Finite Group Databasebeta

← C139×#36224 #48030820

Subgroups — C139×#36224 #48030820

Order 35584.

2534 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#551×C139C211yesmaximal, characteristic, complemented
2C2×C4×#41×C139C211yesmaximal, characteristic, complemented
3#2855×C139C211yesmaximal, characteristic, complemented
4#2853×C139C211yesmaximal, characteristic, complemented
5#2852×C139C211yesmaximal, characteristic, complemented
6#2604×C139C211yesmaximal, characteristic, complemented
7#2602×C139C211yesmaximal, characteristic, complemented
8#2600×C139C211yesmaximal, characteristic, complemented
9#2599×C139C211yesmaximal, characteristic, complemented
10#2564×C139C211yesmaximal, characteristic, complemented
11#2534×C139C211yesmaximal, characteristic, complemented
12#2479×C139C211yesmaximal, characteristic, complemented
13#2477×C139C211yesmaximal, characteristic, complemented
14#2474×C139C211yesmaximal, characteristic, complemented
15#2470×C139C211yesmaximal, characteristic, complemented
16#2469×C139C211yesmaximal, characteristic, complemented
17#2465×C139C211yesmaximal, characteristic, complemented
18#2459×C139C211yesmaximal, characteristic, complemented
19#2455×C139C211yesmaximal, characteristic, complemented
20#2419×C139C211yesmaximal, characteristic, complemented
21#2418×C139C211yesmaximal, characteristic, complemented
22#2406×C139C211yesmaximal, characteristic, complemented
23#2404×C139C211yesmaximal, characteristic
24#2359×C139C211yesmaximal, characteristic, complemented
25#2358×C139C211yesmaximal, characteristic, complemented
26#2353×C139C211yesmaximal, characteristic, complemented
27#2344×C139C211yesmaximal, characteristic, complemented
28#2342×C139C211yesmaximal, characteristic, complemented
29C4×#123×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic, complemented
31C2×#388×C139C211yesmaximal, characteristic, complemented
32C22×#41×C139C2211yescharacteristic
33#551×C139—28no—
34C2×#126×C139C2211yescharacteristic
35C2×#126×C139C2211yescharacteristic
36C2×#124×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×#123×C139C2211yescharacteristic
40C2×#123×C139C2211yescharacteristic
41C2×#123×C139C2211yescharacteristic
42C2×C22⋊Q8×C139C2211yescharacteristic
43C2×C22⋊Q8×C139C2211yescharacteristic
44C2×#120×C139C2211yescharacteristic
45C2×#120×C139C2211yescharacteristic
46C4×#41×C139—28no—
47C2×C4×Q8×C139C2211yescharacteristic, complemented
48C2×C4×Q8×C139C2211yescharacteristic, complemented
49C2×C4×D4×C139C2211yescharacteristic
50C2×C4×D4×C139C2211yescharacteristic
51C2×C4×D4×C139C2211yescharacteristic
52C2×C4×D4×C139C2211yescharacteristic
53C2×C4×D4×C139C2211yescharacteristic
54C2×C4×D4×C139C2211yescharacteristic
55C2×C4×D4×C139C2211yescharacteristic, complemented
56C2×C4×D4×C139C2211yescharacteristic, complemented
57C2×#117×C139C2211yescharacteristic
58C2×#117×C139C2211yescharacteristic
59C2×#117×C139C2211yescharacteristic
60C2×#117×C139C2211yescharacteristic, complemented
61C2×#117×C139C2211yescharacteristic, complemented
62C22×C4⋊C4×C139C2211yescharacteristic
63C22×C22⋊C4×C139C2211yescharacteristic
64C22×C22⋊C4×C139C2211yescharacteristic
65C22×C22⋊C4×C139C2211yescharacteristic
66C22×C22⋊C4×C139C2211yescharacteristic
67C22×C42×C139C2211yescharacteristic
68C22×C42×C139C2211yescharacteristic, complemented
69C22×C42×C139C2211yescharacteristic, complemented
70#400×C139C2211yescharacteristic, complemented
71#400×C139C2211yescharacteristic, complemented
72#399×C139C2211yescharacteristic
73#399×C139C2211yescharacteristic, complemented
74#398×C139C2211yescharacteristic, complemented
75#397×C139C2211yescharacteristic
76#397×C139C2211yescharacteristic, complemented
77#397×C139C2211yescharacteristic, complemented
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic
80#395×C139C2211yescharacteristic, complemented
81#395×C139C2211yescharacteristic, complemented
82#395×C139C2211yescharacteristic, complemented
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic, complemented
88#394×C139C2211yescharacteristic, complemented
89#393×C139C2211yescharacteristic
90#393×C139C2211yescharacteristic
91#393×C139C2211yescharacteristic, complemented
92#392×C139C2211yescharacteristic
93#392×C139C2211yescharacteristic
94#391×C139C2211yescharacteristic, complemented
95#391×C139C2211yescharacteristic, complemented
96#390×C139C2211yescharacteristic
97#389×C139C2211yescharacteristic, complemented
98#389×C139C2211yescharacteristic, complemented
99#389×C139C2211yescharacteristic, complemented
100#389×C139C2211yescharacteristic, complemented
101#389×C139C2211yescharacteristic, complemented
102#388×C139C2211yescharacteristic
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic
105#388×C139C2211yescharacteristic
106#388×C139C2211yescharacteristic
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
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#387×C139C2211yescharacteristic, complemented
134#387×C139C2211yescharacteristic, complemented
135#387×C139C2211yescharacteristic, complemented
136#387×C139C2211yescharacteristic, complemented
137#387×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#386×C139C2211yescharacteristic
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#386×C139C2211yescharacteristic
150#386×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic, complemented
159#385×C139C2211yescharacteristic, complemented
160#385×C139C2211yescharacteristic, complemented
161#385×C139C2211yescharacteristic, complemented
162#385×C139C2211yescharacteristic, complemented
163#385×C139C2211yescharacteristic, complemented
164#385×C139C2211yescharacteristic, complemented
165#385×C139C2211yescharacteristic, complemented
166#383×C139C2211yescharacteristic, complemented
167#381×C139C2211yescharacteristic
168#381×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#381×C139C2211yescharacteristic, complemented
171#381×C139C2211yescharacteristic, complemented
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#379×C139C2211yescharacteristic
176C4×C4⋊C4×C139C2211yescharacteristic, complemented
177C4×C4⋊C4×C139C2211yescharacteristic, complemented
178C4×C4⋊C4×C139C2211yescharacteristic, complemented
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic, complemented
185C4×C22⋊C4×C139C2211yescharacteristic, complemented
186#376×C139C2211yescharacteristic, complemented
187C2×#95×C139C2211yescharacteristic
188C2×#95×C139C2211yescharacteristic
189C25×C139C2311yescharacteristic
190C2×#41×C139—24no—
191C2×#41×C139—24no—
192C2×#41×C139—24no—
193C22×Q8×C139C2311yescharacteristic
194C22×Q8×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×C139C2311yescharacteristic
201C22×D4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211C23×C4×C139C2311yescharacteristic
212C23×C4×C139C2311yescharacteristic
213C23×C4×C139C2311yescharacteristic
214C23×C4×C139C2311yescharacteristic
215C23×C4×C139C2311yescharacteristic
216#126×C139—24no—
217#126×C139—24no—
218#124×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—
226#120×C139—24no—
227#120×C139—24no—
228C4×Q8×C139—24no—
229C4×Q8×C139—24no—
230C4×D4×C139—24no—
231C4×D4×C139—24no—
232C4×D4×C139—24no—
233C4×D4×C139—24no—
234C4×D4×C139—24no—
235C4×D4×C139—24no—
236C4×D4×C139—24no—
237C4×D4×C139D418yescomplemented
238#117×C139—24no—
239#117×C139—24no—
240#117×C139—24no—
241#117×C139—24no—
242#117×C139—24no—
243C2×C4⋊C4×C139—24no—
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×C22⋊C4×C139—24no—
274C2×C22⋊C4×C139—24no—
275C2×C22⋊C4×C139—24no—
276C2×C22⋊C4×C139—24no—
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×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×C42×C139—24no—
322C2×C42×C139—24no—
323C2×C42×C139—24no—
324C2×C42×C139C2311yescharacteristic
325C2×C42×C139C2311yescharacteristic
326C2×C42×C139C2311yescharacteristic
327C2×C42×C139C2311yescharacteristic
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
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
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
394#41×C139—232no—
395C2×Q8×C139—22no—
396C2×Q8×C139—22no—
397C2×Q8×C139—22no—
398C2×Q8×C139—22no—
399C2×Q8×C139—41no—
400C2×Q8×C139—41no—
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—22no—
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×C139C2×D414yes—
421C2×D4×C139#4114yes—
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—22no—
438C22×C4×C139—22no—
439C22×C4×C139—22no—
440C22×C4×C139—22no—
441C22×C4×C139—22no—
442C22×C4×C139—22no—
443C22×C4×C139—22no—
444C22×C4×C139—22no—
445C22×C4×C139—22no—
446C22×C4×C139—41no—
447C22×C4×C139—41no—
448C22×C4×C139—41no—
449C22×C4×C139—41no—
450C22×C4×C139—41no—
451C22×C4×C139—41no—
452C22×C4×C139—41no—
453C22×C4×C139—41no—
454C22×C4×C139—41no—
455C22×C4×C139—41no—
456C22×C4×C139—41no—
457C22×C4×C139—41no—
458C22×C4×C139—41no—
459C22×C4×C139—41no—
460C22×C4×C139—41no—
461C22×C4×C139C2×D414yes—
462C22×C4×C139C2×D414yes—
463C22×C4×C139#4114yes—
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
477C22×C4×C139C2411yescharacteristic
478C22×C4×C139C2411yescharacteristic
479C22×C4×C139C2411yescharacteristic
480C22×C4×C139C2411yescharacteristic
481C22×C4×C139C2411yescharacteristic
482C22×C4×C139C2411yescharacteristic
483C22×C4×C139C2411yescharacteristic
484C22×C4×C139C2411yescharacteristic
485C22×C4×C139C2411yescharacteristic
486C22×C4×C139C2411yescharacteristic
487C22×C4×C139C2411yescharacteristic
488C22×C4×C139C2411yescharacteristic
489C22×C4×C139C2411yescharacteristic
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—22no—
504C4⋊C4×C139—22no—
505C4⋊C4×C139—22no—
506C4⋊C4×C139—22no—
507C4⋊C4×C139—22no—
508C4⋊C4×C139—22no—
509C4⋊C4×C139—22no—
510C4⋊C4×C139—22no—
511C4⋊C4×C139—41no—
512C4⋊C4×C139—41no—
513C4⋊C4×C139—41no—
514C4⋊C4×C139—41no—
515C4⋊C4×C139—41no—
516C4⋊C4×C139—41no—
517C4⋊C4×C139—41no—
518C4⋊C4×C139C2×D414yes—
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—22no—
547C22⋊C4×C139—22no—
548C22⋊C4×C139—22no—
549C22⋊C4×C139—22no—
550C22⋊C4×C139—22no—
551C22⋊C4×C139—41no—
552C22⋊C4×C139—41no—
553C22⋊C4×C139—41no—
554C22⋊C4×C139—41no—
555C22⋊C4×C139—41no—
556C22⋊C4×C139—41no—
557C22⋊C4×C139—41no—
558C22⋊C4×C139—41no—
559C22⋊C4×C139—41no—
560C22⋊C4×C139C2×D414yes—
561C22⋊C4×C139C2×D414yes—
562C22⋊C4×C139#4114yescomplemented
563C42×C139—22no—
564C42×C139—22no—
565C42×C139—22no—
566C42×C139—22no—
567C42×C139—22no—
568C42×C139—22no—
569C42×C139—22no—
570C42×C139—22no—
571C42×C139—22no—
572C42×C139—22no—
573C42×C139—22no—
574C42×C139—22no—
575C42×C139—41no—
576C42×C139—41no—
577C42×C139—41no—
578C42×C139C2×D414yes—
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—44no—
609C23×C139—44no—
610C23×C139—44no—
611C23×C139—44no—
612C23×C139—82no—
613C23×C139—82no—
614C23×C139—82no—
615C23×C139C22×D412yes—
616C23×C139C22×D412yes—
617C23×C139C2×#4112yes—
618C23×C139C2×#4112yes—
619C23×C139C2×#4112yes—
620C23×C139C2×#4112yes—
621C23×C139C2511yescharacteristic
622Q8×C139—28no—
623Q8×C139—82no—
624D4×C139—28no—
625D4×C139—28no—
626D4×C139—28no—
627D4×C139—44no—
628D4×C139—44no—
629D4×C139—82no—
630D4×C139—82no—
631C2×C4×C139—28no—
632C2×C4×C139—28no—
633C2×C4×C139—28no—
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—21no—
698C2×C4×C139—21no—
699C2×C4×C139—21no—
700C2×C4×C139—21no—
701C2×C4×C139—21no—
702C2×C4×C139—44no—
703C2×C4×C139—44no—
704C2×C4×C139—44no—
705C2×C4×C139—44no—
706C2×C4×C139—44no—
707C2×C4×C139—44no—
708C2×C4×C139—44no—
709C2×C4×C139—44no—
710C2×C4×C139—44no—
711C2×C4×C139—82no—
712C2×C4×C139—82no—
713C2×C4×C139C22×D412yes—
714C2×C4×C139C22×D412yes—
715C2×C4×C139C22×D412yes—
716C2×C4×C139C22×D412yes—
717C2×C4×C139C22×D412yes—
718C2×C4×C139C2×#4112yes—
719C2×C4×C139C2×#4112yes—
720C2×C4×C139C2×#4112yes—
721C2×C4×C139C2×#4112yes—
722C2×C4×C139C2×#4112yes—
723C22×C139—22no—
724C22×C139—22no—
725C22×C139—22no—
726C22×C139—22no—
727C22×C139—22no—
728C22×C139—22no—
729C22×C139—22no—
730C22×C139—22no—
731C22×C139—22no—
732C22×C139—22no—
733C22×C139—22no—
734C22×C139—22no—
735C22×C139—22no—
736C22×C139—22no—
737C22×C139—22no—
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—41no—
753C22×C139—41no—
754C22×C139—41no—
755C22×C139—41no—
756C22×C139—41no—
757C22×C139—88no—
758C22×C139#52514yes—
759C22×C139C23×D411yescharacteristic
760C22×C139C22×#4111yescharacteristic
761C22×C139C22×#4111yescharacteristic
762C22×C139C22×#4111yescharacteristic
763C22×C139#58511yescharacteristic
764C22×C139#58511yescharacteristic
765C22×C139#58511yescharacteristic
766C4×C139—22no—
767C4×C139—22no—
768C4×C139—22no—
769C4×C139—22no—
770C4×C139—22no—
771C4×C139—22no—
772C4×C139—22no—
773C4×C139—22no—
774C4×C139—22no—
775C4×C139—22no—
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—
787C4×C139—41no—
788C4×C139—41no—
789C4×C139—41no—
790C4×C139—41no—
791C4×C139—41no—
792C2×C139—24no—
793C2×C139—42no—
794C2×C139—42no—
795C2×C139—42no—
796C2×C139—81no—
797C2×C139C2×#52511yescharacteristic
798C2×C139D4×#4111yescharacteristic
799C2×C139#347511yescharacteristic
800C2×C139#347511yescharacteristic
801C2×C139#348511yescharacteristic
802C2×C139#351011yescharacteristic
803C2×C139#352111yescharacteristic
804#36224C13911yesmaximal, characteristic, direct product factor, Sylow
805C139#3622411yescharacteristic, direct product factor, Sylow
806C2×#551C2×C13911yescharacteristic, complemented
807C2×C4×#41C2×C13911yescharacteristic, complemented
808#2855C2×C13911yescharacteristic, complemented
809#2853C2×C13911yescharacteristic, complemented
810#2852C2×C13911yescharacteristic, complemented
811#2604C2×C13911yescharacteristic, complemented
812#2602C2×C13911yescharacteristic, complemented
813#2600C2×C13911yescharacteristic, complemented
814#2599C2×C13911yescharacteristic, complemented
815#2564C2×C13911yescharacteristic, complemented
816#2534C2×C13911yescharacteristic, complemented
817#2479C2×C13911yescharacteristic, complemented
818#2477C2×C13911yescharacteristic, complemented
819#2474C2×C13911yescharacteristic, complemented
820#2470C2×C13911yescharacteristic, complemented
821#2469C2×C13911yescharacteristic, complemented
822#2465C2×C13911yescharacteristic, complemented
823#2459C2×C13911yescharacteristic, complemented
824#2455C2×C13911yescharacteristic, complemented
825#2419C2×C13911yescharacteristic, complemented
826#2418C2×C13911yescharacteristic, complemented
827#2406C2×C13911yescharacteristic, complemented
828#2404C2×C13911yescharacteristic
829#2359C2×C13911yescharacteristic, complemented
830#2358C2×C13911yescharacteristic, complemented
831#2353C2×C13911yescharacteristic, complemented
832#2344C2×C13911yescharacteristic, complemented
833#2342C2×C13911yescharacteristic, complemented
834C4×#123C2×C13911yescharacteristic, complemented
835#2290C2×C13911yescharacteristic, complemented
836C2×#388C2×C13911yescharacteristic, complemented
837C22×#41C22×C13911yescharacteristic
838#551—28no—
839C2×#126C22×C13911yescharacteristic
840C2×#126C22×C13911yescharacteristic
841C2×#124C22×C13911yescharacteristic
842C2×#123C22×C13911yescharacteristic
843C2×#123C22×C13911yescharacteristic
844C2×#123C22×C13911yescharacteristic
845C2×#123C22×C13911yescharacteristic
846C2×#123C22×C13911yescharacteristic
847C2×C22⋊Q8C22×C13911yescharacteristic
848C2×C22⋊Q8C22×C13911yescharacteristic
849C2×#120C22×C13911yescharacteristic
850C2×#120C22×C13911yescharacteristic
851C4×#41—28no—
852C2×C4×Q8C22×C13911yescharacteristic, complemented
853C2×C4×Q8C22×C13911yescharacteristic, complemented
854C2×C4×D4C22×C13911yescharacteristic
855C2×C4×D4C22×C13911yescharacteristic
856C2×C4×D4C22×C13911yescharacteristic
857C2×C4×D4C22×C13911yescharacteristic
858C2×C4×D4C22×C13911yescharacteristic
859C2×C4×D4C22×C13911yescharacteristic
860C2×C4×D4C22×C13911yescharacteristic, complemented
861C2×C4×D4C22×C13911yescharacteristic, complemented
862C2×#117C22×C13911yescharacteristic
863C2×#117C22×C13911yescharacteristic
864C2×#117C22×C13911yescharacteristic
865C2×#117C22×C13911yescharacteristic, complemented
866C2×#117C22×C13911yescharacteristic, complemented
867C22×C4⋊C4C22×C13911yescharacteristic
868C22×C22⋊C4C22×C13911yescharacteristic
869C22×C22⋊C4C22×C13911yescharacteristic
870C22×C22⋊C4C22×C13911yescharacteristic
871C22×C22⋊C4C22×C13911yescharacteristic
872C22×C42C22×C13911yescharacteristic
873C22×C42C22×C13911yescharacteristic, complemented
874C22×C42C22×C13911yescharacteristic, complemented
875#400C22×C13911yescharacteristic, complemented
876#400C22×C13911yescharacteristic, complemented
877#399C22×C13911yescharacteristic
878#399C22×C13911yescharacteristic, complemented
879#398C22×C13911yescharacteristic, complemented
880#397C22×C13911yescharacteristic
881#397C22×C13911yescharacteristic, complemented
882#397C22×C13911yescharacteristic, complemented
883#396C22×C13911yescharacteristic
884#396C22×C13911yescharacteristic
885#395C22×C13911yescharacteristic, complemented
886#395C22×C13911yescharacteristic, complemented
887#395C22×C13911yescharacteristic, complemented
888#394C22×C13911yescharacteristic
889#394C22×C13911yescharacteristic
890#394C22×C13911yescharacteristic
891#394C22×C13911yescharacteristic
892#394C22×C13911yescharacteristic, complemented
893#394C22×C13911yescharacteristic, complemented
894#393C22×C13911yescharacteristic
895#393C22×C13911yescharacteristic
896#393C22×C13911yescharacteristic, complemented
897#392C22×C13911yescharacteristic
898#392C22×C13911yescharacteristic
899#391C22×C13911yescharacteristic, complemented
900#391C22×C13911yescharacteristic, complemented
901#390C22×C13911yescharacteristic
902#389C22×C13911yescharacteristic, complemented
903#389C22×C13911yescharacteristic, complemented
904#389C22×C13911yescharacteristic, complemented
905#389C22×C13911yescharacteristic, complemented
906#389C22×C13911yescharacteristic, complemented
907#388C22×C13911yescharacteristic
908#388C22×C13911yescharacteristic
909#388C22×C13911yescharacteristic
910#388C22×C13911yescharacteristic
911#388C22×C13911yescharacteristic
912#388C22×C13911yescharacteristic
913#388C22×C13911yescharacteristic
914#388C22×C13911yescharacteristic
915#388C22×C13911yescharacteristic
916#388C22×C13911yescharacteristic
917#388C22×C13911yescharacteristic
918#388C22×C13911yescharacteristic
919#388C22×C13911yescharacteristic
920#388C22×C13911yescharacteristic
921#388C22×C13911yescharacteristic
922#388C22×C13911yescharacteristic
923#388C22×C13911yescharacteristic
924#388C22×C13911yescharacteristic
925#388C22×C13911yescharacteristic, complemented
926#388C22×C13911yescharacteristic, complemented
927#388C22×C13911yescharacteristic, complemented
928#388C22×C13911yescharacteristic, complemented
929#387C22×C13911yescharacteristic, complemented
930#387C22×C13911yescharacteristic, complemented
931#387C22×C13911yescharacteristic, complemented
932#387C22×C13911yescharacteristic, complemented
933#387C22×C13911yescharacteristic, complemented
934#387C22×C13911yescharacteristic, complemented
935#387C22×C13911yescharacteristic, complemented
936#387C22×C13911yescharacteristic, complemented
937#387C22×C13911yescharacteristic, complemented
938#387C22×C13911yescharacteristic, complemented
939#387C22×C13911yescharacteristic, complemented
940#387C22×C13911yescharacteristic, complemented
941#387C22×C13911yescharacteristic, complemented
942#387C22×C13911yescharacteristic, complemented
943#387C22×C13911yescharacteristic, complemented
944#387C22×C13911yescharacteristic, complemented
945#386C22×C13911yescharacteristic
946#386C22×C13911yescharacteristic
947#386C22×C13911yescharacteristic
948#386C22×C13911yescharacteristic
949#386C22×C13911yescharacteristic
950#386C22×C13911yescharacteristic
951#386C22×C13911yescharacteristic
952#386C22×C13911yescharacteristic
953#386C22×C13911yescharacteristic
954#386C22×C13911yescharacteristic
955#386C22×C13911yescharacteristic
956#386C22×C13911yescharacteristic
957#386C22×C13911yescharacteristic
958#385C22×C13911yescharacteristic
959#385C22×C13911yescharacteristic
960#385C22×C13911yescharacteristic
961#385C22×C13911yescharacteristic
962#385C22×C13911yescharacteristic
963#385C22×C13911yescharacteristic, complemented
964#385C22×C13911yescharacteristic, complemented
965#385C22×C13911yescharacteristic, complemented
966#385C22×C13911yescharacteristic, complemented
967#385C22×C13911yescharacteristic, complemented
968#385C22×C13911yescharacteristic, complemented
969#385C22×C13911yescharacteristic, complemented
970#385C22×C13911yescharacteristic, complemented
971#383C22×C13911yescharacteristic, complemented
972#381C22×C13911yescharacteristic
973#381C22×C13911yescharacteristic
974#381C22×C13911yescharacteristic
975#381C22×C13911yescharacteristic, complemented
976#381C22×C13911yescharacteristic, complemented
977#380C22×C13911yescharacteristic
978#380C22×C13911yescharacteristic
979#380C22×C13911yescharacteristic
980#379C22×C13911yescharacteristic
981C4×C4⋊C4C22×C13911yescharacteristic, complemented
982C4×C4⋊C4C22×C13911yescharacteristic, complemented
983C4×C4⋊C4C22×C13911yescharacteristic, complemented
984C4×C22⋊C4C22×C13911yescharacteristic
985C4×C22⋊C4C22×C13911yescharacteristic
986C4×C22⋊C4C22×C13911yescharacteristic
987C4×C22⋊C4C22×C13911yescharacteristic
988C4×C22⋊C4C22×C13911yescharacteristic
989C4×C22⋊C4C22×C13911yescharacteristic, complemented
990C4×C22⋊C4C22×C13911yescharacteristic, complemented
991#376C22×C13911yescharacteristic, complemented
992C2×#95C22×C13911yescharacteristic
993C2×#95C22×C13911yescharacteristic
994C25C23×C13911yescharacteristic
995C2×#41—24no—
996C2×#41—24no—
997C2×#41—24no—
998C22×Q8C23×C13911yescharacteristic
999C22×Q8C23×C13911yescharacteristic
1000C22×D4C23×C13911yescharacteristic
1001C22×D4C23×C13911yescharacteristic
1002C22×D4C23×C13911yescharacteristic
1003C22×D4C23×C13911yescharacteristic
1004C22×D4C23×C13911yescharacteristic
1005C22×D4C23×C13911yescharacteristic
1006C22×D4C23×C13911yescharacteristic
1007C23×C4C23×C13911yescharacteristic
1008C23×C4C23×C13911yescharacteristic
1009C23×C4C23×C13911yescharacteristic
1010C23×C4C23×C13911yescharacteristic
1011C23×C4C23×C13911yescharacteristic
1012C23×C4C23×C13911yescharacteristic
1013C23×C4C23×C13911yescharacteristic
1014C23×C4C23×C13911yescharacteristic
1015C23×C4C23×C13911yescharacteristic
1016C23×C4C23×C13911yescharacteristic
1017C23×C4C23×C13911yescharacteristic
1018C23×C4C23×C13911yescharacteristic
1019C23×C4C23×C13911yescharacteristic
1020C23×C4C23×C13911yescharacteristic
1021#126—24no—
1022#126—24no—
1023#124—24no—
1024#123—24no—
1025#123—24no—
1026#123—24no—
1027#123—24no—
1028#123—24no—
1029C22⋊Q8—24no—
1030C22⋊Q8—24no—
1031#120—24no—
1032#120—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4D4×C13918yescomplemented
1043#117—24no—
1044#117—24no—
1045#117—24no—
1046#117—24no—
1047#117—24no—
1048C2×C4⋊C4—24no—
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×C4⋊C4C23×C13911yescharacteristic
1076C2×C4⋊C4C23×C13911yescharacteristic
1077C2×C4⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4—24no—
1079C2×C22⋊C4—24no—
1080C2×C22⋊C4—24no—
1081C2×C22⋊C4—24no—
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×C42—24no—
1127C2×C42—24no—
1128C2×C42—24no—
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
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153#95C23×C13911yescharacteristic
1154#95C23×C13911yescharacteristic
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
1182#95C23×C13911yescharacteristic
1183#95C23×C13911yescharacteristic
1184#95C23×C13911yescharacteristic
1185#95C23×C13911yescharacteristic
1186#95C23×C13911yescharacteristic
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24C24×C13911yescharacteristic
1195C24C24×C13911yescharacteristic
1196C24C24×C13911yescharacteristic
1197C24C24×C13911yescharacteristic
1198C24C24×C13911yescharacteristic
1199#41—232no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4C2×D4×C13914yes—
1226C2×D4#41×C13914yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4C2×D4×C13914yes—
1267C22×C4C2×D4×C13914yes—
1268C22×C4#41×C13914yes—
1269C22×C4C24×C13911yescharacteristic
1270C22×C4C24×C13911yescharacteristic
1271C22×C4C24×C13911yescharacteristic
1272C22×C4C24×C13911yescharacteristic
1273C22×C4C24×C13911yescharacteristic
1274C22×C4C24×C13911yescharacteristic
1275C22×C4C24×C13911yescharacteristic
1276C22×C4C24×C13911yescharacteristic
1277C22×C4C24×C13911yescharacteristic
1278C22×C4C24×C13911yescharacteristic
1279C22×C4C24×C13911yescharacteristic
1280C22×C4C24×C13911yescharacteristic
1281C22×C4C24×C13911yescharacteristic
1282C22×C4C24×C13911yescharacteristic
1283C22×C4C24×C13911yescharacteristic
1284C22×C4C24×C13911yescharacteristic
1285C22×C4C24×C13911yescharacteristic
1286C22×C4C24×C13911yescharacteristic
1287C22×C4C24×C13911yescharacteristic
1288C22×C4C24×C13911yescharacteristic
1289C22×C4C24×C13911yescharacteristic
1290C22×C4C24×C13911yescharacteristic
1291C22×C4C24×C13911yescharacteristic
1292C22×C4C24×C13911yescharacteristic
1293C22×C4C24×C13911yescharacteristic
1294C22×C4C24×C13911yescharacteristic
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—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4C2×D4×C13914yes—
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—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4C2×D4×C13914yes—
1366C22⋊C4C2×D4×C13914yes—
1367C22⋊C4#41×C13914yescomplemented
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42C2×D4×C13914yes—
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—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—82no—
1418C23—82no—
1419C23—82no—
1420C23C22×D4×C13912yes—
1421C23C22×D4×C13912yes—
1422C23C2×#41×C13912yes—
1423C23C2×#41×C13912yes—
1424C23C2×#41×C13912yes—
1425C23C2×#41×C13912yes—
1426C23C25×C13911yescharacteristic
1427Q8—28no—
1428Q8—82no—
1429D4—28no—
1430D4—28no—
1431D4—28no—
1432D4—44no—
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436C2×C4—28no—
1437C2×C4—28no—
1438C2×C4—28no—
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—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4C22×D4×C13912yes—
1519C2×C4C22×D4×C13912yes—
1520C2×C4C22×D4×C13912yes—
1521C2×C4C22×D4×C13912yes—
1522C2×C4C22×D4×C13912yes—
1523C2×C4C2×#41×C13912yes—
1524C2×C4C2×#41×C13912yes—
1525C2×C4C2×#41×C13912yes—
1526C2×C4C2×#41×C13912yes—
1527C2×C4C2×#41×C13912yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—88no—
1563C22#525×C13914yes—
1564C22C23×D4×C13911yescharacteristic
1565C22C22×#41×C13911yescharacteristic
1566C22C22×#41×C13911yescharacteristic
1567C22C22×#41×C13911yescharacteristic
1568C22#585×C13911yescharacteristic
1569C22#585×C13911yescharacteristic
1570C22#585×C13911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—42no—
1601C2—81no—
1602C2C2×#525×C13911yescharacteristic
1603C2D4×#41×C13911yescharacteristic
1604C2#3475×C13911yescharacteristic
1605C2#3475×C13911yescharacteristic
1606C2#3485×C13911yescharacteristic
1607C2#3510×C13911yescharacteristic
1608C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2404×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#551×C139C2semidirect
2. C2×C4×#41×C139C2semidirect
3. #2855×C139C2semidirect
4. #2853×C139C2semidirect
5. #2852×C139C2semidirect
6. #2604×C139C2semidirect
7. #2602×C139C2semidirect
8. #2600×C139C2semidirect
9. #2599×C139C2semidirect
10. #2564×C139C2semidirect
11. #2534×C139C2semidirect
12. #2479×C139C2semidirect
13. #2477×C139C2semidirect
14. #2474×C139C2semidirect
15. #2470×C139C2semidirect
16. #2469×C139C2semidirect
17. #2465×C139C2semidirect
18. #2459×C139C2semidirect
19. #2455×C139C2semidirect
20. #2419×C139C2semidirect
21. #2418×C139C2semidirect
22. #2406×C139C2semidirect
24. #2359×C139C2semidirect
25. #2358×C139C2semidirect
26. #2353×C139C2semidirect
27. #2344×C139C2semidirect
28. #2342×C139C2semidirect
29. C4×#123×C139C2semidirect
30. #2290×C139C2semidirect
31. C2×#388×C139C2semidirect
47. C2×C4×Q8×C139C22semidirect
48. C2×C4×Q8×C139C22semidirect
55. C2×C4×D4×C139C22semidirect
56. C2×C4×D4×C139C22semidirect
60. C2×#117×C139C22semidirect
61. C2×#117×C139C22semidirect
68. C22×C42×C139C22semidirect
69. C22×C42×C139C22semidirect
70. #400×C139C22semidirect
71. #400×C139C22semidirect
73. #399×C139C22semidirect
74. #398×C139C22semidirect
76. #397×C139C22semidirect
77. #397×C139C22semidirect
80. #395×C139C22semidirect
81. #395×C139C22semidirect
82. #395×C139C22semidirect
87. #394×C139C22semidirect
88. #394×C139C22semidirect
91. #393×C139C22semidirect
94. #391×C139C22semidirect
95. #391×C139C22semidirect
97. #389×C139C22semidirect
98. #389×C139C22semidirect
99. #389×C139C22semidirect
100. #389×C139C22semidirect
101. #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
133. #387×C139C22semidirect
134. #387×C139C22semidirect
135. #387×C139C22semidirect
136. #387×C139C22semidirect
137. #387×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
158. #385×C139C22semidirect
159. #385×C139C22semidirect
160. #385×C139C22semidirect
161. #385×C139C22semidirect
162. #385×C139C22semidirect
163. #385×C139C22semidirect
164. #385×C139C22semidirect
165. #385×C139C22semidirect
166. #383×C139C22semidirect
170. #381×C139C22semidirect
171. #381×C139C22semidirect
176. C4×C4⋊C4×C139C22semidirect
177. C4×C4⋊C4×C139C22semidirect
178. C4×C4⋊C4×C139C22semidirect
184. C4×C22⋊C4×C139C22semidirect
185. C4×C22⋊C4×C139C22semidirect
186. #376×C139C22semidirect
237. C4×D4×C139D4semidirect
562. C22⋊C4×C139#41semidirect
804. #36224C139direct (N × H)
805. C139#36224direct (N × H)
806. C2×#551C2×C139semidirect
807. C2×C4×#41C2×C139semidirect
808. #2855C2×C139semidirect
809. #2853C2×C139semidirect
810. #2852C2×C139semidirect
811. #2604C2×C139semidirect
812. #2602C2×C139semidirect
813. #2600C2×C139semidirect
814. #2599C2×C139semidirect
815. #2564C2×C139semidirect
816. #2534C2×C139semidirect
817. #2479C2×C139semidirect
818. #2477C2×C139semidirect
819. #2474C2×C139semidirect
820. #2470C2×C139semidirect
821. #2469C2×C139semidirect
822. #2465C2×C139semidirect
823. #2459C2×C139semidirect
824. #2455C2×C139semidirect
825. #2419C2×C139semidirect
826. #2418C2×C139semidirect
827. #2406C2×C139semidirect
829. #2359C2×C139semidirect
830. #2358C2×C139semidirect
831. #2353C2×C139semidirect
832. #2344C2×C139semidirect
833. #2342C2×C139semidirect
834. C4×#123C2×C139semidirect
835. #2290C2×C139semidirect
836. C2×#388C2×C139semidirect
852. C2×C4×Q8C22×C139semidirect
853. C2×C4×Q8C22×C139semidirect
860. C2×C4×D4C22×C139semidirect
861. C2×C4×D4C22×C139semidirect
865. C2×#117C22×C139semidirect
866. C2×#117C22×C139semidirect
873. C22×C42C22×C139semidirect
874. C22×C42C22×C139semidirect
875. #400C22×C139semidirect
876. #400C22×C139semidirect
878. #399C22×C139semidirect
879. #398C22×C139semidirect
881. #397C22×C139semidirect
882. #397C22×C139semidirect
885. #395C22×C139semidirect
886. #395C22×C139semidirect
887. #395C22×C139semidirect
892. #394C22×C139semidirect
893. #394C22×C139semidirect
896. #393C22×C139semidirect
899. #391C22×C139semidirect
900. #391C22×C139semidirect
902. #389C22×C139semidirect
903. #389C22×C139semidirect
904. #389C22×C139semidirect
905. #389C22×C139semidirect
906. #389C22×C139semidirect
925. #388C22×C139semidirect
926. #388C22×C139semidirect
927. #388C22×C139semidirect
928. #388C22×C139semidirect
929. #387C22×C139semidirect
930. #387C22×C139semidirect
931. #387C22×C139semidirect
932. #387C22×C139semidirect
933. #387C22×C139semidirect
934. #387C22×C139semidirect
935. #387C22×C139semidirect
936. #387C22×C139semidirect
937. #387C22×C139semidirect
938. #387C22×C139semidirect
939. #387C22×C139semidirect
940. #387C22×C139semidirect
941. #387C22×C139semidirect
942. #387C22×C139semidirect
943. #387C22×C139semidirect
944. #387C22×C139semidirect
963. #385C22×C139semidirect
964. #385C22×C139semidirect
965. #385C22×C139semidirect
966. #385C22×C139semidirect
967. #385C22×C139semidirect
968. #385C22×C139semidirect
969. #385C22×C139semidirect
970. #385C22×C139semidirect
971. #383C22×C139semidirect
975. #381C22×C139semidirect
976. #381C22×C139semidirect
981. C4×C4⋊C4C22×C139semidirect
982. C4×C4⋊C4C22×C139semidirect
983. C4×C4⋊C4C22×C139semidirect
989. C4×C22⋊C4C22×C139semidirect
990. C4×C22⋊C4C22×C139semidirect
991. #376C22×C139semidirect
1042. C4×D4D4×C139semidirect
1367. C22⋊C4#41×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#551×C1392
C2×C4×#41×C1392
#2855×C1392
#2853×C1392
#2852×C1392
#2604×C1392
#2602×C1392
#2600×C1392
#2599×C1392
#2564×C1392
#2534×C1392
#2479×C1392
#2477×C1392
#2474×C1392
#2470×C1392
#2469×C1392
#2465×C1392
#2459×C1392
#2455×C1392
#2419×C1392
#2418×C1392
#2406×C1392
#2404×C1392
#2359×C1392
#2358×C1392
#2353×C1392
#2344×C1392
#2342×C1392
C4×#123×C1392
#2290×C1392
C2×#388×C1392
#36224139