Finite Group Databasebeta

← C139×#35053 #48029649

Subgroups — C139×#35053 #48029649

Order 35584.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2852×C139C211yesmaximal, characteristic, complemented
2#2850×C139C211yesmaximal, characteristic, complemented
3#2849×C139C211yesmaximal, characteristic, complemented
4#2847×C139C211yesmaximal, characteristic, complemented
5#2665×C139C211yesmaximal, characteristic, complemented
6#2661×C139C211yesmaximal, characteristic, complemented
7#2653×C139C211yesmaximal, characteristic, complemented
8#2648×C139C211yesmaximal, characteristic, complemented
9#2578×C139C211yesmaximal, characteristic, complemented
10#2576×C139C211yesmaximal, characteristic, complemented
11#2574×C139C211yesmaximal, characteristic, complemented
12#2572×C139C211yesmaximal, characteristic, complemented
13#2559×C139C211yesmaximal, characteristic, complemented
14#2557×C139C211yesmaximal, characteristic, complemented
15#2555×C139C211yesmaximal, characteristic, complemented
16#2554×C139C211yesmaximal, characteristic, complemented
17#2510×C139C211yesmaximal, characteristic, complemented
18#2472×C139C211yesmaximal, characteristic, complemented
19#2444×C139C211yesmaximal, characteristic, complemented
20#2438×C139C211yesmaximal, characteristic, complemented
21#2430×C139C211yesmaximal, characteristic, complemented
22#2424×C139C211yesmaximal, characteristic, complemented
23#2411×C139C211yesmaximal, characteristic, complemented
24#2404×C139C211yesmaximal, characteristic, complemented
25#2337×C139C211yesmaximal, characteristic, complemented
26#2335×C139C211yesmaximal, characteristic, complemented
27#2333×C139C211yesmaximal, characteristic, complemented
28#2333×C139C211yesmaximal, characteristic, complemented
29C4×#123×C139C211yesmaximal, characteristic, complemented
30#2297×C139C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C139C211yesmaximal, characteristic, complemented
32C22×#41×C139C2211yescharacteristic
33C24×C4×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic, complemented
35C2×#124×C139C2211yescharacteristic
36C2×#124×C139C2211yescharacteristic, complemented
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×#123×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic
41C2×#121×C139C2211yescharacteristic
42C2×#121×C139C2211yescharacteristic
43C2×#121×C139C2211yescharacteristic
44C2×#121×C139C2211yescharacteristic
45C2×#121×C139C2211yescharacteristic
46C2×#120×C139C2211yescharacteristic
47C2×#120×C139C2211yescharacteristic
48C2×#120×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic
50C2×#117×C139C2211yescharacteristic
51C22×C22⋊C4×C139C2211yescharacteristic
52C22×C22⋊C4×C139C2211yescharacteristic
53C22×C42×C139C2211yescharacteristic
54C22×C42×C139C2211yescharacteristic
55#401×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#400×C139C2211yescharacteristic, complemented
58#400×C139C2211yescharacteristic, complemented
59#398×C139C2211yescharacteristic, complemented
60#398×C139C2211yescharacteristic, complemented
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic, complemented
63#397×C139C2211yescharacteristic, complemented
64#397×C139C2211yescharacteristic, complemented
65#397×C139C2211yescharacteristic, complemented
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#396×C139C2211yescharacteristic
69#395×C139C2211yescharacteristic, complemented
70#395×C139C2211yescharacteristic, complemented
71#394×C139C2211yescharacteristic
72#394×C139C2211yescharacteristic
73#394×C139C2211yescharacteristic
74#394×C139C2211yescharacteristic
75#394×C139C2211yescharacteristic
76#394×C139C2211yescharacteristic
77#394×C139C2211yescharacteristic, complemented
78#394×C139C2211yescharacteristic, complemented
79#393×C139C2211yescharacteristic
80#393×C139C2211yescharacteristic
81#393×C139C2211yescharacteristic
82#393×C139C2211yescharacteristic, complemented
83#392×C139C2211yescharacteristic
84#392×C139C2211yescharacteristic
85#392×C139C2211yescharacteristic
86#392×C139C2211yescharacteristic, complemented
87#391×C139C2211yescharacteristic, complemented
88#391×C139C2211yescharacteristic, complemented
89#391×C139C2211yescharacteristic, complemented
90#391×C139C2211yescharacteristic, complemented
91#390×C139C2211yescharacteristic
92#390×C139C2211yescharacteristic
93#390×C139C2211yescharacteristic
94#390×C139C2211yescharacteristic
95#390×C139C2211yescharacteristic, complemented
96#390×C139C2211yescharacteristic, complemented
97#390×C139C2211yescharacteristic, complemented
98#389×C139C2211yescharacteristic, complemented
99#388×C139C2211yescharacteristic
100#388×C139C2211yescharacteristic
101#388×C139C2211yescharacteristic
102#388×C139C2211yescharacteristic
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic, complemented
105#388×C139C2211yescharacteristic, complemented
106#388×C139C2211yescharacteristic, complemented
107#388×C139C2211yescharacteristic, complemented
108#388×C139C2211yescharacteristic, complemented
109#388×C139C2211yescharacteristic, complemented
110#388×C139C2211yescharacteristic, complemented
111#388×C139C2211yescharacteristic, complemented
112#388×C139C2211yescharacteristic, complemented
113#388×C139C2211yescharacteristic, complemented
114#388×C139C2211yescharacteristic, complemented
115#388×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
118#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#386×C139C2211yescharacteristic
126#386×C139C2211yescharacteristic
127#386×C139C2211yescharacteristic
128#386×C139C2211yescharacteristic
129#386×C139C2211yescharacteristic
130#386×C139C2211yescharacteristic
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic
140#386×C139C2211yescharacteristic
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic, complemented
147#386×C139C2211yescharacteristic, complemented
148#386×C139C2211yescharacteristic, complemented
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic, complemented
156#385×C139C2211yescharacteristic, complemented
157#383×C139C2211yescharacteristic, complemented
158#383×C139C2211yescharacteristic, complemented
159#382×C139C2211yescharacteristic, complemented
160#381×C139C2211yescharacteristic
161#381×C139C2211yescharacteristic
162#381×C139C2211yescharacteristic
163#381×C139C2211yescharacteristic, complemented
164#380×C139C2211yescharacteristic
165#380×C139C2211yescharacteristic
166#380×C139C2211yescharacteristic
167#379×C139C2211yescharacteristic
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C4⋊C4×C139C2211yescharacteristic, complemented
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, complemented
180C4×C22⋊C4×C139C2211yescharacteristic, complemented
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184C4×C22⋊C4×C139C2211yescharacteristic, complemented
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C2×#41×C139—24no—
189C2×#41×C139—42no—
190C2×#41×C139—42no—
191C22×Q8×C139C2311yescharacteristic
192C22×Q8×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
204C22×D4×C139C2311yescharacteristic
205C23×C4×C139—24no—
206C23×C4×C139—42no—
207C23×C4×C139—42no—
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211C23×C4×C139C2311yescharacteristic
212C23×C4×C139C2311yescharacteristic
213C23×C4×C139C2311yescharacteristic
214C23×C4×C139C2311yescharacteristic
215C23×C4×C139C2311yescharacteristic
216C23×C4×C139C2311yescharacteristic
217C23×C4×C139C2311yescharacteristic
218C23×C4×C139C2311yescharacteristic
219C23×C4×C139C2311yescharacteristic
220C23×C4×C139C2311yescharacteristic
221#126×C139—42no—
222#124×C139—24no—
223#124×C139—42no—
224#123×C139—24no—
225#123×C139—24no—
226#123×C139—42no—
227C22⋊Q8×C139—42no—
228#121×C139—24no—
229#121×C139—24no—
230#121×C139—42no—
231#121×C139—42no—
232#121×C139—42no—
233#120×C139—42no—
234#120×C139—42no—
235#120×C139—42no—
236C4×D4×C139—42no—
237#117×C139—42no—
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×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139—24no—
259C2×C22⋊C4×C139—24no—
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×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×C42×C139—42no—
311C2×C42×C139—42no—
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323C2×C42×C139C2311yescharacteristic
324C2×C42×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
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369C24×C139—22no—
370C24×C139—22no—
371C24×C139—22no—
372C24×C139—22no—
373C24×C139—22no—
374C24×C139—41no—
375C24×C139—41no—
376C24×C139C2411yescharacteristic
377C24×C139C2411yescharacteristic
378C24×C139C2411yescharacteristic
379C24×C139C2411yescharacteristic
380C24×C139C2411yescharacteristic
381C24×C139C2411yescharacteristic
382#41×C139—416no—
383C2×Q8×C139—22no—
384C2×Q8×C139—22no—
385C2×Q8×C139—41no—
386C2×Q8×C139—41no—
387C2×Q8×C139—41no—
388C2×Q8×C139—41no—
389C2×D4×C139—22no—
390C2×D4×C139—22no—
391C2×D4×C139—22no—
392C2×D4×C139—22no—
393C2×D4×C139—22no—
394C2×D4×C139—22no—
395C2×D4×C139—22no—
396C2×D4×C139—22no—
397C2×D4×C139—22no—
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—41no—
408C2×D4×C139—41no—
409C2×D4×C139—41no—
410C2×D4×C139—41no—
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—
425C22×C4×C139—22no—
426C22×C4×C139—22no—
427C22×C4×C139—22no—
428C22×C4×C139—22no—
429C22×C4×C139—22no—
430C22×C4×C139—22no—
431C22×C4×C139—22no—
432C22×C4×C139—22no—
433C22×C4×C139—22no—
434C22×C4×C139—22no—
435C22×C4×C139—22no—
436C22×C4×C139—22no—
437C22×C4×C139—22no—
438C22×C4×C139—22no—
439C22×C4×C139—22no—
440C22×C4×C139—22no—
441C22×C4×C139—22no—
442C22×C4×C139—22no—
443C22×C4×C139—22no—
444C22×C4×C139—22no—
445C22×C4×C139—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×C139—41no—
460C22×C4×C139—41no—
461C22×C4×C139—41no—
462C22×C4×C139—416no—
463C22×C4×C139#4114yes—
464C22×C4×C139#4114yescomplemented
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
467C22×C4×C139C2411yescharacteristic
468C22×C4×C139C2411yescharacteristic
469C22×C4×C139C2411yescharacteristic
470C22×C4×C139C2411yescharacteristic
471C22×C4×C139C2411yescharacteristic
472C22×C4×C139C2411yescharacteristic
473C22×C4×C139C2411yescharacteristic
474C22×C4×C139C2411yescharacteristic
475C22×C4×C139C2411yescharacteristic
476C22×C4×C139C2411yescharacteristic
477C22×C4×C139C2411yescharacteristic
478C22×C4×C139C2411yescharacteristic
479C22×C4×C139C2411yescharacteristic
480C22×C4×C139C2411yescharacteristic
481C22×C4×C139C2411yescharacteristic
482C22×C4×C139C2411yescharacteristic
483C22×C4×C139C2411yescharacteristic
484C22×C4×C139C2411yescharacteristic
485C22×C4×C139C2411yescharacteristic
486C22×C4×C139C2411yescharacteristic
487C22×C4×C139C2411yescharacteristic
488C22×C4×C139C2411yescharacteristic
489C22×C4×C139C2411yescharacteristic
490C4⋊C4×C139—22no—
491C4⋊C4×C139—22no—
492C4⋊C4×C139—22no—
493C4⋊C4×C139—22no—
494C4⋊C4×C139—22no—
495C4⋊C4×C139—22no—
496C4⋊C4×C139—22no—
497C4⋊C4×C139—41no—
498C4⋊C4×C139—41no—
499C4⋊C4×C139—41no—
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—
510C22⋊C4×C139—22no—
511C22⋊C4×C139—22no—
512C22⋊C4×C139—22no—
513C22⋊C4×C139—22no—
514C22⋊C4×C139—22no—
515C22⋊C4×C139—22no—
516C22⋊C4×C139—22no—
517C22⋊C4×C139—22no—
518C22⋊C4×C139—22no—
519C22⋊C4×C139—22no—
520C22⋊C4×C139—22no—
521C22⋊C4×C139—22no—
522C22⋊C4×C139—22no—
523C22⋊C4×C139—22no—
524C22⋊C4×C139—22no—
525C22⋊C4×C139—22no—
526C22⋊C4×C139—22no—
527C22⋊C4×C139—22no—
528C22⋊C4×C139—22no—
529C22⋊C4×C139—22no—
530C22⋊C4×C139—22no—
531C22⋊C4×C139—22no—
532C22⋊C4×C139—22no—
533C22⋊C4×C139—22no—
534C22⋊C4×C139—22no—
535C22⋊C4×C139—22no—
536C22⋊C4×C139—41no—
537C22⋊C4×C139—41no—
538C22⋊C4×C139—41no—
539C22⋊C4×C139—41no—
540C22⋊C4×C139—41no—
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#4114yescomplemented
560C42×C139—22no—
561C42×C139—22no—
562C42×C139—22no—
563C42×C139—41no—
564C42×C139—41no—
565C42×C139—41no—
566C42×C139—41no—
567C42×C139—41no—
568C42×C139—41no—
569C42×C139—41no—
570C42×C139—41no—
571C42×C139—41no—
572C42×C139—41no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—28no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—21no—
592C23×C139—21no—
593C23×C139—21no—
594C23×C139—21no—
595C23×C139—21no—
596C23×C139—21no—
597C23×C139—21no—
598C23×C139—21no—
599C23×C139—21no—
600C23×C139—21no—
601C23×C139—21no—
602C23×C139—21no—
603C23×C139—21no—
604C23×C139—21no—
605C23×C139—21no—
606C23×C139—21no—
607C23×C139—21no—
608C23×C139—21no—
609C23×C139—21no—
610C23×C139—21no—
611C23×C139—44no—
612C23×C139—44no—
613C23×C139—44no—
614C23×C139—44no—
615C23×C139—44no—
616C23×C139—44no—
617C23×C139C2×#4112yes—
618C23×C139C2×#4112yes—
619C23×C139C2×#4112yes—
620C23×C139H(5,𝔽2)12yes—
621C23×C139H(5,𝔽2)12yes—
622C23×C139C2511yescharacteristic
623Q8×C139—44no—
624Q8×C139—82no—
625D4×C139—44no—
626D4×C139—44no—
627D4×C139—44no—
628D4×C139—44no—
629D4×C139—82no—
630D4×C139—82no—
631D4×C139—82no—
632D4×C139—82no—
633D4×C139—82no—
634D4×C139—82no—
635D4×C139—82no—
636D4×C139—82no—
637C2×C4×C139—28no—
638C2×C4×C139—28no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—21no—
663C2×C4×C139—21no—
664C2×C4×C139—21no—
665C2×C4×C139—21no—
666C2×C4×C139—21no—
667C2×C4×C139—21no—
668C2×C4×C139—21no—
669C2×C4×C139—21no—
670C2×C4×C139—21no—
671C2×C4×C139—21no—
672C2×C4×C139—21no—
673C2×C4×C139—21no—
674C2×C4×C139—21no—
675C2×C4×C139—21no—
676C2×C4×C139—21no—
677C2×C4×C139—21no—
678C2×C4×C139—21no—
679C2×C4×C139—21no—
680C2×C4×C139—21no—
681C2×C4×C139—21no—
682C2×C4×C139—21no—
683C2×C4×C139—21no—
684C2×C4×C139—21no—
685C2×C4×C139—21no—
686C2×C4×C139—21no—
687C2×C4×C139—21no—
688C2×C4×C139—21no—
689C2×C4×C139—21no—
690C2×C4×C139—21no—
691C2×C4×C139—21no—
692C2×C4×C139—21no—
693C2×C4×C139—21no—
694C2×C4×C139—21no—
695C2×C4×C139—21no—
696C2×C4×C139—21no—
697C2×C4×C139—21no—
698C2×C4×C139—21no—
699C2×C4×C139—21no—
700C2×C4×C139—21no—
701C2×C4×C139—21no—
702C2×C4×C139—21no—
703C2×C4×C139—21no—
704C2×C4×C139—21no—
705C2×C4×C139—21no—
706C2×C4×C139—21no—
707C2×C4×C139—44no—
708C2×C4×C139—44no—
709C2×C4×C139—44no—
710C2×C4×C139—44no—
711C2×C4×C139—44no—
712C2×C4×C139—44no—
713C2×C4×C139—44no—
714C2×C4×C139—44no—
715C2×C4×C139—44no—
716C2×C4×C139—44no—
717C2×C4×C139—82no—
718C2×C4×C139C2×#4112yes—
719C2×C4×C139C2×#4112yes—
720C2×C4×C139C2×#4112yes—
721C2×C4×C139C2×#4112yes—
722C2×C4×C139C2×#4112yes—
723C2×C4×C139C2×#4112yes—
724C2×C4×C139H(5,𝔽2)12yes—
725C22×C139—22no—
726C22×C139—22no—
727C22×C139—22no—
728C22×C139—22no—
729C22×C139—22no—
730C22×C139—22no—
731C22×C139—22no—
732C22×C139—22no—
733C22×C139—22no—
734C22×C139—22no—
735C22×C139—22no—
736C22×C139—22no—
737C22×C139—416no—
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#53814yes—
768C22×C139C22×#4111yescharacteristic
769C22×C139C22×#4111yescharacteristic
770C22×C139C22×#4111yescharacteristic
771C22×C139C2×H(5,𝔽2)11yescharacteristic
772C22×C139C2×H(5,𝔽2)11yescharacteristic
773C22×C139C2×H(5,𝔽2)11yescharacteristic
774C22×C139#58511yescharacteristic
775C4×C139—22no—
776C4×C139—22no—
777C4×C139—22no—
778C4×C139—22no—
779C4×C139—22no—
780C4×C139—22no—
781C4×C139—22no—
782C4×C139—41no—
783C4×C139—41no—
784C4×C139—41no—
785C4×C139—41no—
786C4×C139—41no—
787C4×C139—41no—
788C4×C139—41no—
789C4×C139—41no—
790C4×C139—41no—
791C4×C139—41no—
792C4×C139—41no—
793C4×C139—41no—
794C4×C139—41no—
795C4×C139—41no—
796C4×C139—41no—
797C4×C139—41no—
798C4×C139—41no—
799C4×C139—41no—
800C2×C139—24no—
801C2×C139—42no—
802C2×C139—42no—
803C2×C139—81no—
804C2×C139—81no—
805C2×C139—81no—
806C2×C139#344411yescharacteristic
807C2×C139C2×#53811yescharacteristic
808C2×C139#346011yescharacteristic
809C2×C139#349011yescharacteristic
810C2×C139#349411yescharacteristic
811C2×C139#351311yescharacteristic
812C2×C139#351911yescharacteristic
813#35053C13911yesmaximal, characteristic, direct product factor, Sylow
814C139#3505311yescharacteristic, direct product factor, Sylow
815#2852C2×C13911yescharacteristic, complemented
816#2850C2×C13911yescharacteristic, complemented
817#2849C2×C13911yescharacteristic, complemented
818#2847C2×C13911yescharacteristic, complemented
819#2665C2×C13911yescharacteristic, complemented
820#2661C2×C13911yescharacteristic, complemented
821#2653C2×C13911yescharacteristic, complemented
822#2648C2×C13911yescharacteristic, complemented
823#2578C2×C13911yescharacteristic, complemented
824#2576C2×C13911yescharacteristic, complemented
825#2574C2×C13911yescharacteristic, complemented
826#2572C2×C13911yescharacteristic, complemented
827#2559C2×C13911yescharacteristic, complemented
828#2557C2×C13911yescharacteristic, complemented
829#2555C2×C13911yescharacteristic, complemented
830#2554C2×C13911yescharacteristic, complemented
831#2510C2×C13911yescharacteristic, complemented
832#2472C2×C13911yescharacteristic, complemented
833#2444C2×C13911yescharacteristic, complemented
834#2438C2×C13911yescharacteristic, complemented
835#2430C2×C13911yescharacteristic, complemented
836#2424C2×C13911yescharacteristic, complemented
837#2411C2×C13911yescharacteristic, complemented
838#2404C2×C13911yescharacteristic, complemented
839#2337C2×C13911yescharacteristic, complemented
840#2335C2×C13911yescharacteristic, complemented
841#2333C2×C13911yescharacteristic, complemented
842#2333C2×C13911yescharacteristic, complemented
843C4×#123C2×C13911yescharacteristic, complemented
844#2297C2×C13911yescharacteristic, complemented
845C2×C4×C22⋊C4C2×C13911yescharacteristic, complemented
846C22×#41C22×C13911yescharacteristic
847C24×C4C22×C13911yescharacteristic
848C2×#126C22×C13911yescharacteristic, complemented
849C2×#124C22×C13911yescharacteristic
850C2×#124C22×C13911yescharacteristic, complemented
851C2×#123C22×C13911yescharacteristic
852C2×#123C22×C13911yescharacteristic
853C2×#123C22×C13911yescharacteristic
854C2×C22⋊Q8C22×C13911yescharacteristic
855C2×#121C22×C13911yescharacteristic
856C2×#121C22×C13911yescharacteristic
857C2×#121C22×C13911yescharacteristic
858C2×#121C22×C13911yescharacteristic
859C2×#121C22×C13911yescharacteristic
860C2×#120C22×C13911yescharacteristic
861C2×#120C22×C13911yescharacteristic
862C2×#120C22×C13911yescharacteristic
863C2×C4×D4C22×C13911yescharacteristic
864C2×#117C22×C13911yescharacteristic
865C22×C22⋊C4C22×C13911yescharacteristic
866C22×C22⋊C4C22×C13911yescharacteristic
867C22×C42C22×C13911yescharacteristic
868C22×C42C22×C13911yescharacteristic
869#401C22×C13911yescharacteristic, complemented
870#400C22×C13911yescharacteristic, complemented
871#400C22×C13911yescharacteristic, complemented
872#400C22×C13911yescharacteristic, complemented
873#398C22×C13911yescharacteristic, complemented
874#398C22×C13911yescharacteristic, complemented
875#397C22×C13911yescharacteristic
876#397C22×C13911yescharacteristic, complemented
877#397C22×C13911yescharacteristic, complemented
878#397C22×C13911yescharacteristic, complemented
879#397C22×C13911yescharacteristic, complemented
880#396C22×C13911yescharacteristic
881#396C22×C13911yescharacteristic
882#396C22×C13911yescharacteristic
883#395C22×C13911yescharacteristic, complemented
884#395C22×C13911yescharacteristic, complemented
885#394C22×C13911yescharacteristic
886#394C22×C13911yescharacteristic
887#394C22×C13911yescharacteristic
888#394C22×C13911yescharacteristic
889#394C22×C13911yescharacteristic
890#394C22×C13911yescharacteristic
891#394C22×C13911yescharacteristic, complemented
892#394C22×C13911yescharacteristic, complemented
893#393C22×C13911yescharacteristic
894#393C22×C13911yescharacteristic
895#393C22×C13911yescharacteristic
896#393C22×C13911yescharacteristic, complemented
897#392C22×C13911yescharacteristic
898#392C22×C13911yescharacteristic
899#392C22×C13911yescharacteristic
900#392C22×C13911yescharacteristic, complemented
901#391C22×C13911yescharacteristic, complemented
902#391C22×C13911yescharacteristic, complemented
903#391C22×C13911yescharacteristic, complemented
904#391C22×C13911yescharacteristic, complemented
905#390C22×C13911yescharacteristic
906#390C22×C13911yescharacteristic
907#390C22×C13911yescharacteristic
908#390C22×C13911yescharacteristic
909#390C22×C13911yescharacteristic, complemented
910#390C22×C13911yescharacteristic, complemented
911#390C22×C13911yescharacteristic, complemented
912#389C22×C13911yescharacteristic, complemented
913#388C22×C13911yescharacteristic
914#388C22×C13911yescharacteristic
915#388C22×C13911yescharacteristic
916#388C22×C13911yescharacteristic
917#388C22×C13911yescharacteristic
918#388C22×C13911yescharacteristic, complemented
919#388C22×C13911yescharacteristic, complemented
920#388C22×C13911yescharacteristic, complemented
921#388C22×C13911yescharacteristic, complemented
922#388C22×C13911yescharacteristic, complemented
923#388C22×C13911yescharacteristic, complemented
924#388C22×C13911yescharacteristic, complemented
925#388C22×C13911yescharacteristic, complemented
926#388C22×C13911yescharacteristic, complemented
927#388C22×C13911yescharacteristic, complemented
928#388C22×C13911yescharacteristic, complemented
929#388C22×C13911yescharacteristic, complemented
930#387C22×C13911yescharacteristic, complemented
931#387C22×C13911yescharacteristic, complemented
932#387C22×C13911yescharacteristic, complemented
933#387C22×C13911yescharacteristic, complemented
934#387C22×C13911yescharacteristic, complemented
935#387C22×C13911yescharacteristic, complemented
936#387C22×C13911yescharacteristic, complemented
937#387C22×C13911yescharacteristic, complemented
938#387C22×C13911yescharacteristic, complemented
939#386C22×C13911yescharacteristic
940#386C22×C13911yescharacteristic
941#386C22×C13911yescharacteristic
942#386C22×C13911yescharacteristic
943#386C22×C13911yescharacteristic
944#386C22×C13911yescharacteristic
945#386C22×C13911yescharacteristic
946#386C22×C13911yescharacteristic
947#386C22×C13911yescharacteristic
948#386C22×C13911yescharacteristic
949#386C22×C13911yescharacteristic
950#386C22×C13911yescharacteristic
951#386C22×C13911yescharacteristic
952#386C22×C13911yescharacteristic
953#386C22×C13911yescharacteristic
954#386C22×C13911yescharacteristic
955#386C22×C13911yescharacteristic
956#386C22×C13911yescharacteristic
957#386C22×C13911yescharacteristic
958#386C22×C13911yescharacteristic
959#386C22×C13911yescharacteristic
960#386C22×C13911yescharacteristic, complemented
961#386C22×C13911yescharacteristic, complemented
962#386C22×C13911yescharacteristic, complemented
963#385C22×C13911yescharacteristic
964#385C22×C13911yescharacteristic
965#385C22×C13911yescharacteristic
966#385C22×C13911yescharacteristic
967#385C22×C13911yescharacteristic
968#385C22×C13911yescharacteristic
969#385C22×C13911yescharacteristic, complemented
970#385C22×C13911yescharacteristic, complemented
971#383C22×C13911yescharacteristic, complemented
972#383C22×C13911yescharacteristic, complemented
973#382C22×C13911yescharacteristic, complemented
974#381C22×C13911yescharacteristic
975#381C22×C13911yescharacteristic
976#381C22×C13911yescharacteristic
977#381C22×C13911yescharacteristic, complemented
978#380C22×C13911yescharacteristic
979#380C22×C13911yescharacteristic
980#380C22×C13911yescharacteristic
981#379C22×C13911yescharacteristic
982C4×C4⋊C4C22×C13911yescharacteristic, complemented
983C4×C4⋊C4C22×C13911yescharacteristic, complemented
984C4×C22⋊C4C22×C13911yescharacteristic
985C4×C22⋊C4C22×C13911yescharacteristic
986C4×C22⋊C4C22×C13911yescharacteristic
987C4×C22⋊C4C22×C13911yescharacteristic
988C4×C22⋊C4C22×C13911yescharacteristic
989C4×C22⋊C4C22×C13911yescharacteristic
990C4×C22⋊C4C22×C13911yescharacteristic
991C4×C22⋊C4C22×C13911yescharacteristic
992C4×C22⋊C4C22×C13911yescharacteristic
993C4×C22⋊C4C22×C13911yescharacteristic, complemented
994C4×C22⋊C4C22×C13911yescharacteristic, complemented
995C4×C22⋊C4C22×C13911yescharacteristic, complemented
996C4×C22⋊C4C22×C13911yescharacteristic, complemented
997C4×C22⋊C4C22×C13911yescharacteristic, complemented
998C4×C22⋊C4C22×C13911yescharacteristic, complemented
999C2×#95C22×C13911yescharacteristic
1000C2×#95C22×C13911yescharacteristic
1001C25C23×C13911yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C13911yescharacteristic
1006C22×Q8C23×C13911yescharacteristic
1007C22×D4C23×C13911yescharacteristic
1008C22×D4C23×C13911yescharacteristic
1009C22×D4C23×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
1019C23×C4—24no—
1020C23×C4—42no—
1021C23×C4—42no—
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
1031C23×C4C23×C13911yescharacteristic
1032C23×C4C23×C13911yescharacteristic
1033C23×C4C23×C13911yescharacteristic
1034C23×C4C23×C13911yescharacteristic
1035#126—42no—
1036#124—24no—
1037#124—42no—
1038#123—24no—
1039#123—24no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—24no—
1043#121—24no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4C23×C13911yescharacteristic
1053C2×C4⋊C4C23×C13911yescharacteristic
1054C2×C4⋊C4C23×C13911yescharacteristic
1055C2×C4⋊C4C23×C13911yescharacteristic
1056C2×C4⋊C4C23×C13911yescharacteristic
1057C2×C4⋊C4C23×C13911yescharacteristic
1058C2×C4⋊C4C23×C13911yescharacteristic
1059C2×C4⋊C4C23×C13911yescharacteristic
1060C2×C4⋊C4C23×C13911yescharacteristic
1061C2×C4⋊C4C23×C13911yescharacteristic
1062C2×C4⋊C4C23×C13911yescharacteristic
1063C2×C4⋊C4C23×C13911yescharacteristic
1064C2×C4⋊C4C23×C13911yescharacteristic
1065C2×C4⋊C4C23×C13911yescharacteristic
1066C2×C4⋊C4C23×C13911yescharacteristic
1067C2×C4⋊C4C23×C13911yescharacteristic
1068C2×C4⋊C4C23×C13911yescharacteristic
1069C2×C4⋊C4C23×C13911yescharacteristic
1070C2×C4⋊C4C23×C13911yescharacteristic
1071C2×C4⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4C23×C13911yescharacteristic
1076C2×C22⋊C4C23×C13911yescharacteristic
1077C2×C22⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4C23×C13911yescharacteristic
1079C2×C22⋊C4C23×C13911yescharacteristic
1080C2×C22⋊C4C23×C13911yescharacteristic
1081C2×C22⋊C4C23×C13911yescharacteristic
1082C2×C22⋊C4C23×C13911yescharacteristic
1083C2×C22⋊C4C23×C13911yescharacteristic
1084C2×C22⋊C4C23×C13911yescharacteristic
1085C2×C22⋊C4C23×C13911yescharacteristic
1086C2×C22⋊C4C23×C13911yescharacteristic
1087C2×C22⋊C4C23×C13911yescharacteristic
1088C2×C22⋊C4C23×C13911yescharacteristic
1089C2×C22⋊C4C23×C13911yescharacteristic
1090C2×C22⋊C4C23×C13911yescharacteristic
1091C2×C22⋊C4C23×C13911yescharacteristic
1092C2×C22⋊C4C23×C13911yescharacteristic
1093C2×C22⋊C4C23×C13911yescharacteristic
1094C2×C22⋊C4C23×C13911yescharacteristic
1095C2×C22⋊C4C23×C13911yescharacteristic
1096C2×C22⋊C4C23×C13911yescharacteristic
1097C2×C22⋊C4C23×C13911yescharacteristic
1098C2×C22⋊C4C23×C13911yescharacteristic
1099C2×C22⋊C4C23×C13911yescharacteristic
1100C2×C22⋊C4C23×C13911yescharacteristic
1101C2×C22⋊C4C23×C13911yescharacteristic
1102C2×C22⋊C4C23×C13911yescharacteristic
1103C2×C22⋊C4C23×C13911yescharacteristic
1104C2×C22⋊C4C23×C13911yescharacteristic
1105C2×C22⋊C4C23×C13911yescharacteristic
1106C2×C22⋊C4C23×C13911yescharacteristic
1107C2×C22⋊C4C23×C13911yescharacteristic
1108C2×C22⋊C4C23×C13911yescharacteristic
1109C2×C22⋊C4C23×C13911yescharacteristic
1110C2×C22⋊C4C23×C13911yescharacteristic
1111C2×C22⋊C4C23×C13911yescharacteristic
1112C2×C22⋊C4C23×C13911yescharacteristic
1113C2×C22⋊C4C23×C13911yescharacteristic
1114C2×C22⋊C4C23×C13911yescharacteristic
1115C2×C22⋊C4C23×C13911yescharacteristic
1116C2×C22⋊C4C23×C13911yescharacteristic
1117C2×C22⋊C4C23×C13911yescharacteristic
1118C2×C22⋊C4C23×C13911yescharacteristic
1119C2×C22⋊C4C23×C13911yescharacteristic
1120C2×C22⋊C4C23×C13911yescharacteristic
1121C2×C22⋊C4C23×C13911yescharacteristic
1122C2×C22⋊C4C23×C13911yescharacteristic
1123C2×C22⋊C4C23×C13911yescharacteristic
1124C2×C42—42no—
1125C2×C42—42no—
1126C2×C42C23×C13911yescharacteristic
1127C2×C42C23×C13911yescharacteristic
1128C2×C42C23×C13911yescharacteristic
1129C2×C42C23×C13911yescharacteristic
1130C2×C42C23×C13911yescharacteristic
1131C2×C42C23×C13911yescharacteristic
1132C2×C42C23×C13911yescharacteristic
1133C2×C42C23×C13911yescharacteristic
1134C2×C42C23×C13911yescharacteristic
1135C2×C42C23×C13911yescharacteristic
1136C2×C42C23×C13911yescharacteristic
1137C2×C42C23×C13911yescharacteristic
1138C2×C42C23×C13911yescharacteristic
1139#95C23×C13911yescharacteristic
1140#95C23×C13911yescharacteristic
1141#95C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143#95C23×C13911yescharacteristic
1144#95C23×C13911yescharacteristic
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153#95C23×C13911yescharacteristic
1154#95C23×C13911yescharacteristic
1155#95C23×C13911yescharacteristic
1156#95C23×C13911yescharacteristic
1157#95C23×C13911yescharacteristic
1158#95C23×C13911yescharacteristic
1159#95C23×C13911yescharacteristic
1160#95C23×C13911yescharacteristic
1161#95C23×C13911yescharacteristic
1162#95C23×C13911yescharacteristic
1163#95C23×C13911yescharacteristic
1164#95C23×C13911yescharacteristic
1165#95C23×C13911yescharacteristic
1166#95C23×C13911yescharacteristic
1167#95C23×C13911yescharacteristic
1168#95C23×C13911yescharacteristic
1169#95C23×C13911yescharacteristic
1170#95C23×C13911yescharacteristic
1171#95C23×C13911yescharacteristic
1172#95C23×C13911yescharacteristic
1173#95C23×C13911yescharacteristic
1174#95C23×C13911yescharacteristic
1175#95C23×C13911yescharacteristic
1176#95C23×C13911yescharacteristic
1177#95C23×C13911yescharacteristic
1178#95C23×C13911yescharacteristic
1179#95C23×C13911yescharacteristic
1180#95C23×C13911yescharacteristic
1181#95C23×C13911yescharacteristic
1182#95C23×C13911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C13911yescharacteristic
1191C24C24×C13911yescharacteristic
1192C24C24×C13911yescharacteristic
1193C24C24×C13911yescharacteristic
1194C24C24×C13911yescharacteristic
1195C24C24×C13911yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
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—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
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—416no—
1277C22×C4#41×C13914yes—
1278C22×C4#41×C13914yescomplemented
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—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊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#41×C13914yescomplemented
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C13912yes—
1432C23C2×#41×C13912yes—
1433C23C2×#41×C13912yes—
1434C23H(5,𝔽2)×C13912yes—
1435C23H(5,𝔽2)×C13912yes—
1436C23C25×C13911yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—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—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4C2×#41×C13912yes—
1533C2×C4C2×#41×C13912yes—
1534C2×C4C2×#41×C13912yes—
1535C2×C4C2×#41×C13912yes—
1536C2×C4C2×#41×C13912yes—
1537C2×C4C2×#41×C13912yes—
1538C2×C4H(5,𝔽2)×C13912yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
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#538×C13914yes—
1582C22C22×#41×C13911yescharacteristic
1583C22C22×#41×C13911yescharacteristic
1584C22C22×#41×C13911yescharacteristic
1585C22C2×H(5,𝔽2)×C13911yescharacteristic
1586C22C2×H(5,𝔽2)×C13911yescharacteristic
1587C22C2×H(5,𝔽2)×C13911yescharacteristic
1588C22#585×C13911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2#3444×C13911yescharacteristic
1621C2C2×#538×C13911yescharacteristic
1622C2#3460×C13911yescharacteristic
1623C2#3490×C13911yescharacteristic
1624C2#3494×C13911yescharacteristic
1625C2#3513×C13911yescharacteristic
1626C2#3519×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. #2852×C139C2semidirect
2. #2850×C139C2semidirect
3. #2849×C139C2semidirect
4. #2847×C139C2semidirect
5. #2665×C139C2semidirect
6. #2661×C139C2semidirect
7. #2653×C139C2semidirect
8. #2648×C139C2semidirect
9. #2578×C139C2semidirect
10. #2576×C139C2semidirect
11. #2574×C139C2semidirect
12. #2572×C139C2semidirect
13. #2559×C139C2semidirect
14. #2557×C139C2semidirect
15. #2555×C139C2semidirect
16. #2554×C139C2semidirect
17. #2510×C139C2semidirect
18. #2472×C139C2semidirect
19. #2444×C139C2semidirect
20. #2438×C139C2semidirect
21. #2430×C139C2semidirect
22. #2424×C139C2semidirect
23. #2411×C139C2semidirect
24. #2404×C139C2semidirect
25. #2337×C139C2semidirect
26. #2335×C139C2semidirect
27. #2333×C139C2semidirect
28. #2333×C139C2semidirect
29. C4×#123×C139C2semidirect
30. #2297×C139C2semidirect
31. C2×C4×C22⋊C4×C139C2semidirect
34. C2×#126×C139C22semidirect
36. C2×#124×C139C22semidirect
55. #401×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #400×C139C22semidirect
59. #398×C139C22semidirect
60. #398×C139C22semidirect
62. #397×C139C22semidirect
63. #397×C139C22semidirect
64. #397×C139C22semidirect
65. #397×C139C22semidirect
69. #395×C139C22semidirect
70. #395×C139C22semidirect
77. #394×C139C22semidirect
78. #394×C139C22semidirect
82. #393×C139C22semidirect
86. #392×C139C22semidirect
87. #391×C139C22semidirect
88. #391×C139C22semidirect
89. #391×C139C22semidirect
90. #391×C139C22semidirect
95. #390×C139C22semidirect
96. #390×C139C22semidirect
97. #390×C139C22semidirect
98. #389×C139C22semidirect
104. #388×C139C22semidirect
105. #388×C139C22semidirect
106. #388×C139C22semidirect
107. #388×C139C22semidirect
108. #388×C139C22semidirect
109. #388×C139C22semidirect
110. #388×C139C22semidirect
111. #388×C139C22semidirect
112. #388×C139C22semidirect
113. #388×C139C22semidirect
114. #388×C139C22semidirect
115. #388×C139C22semidirect
116. #387×C139C22semidirect
117. #387×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
146. #386×C139C22semidirect
147. #386×C139C22semidirect
148. #386×C139C22semidirect
155. #385×C139C22semidirect
156. #385×C139C22semidirect
157. #383×C139C22semidirect
158. #383×C139C22semidirect
159. #382×C139C22semidirect
163. #381×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
169. C4×C4⋊C4×C139C22semidirect
179. C4×C22⋊C4×C139C22semidirect
180. C4×C22⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
184. C4×C22⋊C4×C139C22semidirect
464. C22×C4×C139#41semidirect
559. C22⋊C4×C139#41semidirect
813. #35053C139direct (N × H)
814. C139#35053direct (N × H)
815. #2852C2×C139semidirect
816. #2850C2×C139semidirect
817. #2849C2×C139semidirect
818. #2847C2×C139semidirect
819. #2665C2×C139semidirect
820. #2661C2×C139semidirect
821. #2653C2×C139semidirect
822. #2648C2×C139semidirect
823. #2578C2×C139semidirect
824. #2576C2×C139semidirect
825. #2574C2×C139semidirect
826. #2572C2×C139semidirect
827. #2559C2×C139semidirect
828. #2557C2×C139semidirect
829. #2555C2×C139semidirect
830. #2554C2×C139semidirect
831. #2510C2×C139semidirect
832. #2472C2×C139semidirect
833. #2444C2×C139semidirect
834. #2438C2×C139semidirect
835. #2430C2×C139semidirect
836. #2424C2×C139semidirect
837. #2411C2×C139semidirect
838. #2404C2×C139semidirect
839. #2337C2×C139semidirect
840. #2335C2×C139semidirect
841. #2333C2×C139semidirect
842. #2333C2×C139semidirect
843. C4×#123C2×C139semidirect
844. #2297C2×C139semidirect
845. C2×C4×C22⋊C4C2×C139semidirect
848. C2×#126C22×C139semidirect
850. C2×#124C22×C139semidirect
869. #401C22×C139semidirect
870. #400C22×C139semidirect
871. #400C22×C139semidirect
872. #400C22×C139semidirect
873. #398C22×C139semidirect
874. #398C22×C139semidirect
876. #397C22×C139semidirect
877. #397C22×C139semidirect
878. #397C22×C139semidirect
879. #397C22×C139semidirect
883. #395C22×C139semidirect
884. #395C22×C139semidirect
891. #394C22×C139semidirect
892. #394C22×C139semidirect
896. #393C22×C139semidirect
900. #392C22×C139semidirect
901. #391C22×C139semidirect
902. #391C22×C139semidirect
903. #391C22×C139semidirect
904. #391C22×C139semidirect
909. #390C22×C139semidirect
910. #390C22×C139semidirect
911. #390C22×C139semidirect
912. #389C22×C139semidirect
918. #388C22×C139semidirect
919. #388C22×C139semidirect
920. #388C22×C139semidirect
921. #388C22×C139semidirect
922. #388C22×C139semidirect
923. #388C22×C139semidirect
924. #388C22×C139semidirect
925. #388C22×C139semidirect
926. #388C22×C139semidirect
927. #388C22×C139semidirect
928. #388C22×C139semidirect
929. #388C22×C139semidirect
930. #387C22×C139semidirect
931. #387C22×C139semidirect
932. #387C22×C139semidirect
933. #387C22×C139semidirect
934. #387C22×C139semidirect
935. #387C22×C139semidirect
936. #387C22×C139semidirect
937. #387C22×C139semidirect
938. #387C22×C139semidirect
960. #386C22×C139semidirect
961. #386C22×C139semidirect
962. #386C22×C139semidirect
969. #385C22×C139semidirect
970. #385C22×C139semidirect
971. #383C22×C139semidirect
972. #383C22×C139semidirect
973. #382C22×C139semidirect
977. #381C22×C139semidirect
982. C4×C4⋊C4C22×C139semidirect
983. C4×C4⋊C4C22×C139semidirect
993. C4×C22⋊C4C22×C139semidirect
994. C4×C22⋊C4C22×C139semidirect
995. C4×C22⋊C4C22×C139semidirect
996. C4×C22⋊C4C22×C139semidirect
997. C4×C22⋊C4C22×C139semidirect
998. C4×C22⋊C4C22×C139semidirect
1278. C22×C4#41×C139semidirect
1373. C22⋊C4#41×C139semidirect

Maximal subgroups

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

subgroupindex
#2852×C1392
#2850×C1392
#2849×C1392
#2847×C1392
#2665×C1392
#2661×C1392
#2653×C1392
#2648×C1392
#2578×C1392
#2576×C1392
#2574×C1392
#2572×C1392
#2559×C1392
#2557×C1392
#2555×C1392
#2554×C1392
#2510×C1392
#2472×C1392
#2444×C1392
#2438×C1392
#2430×C1392
#2424×C1392
#2411×C1392
#2404×C1392
#2337×C1392
#2335×C1392
#2333×C1392
C4×#123×C1392
#2297×C1392
C2×C4×C22⋊C4×C1392
#35053139