Finite Group Databasebeta

← C139×#36778 #48031374

Subgroups — C139×#36778 #48031374

Order 35584.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2849×C139C211yesmaximal, characteristic
2#2848×C139C211yesmaximal, characteristic, complemented
3#2790×C139C211yesmaximal, characteristic, complemented
4#2779×C139C211yesmaximal, characteristic, complemented
5#2770×C139C211yesmaximal, characteristic, complemented
6#2765×C139C211yesmaximal, characteristic, complemented
7#2764×C139C211yesmaximal, characteristic, complemented
8#2763×C139C211yesmaximal, characteristic, complemented
9#2757×C139C211yesmaximal, characteristic, complemented
10#2746×C139C211yesmaximal, characteristic, complemented
11#2739×C139C211yesmaximal, characteristic, complemented
12#2729×C139C211yesmaximal, characteristic, complemented
13#2718×C139C211yesmaximal, characteristic, complemented
14#2717×C139C211yesmaximal, characteristic, complemented
15#2698×C139C211yesmaximal, characteristic, complemented
16#2692×C139C211yesmaximal, characteristic, complemented
17#2687×C139C211yesmaximal, characteristic, complemented
18#2674×C139C211yesmaximal, characteristic, complemented
19#2627×C139C211yesmaximal, characteristic, complemented
20#2623×C139C211yesmaximal, characteristic, complemented
21#2561×C139C211yesmaximal, characteristic, complemented
22#2534×C139C211yesmaximal, characteristic
23#2493×C139C211yesmaximal, characteristic, complemented
24#2488×C139C211yesmaximal, characteristic, complemented
25#2480×C139C211yesmaximal, characteristic, complemented
26#2472×C139C211yesmaximal, characteristic
27#2440×C139C211yesmaximal, characteristic, complemented
28#2417×C139C211yesmaximal, characteristic, complemented
29#2329×C139C211yesmaximal, characteristic, complemented
30#2318×C139C211yesmaximal, characteristic, complemented
31C2×#385×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33C2×C4⋊Q8×C139C2211yescharacteristic, complemented
34C2×#126×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic
41C2×C22⋊Q8×C139C2211yescharacteristic
42C2×C22⋊Q8×C139C2211yescharacteristic
43C2×C22⋊Q8×C139C2211yescharacteristic
44C2×C22⋊Q8×C139C2211yescharacteristic, complemented
45C2×#120×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C22×C4⋊C4×C139C2211yescharacteristic
48C22×C4⋊C4×C139C2211yescharacteristic
49C22×C22⋊C4×C139C2211yescharacteristic
50C22×C22⋊C4×C139C2211yescharacteristic
51#401×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#400×C139C2211yescharacteristic, complemented
60#400×C139C2211yescharacteristic, complemented
61#399×C139C2211yescharacteristic, complemented
62#399×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#398×C139C2211yescharacteristic, complemented
65#398×C139C2211yescharacteristic, complemented
66#398×C139C2211yescharacteristic, complemented
67#398×C139C2211yescharacteristic, complemented
68#398×C139C2211yescharacteristic, complemented
69#398×C139C2211yescharacteristic, complemented
70#398×C139C2211yescharacteristic, complemented
71#398×C139C2211yescharacteristic, complemented
72#398×C139C2211yescharacteristic, complemented
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic
75#397×C139C2211yescharacteristic
76#397×C139C2211yescharacteristic
77#397×C139C2211yescharacteristic
78#397×C139C2211yescharacteristic
79#397×C139C2211yescharacteristic, complemented
80#397×C139C2211yescharacteristic, complemented
81#397×C139C2211yescharacteristic, complemented
82#396×C139C2211yescharacteristic
83#396×C139C2211yescharacteristic
84#396×C139C2211yescharacteristic
85#396×C139C2211yescharacteristic, complemented
86#396×C139C2211yescharacteristic, complemented
87#395×C139C2211yescharacteristic, complemented
88#395×C139C2211yescharacteristic, complemented
89#395×C139C2211yescharacteristic, complemented
90#395×C139C2211yescharacteristic, complemented
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic
93#394×C139C2211yescharacteristic
94#394×C139C2211yescharacteristic
95#393×C139C2211yescharacteristic
96#393×C139C2211yescharacteristic
97#393×C139C2211yescharacteristic
98#393×C139C2211yescharacteristic, complemented
99#391×C139C2211yescharacteristic, complemented
100#391×C139C2211yescharacteristic, complemented
101#391×C139C2211yescharacteristic, complemented
102#391×C139C2211yescharacteristic, complemented
103#390×C139C2211yescharacteristic
104#389×C139C2211yescharacteristic, complemented
105#389×C139C2211yescharacteristic, complemented
106#389×C139C2211yescharacteristic, complemented
107#389×C139C2211yescharacteristic, complemented
108#389×C139C2211yescharacteristic, complemented
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic, complemented
121#388×C139C2211yescharacteristic, complemented
122#388×C139C2211yescharacteristic, complemented
123#388×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#387×C139C2211yescharacteristic, complemented
132#387×C139C2211yescharacteristic, complemented
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic
140#386×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#385×C139C2211yescharacteristic
146#385×C139C2211yescharacteristic
147#385×C139C2211yescharacteristic
148#385×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#384×C139C2211yescharacteristic, complemented
162#383×C139C2211yescharacteristic, complemented
163#383×C139C2211yescharacteristic, complemented
164#382×C139C2211yescharacteristic, complemented
165#382×C139C2211yescharacteristic, complemented
166#381×C139C2211yescharacteristic
167#381×C139C2211yescharacteristic
168#381×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#381×C139C2211yescharacteristic
171#381×C139C2211yescharacteristic, complemented
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic
177#380×C139C2211yescharacteristic, complemented
178#380×C139C2211yescharacteristic, complemented
179#379×C139C2211yescharacteristic
180#379×C139C2211yescharacteristic
181#379×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C23×C4×C139—42no—
195C23×C4×C139—42no—
196C23×C4×C139—42no—
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
208C4⋊Q8×C139—42no—
209#126×C139—42no—
210#124×C139—42no—
211#123×C139—42no—
212#123×C139—42no—
213#123×C139—42no—
214C22⋊Q8×C139—24no—
215C22⋊Q8×C139—42no—
216C22⋊Q8×C139—42no—
217C22⋊Q8×C139—42no—
218C22⋊Q8×C139—42no—
219C22⋊Q8×C139—42no—
220#120×C139—42no—
221C4×D4×C139—24no—
222C2×C4⋊C4×C139—42no—
223C2×C4⋊C4×C139—42no—
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139—24no—
263C2×C22⋊C4×C139—42no—
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×C42×C139C2311yescharacteristic
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×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
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363C24×C139—22no—
364C24×C139—22no—
365C24×C139—22no—
366C24×C139—22no—
367C24×C139—22no—
368C24×C139—41no—
369C24×C139—41no—
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C2×Q8×C139—22no—
375C2×Q8×C139—22no—
376C2×Q8×C139—41no—
377C2×Q8×C139—41no—
378C2×Q8×C139—41no—
379C2×Q8×C139—41no—
380C2×Q8×C139—41no—
381C2×Q8×C139—41no—
382C2×Q8×C139—41no—
383C2×D4×C139—22no—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—22no—
388C2×D4×C139—41no—
389C2×D4×C139—41no—
390C2×D4×C139—41no—
391C2×D4×C139—41no—
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—41no—
406C22×C4×C139—41no—
407C22×C4×C139—41no—
408C22×C4×C139—41no—
409C22×C4×C139—41no—
410C22×C4×C139—41no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—416no—
425C22×C4×C139#4114yes—
426C22×C4×C139C2411yescharacteristic
427C22×C4×C139C2411yescharacteristic
428C22×C4×C139C2411yescharacteristic
429C22×C4×C139C2411yescharacteristic
430C22×C4×C139C2411yescharacteristic
431C22×C4×C139C2411yescharacteristic
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
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
453C4⋊C4×C139—22no—
454C4⋊C4×C139—22no—
455C4⋊C4×C139—22no—
456C4⋊C4×C139—22no—
457C4⋊C4×C139—22no—
458C4⋊C4×C139—22no—
459C4⋊C4×C139—22no—
460C4⋊C4×C139—22no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
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—
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—
490C4⋊C4×C139—41no—
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—22no—
507C22⋊C4×C139—22no—
508C22⋊C4×C139—22no—
509C22⋊C4×C139—22no—
510C22⋊C4×C139—22no—
511C22⋊C4×C139—22no—
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—
531C42×C139—22no—
532C42×C139—41no—
533C42×C139—41no—
534C42×C139—41no—
535C42×C139—41no—
536C42×C139—41no—
537C42×C139—41no—
538C23×C139—21no—
539C23×C139—21no—
540C23×C139—21no—
541C23×C139—21no—
542C23×C139—28no—
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—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—44no—
563C23×C139—44no—
564C23×C139—44no—
565C23×C139—44no—
566C23×C139—44no—
567C23×C139—44no—
568C23×C139C2×#4112yes—
569C23×C139H(5,𝔽2)12yes—
570C23×C139H(5,𝔽2)12yes—
571C23×C1392−1+412yes—
572C23×C1392−1+412yes—
573C23×C139C2511yescharacteristic
574Q8×C139—82no—
575Q8×C139—82no—
576Q8×C139—82no—
577D4×C139—44no—
578D4×C139—82no—
579D4×C139—82no—
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—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—44no—
659C2×C4×C139—44no—
660C2×C4×C139—44no—
661C2×C4×C139—44no—
662C2×C4×C139—44no—
663C2×C4×C139—44no—
664C2×C4×C139—44no—
665C2×C4×C139—44no—
666C2×C4×C139—82no—
667C2×C4×C139—82no—
668C2×C4×C139—82no—
669C2×C4×C139C2×#4112yes—
670C2×C4×C139C2×#4112yes—
671C2×C4×C139H(5,𝔽2)12yes—
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—22no—
683C22×C139—22no—
684C22×C139—416no—
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—41no—
695C22×C139—41no—
696C22×C139—41no—
697C22×C139—41no—
698C22×C139—41no—
699C22×C139—41no—
700C22×C139#54214yes—
701C22×C139C22×#4111yescharacteristic
702C22×C139C2×H(5,𝔽2)11yescharacteristic
703C22×C139C2×H(5,𝔽2)11yescharacteristic
704C22×C139C2×H(5,𝔽2)11yescharacteristic
705C22×C139C2×2−1+411yescharacteristic
706C22×C139C2×2−1+411yescharacteristic
707C22×C139#58511yescharacteristic
708C4×C139—22no—
709C4×C139—22no—
710C4×C139—22no—
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—
730C4×C139—41no—
731C4×C139—41no—
732C4×C139—41no—
733C4×C139—41no—
734C4×C139—41no—
735C2×C139—24no—
736C2×C139—42no—
737C2×C139—42no—
738C2×C139—81no—
739C2×C139C2×#54211yescharacteristic
740C2×C139#349211yescharacteristic
741C2×C139#350511yescharacteristic
742C2×C139#353211yescharacteristic
743C2×C139#353511yescharacteristic
744C2×C139#353511yescharacteristic
745C2×C139#353811yescharacteristic
746#36778C13911yesmaximal, characteristic, direct product factor, Sylow
747C139#3677811yescharacteristic, direct product factor, Sylow
748#2849C2×C13911yescharacteristic
749#2848C2×C13911yescharacteristic, complemented
750#2790C2×C13911yescharacteristic, complemented
751#2779C2×C13911yescharacteristic, complemented
752#2770C2×C13911yescharacteristic, complemented
753#2765C2×C13911yescharacteristic, complemented
754#2764C2×C13911yescharacteristic, complemented
755#2763C2×C13911yescharacteristic, complemented
756#2757C2×C13911yescharacteristic, complemented
757#2746C2×C13911yescharacteristic, complemented
758#2739C2×C13911yescharacteristic, complemented
759#2729C2×C13911yescharacteristic, complemented
760#2718C2×C13911yescharacteristic, complemented
761#2717C2×C13911yescharacteristic, complemented
762#2698C2×C13911yescharacteristic, complemented
763#2692C2×C13911yescharacteristic, complemented
764#2687C2×C13911yescharacteristic, complemented
765#2674C2×C13911yescharacteristic, complemented
766#2627C2×C13911yescharacteristic, complemented
767#2623C2×C13911yescharacteristic, complemented
768#2561C2×C13911yescharacteristic, complemented
769#2534C2×C13911yescharacteristic
770#2493C2×C13911yescharacteristic, complemented
771#2488C2×C13911yescharacteristic, complemented
772#2480C2×C13911yescharacteristic, complemented
773#2472C2×C13911yescharacteristic
774#2440C2×C13911yescharacteristic, complemented
775#2417C2×C13911yescharacteristic, complemented
776#2329C2×C13911yescharacteristic, complemented
777#2318C2×C13911yescharacteristic, complemented
778C2×#385C2×C13911yescharacteristic, complemented
779C24×C4C22×C13911yescharacteristic
780C2×C4⋊Q8C22×C13911yescharacteristic, complemented
781C2×#126C22×C13911yescharacteristic
782C2×#124C22×C13911yescharacteristic
783C2×#123C22×C13911yescharacteristic
784C2×#123C22×C13911yescharacteristic
785C2×#123C22×C13911yescharacteristic
786C2×C22⋊Q8C22×C13911yescharacteristic
787C2×C22⋊Q8C22×C13911yescharacteristic
788C2×C22⋊Q8C22×C13911yescharacteristic
789C2×C22⋊Q8C22×C13911yescharacteristic
790C2×C22⋊Q8C22×C13911yescharacteristic
791C2×C22⋊Q8C22×C13911yescharacteristic, complemented
792C2×#120C22×C13911yescharacteristic
793C2×C4×D4C22×C13911yescharacteristic
794C22×C4⋊C4C22×C13911yescharacteristic
795C22×C4⋊C4C22×C13911yescharacteristic
796C22×C22⋊C4C22×C13911yescharacteristic
797C22×C22⋊C4C22×C13911yescharacteristic
798#401C22×C13911yescharacteristic, complemented
799#400C22×C13911yescharacteristic, complemented
800#400C22×C13911yescharacteristic, complemented
801#400C22×C13911yescharacteristic, complemented
802#400C22×C13911yescharacteristic, complemented
803#400C22×C13911yescharacteristic, complemented
804#400C22×C13911yescharacteristic, complemented
805#400C22×C13911yescharacteristic, complemented
806#400C22×C13911yescharacteristic, complemented
807#400C22×C13911yescharacteristic, complemented
808#399C22×C13911yescharacteristic, complemented
809#399C22×C13911yescharacteristic, complemented
810#398C22×C13911yescharacteristic, complemented
811#398C22×C13911yescharacteristic, complemented
812#398C22×C13911yescharacteristic, complemented
813#398C22×C13911yescharacteristic, complemented
814#398C22×C13911yescharacteristic, complemented
815#398C22×C13911yescharacteristic, complemented
816#398C22×C13911yescharacteristic, complemented
817#398C22×C13911yescharacteristic, complemented
818#398C22×C13911yescharacteristic, complemented
819#398C22×C13911yescharacteristic, complemented
820#397C22×C13911yescharacteristic
821#397C22×C13911yescharacteristic
822#397C22×C13911yescharacteristic
823#397C22×C13911yescharacteristic
824#397C22×C13911yescharacteristic
825#397C22×C13911yescharacteristic
826#397C22×C13911yescharacteristic, complemented
827#397C22×C13911yescharacteristic, complemented
828#397C22×C13911yescharacteristic, complemented
829#396C22×C13911yescharacteristic
830#396C22×C13911yescharacteristic
831#396C22×C13911yescharacteristic
832#396C22×C13911yescharacteristic, complemented
833#396C22×C13911yescharacteristic, complemented
834#395C22×C13911yescharacteristic, complemented
835#395C22×C13911yescharacteristic, complemented
836#395C22×C13911yescharacteristic, complemented
837#395C22×C13911yescharacteristic, complemented
838#394C22×C13911yescharacteristic
839#394C22×C13911yescharacteristic
840#394C22×C13911yescharacteristic
841#394C22×C13911yescharacteristic
842#393C22×C13911yescharacteristic
843#393C22×C13911yescharacteristic
844#393C22×C13911yescharacteristic
845#393C22×C13911yescharacteristic, complemented
846#391C22×C13911yescharacteristic, complemented
847#391C22×C13911yescharacteristic, complemented
848#391C22×C13911yescharacteristic, complemented
849#391C22×C13911yescharacteristic, complemented
850#390C22×C13911yescharacteristic
851#389C22×C13911yescharacteristic, complemented
852#389C22×C13911yescharacteristic, complemented
853#389C22×C13911yescharacteristic, complemented
854#389C22×C13911yescharacteristic, complemented
855#389C22×C13911yescharacteristic, complemented
856#388C22×C13911yescharacteristic
857#388C22×C13911yescharacteristic
858#388C22×C13911yescharacteristic
859#388C22×C13911yescharacteristic
860#388C22×C13911yescharacteristic
861#388C22×C13911yescharacteristic
862#388C22×C13911yescharacteristic
863#388C22×C13911yescharacteristic
864#388C22×C13911yescharacteristic
865#388C22×C13911yescharacteristic
866#388C22×C13911yescharacteristic
867#388C22×C13911yescharacteristic, complemented
868#388C22×C13911yescharacteristic, complemented
869#388C22×C13911yescharacteristic, complemented
870#388C22×C13911yescharacteristic, complemented
871#387C22×C13911yescharacteristic, complemented
872#387C22×C13911yescharacteristic, complemented
873#387C22×C13911yescharacteristic, complemented
874#387C22×C13911yescharacteristic, complemented
875#387C22×C13911yescharacteristic, complemented
876#387C22×C13911yescharacteristic, complemented
877#387C22×C13911yescharacteristic, complemented
878#387C22×C13911yescharacteristic, complemented
879#387C22×C13911yescharacteristic, complemented
880#386C22×C13911yescharacteristic
881#386C22×C13911yescharacteristic
882#386C22×C13911yescharacteristic
883#386C22×C13911yescharacteristic
884#386C22×C13911yescharacteristic
885#386C22×C13911yescharacteristic
886#386C22×C13911yescharacteristic
887#386C22×C13911yescharacteristic
888#385C22×C13911yescharacteristic
889#385C22×C13911yescharacteristic
890#385C22×C13911yescharacteristic
891#385C22×C13911yescharacteristic
892#385C22×C13911yescharacteristic
893#385C22×C13911yescharacteristic
894#385C22×C13911yescharacteristic
895#385C22×C13911yescharacteristic
896#385C22×C13911yescharacteristic
897#385C22×C13911yescharacteristic
898#385C22×C13911yescharacteristic
899#385C22×C13911yescharacteristic
900#385C22×C13911yescharacteristic
901#385C22×C13911yescharacteristic
902#385C22×C13911yescharacteristic
903#385C22×C13911yescharacteristic
904#385C22×C13911yescharacteristic
905#385C22×C13911yescharacteristic
906#385C22×C13911yescharacteristic
907#385C22×C13911yescharacteristic
908#384C22×C13911yescharacteristic, complemented
909#383C22×C13911yescharacteristic, complemented
910#383C22×C13911yescharacteristic, complemented
911#382C22×C13911yescharacteristic, complemented
912#382C22×C13911yescharacteristic, complemented
913#381C22×C13911yescharacteristic
914#381C22×C13911yescharacteristic
915#381C22×C13911yescharacteristic
916#381C22×C13911yescharacteristic
917#381C22×C13911yescharacteristic
918#381C22×C13911yescharacteristic, complemented
919#380C22×C13911yescharacteristic
920#380C22×C13911yescharacteristic
921#380C22×C13911yescharacteristic
922#380C22×C13911yescharacteristic
923#380C22×C13911yescharacteristic
924#380C22×C13911yescharacteristic, complemented
925#380C22×C13911yescharacteristic, complemented
926#379C22×C13911yescharacteristic
927#379C22×C13911yescharacteristic
928#379C22×C13911yescharacteristic
929C4×C22⋊C4C22×C13911yescharacteristic
930C4×C22⋊C4C22×C13911yescharacteristic
931C4×C22⋊C4C22×C13911yescharacteristic
932C2×#95C22×C13911yescharacteristic
933C2×#95C22×C13911yescharacteristic
934C25C23×C13911yescharacteristic
935C22×Q8C23×C13911yescharacteristic
936C22×Q8C23×C13911yescharacteristic
937C22×Q8C23×C13911yescharacteristic
938C22×D4C23×C13911yescharacteristic
939C22×D4C23×C13911yescharacteristic
940C22×D4C23×C13911yescharacteristic
941C23×C4—42no—
942C23×C4—42no—
943C23×C4—42no—
944C23×C4C23×C13911yescharacteristic
945C23×C4C23×C13911yescharacteristic
946C23×C4C23×C13911yescharacteristic
947C23×C4C23×C13911yescharacteristic
948C23×C4C23×C13911yescharacteristic
949C23×C4C23×C13911yescharacteristic
950C23×C4C23×C13911yescharacteristic
951C23×C4C23×C13911yescharacteristic
952C23×C4C23×C13911yescharacteristic
953C23×C4C23×C13911yescharacteristic
954C23×C4C23×C13911yescharacteristic
955C4⋊Q8—42no—
956#126—42no—
957#124—42no—
958#123—42no—
959#123—42no—
960#123—42no—
961C22⋊Q8—24no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967#120—42no—
968C4×D4—24no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—42no—
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×C4⋊C4C23×C13911yescharacteristic
986C2×C4⋊C4C23×C13911yescharacteristic
987C2×C4⋊C4C23×C13911yescharacteristic
988C2×C4⋊C4C23×C13911yescharacteristic
989C2×C4⋊C4C23×C13911yescharacteristic
990C2×C4⋊C4C23×C13911yescharacteristic
991C2×C4⋊C4C23×C13911yescharacteristic
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C4⋊C4C23×C13911yescharacteristic
999C2×C4⋊C4C23×C13911yescharacteristic
1000C2×C4⋊C4C23×C13911yescharacteristic
1001C2×C4⋊C4C23×C13911yescharacteristic
1002C2×C4⋊C4C23×C13911yescharacteristic
1003C2×C4⋊C4C23×C13911yescharacteristic
1004C2×C4⋊C4C23×C13911yescharacteristic
1005C2×C4⋊C4C23×C13911yescharacteristic
1006C2×C4⋊C4C23×C13911yescharacteristic
1007C2×C4⋊C4C23×C13911yescharacteristic
1008C2×C4⋊C4C23×C13911yescharacteristic
1009C2×C22⋊C4—24no—
1010C2×C22⋊C4—42no—
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×C22⋊C4C23×C13911yescharacteristic
1026C2×C22⋊C4C23×C13911yescharacteristic
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C42C23×C13911yescharacteristic
1052C2×C42C23×C13911yescharacteristic
1053C2×C42C23×C13911yescharacteristic
1054C2×C42C23×C13911yescharacteristic
1055C2×C42C23×C13911yescharacteristic
1056C2×C42C23×C13911yescharacteristic
1057C2×C42C23×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
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—41no—
1116C24—41no—
1117C24C24×C13911yescharacteristic
1118C24C24×C13911yescharacteristic
1119C24C24×C13911yescharacteristic
1120C24C24×C13911yescharacteristic
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
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—41no—
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—41no—
1170C22×C4—41no—
1171C22×C4—416no—
1172C22×C4#41×C13914yes—
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
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
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—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
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—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—28no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#41×C13912yes—
1316C23H(5,𝔽2)×C13912yes—
1317C23H(5,𝔽2)×C13912yes—
1318C232−1+4×C13912yes—
1319C232−1+4×C13912yes—
1320C23C25×C13911yescharacteristic
1321Q8—82no—
1322Q8—82no—
1323Q8—82no—
1324D4—44no—
1325D4—82no—
1326D4—82no—
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—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4—82no—
1416C2×C4C2×#41×C13912yes—
1417C2×C4C2×#41×C13912yes—
1418C2×C4H(5,𝔽2)×C13912yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—416no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22#542×C13914yes—
1448C22C22×#41×C13911yescharacteristic
1449C22C2×H(5,𝔽2)×C13911yescharacteristic
1450C22C2×H(5,𝔽2)×C13911yescharacteristic
1451C22C2×H(5,𝔽2)×C13911yescharacteristic
1452C22C2×2−1+4×C13911yescharacteristic
1453C22C2×2−1+4×C13911yescharacteristic
1454C22#585×C13911yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
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—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C2—24no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2C2×#542×C13911yescharacteristic
1487C2#3492×C13911yescharacteristic
1488C2#3505×C13911yescharacteristic
1489C2#3532×C13911yescharacteristic
1490C2#3535×C13911yescharacteristic
1491C2#3535×C13911yescharacteristic
1492C2#3538×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
2. #2848×C139C2semidirect
3. #2790×C139C2semidirect
4. #2779×C139C2semidirect
5. #2770×C139C2semidirect
6. #2765×C139C2semidirect
7. #2764×C139C2semidirect
8. #2763×C139C2semidirect
9. #2757×C139C2semidirect
10. #2746×C139C2semidirect
11. #2739×C139C2semidirect
12. #2729×C139C2semidirect
13. #2718×C139C2semidirect
14. #2717×C139C2semidirect
15. #2698×C139C2semidirect
16. #2692×C139C2semidirect
17. #2687×C139C2semidirect
18. #2674×C139C2semidirect
19. #2627×C139C2semidirect
20. #2623×C139C2semidirect
21. #2561×C139C2semidirect
23. #2493×C139C2semidirect
24. #2488×C139C2semidirect
25. #2480×C139C2semidirect
27. #2440×C139C2semidirect
28. #2417×C139C2semidirect
29. #2329×C139C2semidirect
30. #2318×C139C2semidirect
31. C2×#385×C139C2semidirect
33. C2×C4⋊Q8×C139C22semidirect
44. C2×C22⋊Q8×C139C22semidirect
51. #401×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #400×C139C22semidirect
59. #400×C139C22semidirect
60. #400×C139C22semidirect
61. #399×C139C22semidirect
62. #399×C139C22semidirect
63. #398×C139C22semidirect
64. #398×C139C22semidirect
65. #398×C139C22semidirect
66. #398×C139C22semidirect
67. #398×C139C22semidirect
68. #398×C139C22semidirect
69. #398×C139C22semidirect
70. #398×C139C22semidirect
71. #398×C139C22semidirect
72. #398×C139C22semidirect
79. #397×C139C22semidirect
80. #397×C139C22semidirect
81. #397×C139C22semidirect
85. #396×C139C22semidirect
86. #396×C139C22semidirect
87. #395×C139C22semidirect
88. #395×C139C22semidirect
89. #395×C139C22semidirect
90. #395×C139C22semidirect
98. #393×C139C22semidirect
99. #391×C139C22semidirect
100. #391×C139C22semidirect
101. #391×C139C22semidirect
102. #391×C139C22semidirect
104. #389×C139C22semidirect
105. #389×C139C22semidirect
106. #389×C139C22semidirect
107. #389×C139C22semidirect
108. #389×C139C22semidirect
120. #388×C139C22semidirect
121. #388×C139C22semidirect
122. #388×C139C22semidirect
123. #388×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
131. #387×C139C22semidirect
132. #387×C139C22semidirect
161. #384×C139C22semidirect
162. #383×C139C22semidirect
163. #383×C139C22semidirect
164. #382×C139C22semidirect
165. #382×C139C22semidirect
171. #381×C139C22semidirect
177. #380×C139C22semidirect
178. #380×C139C22semidirect
746. #36778C139direct (N × H)
747. C139#36778direct (N × H)
749. #2848C2×C139semidirect
750. #2790C2×C139semidirect
751. #2779C2×C139semidirect
752. #2770C2×C139semidirect
753. #2765C2×C139semidirect
754. #2764C2×C139semidirect
755. #2763C2×C139semidirect
756. #2757C2×C139semidirect
757. #2746C2×C139semidirect
758. #2739C2×C139semidirect
759. #2729C2×C139semidirect
760. #2718C2×C139semidirect
761. #2717C2×C139semidirect
762. #2698C2×C139semidirect
763. #2692C2×C139semidirect
764. #2687C2×C139semidirect
765. #2674C2×C139semidirect
766. #2627C2×C139semidirect
767. #2623C2×C139semidirect
768. #2561C2×C139semidirect
770. #2493C2×C139semidirect
771. #2488C2×C139semidirect
772. #2480C2×C139semidirect
774. #2440C2×C139semidirect
775. #2417C2×C139semidirect
776. #2329C2×C139semidirect
777. #2318C2×C139semidirect
778. C2×#385C2×C139semidirect
780. C2×C4⋊Q8C22×C139semidirect
791. C2×C22⋊Q8C22×C139semidirect
798. #401C22×C139semidirect
799. #400C22×C139semidirect
800. #400C22×C139semidirect
801. #400C22×C139semidirect
802. #400C22×C139semidirect
803. #400C22×C139semidirect
804. #400C22×C139semidirect
805. #400C22×C139semidirect
806. #400C22×C139semidirect
807. #400C22×C139semidirect
808. #399C22×C139semidirect
809. #399C22×C139semidirect
810. #398C22×C139semidirect
811. #398C22×C139semidirect
812. #398C22×C139semidirect
813. #398C22×C139semidirect
814. #398C22×C139semidirect
815. #398C22×C139semidirect
816. #398C22×C139semidirect
817. #398C22×C139semidirect
818. #398C22×C139semidirect
819. #398C22×C139semidirect
826. #397C22×C139semidirect
827. #397C22×C139semidirect
828. #397C22×C139semidirect
832. #396C22×C139semidirect
833. #396C22×C139semidirect
834. #395C22×C139semidirect
835. #395C22×C139semidirect
836. #395C22×C139semidirect
837. #395C22×C139semidirect
845. #393C22×C139semidirect
846. #391C22×C139semidirect
847. #391C22×C139semidirect
848. #391C22×C139semidirect
849. #391C22×C139semidirect
851. #389C22×C139semidirect
852. #389C22×C139semidirect
853. #389C22×C139semidirect
854. #389C22×C139semidirect
855. #389C22×C139semidirect
867. #388C22×C139semidirect
868. #388C22×C139semidirect
869. #388C22×C139semidirect
870. #388C22×C139semidirect
871. #387C22×C139semidirect
872. #387C22×C139semidirect
873. #387C22×C139semidirect
874. #387C22×C139semidirect
875. #387C22×C139semidirect
876. #387C22×C139semidirect
877. #387C22×C139semidirect
878. #387C22×C139semidirect
879. #387C22×C139semidirect
908. #384C22×C139semidirect
909. #383C22×C139semidirect
910. #383C22×C139semidirect
911. #382C22×C139semidirect
912. #382C22×C139semidirect
918. #381C22×C139semidirect
924. #380C22×C139semidirect
925. #380C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2849×C1392
#2848×C1392
#2790×C1392
#2779×C1392
#2770×C1392
#2765×C1392
#2764×C1392
#2763×C1392
#2757×C1392
#2746×C1392
#2739×C1392
#2729×C1392
#2718×C1392
#2717×C1392
#2698×C1392
#2692×C1392
#2687×C1392
#2674×C1392
#2627×C1392
#2623×C1392
#2561×C1392
#2534×C1392
#2493×C1392
#2488×C1392
#2480×C1392
#2472×C1392
#2440×C1392
#2417×C1392
#2329×C1392
#2318×C1392
C2×#385×C1392
#36778139