Finite Group Databasebeta

← C139×#34589 #48029185

Subgroups — C139×#34589 #48029185

Order 35584.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2666×C139C211yesmaximal, characteristic, complemented
2#2665×C139C211yesmaximal, characteristic, complemented
3#2662×C139C211yesmaximal, characteristic, complemented
4#2661×C139C211yesmaximal, characteristic, complemented
5#2653×C139C211yesmaximal, characteristic, complemented
6#2653×C139C211yesmaximal, characteristic, complemented
7#2651×C139C211yesmaximal, characteristic, complemented
8#2650×C139C211yesmaximal, characteristic, complemented
9#2649×C139C211yesmaximal, characteristic, complemented
10#2648×C139C211yesmaximal, characteristic, complemented
11#2648×C139C211yesmaximal, characteristic, complemented
12#2648×C139C211yesmaximal, characteristic, complemented
13#2636×C139C211yesmaximal, characteristic, complemented
14#2635×C139C211yesmaximal, characteristic, complemented
15#2631×C139C211yesmaximal, characteristic, complemented
16#2630×C139C211yesmaximal, characteristic, complemented
17#2401×C139C211yesmaximal, characteristic, complemented
18#2398×C139C211yesmaximal, characteristic, complemented
19#2396×C139C211yesmaximal, characteristic, complemented
20#2395×C139C211yesmaximal, characteristic, complemented
21#2392×C139C211yesmaximal, characteristic, complemented
22#2392×C139C211yesmaximal, characteristic, complemented
23#2388×C139C211yesmaximal, characteristic, complemented
24#2388×C139C211yesmaximal, characteristic, complemented
25C4×#126×C139C211yesmaximal, characteristic, complemented
26C4×#124×C139C211yesmaximal, characteristic, complemented
27C4×#123×C139C211yesmaximal, characteristic, complemented
28C4×#121×C139C211yesmaximal, characteristic, complemented
29#2297×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic, complemented
31C42×D4×C139C211yesmaximal, characteristic, complemented
32C22×#41×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#124×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic
36C2×#121×C139C2211yescharacteristic
37C2×C4×Q8×C139C2211yescharacteristic
38C2×C4×D4×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C2×C4×D4×C139C2211yescharacteristic
42C2×C4×D4×C139C2211yescharacteristic
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×#117×C139C2211yescharacteristic
48C2×#117×C139C2211yescharacteristic
49C22×C42×C139C2211yescharacteristic
50C22×C42×C139C2211yescharacteristic
51#401×C139C2211yescharacteristic
52#400×C139C2211yescharacteristic
53#400×C139C2211yescharacteristic
54#400×C139C2211yescharacteristic
55#400×C139C2211yescharacteristic
56#400×C139C2211yescharacteristic
57#400×C139C2211yescharacteristic
58#400×C139C2211yescharacteristic
59#399×C139C2211yescharacteristic
60#399×C139C2211yescharacteristic
61#398×C139C2211yescharacteristic
62#398×C139C2211yescharacteristic
63#398×C139C2211yescharacteristic
64#398×C139C2211yescharacteristic
65#398×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic
71#397×C139C2211yescharacteristic
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic
75#397×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic
80#396×C139C2211yescharacteristic
81#396×C139C2211yescharacteristic
82#396×C139C2211yescharacteristic
83#395×C139C2211yescharacteristic
84#395×C139C2211yescharacteristic
85#395×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#394×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#393×C139C2211yescharacteristic
103#393×C139C2211yescharacteristic
104#393×C139C2211yescharacteristic
105#393×C139C2211yescharacteristic
106#393×C139C2211yescharacteristic
107#392×C139C2211yescharacteristic
108#392×C139C2211yescharacteristic
109#392×C139C2211yescharacteristic
110#392×C139C2211yescharacteristic
111#392×C139C2211yescharacteristic
112#392×C139C2211yescharacteristic
113#392×C139C2211yescharacteristic
114#392×C139C2211yescharacteristic
115#391×C139C2211yescharacteristic
116#391×C139C2211yescharacteristic
117#391×C139C2211yescharacteristic
118#390×C139C2211yescharacteristic
119#390×C139C2211yescharacteristic
120#390×C139C2211yescharacteristic
121#390×C139C2211yescharacteristic
122#389×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic
126#388×C139C2211yescharacteristic
127#388×C139C2211yescharacteristic
128#388×C139C2211yescharacteristic
129#388×C139C2211yescharacteristic
130#388×C139C2211yescharacteristic
131#388×C139C2211yescharacteristic
132#388×C139C2211yescharacteristic
133#388×C139C2211yescharacteristic
134#388×C139C2211yescharacteristic
135#388×C139C2211yescharacteristic
136#387×C139C2211yescharacteristic
137#387×C139C2211yescharacteristic
138#387×C139C2211yescharacteristic
139#387×C139C2211yescharacteristic
140#387×C139C2211yescharacteristic
141#387×C139C2211yescharacteristic
142#387×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#386×C139C2211yescharacteristic
150#386×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#383×C139C2211yescharacteristic
156#382×C139C2211yescharacteristic
157#381×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159C4×C4⋊C4×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic
161C4×C4⋊C4×C139C2211yescharacteristic
162C4×C4⋊C4×C139C2211yescharacteristic
163C4×C4⋊C4×C139C2211yescharacteristic
164C4×C4⋊C4×C139C2211yescharacteristic
165C4×C4⋊C4×C139C2211yescharacteristic
166C4×C4⋊C4×C139C2211yescharacteristic
167C4×C22⋊C4×C139C2211yescharacteristic
168C4×C22⋊C4×C139C2211yescharacteristic
169C4×C22⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185#376×C139C2211yescharacteristic
186C43×C139C2211yescharacteristic
187C2×#41×C139—24no—
188C2×#41×C139—42no—
189C2×#41×C139—42no—
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
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211#126×C139—24no—
212#124×C139—24no—
213#123×C139—24no—
214#121×C139—24no—
215C4×Q8×C139—42no—
216C4×D4×C139—24no—
217C4×D4×C139—24no—
218C4×D4×C139—24no—
219C4×D4×C139—24no—
220C4×D4×C139—42no—
221C4×D4×C139—42no—
222C4×D4×C139—42no—
223C4×D4×C139—42no—
224C4×D4×C139—42no—
225#117×C139—42no—
226#117×C139—42no—
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C22⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139C2311yescharacteristic
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C42×C139—42no—
300C2×C42×C139—42no—
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303C2×C42×C139C2311yescharacteristic
304C2×C42×C139C2311yescharacteristic
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363C24×C139C2411yescharacteristic
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C24×C139C2411yescharacteristic
368#41×C139—416no—
369C2×Q8×C139—22no—
370C2×Q8×C139—22no—
371C2×Q8×C139—41no—
372C2×Q8×C139—41no—
373C2×Q8×C139—41no—
374C2×Q8×C139—41no—
375C2×D4×C139—22no—
376C2×D4×C139—22no—
377C2×D4×C139—22no—
378C2×D4×C139—22no—
379C2×D4×C139—22no—
380C2×D4×C139—22no—
381C2×D4×C139—22no—
382C2×D4×C139—22no—
383C2×D4×C139—22no—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—41no—
388C2×D4×C139—41no—
389C2×D4×C139—41no—
390C2×D4×C139—41no—
391C2×D4×C139—41no—
392C2×D4×C139—41no—
393C2×D4×C139—41no—
394C2×D4×C139—41no—
395C2×D4×C139—41no—
396C2×D4×C139—41no—
397C2×D4×C139—41no—
398C2×D4×C139—41no—
399C2×D4×C139—41no—
400C2×D4×C139—41no—
401C2×D4×C139—41no—
402C2×D4×C139—41no—
403C2×D4×C139—41no—
404C2×D4×C139—41no—
405C22×C4×C139—22no—
406C22×C4×C139—22no—
407C22×C4×C139—22no—
408C22×C4×C139—22no—
409C22×C4×C139—22no—
410C22×C4×C139—22no—
411C22×C4×C139—22no—
412C22×C4×C139—22no—
413C22×C4×C139—22no—
414C22×C4×C139—22no—
415C22×C4×C139—22no—
416C22×C4×C139—22no—
417C22×C4×C139—22no—
418C22×C4×C139—22no—
419C22×C4×C139—22no—
420C22×C4×C139—22no—
421C22×C4×C139—22no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—41no—
428C22×C4×C139—41no—
429C22×C4×C139—41no—
430C22×C4×C139#4114yes—
431C22×C4×C139#4114yescomplemented
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
440C22×C4×C139C2411yescharacteristic
441C22×C4×C139C2411yescharacteristic
442C22×C4×C139C2411yescharacteristic
443C22×C4×C139C2411yescharacteristic
444C22×C4×C139C2411yescharacteristic
445C22×C4×C139C2411yescharacteristic
446C22×C4×C139C2411yescharacteristic
447C22×C4×C139C2411yescharacteristic
448C22×C4×C139C2411yescharacteristic
449C22×C4×C139C2411yescharacteristic
450C22×C4×C139C2411yescharacteristic
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C4⋊C4×C139—22no—
459C4⋊C4×C139—22no—
460C4⋊C4×C139—22no—
461C4⋊C4×C139—22no—
462C4⋊C4×C139—22no—
463C4⋊C4×C139—22no—
464C4⋊C4×C139—22no—
465C4⋊C4×C139—22no—
466C4⋊C4×C139—22no—
467C4⋊C4×C139—22no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C4⋊C4×C139—41no—
472C4⋊C4×C139—41no—
473C4⋊C4×C139—41no—
474C4⋊C4×C139—41no—
475C4⋊C4×C139—41no—
476C4⋊C4×C139—41no—
477C4⋊C4×C139—41no—
478C4⋊C4×C139—41no—
479C4⋊C4×C139—41no—
480C4⋊C4×C139—41no—
481C4⋊C4×C139—41no—
482C4⋊C4×C139—41no—
483C4⋊C4×C139—41no—
484C22⋊C4×C139—22no—
485C22⋊C4×C139—22no—
486C22⋊C4×C139—22no—
487C22⋊C4×C139—22no—
488C22⋊C4×C139—22no—
489C22⋊C4×C139—22no—
490C22⋊C4×C139—22no—
491C22⋊C4×C139—22no—
492C22⋊C4×C139—22no—
493C22⋊C4×C139—22no—
494C22⋊C4×C139—22no—
495C22⋊C4×C139—22no—
496C22⋊C4×C139—22no—
497C22⋊C4×C139—22no—
498C22⋊C4×C139—22no—
499C22⋊C4×C139—22no—
500C22⋊C4×C139—22no—
501C22⋊C4×C139—22no—
502C22⋊C4×C139—22no—
503C22⋊C4×C139—22no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139—41no—
518C22⋊C4×C139—41no—
519C22⋊C4×C139—41no—
520C22⋊C4×C139—41no—
521C22⋊C4×C139—41no—
522C22⋊C4×C139—41no—
523C22⋊C4×C139—41no—
524C22⋊C4×C139—41no—
525C22⋊C4×C139—41no—
526C22⋊C4×C139—41no—
527C22⋊C4×C139—41no—
528C22⋊C4×C139—41no—
529C22⋊C4×C139—41no—
530C42×C139—22no—
531C42×C139—22no—
532C42×C139—22no—
533C42×C139—22no—
534C42×C139—22no—
535C42×C139—22no—
536C42×C139—22no—
537C42×C139—22no—
538C42×C139—22no—
539C42×C139—22no—
540C42×C139—22no—
541C42×C139—41no—
542C42×C139—41no—
543C42×C139—41no—
544C42×C139—41no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139#4114yescomplemented
548C23×C139—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—21no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139C2×#4112yes—
582C23×C139C2×#4112yes—
583C23×C139C2511yescharacteristic
584Q8×C139—44no—
585Q8×C139—44no—
586D4×C139—28no—
587D4×C139—44no—
588D4×C139—44no—
589D4×C139—44no—
590D4×C139—44no—
591D4×C139—44no—
592D4×C139—44no—
593D4×C139—44no—
594D4×C139—44no—
595D4×C139—44no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—28no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—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—44no—
667C2×C4×C139—44no—
668C2×C4×C139—44no—
669C2×C4×C139—44no—
670C2×C4×C139—44no—
671C2×C4×C139—44no—
672C2×C4×C139—44no—
673C2×C4×C139—44no—
674C2×C4×C139C2×#4112yes—
675C2×C4×C139C2×#4112yes—
676C2×C4×C139C2×#4112yes—
677C2×C4×C139C2×#4112yes—
678C2×C4×C139C2×#4112yes—
679C2×C4×C139C2×#4112yes—
680C2×C4×C139C2×#4112yes—
681C2×C4×C139H(5,𝔽2)12yes—
682C2×C4×C139H(5,𝔽2)12yes—
683C22×C139—22no—
684C22×C139—22no—
685C22×C139—22no—
686C22×C139—22no—
687C22×C139—22no—
688C22×C139—22no—
689C22×C139—41no—
690C22×C139—41no—
691C22×C139—41no—
692C22×C139—41no—
693C22×C139—41no—
694C22×C139—41no—
695C22×C139—41no—
696C22×C139—41no—
697C22×C139—41no—
698C22×C139—41no—
699C22×C139—41no—
700C22×C139—41no—
701C22×C139—41no—
702C22×C139—41no—
703C22×C139—41no—
704C22×C139—41no—
705C22×C139—41no—
706C22×C139—41no—
707C22×C139—41no—
708C22×C139—41no—
709C22×C139—41no—
710C22×C139—41no—
711C22×C139—41no—
712C22×C139—41no—
713C22×C139—41no—
714C22×C139—41no—
715C22×C139—41no—
716C22×C139—41no—
717C22×C139—41no—
718C22×C139C22×#4111yescharacteristic
719C22×C139C22×#4111yescharacteristic
720C22×C139C22×#4111yescharacteristic
721C22×C139C2×H(5,𝔽2)11yescharacteristic
722C22×C139C2×H(5,𝔽2)11yescharacteristic
723C22×C139#58511yescharacteristic
724C22×C139#58511yescharacteristic
725C4×C139—22no—
726C4×C139—22no—
727C4×C139—22no—
728C4×C139—22no—
729C4×C139—22no—
730C4×C139—22no—
731C4×C139—41no—
732C4×C139—41no—
733C4×C139—41no—
734C4×C139—41no—
735C4×C139—41no—
736C4×C139—41no—
737C4×C139—41no—
738C4×C139—41no—
739C4×C139—41no—
740C4×C139—41no—
741C4×C139—41no—
742C4×C139—41no—
743C4×C139—41no—
744C4×C139—41no—
745C4×C139—41no—
746C4×C139—41no—
747C4×C139—41no—
748C4×C139—41no—
749C4×C139—41no—
750C4×C139#53814yes—
751C2×C139—42no—
752C2×C139—42no—
753C2×C139—81no—
754C2×C139—81no—
755C2×C139—81no—
756C2×C139#344411yescharacteristic
757C2×C139C2×#53811yescharacteristic
758C2×C139#345511yescharacteristic
759C2×C139#345911yescharacteristic
760C2×C139#346011yescharacteristic
761C2×C139#346011yescharacteristic
762C2×C139#346011yescharacteristic
763#34589C13911yesmaximal, characteristic, direct product factor, Sylow
764C139#3458911yescharacteristic, direct product factor, Sylow
765#2666C2×C13911yescharacteristic, complemented
766#2665C2×C13911yescharacteristic, complemented
767#2662C2×C13911yescharacteristic, complemented
768#2661C2×C13911yescharacteristic, complemented
769#2653C2×C13911yescharacteristic, complemented
770#2653C2×C13911yescharacteristic, complemented
771#2651C2×C13911yescharacteristic, complemented
772#2650C2×C13911yescharacteristic, complemented
773#2649C2×C13911yescharacteristic, complemented
774#2648C2×C13911yescharacteristic, complemented
775#2648C2×C13911yescharacteristic, complemented
776#2648C2×C13911yescharacteristic, complemented
777#2636C2×C13911yescharacteristic, complemented
778#2635C2×C13911yescharacteristic, complemented
779#2631C2×C13911yescharacteristic, complemented
780#2630C2×C13911yescharacteristic, complemented
781#2401C2×C13911yescharacteristic, complemented
782#2398C2×C13911yescharacteristic, complemented
783#2396C2×C13911yescharacteristic, complemented
784#2395C2×C13911yescharacteristic, complemented
785#2392C2×C13911yescharacteristic, complemented
786#2392C2×C13911yescharacteristic, complemented
787#2388C2×C13911yescharacteristic, complemented
788#2388C2×C13911yescharacteristic, complemented
789C4×#126C2×C13911yescharacteristic, complemented
790C4×#124C2×C13911yescharacteristic, complemented
791C4×#123C2×C13911yescharacteristic, complemented
792C4×#121C2×C13911yescharacteristic, complemented
793#2297C2×C13911yescharacteristic, complemented
794#2290C2×C13911yescharacteristic, complemented
795C42×D4C2×C13911yescharacteristic, complemented
796C22×#41C22×C13911yescharacteristic
797C2×#126C22×C13911yescharacteristic
798C2×#124C22×C13911yescharacteristic
799C2×#123C22×C13911yescharacteristic
800C2×#121C22×C13911yescharacteristic
801C2×C4×Q8C22×C13911yescharacteristic
802C2×C4×D4C22×C13911yescharacteristic
803C2×C4×D4C22×C13911yescharacteristic
804C2×C4×D4C22×C13911yescharacteristic
805C2×C4×D4C22×C13911yescharacteristic
806C2×C4×D4C22×C13911yescharacteristic
807C2×C4×D4C22×C13911yescharacteristic
808C2×C4×D4C22×C13911yescharacteristic
809C2×C4×D4C22×C13911yescharacteristic
810C2×C4×D4C22×C13911yescharacteristic
811C2×#117C22×C13911yescharacteristic
812C2×#117C22×C13911yescharacteristic
813C22×C42C22×C13911yescharacteristic
814C22×C42C22×C13911yescharacteristic
815#401C22×C13911yescharacteristic
816#400C22×C13911yescharacteristic
817#400C22×C13911yescharacteristic
818#400C22×C13911yescharacteristic
819#400C22×C13911yescharacteristic
820#400C22×C13911yescharacteristic
821#400C22×C13911yescharacteristic
822#400C22×C13911yescharacteristic
823#399C22×C13911yescharacteristic
824#399C22×C13911yescharacteristic
825#398C22×C13911yescharacteristic
826#398C22×C13911yescharacteristic
827#398C22×C13911yescharacteristic
828#398C22×C13911yescharacteristic
829#398C22×C13911yescharacteristic
830#397C22×C13911yescharacteristic
831#397C22×C13911yescharacteristic
832#397C22×C13911yescharacteristic
833#397C22×C13911yescharacteristic
834#397C22×C13911yescharacteristic
835#397C22×C13911yescharacteristic
836#397C22×C13911yescharacteristic
837#397C22×C13911yescharacteristic
838#397C22×C13911yescharacteristic
839#397C22×C13911yescharacteristic
840#396C22×C13911yescharacteristic
841#396C22×C13911yescharacteristic
842#396C22×C13911yescharacteristic
843#396C22×C13911yescharacteristic
844#396C22×C13911yescharacteristic
845#396C22×C13911yescharacteristic
846#396C22×C13911yescharacteristic
847#395C22×C13911yescharacteristic
848#395C22×C13911yescharacteristic
849#395C22×C13911yescharacteristic
850#394C22×C13911yescharacteristic
851#394C22×C13911yescharacteristic
852#394C22×C13911yescharacteristic
853#394C22×C13911yescharacteristic
854#394C22×C13911yescharacteristic
855#394C22×C13911yescharacteristic
856#394C22×C13911yescharacteristic
857#394C22×C13911yescharacteristic
858#394C22×C13911yescharacteristic
859#394C22×C13911yescharacteristic
860#394C22×C13911yescharacteristic
861#394C22×C13911yescharacteristic
862#394C22×C13911yescharacteristic
863#394C22×C13911yescharacteristic
864#394C22×C13911yescharacteristic
865#394C22×C13911yescharacteristic
866#393C22×C13911yescharacteristic
867#393C22×C13911yescharacteristic
868#393C22×C13911yescharacteristic
869#393C22×C13911yescharacteristic
870#393C22×C13911yescharacteristic
871#392C22×C13911yescharacteristic
872#392C22×C13911yescharacteristic
873#392C22×C13911yescharacteristic
874#392C22×C13911yescharacteristic
875#392C22×C13911yescharacteristic
876#392C22×C13911yescharacteristic
877#392C22×C13911yescharacteristic
878#392C22×C13911yescharacteristic
879#391C22×C13911yescharacteristic
880#391C22×C13911yescharacteristic
881#391C22×C13911yescharacteristic
882#390C22×C13911yescharacteristic
883#390C22×C13911yescharacteristic
884#390C22×C13911yescharacteristic
885#390C22×C13911yescharacteristic
886#389C22×C13911yescharacteristic
887#388C22×C13911yescharacteristic
888#388C22×C13911yescharacteristic
889#388C22×C13911yescharacteristic
890#388C22×C13911yescharacteristic
891#388C22×C13911yescharacteristic
892#388C22×C13911yescharacteristic
893#388C22×C13911yescharacteristic
894#388C22×C13911yescharacteristic
895#388C22×C13911yescharacteristic
896#388C22×C13911yescharacteristic
897#388C22×C13911yescharacteristic
898#388C22×C13911yescharacteristic
899#388C22×C13911yescharacteristic
900#387C22×C13911yescharacteristic
901#387C22×C13911yescharacteristic
902#387C22×C13911yescharacteristic
903#387C22×C13911yescharacteristic
904#387C22×C13911yescharacteristic
905#387C22×C13911yescharacteristic
906#387C22×C13911yescharacteristic
907#386C22×C13911yescharacteristic
908#386C22×C13911yescharacteristic
909#386C22×C13911yescharacteristic
910#386C22×C13911yescharacteristic
911#386C22×C13911yescharacteristic
912#386C22×C13911yescharacteristic
913#386C22×C13911yescharacteristic
914#386C22×C13911yescharacteristic
915#386C22×C13911yescharacteristic
916#385C22×C13911yescharacteristic
917#385C22×C13911yescharacteristic
918#385C22×C13911yescharacteristic
919#383C22×C13911yescharacteristic
920#382C22×C13911yescharacteristic
921#381C22×C13911yescharacteristic
922#380C22×C13911yescharacteristic
923C4×C4⋊C4C22×C13911yescharacteristic
924C4×C4⋊C4C22×C13911yescharacteristic
925C4×C4⋊C4C22×C13911yescharacteristic
926C4×C4⋊C4C22×C13911yescharacteristic
927C4×C4⋊C4C22×C13911yescharacteristic
928C4×C4⋊C4C22×C13911yescharacteristic
929C4×C4⋊C4C22×C13911yescharacteristic
930C4×C4⋊C4C22×C13911yescharacteristic
931C4×C22⋊C4C22×C13911yescharacteristic
932C4×C22⋊C4C22×C13911yescharacteristic
933C4×C22⋊C4C22×C13911yescharacteristic
934C4×C22⋊C4C22×C13911yescharacteristic
935C4×C22⋊C4C22×C13911yescharacteristic
936C4×C22⋊C4C22×C13911yescharacteristic
937C4×C22⋊C4C22×C13911yescharacteristic
938C4×C22⋊C4C22×C13911yescharacteristic
939C4×C22⋊C4C22×C13911yescharacteristic
940C4×C22⋊C4C22×C13911yescharacteristic
941C4×C22⋊C4C22×C13911yescharacteristic
942C4×C22⋊C4C22×C13911yescharacteristic
943C4×C22⋊C4C22×C13911yescharacteristic
944C4×C22⋊C4C22×C13911yescharacteristic
945C4×C22⋊C4C22×C13911yescharacteristic
946C4×C22⋊C4C22×C13911yescharacteristic
947C4×C22⋊C4C22×C13911yescharacteristic
948C4×C22⋊C4C22×C13911yescharacteristic
949#376C22×C13911yescharacteristic
950C43C22×C13911yescharacteristic
951C2×#41—24no—
952C2×#41—42no—
953C2×#41—42no—
954C22×Q8C23×C13911yescharacteristic
955C22×Q8C23×C13911yescharacteristic
956C22×D4C23×C13911yescharacteristic
957C22×D4C23×C13911yescharacteristic
958C22×D4C23×C13911yescharacteristic
959C22×D4C23×C13911yescharacteristic
960C22×D4C23×C13911yescharacteristic
961C22×D4C23×C13911yescharacteristic
962C22×D4C23×C13911yescharacteristic
963C22×D4C23×C13911yescharacteristic
964C22×D4C23×C13911yescharacteristic
965C22×D4C23×C13911yescharacteristic
966C23×C4C23×C13911yescharacteristic
967C23×C4C23×C13911yescharacteristic
968C23×C4C23×C13911yescharacteristic
969C23×C4C23×C13911yescharacteristic
970C23×C4C23×C13911yescharacteristic
971C23×C4C23×C13911yescharacteristic
972C23×C4C23×C13911yescharacteristic
973C23×C4C23×C13911yescharacteristic
974C23×C4C23×C13911yescharacteristic
975#126—24no—
976#124—24no—
977#123—24no—
978#121—24no—
979C4×Q8—42no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989#117—42no—
990#117—42no—
991C2×C4⋊C4C23×C13911yescharacteristic
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C4⋊C4C23×C13911yescharacteristic
999C2×C4⋊C4C23×C13911yescharacteristic
1000C2×C4⋊C4C23×C13911yescharacteristic
1001C2×C4⋊C4C23×C13911yescharacteristic
1002C2×C4⋊C4C23×C13911yescharacteristic
1003C2×C4⋊C4C23×C13911yescharacteristic
1004C2×C4⋊C4C23×C13911yescharacteristic
1005C2×C4⋊C4C23×C13911yescharacteristic
1006C2×C4⋊C4C23×C13911yescharacteristic
1007C2×C4⋊C4C23×C13911yescharacteristic
1008C2×C4⋊C4C23×C13911yescharacteristic
1009C2×C4⋊C4C23×C13911yescharacteristic
1010C2×C4⋊C4C23×C13911yescharacteristic
1011C2×C4⋊C4C23×C13911yescharacteristic
1012C2×C4⋊C4C23×C13911yescharacteristic
1013C2×C4⋊C4C23×C13911yescharacteristic
1014C2×C4⋊C4C23×C13911yescharacteristic
1015C2×C4⋊C4C23×C13911yescharacteristic
1016C2×C4⋊C4C23×C13911yescharacteristic
1017C2×C22⋊C4C23×C13911yescharacteristic
1018C2×C22⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C22⋊C4C23×C13911yescharacteristic
1026C2×C22⋊C4C23×C13911yescharacteristic
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×C22⋊C4C23×C13911yescharacteristic
1053C2×C22⋊C4C23×C13911yescharacteristic
1054C2×C22⋊C4C23×C13911yescharacteristic
1055C2×C22⋊C4C23×C13911yescharacteristic
1056C2×C22⋊C4C23×C13911yescharacteristic
1057C2×C22⋊C4C23×C13911yescharacteristic
1058C2×C22⋊C4C23×C13911yescharacteristic
1059C2×C22⋊C4C23×C13911yescharacteristic
1060C2×C22⋊C4C23×C13911yescharacteristic
1061C2×C22⋊C4C23×C13911yescharacteristic
1062C2×C22⋊C4C23×C13911yescharacteristic
1063C2×C42—42no—
1064C2×C42—42no—
1065C2×C42C23×C13911yescharacteristic
1066C2×C42C23×C13911yescharacteristic
1067C2×C42C23×C13911yescharacteristic
1068C2×C42C23×C13911yescharacteristic
1069C2×C42C23×C13911yescharacteristic
1070C2×C42C23×C13911yescharacteristic
1071C2×C42C23×C13911yescharacteristic
1072C2×C42C23×C13911yescharacteristic
1073C2×C42C23×C13911yescharacteristic
1074C2×C42C23×C13911yescharacteristic
1075C2×C42C23×C13911yescharacteristic
1076C2×C42C23×C13911yescharacteristic
1077C2×C42C23×C13911yescharacteristic
1078C2×C42C23×C13911yescharacteristic
1079C2×C42C23×C13911yescharacteristic
1080C2×C42C23×C13911yescharacteristic
1081C2×C42C23×C13911yescharacteristic
1082C2×C42C23×C13911yescharacteristic
1083#95C23×C13911yescharacteristic
1084#95C23×C13911yescharacteristic
1085#95C23×C13911yescharacteristic
1086#95C23×C13911yescharacteristic
1087#95C23×C13911yescharacteristic
1088#95C23×C13911yescharacteristic
1089#95C23×C13911yescharacteristic
1090#95C23×C13911yescharacteristic
1091#95C23×C13911yescharacteristic
1092#95C23×C13911yescharacteristic
1093#95C23×C13911yescharacteristic
1094#95C23×C13911yescharacteristic
1095#95C23×C13911yescharacteristic
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110#95C23×C13911yescharacteristic
1111#95C23×C13911yescharacteristic
1112#95C23×C13911yescharacteristic
1113#95C23×C13911yescharacteristic
1114#95C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127C24C24×C13911yescharacteristic
1128C24C24×C13911yescharacteristic
1129C24C24×C13911yescharacteristic
1130C24C24×C13911yescharacteristic
1131C24C24×C13911yescharacteristic
1132#41—416no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4#41×C13914yes—
1195C22×C4#41×C13914yescomplemented
1196C22×C4C24×C13911yescharacteristic
1197C22×C4C24×C13911yescharacteristic
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
1200C22×C4C24×C13911yescharacteristic
1201C22×C4C24×C13911yescharacteristic
1202C22×C4C24×C13911yescharacteristic
1203C22×C4C24×C13911yescharacteristic
1204C22×C4C24×C13911yescharacteristic
1205C22×C4C24×C13911yescharacteristic
1206C22×C4C24×C13911yescharacteristic
1207C22×C4C24×C13911yescharacteristic
1208C22×C4C24×C13911yescharacteristic
1209C22×C4C24×C13911yescharacteristic
1210C22×C4C24×C13911yescharacteristic
1211C22×C4C24×C13911yescharacteristic
1212C22×C4C24×C13911yescharacteristic
1213C22×C4C24×C13911yescharacteristic
1214C22×C4C24×C13911yescharacteristic
1215C22×C4C24×C13911yescharacteristic
1216C22×C4C24×C13911yescharacteristic
1217C22×C4C24×C13911yescharacteristic
1218C22×C4C24×C13911yescharacteristic
1219C22×C4C24×C13911yescharacteristic
1220C22×C4C24×C13911yescharacteristic
1221C22×C4C24×C13911yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42#41×C13914yescomplemented
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23C2×#41×C13912yes—
1346C23C2×#41×C13912yes—
1347C23C25×C13911yescharacteristic
1348Q8—44no—
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353D4—44no—
1354D4—44no—
1355D4—44no—
1356D4—44no—
1357D4—44no—
1358D4—44no—
1359D4—44no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—28no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4C2×#41×C13912yes—
1439C2×C4C2×#41×C13912yes—
1440C2×C4C2×#41×C13912yes—
1441C2×C4C2×#41×C13912yes—
1442C2×C4C2×#41×C13912yes—
1443C2×C4C2×#41×C13912yes—
1444C2×C4C2×#41×C13912yes—
1445C2×C4H(5,𝔽2)×C13912yes—
1446C2×C4H(5,𝔽2)×C13912yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22C22×#41×C13911yescharacteristic
1483C22C22×#41×C13911yescharacteristic
1484C22C22×#41×C13911yescharacteristic
1485C22C2×H(5,𝔽2)×C13911yescharacteristic
1486C22C2×H(5,𝔽2)×C13911yescharacteristic
1487C22#585×C13911yescharacteristic
1488C22#585×C13911yescharacteristic
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4#538×C13914yes—
1515C2—42no—
1516C2—42no—
1517C2—81no—
1518C2—81no—
1519C2—81no—
1520C2#3444×C13911yescharacteristic
1521C2C2×#538×C13911yescharacteristic
1522C2#3455×C13911yescharacteristic
1523C2#3459×C13911yescharacteristic
1524C2#3460×C13911yescharacteristic
1525C2#3460×C13911yescharacteristic
1526C2#3460×C13911yescharacteristic
subgroupG/H
centerC22×C4×C139C24
commutator, Frattini, cosocleC23C25×C139
socleC23×C139C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2666×C139C2semidirect
2. #2665×C139C2semidirect
3. #2662×C139C2semidirect
4. #2661×C139C2semidirect
5. #2653×C139C2semidirect
6. #2653×C139C2semidirect
7. #2651×C139C2semidirect
8. #2650×C139C2semidirect
9. #2649×C139C2semidirect
10. #2648×C139C2semidirect
11. #2648×C139C2semidirect
12. #2648×C139C2semidirect
13. #2636×C139C2semidirect
14. #2635×C139C2semidirect
15. #2631×C139C2semidirect
16. #2630×C139C2semidirect
17. #2401×C139C2semidirect
18. #2398×C139C2semidirect
19. #2396×C139C2semidirect
20. #2395×C139C2semidirect
21. #2392×C139C2semidirect
22. #2392×C139C2semidirect
23. #2388×C139C2semidirect
24. #2388×C139C2semidirect
25. C4×#126×C139C2semidirect
26. C4×#124×C139C2semidirect
27. C4×#123×C139C2semidirect
28. C4×#121×C139C2semidirect
29. #2297×C139C2semidirect
30. #2290×C139C2semidirect
31. C42×D4×C139C2semidirect
431. C22×C4×C139#41semidirect
547. C42×C139#41semidirect
763. #34589C139direct (N × H)
764. C139#34589direct (N × H)
765. #2666C2×C139semidirect
766. #2665C2×C139semidirect
767. #2662C2×C139semidirect
768. #2661C2×C139semidirect
769. #2653C2×C139semidirect
770. #2653C2×C139semidirect
771. #2651C2×C139semidirect
772. #2650C2×C139semidirect
773. #2649C2×C139semidirect
774. #2648C2×C139semidirect
775. #2648C2×C139semidirect
776. #2648C2×C139semidirect
777. #2636C2×C139semidirect
778. #2635C2×C139semidirect
779. #2631C2×C139semidirect
780. #2630C2×C139semidirect
781. #2401C2×C139semidirect
782. #2398C2×C139semidirect
783. #2396C2×C139semidirect
784. #2395C2×C139semidirect
785. #2392C2×C139semidirect
786. #2392C2×C139semidirect
787. #2388C2×C139semidirect
788. #2388C2×C139semidirect
789. C4×#126C2×C139semidirect
790. C4×#124C2×C139semidirect
791. C4×#123C2×C139semidirect
792. C4×#121C2×C139semidirect
793. #2297C2×C139semidirect
794. #2290C2×C139semidirect
795. C42×D4C2×C139semidirect
1195. C22×C4#41×C139semidirect
1311. C42#41×C139semidirect

Maximal subgroups

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

subgroupindex
#2666×C1392
#2665×C1392
#2662×C1392
#2661×C1392
#2653×C1392
#2651×C1392
#2650×C1392
#2649×C1392
#2648×C1392
#2636×C1392
#2635×C1392
#2631×C1392
#2630×C1392
#2401×C1392
#2398×C1392
#2396×C1392
#2395×C1392
#2392×C1392
#2388×C1392
C4×#126×C1392
C4×#124×C1392
C4×#123×C1392
C4×#121×C1392
#2297×C1392
#2290×C1392
C42×D4×C1392
#34589139