Finite Group Databasebeta

← C139×#36267 #48030863

Subgroups — C139×#36267 #48030863

Order 35584.

2370 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#552×C139C211yesmaximal, characteristic, complemented
2C2×#551×C139C211yesmaximal, characteristic, complemented
3#2861×C139C211yesmaximal, characteristic, complemented
4#2860×C139C211yesmaximal, characteristic, complemented
5#2854×C139C211yesmaximal, characteristic, complemented
6#2611×C139C211yesmaximal, characteristic, complemented
7#2610×C139C211yesmaximal, characteristic, complemented
8#2604×C139C211yesmaximal, characteristic, complemented
9#2603×C139C211yesmaximal, characteristic, complemented
10#2560×C139C211yesmaximal, characteristic, complemented
11#2560×C139C211yesmaximal, characteristic, complemented
12#2558×C139C211yesmaximal, characteristic, complemented
13#2558×C139C211yesmaximal, characteristic, complemented
14#2556×C139C211yesmaximal, characteristic, complemented
15#2554×C139C211yesmaximal, characteristic, complemented
16#2549×C139C211yesmaximal, characteristic, complemented
17#2539×C139C211yesmaximal, characteristic
18#2519×C139C211yesmaximal, characteristic, complemented
19#2488×C139C211yesmaximal, characteristic, complemented
20#2472×C139C211yesmaximal, characteristic, complemented
21#2461×C139C211yesmaximal, characteristic, complemented
22#2413×C139C211yesmaximal, characteristic, complemented
23#2411×C139C211yesmaximal, characteristic, complemented
24#2364×C139C211yesmaximal, characteristic, complemented
25#2359×C139C211yesmaximal, characteristic, complemented
26#2358×C139C211yesmaximal, characteristic, complemented
27#2342×C139C211yesmaximal, characteristic, complemented
28C4×#124×C139C211yesmaximal, characteristic, complemented
29#2293×C139C211yesmaximal, characteristic, complemented
30C2×#388×C139C211yesmaximal, characteristic, complemented
31C4×#117×C139C211yesmaximal, characteristic, complemented
32#552×C139—28no—
33#551×C139—28no—
34C2×#126×C139C2211yescharacteristic
35C2×#126×C139C2211yescharacteristic
36C2×#126×C139C2211yescharacteristic, complemented
37C2×#126×C139C2211yescharacteristic, complemented
38C2×#125×C139C2211yescharacteristic, complemented
39C2×#125×C139C2211yescharacteristic, complemented
40C2×#125×C139C2211yescharacteristic, complemented
41C2×#124×C139C2211yescharacteristic
42C2×#124×C139C2211yescharacteristic
43C2×#123×C139C2211yescharacteristic
44C2×#123×C139C2211yescharacteristic
45C2×#123×C139C2211yescharacteristic
46C2×#123×C139C2211yescharacteristic
47C2×#123×C139C2211yescharacteristic
48C2×#123×C139C2211yescharacteristic
49C2×C22⋊Q8×C139C2211yescharacteristic
50C2×C22⋊Q8×C139C2211yescharacteristic
51C2×C22⋊Q8×C139C2211yescharacteristic
52C2×C22⋊Q8×C139C2211yescharacteristic, complemented
53C2×#121×C139C2211yescharacteristic
54C2×#120×C139C2211yescharacteristic
55C2×#120×C139C2211yescharacteristic
56C2×C4×Q8×C139C2211yescharacteristic, complemented
57C2×C4×D4×C139C2211yescharacteristic
58C2×C4×D4×C139C2211yescharacteristic
59C2×C4×D4×C139C2211yescharacteristic
60C2×C4×D4×C139C2211yescharacteristic
61C2×#117×C139C2211yescharacteristic
62C2×#117×C139C2211yescharacteristic
63C2×#117×C139C2211yescharacteristic
64C2×#117×C139C2211yescharacteristic
65C2×#117×C139C2211yescharacteristic, complemented
66C22×C4⋊C4×C139C2211yescharacteristic
67C22×C22⋊C4×C139C2211yescharacteristic
68C22×C22⋊C4×C139C2211yescharacteristic
69C22×C22⋊C4×C139C2211yescharacteristic
70C22×C22⋊C4×C139C2211yescharacteristic
71C22×C42×C139C2211yescharacteristic
72#400×C139C2211yescharacteristic, complemented
73#400×C139C2211yescharacteristic, complemented
74#399×C139C2211yescharacteristic
75#399×C139C2211yescharacteristic
76#398×C139C2211yescharacteristic, complemented
77#398×C139C2211yescharacteristic, complemented
78#398×C139C2211yescharacteristic, complemented
79#398×C139C2211yescharacteristic, complemented
80#397×C139C2211yescharacteristic
81#397×C139C2211yescharacteristic, complemented
82#396×C139C2211yescharacteristic
83#396×C139C2211yescharacteristic
84#396×C139C2211yescharacteristic, complemented
85#396×C139C2211yescharacteristic, complemented
86#395×C139C2211yescharacteristic, complemented
87#395×C139C2211yescharacteristic, complemented
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#393×C139C2211yescharacteristic
93#393×C139C2211yescharacteristic, complemented
94#392×C139C2211yescharacteristic
95#392×C139C2211yescharacteristic
96#391×C139C2211yescharacteristic, complemented
97#391×C139C2211yescharacteristic, complemented
98#391×C139C2211yescharacteristic, complemented
99#390×C139C2211yescharacteristic
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic
104#390×C139C2211yescharacteristic
105#390×C139C2211yescharacteristic
106#390×C139C2211yescharacteristic
107#390×C139C2211yescharacteristic, complemented
108#390×C139C2211yescharacteristic, complemented
109#389×C139C2211yescharacteristic, complemented
110#389×C139C2211yescharacteristic, complemented
111#389×C139C2211yescharacteristic, complemented
112#389×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
134#388×C139C2211yescharacteristic, complemented
135#388×C139C2211yescharacteristic, complemented
136#388×C139C2211yescharacteristic, complemented
137#388×C139C2211yescharacteristic, complemented
138#388×C139C2211yescharacteristic, complemented
139#388×C139C2211yescharacteristic, complemented
140#388×C139C2211yescharacteristic, complemented
141#388×C139C2211yescharacteristic, complemented
142#388×C139C2211yescharacteristic, complemented
143#388×C139C2211yescharacteristic, complemented
144#388×C139C2211yescharacteristic, complemented
145#388×C139C2211yescharacteristic, complemented
146#387×C139C2211yescharacteristic, complemented
147#387×C139C2211yescharacteristic, complemented
148#387×C139C2211yescharacteristic, complemented
149#387×C139C2211yescharacteristic, complemented
150#386×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#386×C139C2211yescharacteristic
156#386×C139C2211yescharacteristic, complemented
157#386×C139C2211yescharacteristic, complemented
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#385×C139C2211yescharacteristic, complemented
164#382×C139C2211yescharacteristic, complemented
165#381×C139C2211yescharacteristic
166#380×C139C2211yescharacteristic
167#379×C139C2211yescharacteristic
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C4⋊C4×C139C2211yescharacteristic, complemented
170C4×C4⋊C4×C139C2211yescharacteristic, complemented
171C4×C4⋊C4×C139C2211yescharacteristic, complemented
172C4×C4⋊C4×C139C2211yescharacteristic, complemented
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic, complemented
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183#376×C139C2211yescharacteristic, complemented
184#376×C139C2211yescharacteristic, complemented
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C43×C139C2211yescharacteristic, complemented
188C43×C139C2211yescharacteristic, complemented
189C25×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×Q8×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209#126×C139—24no—
210#126×C139—24no—
211#126×C139—24no—
212#126×C139—24no—
213#125×C139—24no—
214#125×C139—24no—
215#125×C139—24no—
216#124×C139—24no—
217#124×C139—24no—
218#123×C139—24no—
219#123×C139—24no—
220#123×C139—24no—
221#123×C139—24no—
222#123×C139—24no—
223#123×C139—24no—
224C22⋊Q8×C139—24no—
225C22⋊Q8×C139—24no—
226C22⋊Q8×C139—24no—
227C22⋊Q8×C139—24no—
228#121×C139—24no—
229#120×C139—24no—
230#120×C139—24no—
231C4×Q8×C139—24no—
232C4×D4×C139—24no—
233C4×D4×C139—24no—
234C4×D4×C139—24no—
235C4×D4×C139—24no—
236#117×C139—24no—
237#117×C139—24no—
238#117×C139—24no—
239#117×C139—24no—
240#117×C139D418yescomplemented
241C2×C4⋊C4×C139—24no—
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×C4⋊C4×C139C2311yescharacteristic
263C2×C4⋊C4×C139C2311yescharacteristic
264C2×C4⋊C4×C139C2311yescharacteristic
265C2×C4⋊C4×C139C2311yescharacteristic
266C2×C4⋊C4×C139C2311yescharacteristic
267C2×C4⋊C4×C139C2311yescharacteristic
268C2×C4⋊C4×C139C2311yescharacteristic
269C2×C4⋊C4×C139C2311yescharacteristic
270C2×C4⋊C4×C139C2311yescharacteristic
271C2×C4⋊C4×C139C2311yescharacteristic
272C2×C4⋊C4×C139C2311yescharacteristic
273C2×C4⋊C4×C139C2311yescharacteristic
274C2×C4⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139—24no—
276C2×C22⋊C4×C139—24no—
277C2×C22⋊C4×C139—24no—
278C2×C22⋊C4×C139—24no—
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×C22⋊C4×C139C2311yescharacteristic
312C2×C22⋊C4×C139C2311yescharacteristic
313C2×C22⋊C4×C139C2311yescharacteristic
314C2×C22⋊C4×C139C2311yescharacteristic
315C2×C22⋊C4×C139C2311yescharacteristic
316C2×C22⋊C4×C139C2311yescharacteristic
317C2×C22⋊C4×C139C2311yescharacteristic
318C2×C22⋊C4×C139C2311yescharacteristic
319C2×C22⋊C4×C139C2311yescharacteristic
320C2×C22⋊C4×C139C2311yescharacteristic
321C2×C22⋊C4×C139C2311yescharacteristic
322C2×C22⋊C4×C139C2311yescharacteristic
323C2×C22⋊C4×C139C2311yescharacteristic
324C2×C22⋊C4×C139C2311yescharacteristic
325C2×C22⋊C4×C139C2311yescharacteristic
326C2×C22⋊C4×C139C2311yescharacteristic
327C2×C42×C139—24no—
328C2×C42×C139C2311yescharacteristic
329C2×C42×C139C2311yescharacteristic
330C2×C42×C139C2311yescharacteristic
331C2×C42×C139C2311yescharacteristic
332C2×C42×C139C2311yescharacteristic
333C2×C42×C139C2311yescharacteristic
334C2×C42×C139C2311yescharacteristic
335C2×C42×C139C2311yescharacteristic
336C2×C42×C139C2311yescharacteristic
337C2×C42×C139C2311yescharacteristic
338C2×C42×C139C2311yescharacteristic
339C2×C42×C139C2311yescharacteristic
340C2×C42×C139C2311yescharacteristic
341C2×C42×C139C2311yescharacteristic
342C2×C42×C139C2311yescharacteristic
343C2×C42×C139C2311yescharacteristic
344C2×C42×C139C2311yescharacteristic
345C2×C42×C139C2311yescharacteristic
346C2×C42×C139C2311yescharacteristic
347C2×C42×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369#95×C139C2311yescharacteristic
370#95×C139C2311yescharacteristic
371#95×C139C2311yescharacteristic
372#95×C139C2311yescharacteristic
373#95×C139C2311yescharacteristic
374#95×C139C2311yescharacteristic
375#95×C139C2311yescharacteristic
376#95×C139C2311yescharacteristic
377#95×C139C2311yescharacteristic
378#95×C139C2311yescharacteristic
379#95×C139C2311yescharacteristic
380#95×C139C2311yescharacteristic
381#95×C139C2311yescharacteristic
382C24×C139—22no—
383C24×C139—22no—
384C24×C139—22no—
385C24×C139—22no—
386C24×C139—41no—
387C24×C139—41no—
388C24×C139—41no—
389C24×C139C2411yescharacteristic
390C24×C139C2411yescharacteristic
391C24×C139C2411yescharacteristic
392C24×C139C2411yescharacteristic
393C24×C139C2411yescharacteristic
394C2×Q8×C139—22no—
395C2×Q8×C139—22no—
396C2×Q8×C139—22no—
397C2×Q8×C139—41no—
398C2×Q8×C139—41no—
399C2×Q8×C139—41no—
400C2×D4×C139—22no—
401C2×D4×C139—22no—
402C2×D4×C139—22no—
403C2×D4×C139—22no—
404C2×D4×C139—22no—
405C2×D4×C139—22no—
406C2×D4×C139—22no—
407C2×D4×C139—22no—
408C2×D4×C139—22no—
409C2×D4×C139—22no—
410C2×D4×C139—22no—
411C2×D4×C139—22no—
412C2×D4×C139—22no—
413C2×D4×C139—41no—
414C2×D4×C139—41no—
415C2×D4×C139—41no—
416C2×D4×C139—41no—
417C2×D4×C139—41no—
418C2×D4×C139—41no—
419C2×D4×C139—41no—
420C2×D4×C139—41no—
421C22×C4×C139—22no—
422C22×C4×C139—22no—
423C22×C4×C139—22no—
424C22×C4×C139—22no—
425C22×C4×C139—22no—
426C22×C4×C139—22no—
427C22×C4×C139—22no—
428C22×C4×C139—22no—
429C22×C4×C139—22no—
430C22×C4×C139—22no—
431C22×C4×C139—22no—
432C22×C4×C139—22no—
433C22×C4×C139—22no—
434C22×C4×C139—22no—
435C22×C4×C139—22no—
436C22×C4×C139—22no—
437C22×C4×C139—41no—
438C22×C4×C139—41no—
439C22×C4×C139—41no—
440C22×C4×C139—41no—
441C22×C4×C139—41no—
442C22×C4×C139—41no—
443C22×C4×C139—41no—
444C22×C4×C139—41no—
445C22×C4×C139—41no—
446C22×C4×C139—41no—
447C22×C4×C139—41no—
448C22×C4×C139—41no—
449C22×C4×C139C2×D414yes—
450C22×C4×C139#4114yes—
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C22×C4×C139C2411yescharacteristic
459C22×C4×C139C2411yescharacteristic
460C22×C4×C139C2411yescharacteristic
461C22×C4×C139C2411yescharacteristic
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C22×C4×C139C2411yescharacteristic
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
467C22×C4×C139C2411yescharacteristic
468C22×C4×C139C2411yescharacteristic
469C22×C4×C139C2411yescharacteristic
470C22×C4×C139C2411yescharacteristic
471C22×C4×C139C2411yescharacteristic
472C22×C4×C139C2411yescharacteristic
473C22×C4×C139C2411yescharacteristic
474C22×C4×C139C2411yescharacteristic
475C22×C4×C139C2411yescharacteristic
476C22×C4×C139C2411yescharacteristic
477C4⋊C4×C139—22no—
478C4⋊C4×C139—22no—
479C4⋊C4×C139—22no—
480C4⋊C4×C139—22no—
481C4⋊C4×C139—22no—
482C4⋊C4×C139—22no—
483C4⋊C4×C139—22no—
484C4⋊C4×C139—22no—
485C4⋊C4×C139—22no—
486C4⋊C4×C139—22no—
487C4⋊C4×C139—22no—
488C4⋊C4×C139—22no—
489C4⋊C4×C139—22no—
490C4⋊C4×C139—22no—
491C4⋊C4×C139—22no—
492C4⋊C4×C139—22no—
493C4⋊C4×C139—22no—
494C4⋊C4×C139—22no—
495C4⋊C4×C139—22no—
496C4⋊C4×C139—22no—
497C4⋊C4×C139—22no—
498C4⋊C4×C139—22no—
499C4⋊C4×C139—22no—
500C4⋊C4×C139—22no—
501C4⋊C4×C139—22no—
502C4⋊C4×C139—22no—
503C4⋊C4×C139—41no—
504C4⋊C4×C139—41no—
505C4⋊C4×C139—41no—
506C4⋊C4×C139—41no—
507C4⋊C4×C139—41no—
508C4⋊C4×C139C2×D414yes—
509C4⋊C4×C139C2×D414yes—
510C22⋊C4×C139—22no—
511C22⋊C4×C139—22no—
512C22⋊C4×C139—22no—
513C22⋊C4×C139—22no—
514C22⋊C4×C139—22no—
515C22⋊C4×C139—22no—
516C22⋊C4×C139—22no—
517C22⋊C4×C139—22no—
518C22⋊C4×C139—22no—
519C22⋊C4×C139—22no—
520C22⋊C4×C139—22no—
521C22⋊C4×C139—22no—
522C22⋊C4×C139—22no—
523C22⋊C4×C139—22no—
524C22⋊C4×C139—22no—
525C22⋊C4×C139—22no—
526C22⋊C4×C139—22no—
527C22⋊C4×C139—22no—
528C22⋊C4×C139—22no—
529C22⋊C4×C139—22no—
530C22⋊C4×C139—22no—
531C22⋊C4×C139—22no—
532C22⋊C4×C139—22no—
533C22⋊C4×C139—22no—
534C22⋊C4×C139—22no—
535C22⋊C4×C139—22no—
536C22⋊C4×C139—22no—
537C22⋊C4×C139—22no—
538C22⋊C4×C139—22no—
539C22⋊C4×C139—22no—
540C22⋊C4×C139—22no—
541C22⋊C4×C139—22no—
542C22⋊C4×C139—22no—
543C22⋊C4×C139—22no—
544C22⋊C4×C139—22no—
545C22⋊C4×C139—22no—
546C22⋊C4×C139—41no—
547C22⋊C4×C139—41no—
548C22⋊C4×C139—41no—
549C22⋊C4×C139—41no—
550C22⋊C4×C139—41no—
551C22⋊C4×C139—41no—
552C22⋊C4×C139—41no—
553C22⋊C4×C139—41no—
554C22⋊C4×C139C2×D414yes—
555C22⋊C4×C139C2×D414yes—
556C22⋊C4×C139#4114yes—
557C22⋊C4×C139#4114yes—
558C42×C139—22no—
559C42×C139—22no—
560C42×C139—22no—
561C42×C139—22no—
562C42×C139—22no—
563C42×C139—22no—
564C42×C139—22no—
565C42×C139—22no—
566C42×C139—22no—
567C42×C139—22no—
568C42×C139—22no—
569C42×C139—22no—
570C42×C139—41no—
571C42×C139—41no—
572C42×C139—41no—
573C42×C139—41no—
574C42×C139—41no—
575C42×C139—41no—
576C42×C139C2×D414yes—
577C42×C139C2×D414yes—
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—21no—
598C23×C139—21no—
599C23×C139—21no—
600C23×C139—21no—
601C23×C139—21no—
602C23×C139—21no—
603C23×C139—21no—
604C23×C139—21no—
605C23×C139—21no—
606C23×C139—21no—
607C23×C139—21no—
608C23×C139—21no—
609C23×C139—44no—
610C23×C139—44no—
611C23×C139—44no—
612C23×C139—44no—
613C23×C139—82no—
614C23×C139—82no—
615C23×C139—82no—
616C23×C139C22×D412yes—
617C23×C139C2×#4112yes—
618C23×C139C2×#4112yes—
619C23×C139C2×#4112yes—
620C23×C139C2511yescharacteristic
621Q8×C139—44no—
622Q8×C139—82no—
623D4×C139—44no—
624D4×C139—44no—
625D4×C139—44no—
626D4×C139—44no—
627D4×C139—82no—
628D4×C139—82no—
629D4×C139—82no—
630C2×C4×C139—28no—
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—21no—
693C2×C4×C139—21no—
694C2×C4×C139—21no—
695C2×C4×C139—21no—
696C2×C4×C139—21no—
697C2×C4×C139—44no—
698C2×C4×C139—44no—
699C2×C4×C139—44no—
700C2×C4×C139—44no—
701C2×C4×C139—44no—
702C2×C4×C139—44no—
703C2×C4×C139—82no—
704C2×C4×C139—82no—
705C2×C4×C139—82no—
706C2×C4×C139C22×D412yes—
707C2×C4×C139C22×D412yes—
708C2×C4×C139C22×D412yes—
709C2×C4×C139C22×D412yes—
710C2×C4×C139C22×D412yes—
711C2×C4×C139C22×D412yes—
712C2×C4×C139C2×#4112yes—
713C2×C4×C139C2×#4112yes—
714C2×C4×C139C2×#4112yes—
715C2×C4×C139C2×#4112yes—
716C2×C4×C139C2×#4112yes—
717C2×C4×C139C2×#4112yes—
718C22×C139—22no—
719C22×C139—22no—
720C22×C139—22no—
721C22×C139—22no—
722C22×C139—22no—
723C22×C139—22no—
724C22×C139—22no—
725C22×C139—22no—
726C22×C139—22no—
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—41no—
746C22×C139—41no—
747C22×C139—41no—
748C22×C139—41no—
749C22×C139—41no—
750C22×C139—41no—
751C22×C139—41no—
752C22×C139—88no—
753C22×C139#53214yes—
754C22×C139C23×D411yescharacteristic
755C22×C139C22×#4111yescharacteristic
756C22×C139C22×#4111yescharacteristic
757C22×C139C22×#4111yescharacteristic
758C22×C139#58511yescharacteristic
759C22×C139#58511yescharacteristic
760C22×C139#58511yescharacteristic
761C4×C139—22no—
762C4×C139—22no—
763C4×C139—22no—
764C4×C139—22no—
765C4×C139—22no—
766C4×C139—22no—
767C4×C139—22no—
768C4×C139—22no—
769C4×C139—22no—
770C4×C139—22no—
771C4×C139—22no—
772C4×C139—22no—
773C4×C139—41no—
774C4×C139—41no—
775C4×C139—41no—
776C4×C139—41no—
777C4×C139—41no—
778C4×C139—41no—
779C4×C139—41no—
780C4×C139—41no—
781C4×C139—41no—
782C4×C139—41no—
783C4×C139—41no—
784C4×C139—41no—
785C4×C139—41no—
786C4×C139—41no—
787C2×C139—24no—
788C2×C139—42no—
789C2×C139—81no—
790C2×C139—81no—
791C2×C139—81no—
792C2×C139C2×#53211yescharacteristic
793C2×C139D4×#4111yescharacteristic
794C2×C139#347511yescharacteristic
795C2×C139#347511yescharacteristic
796C2×C139#349111yescharacteristic
797C2×C139#350011yescharacteristic
798C2×C139#352111yescharacteristic
799#36267C13911yesmaximal, characteristic, direct product factor, Sylow
800C139#3626711yescharacteristic, direct product factor, Sylow
801C2×#552C2×C13911yescharacteristic, complemented
802C2×#551C2×C13911yescharacteristic, complemented
803#2861C2×C13911yescharacteristic, complemented
804#2860C2×C13911yescharacteristic, complemented
805#2854C2×C13911yescharacteristic, complemented
806#2611C2×C13911yescharacteristic, complemented
807#2610C2×C13911yescharacteristic, complemented
808#2604C2×C13911yescharacteristic, complemented
809#2603C2×C13911yescharacteristic, complemented
810#2560C2×C13911yescharacteristic, complemented
811#2560C2×C13911yescharacteristic, complemented
812#2558C2×C13911yescharacteristic, complemented
813#2558C2×C13911yescharacteristic, complemented
814#2556C2×C13911yescharacteristic, complemented
815#2554C2×C13911yescharacteristic, complemented
816#2549C2×C13911yescharacteristic, complemented
817#2539C2×C13911yescharacteristic
818#2519C2×C13911yescharacteristic, complemented
819#2488C2×C13911yescharacteristic, complemented
820#2472C2×C13911yescharacteristic, complemented
821#2461C2×C13911yescharacteristic, complemented
822#2413C2×C13911yescharacteristic, complemented
823#2411C2×C13911yescharacteristic, complemented
824#2364C2×C13911yescharacteristic, complemented
825#2359C2×C13911yescharacteristic, complemented
826#2358C2×C13911yescharacteristic, complemented
827#2342C2×C13911yescharacteristic, complemented
828C4×#124C2×C13911yescharacteristic, complemented
829#2293C2×C13911yescharacteristic, complemented
830C2×#388C2×C13911yescharacteristic, complemented
831C4×#117C2×C13911yescharacteristic, complemented
832#552—28no—
833#551—28no—
834C2×#126C22×C13911yescharacteristic
835C2×#126C22×C13911yescharacteristic
836C2×#126C22×C13911yescharacteristic, complemented
837C2×#126C22×C13911yescharacteristic, complemented
838C2×#125C22×C13911yescharacteristic, complemented
839C2×#125C22×C13911yescharacteristic, complemented
840C2×#125C22×C13911yescharacteristic, complemented
841C2×#124C22×C13911yescharacteristic
842C2×#124C22×C13911yescharacteristic
843C2×#123C22×C13911yescharacteristic
844C2×#123C22×C13911yescharacteristic
845C2×#123C22×C13911yescharacteristic
846C2×#123C22×C13911yescharacteristic
847C2×#123C22×C13911yescharacteristic
848C2×#123C22×C13911yescharacteristic
849C2×C22⋊Q8C22×C13911yescharacteristic
850C2×C22⋊Q8C22×C13911yescharacteristic
851C2×C22⋊Q8C22×C13911yescharacteristic
852C2×C22⋊Q8C22×C13911yescharacteristic, complemented
853C2×#121C22×C13911yescharacteristic
854C2×#120C22×C13911yescharacteristic
855C2×#120C22×C13911yescharacteristic
856C2×C4×Q8C22×C13911yescharacteristic, complemented
857C2×C4×D4C22×C13911yescharacteristic
858C2×C4×D4C22×C13911yescharacteristic
859C2×C4×D4C22×C13911yescharacteristic
860C2×C4×D4C22×C13911yescharacteristic
861C2×#117C22×C13911yescharacteristic
862C2×#117C22×C13911yescharacteristic
863C2×#117C22×C13911yescharacteristic
864C2×#117C22×C13911yescharacteristic
865C2×#117C22×C13911yescharacteristic, complemented
866C22×C4⋊C4C22×C13911yescharacteristic
867C22×C22⋊C4C22×C13911yescharacteristic
868C22×C22⋊C4C22×C13911yescharacteristic
869C22×C22⋊C4C22×C13911yescharacteristic
870C22×C22⋊C4C22×C13911yescharacteristic
871C22×C42C22×C13911yescharacteristic
872#400C22×C13911yescharacteristic, complemented
873#400C22×C13911yescharacteristic, complemented
874#399C22×C13911yescharacteristic
875#399C22×C13911yescharacteristic
876#398C22×C13911yescharacteristic, complemented
877#398C22×C13911yescharacteristic, complemented
878#398C22×C13911yescharacteristic, complemented
879#398C22×C13911yescharacteristic, complemented
880#397C22×C13911yescharacteristic
881#397C22×C13911yescharacteristic, complemented
882#396C22×C13911yescharacteristic
883#396C22×C13911yescharacteristic
884#396C22×C13911yescharacteristic, complemented
885#396C22×C13911yescharacteristic, complemented
886#395C22×C13911yescharacteristic, complemented
887#395C22×C13911yescharacteristic, complemented
888#394C22×C13911yescharacteristic
889#394C22×C13911yescharacteristic
890#394C22×C13911yescharacteristic
891#394C22×C13911yescharacteristic
892#393C22×C13911yescharacteristic
893#393C22×C13911yescharacteristic, complemented
894#392C22×C13911yescharacteristic
895#392C22×C13911yescharacteristic
896#391C22×C13911yescharacteristic, complemented
897#391C22×C13911yescharacteristic, complemented
898#391C22×C13911yescharacteristic, complemented
899#390C22×C13911yescharacteristic
900#390C22×C13911yescharacteristic
901#390C22×C13911yescharacteristic
902#390C22×C13911yescharacteristic
903#390C22×C13911yescharacteristic
904#390C22×C13911yescharacteristic
905#390C22×C13911yescharacteristic
906#390C22×C13911yescharacteristic
907#390C22×C13911yescharacteristic, complemented
908#390C22×C13911yescharacteristic, complemented
909#389C22×C13911yescharacteristic, complemented
910#389C22×C13911yescharacteristic, complemented
911#389C22×C13911yescharacteristic, complemented
912#389C22×C13911yescharacteristic, complemented
913#389C22×C13911yescharacteristic, complemented
914#389C22×C13911yescharacteristic, complemented
915#389C22×C13911yescharacteristic, complemented
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
926#388C22×C13911yescharacteristic
927#388C22×C13911yescharacteristic
928#388C22×C13911yescharacteristic
929#388C22×C13911yescharacteristic
930#388C22×C13911yescharacteristic
931#388C22×C13911yescharacteristic
932#388C22×C13911yescharacteristic
933#388C22×C13911yescharacteristic
934#388C22×C13911yescharacteristic, complemented
935#388C22×C13911yescharacteristic, complemented
936#388C22×C13911yescharacteristic, complemented
937#388C22×C13911yescharacteristic, complemented
938#388C22×C13911yescharacteristic, complemented
939#388C22×C13911yescharacteristic, complemented
940#388C22×C13911yescharacteristic, complemented
941#388C22×C13911yescharacteristic, complemented
942#388C22×C13911yescharacteristic, complemented
943#388C22×C13911yescharacteristic, complemented
944#388C22×C13911yescharacteristic, complemented
945#388C22×C13911yescharacteristic, complemented
946#387C22×C13911yescharacteristic, complemented
947#387C22×C13911yescharacteristic, complemented
948#387C22×C13911yescharacteristic, complemented
949#387C22×C13911yescharacteristic, complemented
950#386C22×C13911yescharacteristic
951#386C22×C13911yescharacteristic
952#386C22×C13911yescharacteristic
953#386C22×C13911yescharacteristic
954#386C22×C13911yescharacteristic
955#386C22×C13911yescharacteristic
956#386C22×C13911yescharacteristic, complemented
957#386C22×C13911yescharacteristic, complemented
958#385C22×C13911yescharacteristic
959#385C22×C13911yescharacteristic
960#385C22×C13911yescharacteristic
961#385C22×C13911yescharacteristic
962#385C22×C13911yescharacteristic
963#385C22×C13911yescharacteristic, complemented
964#382C22×C13911yescharacteristic, complemented
965#381C22×C13911yescharacteristic
966#380C22×C13911yescharacteristic
967#379C22×C13911yescharacteristic
968C4×C4⋊C4C22×C13911yescharacteristic, complemented
969C4×C4⋊C4C22×C13911yescharacteristic, complemented
970C4×C4⋊C4C22×C13911yescharacteristic, complemented
971C4×C4⋊C4C22×C13911yescharacteristic, complemented
972C4×C4⋊C4C22×C13911yescharacteristic, complemented
973C4×C22⋊C4C22×C13911yescharacteristic
974C4×C22⋊C4C22×C13911yescharacteristic
975C4×C22⋊C4C22×C13911yescharacteristic
976C4×C22⋊C4C22×C13911yescharacteristic
977C4×C22⋊C4C22×C13911yescharacteristic
978C4×C22⋊C4C22×C13911yescharacteristic
979C4×C22⋊C4C22×C13911yescharacteristic
980C4×C22⋊C4C22×C13911yescharacteristic, complemented
981C4×C22⋊C4C22×C13911yescharacteristic, complemented
982C4×C22⋊C4C22×C13911yescharacteristic, complemented
983#376C22×C13911yescharacteristic, complemented
984#376C22×C13911yescharacteristic, complemented
985C2×#95C22×C13911yescharacteristic
986C2×#95C22×C13911yescharacteristic
987C43C22×C13911yescharacteristic, complemented
988C43C22×C13911yescharacteristic, complemented
989C25C23×C13911yescharacteristic
990C22×Q8C23×C13911yescharacteristic
991C22×Q8C23×C13911yescharacteristic
992C22×D4C23×C13911yescharacteristic
993C22×D4C23×C13911yescharacteristic
994C22×D4C23×C13911yescharacteristic
995C22×D4C23×C13911yescharacteristic
996C22×D4C23×C13911yescharacteristic
997C22×D4C23×C13911yescharacteristic
998C22×D4C23×C13911yescharacteristic
999C23×C4C23×C13911yescharacteristic
1000C23×C4C23×C13911yescharacteristic
1001C23×C4C23×C13911yescharacteristic
1002C23×C4C23×C13911yescharacteristic
1003C23×C4C23×C13911yescharacteristic
1004C23×C4C23×C13911yescharacteristic
1005C23×C4C23×C13911yescharacteristic
1006C23×C4C23×C13911yescharacteristic
1007C23×C4C23×C13911yescharacteristic
1008C23×C4C23×C13911yescharacteristic
1009#126—24no—
1010#126—24no—
1011#126—24no—
1012#126—24no—
1013#125—24no—
1014#125—24no—
1015#125—24no—
1016#124—24no—
1017#124—24no—
1018#123—24no—
1019#123—24no—
1020#123—24no—
1021#123—24no—
1022#123—24no—
1023#123—24no—
1024C22⋊Q8—24no—
1025C22⋊Q8—24no—
1026C22⋊Q8—24no—
1027C22⋊Q8—24no—
1028#121—24no—
1029#120—24no—
1030#120—24no—
1031C4×Q8—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—24no—
1036#117—24no—
1037#117—24no—
1038#117—24no—
1039#117—24no—
1040#117D4×C13918yescomplemented
1041C2×C4⋊C4—24no—
1042C2×C4⋊C4C23×C13911yescharacteristic
1043C2×C4⋊C4C23×C13911yescharacteristic
1044C2×C4⋊C4C23×C13911yescharacteristic
1045C2×C4⋊C4C23×C13911yescharacteristic
1046C2×C4⋊C4C23×C13911yescharacteristic
1047C2×C4⋊C4C23×C13911yescharacteristic
1048C2×C4⋊C4C23×C13911yescharacteristic
1049C2×C4⋊C4C23×C13911yescharacteristic
1050C2×C4⋊C4C23×C13911yescharacteristic
1051C2×C4⋊C4C23×C13911yescharacteristic
1052C2×C4⋊C4C23×C13911yescharacteristic
1053C2×C4⋊C4C23×C13911yescharacteristic
1054C2×C4⋊C4C23×C13911yescharacteristic
1055C2×C4⋊C4C23×C13911yescharacteristic
1056C2×C4⋊C4C23×C13911yescharacteristic
1057C2×C4⋊C4C23×C13911yescharacteristic
1058C2×C4⋊C4C23×C13911yescharacteristic
1059C2×C4⋊C4C23×C13911yescharacteristic
1060C2×C4⋊C4C23×C13911yescharacteristic
1061C2×C4⋊C4C23×C13911yescharacteristic
1062C2×C4⋊C4C23×C13911yescharacteristic
1063C2×C4⋊C4C23×C13911yescharacteristic
1064C2×C4⋊C4C23×C13911yescharacteristic
1065C2×C4⋊C4C23×C13911yescharacteristic
1066C2×C4⋊C4C23×C13911yescharacteristic
1067C2×C4⋊C4C23×C13911yescharacteristic
1068C2×C4⋊C4C23×C13911yescharacteristic
1069C2×C4⋊C4C23×C13911yescharacteristic
1070C2×C4⋊C4C23×C13911yescharacteristic
1071C2×C4⋊C4C23×C13911yescharacteristic
1072C2×C4⋊C4C23×C13911yescharacteristic
1073C2×C4⋊C4C23×C13911yescharacteristic
1074C2×C4⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4—24no—
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—24no—
1078C2×C22⋊C4—24no—
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×C22⋊C4C23×C13911yescharacteristic
1104C2×C22⋊C4C23×C13911yescharacteristic
1105C2×C22⋊C4C23×C13911yescharacteristic
1106C2×C22⋊C4C23×C13911yescharacteristic
1107C2×C22⋊C4C23×C13911yescharacteristic
1108C2×C22⋊C4C23×C13911yescharacteristic
1109C2×C22⋊C4C23×C13911yescharacteristic
1110C2×C22⋊C4C23×C13911yescharacteristic
1111C2×C22⋊C4C23×C13911yescharacteristic
1112C2×C22⋊C4C23×C13911yescharacteristic
1113C2×C22⋊C4C23×C13911yescharacteristic
1114C2×C22⋊C4C23×C13911yescharacteristic
1115C2×C22⋊C4C23×C13911yescharacteristic
1116C2×C22⋊C4C23×C13911yescharacteristic
1117C2×C22⋊C4C23×C13911yescharacteristic
1118C2×C22⋊C4C23×C13911yescharacteristic
1119C2×C22⋊C4C23×C13911yescharacteristic
1120C2×C22⋊C4C23×C13911yescharacteristic
1121C2×C22⋊C4C23×C13911yescharacteristic
1122C2×C22⋊C4C23×C13911yescharacteristic
1123C2×C22⋊C4C23×C13911yescharacteristic
1124C2×C22⋊C4C23×C13911yescharacteristic
1125C2×C22⋊C4C23×C13911yescharacteristic
1126C2×C22⋊C4C23×C13911yescharacteristic
1127C2×C42—24no—
1128C2×C42C23×C13911yescharacteristic
1129C2×C42C23×C13911yescharacteristic
1130C2×C42C23×C13911yescharacteristic
1131C2×C42C23×C13911yescharacteristic
1132C2×C42C23×C13911yescharacteristic
1133C2×C42C23×C13911yescharacteristic
1134C2×C42C23×C13911yescharacteristic
1135C2×C42C23×C13911yescharacteristic
1136C2×C42C23×C13911yescharacteristic
1137C2×C42C23×C13911yescharacteristic
1138C2×C42C23×C13911yescharacteristic
1139C2×C42C23×C13911yescharacteristic
1140C2×C42C23×C13911yescharacteristic
1141C2×C42C23×C13911yescharacteristic
1142C2×C42C23×C13911yescharacteristic
1143C2×C42C23×C13911yescharacteristic
1144C2×C42C23×C13911yescharacteristic
1145C2×C42C23×C13911yescharacteristic
1146C2×C42C23×C13911yescharacteristic
1147C2×C42C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153#95C23×C13911yescharacteristic
1154#95C23×C13911yescharacteristic
1155#95C23×C13911yescharacteristic
1156#95C23×C13911yescharacteristic
1157#95C23×C13911yescharacteristic
1158#95C23×C13911yescharacteristic
1159#95C23×C13911yescharacteristic
1160#95C23×C13911yescharacteristic
1161#95C23×C13911yescharacteristic
1162#95C23×C13911yescharacteristic
1163#95C23×C13911yescharacteristic
1164#95C23×C13911yescharacteristic
1165#95C23×C13911yescharacteristic
1166#95C23×C13911yescharacteristic
1167#95C23×C13911yescharacteristic
1168#95C23×C13911yescharacteristic
1169#95C23×C13911yescharacteristic
1170#95C23×C13911yescharacteristic
1171#95C23×C13911yescharacteristic
1172#95C23×C13911yescharacteristic
1173#95C23×C13911yescharacteristic
1174#95C23×C13911yescharacteristic
1175#95C23×C13911yescharacteristic
1176#95C23×C13911yescharacteristic
1177#95C23×C13911yescharacteristic
1178#95C23×C13911yescharacteristic
1179#95C23×C13911yescharacteristic
1180#95C23×C13911yescharacteristic
1181#95C23×C13911yescharacteristic
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24C24×C13911yescharacteristic
1190C24C24×C13911yescharacteristic
1191C24C24×C13911yescharacteristic
1192C24C24×C13911yescharacteristic
1193C24C24×C13911yescharacteristic
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4C2×D4×C13914yes—
1250C22×C4#41×C13914yes—
1251C22×C4C24×C13911yescharacteristic
1252C22×C4C24×C13911yescharacteristic
1253C22×C4C24×C13911yescharacteristic
1254C22×C4C24×C13911yescharacteristic
1255C22×C4C24×C13911yescharacteristic
1256C22×C4C24×C13911yescharacteristic
1257C22×C4C24×C13911yescharacteristic
1258C22×C4C24×C13911yescharacteristic
1259C22×C4C24×C13911yescharacteristic
1260C22×C4C24×C13911yescharacteristic
1261C22×C4C24×C13911yescharacteristic
1262C22×C4C24×C13911yescharacteristic
1263C22×C4C24×C13911yescharacteristic
1264C22×C4C24×C13911yescharacteristic
1265C22×C4C24×C13911yescharacteristic
1266C22×C4C24×C13911yescharacteristic
1267C22×C4C24×C13911yescharacteristic
1268C22×C4C24×C13911yescharacteristic
1269C22×C4C24×C13911yescharacteristic
1270C22×C4C24×C13911yescharacteristic
1271C22×C4C24×C13911yescharacteristic
1272C22×C4C24×C13911yescharacteristic
1273C22×C4C24×C13911yescharacteristic
1274C22×C4C24×C13911yescharacteristic
1275C22×C4C24×C13911yescharacteristic
1276C22×C4C24×C13911yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4C2×D4×C13914yes—
1309C4⋊C4C2×D4×C13914yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4C2×D4×C13914yes—
1355C22⋊C4C2×D4×C13914yes—
1356C22⋊C4#41×C13914yes—
1357C22⋊C4#41×C13914yes—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42C2×D4×C13914yes—
1377C42C2×D4×C13914yes—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23C22×D4×C13912yes—
1417C23C2×#41×C13912yes—
1418C23C2×#41×C13912yes—
1419C23C2×#41×C13912yes—
1420C23C25×C13911yescharacteristic
1421Q8—44no—
1422Q8—82no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—44no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430C2×C4—28no—
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—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4C22×D4×C13912yes—
1507C2×C4C22×D4×C13912yes—
1508C2×C4C22×D4×C13912yes—
1509C2×C4C22×D4×C13912yes—
1510C2×C4C22×D4×C13912yes—
1511C2×C4C22×D4×C13912yes—
1512C2×C4C2×#41×C13912yes—
1513C2×C4C2×#41×C13912yes—
1514C2×C4C2×#41×C13912yes—
1515C2×C4C2×#41×C13912yes—
1516C2×C4C2×#41×C13912yes—
1517C2×C4C2×#41×C13912yes—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—88no—
1553C22#532×C13914yes—
1554C22C23×D4×C13911yescharacteristic
1555C22C22×#41×C13911yescharacteristic
1556C22C22×#41×C13911yescharacteristic
1557C22C22×#41×C13911yescharacteristic
1558C22#585×C13911yescharacteristic
1559C22#585×C13911yescharacteristic
1560C22#585×C13911yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C2—24no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×#532×C13911yescharacteristic
1593C2D4×#41×C13911yescharacteristic
1594C2#3475×C13911yescharacteristic
1595C2#3475×C13911yescharacteristic
1596C2#3491×C13911yescharacteristic
1597C2#3500×C13911yescharacteristic
1598C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2539×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#552×C139C2semidirect
2. C2×#551×C139C2semidirect
3. #2861×C139C2semidirect
4. #2860×C139C2semidirect
5. #2854×C139C2semidirect
6. #2611×C139C2semidirect
7. #2610×C139C2semidirect
8. #2604×C139C2semidirect
9. #2603×C139C2semidirect
10. #2560×C139C2semidirect
11. #2560×C139C2semidirect
12. #2558×C139C2semidirect
13. #2558×C139C2semidirect
14. #2556×C139C2semidirect
15. #2554×C139C2semidirect
16. #2549×C139C2semidirect
18. #2519×C139C2semidirect
19. #2488×C139C2semidirect
20. #2472×C139C2semidirect
21. #2461×C139C2semidirect
22. #2413×C139C2semidirect
23. #2411×C139C2semidirect
24. #2364×C139C2semidirect
25. #2359×C139C2semidirect
26. #2358×C139C2semidirect
27. #2342×C139C2semidirect
28. C4×#124×C139C2semidirect
29. #2293×C139C2semidirect
30. C2×#388×C139C2semidirect
31. C4×#117×C139C2semidirect
36. C2×#126×C139C22semidirect
37. C2×#126×C139C22semidirect
38. C2×#125×C139C22semidirect
39. C2×#125×C139C22semidirect
40. C2×#125×C139C22semidirect
52. C2×C22⋊Q8×C139C22semidirect
56. C2×C4×Q8×C139C22semidirect
65. C2×#117×C139C22semidirect
72. #400×C139C22semidirect
73. #400×C139C22semidirect
76. #398×C139C22semidirect
77. #398×C139C22semidirect
78. #398×C139C22semidirect
79. #398×C139C22semidirect
81. #397×C139C22semidirect
84. #396×C139C22semidirect
85. #396×C139C22semidirect
86. #395×C139C22semidirect
87. #395×C139C22semidirect
93. #393×C139C22semidirect
96. #391×C139C22semidirect
97. #391×C139C22semidirect
98. #391×C139C22semidirect
107. #390×C139C22semidirect
108. #390×C139C22semidirect
109. #389×C139C22semidirect
110. #389×C139C22semidirect
111. #389×C139C22semidirect
112. #389×C139C22semidirect
113. #389×C139C22semidirect
114. #389×C139C22semidirect
115. #389×C139C22semidirect
134. #388×C139C22semidirect
135. #388×C139C22semidirect
136. #388×C139C22semidirect
137. #388×C139C22semidirect
138. #388×C139C22semidirect
139. #388×C139C22semidirect
140. #388×C139C22semidirect
141. #388×C139C22semidirect
142. #388×C139C22semidirect
143. #388×C139C22semidirect
144. #388×C139C22semidirect
145. #388×C139C22semidirect
146. #387×C139C22semidirect
147. #387×C139C22semidirect
148. #387×C139C22semidirect
149. #387×C139C22semidirect
156. #386×C139C22semidirect
157. #386×C139C22semidirect
163. #385×C139C22semidirect
164. #382×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
169. C4×C4⋊C4×C139C22semidirect
170. C4×C4⋊C4×C139C22semidirect
171. C4×C4⋊C4×C139C22semidirect
172. C4×C4⋊C4×C139C22semidirect
180. C4×C22⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. #376×C139C22semidirect
184. #376×C139C22semidirect
187. C43×C139C22semidirect
188. C43×C139C22semidirect
240. #117×C139D4semidirect
799. #36267C139direct (N × H)
800. C139#36267direct (N × H)
801. C2×#552C2×C139semidirect
802. C2×#551C2×C139semidirect
803. #2861C2×C139semidirect
804. #2860C2×C139semidirect
805. #2854C2×C139semidirect
806. #2611C2×C139semidirect
807. #2610C2×C139semidirect
808. #2604C2×C139semidirect
809. #2603C2×C139semidirect
810. #2560C2×C139semidirect
811. #2560C2×C139semidirect
812. #2558C2×C139semidirect
813. #2558C2×C139semidirect
814. #2556C2×C139semidirect
815. #2554C2×C139semidirect
816. #2549C2×C139semidirect
818. #2519C2×C139semidirect
819. #2488C2×C139semidirect
820. #2472C2×C139semidirect
821. #2461C2×C139semidirect
822. #2413C2×C139semidirect
823. #2411C2×C139semidirect
824. #2364C2×C139semidirect
825. #2359C2×C139semidirect
826. #2358C2×C139semidirect
827. #2342C2×C139semidirect
828. C4×#124C2×C139semidirect
829. #2293C2×C139semidirect
830. C2×#388C2×C139semidirect
831. C4×#117C2×C139semidirect
836. C2×#126C22×C139semidirect
837. C2×#126C22×C139semidirect
838. C2×#125C22×C139semidirect
839. C2×#125C22×C139semidirect
840. C2×#125C22×C139semidirect
852. C2×C22⋊Q8C22×C139semidirect
856. C2×C4×Q8C22×C139semidirect
865. C2×#117C22×C139semidirect
872. #400C22×C139semidirect
873. #400C22×C139semidirect
876. #398C22×C139semidirect
877. #398C22×C139semidirect
878. #398C22×C139semidirect
879. #398C22×C139semidirect
881. #397C22×C139semidirect
884. #396C22×C139semidirect
885. #396C22×C139semidirect
886. #395C22×C139semidirect
887. #395C22×C139semidirect
893. #393C22×C139semidirect
896. #391C22×C139semidirect
897. #391C22×C139semidirect
898. #391C22×C139semidirect
907. #390C22×C139semidirect
908. #390C22×C139semidirect
909. #389C22×C139semidirect
910. #389C22×C139semidirect
911. #389C22×C139semidirect
912. #389C22×C139semidirect
913. #389C22×C139semidirect
914. #389C22×C139semidirect
915. #389C22×C139semidirect
934. #388C22×C139semidirect
935. #388C22×C139semidirect
936. #388C22×C139semidirect
937. #388C22×C139semidirect
938. #388C22×C139semidirect
939. #388C22×C139semidirect
940. #388C22×C139semidirect
941. #388C22×C139semidirect
942. #388C22×C139semidirect
943. #388C22×C139semidirect
944. #388C22×C139semidirect
945. #388C22×C139semidirect
946. #387C22×C139semidirect
947. #387C22×C139semidirect
948. #387C22×C139semidirect
949. #387C22×C139semidirect
956. #386C22×C139semidirect
957. #386C22×C139semidirect
963. #385C22×C139semidirect
964. #382C22×C139semidirect
968. C4×C4⋊C4C22×C139semidirect
969. C4×C4⋊C4C22×C139semidirect
970. C4×C4⋊C4C22×C139semidirect
971. C4×C4⋊C4C22×C139semidirect
972. C4×C4⋊C4C22×C139semidirect
980. C4×C22⋊C4C22×C139semidirect
981. C4×C22⋊C4C22×C139semidirect
982. C4×C22⋊C4C22×C139semidirect
983. #376C22×C139semidirect
984. #376C22×C139semidirect
987. C43C22×C139semidirect
988. C43C22×C139semidirect
1040. #117D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#552×C1392
C2×#551×C1392
#2861×C1392
#2860×C1392
#2854×C1392
#2611×C1392
#2610×C1392
#2604×C1392
#2603×C1392
#2560×C1392
#2558×C1392
#2556×C1392
#2554×C1392
#2549×C1392
#2539×C1392
#2519×C1392
#2488×C1392
#2472×C1392
#2461×C1392
#2413×C1392
#2411×C1392
#2364×C1392
#2359×C1392
#2358×C1392
#2342×C1392
C4×#124×C1392
#2293×C1392
C2×#388×C1392
C4×#117×C1392
#36267139