C139—41no—
765C4×C139—41no—
766C4×C139—41no—
767C4×C139—41no—
768C4×C139—41no—
769C4×C139—41no—
770C4×C139—41no—
771C4×C139—41no—
772C4×C139—41no—
773C4×C139—41no—
774C4×C139—41no—
775C4×C139—41no—
776C4×C139—41no—
777C4×C139—41no—
778C2×C139—42no—
779C2×C139—42no—
780C2×C139—81no—
781C2×C139—81no—
782C2×C139—81no—
783C2×C139—81no—
784C2×C139#345911yescharacteristic
785C2×C139#351311yescharacteristic
786C2×C139#351411yescharacteristic
787C2×C139#354211yescharacteristic
788C2×C139#354211yescharacteristic
789C2×C139#354611yescharacteristic
790C2×C139#356811yescharacteristic
791#36873C13911yesmaximal, characteristic, direct product factor, Sylow
792C139#3687311yescharacteristic, direct product factor, Sylow
793#2853C2×C13911yescharacteristic, complemented
794#2850C2×C13911yescharacteristic, complemented
795#2808C2×C13911yescharacteristic, complemented
796#2786C2×C13911yescharacteristic, complemented
797#2773C2×C13911yescharacteristic, complemented
798#2756C2×C13911yescharacteristic, complemented
799#2737C2×C13911yescharacteristic, complemented
800#2735C2×C13911yescharacteristic, complemented
801#2730C2×C13911yescharacteristic, complemented
802#2723C2×C13911yescharacteristic, complemented
803#2715C2×C13911yescharacteristic, complemented
804#2714C2×C13911yescharacteristic, complemented
805#2705C2×C13911yescharacteristic, complemented
806#2692C2×C13911yescharacteristic, complemented
807#2688C2×C13911yescharacteristic, complemented
808#2678C2×C13911yescharacteristic, complemented
809#2670C2×C13911yescharacteristic, complemented
810#2668C2×C13911yescharacteristic, complemented
811#2631C2×C13911yescharacteristic, complemented
812#2630C2×C13911yescharacteristic, complemented
813#2525C2×C13911yescharacteristic, complemented
814#2523C2×C13911yescharacteristic, complemented
815#2521C2×C13911yescharacteristic, complemented
816#2474C2×C13911yescharacteristic, complemented
817#2472C2×C13911yescharacteristic, complemented
818#2471C2×C13911yescharacteristic, complemented
819#2467C2×C13911yescharacteristic, complemented
820#2418C2×C13911yescharacteristic, complemented
821#2324C2×C13911yescharacteristic, complemented
822#2321C2×C13911yescharacteristic, complemented
823C4×#121C2×C13911yescharacteristic, complemented
824C2×#126C22×C13911yescharacteristic, complemented
825C2×#126C22×C13911yescharacteristic, complemented
826C2×#124C22×C13911yescharacteristic
827C2×#124C22×C13911yescharacteristic
828C2×#124C22×C13911yescharacteristic
829C2×#123C22×C13911yescharacteristic
830C2×#123C22×C13911yescharacteristic
831C2×C22⋊Q8C22×C13911yescharacteristic
832C2×C22⋊Q8C22×C13911yescharacteristic, complemented
833C2×#121C22×C13911yescharacteristic
834C2×#121C22×C13911yescharacteristic
835C2×#121C22×C13911yescharacteristic
836C2×#120C22×C13911yescharacteristic
837C2×#120C22×C13911yescharacteristic
838C2×#120C22×C13911yescharacteristic
839C2×C4×D4C22×C13911yescharacteristic
840C2×C4×D4C22×C13911yescharacteristic
841C2×C4×D4C22×C13911yescharacteristic, complemented
842C2×#117C22×C13911yescharacteristic, complemented
843C22×C22⋊C4C22×C13911yescharacteristic
844C22×C42C22×C13911yescharacteristic, complemented
845#400C22×C13911yescharacteristic, complemented
846#399C22×C13911yescharacteristic
847#399C22×C13911yescharacteristic
848#399C22×C13911yescharacteristic
849#399C22×C13911yescharacteristic, complemented
850#398C22×C13911yescharacteristic, complemented
851#398C22×C13911yescharacteristic, complemented
852#397C22×C13911yescharacteristic
853#397C22×C13911yescharacteristic
854#397C22×C13911yescharacteristic
855#397C22×C13911yescharacteristic
856#397C22×C13911yescharacteristic
857#397C22×C13911yescharacteristic
858#397C22×C13911yescharacteristic
859#397C22×C13911yescharacteristic
860#397C22×C13911yescharacteristic, complemented
861#397C22×C13911yescharacteristic, complemented
862#397C22×C13911yescharacteristic, complemented
863#397C22×C13911yescharacteristic, complemented
864#396C22×C13911yescharacteristic
865#396C22×C13911yescharacteristic
866#396C22×C13911yescharacteristic
867#396C22×C13911yescharacteristic, complemented
868#396C22×C13911yescharacteristic, complemented
869#395C22×C13911yescharacteristic, complemented
870#395C22×C13911yescharacteristic, complemented
871#394C22×C13911yescharacteristic
872#394C22×C13911yescharacteristic
873#394C22×C13911yescharacteristic
874#394C22×C13911yescharacteristic
875#394C22×C13911yescharacteristic
876#394C22×C13911yescharacteristic
877#394C22×C13911yescharacteristic
878#394C22×C13911yescharacteristic
879#394C22×C13911yescharacteristic
880#394C22×C13911yescharacteristic
881#394C22×C13911yescharacteristic, complemented
882#393C22×C13911yescharacteristic
883#393C22×C13911yescharacteristic
884#393C22×C13911yescharacteristic, complemented
885#393C22×C13911yescharacteristic, complemented
886#392C22×C13911yescharacteristic
887#392C22×C13911yescharacteristic
888#392C22×C13911yescharacteristic
889#392C22×C13911yescharacteristic
890#392C22×C13911yescharacteristic
891#392C22×C13911yescharacteristic
892#392C22×C13911yescharacteristic, complemented
893#391C22×C13911yescharacteristic, complemented
894#391C22×C13911yescharacteristic, complemented
895#391C22×C13911yescharacteristic, complemented
896#390C22×C13911yescharacteristic
897#390C22×C13911yescharacteristic
898#390C22×C13911yescharacteristic
899#390C22×C13911yescharacteristic
900#390C22×C13911yescharacteristic
901#390C22×C13911yescharacteristic
902#390C22×C13911yescharacteristic
903#390C22×C13911yescharacteristic, complemented
904#390C22×C13911yescharacteristic, complemented
905#389C22×C13911yescharacteristic, complemented
906#389C22×C13911yescharacteristic, complemented
907#389C22×C13911yescharacteristic, complemented
908#388C22×C13911yescharacteristic
909#388C22×C13911yescharacteristic
910#388C22×C13911yescharacteristic
911#388C22×C13911yescharacteristic
912#388C22×C13911yescharacteristic
913#388C22×C13911yescharacteristic
914#388C22×C13911yescharacteristic
915#388C22×C13911yescharacteristic
916#388C22×C13911yescharacteristic
917#388C22×C13911yescharacteristic
918#388C22×C13911yescharacteristic
919#388C22×C13911yescharacteristic
920#388C22×C13911yescharacteristic
921#388C22×C13911yescharacteristic
922#388C22×C13911yescharacteristic
923#388C22×C13911yescharacteristic
924#388C22×C13911yescharacteristic
925#388C22×C13911yescharacteristic, complemented
926#388C22×C13911yescharacteristic, complemented
927#388C22×C13911yescharacteristic, complemented
928#388C22×C13911yescharacteristic, complemented
929#388C22×C13911yescharacteristic, complemented
930#387C22×C13911yescharacteristic, complemented
931#387C22×C13911yescharacteristic, complemented
932#387C22×C13911yescharacteristic, complemented
933#387C22×C13911yescharacteristic, complemented
934#387C22×C13911yescharacteristic, complemented
935#387C22×C13911yescharacteristic, complemented
936#387C22×C13911yescharacteristic, complemented
937#387C22×C13911yescharacteristic, complemented
938#387C22×C13911yescharacteristic, complemented
939#387C22×C13911yescharacteristic, complemented
940#387C22×C13911yescharacteristic, complemented
941#386C22×C13911yescharacteristic
942#386C22×C13911yescharacteristic
943#386C22×C13911yescharacteristic
944#386C22×C13911yescharacteristic
945#386C22×C13911yescharacteristic
946#386C22×C13911yescharacteristic
947#386C22×C13911yescharacteristic
948#386C22×C13911yescharacteristic
949#386C22×C13911yescharacteristic
950#386C22×C13911yescharacteristic
951#386C22×C13911yescharacteristic
952#386C22×C13911yescharacteristic
953#386C22×C13911yescharacteristic, complemented
954#386C22×C13911yescharacteristic, complemented
955#386C22×C13911yescharacteristic, complemented
956#386C22×C13911yescharacteristic, complemented
957#386C22×C13911yescharacteristic, complemented
958#385C22×C13911yescharacteristic
959#385C22×C13911yescharacteristic
960#385C22×C13911yescharacteristic, complemented
961#385C22×C13911yescharacteristic, complemented
962#385C22×C13911yescharacteristic, complemented
963#383C22×C13911yescharacteristic, complemented
964#383C22×C13911yescharacteristic, complemented
965#382C22×C13911yescharacteristic, complemented
966#381C22×C13911yescharacteristic, complemented
967#380C22×C13911yescharacteristic
968#380C22×C13911yescharacteristic, complemented
969#380C22×C13911yescharacteristic, complemented
970#380C22×C13911yescharacteristic, complemented
971#379C22×C13911yescharacteristic
972#379C22×C13911yescharacteristic
973#379C22×C13911yescharacteristic
974C4×C4⋊C4C22×C13911yescharacteristic, complemented
975C4×C4⋊C4C22×C13911yescharacteristic, complemented
976C4×C22⋊C4C22×C13911yescharacteristic
977C4×C22⋊C4C22×C13911yescharacteristic
978C4×C22⋊C4C22×C13911yescharacteristic, complemented
979C25C23×C13911yescharacteristic
980C22×Q8C23×C13911yescharacteristic
981C22×Q8C23×C13911yescharacteristic
982C22×D4C23×C13911yescharacteristic
983C22×D4C23×C13911yescharacteristic
984C22×D4C23×C13911yescharacteristic
985C22×D4C23×C13911yescharacteristic
986C22×D4C23×C13911yescharacteristic
987C22×D4C23×C13911yescharacteristic
988C22×D4C23×C13911yescharacteristic
989C22×D4C23×C13911yescharacteristic
990C22×D4C23×C13911yescharacteristic
991C22×D4C23×C13911yescharacteristic
992C22×D4C23×C13911yescharacteristic
993C22×D4C23×C13911yescharacteristic
994C23×C4C23×C13911yescharacteristic
995C23×C4C23×C13911yescharacteristic
996C23×C4C23×C13911yescharacteristic
997C23×C4C23×C13911yescharacteristic
998C23×C4C23×C13911yescharacteristic
999C23×C4C23×C13911yescharacteristic
1000C23×C4C23×C13911yescharacteristic
1001#126—42no—
1002#126—42no—
1003#124—42no—
1004#124—42no—
1005#124—42no—
1006#123—42no—
1007#123—42no—
1008C22⋊Q8—42no—
1009C22⋊Q8—42no—
1010#121—24no—
1011#121—24no—
1012#121—42no—
1013#120—24no—
1014#120—42no—
1015#120—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019#117—42no—
1020C2×C4⋊C4C23×C13911yescharacteristic
1021C2×C4⋊C4C23×C13911yescharacteristic
1022C2×C4⋊C4C23×C13911yescharacteristic
1023C2×C4⋊C4C23×C13911yescharacteristic
1024C2×C4⋊C4C23×C13911yescharacteristic
1025C2×C4⋊C4C23×C13911yescharacteristic
1026C2×C4⋊C4C23×C13911yescharacteristic
1027C2×C4⋊C4C23×C13911yescharacteristic
1028C2×C4⋊C4C23×C13911yescharacteristic
1029C2×C4⋊C4C23×C13911yescharacteristic
1030C2×C4⋊C4C23×C13911yescharacteristic
1031C2×C4⋊C4C23×C13911yescharacteristic
1032C2×C4⋊C4C23×C13911yescharacteristic
1033C2×C4⋊C4C23×C13911yescharacteristic
1034C2×C4⋊C4C23×C13911yescharacteristic
1035C2×C4⋊C4C23×C13911yescharacteristic
1036C2×C4⋊C4C23×C13911yescharacteristic
1037C2×C4⋊C4C23×C13911yescharacteristic
1038C2×C4⋊C4C23×C13911yescharacteristic
1039C2×C4⋊C4C23×C13911yescharacteristic
1040C2×C4⋊C4C23×C13911yescharacteristic
1041C2×C4⋊C4C23×C13911yescharacteristic
1042C2×C4⋊C4C23×C13911yescharacteristic
1043C2×C4⋊C4C23×C13911yescharacteristic
1044C2×C4⋊C4C23×C13911yescharacteristic
1045C2×C4⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4—42no—
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×C22⋊C4C23×C13911yescharacteristic
1053C2×C22⋊C4C23×C13911yescharacteristic
1054C2×C22⋊C4C23×C13911yescharacteristic
1055C2×C22⋊C4C23×C13911yescharacteristic
1056C2×C22⋊C4C23×C13911yescharacteristic
1057C2×C22⋊C4C23×C13911yescharacteristic
1058C2×C22⋊C4C23×C13911yescharacteristic
1059C2×C22⋊C4C23×C13911yescharacteristic
1060C2×C22⋊C4C23×C13911yescharacteristic
1061C2×C22⋊C4C23×C13911yescharacteristic
1062C2×C22⋊C4C23×C13911yescharacteristic
1063C2×C22⋊C4C23×C13911yescharacteristic
1064C2×C22⋊C4C23×C13911yescharacteristic
1065C2×C22⋊C4C23×C13911yescharacteristic
1066C2×C22⋊C4C23×C13911yescharacteristic
1067C2×C22⋊C4C23×C13911yescharacteristic
1068C2×C22⋊C4C23×C13911yescharacteristic
1069C2×C22⋊C4C23×C13911yescharacteristic
1070C2×C22⋊C4C23×C13911yescharacteristic
1071C2×C22⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4C23×C13911yescharacteristic
1073C2×C22⋊C4C23×C13911yescharacteristic
1074C2×C22⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4C23×C13911yescharacteristic
1076C2×C22⋊C4C23×C13911yescharacteristic
1077C2×C22⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4C23×C13911yescharacteristic
1079C2×C22⋊C4C23×C13911yescharacteristic
1080C2×C22⋊C4C23×C13911yescharacteristic
1081C2×C22⋊C4C23×C13911yescharacteristic
1082C2×C22⋊C4C23×C13911yescharacteristic
1083C2×C22⋊C4C23×C13911yescharacteristic
1084C2×C22⋊C4C23×C13911yescharacteristic
1085C2×C22⋊C4C23×C13911yescharacteristic
1086C2×C22⋊C4C23×C13911yescharacteristic
1087C2×C22⋊C4C23×C13911yescharacteristic
1088C2×C22⋊C4C23×C13911yescharacteristic
1089C2×C22⋊C4C23×C13911yescharacteristic
1090C2×C22⋊C4C23×C13911yescharacteristic
1091C2×C22⋊C4C23×C13911yescharacteristic
1092C2×C22⋊C4C23×C13911yescharacteristic
1093C2×C22⋊C4C23×C13911yescharacteristic
1094C2×C22⋊C4C23×C13911yescharacteristic
1095C2×C22⋊C4C23×C13911yescharacteristic
1096C2×C22⋊C4C23×C13911yescharacteristic
1097C2×C22⋊C4C23×C13911yescharacteristic
1098C2×C22⋊C4C23×C13911yescharacteristic
1099C2×C22⋊C4C23×C13911yescharacteristic
1100C2×C22⋊C4C23×C13911yescharacteristic
1101C2×C22⋊C4C23×C13911yescharacteristic
1102C2×C22⋊C4C23×C13911yescharacteristic
1103C2×C42—42no—
1104C2×C42C23×C13911yescharacteristic
1105C2×C42C23×C13911yescharacteristic
1106C2×C42C23×C13911yescharacteristic
1107C2×C42C23×C13911yescharacteristic
1108C2×C42C23×C13911yescharacteristic
1109C2×C42C23×C13911yescharacteristic
1110C2×C42C23×C13911yescharacteristic
1111C2×C42C23×C13911yescharacteristic
1112C2×C42C23×C13911yescharacteristic
1113C2×C42C23×C13911yescharacteristic
1114C2×C42C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127#95C23×C13911yescharacteristic
1128#95C23×C13911yescharacteristic
1129#95C23×C13911yescharacteristic
1130#95C23×C13911yescharacteristic
1131#95C23×C13911yescharacteristic
1132#95C23×C13911yescharacteristic
1133#95C23×C13911yescharacteristic
1134#95C23×C13911yescharacteristic
1135#95C23×C13911yescharacteristic
1136#95C23×C13911yescharacteristic
1137#95C23×C13911yescharacteristic
1138#95C23×C13911yescharacteristic
1139#95C23×C13911yescharacteristic
1140#95C23×C13911yescharacteristic
1141#95C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143#95C23×C13911yescharacteristic
1144#95C23×C13911yescharacteristic
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153#95C23×C13911yescharacteristic
1154#95C23×C13911yescharacteristic
1155C24—22no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24C24×C13911yescharacteristic
1163C24C24×C13911yescharacteristic
1164C24C24×C13911yescharacteristic
1165C24C24×C13911yescharacteristic
1166C24C24×C13911yescharacteristic
1167C24C24×C13911yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4#41×C13914yes—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
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×C4C24×C13911yescharacteristic
1232C22×C4C24×C13911yescharacteristic
1233C22×C4C24×C13911yescharacteristic
1234C22×C4C24×C13911yescharacteristic
1235C22×C4C24×C13911yescharacteristic
1236C22×C4C24×C13911yescharacteristic
1237C22×C4C24×C13911yescharacteristic
1238C22×C4C24×C13911yescharacteristic
1239C22×C4C24×C13911yescharacteristic
1240C22×C4C24×C13911yescharacteristic
1241C22×C4C24×C13911yescharacteristic
1242C22×C4C24×C13911yescharacteristic
1243C22×C4C24×C13911yescharacteristic
1244C22×C4C24×C13911yescharacteristic
1245C22×C4C24×C13911yescharacteristic
1246C22×C4C24×C13911yescharacteristic
1247C22×C4C24×C13911yescharacteristic
1248C22×C4C24×C13911yescharacteristic
1249C22×C4C24×C13911yescharacteristic
1250C22×C4C24×C13911yescharacteristic
1251C22×C4C24×C13911yescharacteristic
1252C22×C4C24×C13911yescharacteristic
1253C22×C4C24×C13911yescharacteristic
1254C22×C4C24×C13911yescharacteristic
1255C22×C4C24×C13911yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—44no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23C2×#41×C13912yes—
1397C23C2×#41×C13912yes—
1398C23C25×C13911yescharacteristic
1399Q8—82no—
1400Q8—82no—
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4C2×#41×C13912yes—
1492C2×C4H(5,𝔽2)×C13912yes—
1493C2×C4H(5,𝔽2)×C13912yes—
1494C2×C4H(5,𝔽2)×C13912yes—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—88no—
1538C22C22×#41×C13911yescharacteristic
1539C22C2×H(5,𝔽2)×C13911yescharacteristic
1540C22C2×H(5,𝔽2)×C13911yescharacteristic
1541C22C2×H(5,𝔽2)×C13911yescharacteristic
1542C22#585×C13911yescharacteristic
1543C22#585×C13911yescharacteristic
1544C22#585×C13911yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C2—42no—
1571C2—42no—
1572C2—81no—
1573C2—81no—
1574C2—81no—
1575C2—81no—
1576C2#3459×C13911yescharacteristic
1577C2#3513×C13911yescharacteristic
1578C2#3514×C13911yescharacteristic
1579C2#3542×C13911yescharacteristic
1580C2#3542×C13911yescharacteristic
1581C2#3546×C13911yescharacteristic
1582C2#3568×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2853×C139C2semidirect
2. #2850×C139C2semidirect
3. #2808×C139C2semidirect
4. #2786×C139C2semidirect
5. #2773×C139C2semidirect
6. #2756×C139C2semidirect
7. #2737×C139C2semidirect
8. #2735×C139C2semidirect
9. #2730×C139C2semidirect
10. #2723×C139C2semidirect
11. #2715×C139C2semidirect
12. #2714×C139C2semidirect
13. #2705×C139C2semidirect
14. #2692×C139C2semidirect
15. #2688×C139C2semidirect
16. #2678×C139C2semidirect
17. #2670×C139C2semidirect
18. #2668×C139C2semidirect
19. #2631×C139C2semidirect
20. #2630×C139C2semidirect
21. #2525×C139C2semidirect
22. #2523×C139C2semidirect
23. #2521×C139C2semidirect
24. #2474×C139C2semidirect
25. #2472×C139C2semidirect
26. #2471×C139C2semidirect
27. #2467×C139C2semidirect
28. #2418×C139C2semidirect
29. #2324×C139C2semidirect
30. #2321×C139C2semidirect
31. C4×#121×C139C2semidirect
32. C2×#126×C139C22semidirect
33. C2×#126×C139C22semidirect
40. C2×C22⋊Q8×C139C22semidirect
49. C2×C4×D4×C139C22semidirect
50. C2×#117×C139C22semidirect
52. C22×C42×C139C22semidirect
53. #400×C139C22semidirect
57. #399×C139C22semidirect
58. #398×C139C22semidirect
59. #398×C139C22semidirect
68. #397×C139C22semidirect
69. #397×C139C22semidirect
70. #397×C139C22semidirect
71. #397×C139C22semidirect
75. #396×C139C22semidirect
76. #396×C139C22semidirect
77. #395×C139C22semidirect
78. #395×C139C22semidirect
89. #394×C139C22semidirect
92. #393×C139C22semidirect
93. #393×C139C22semidirect
100. #392×C139C22semidirect
101. #391×C139C22semidirect
102. #391×C139C22semidirect
103. #391×C139C22semidirect
111. #390×C139C22semidirect
112. #390×C139C22semidirect
113. #389×C139C22semidirect
114. #389×C139C22semidirect
115. #389×C139C22semidirect
133. #388×C139C22semidirect
134. #388×C139C22semidirect
135. #388×C139C22semidirect
136. #388×C139C22semidirect
137. #388×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
140. #387×C139C22semidirect
141. #387×C139C22semidirect
142. #387×C139C22semidirect
143. #387×C139C22semidirect
144. #387×C139C22semidirect
145. #387×C139C22semidirect
146. #387×C139C22semidirect
147. #387×C139C22semidirect
148. #387×C139C22semidirect
161. #386×C139C22semidirect
162. #386×C139C22semidirect
163. #386×C139C22semidirect
164. #386×C139C22semidirect
165. #386×C139C22semidirect
168. #385×C139C22semidirect
169. #385×C139C22semidirect
170. #385×C139C22semidirect
171. #383×C139C22semidirect
172. #383×C139C22semidirect
173. #382×C139C22semidirect
174. #381×C139C22semidirect
176. #380×C139C22semidirect
177. #380×C139C22semidirect
178. #380×C139C22semidirect
182. C4×C4⋊C4×C139C22semidirect
183. C4×C4⋊C4×C139C22semidirect
186. C4×C22⋊C4×C139C22semidirect
791. #36873C139direct (N × H)
792. C139#36873direct (N × H)
793. #2853C2×C139semidirect
794. #2850C2×C139semidirect
795. #2808C2×C139semidirect
796. #2786C2×C139semidirect
797. #2773C2×C139semidirect
798. #2756C2×C139semidirect
799. #2737C2×C139semidirect
800. #2735C2×C139semidirect
801. #2730C2×C139semidirect
802. #2723C2×C139semidirect
803. #2715C2×C139semidirect
804. #2714C2×C139semidirect
805. #2705C2×C139semidirect
806. #2692C2×C139semidirect
807. #2688C2×C139semidirect
808. #2678C2×C139semidirect
809. #2670C2×C139semidirect
810. #2668C2×C139semidirect
811. #2631C2×C139semidirect
812. #2630C2×C139semidirect
813. #2525C2×C139semidirect
814. #2523C2×C139semidirect
815. #2521C2×C139semidirect
816. #2474C2×C139semidirect
817. #2472C2×C139semidirect
818. #2471C2×C139semidirect
819. #2467C2×C139semidirect
820. #2418C2×C139semidirect
821. #2324C2×C139semidirect
822. #2321C2×C139semidirect
823. C4×#121C2×C139semidirect
824. C2×#126C22×C139semidirect
825. C2×#126C22×C139semidirect
832. C2×C22⋊Q8C22×C139semidirect
841. C2×C4×D4C22×C139semidirect
842. C2×#117C22×C139semidirect
844. C22×C42C22×C139semidirect
845. #400C22×C139semidirect
849. #399C22×C139semidirect
850. #398C22×C139semidirect
851. #398C22×C139semidirect
860. #397C22×C139semidirect
861. #397C22×C139semidirect
862. #397C22×C139semidirect
863. #397C22×C139semidirect
867. #396C22×C139semidirect
868. #396C22×C139semidirect
869. #395C22×C139semidirect
870. #395C22×C139semidirect
881. #394C22×C139semidirect
884. #393C22×C139semidirect
885. #393C22×C139semidirect
892. #392C22×C139semidirect
893. #391C22×C139semidirect
894. #391C22×C139semidirect
895. #391C22×C139semidirect
903. #390C22×C139semidirect
904. #390C22×C139semidirect
905. #389C22×C139semidirect
906. #389C22×C139semidirect
907. #389C22×C139semidirect
925. #388C22×C139semidirect
926. #388C22×C139semidirect
927. #388C22×C139semidirect
928. #388C22×C139semidirect
929. #388C22×C139semidirect
930. #387C22×C139semidirect
931. #387C22×C139semidirect
932. #387C22×C139semidirect
933. #387C22×C139semidirect
934. #387C22×C139semidirect
935. #387C22×C139semidirect
936. #387C22×C139semidirect
937. #387C22×C139semidirect
938. #387C22×C139semidirect
939. #387C22×C139semidirect
940. #387C22×C139semidirect
953. #386C22×C139semidirect
954. #386C22×C139semidirect
955. #386C22×C139semidirect
956. #386C22×C139semidirect
957. #386C22×C139semidirect
960. #385C22×C139semidirect
961. #385C22×C139semidirect
962. #385C22×C139semidirect
963. #383C22×C139semidirect
964. #383C22×C139semidirect
965. #382C22×C139semidirect
966. #381C22×C139semidirect
968. #380C22×C139semidirect
969. #380C22×C139semidirect
970. #380C22×C139semidirect
974. C4×C4⋊C4C22×C139semidirect
975. C4×C4⋊C4C22×C139semidirect
978. C4×C22⋊C4C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2853×C1392
#2850×C1392
#2808×C1392
#2786×C1392
#2773×C1392
#2756×C1392
#2737×C1392
#2735×C1392
#2730×C1392
#2723×C1392
#2715×C1392
#2714×C1392
#2705×C1392
#2692×C1392
#2688×C1392
#2678×C1392
#2670×C1392
#2668×C1392
#2631×C1392
#2630×C1392
#2525×C1392
#2523×C1392
#2521×C1392
#2474×C1392
#2472×C1392
#2471×C1392
#2467×C1392
#2418×C1392
#2324×C1392
#2321×C1392
C4×#121×C1392
#36873139