Finite Group Databasebeta

← C139×#37234 #48031830

Subgroups — C139×#37234 #48031830

Order 35584.

2370 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C139C211yesmaximal, characteristic, complemented
2C2×#532×C139C211yesmaximal, characteristic, complemented
3#2852×C139C211yesmaximal, characteristic, complemented
4#2851×C139C211yesmaximal, characteristic, complemented
5#2715×C139C211yesmaximal, characteristic, complemented
6#2713×C139C211yesmaximal, characteristic, complemented
7#2711×C139C211yesmaximal, characteristic, complemented
8#2710×C139C211yesmaximal, characteristic, complemented
9#2709×C139C211yesmaximal, characteristic, complemented
10#2708×C139C211yesmaximal, characteristic, complemented
11#2703×C139C211yesmaximal, characteristic, complemented
12#2691×C139C211yesmaximal, characteristic, complemented
13#2677×C139C211yesmaximal, characteristic, complemented
14#2676×C139C211yesmaximal, characteristic, complemented
15#2674×C139C211yesmaximal, characteristic, complemented
16#2673×C139C211yesmaximal, characteristic, complemented
17#2672×C139C211yesmaximal, characteristic, complemented
18#2672×C139C211yesmaximal, characteristic, complemented
19#2671×C139C211yesmaximal, characteristic, complemented
20#2671×C139C211yesmaximal, characteristic, complemented
21#2636×C139C211yesmaximal, characteristic, complemented
22#2633×C139C211yesmaximal, characteristic, complemented
23#2602×C139C211yesmaximal, characteristic, complemented
24#2600×C139C211yesmaximal, characteristic, complemented
25#2579×C139C211yesmaximal, characteristic, complemented
26#2564×C139C211yesmaximal, characteristic, complemented
27#2432×C139C211yesmaximal, characteristic, complemented
28#2430×C139C211yesmaximal, characteristic, complemented
29#2407×C139C211yesmaximal, characteristic, complemented
30#2406×C139C211yesmaximal, characteristic, complemented
31#2318×C139C211yesmaximal, characteristic, complemented
32C22×#41×C139C2211yescharacteristic
33C22×#41×C139C2211yescharacteristic
34#539×C139—28no—
35#532×C139—28no—
36C2×C4⋊Q8×C139C2211yescharacteristic
37C2×C4⋊Q8×C139C2211yescharacteristic
38C2×#127×C139C2211yescharacteristic
39C2×#126×C139C2211yescharacteristic
40C2×#126×C139C2211yescharacteristic
41C2×#125×C139C2211yescharacteristic
42C2×#125×C139C2211yescharacteristic
43C2×#124×C139C2211yescharacteristic
44C2×#124×C139C2211yescharacteristic
45C2×#124×C139C2211yescharacteristic
46C2×#123×C139C2211yescharacteristic
47C2×#123×C139C2211yescharacteristic
48C2×#123×C139C2211yescharacteristic
49C2×#123×C139C2211yescharacteristic
50C2×#123×C139C2211yescharacteristic
51C2×#123×C139C2211yescharacteristic
52C2×C22⋊Q8×C139C2211yescharacteristic
53C2×C22⋊Q8×C139C2211yescharacteristic
54C2×C22⋊Q8×C139C2211yescharacteristic
55C2×C22⋊Q8×C139C2211yescharacteristic
56C2×#121×C139C2211yescharacteristic
57C2×#121×C139C2211yescharacteristic
58C2×#121×C139C2211yescharacteristic
59C2×#121×C139C2211yescharacteristic
60C2×#121×C139C2211yescharacteristic
61C2×#121×C139C2211yescharacteristic
62C2×#121×C139C2211yescharacteristic
63C2×#121×C139C2211yescharacteristic
64C2×C4×D4×C139C2211yescharacteristic
65C2×C4×D4×C139C2211yescharacteristic
66C2×C4×D4×C139C2211yescharacteristic
67C2×C4×D4×C139C2211yescharacteristic
68C2×C4×D4×C139C2211yescharacteristic
69C22×C4⋊C4×C139C2211yescharacteristic
70C22×C42×C139C2211yescharacteristic
71#400×C139C2211yescharacteristic
72#400×C139C2211yescharacteristic
73#399×C139C2211yescharacteristic
74#399×C139C2211yescharacteristic
75#399×C139C2211yescharacteristic
76#399×C139C2211yescharacteristic
77#398×C139C2211yescharacteristic
78#398×C139C2211yescharacteristic
79#398×C139C2211yescharacteristic
80#398×C139C2211yescharacteristic
81#397×C139C2211yescharacteristic
82#397×C139C2211yescharacteristic
83#397×C139C2211yescharacteristic
84#397×C139C2211yescharacteristic
85#396×C139C2211yescharacteristic
86#396×C139C2211yescharacteristic
87#396×C139C2211yescharacteristic
88#396×C139C2211yescharacteristic
89#395×C139C2211yescharacteristic
90#395×C139C2211yescharacteristic
91#395×C139C2211yescharacteristic
92#395×C139C2211yescharacteristic
93#394×C139C2211yescharacteristic
94#394×C139C2211yescharacteristic
95#394×C139C2211yescharacteristic
96#394×C139C2211yescharacteristic
97#394×C139C2211yescharacteristic
98#394×C139C2211yescharacteristic
99#394×C139C2211yescharacteristic
100#394×C139C2211yescharacteristic
101#394×C139C2211yescharacteristic
102#394×C139C2211yescharacteristic
103#394×C139C2211yescharacteristic
104#394×C139C2211yescharacteristic
105#394×C139C2211yescharacteristic
106#394×C139C2211yescharacteristic
107#394×C139C2211yescharacteristic
108#394×C139C2211yescharacteristic
109#394×C139C2211yescharacteristic
110#394×C139C2211yescharacteristic
111#393×C139C2211yescharacteristic
112#393×C139C2211yescharacteristic
113#392×C139C2211yescharacteristic
114#392×C139C2211yescharacteristic
115#392×C139C2211yescharacteristic
116#392×C139C2211yescharacteristic
117#392×C139C2211yescharacteristic
118#392×C139C2211yescharacteristic
119#391×C139C2211yescharacteristic
120#391×C139C2211yescharacteristic
121#390×C139C2211yescharacteristic
122#390×C139C2211yescharacteristic
123#390×C139C2211yescharacteristic
124#389×C139C2211yescharacteristic
125#389×C139C2211yescharacteristic
126#389×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
135#387×C139C2211yescharacteristic
136#387×C139C2211yescharacteristic
137#387×C139C2211yescharacteristic
138#387×C139C2211yescharacteristic
139#387×C139C2211yescharacteristic
140#387×C139C2211yescharacteristic
141#387×C139C2211yescharacteristic
142#387×C139C2211yescharacteristic
143#387×C139C2211yescharacteristic
144#387×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#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#386×C139C2211yescharacteristic
156#386×C139C2211yescharacteristic
157#386×C139C2211yescharacteristic
158#386×C139C2211yescharacteristic
159#386×C139C2211yescharacteristic
160#386×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#385×C139C2211yescharacteristic
164#385×C139C2211yescharacteristic
165#385×C139C2211yescharacteristic
166#385×C139C2211yescharacteristic
167#385×C139C2211yescharacteristic
168#385×C139C2211yescharacteristic
169#385×C139C2211yescharacteristic
170#385×C139C2211yescharacteristic
171#385×C139C2211yescharacteristic
172#385×C139C2211yescharacteristic
173#385×C139C2211yescharacteristic
174#385×C139C2211yescharacteristic
175#385×C139C2211yescharacteristic
176#385×C139C2211yescharacteristic
177#385×C139C2211yescharacteristic
178#385×C139C2211yescharacteristic
179#383×C139C2211yescharacteristic
180#382×C139C2211yescharacteristic
181#381×C139C2211yescharacteristic
182#380×C139C2211yescharacteristic
183#380×C139C2211yescharacteristic
184#380×C139C2211yescharacteristic
185#380×C139C2211yescharacteristic
186#380×C139C2211yescharacteristic
187C4×C22⋊C4×C139C2211yescharacteristic
188C2×#95×C139C2211yescharacteristic
189C2×#41×C139—24no—
190C2×#41×C139—24no—
191C2×#41×C139—42no—
192C2×#41×C139—42no—
193C2×#41×C139—42no—
194C2×#41×C139—42no—
195C22×Q8×C139C2311yescharacteristic
196C22×Q8×C139C2311yescharacteristic
197C22×Q8×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×C139C2311yescharacteristic
201C22×D4×C139C2311yescharacteristic
202C22×D4×C139C2311yescharacteristic
203C22×D4×C139C2311yescharacteristic
204C22×D4×C139C2311yescharacteristic
205C22×D4×C139C2311yescharacteristic
206C22×D4×C139C2311yescharacteristic
207C22×D4×C139C2311yescharacteristic
208C22×D4×C139C2311yescharacteristic
209C22×D4×C139C2311yescharacteristic
210C22×D4×C139C2311yescharacteristic
211C22×D4×C139C2311yescharacteristic
212C22×D4×C139C2311yescharacteristic
213C23×C4×C139C2311yescharacteristic
214C23×C4×C139C2311yescharacteristic
215C23×C4×C139C2311yescharacteristic
216C23×C4×C139C2311yescharacteristic
217C23×C4×C139C2311yescharacteristic
218C23×C4×C139C2311yescharacteristic
219C23×C4×C139C2311yescharacteristic
220C23×C4×C139C2311yescharacteristic
221C23×C4×C139C2311yescharacteristic
222C23×C4×C139C2311yescharacteristic
223C23×C4×C139C2311yescharacteristic
224C23×C4×C139C2311yescharacteristic
225C4⋊Q8×C139—24no—
226C4⋊Q8×C139—42no—
227#127×C139—24no—
228#126×C139—24no—
229#126×C139—24no—
230#125×C139—24no—
231#125×C139—24no—
232#124×C139—24no—
233#124×C139—24no—
234#124×C139—42no—
235#123×C139—24no—
236#123×C139—24no—
237#123×C139—24no—
238#123×C139—24no—
239#123×C139—42no—
240#123×C139—42no—
241C22⋊Q8×C139—24no—
242C22⋊Q8×C139—24no—
243C22⋊Q8×C139—24no—
244C22⋊Q8×C139—42no—
245#121×C139—24no—
246#121×C139—24no—
247#121×C139—24no—
248#121×C139—24no—
249#121×C139—24no—
250#121×C139—42no—
251#121×C139—42no—
252#121×C139—42no—
253C4×D4×C139—24no—
254C4×D4×C139—24no—
255C4×D4×C139—24no—
256C4×D4×C139—24no—
257C4×D4×C139D418yescomplemented
258C2×C4⋊C4×C139—24no—
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×C4⋊C4×C139C2311yescharacteristic
276C2×C4⋊C4×C139C2311yescharacteristic
277C2×C4⋊C4×C139C2311yescharacteristic
278C2×C4⋊C4×C139C2311yescharacteristic
279C2×C4⋊C4×C139C2311yescharacteristic
280C2×C4⋊C4×C139C2311yescharacteristic
281C2×C4⋊C4×C139C2311yescharacteristic
282C2×C4⋊C4×C139C2311yescharacteristic
283C2×C4⋊C4×C139C2311yescharacteristic
284C2×C4⋊C4×C139C2311yescharacteristic
285C2×C4⋊C4×C139C2311yescharacteristic
286C2×C4⋊C4×C139C2311yescharacteristic
287C2×C4⋊C4×C139C2311yescharacteristic
288C2×C4⋊C4×C139C2311yescharacteristic
289C2×C4⋊C4×C139C2311yescharacteristic
290C2×C4⋊C4×C139C2311yescharacteristic
291C2×C4⋊C4×C139C2311yescharacteristic
292C2×C4⋊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×C22⋊C4×C139C2311yescharacteristic
328C2×C22⋊C4×C139C2311yescharacteristic
329C2×C22⋊C4×C139C2311yescharacteristic
330C2×C22⋊C4×C139C2311yescharacteristic
331C2×C22⋊C4×C139C2311yescharacteristic
332C2×C22⋊C4×C139C2311yescharacteristic
333C2×C22⋊C4×C139C2311yescharacteristic
334C2×C22⋊C4×C139C2311yescharacteristic
335C2×C22⋊C4×C139C2311yescharacteristic
336C2×C22⋊C4×C139C2311yescharacteristic
337C2×C22⋊C4×C139C2311yescharacteristic
338C2×C22⋊C4×C139C2311yescharacteristic
339C2×C22⋊C4×C139C2311yescharacteristic
340C2×C22⋊C4×C139C2311yescharacteristic
341C2×C42×C139—24no—
342C2×C42×C139C2311yescharacteristic
343C2×C42×C139C2311yescharacteristic
344C2×C42×C139C2311yescharacteristic
345C2×C42×C139C2311yescharacteristic
346C2×C42×C139C2311yescharacteristic
347C2×C42×C139C2311yescharacteristic
348C2×C42×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
382#95×C139C2311yescharacteristic
383#95×C139C2311yescharacteristic
384#95×C139C2311yescharacteristic
385C24×C139C2411yescharacteristic
386C24×C139C2411yescharacteristic
387C24×C139C2411yescharacteristic
388C24×C139C2411yescharacteristic
389C24×C139C2411yescharacteristic
390C24×C139C2411yescharacteristic
391#41×C139—416no—
392#41×C139—416no—
393C2×Q8×C139—22no—
394C2×Q8×C139—22no—
395C2×Q8×C139—22no—
396C2×Q8×C139—22no—
397C2×Q8×C139—22no—
398C2×Q8×C139—41no—
399C2×Q8×C139—41no—
400C2×Q8×C139—41no—
401C2×Q8×C139—41no—
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—22no—
415C2×D4×C139—22no—
416C2×D4×C139—22no—
417C2×D4×C139—22no—
418C2×D4×C139—22no—
419C2×D4×C139—22no—
420C2×D4×C139—22no—
421C2×D4×C139—22no—
422C2×D4×C139—41no—
423C2×D4×C139—41no—
424C2×D4×C139—41no—
425C2×D4×C139—41no—
426C2×D4×C139—41no—
427C2×D4×C139—41no—
428C2×D4×C139—41no—
429C2×D4×C139—41no—
430C2×D4×C139—41no—
431C2×D4×C139—41no—
432C2×D4×C139—41no—
433C2×D4×C139—41no—
434C2×D4×C139—41no—
435C2×D4×C139—41no—
436C2×D4×C139—41no—
437C2×D4×C139—41no—
438C2×D4×C139—41no—
439C2×D4×C139—41no—
440C2×D4×C139—41no—
441C2×D4×C139—41no—
442C2×D4×C139—41no—
443C2×D4×C139—41no—
444C2×D4×C139—41no—
445C2×D4×C139—41no—
446C2×D4×C139C2×D414yes—
447C22×C4×C139—22no—
448C22×C4×C139—22no—
449C22×C4×C139—22no—
450C22×C4×C139—22no—
451C22×C4×C139—22no—
452C22×C4×C139—22no—
453C22×C4×C139—22no—
454C22×C4×C139—22no—
455C22×C4×C139—22no—
456C22×C4×C139—22no—
457C22×C4×C139—22no—
458C22×C4×C139—41no—
459C22×C4×C139—41no—
460C22×C4×C139—41no—
461C22×C4×C139—41no—
462C22×C4×C139—41no—
463C22×C4×C139—41no—
464C22×C4×C139—41no—
465C22×C4×C139—41no—
466C22×C4×C139—41no—
467C22×C4×C139—41no—
468C22×C4×C139—41no—
469C22×C4×C139—41no—
470C22×C4×C139—41no—
471C22×C4×C139—41no—
472C22×C4×C139—41no—
473C22×C4×C139—41no—
474C22×C4×C139—41no—
475C22×C4×C139—41no—
476C22×C4×C139—41no—
477C22×C4×C139—41no—
478C22×C4×C139—41no—
479C22×C4×C139—41no—
480C22×C4×C139—41no—
481C22×C4×C139C2×D414yes—
482C22×C4×C139C2×D414yes—
483C22×C4×C139C2411yescharacteristic
484C22×C4×C139C2411yescharacteristic
485C22×C4×C139C2411yescharacteristic
486C22×C4×C139C2411yescharacteristic
487C22×C4×C139C2411yescharacteristic
488C22×C4×C139C2411yescharacteristic
489C22×C4×C139C2411yescharacteristic
490C22×C4×C139C2411yescharacteristic
491C22×C4×C139C2411yescharacteristic
492C22×C4×C139C2411yescharacteristic
493C22×C4×C139C2411yescharacteristic
494C22×C4×C139C2411yescharacteristic
495C22×C4×C139C2411yescharacteristic
496C22×C4×C139C2411yescharacteristic
497C22×C4×C139C2411yescharacteristic
498C22×C4×C139C2411yescharacteristic
499C22×C4×C139C2411yescharacteristic
500C22×C4×C139C2411yescharacteristic
501C22×C4×C139C2411yescharacteristic
502C22×C4×C139C2411yescharacteristic
503C22×C4×C139C2411yescharacteristic
504C22×C4×C139C2411yescharacteristic
505C22×C4×C139C2411yescharacteristic
506C22×C4×C139C2411yescharacteristic
507C22×C4×C139C2411yescharacteristic
508C4⋊C4×C139—22no—
509C4⋊C4×C139—22no—
510C4⋊C4×C139—22no—
511C4⋊C4×C139—22no—
512C4⋊C4×C139—22no—
513C4⋊C4×C139—22no—
514C4⋊C4×C139—22no—
515C4⋊C4×C139—22no—
516C4⋊C4×C139—22no—
517C4⋊C4×C139—22no—
518C4⋊C4×C139—22no—
519C4⋊C4×C139—22no—
520C4⋊C4×C139—22no—
521C4⋊C4×C139—22no—
522C4⋊C4×C139—22no—
523C4⋊C4×C139—22no—
524C4⋊C4×C139—22no—
525C4⋊C4×C139—22no—
526C4⋊C4×C139—22no—
527C4⋊C4×C139—22no—
528C4⋊C4×C139—41no—
529C4⋊C4×C139—41no—
530C4⋊C4×C139—41no—
531C4⋊C4×C139—41no—
532C4⋊C4×C139—41no—
533C4⋊C4×C139—41no—
534C4⋊C4×C139—41no—
535C4⋊C4×C139—41no—
536C4⋊C4×C139—41no—
537C4⋊C4×C139—41no—
538C4⋊C4×C139—41no—
539C4⋊C4×C139—41no—
540C4⋊C4×C139—41no—
541C4⋊C4×C139C2×D414yes—
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—22no—
552C22⋊C4×C139—22no—
553C22⋊C4×C139—22no—
554C22⋊C4×C139—22no—
555C22⋊C4×C139—22no—
556C22⋊C4×C139—22no—
557C22⋊C4×C139—22no—
558C22⋊C4×C139—22no—
559C22⋊C4×C139—22no—
560C22⋊C4×C139—22no—
561C22⋊C4×C139—41no—
562C22⋊C4×C139—41no—
563C22⋊C4×C139—41no—
564C22⋊C4×C139—41no—
565C22⋊C4×C139—41no—
566C22⋊C4×C139—41no—
567C22⋊C4×C139—41no—
568C22⋊C4×C139—41no—
569C22⋊C4×C139—41no—
570C22⋊C4×C139—41no—
571C22⋊C4×C139—41no—
572C22⋊C4×C139—41no—
573C22⋊C4×C139—41no—
574C22⋊C4×C139—41no—
575C22⋊C4×C139—41no—
576C22⋊C4×C139—41no—
577C22⋊C4×C139—41no—
578C22⋊C4×C139—41no—
579C22⋊C4×C139—41no—
580C22⋊C4×C139—41no—
581C22⋊C4×C139—41no—
582C22⋊C4×C139—41no—
583C22⋊C4×C139—41no—
584C22⋊C4×C139—41no—
585C22⋊C4×C139—41no—
586C22⋊C4×C139—41no—
587C22⋊C4×C139—41no—
588C22⋊C4×C139C2×D414yes—
589C22⋊C4×C139C2×D414yes—
590C42×C139—22no—
591C42×C139—22no—
592C42×C139—22no—
593C42×C139—22no—
594C42×C139—41no—
595C42×C139—41no—
596C42×C139C2×D414yes—
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—21no—
610C23×C139—21no—
611C23×C139—21no—
612C23×C139—21no—
613C23×C139—21no—
614C23×C139—21no—
615C23×C139—21no—
616C23×C139—21no—
617C23×C139—21no—
618C23×C139—21no—
619C23×C139—21no—
620C23×C139—21no—
621C23×C139—21no—
622C23×C139—21no—
623C23×C139—21no—
624C23×C139—21no—
625C23×C139—21no—
626C23×C139—21no—
627C23×C139—21no—
628C23×C139—21no—
629C23×C139—21no—
630C23×C139—21no—
631C23×C139—21no—
632C23×C139—21no—
633C23×C139—21no—
634C23×C139—21no—
635C23×C139—21no—
636C23×C139C22×D412yes—
637C23×C139C22×D412yes—
638C23×C139H(5,𝔽2)12yes—
639C23×C139C2511yescharacteristic
640Q8×C139—44no—
641Q8×C139—44no—
642Q8×C139—82no—
643D4×C139—44no—
644D4×C139—44no—
645D4×C139—44no—
646D4×C139—44no—
647D4×C139—44no—
648D4×C139—44no—
649D4×C139—44no—
650D4×C139—44no—
651D4×C139—44no—
652D4×C139—44no—
653D4×C139—44no—
654D4×C139—82no—
655D4×C139—82no—
656D4×C139—82no—
657D4×C139—82no—
658C2×C4×C139—28no—
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—21no—
703C2×C4×C139—21no—
704C2×C4×C139—21no—
705C2×C4×C139—21no—
706C2×C4×C139—21no—
707C2×C4×C139—21no—
708C2×C4×C139—21no—
709C2×C4×C139—21no—
710C2×C4×C139—21no—
711C2×C4×C139—21no—
712C2×C4×C139—21no—
713C2×C4×C139—21no—
714C2×C4×C139—21no—
715C2×C4×C139—21no—
716C2×C4×C139—21no—
717C2×C4×C139—21no—
718C2×C4×C139—21no—
719C2×C4×C139—21no—
720C2×C4×C139—21no—
721C2×C4×C139—21no—
722C2×C4×C139—21no—
723C2×C4×C139—21no—
724C2×C4×C139—21no—
725C2×C4×C139—21no—
726C2×C4×C139—21no—
727C2×C4×C139—44no—
728C2×C4×C139—44no—
729C2×C4×C139—44no—
730C2×C4×C139—44no—
731C2×C4×C139—44no—
732C2×C4×C139—44no—
733C2×C4×C139—44no—
734C2×C4×C139—82no—
735C2×C4×C139—82no—
736C2×C4×C139—82no—
737C2×C4×C139—82no—
738C2×C4×C139C22×D412yes—
739C2×C4×C139C22×D412yes—
740C2×C4×C139C22×D412yes—
741C2×C4×C139C22×D412yes—
742C2×C4×C139C22×D412yes—
743C2×C4×C139H(5,𝔽2)12yes—
744C2×C4×C1392−1+412yes—
745C22×C139—22no—
746C22×C139—22no—
747C22×C139—22no—
748C22×C139—22no—
749C22×C139—22no—
750C22×C139—22no—
751C22×C139—22no—
752C22×C139—22no—
753C22×C139—22no—
754C22×C139—41no—
755C22×C139—41no—
756C22×C139—41no—
757C22×C139—41no—
758C22×C139—41no—
759C22×C139—41no—
760C22×C139—41no—
761C22×C139—41no—
762C22×C139—41no—
763C22×C139—41no—
764C22×C139—41no—
765C22×C139—41no—
766C22×C139—41no—
767C22×C139—41no—
768C22×C139—41no—
769C22×C139—41no—
770C22×C139—41no—
771C22×C139—41no—
772C22×C139—41no—
773C22×C139—41no—
774C22×C139—41no—
775C22×C139—41no—
776C22×C139—41no—
777C22×C139—41no—
778C22×C139—41no—
779C22×C139—41no—
780C22×C139—41no—
781C22×C139—41no—
782C22×C139—41no—
783C22×C139—41no—
784C22×C139—41no—
785C22×C139—41no—
786C22×C139—41no—
787C22×C139C23×D411yescharacteristic
788C22×C139C2×H(5,𝔽2)11yescharacteristic
789C22×C139C2×H(5,𝔽2)11yescharacteristic
790C22×C139C2×2−1+411yescharacteristic
791C22×C139#58511yescharacteristic
792C22×C139#58511yescharacteristic
793C22×C139#58511yescharacteristic
794C4×C139—22no—
795C4×C139—22no—
796C4×C139—22no—
797C4×C139—22no—
798C4×C139—22no—
799C4×C139—22no—
800C4×C139—22no—
801C4×C139—41no—
802C4×C139—41no—
803C4×C139—41no—
804C4×C139—41no—
805C4×C139—41no—
806C4×C139—41no—
807C4×C139—41no—
808C4×C139—41no—
809C4×C139—41no—
810C4×C139—41no—
811C4×C139—41no—
812C4×C139—41no—
813C4×C139—41no—
814C4×C139—41no—
815C4×C139—41no—
816C4×C139—41no—
817C4×C139—41no—
818C4×C139—41no—
819C2×C139—42no—
820C2×C139—42no—
821C2×C139—42no—
822C2×C139—81no—
823C2×C139—81no—
824C2×C139—81no—
825C2×C139#344911yescharacteristic
826C2×C139#348411yescharacteristic
827C2×C139#348911yescharacteristic
828C2×C139#355411yescharacteristic
829C2×C139#355911yescharacteristic
830C2×C139#356011yescharacteristic
831C2×C139#356211yescharacteristic
832#37234C13911yesmaximal, characteristic, direct product factor, Sylow
833C139#3723411yescharacteristic, direct product factor, Sylow
834C2×#539C2×C13911yescharacteristic, complemented
835C2×#532C2×C13911yescharacteristic, complemented
836#2852C2×C13911yescharacteristic, complemented
837#2851C2×C13911yescharacteristic, complemented
838#2715C2×C13911yescharacteristic, complemented
839#2713C2×C13911yescharacteristic, complemented
840#2711C2×C13911yescharacteristic, complemented
841#2710C2×C13911yescharacteristic, complemented
842#2709C2×C13911yescharacteristic, complemented
843#2708C2×C13911yescharacteristic, complemented
844#2703C2×C13911yescharacteristic, complemented
845#2691C2×C13911yescharacteristic, complemented
846#2677C2×C13911yescharacteristic, complemented
847#2676C2×C13911yescharacteristic, complemented
848#2674C2×C13911yescharacteristic, complemented
849#2673C2×C13911yescharacteristic, complemented
850#2672C2×C13911yescharacteristic, complemented
851#2672C2×C13911yescharacteristic, complemented
852#2671C2×C13911yescharacteristic, complemented
853#2671C2×C13911yescharacteristic, complemented
854#2636C2×C13911yescharacteristic, complemented
855#2633C2×C13911yescharacteristic, complemented
856#2602C2×C13911yescharacteristic, complemented
857#2600C2×C13911yescharacteristic, complemented
858#2579C2×C13911yescharacteristic, complemented
859#2564C2×C13911yescharacteristic, complemented
860#2432C2×C13911yescharacteristic, complemented
861#2430C2×C13911yescharacteristic, complemented
862#2407C2×C13911yescharacteristic, complemented
863#2406C2×C13911yescharacteristic, complemented
864#2318C2×C13911yescharacteristic, complemented
865C22×#41C22×C13911yescharacteristic
866C22×#41C22×C13911yescharacteristic
867#539—28no—
868#532—28no—
869C2×C4⋊Q8C22×C13911yescharacteristic
870C2×C4⋊Q8C22×C13911yescharacteristic
871C2×#127C22×C13911yescharacteristic
872C2×#126C22×C13911yescharacteristic
873C2×#126C22×C13911yescharacteristic
874C2×#125C22×C13911yescharacteristic
875C2×#125C22×C13911yescharacteristic
876C2×#124C22×C13911yescharacteristic
877C2×#124C22×C13911yescharacteristic
878C2×#124C22×C13911yescharacteristic
879C2×#123C22×C13911yescharacteristic
880C2×#123C22×C13911yescharacteristic
881C2×#123C22×C13911yescharacteristic
882C2×#123C22×C13911yescharacteristic
883C2×#123C22×C13911yescharacteristic
884C2×#123C22×C13911yescharacteristic
885C2×C22⋊Q8C22×C13911yescharacteristic
886C2×C22⋊Q8C22×C13911yescharacteristic
887C2×C22⋊Q8C22×C13911yescharacteristic
888C2×C22⋊Q8C22×C13911yescharacteristic
889C2×#121C22×C13911yescharacteristic
890C2×#121C22×C13911yescharacteristic
891C2×#121C22×C13911yescharacteristic
892C2×#121C22×C13911yescharacteristic
893C2×#121C22×C13911yescharacteristic
894C2×#121C22×C13911yescharacteristic
895C2×#121C22×C13911yescharacteristic
896C2×#121C22×C13911yescharacteristic
897C2×C4×D4C22×C13911yescharacteristic
898C2×C4×D4C22×C13911yescharacteristic
899C2×C4×D4C22×C13911yescharacteristic
900C2×C4×D4C22×C13911yescharacteristic
901C2×C4×D4C22×C13911yescharacteristic
902C22×C4⋊C4C22×C13911yescharacteristic
903C22×C42C22×C13911yescharacteristic
904#400C22×C13911yescharacteristic
905#400C22×C13911yescharacteristic
906#399C22×C13911yescharacteristic
907#399C22×C13911yescharacteristic
908#399C22×C13911yescharacteristic
909#399C22×C13911yescharacteristic
910#398C22×C13911yescharacteristic
911#398C22×C13911yescharacteristic
912#398C22×C13911yescharacteristic
913#398C22×C13911yescharacteristic
914#397C22×C13911yescharacteristic
915#397C22×C13911yescharacteristic
916#397C22×C13911yescharacteristic
917#397C22×C13911yescharacteristic
918#396C22×C13911yescharacteristic
919#396C22×C13911yescharacteristic
920#396C22×C13911yescharacteristic
921#396C22×C13911yescharacteristic
922#395C22×C13911yescharacteristic
923#395C22×C13911yescharacteristic
924#395C22×C13911yescharacteristic
925#395C22×C13911yescharacteristic
926#394C22×C13911yescharacteristic
927#394C22×C13911yescharacteristic
928#394C22×C13911yescharacteristic
929#394C22×C13911yescharacteristic
930#394C22×C13911yescharacteristic
931#394C22×C13911yescharacteristic
932#394C22×C13911yescharacteristic
933#394C22×C13911yescharacteristic
934#394C22×C13911yescharacteristic
935#394C22×C13911yescharacteristic
936#394C22×C13911yescharacteristic
937#394C22×C13911yescharacteristic
938#394C22×C13911yescharacteristic
939#394C22×C13911yescharacteristic
940#394C22×C13911yescharacteristic
941#394C22×C13911yescharacteristic
942#394C22×C13911yescharacteristic
943#394C22×C13911yescharacteristic
944#393C22×C13911yescharacteristic
945#393C22×C13911yescharacteristic
946#392C22×C13911yescharacteristic
947#392C22×C13911yescharacteristic
948#392C22×C13911yescharacteristic
949#392C22×C13911yescharacteristic
950#392C22×C13911yescharacteristic
951#392C22×C13911yescharacteristic
952#391C22×C13911yescharacteristic
953#391C22×C13911yescharacteristic
954#390C22×C13911yescharacteristic
955#390C22×C13911yescharacteristic
956#390C22×C13911yescharacteristic
957#389C22×C13911yescharacteristic
958#389C22×C13911yescharacteristic
959#389C22×C13911yescharacteristic
960#388C22×C13911yescharacteristic
961#388C22×C13911yescharacteristic
962#388C22×C13911yescharacteristic
963#388C22×C13911yescharacteristic
964#388C22×C13911yescharacteristic
965#388C22×C13911yescharacteristic
966#388C22×C13911yescharacteristic
967#388C22×C13911yescharacteristic
968#387C22×C13911yescharacteristic
969#387C22×C13911yescharacteristic
970#387C22×C13911yescharacteristic
971#387C22×C13911yescharacteristic
972#387C22×C13911yescharacteristic
973#387C22×C13911yescharacteristic
974#387C22×C13911yescharacteristic
975#387C22×C13911yescharacteristic
976#387C22×C13911yescharacteristic
977#387C22×C13911yescharacteristic
978#386C22×C13911yescharacteristic
979#386C22×C13911yescharacteristic
980#386C22×C13911yescharacteristic
981#386C22×C13911yescharacteristic
982#386C22×C13911yescharacteristic
983#386C22×C13911yescharacteristic
984#386C22×C13911yescharacteristic
985#386C22×C13911yescharacteristic
986#386C22×C13911yescharacteristic
987#386C22×C13911yescharacteristic
988#386C22×C13911yescharacteristic
989#386C22×C13911yescharacteristic
990#386C22×C13911yescharacteristic
991#386C22×C13911yescharacteristic
992#386C22×C13911yescharacteristic
993#386C22×C13911yescharacteristic
994#385C22×C13911yescharacteristic
995#385C22×C13911yescharacteristic
996#385C22×C13911yescharacteristic
997#385C22×C13911yescharacteristic
998#385C22×C13911yescharacteristic
999#385C22×C13911yescharacteristic
1000#385C22×C13911yescharacteristic
1001#385C22×C13911yescharacteristic
1002#385C22×C13911yescharacteristic
1003#385C22×C13911yescharacteristic
1004#385C22×C13911yescharacteristic
1005#385C22×C13911yescharacteristic
1006#385C22×C13911yescharacteristic
1007#385C22×C13911yescharacteristic
1008#385C22×C13911yescharacteristic
1009#385C22×C13911yescharacteristic
1010#385C22×C13911yescharacteristic
1011#385C22×C13911yescharacteristic
1012#383C22×C13911yescharacteristic
1013#382C22×C13911yescharacteristic
1014#381C22×C13911yescharacteristic
1015#380C22×C13911yescharacteristic
1016#380C22×C13911yescharacteristic
1017#380C22×C13911yescharacteristic
1018#380C22×C13911yescharacteristic
1019#380C22×C13911yescharacteristic
1020C4×C22⋊C4C22×C13911yescharacteristic
1021C2×#95C22×C13911yescharacteristic
1022C2×#41—24no—
1023C2×#41—24no—
1024C2×#41—42no—
1025C2×#41—42no—
1026C2×#41—42no—
1027C2×#41—42no—
1028C22×Q8C23×C13911yescharacteristic
1029C22×Q8C23×C13911yescharacteristic
1030C22×Q8C23×C13911yescharacteristic
1031C22×D4C23×C13911yescharacteristic
1032C22×D4C23×C13911yescharacteristic
1033C22×D4C23×C13911yescharacteristic
1034C22×D4C23×C13911yescharacteristic
1035C22×D4C23×C13911yescharacteristic
1036C22×D4C23×C13911yescharacteristic
1037C22×D4C23×C13911yescharacteristic
1038C22×D4C23×C13911yescharacteristic
1039C22×D4C23×C13911yescharacteristic
1040C22×D4C23×C13911yescharacteristic
1041C22×D4C23×C13911yescharacteristic
1042C22×D4C23×C13911yescharacteristic
1043C22×D4C23×C13911yescharacteristic
1044C22×D4C23×C13911yescharacteristic
1045C22×D4C23×C13911yescharacteristic
1046C23×C4C23×C13911yescharacteristic
1047C23×C4C23×C13911yescharacteristic
1048C23×C4C23×C13911yescharacteristic
1049C23×C4C23×C13911yescharacteristic
1050C23×C4C23×C13911yescharacteristic
1051C23×C4C23×C13911yescharacteristic
1052C23×C4C23×C13911yescharacteristic
1053C23×C4C23×C13911yescharacteristic
1054C23×C4C23×C13911yescharacteristic
1055C23×C4C23×C13911yescharacteristic
1056C23×C4C23×C13911yescharacteristic
1057C23×C4C23×C13911yescharacteristic
1058C4⋊Q8—24no—
1059C4⋊Q8—42no—
1060#127—24no—
1061#126—24no—
1062#126—24no—
1063#125—24no—
1064#125—24no—
1065#124—24no—
1066#124—24no—
1067#124—42no—
1068#123—24no—
1069#123—24no—
1070#123—24no—
1071#123—24no—
1072#123—42no—
1073#123—42no—
1074C22⋊Q8—24no—
1075C22⋊Q8—24no—
1076C22⋊Q8—24no—
1077C22⋊Q8—42no—
1078#121—24no—
1079#121—24no—
1080#121—24no—
1081#121—24no—
1082#121—24no—
1083#121—42no—
1084#121—42no—
1085#121—42no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4D4×C13918yescomplemented
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4C23×C13911yescharacteristic
1093C2×C4⋊C4C23×C13911yescharacteristic
1094C2×C4⋊C4C23×C13911yescharacteristic
1095C2×C4⋊C4C23×C13911yescharacteristic
1096C2×C4⋊C4C23×C13911yescharacteristic
1097C2×C4⋊C4C23×C13911yescharacteristic
1098C2×C4⋊C4C23×C13911yescharacteristic
1099C2×C4⋊C4C23×C13911yescharacteristic
1100C2×C4⋊C4C23×C13911yescharacteristic
1101C2×C4⋊C4C23×C13911yescharacteristic
1102C2×C4⋊C4C23×C13911yescharacteristic
1103C2×C4⋊C4C23×C13911yescharacteristic
1104C2×C4⋊C4C23×C13911yescharacteristic
1105C2×C4⋊C4C23×C13911yescharacteristic
1106C2×C4⋊C4C23×C13911yescharacteristic
1107C2×C4⋊C4C23×C13911yescharacteristic
1108C2×C4⋊C4C23×C13911yescharacteristic
1109C2×C4⋊C4C23×C13911yescharacteristic
1110C2×C4⋊C4C23×C13911yescharacteristic
1111C2×C4⋊C4C23×C13911yescharacteristic
1112C2×C4⋊C4C23×C13911yescharacteristic
1113C2×C4⋊C4C23×C13911yescharacteristic
1114C2×C4⋊C4C23×C13911yescharacteristic
1115C2×C4⋊C4C23×C13911yescharacteristic
1116C2×C4⋊C4C23×C13911yescharacteristic
1117C2×C4⋊C4C23×C13911yescharacteristic
1118C2×C4⋊C4C23×C13911yescharacteristic
1119C2×C4⋊C4C23×C13911yescharacteristic
1120C2×C4⋊C4C23×C13911yescharacteristic
1121C2×C4⋊C4C23×C13911yescharacteristic
1122C2×C4⋊C4C23×C13911yescharacteristic
1123C2×C4⋊C4C23×C13911yescharacteristic
1124C2×C4⋊C4C23×C13911yescharacteristic
1125C2×C4⋊C4C23×C13911yescharacteristic
1126C2×C22⋊C4C23×C13911yescharacteristic
1127C2×C22⋊C4C23×C13911yescharacteristic
1128C2×C22⋊C4C23×C13911yescharacteristic
1129C2×C22⋊C4C23×C13911yescharacteristic
1130C2×C22⋊C4C23×C13911yescharacteristic
1131C2×C22⋊C4C23×C13911yescharacteristic
1132C2×C22⋊C4C23×C13911yescharacteristic
1133C2×C22⋊C4C23×C13911yescharacteristic
1134C2×C22⋊C4C23×C13911yescharacteristic
1135C2×C22⋊C4C23×C13911yescharacteristic
1136C2×C22⋊C4C23×C13911yescharacteristic
1137C2×C22⋊C4C23×C13911yescharacteristic
1138C2×C22⋊C4C23×C13911yescharacteristic
1139C2×C22⋊C4C23×C13911yescharacteristic
1140C2×C22⋊C4C23×C13911yescharacteristic
1141C2×C22⋊C4C23×C13911yescharacteristic
1142C2×C22⋊C4C23×C13911yescharacteristic
1143C2×C22⋊C4C23×C13911yescharacteristic
1144C2×C22⋊C4C23×C13911yescharacteristic
1145C2×C22⋊C4C23×C13911yescharacteristic
1146C2×C22⋊C4C23×C13911yescharacteristic
1147C2×C22⋊C4C23×C13911yescharacteristic
1148C2×C22⋊C4C23×C13911yescharacteristic
1149C2×C22⋊C4C23×C13911yescharacteristic
1150C2×C22⋊C4C23×C13911yescharacteristic
1151C2×C22⋊C4C23×C13911yescharacteristic
1152C2×C22⋊C4C23×C13911yescharacteristic
1153C2×C22⋊C4C23×C13911yescharacteristic
1154C2×C22⋊C4C23×C13911yescharacteristic
1155C2×C22⋊C4C23×C13911yescharacteristic
1156C2×C22⋊C4C23×C13911yescharacteristic
1157C2×C22⋊C4C23×C13911yescharacteristic
1158C2×C22⋊C4C23×C13911yescharacteristic
1159C2×C22⋊C4C23×C13911yescharacteristic
1160C2×C22⋊C4C23×C13911yescharacteristic
1161C2×C22⋊C4C23×C13911yescharacteristic
1162C2×C22⋊C4C23×C13911yescharacteristic
1163C2×C22⋊C4C23×C13911yescharacteristic
1164C2×C22⋊C4C23×C13911yescharacteristic
1165C2×C22⋊C4C23×C13911yescharacteristic
1166C2×C22⋊C4C23×C13911yescharacteristic
1167C2×C22⋊C4C23×C13911yescharacteristic
1168C2×C22⋊C4C23×C13911yescharacteristic
1169C2×C22⋊C4C23×C13911yescharacteristic
1170C2×C22⋊C4C23×C13911yescharacteristic
1171C2×C22⋊C4C23×C13911yescharacteristic
1172C2×C22⋊C4C23×C13911yescharacteristic
1173C2×C22⋊C4C23×C13911yescharacteristic
1174C2×C42—24no—
1175C2×C42C23×C13911yescharacteristic
1176C2×C42C23×C13911yescharacteristic
1177C2×C42C23×C13911yescharacteristic
1178C2×C42C23×C13911yescharacteristic
1179C2×C42C23×C13911yescharacteristic
1180C2×C42C23×C13911yescharacteristic
1181C2×C42C23×C13911yescharacteristic
1182#95C23×C13911yescharacteristic
1183#95C23×C13911yescharacteristic
1184#95C23×C13911yescharacteristic
1185#95C23×C13911yescharacteristic
1186#95C23×C13911yescharacteristic
1187#95C23×C13911yescharacteristic
1188#95C23×C13911yescharacteristic
1189#95C23×C13911yescharacteristic
1190#95C23×C13911yescharacteristic
1191#95C23×C13911yescharacteristic
1192#95C23×C13911yescharacteristic
1193#95C23×C13911yescharacteristic
1194#95C23×C13911yescharacteristic
1195#95C23×C13911yescharacteristic
1196#95C23×C13911yescharacteristic
1197#95C23×C13911yescharacteristic
1198#95C23×C13911yescharacteristic
1199#95C23×C13911yescharacteristic
1200#95C23×C13911yescharacteristic
1201#95C23×C13911yescharacteristic
1202#95C23×C13911yescharacteristic
1203#95C23×C13911yescharacteristic
1204#95C23×C13911yescharacteristic
1205#95C23×C13911yescharacteristic
1206#95C23×C13911yescharacteristic
1207#95C23×C13911yescharacteristic
1208#95C23×C13911yescharacteristic
1209#95C23×C13911yescharacteristic
1210#95C23×C13911yescharacteristic
1211#95C23×C13911yescharacteristic
1212#95C23×C13911yescharacteristic
1213#95C23×C13911yescharacteristic
1214#95C23×C13911yescharacteristic
1215#95C23×C13911yescharacteristic
1216#95C23×C13911yescharacteristic
1217#95C23×C13911yescharacteristic
1218C24C24×C13911yescharacteristic
1219C24C24×C13911yescharacteristic
1220C24C24×C13911yescharacteristic
1221C24C24×C13911yescharacteristic
1222C24C24×C13911yescharacteristic
1223C24C24×C13911yescharacteristic
1224#41—416no—
1225#41—416no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—41no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4C2×D4×C13914yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4C2×D4×C13914yes—
1315C22×C4C2×D4×C13914yes—
1316C22×C4C24×C13911yescharacteristic
1317C22×C4C24×C13911yescharacteristic
1318C22×C4C24×C13911yescharacteristic
1319C22×C4C24×C13911yescharacteristic
1320C22×C4C24×C13911yescharacteristic
1321C22×C4C24×C13911yescharacteristic
1322C22×C4C24×C13911yescharacteristic
1323C22×C4C24×C13911yescharacteristic
1324C22×C4C24×C13911yescharacteristic
1325C22×C4C24×C13911yescharacteristic
1326C22×C4C24×C13911yescharacteristic
1327C22×C4C24×C13911yescharacteristic
1328C22×C4C24×C13911yescharacteristic
1329C22×C4C24×C13911yescharacteristic
1330C22×C4C24×C13911yescharacteristic
1331C22×C4C24×C13911yescharacteristic
1332C22×C4C24×C13911yescharacteristic
1333C22×C4C24×C13911yescharacteristic
1334C22×C4C24×C13911yescharacteristic
1335C22×C4C24×C13911yescharacteristic
1336C22×C4C24×C13911yescharacteristic
1337C22×C4C24×C13911yescharacteristic
1338C22×C4C24×C13911yescharacteristic
1339C22×C4C24×C13911yescharacteristic
1340C22×C4C24×C13911yescharacteristic
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4C2×D4×C13914yes—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4C2×D4×C13914yes—
1422C22⋊C4C2×D4×C13914yes—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—41no—
1429C42C2×D4×C13914yes—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23C22×D4×C13912yes—
1470C23C22×D4×C13912yes—
1471C23H(5,𝔽2)×C13912yes—
1472C23C25×C13911yescharacteristic
1473Q8—44no—
1474Q8—44no—
1475Q8—82no—
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491C2×C4—28no—
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—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4C22×D4×C13912yes—
1572C2×C4C22×D4×C13912yes—
1573C2×C4C22×D4×C13912yes—
1574C2×C4C22×D4×C13912yes—
1575C2×C4C22×D4×C13912yes—
1576C2×C4H(5,𝔽2)×C13912yes—
1577C2×C42−1+4×C13912yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22C23×D4×C13911yescharacteristic
1621C22C2×H(5,𝔽2)×C13911yescharacteristic
1622C22C2×H(5,𝔽2)×C13911yescharacteristic
1623C22C2×2−1+4×C13911yescharacteristic
1624C22#585×C13911yescharacteristic
1625C22#585×C13911yescharacteristic
1626C22#585×C13911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C2—42no—
1653C2—42no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2#3449×C13911yescharacteristic
1659C2#3484×C13911yescharacteristic
1660C2#3489×C13911yescharacteristic
1661C2#3554×C13911yescharacteristic
1662C2#3559×C13911yescharacteristic
1663C2#3560×C13911yescharacteristic
1664C2#3562×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#539×C139C2semidirect
2. C2×#532×C139C2semidirect
3. #2852×C139C2semidirect
4. #2851×C139C2semidirect
5. #2715×C139C2semidirect
6. #2713×C139C2semidirect
7. #2711×C139C2semidirect
8. #2710×C139C2semidirect
9. #2709×C139C2semidirect
10. #2708×C139C2semidirect
11. #2703×C139C2semidirect
12. #2691×C139C2semidirect
13. #2677×C139C2semidirect
14. #2676×C139C2semidirect
15. #2674×C139C2semidirect
16. #2673×C139C2semidirect
17. #2672×C139C2semidirect
18. #2672×C139C2semidirect
19. #2671×C139C2semidirect
20. #2671×C139C2semidirect
21. #2636×C139C2semidirect
22. #2633×C139C2semidirect
23. #2602×C139C2semidirect
24. #2600×C139C2semidirect
25. #2579×C139C2semidirect
26. #2564×C139C2semidirect
27. #2432×C139C2semidirect
28. #2430×C139C2semidirect
29. #2407×C139C2semidirect
30. #2406×C139C2semidirect
31. #2318×C139C2semidirect
257. C4×D4×C139D4semidirect
832. #37234C139direct (N × H)
833. C139#37234direct (N × H)
834. C2×#539C2×C139semidirect
835. C2×#532C2×C139semidirect
836. #2852C2×C139semidirect
837. #2851C2×C139semidirect
838. #2715C2×C139semidirect
839. #2713C2×C139semidirect
840. #2711C2×C139semidirect
841. #2710C2×C139semidirect
842. #2709C2×C139semidirect
843. #2708C2×C139semidirect
844. #2703C2×C139semidirect
845. #2691C2×C139semidirect
846. #2677C2×C139semidirect
847. #2676C2×C139semidirect
848. #2674C2×C139semidirect
849. #2673C2×C139semidirect
850. #2672C2×C139semidirect
851. #2672C2×C139semidirect
852. #2671C2×C139semidirect
853. #2671C2×C139semidirect
854. #2636C2×C139semidirect
855. #2633C2×C139semidirect
856. #2602C2×C139semidirect
857. #2600C2×C139semidirect
858. #2579C2×C139semidirect
859. #2564C2×C139semidirect
860. #2432C2×C139semidirect
861. #2430C2×C139semidirect
862. #2407C2×C139semidirect
863. #2406C2×C139semidirect
864. #2318C2×C139semidirect
1090. C4×D4D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C1392
C2×#532×C1392
#2852×C1392
#2851×C1392
#2715×C1392
#2713×C1392
#2711×C1392
#2710×C1392
#2709×C1392
#2708×C1392
#2703×C1392
#2691×C1392
#2677×C1392
#2676×C1392
#2674×C1392
#2673×C1392
#2672×C1392
#2671×C1392
#2636×C1392
#2633×C1392
#2602×C1392
#2600×C1392
#2579×C1392
#2564×C1392
#2432×C1392
#2430×C1392
#2407×C1392
#2406×C1392
#2318×C1392
#37234139