Finite Group Databasebeta

← C139×#37122 #48031718

Subgroups — C139×#37122 #48031718

Order 35584.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C139C211yesmaximal, characteristic, complemented
2C2×#529×C139C211yesmaximal, characteristic, complemented
3#2852×C139C211yesmaximal, characteristic, complemented
4#2850×C139C211yesmaximal, characteristic, complemented
5#2723×C139C211yesmaximal, characteristic, complemented
6#2721×C139C211yesmaximal, characteristic, complemented
7#2715×C139C211yesmaximal, characteristic, complemented
8#2698×C139C211yesmaximal, characteristic, complemented
9#2696×C139C211yesmaximal, characteristic, complemented
10#2694×C139C211yesmaximal, characteristic, complemented
11#2691×C139C211yesmaximal, characteristic, complemented
12#2686×C139C211yesmaximal, characteristic, complemented
13#2685×C139C211yesmaximal, characteristic, complemented
14#2684×C139C211yesmaximal, characteristic, complemented
15#2680×C139C211yesmaximal, characteristic, complemented
16#2678×C139C211yesmaximal, characteristic, complemented
17#2672×C139C211yesmaximal, characteristic, complemented
18#2671×C139C211yesmaximal, characteristic, complemented
19#2671×C139C211yesmaximal, characteristic, complemented
20#2668×C139C211yesmaximal, characteristic, complemented
21#2637×C139C211yesmaximal, characteristic, complemented
22#2632×C139C211yesmaximal, characteristic, complemented
23#2602×C139C211yesmaximal, characteristic, complemented
24#2600×C139C211yesmaximal, characteristic, complemented
25#2543×C139C211yesmaximal, characteristic, complemented
26#2534×C139C211yesmaximal, characteristic, complemented
27#2500×C139C211yesmaximal, characteristic, complemented
28#2498×C139C211yesmaximal, characteristic, complemented
29#2485×C139C211yesmaximal, characteristic, complemented
30#2482×C139C211yesmaximal, characteristic, complemented
31#2318×C139C211yesmaximal, characteristic, complemented
32#538×C139—28no—
33#529×C139—28no—
34C2×#126×C139C2211yescharacteristic
35C2×#126×C139C2211yescharacteristic
36C2×#126×C139C2211yescharacteristic
37C2×#126×C139C2211yescharacteristic, complemented
38C2×#125×C139C2211yescharacteristic, complemented
39C2×#124×C139C2211yescharacteristic
40C2×#124×C139C2211yescharacteristic
41C2×#124×C139C2211yescharacteristic
42C2×#123×C139C2211yescharacteristic
43C2×#123×C139C2211yescharacteristic
44C2×#123×C139C2211yescharacteristic
45C2×#123×C139C2211yescharacteristic
46C2×#123×C139C2211yescharacteristic, complemented
47C2×C22⋊Q8×C139C2211yescharacteristic
48C2×C22⋊Q8×C139C2211yescharacteristic, complemented
49C2×C22⋊Q8×C139C2211yescharacteristic, complemented
50C2×#121×C139C2211yescharacteristic
51C2×#121×C139C2211yescharacteristic
52C2×#121×C139C2211yescharacteristic
53C2×#121×C139C2211yescharacteristic
54C2×#121×C139C2211yescharacteristic
55C2×#121×C139C2211yescharacteristic
56C2×#121×C139C2211yescharacteristic, complemented
57C2×#120×C139C2211yescharacteristic
58C2×#120×C139C2211yescharacteristic
59C2×#120×C139C2211yescharacteristic
60C2×C4×Q8×C139C2211yescharacteristic, complemented
61C2×C4×D4×C139C2211yescharacteristic
62C2×C4×D4×C139C2211yescharacteristic
63C2×C4×D4×C139C2211yescharacteristic
64C2×C4×D4×C139C2211yescharacteristic, complemented
65C2×#117×C139C2211yescharacteristic
66C2×#117×C139C2211yescharacteristic, complemented
67C22×C22⋊C4×C139C2211yescharacteristic
68C22×C42×C139C2211yescharacteristic, complemented
69#400×C139C2211yescharacteristic, complemented
70#399×C139C2211yescharacteristic
71#399×C139C2211yescharacteristic
72#399×C139C2211yescharacteristic
73#399×C139C2211yescharacteristic
74#399×C139C2211yescharacteristic, complemented
75#398×C139C2211yescharacteristic, complemented
76#398×C139C2211yescharacteristic, complemented
77#398×C139C2211yescharacteristic, complemented
78#398×C139C2211yescharacteristic, complemented
79#398×C139C2211yescharacteristic, complemented
80#397×C139C2211yescharacteristic
81#397×C139C2211yescharacteristic
82#397×C139C2211yescharacteristic
83#397×C139C2211yescharacteristic
84#397×C139C2211yescharacteristic
85#397×C139C2211yescharacteristic
86#397×C139C2211yescharacteristic
87#397×C139C2211yescharacteristic, complemented
88#397×C139C2211yescharacteristic, complemented
89#396×C139C2211yescharacteristic
90#396×C139C2211yescharacteristic
91#396×C139C2211yescharacteristic
92#396×C139C2211yescharacteristic
93#395×C139C2211yescharacteristic, complemented
94#395×C139C2211yescharacteristic, complemented
95#395×C139C2211yescharacteristic, complemented
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, complemented
109#394×C139C2211yescharacteristic, complemented
110#394×C139C2211yescharacteristic, complemented
111#393×C139C2211yescharacteristic
112#393×C139C2211yescharacteristic
113#393×C139C2211yescharacteristic, complemented
114#392×C139C2211yescharacteristic
115#392×C139C2211yescharacteristic
116#392×C139C2211yescharacteristic
117#391×C139C2211yescharacteristic, complemented
118#390×C139C2211yescharacteristic
119#390×C139C2211yescharacteristic
120#390×C139C2211yescharacteristic
121#390×C139C2211yescharacteristic
122#389×C139C2211yescharacteristic, complemented
123#389×C139C2211yescharacteristic, complemented
124#389×C139C2211yescharacteristic, complemented
125#388×C139C2211yescharacteristic
126#388×C139C2211yescharacteristic
127#388×C139C2211yescharacteristic
128#388×C139C2211yescharacteristic
129#388×C139C2211yescharacteristic
130#388×C139C2211yescharacteristic
131#388×C139C2211yescharacteristic
132#388×C139C2211yescharacteristic
133#388×C139C2211yescharacteristic
134#388×C139C2211yescharacteristic
135#388×C139C2211yescharacteristic
136#388×C139C2211yescharacteristic
137#388×C139C2211yescharacteristic, complemented
138#388×C139C2211yescharacteristic, complemented
139#388×C139C2211yescharacteristic, complemented
140#388×C139C2211yescharacteristic, complemented
141#388×C139C2211yescharacteristic, complemented
142#388×C139C2211yescharacteristic, complemented
143#387×C139C2211yescharacteristic, complemented
144#387×C139C2211yescharacteristic, complemented
145#387×C139C2211yescharacteristic, complemented
146#387×C139C2211yescharacteristic, complemented
147#387×C139C2211yescharacteristic, complemented
148#387×C139C2211yescharacteristic, complemented
149#387×C139C2211yescharacteristic, complemented
150#387×C139C2211yescharacteristic, complemented
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#386×C139C2211yescharacteristic
156#386×C139C2211yescharacteristic
157#386×C139C2211yescharacteristic
158#386×C139C2211yescharacteristic
159#386×C139C2211yescharacteristic
160#386×C139C2211yescharacteristic
161#386×C139C2211yescharacteristic, complemented
162#386×C139C2211yescharacteristic, complemented
163#386×C139C2211yescharacteristic, complemented
164#386×C139C2211yescharacteristic, complemented
165#385×C139C2211yescharacteristic
166#385×C139C2211yescharacteristic
167#385×C139C2211yescharacteristic, complemented
168#385×C139C2211yescharacteristic, complemented
169#385×C139C2211yescharacteristic, complemented
170#385×C139C2211yescharacteristic, complemented
171#385×C139C2211yescharacteristic, complemented
172#385×C139C2211yescharacteristic, complemented
173#384×C139C2211yescharacteristic, complemented
174#383×C139C2211yescharacteristic, complemented
175#382×C139C2211yescharacteristic, complemented
176#382×C139C2211yescharacteristic, complemented
177#381×C139C2211yescharacteristic
178#381×C139C2211yescharacteristic
179#380×C139C2211yescharacteristic
180#380×C139C2211yescharacteristic, complemented
181#380×C139C2211yescharacteristic, complemented
182#380×C139C2211yescharacteristic, complemented
183#380×C139C2211yescharacteristic, complemented
184#379×C139C2211yescharacteristic
185#379×C139C2211yescharacteristic
186#379×C139C2211yescharacteristic
187C4×C22⋊C4×C139C2211yescharacteristic, complemented
188C2×#95×C139C2211yescharacteristic, complemented
189C25×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×Q8×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×C139C2311yescharacteristic
201C22×D4×C139C2311yescharacteristic
202C22×D4×C139C2311yescharacteristic
203C22×D4×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
213#126×C139—24no—
214#126×C139—24no—
215#126×C139—24no—
216#126×C139—24no—
217#125×C139—24no—
218#124×C139—24no—
219#124×C139—24no—
220#124×C139—24no—
221#123×C139—24no—
222#123×C139—24no—
223#123×C139—24no—
224#123×C139—24no—
225#123×C139—42no—
226C22⋊Q8×C139—24no—
227C22⋊Q8×C139—24no—
228C22⋊Q8×C139—42no—
229#121×C139—24no—
230#121×C139—24no—
231#121×C139—24no—
232#121×C139—24no—
233#121×C139—42no—
234#121×C139—42no—
235#121×C139—42no—
236#120×C139—24no—
237#120×C139—24no—
238#120×C139—42no—
239C4×Q8×C139—24no—
240C4×D4×C139—24no—
241C4×D4×C139—24no—
242C4×D4×C139—24no—
243C4×D4×C139D418yescomplemented
244#117×C139—24no—
245#117×C139—24no—
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C4⋊C4×C139C2311yescharacteristic
263C2×C4⋊C4×C139C2311yescharacteristic
264C2×C4⋊C4×C139C2311yescharacteristic
265C2×C4⋊C4×C139C2311yescharacteristic
266C2×C4⋊C4×C139C2311yescharacteristic
267C2×C4⋊C4×C139C2311yescharacteristic
268C2×C4⋊C4×C139C2311yescharacteristic
269C2×C4⋊C4×C139C2311yescharacteristic
270C2×C4⋊C4×C139C2311yescharacteristic
271C2×C4⋊C4×C139C2311yescharacteristic
272C2×C4⋊C4×C139C2311yescharacteristic
273C2×C4⋊C4×C139C2311yescharacteristic
274C2×C4⋊C4×C139C2311yescharacteristic
275C2×C4⋊C4×C139C2311yescharacteristic
276C2×C4⋊C4×C139C2311yescharacteristic
277C2×C4⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139—24no—
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C22⋊C4×C139C2311yescharacteristic
312C2×C22⋊C4×C139C2311yescharacteristic
313C2×C22⋊C4×C139C2311yescharacteristic
314C2×C22⋊C4×C139C2311yescharacteristic
315C2×C22⋊C4×C139C2311yescharacteristic
316C2×C22⋊C4×C139C2311yescharacteristic
317C2×C22⋊C4×C139C2311yescharacteristic
318C2×C22⋊C4×C139C2311yescharacteristic
319C2×C22⋊C4×C139C2311yescharacteristic
320C2×C22⋊C4×C139C2311yescharacteristic
321C2×C22⋊C4×C139C2311yescharacteristic
322C2×C22⋊C4×C139C2311yescharacteristic
323C2×C22⋊C4×C139C2311yescharacteristic
324C2×C22⋊C4×C139C2311yescharacteristic
325C2×C22⋊C4×C139C2311yescharacteristic
326C2×C22⋊C4×C139C2311yescharacteristic
327C2×C22⋊C4×C139C2311yescharacteristic
328C2×C22⋊C4×C139C2311yescharacteristic
329C2×C22⋊C4×C139C2311yescharacteristic
330C2×C22⋊C4×C139C2311yescharacteristic
331C2×C22⋊C4×C139C2311yescharacteristic
332C2×C22⋊C4×C139C2311yescharacteristic
333C2×C42×C139—24no—
334C2×C42×C139C2311yescharacteristic
335C2×C42×C139C2311yescharacteristic
336C2×C42×C139C2311yescharacteristic
337C2×C42×C139C2311yescharacteristic
338C2×C42×C139C2311yescharacteristic
339C2×C42×C139C2311yescharacteristic
340C2×C42×C139C2311yescharacteristic
341C2×C42×C139C2311yescharacteristic
342C2×C42×C139C2311yescharacteristic
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
379C24×C139—22no—
380C24×C139—41no—
381C24×C139—41no—
382C24×C139—41no—
383C24×C139—41no—
384C24×C139—41no—
385C24×C139—41no—
386C24×C139C2411yescharacteristic
387C24×C139C2411yescharacteristic
388C24×C139C2411yescharacteristic
389C24×C139C2411yescharacteristic
390C24×C139C2411yescharacteristic
391C24×C139C2411yescharacteristic
392C2×Q8×C139—22no—
393C2×Q8×C139—22no—
394C2×Q8×C139—41no—
395C2×Q8×C139—41no—
396C2×Q8×C139—41no—
397C2×Q8×C139—41no—
398C2×D4×C139—22no—
399C2×D4×C139—22no—
400C2×D4×C139—22no—
401C2×D4×C139—22no—
402C2×D4×C139—22no—
403C2×D4×C139—22no—
404C2×D4×C139—22no—
405C2×D4×C139—22no—
406C2×D4×C139—22no—
407C2×D4×C139—22no—
408C2×D4×C139—22no—
409C2×D4×C139—22no—
410C2×D4×C139—22no—
411C2×D4×C139—41no—
412C2×D4×C139—41no—
413C2×D4×C139—41no—
414C2×D4×C139—41no—
415C2×D4×C139—41no—
416C2×D4×C139—41no—
417C2×D4×C139—41no—
418C2×D4×C139—41no—
419C2×D4×C139—41no—
420C2×D4×C139—41no—
421C2×D4×C139—41no—
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×C139C2×D414yes—
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—41no—
441C22×C4×C139—41no—
442C22×C4×C139—41no—
443C22×C4×C139—41no—
444C22×C4×C139—41no—
445C22×C4×C139—41no—
446C22×C4×C139—41no—
447C22×C4×C139—41no—
448C22×C4×C139—41no—
449C22×C4×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×C139C2×D414yes—
460C22×C4×C139C2×D414yes—
461C22×C4×C139C2411yescharacteristic
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C22×C4×C139C2411yescharacteristic
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
467C22×C4×C139C2411yescharacteristic
468C22×C4×C139C2411yescharacteristic
469C22×C4×C139C2411yescharacteristic
470C22×C4×C139C2411yescharacteristic
471C22×C4×C139C2411yescharacteristic
472C22×C4×C139C2411yescharacteristic
473C22×C4×C139C2411yescharacteristic
474C22×C4×C139C2411yescharacteristic
475C22×C4×C139C2411yescharacteristic
476C22×C4×C139C2411yescharacteristic
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
486C4⋊C4×C139—22no—
487C4⋊C4×C139—22no—
488C4⋊C4×C139—22no—
489C4⋊C4×C139—22no—
490C4⋊C4×C139—22no—
491C4⋊C4×C139—22no—
492C4⋊C4×C139—22no—
493C4⋊C4×C139—22no—
494C4⋊C4×C139—22no—
495C4⋊C4×C139—22no—
496C4⋊C4×C139—22no—
497C4⋊C4×C139—22no—
498C4⋊C4×C139—22no—
499C4⋊C4×C139—22no—
500C4⋊C4×C139—41no—
501C4⋊C4×C139—41no—
502C4⋊C4×C139—41no—
503C4⋊C4×C139—41no—
504C4⋊C4×C139—41no—
505C4⋊C4×C139—41no—
506C4⋊C4×C139—41no—
507C4⋊C4×C139—41no—
508C4⋊C4×C139—41no—
509C4⋊C4×C139—41no—
510C4⋊C4×C139—41no—
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×C139C2×D414yes—
518C22⋊C4×C139—22no—
519C22⋊C4×C139—22no—
520C22⋊C4×C139—22no—
521C22⋊C4×C139—22no—
522C22⋊C4×C139—22no—
523C22⋊C4×C139—22no—
524C22⋊C4×C139—22no—
525C22⋊C4×C139—22no—
526C22⋊C4×C139—22no—
527C22⋊C4×C139—22no—
528C22⋊C4×C139—22no—
529C22⋊C4×C139—22no—
530C22⋊C4×C139—22no—
531C22⋊C4×C139—22no—
532C22⋊C4×C139—22no—
533C22⋊C4×C139—22no—
534C22⋊C4×C139—22no—
535C22⋊C4×C139—22no—
536C22⋊C4×C139—22no—
537C22⋊C4×C139—22no—
538C22⋊C4×C139—22no—
539C22⋊C4×C139—22no—
540C22⋊C4×C139—22no—
541C22⋊C4×C139—41no—
542C22⋊C4×C139—41no—
543C22⋊C4×C139—41no—
544C22⋊C4×C139—41no—
545C22⋊C4×C139—41no—
546C22⋊C4×C139—41no—
547C22⋊C4×C139—41no—
548C22⋊C4×C139—41no—
549C22⋊C4×C139—41no—
550C22⋊C4×C139—41no—
551C22⋊C4×C139—41no—
552C22⋊C4×C139—41no—
553C22⋊C4×C139—41no—
554C22⋊C4×C139—41no—
555C22⋊C4×C139—41no—
556C22⋊C4×C139—41no—
557C22⋊C4×C139—41no—
558C22⋊C4×C139—41no—
559C22⋊C4×C139—41no—
560C22⋊C4×C139—41no—
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×C139C2×D414yes—
571C22⋊C4×C139C2×D414yes—
572C42×C139—22no—
573C42×C139—22no—
574C42×C139—22no—
575C42×C139—22no—
576C42×C139—22no—
577C42×C139—22no—
578C42×C139—41no—
579C42×C139—41no—
580C42×C139C2×D414yes—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—21no—
592C23×C139—21no—
593C23×C139—21no—
594C23×C139—21no—
595C23×C139—21no—
596C23×C139—21no—
597C23×C139—21no—
598C23×C139—21no—
599C23×C139—21no—
600C23×C139—21no—
601C23×C139—21no—
602C23×C139—21no—
603C23×C139—21no—
604C23×C139—21no—
605C23×C139—21no—
606C23×C139—21no—
607C23×C139—21no—
608C23×C139—21no—
609C23×C139—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—44no—
621C23×C139—82no—
622C23×C139—82no—
623C23×C139—82no—
624C23×C139—82no—
625C23×C139—82no—
626C23×C139—82no—
627C23×C139C22×D412yes—
628C23×C139C22×D412yes—
629C23×C139H(5,𝔽2)12yes—
630C23×C139C2511yescharacteristic
631Q8×C139—44no—
632Q8×C139—82no—
633D4×C139—44no—
634D4×C139—44no—
635D4×C139—44no—
636D4×C139—44no—
637D4×C139—82no—
638D4×C139—82no—
639D4×C139—82no—
640D4×C139—82no—
641D4×C139—82no—
642D4×C139—82no—
643D4×C139—82no—
644D4×C139—82no—
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—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—44no—
716C2×C4×C139—44no—
717C2×C4×C139—44no—
718C2×C4×C139—44no—
719C2×C4×C139—44no—
720C2×C4×C139—82no—
721C2×C4×C139—82no—
722C2×C4×C139—82no—
723C2×C4×C139—82no—
724C2×C4×C139C22×D412yes—
725C2×C4×C139C22×D412yes—
726C2×C4×C139C22×D412yes—
727C2×C4×C139C22×D412yes—
728C2×C4×C139C22×D412yes—
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—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—88no—
772C22×C139C23×D411yescharacteristic
773C22×C139C2×H(5,𝔽2)11yescharacteristic
774C22×C139#58511yescharacteristic
775C22×C139#58511yescharacteristic
776C22×C139#58511yescharacteristic
777C22×C139#58511yescharacteristic
778C22×C139#58511yescharacteristic
779C4×C139—22no—
780C4×C139—22no—
781C4×C139—22no—
782C4×C139—22no—
783C4×C139—22no—
784C4×C139—41no—
785C4×C139—41no—
786C4×C139—41no—
787C4×C139—41no—
788C4×C139—41no—
789C4×C139—41no—
790C4×C139—41no—
791C4×C139—41no—
792C4×C139—41no—
793C4×C139—41no—
794C4×C139—41no—
795C4×C139—41no—
796C4×C139—41no—
797C4×C139—41no—
798C4×C139—41no—
799C4×C139—41no—
800C4×C139—41no—
801C4×C139—41no—
802C4×C139—41no—
803C4×C139—41no—
804C2×C139—42no—
805C2×C139—42no—
806C2×C139—42no—
807C2×C139—81no—
808C2×C139—81no—
809C2×C139—81no—
810C2×C139#344911yescharacteristic
811C2×C139#348511yescharacteristic
812C2×C139#348811yescharacteristic
813C2×C139#354511yescharacteristic
814C2×C139#356011yescharacteristic
815C2×C139#356611yescharacteristic
816C2×C139#356611yescharacteristic
817#37122C13911yesmaximal, characteristic, direct product factor, Sylow
818C139#3712211yescharacteristic, direct product factor, Sylow
819C2×#538C2×C13911yescharacteristic, complemented
820C2×#529C2×C13911yescharacteristic, complemented
821#2852C2×C13911yescharacteristic, complemented
822#2850C2×C13911yescharacteristic, complemented
823#2723C2×C13911yescharacteristic, complemented
824#2721C2×C13911yescharacteristic, complemented
825#2715C2×C13911yescharacteristic, complemented
826#2698C2×C13911yescharacteristic, complemented
827#2696C2×C13911yescharacteristic, complemented
828#2694C2×C13911yescharacteristic, complemented
829#2691C2×C13911yescharacteristic, complemented
830#2686C2×C13911yescharacteristic, complemented
831#2685C2×C13911yescharacteristic, complemented
832#2684C2×C13911yescharacteristic, complemented
833#2680C2×C13911yescharacteristic, complemented
834#2678C2×C13911yescharacteristic, complemented
835#2672C2×C13911yescharacteristic, complemented
836#2671C2×C13911yescharacteristic, complemented
837#2671C2×C13911yescharacteristic, complemented
838#2668C2×C13911yescharacteristic, complemented
839#2637C2×C13911yescharacteristic, complemented
840#2632C2×C13911yescharacteristic, complemented
841#2602C2×C13911yescharacteristic, complemented
842#2600C2×C13911yescharacteristic, complemented
843#2543C2×C13911yescharacteristic, complemented
844#2534C2×C13911yescharacteristic, complemented
845#2500C2×C13911yescharacteristic, complemented
846#2498C2×C13911yescharacteristic, complemented
847#2485C2×C13911yescharacteristic, complemented
848#2482C2×C13911yescharacteristic, complemented
849#2318C2×C13911yescharacteristic, complemented
850#538—28no—
851#529—28no—
852C2×#126C22×C13911yescharacteristic
853C2×#126C22×C13911yescharacteristic
854C2×#126C22×C13911yescharacteristic
855C2×#126C22×C13911yescharacteristic, complemented
856C2×#125C22×C13911yescharacteristic, complemented
857C2×#124C22×C13911yescharacteristic
858C2×#124C22×C13911yescharacteristic
859C2×#124C22×C13911yescharacteristic
860C2×#123C22×C13911yescharacteristic
861C2×#123C22×C13911yescharacteristic
862C2×#123C22×C13911yescharacteristic
863C2×#123C22×C13911yescharacteristic
864C2×#123C22×C13911yescharacteristic, complemented
865C2×C22⋊Q8C22×C13911yescharacteristic
866C2×C22⋊Q8C22×C13911yescharacteristic, complemented
867C2×C22⋊Q8C22×C13911yescharacteristic, complemented
868C2×#121C22×C13911yescharacteristic
869C2×#121C22×C13911yescharacteristic
870C2×#121C22×C13911yescharacteristic
871C2×#121C22×C13911yescharacteristic
872C2×#121C22×C13911yescharacteristic
873C2×#121C22×C13911yescharacteristic
874C2×#121C22×C13911yescharacteristic, complemented
875C2×#120C22×C13911yescharacteristic
876C2×#120C22×C13911yescharacteristic
877C2×#120C22×C13911yescharacteristic
878C2×C4×Q8C22×C13911yescharacteristic, complemented
879C2×C4×D4C22×C13911yescharacteristic
880C2×C4×D4C22×C13911yescharacteristic
881C2×C4×D4C22×C13911yescharacteristic
882C2×C4×D4C22×C13911yescharacteristic, complemented
883C2×#117C22×C13911yescharacteristic
884C2×#117C22×C13911yescharacteristic, complemented
885C22×C22⋊C4C22×C13911yescharacteristic
886C22×C42C22×C13911yescharacteristic, complemented
887#400C22×C13911yescharacteristic, complemented
888#399C22×C13911yescharacteristic
889#399C22×C13911yescharacteristic
890#399C22×C13911yescharacteristic
891#399C22×C13911yescharacteristic
892#399C22×C13911yescharacteristic, complemented
893#398C22×C13911yescharacteristic, complemented
894#398C22×C13911yescharacteristic, complemented
895#398C22×C13911yescharacteristic, complemented
896#398C22×C13911yescharacteristic, complemented
897#398C22×C13911yescharacteristic, complemented
898#397C22×C13911yescharacteristic
899#397C22×C13911yescharacteristic
900#397C22×C13911yescharacteristic
901#397C22×C13911yescharacteristic
902#397C22×C13911yescharacteristic
903#397C22×C13911yescharacteristic
904#397C22×C13911yescharacteristic
905#397C22×C13911yescharacteristic, complemented
906#397C22×C13911yescharacteristic, complemented
907#396C22×C13911yescharacteristic
908#396C22×C13911yescharacteristic
909#396C22×C13911yescharacteristic
910#396C22×C13911yescharacteristic
911#395C22×C13911yescharacteristic, complemented
912#395C22×C13911yescharacteristic, complemented
913#395C22×C13911yescharacteristic, complemented
914#394C22×C13911yescharacteristic
915#394C22×C13911yescharacteristic
916#394C22×C13911yescharacteristic
917#394C22×C13911yescharacteristic
918#394C22×C13911yescharacteristic
919#394C22×C13911yescharacteristic
920#394C22×C13911yescharacteristic
921#394C22×C13911yescharacteristic
922#394C22×C13911yescharacteristic
923#394C22×C13911yescharacteristic
924#394C22×C13911yescharacteristic
925#394C22×C13911yescharacteristic
926#394C22×C13911yescharacteristic, complemented
927#394C22×C13911yescharacteristic, complemented
928#394C22×C13911yescharacteristic, complemented
929#393C22×C13911yescharacteristic
930#393C22×C13911yescharacteristic
931#393C22×C13911yescharacteristic, complemented
932#392C22×C13911yescharacteristic
933#392C22×C13911yescharacteristic
934#392C22×C13911yescharacteristic
935#391C22×C13911yescharacteristic, complemented
936#390C22×C13911yescharacteristic
937#390C22×C13911yescharacteristic
938#390C22×C13911yescharacteristic
939#390C22×C13911yescharacteristic
940#389C22×C13911yescharacteristic, complemented
941#389C22×C13911yescharacteristic, complemented
942#389C22×C13911yescharacteristic, complemented
943#388C22×C13911yescharacteristic
944#388C22×C13911yescharacteristic
945#388C22×C13911yescharacteristic
946#388C22×C13911yescharacteristic
947#388C22×C13911yescharacteristic
948#388C22×C13911yescharacteristic
949#388C22×C13911yescharacteristic
950#388C22×C13911yescharacteristic
951#388C22×C13911yescharacteristic
952#388C22×C13911yescharacteristic
953#388C22×C13911yescharacteristic
954#388C22×C13911yescharacteristic
955#388C22×C13911yescharacteristic, complemented
956#388C22×C13911yescharacteristic, complemented
957#388C22×C13911yescharacteristic, complemented
958#388C22×C13911yescharacteristic, complemented
959#388C22×C13911yescharacteristic, complemented
960#388C22×C13911yescharacteristic, complemented
961#387C22×C13911yescharacteristic, complemented
962#387C22×C13911yescharacteristic, complemented
963#387C22×C13911yescharacteristic, complemented
964#387C22×C13911yescharacteristic, complemented
965#387C22×C13911yescharacteristic, complemented
966#387C22×C13911yescharacteristic, complemented
967#387C22×C13911yescharacteristic, complemented
968#387C22×C13911yescharacteristic, complemented
969#386C22×C13911yescharacteristic
970#386C22×C13911yescharacteristic
971#386C22×C13911yescharacteristic
972#386C22×C13911yescharacteristic
973#386C22×C13911yescharacteristic
974#386C22×C13911yescharacteristic
975#386C22×C13911yescharacteristic
976#386C22×C13911yescharacteristic
977#386C22×C13911yescharacteristic
978#386C22×C13911yescharacteristic
979#386C22×C13911yescharacteristic, complemented
980#386C22×C13911yescharacteristic, complemented
981#386C22×C13911yescharacteristic, complemented
982#386C22×C13911yescharacteristic, complemented
983#385C22×C13911yescharacteristic
984#385C22×C13911yescharacteristic
985#385C22×C13911yescharacteristic, complemented
986#385C22×C13911yescharacteristic, complemented
987#385C22×C13911yescharacteristic, complemented
988#385C22×C13911yescharacteristic, complemented
989#385C22×C13911yescharacteristic, complemented
990#385C22×C13911yescharacteristic, complemented
991#384C22×C13911yescharacteristic, complemented
992#383C22×C13911yescharacteristic, complemented
993#382C22×C13911yescharacteristic, complemented
994#382C22×C13911yescharacteristic, complemented
995#381C22×C13911yescharacteristic
996#381C22×C13911yescharacteristic
997#380C22×C13911yescharacteristic
998#380C22×C13911yescharacteristic, complemented
999#380C22×C13911yescharacteristic, complemented
1000#380C22×C13911yescharacteristic, complemented
1001#380C22×C13911yescharacteristic, complemented
1002#379C22×C13911yescharacteristic
1003#379C22×C13911yescharacteristic
1004#379C22×C13911yescharacteristic
1005C4×C22⋊C4C22×C13911yescharacteristic, complemented
1006C2×#95C22×C13911yescharacteristic, complemented
1007C25C23×C13911yescharacteristic
1008C22×Q8C23×C13911yescharacteristic
1009C22×Q8C23×C13911yescharacteristic
1010C22×D4C23×C13911yescharacteristic
1011C22×D4C23×C13911yescharacteristic
1012C22×D4C23×C13911yescharacteristic
1013C22×D4C23×C13911yescharacteristic
1014C22×D4C23×C13911yescharacteristic
1015C22×D4C23×C13911yescharacteristic
1016C22×D4C23×C13911yescharacteristic
1017C22×D4C23×C13911yescharacteristic
1018C22×D4C23×C13911yescharacteristic
1019C22×D4C23×C13911yescharacteristic
1020C22×D4C23×C13911yescharacteristic
1021C22×D4C23×C13911yescharacteristic
1022C23×C4C23×C13911yescharacteristic
1023C23×C4C23×C13911yescharacteristic
1024C23×C4C23×C13911yescharacteristic
1025C23×C4C23×C13911yescharacteristic
1026C23×C4C23×C13911yescharacteristic
1027C23×C4C23×C13911yescharacteristic
1028C23×C4C23×C13911yescharacteristic
1029C23×C4C23×C13911yescharacteristic
1030C23×C4C23×C13911yescharacteristic
1031#126—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#125—24no—
1036#124—24no—
1037#124—24no—
1038#124—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—42no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—42no—
1052#121—42no—
1053#121—42no—
1054#120—24no—
1055#120—24no—
1056#120—42no—
1057C4×Q8—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4D4×C13918yescomplemented
1062#117—24no—
1063#117—24no—
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×C4⋊C4C23×C13911yescharacteristic
1079C2×C4⋊C4C23×C13911yescharacteristic
1080C2×C4⋊C4C23×C13911yescharacteristic
1081C2×C4⋊C4C23×C13911yescharacteristic
1082C2×C4⋊C4C23×C13911yescharacteristic
1083C2×C4⋊C4C23×C13911yescharacteristic
1084C2×C4⋊C4C23×C13911yescharacteristic
1085C2×C4⋊C4C23×C13911yescharacteristic
1086C2×C4⋊C4C23×C13911yescharacteristic
1087C2×C4⋊C4C23×C13911yescharacteristic
1088C2×C4⋊C4C23×C13911yescharacteristic
1089C2×C4⋊C4C23×C13911yescharacteristic
1090C2×C4⋊C4C23×C13911yescharacteristic
1091C2×C4⋊C4C23×C13911yescharacteristic
1092C2×C4⋊C4C23×C13911yescharacteristic
1093C2×C4⋊C4C23×C13911yescharacteristic
1094C2×C4⋊C4C23×C13911yescharacteristic
1095C2×C4⋊C4C23×C13911yescharacteristic
1096C2×C22⋊C4—24no—
1097C2×C22⋊C4C23×C13911yescharacteristic
1098C2×C22⋊C4C23×C13911yescharacteristic
1099C2×C22⋊C4C23×C13911yescharacteristic
1100C2×C22⋊C4C23×C13911yescharacteristic
1101C2×C22⋊C4C23×C13911yescharacteristic
1102C2×C22⋊C4C23×C13911yescharacteristic
1103C2×C22⋊C4C23×C13911yescharacteristic
1104C2×C22⋊C4C23×C13911yescharacteristic
1105C2×C22⋊C4C23×C13911yescharacteristic
1106C2×C22⋊C4C23×C13911yescharacteristic
1107C2×C22⋊C4C23×C13911yescharacteristic
1108C2×C22⋊C4C23×C13911yescharacteristic
1109C2×C22⋊C4C23×C13911yescharacteristic
1110C2×C22⋊C4C23×C13911yescharacteristic
1111C2×C22⋊C4C23×C13911yescharacteristic
1112C2×C22⋊C4C23×C13911yescharacteristic
1113C2×C22⋊C4C23×C13911yescharacteristic
1114C2×C22⋊C4C23×C13911yescharacteristic
1115C2×C22⋊C4C23×C13911yescharacteristic
1116C2×C22⋊C4C23×C13911yescharacteristic
1117C2×C22⋊C4C23×C13911yescharacteristic
1118C2×C22⋊C4C23×C13911yescharacteristic
1119C2×C22⋊C4C23×C13911yescharacteristic
1120C2×C22⋊C4C23×C13911yescharacteristic
1121C2×C22⋊C4C23×C13911yescharacteristic
1122C2×C22⋊C4C23×C13911yescharacteristic
1123C2×C22⋊C4C23×C13911yescharacteristic
1124C2×C22⋊C4C23×C13911yescharacteristic
1125C2×C22⋊C4C23×C13911yescharacteristic
1126C2×C22⋊C4C23×C13911yescharacteristic
1127C2×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×C42—24no—
1152C2×C42C23×C13911yescharacteristic
1153C2×C42C23×C13911yescharacteristic
1154C2×C42C23×C13911yescharacteristic
1155C2×C42C23×C13911yescharacteristic
1156C2×C42C23×C13911yescharacteristic
1157C2×C42C23×C13911yescharacteristic
1158C2×C42C23×C13911yescharacteristic
1159C2×C42C23×C13911yescharacteristic
1160C2×C42C23×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
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
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24C24×C13911yescharacteristic
1205C24C24×C13911yescharacteristic
1206C24C24×C13911yescharacteristic
1207C24C24×C13911yescharacteristic
1208C24C24×C13911yescharacteristic
1209C24C24×C13911yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4C2×D4×C13914yes—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
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×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4C2×D4×C13914yes—
1278C22×C4C2×D4×C13914yes—
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
1295C22×C4C24×C13911yescharacteristic
1296C22×C4C24×C13911yescharacteristic
1297C22×C4C24×C13911yescharacteristic
1298C22×C4C24×C13911yescharacteristic
1299C22×C4C24×C13911yescharacteristic
1300C22×C4C24×C13911yescharacteristic
1301C22×C4C24×C13911yescharacteristic
1302C22×C4C24×C13911yescharacteristic
1303C22×C4C24×C13911yescharacteristic
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—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4C2×D4×C13914yes—
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—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4C2×D4×C13914yes—
1389C22⋊C4C2×D4×C13914yes—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—41no—
1397C42—41no—
1398C42C2×D4×C13914yes—
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—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—44no—
1439C23—82no—
1440C23—82no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23C22×D4×C13912yes—
1446C23C22×D4×C13912yes—
1447C23H(5,𝔽2)×C13912yes—
1448C23C25×C13911yescharacteristic
1449Q8—44no—
1450Q8—82no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461D4—82no—
1462D4—82no—
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—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—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—82no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4C22×D4×C13912yes—
1543C2×C4C22×D4×C13912yes—
1544C2×C4C22×D4×C13912yes—
1545C2×C4C22×D4×C13912yes—
1546C2×C4C22×D4×C13912yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22C23×D4×C13911yescharacteristic
1591C22C2×H(5,𝔽2)×C13911yescharacteristic
1592C22#585×C13911yescharacteristic
1593C22#585×C13911yescharacteristic
1594C22#585×C13911yescharacteristic
1595C22#585×C13911yescharacteristic
1596C22#585×C13911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C2—42no—
1623C2—42no—
1624C2—42no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2#3449×C13911yescharacteristic
1629C2#3485×C13911yescharacteristic
1630C2#3488×C13911yescharacteristic
1631C2#3545×C13911yescharacteristic
1632C2#3560×C13911yescharacteristic
1633C2#3566×C13911yescharacteristic
1634C2#3566×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×#538×C139C2semidirect
2. C2×#529×C139C2semidirect
3. #2852×C139C2semidirect
4. #2850×C139C2semidirect
5. #2723×C139C2semidirect
6. #2721×C139C2semidirect
7. #2715×C139C2semidirect
8. #2698×C139C2semidirect
9. #2696×C139C2semidirect
10. #2694×C139C2semidirect
11. #2691×C139C2semidirect
12. #2686×C139C2semidirect
13. #2685×C139C2semidirect
14. #2684×C139C2semidirect
15. #2680×C139C2semidirect
16. #2678×C139C2semidirect
17. #2672×C139C2semidirect
18. #2671×C139C2semidirect
19. #2671×C139C2semidirect
20. #2668×C139C2semidirect
21. #2637×C139C2semidirect
22. #2632×C139C2semidirect
23. #2602×C139C2semidirect
24. #2600×C139C2semidirect
25. #2543×C139C2semidirect
26. #2534×C139C2semidirect
27. #2500×C139C2semidirect
28. #2498×C139C2semidirect
29. #2485×C139C2semidirect
30. #2482×C139C2semidirect
31. #2318×C139C2semidirect
37. C2×#126×C139C22semidirect
38. C2×#125×C139C22semidirect
46. C2×#123×C139C22semidirect
48. C2×C22⋊Q8×C139C22semidirect
49. C2×C22⋊Q8×C139C22semidirect
56. C2×#121×C139C22semidirect
60. C2×C4×Q8×C139C22semidirect
64. C2×C4×D4×C139C22semidirect
66. C2×#117×C139C22semidirect
68. C22×C42×C139C22semidirect
69. #400×C139C22semidirect
74. #399×C139C22semidirect
75. #398×C139C22semidirect
76. #398×C139C22semidirect
77. #398×C139C22semidirect
78. #398×C139C22semidirect
79. #398×C139C22semidirect
87. #397×C139C22semidirect
88. #397×C139C22semidirect
93. #395×C139C22semidirect
94. #395×C139C22semidirect
95. #395×C139C22semidirect
108. #394×C139C22semidirect
109. #394×C139C22semidirect
110. #394×C139C22semidirect
113. #393×C139C22semidirect
117. #391×C139C22semidirect
122. #389×C139C22semidirect
123. #389×C139C22semidirect
124. #389×C139C22semidirect
137. #388×C139C22semidirect
138. #388×C139C22semidirect
139. #388×C139C22semidirect
140. #388×C139C22semidirect
141. #388×C139C22semidirect
142. #388×C139C22semidirect
143. #387×C139C22semidirect
144. #387×C139C22semidirect
145. #387×C139C22semidirect
146. #387×C139C22semidirect
147. #387×C139C22semidirect
148. #387×C139C22semidirect
149. #387×C139C22semidirect
150. #387×C139C22semidirect
161. #386×C139C22semidirect
162. #386×C139C22semidirect
163. #386×C139C22semidirect
164. #386×C139C22semidirect
167. #385×C139C22semidirect
168. #385×C139C22semidirect
169. #385×C139C22semidirect
170. #385×C139C22semidirect
171. #385×C139C22semidirect
172. #385×C139C22semidirect
173. #384×C139C22semidirect
174. #383×C139C22semidirect
175. #382×C139C22semidirect
176. #382×C139C22semidirect
180. #380×C139C22semidirect
181. #380×C139C22semidirect
182. #380×C139C22semidirect
183. #380×C139C22semidirect
187. C4×C22⋊C4×C139C22semidirect
188. C2×#95×C139C22semidirect
243. C4×D4×C139D4semidirect
817. #37122C139direct (N × H)
818. C139#37122direct (N × H)
819. C2×#538C2×C139semidirect
820. C2×#529C2×C139semidirect
821. #2852C2×C139semidirect
822. #2850C2×C139semidirect
823. #2723C2×C139semidirect
824. #2721C2×C139semidirect
825. #2715C2×C139semidirect
826. #2698C2×C139semidirect
827. #2696C2×C139semidirect
828. #2694C2×C139semidirect
829. #2691C2×C139semidirect
830. #2686C2×C139semidirect
831. #2685C2×C139semidirect
832. #2684C2×C139semidirect
833. #2680C2×C139semidirect
834. #2678C2×C139semidirect
835. #2672C2×C139semidirect
836. #2671C2×C139semidirect
837. #2671C2×C139semidirect
838. #2668C2×C139semidirect
839. #2637C2×C139semidirect
840. #2632C2×C139semidirect
841. #2602C2×C139semidirect
842. #2600C2×C139semidirect
843. #2543C2×C139semidirect
844. #2534C2×C139semidirect
845. #2500C2×C139semidirect
846. #2498C2×C139semidirect
847. #2485C2×C139semidirect
848. #2482C2×C139semidirect
849. #2318C2×C139semidirect
855. C2×#126C22×C139semidirect
856. C2×#125C22×C139semidirect
864. C2×#123C22×C139semidirect
866. C2×C22⋊Q8C22×C139semidirect
867. C2×C22⋊Q8C22×C139semidirect
874. C2×#121C22×C139semidirect
878. C2×C4×Q8C22×C139semidirect
882. C2×C4×D4C22×C139semidirect
884. C2×#117C22×C139semidirect
886. C22×C42C22×C139semidirect
887. #400C22×C139semidirect
892. #399C22×C139semidirect
893. #398C22×C139semidirect
894. #398C22×C139semidirect
895. #398C22×C139semidirect
896. #398C22×C139semidirect
897. #398C22×C139semidirect
905. #397C22×C139semidirect
906. #397C22×C139semidirect
911. #395C22×C139semidirect
912. #395C22×C139semidirect
913. #395C22×C139semidirect
926. #394C22×C139semidirect
927. #394C22×C139semidirect
928. #394C22×C139semidirect
931. #393C22×C139semidirect
935. #391C22×C139semidirect
940. #389C22×C139semidirect
941. #389C22×C139semidirect
942. #389C22×C139semidirect
955. #388C22×C139semidirect
956. #388C22×C139semidirect
957. #388C22×C139semidirect
958. #388C22×C139semidirect
959. #388C22×C139semidirect
960. #388C22×C139semidirect
961. #387C22×C139semidirect
962. #387C22×C139semidirect
963. #387C22×C139semidirect
964. #387C22×C139semidirect
965. #387C22×C139semidirect
966. #387C22×C139semidirect
967. #387C22×C139semidirect
968. #387C22×C139semidirect
979. #386C22×C139semidirect
980. #386C22×C139semidirect
981. #386C22×C139semidirect
982. #386C22×C139semidirect
985. #385C22×C139semidirect
986. #385C22×C139semidirect
987. #385C22×C139semidirect
988. #385C22×C139semidirect
989. #385C22×C139semidirect
990. #385C22×C139semidirect
991. #384C22×C139semidirect
992. #383C22×C139semidirect
993. #382C22×C139semidirect
994. #382C22×C139semidirect
998. #380C22×C139semidirect
999. #380C22×C139semidirect
1000. #380C22×C139semidirect
1001. #380C22×C139semidirect
1005. C4×C22⋊C4C22×C139semidirect
1006. C2×#95C22×C139semidirect
1061. C4×D4D4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1392
C2×#529×C1392
#2852×C1392
#2850×C1392
#2723×C1392
#2721×C1392
#2715×C1392
#2698×C1392
#2696×C1392
#2694×C1392
#2691×C1392
#2686×C1392
#2685×C1392
#2684×C1392
#2680×C1392
#2678×C1392
#2672×C1392
#2671×C1392
#2668×C1392
#2637×C1392
#2632×C1392
#2602×C1392
#2600×C1392
#2543×C1392
#2534×C1392
#2500×C1392
#2498×C1392
#2485×C1392
#2482×C1392
#2318×C1392
#37122139