Finite Group Databasebeta

← C139×#37038 #48031634

Subgroups — C139×#37038 #48031634

Order 35584.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2861×C139C211yesmaximal, characteristic, complemented
2#2861×C139C211yesmaximal, characteristic, complemented
3#2803×C139C211yesmaximal, characteristic, complemented
4#2778×C139C211yesmaximal, characteristic, complemented
5#2759×C139C211yesmaximal, characteristic, complemented
6#2756×C139C211yesmaximal, characteristic, complemented
7#2754×C139C211yesmaximal, characteristic, complemented
8#2735×C139C211yesmaximal, characteristic, complemented
9#2730×C139C211yesmaximal, characteristic, complemented
10#2712×C139C211yesmaximal, characteristic, complemented
11#2712×C139C211yesmaximal, characteristic, complemented
12#2711×C139C211yesmaximal, characteristic, complemented
13#2710×C139C211yesmaximal, characteristic, complemented
14#2706×C139C211yesmaximal, characteristic, complemented
15#2704×C139C211yesmaximal, characteristic, complemented
16#2678×C139C211yesmaximal, characteristic, complemented
17#2670×C139C211yesmaximal, characteristic, complemented
18#2670×C139C211yesmaximal, characteristic, complemented
19#2661×C139C211yesmaximal, characteristic, complemented
20#2653×C139C211yesmaximal, characteristic, complemented
21#2558×C139C211yesmaximal, characteristic, complemented
22#2555×C139C211yesmaximal, characteristic, complemented
23#2472×C139C211yesmaximal, characteristic, complemented
24#2460×C139C211yesmaximal, characteristic, complemented
25#2458×C139C211yesmaximal, characteristic, complemented
26#2456×C139C211yesmaximal, characteristic, complemented
27#2448×C139C211yesmaximal, characteristic, complemented
28#2418×C139C211yesmaximal, characteristic, complemented
29#2337×C139C211yesmaximal, characteristic, complemented
30#2321×C139C211yesmaximal, characteristic, complemented
31C4×#124×C139C211yesmaximal, characteristic, complemented
32C2×#125×C139C2211yescharacteristic, complemented
33C2×#125×C139C2211yescharacteristic, complemented
34C2×#124×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36C2×#124×C139C2211yescharacteristic
37C2×#124×C139C2211yescharacteristic
38C2×#124×C139C2211yescharacteristic
39C2×#124×C139C2211yescharacteristic, complemented
40C2×#123×C139C2211yescharacteristic
41C2×#123×C139C2211yescharacteristic
42C2×#123×C139C2211yescharacteristic, complemented
43C2×C22⋊Q8×C139C2211yescharacteristic
44C2×#121×C139C2211yescharacteristic
45C2×#121×C139C2211yescharacteristic, complemented
46C2×#120×C139C2211yescharacteristic
47C2×#120×C139C2211yescharacteristic
48C2×#120×C139C2211yescharacteristic
49C2×C4×Q8×C139C2211yescharacteristic, complemented
50C2×C4×D4×C139C2211yescharacteristic
51C2×C4×D4×C139C2211yescharacteristic
52C22×C22⋊C4×C139C2211yescharacteristic
53#401×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#399×C139C2211yescharacteristic, complemented
58#398×C139C2211yescharacteristic, complemented
59#398×C139C2211yescharacteristic, complemented
60#398×C139C2211yescharacteristic, complemented
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic
64#397×C139C2211yescharacteristic
65#397×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic, complemented
68#397×C139C2211yescharacteristic, complemented
69#396×C139C2211yescharacteristic
70#396×C139C2211yescharacteristic
71#396×C139C2211yescharacteristic
72#396×C139C2211yescharacteristic, complemented
73#395×C139C2211yescharacteristic, complemented
74#394×C139C2211yescharacteristic
75#394×C139C2211yescharacteristic
76#394×C139C2211yescharacteristic
77#394×C139C2211yescharacteristic
78#394×C139C2211yescharacteristic
79#394×C139C2211yescharacteristic
80#394×C139C2211yescharacteristic
81#394×C139C2211yescharacteristic
82#394×C139C2211yescharacteristic
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic, complemented
85#394×C139C2211yescharacteristic, complemented
86#394×C139C2211yescharacteristic, complemented
87#394×C139C2211yescharacteristic, complemented
88#393×C139C2211yescharacteristic
89#393×C139C2211yescharacteristic
90#393×C139C2211yescharacteristic
91#393×C139C2211yescharacteristic, complemented
92#393×C139C2211yescharacteristic, complemented
93#392×C139C2211yescharacteristic
94#392×C139C2211yescharacteristic
95#392×C139C2211yescharacteristic
96#392×C139C2211yescharacteristic
97#392×C139C2211yescharacteristic
98#392×C139C2211yescharacteristic
99#392×C139C2211yescharacteristic
100#392×C139C2211yescharacteristic
101#391×C139C2211yescharacteristic, complemented
102#391×C139C2211yescharacteristic, complemented
103#391×C139C2211yescharacteristic, complemented
104#391×C139C2211yescharacteristic, complemented
105#391×C139C2211yescharacteristic, complemented
106#391×C139C2211yescharacteristic, complemented
107#391×C139C2211yescharacteristic, complemented
108#390×C139C2211yescharacteristic
109#390×C139C2211yescharacteristic
110#390×C139C2211yescharacteristic
111#390×C139C2211yescharacteristic
112#390×C139C2211yescharacteristic
113#390×C139C2211yescharacteristic
114#390×C139C2211yescharacteristic
115#390×C139C2211yescharacteristic
116#390×C139C2211yescharacteristic
117#390×C139C2211yescharacteristic, complemented
118#389×C139C2211yescharacteristic, complemented
119#389×C139C2211yescharacteristic, complemented
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×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#388×C139C2211yescharacteristic
137#388×C139C2211yescharacteristic
138#388×C139C2211yescharacteristic
139#388×C139C2211yescharacteristic, complemented
140#388×C139C2211yescharacteristic, complemented
141#388×C139C2211yescharacteristic, complemented
142#388×C139C2211yescharacteristic, complemented
143#388×C139C2211yescharacteristic, complemented
144#388×C139C2211yescharacteristic, complemented
145#388×C139C2211yescharacteristic, complemented
146#388×C139C2211yescharacteristic, complemented
147#388×C139C2211yescharacteristic, complemented
148#388×C139C2211yescharacteristic, complemented
149#388×C139C2211yescharacteristic, complemented
150#388×C139C2211yescharacteristic, complemented
151#388×C139C2211yescharacteristic, complemented
152#387×C139C2211yescharacteristic, complemented
153#387×C139C2211yescharacteristic, complemented
154#387×C139C2211yescharacteristic, complemented
155#387×C139C2211yescharacteristic, complemented
156#387×C139C2211yescharacteristic, complemented
157#386×C139C2211yescharacteristic
158#386×C139C2211yescharacteristic
159#386×C139C2211yescharacteristic
160#386×C139C2211yescharacteristic
161#386×C139C2211yescharacteristic
162#386×C139C2211yescharacteristic
163#386×C139C2211yescharacteristic
164#386×C139C2211yescharacteristic
165#386×C139C2211yescharacteristic, complemented
166#386×C139C2211yescharacteristic, complemented
167#385×C139C2211yescharacteristic
168#385×C139C2211yescharacteristic
169#385×C139C2211yescharacteristic, complemented
170#385×C139C2211yescharacteristic, complemented
171#385×C139C2211yescharacteristic, complemented
172#385×C139C2211yescharacteristic, complemented
173#383×C139C2211yescharacteristic, complemented
174#382×C139C2211yescharacteristic, complemented
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic, complemented
177#379×C139C2211yescharacteristic
178#379×C139C2211yescharacteristic
179#379×C139C2211yescharacteristic
180C4×C4⋊C4×C139C2211yescharacteristic, complemented
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184C4×C22⋊C4×C139C2211yescharacteristic, complemented
185C4×C22⋊C4×C139C2211yescharacteristic, complemented
186C43×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×C139C2311yescharacteristic
201C22×D4×C139C2311yescharacteristic
202C22×D4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208#125×C139—42no—
209#125×C139—42no—
210#124×C139—24no—
211#124×C139—24no—
212#124×C139—42no—
213#124×C139—42no—
214#124×C139—42no—
215#124×C139—42no—
216#123×C139—42no—
217#123×C139—42no—
218#123×C139—42no—
219C22⋊Q8×C139—42no—
220#121×C139—42no—
221#121×C139—42no—
222#120×C139—24no—
223#120×C139—42no—
224#120×C139—42no—
225C4×Q8×C139—42no—
226C4×D4×C139—42no—
227C4×D4×C139—42no—
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×C139—42no—
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×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C22⋊C4×C139C2311yescharacteristic
312C2×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
363C24×C139—22no—
364C24×C139—41no—
365C24×C139—41no—
366C24×C139—41no—
367C24×C139—41no—
368C24×C139—41no—
369C24×C139—41no—
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C24×C139C2411yescharacteristic
375C24×C139C2411yescharacteristic
376C2×Q8×C139—22no—
377C2×Q8×C139—22no—
378C2×Q8×C139—22no—
379C2×Q8×C139—22no—
380C2×Q8×C139—41no—
381C2×Q8×C139—41no—
382C2×Q8×C139—41no—
383C2×Q8×C139—41no—
384C2×Q8×C139—41no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—22no—
388C2×D4×C139—22no—
389C2×D4×C139—22no—
390C2×D4×C139—22no—
391C2×D4×C139—22no—
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—
405C2×D4×C139—41no—
406C2×D4×C139—41no—
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—
421C22×C4×C139—22no—
422C22×C4×C139—22no—
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—41no—
431C22×C4×C139—41no—
432C22×C4×C139—41no—
433C22×C4×C139—41no—
434C22×C4×C139—41no—
435C22×C4×C139—41no—
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
458C22×C4×C139C2411yescharacteristic
459C22×C4×C139C2411yescharacteristic
460C22×C4×C139C2411yescharacteristic
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—41no—
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—
484C4⋊C4×C139—41no—
485C4⋊C4×C139—41no—
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—22no—
505C22⋊C4×C139—22no—
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—
530C22⋊C4×C139—41no—
531C22⋊C4×C139—41no—
532C22⋊C4×C139—41no—
533C22⋊C4×C139—41no—
534C22⋊C4×C139—41no—
535C22⋊C4×C139—41no—
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#4114yes—
544C42×C139—22no—
545C42×C139—22no—
546C42×C139—22no—
547C42×C139—22no—
548C42×C139—22no—
549C42×C139—41no—
550C42×C139—41no—
551C42×C139—41no—
552C42×C139—41no—
553C42×C139—41no—
554C42×C139—41no—
555C42×C139—41no—
556C42×C139—41no—
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×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—44no—
599C23×C139—82no—
600C23×C139—82no—
601C23×C139—82no—
602C23×C139—82no—
603C23×C139—82no—
604C23×C139—82no—
605C23×C139C2×#4112yes—
606C23×C139C2511yescharacteristic
607Q8×C139—44no—
608Q8×C139—82no—
609Q8×C139—82no—
610D4×C139—44no—
611D4×C139—44no—
612D4×C139—82no—
613D4×C139—82no—
614D4×C139—82no—
615D4×C139—82no—
616D4×C139—82no—
617D4×C139—82no—
618D4×C139—82no—
619D4×C139—82no—
620D4×C139—82no—
621D4×C139—82no—
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—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—82no—
693C2×C4×C139—82no—
694C2×C4×C139—82no—
695C2×C4×C139—82no—
696C2×C4×C139—82no—
697C2×C4×C139C2×#4112yes—
698C2×C4×C139C2×#4112yes—
699C2×C4×C139H(5,𝔽2)12yes—
700C2×C4×C139H(5,𝔽2)12yes—
701C2×C4×C139H(5,𝔽2)12yes—
702C22×C139—22no—
703C22×C139—22no—
704C22×C139—22no—
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×C139—41no—
719C22×C139—41no—
720C22×C139—41no—
721C22×C139—41no—
722C22×C139—41no—
723C22×C139—41no—
724C22×C139—41no—
725C22×C139—41no—
726C22×C139—41no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139—41no—
731C22×C139—41no—
732C22×C139—41no—
733C22×C139—41no—
734C22×C139—41no—
735C22×C139—41no—
736C22×C139—41no—
737C22×C139—41no—
738C22×C139—41no—
739C22×C139—41no—
740C22×C139—41no—
741C22×C139—41no—
742C22×C139—41no—
743C22×C139—41no—
744C22×C139—88no—
745C22×C139C22×#4111yescharacteristic
746C22×C139C2×H(5,𝔽2)11yescharacteristic
747C22×C139C2×H(5,𝔽2)11yescharacteristic
748C22×C139C2×H(5,𝔽2)11yescharacteristic
749C22×C139#58511yescharacteristic
750C22×C139#58511yescharacteristic
751C22×C139#58511yescharacteristic
752C4×C139—22no—
753C4×C139—22no—
754C4×C139—22no—
755C4×C139—22no—
756C4×C139—22no—
757C4×C139—41no—
758C4×C139—41no—
759C4×C139—41no—
760C4×C139—41no—
761C4×C139—41no—
762C4×C139—41no—
763C4×C139—41no—
764C4×C139—41no—
765C4×C139—41no—
766C4×C139—41no—
767C4×C139—41no—
768C4×C139—41no—
769C4×C139—41no—
770C4×C139—41no—
771C4×C139—41no—
772C4×C139—41no—
773C4×C139—41no—
774C4×C139—41no—
775C4×C139—41no—
776C4×C139—41no—
777C2×C139—42no—
778C2×C139—81no—
779C2×C139—81no—
780C2×C139—81no—
781C2×C139—81no—
782C2×C139—81no—
783C2×C139#346011yescharacteristic
784C2×C139#351311yescharacteristic
785C2×C139#351411yescharacteristic
786C2×C139#354611yescharacteristic
787C2×C139#355811yescharacteristic
788C2×C139#355811yescharacteristic
789C2×C139#356611yescharacteristic
790#37038C13911yesmaximal, characteristic, direct product factor, Sylow
791C139#3703811yescharacteristic, direct product factor, Sylow
792#2861C2×C13911yescharacteristic, complemented
793#2861C2×C13911yescharacteristic, complemented
794#2803C2×C13911yescharacteristic, complemented
795#2778C2×C13911yescharacteristic, complemented
796#2759C2×C13911yescharacteristic, complemented
797#2756C2×C13911yescharacteristic, complemented
798#2754C2×C13911yescharacteristic, complemented
799#2735C2×C13911yescharacteristic, complemented
800#2730C2×C13911yescharacteristic, complemented
801#2712C2×C13911yescharacteristic, complemented
802#2712C2×C13911yescharacteristic, complemented
803#2711C2×C13911yescharacteristic, complemented
804#2710C2×C13911yescharacteristic, complemented
805#2706C2×C13911yescharacteristic, complemented
806#2704C2×C13911yescharacteristic, complemented
807#2678C2×C13911yescharacteristic, complemented
808#2670C2×C13911yescharacteristic, complemented
809#2670C2×C13911yescharacteristic, complemented
810#2661C2×C13911yescharacteristic, complemented
811#2653C2×C13911yescharacteristic, complemented
812#2558C2×C13911yescharacteristic, complemented
813#2555C2×C13911yescharacteristic, complemented
814#2472C2×C13911yescharacteristic, complemented
815#2460C2×C13911yescharacteristic, complemented
816#2458C2×C13911yescharacteristic, complemented
817#2456C2×C13911yescharacteristic, complemented
818#2448C2×C13911yescharacteristic, complemented
819#2418C2×C13911yescharacteristic, complemented
820#2337C2×C13911yescharacteristic, complemented
821#2321C2×C13911yescharacteristic, complemented
822C4×#124C2×C13911yescharacteristic, complemented
823C2×#125C22×C13911yescharacteristic, complemented
824C2×#125C22×C13911yescharacteristic, complemented
825C2×#124C22×C13911yescharacteristic
826C2×#124C22×C13911yescharacteristic
827C2×#124C22×C13911yescharacteristic
828C2×#124C22×C13911yescharacteristic
829C2×#124C22×C13911yescharacteristic
830C2×#124C22×C13911yescharacteristic, complemented
831C2×#123C22×C13911yescharacteristic
832C2×#123C22×C13911yescharacteristic
833C2×#123C22×C13911yescharacteristic, complemented
834C2×C22⋊Q8C22×C13911yescharacteristic
835C2×#121C22×C13911yescharacteristic
836C2×#121C22×C13911yescharacteristic, complemented
837C2×#120C22×C13911yescharacteristic
838C2×#120C22×C13911yescharacteristic
839C2×#120C22×C13911yescharacteristic
840C2×C4×Q8C22×C13911yescharacteristic, complemented
841C2×C4×D4C22×C13911yescharacteristic
842C2×C4×D4C22×C13911yescharacteristic
843C22×C22⋊C4C22×C13911yescharacteristic
844#401C22×C13911yescharacteristic, complemented
845#400C22×C13911yescharacteristic, complemented
846#399C22×C13911yescharacteristic
847#399C22×C13911yescharacteristic
848#399C22×C13911yescharacteristic, complemented
849#398C22×C13911yescharacteristic, complemented
850#398C22×C13911yescharacteristic, complemented
851#398C22×C13911yescharacteristic, complemented
852#397C22×C13911yescharacteristic
853#397C22×C13911yescharacteristic
854#397C22×C13911yescharacteristic
855#397C22×C13911yescharacteristic
856#397C22×C13911yescharacteristic
857#397C22×C13911yescharacteristic
858#397C22×C13911yescharacteristic, complemented
859#397C22×C13911yescharacteristic, complemented
860#396C22×C13911yescharacteristic
861#396C22×C13911yescharacteristic
862#396C22×C13911yescharacteristic
863#396C22×C13911yescharacteristic, complemented
864#395C22×C13911yescharacteristic, complemented
865#394C22×C13911yescharacteristic
866#394C22×C13911yescharacteristic
867#394C22×C13911yescharacteristic
868#394C22×C13911yescharacteristic
869#394C22×C13911yescharacteristic
870#394C22×C13911yescharacteristic
871#394C22×C13911yescharacteristic
872#394C22×C13911yescharacteristic
873#394C22×C13911yescharacteristic
874#394C22×C13911yescharacteristic
875#394C22×C13911yescharacteristic, complemented
876#394C22×C13911yescharacteristic, complemented
877#394C22×C13911yescharacteristic, complemented
878#394C22×C13911yescharacteristic, complemented
879#393C22×C13911yescharacteristic
880#393C22×C13911yescharacteristic
881#393C22×C13911yescharacteristic
882#393C22×C13911yescharacteristic, complemented
883#393C22×C13911yescharacteristic, complemented
884#392C22×C13911yescharacteristic
885#392C22×C13911yescharacteristic
886#392C22×C13911yescharacteristic
887#392C22×C13911yescharacteristic
888#392C22×C13911yescharacteristic
889#392C22×C13911yescharacteristic
890#392C22×C13911yescharacteristic
891#392C22×C13911yescharacteristic
892#391C22×C13911yescharacteristic, complemented
893#391C22×C13911yescharacteristic, complemented
894#391C22×C13911yescharacteristic, complemented
895#391C22×C13911yescharacteristic, complemented
896#391C22×C13911yescharacteristic, complemented
897#391C22×C13911yescharacteristic, complemented
898#391C22×C13911yescharacteristic, complemented
899#390C22×C13911yescharacteristic
900#390C22×C13911yescharacteristic
901#390C22×C13911yescharacteristic
902#390C22×C13911yescharacteristic
903#390C22×C13911yescharacteristic
904#390C22×C13911yescharacteristic
905#390C22×C13911yescharacteristic
906#390C22×C13911yescharacteristic
907#390C22×C13911yescharacteristic
908#390C22×C13911yescharacteristic, complemented
909#389C22×C13911yescharacteristic, complemented
910#389C22×C13911yescharacteristic, complemented
911#388C22×C13911yescharacteristic
912#388C22×C13911yescharacteristic
913#388C22×C13911yescharacteristic
914#388C22×C13911yescharacteristic
915#388C22×C13911yescharacteristic
916#388C22×C13911yescharacteristic
917#388C22×C13911yescharacteristic
918#388C22×C13911yescharacteristic
919#388C22×C13911yescharacteristic
920#388C22×C13911yescharacteristic
921#388C22×C13911yescharacteristic
922#388C22×C13911yescharacteristic
923#388C22×C13911yescharacteristic
924#388C22×C13911yescharacteristic
925#388C22×C13911yescharacteristic
926#388C22×C13911yescharacteristic
927#388C22×C13911yescharacteristic
928#388C22×C13911yescharacteristic
929#388C22×C13911yescharacteristic
930#388C22×C13911yescharacteristic, complemented
931#388C22×C13911yescharacteristic, complemented
932#388C22×C13911yescharacteristic, complemented
933#388C22×C13911yescharacteristic, complemented
934#388C22×C13911yescharacteristic, complemented
935#388C22×C13911yescharacteristic, complemented
936#388C22×C13911yescharacteristic, complemented
937#388C22×C13911yescharacteristic, complemented
938#388C22×C13911yescharacteristic, complemented
939#388C22×C13911yescharacteristic, complemented
940#388C22×C13911yescharacteristic, complemented
941#388C22×C13911yescharacteristic, complemented
942#388C22×C13911yescharacteristic, complemented
943#387C22×C13911yescharacteristic, complemented
944#387C22×C13911yescharacteristic, complemented
945#387C22×C13911yescharacteristic, complemented
946#387C22×C13911yescharacteristic, complemented
947#387C22×C13911yescharacteristic, complemented
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, complemented
957#386C22×C13911yescharacteristic, complemented
958#385C22×C13911yescharacteristic
959#385C22×C13911yescharacteristic
960#385C22×C13911yescharacteristic, complemented
961#385C22×C13911yescharacteristic, complemented
962#385C22×C13911yescharacteristic, complemented
963#385C22×C13911yescharacteristic, complemented
964#383C22×C13911yescharacteristic, complemented
965#382C22×C13911yescharacteristic, complemented
966#380C22×C13911yescharacteristic
967#380C22×C13911yescharacteristic, complemented
968#379C22×C13911yescharacteristic
969#379C22×C13911yescharacteristic
970#379C22×C13911yescharacteristic
971C4×C4⋊C4C22×C13911yescharacteristic, complemented
972C4×C22⋊C4C22×C13911yescharacteristic
973C4×C22⋊C4C22×C13911yescharacteristic
974C4×C22⋊C4C22×C13911yescharacteristic, complemented
975C4×C22⋊C4C22×C13911yescharacteristic, complemented
976C4×C22⋊C4C22×C13911yescharacteristic, complemented
977C43C22×C13911yescharacteristic, complemented
978C25C23×C13911yescharacteristic
979C22×Q8C23×C13911yescharacteristic
980C22×Q8C23×C13911yescharacteristic
981C22×Q8C23×C13911yescharacteristic
982C22×D4C23×C13911yescharacteristic
983C22×D4C23×C13911yescharacteristic
984C22×D4C23×C13911yescharacteristic
985C22×D4C23×C13911yescharacteristic
986C22×D4C23×C13911yescharacteristic
987C22×D4C23×C13911yescharacteristic
988C22×D4C23×C13911yescharacteristic
989C22×D4C23×C13911yescharacteristic
990C22×D4C23×C13911yescharacteristic
991C22×D4C23×C13911yescharacteristic
992C22×D4C23×C13911yescharacteristic
993C22×D4C23×C13911yescharacteristic
994C23×C4C23×C13911yescharacteristic
995C23×C4C23×C13911yescharacteristic
996C23×C4C23×C13911yescharacteristic
997C23×C4C23×C13911yescharacteristic
998C23×C4C23×C13911yescharacteristic
999#125—42no—
1000#125—42no—
1001#124—24no—
1002#124—24no—
1003#124—42no—
1004#124—42no—
1005#124—42no—
1006#124—42no—
1007#123—42no—
1008#123—42no—
1009#123—42no—
1010C22⋊Q8—42no—
1011#121—42no—
1012#121—42no—
1013#120—24no—
1014#120—42no—
1015#120—42no—
1016C4×Q8—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C2×C4⋊C4C23×C13911yescharacteristic
1020C2×C4⋊C4C23×C13911yescharacteristic
1021C2×C4⋊C4C23×C13911yescharacteristic
1022C2×C4⋊C4C23×C13911yescharacteristic
1023C2×C4⋊C4C23×C13911yescharacteristic
1024C2×C4⋊C4C23×C13911yescharacteristic
1025C2×C4⋊C4C23×C13911yescharacteristic
1026C2×C4⋊C4C23×C13911yescharacteristic
1027C2×C4⋊C4C23×C13911yescharacteristic
1028C2×C4⋊C4C23×C13911yescharacteristic
1029C2×C4⋊C4C23×C13911yescharacteristic
1030C2×C4⋊C4C23×C13911yescharacteristic
1031C2×C4⋊C4C23×C13911yescharacteristic
1032C2×C4⋊C4C23×C13911yescharacteristic
1033C2×C4⋊C4C23×C13911yescharacteristic
1034C2×C4⋊C4C23×C13911yescharacteristic
1035C2×C4⋊C4C23×C13911yescharacteristic
1036C2×C4⋊C4C23×C13911yescharacteristic
1037C2×C4⋊C4C23×C13911yescharacteristic
1038C2×C4⋊C4C23×C13911yescharacteristic
1039C2×C4⋊C4C23×C13911yescharacteristic
1040C2×C4⋊C4C23×C13911yescharacteristic
1041C2×C4⋊C4C23×C13911yescharacteristic
1042C2×C4⋊C4C23×C13911yescharacteristic
1043C2×C4⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4—42no—
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×C22⋊C4C23×C13911yescharacteristic
1064C2×C22⋊C4C23×C13911yescharacteristic
1065C2×C22⋊C4C23×C13911yescharacteristic
1066C2×C22⋊C4C23×C13911yescharacteristic
1067C2×C22⋊C4C23×C13911yescharacteristic
1068C2×C22⋊C4C23×C13911yescharacteristic
1069C2×C22⋊C4C23×C13911yescharacteristic
1070C2×C22⋊C4C23×C13911yescharacteristic
1071C2×C22⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4C23×C13911yescharacteristic
1073C2×C22⋊C4C23×C13911yescharacteristic
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×C42C23×C13911yescharacteristic
1104C2×C42C23×C13911yescharacteristic
1105C2×C42C23×C13911yescharacteristic
1106C2×C42C23×C13911yescharacteristic
1107C2×C42C23×C13911yescharacteristic
1108C2×C42C23×C13911yescharacteristic
1109C2×C42C23×C13911yescharacteristic
1110C2×C42C23×C13911yescharacteristic
1111C2×C42C23×C13911yescharacteristic
1112C2×C42C23×C13911yescharacteristic
1113C2×C42C23×C13911yescharacteristic
1114C2×C42C23×C13911yescharacteristic
1115C2×C42C23×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
1127#95C23×C13911yescharacteristic
1128#95C23×C13911yescharacteristic
1129#95C23×C13911yescharacteristic
1130#95C23×C13911yescharacteristic
1131#95C23×C13911yescharacteristic
1132#95C23×C13911yescharacteristic
1133#95C23×C13911yescharacteristic
1134#95C23×C13911yescharacteristic
1135#95C23×C13911yescharacteristic
1136#95C23×C13911yescharacteristic
1137#95C23×C13911yescharacteristic
1138#95C23×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
1154C24—22no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24C24×C13911yescharacteristic
1162C24C24×C13911yescharacteristic
1163C24C24×C13911yescharacteristic
1164C24C24×C13911yescharacteristic
1165C24C24×C13911yescharacteristic
1166C24C24×C13911yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4C24×C13911yescharacteristic
1228C22×C4C24×C13911yescharacteristic
1229C22×C4C24×C13911yescharacteristic
1230C22×C4C24×C13911yescharacteristic
1231C22×C4C24×C13911yescharacteristic
1232C22×C4C24×C13911yescharacteristic
1233C22×C4C24×C13911yescharacteristic
1234C22×C4C24×C13911yescharacteristic
1235C22×C4C24×C13911yescharacteristic
1236C22×C4C24×C13911yescharacteristic
1237C22×C4C24×C13911yescharacteristic
1238C22×C4C24×C13911yescharacteristic
1239C22×C4C24×C13911yescharacteristic
1240C22×C4C24×C13911yescharacteristic
1241C22×C4C24×C13911yescharacteristic
1242C22×C4C24×C13911yescharacteristic
1243C22×C4C24×C13911yescharacteristic
1244C22×C4C24×C13911yescharacteristic
1245C22×C4C24×C13911yescharacteristic
1246C22×C4C24×C13911yescharacteristic
1247C22×C4C24×C13911yescharacteristic
1248C22×C4C24×C13911yescharacteristic
1249C22×C4C24×C13911yescharacteristic
1250C22×C4C24×C13911yescharacteristic
1251C22×C4C24×C13911yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4#41×C13914yes—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—44no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23C2×#41×C13912yes—
1397C23C25×C13911yescharacteristic
1398Q8—44no—
1399Q8—82no—
1400Q8—82no—
1401D4—44no—
1402D4—44no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
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—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4C2×#41×C13912yes—
1489C2×C4C2×#41×C13912yes—
1490C2×C4H(5,𝔽2)×C13912yes—
1491C2×C4H(5,𝔽2)×C13912yes—
1492C2×C4H(5,𝔽2)×C13912yes—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—88no—
1536C22C22×#41×C13911yescharacteristic
1537C22C2×H(5,𝔽2)×C13911yescharacteristic
1538C22C2×H(5,𝔽2)×C13911yescharacteristic
1539C22C2×H(5,𝔽2)×C13911yescharacteristic
1540C22#585×C13911yescharacteristic
1541C22#585×C13911yescharacteristic
1542C22#585×C13911yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C2—42no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—81no—
1573C2—81no—
1574C2#3460×C13911yescharacteristic
1575C2#3513×C13911yescharacteristic
1576C2#3514×C13911yescharacteristic
1577C2#3546×C13911yescharacteristic
1578C2#3558×C13911yescharacteristic
1579C2#3558×C13911yescharacteristic
1580C2#3566×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2861×C139C2semidirect
2. #2861×C139C2semidirect
3. #2803×C139C2semidirect
4. #2778×C139C2semidirect
5. #2759×C139C2semidirect
6. #2756×C139C2semidirect
7. #2754×C139C2semidirect
8. #2735×C139C2semidirect
9. #2730×C139C2semidirect
10. #2712×C139C2semidirect
11. #2712×C139C2semidirect
12. #2711×C139C2semidirect
13. #2710×C139C2semidirect
14. #2706×C139C2semidirect
15. #2704×C139C2semidirect
16. #2678×C139C2semidirect
17. #2670×C139C2semidirect
18. #2670×C139C2semidirect
19. #2661×C139C2semidirect
20. #2653×C139C2semidirect
21. #2558×C139C2semidirect
22. #2555×C139C2semidirect
23. #2472×C139C2semidirect
24. #2460×C139C2semidirect
25. #2458×C139C2semidirect
26. #2456×C139C2semidirect
27. #2448×C139C2semidirect
28. #2418×C139C2semidirect
29. #2337×C139C2semidirect
30. #2321×C139C2semidirect
31. C4×#124×C139C2semidirect
32. C2×#125×C139C22semidirect
33. C2×#125×C139C22semidirect
39. C2×#124×C139C22semidirect
42. C2×#123×C139C22semidirect
45. C2×#121×C139C22semidirect
49. C2×C4×Q8×C139C22semidirect
53. #401×C139C22semidirect
54. #400×C139C22semidirect
57. #399×C139C22semidirect
58. #398×C139C22semidirect
59. #398×C139C22semidirect
60. #398×C139C22semidirect
67. #397×C139C22semidirect
68. #397×C139C22semidirect
72. #396×C139C22semidirect
73. #395×C139C22semidirect
84. #394×C139C22semidirect
85. #394×C139C22semidirect
86. #394×C139C22semidirect
87. #394×C139C22semidirect
91. #393×C139C22semidirect
92. #393×C139C22semidirect
101. #391×C139C22semidirect
102. #391×C139C22semidirect
103. #391×C139C22semidirect
104. #391×C139C22semidirect
105. #391×C139C22semidirect
106. #391×C139C22semidirect
107. #391×C139C22semidirect
117. #390×C139C22semidirect
118. #389×C139C22semidirect
119. #389×C139C22semidirect
139. #388×C139C22semidirect
140. #388×C139C22semidirect
141. #388×C139C22semidirect
142. #388×C139C22semidirect
143. #388×C139C22semidirect
144. #388×C139C22semidirect
145. #388×C139C22semidirect
146. #388×C139C22semidirect
147. #388×C139C22semidirect
148. #388×C139C22semidirect
149. #388×C139C22semidirect
150. #388×C139C22semidirect
151. #388×C139C22semidirect
152. #387×C139C22semidirect
153. #387×C139C22semidirect
154. #387×C139C22semidirect
155. #387×C139C22semidirect
156. #387×C139C22semidirect
165. #386×C139C22semidirect
166. #386×C139C22semidirect
169. #385×C139C22semidirect
170. #385×C139C22semidirect
171. #385×C139C22semidirect
172. #385×C139C22semidirect
173. #383×C139C22semidirect
174. #382×C139C22semidirect
176. #380×C139C22semidirect
180. C4×C4⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
184. C4×C22⋊C4×C139C22semidirect
185. C4×C22⋊C4×C139C22semidirect
186. C43×C139C22semidirect
790. #37038C139direct (N × H)
791. C139#37038direct (N × H)
792. #2861C2×C139semidirect
793. #2861C2×C139semidirect
794. #2803C2×C139semidirect
795. #2778C2×C139semidirect
796. #2759C2×C139semidirect
797. #2756C2×C139semidirect
798. #2754C2×C139semidirect
799. #2735C2×C139semidirect
800. #2730C2×C139semidirect
801. #2712C2×C139semidirect
802. #2712C2×C139semidirect
803. #2711C2×C139semidirect
804. #2710C2×C139semidirect
805. #2706C2×C139semidirect
806. #2704C2×C139semidirect
807. #2678C2×C139semidirect
808. #2670C2×C139semidirect
809. #2670C2×C139semidirect
810. #2661C2×C139semidirect
811. #2653C2×C139semidirect
812. #2558C2×C139semidirect
813. #2555C2×C139semidirect
814. #2472C2×C139semidirect
815. #2460C2×C139semidirect
816. #2458C2×C139semidirect
817. #2456C2×C139semidirect
818. #2448C2×C139semidirect
819. #2418C2×C139semidirect
820. #2337C2×C139semidirect
821. #2321C2×C139semidirect
822. C4×#124C2×C139semidirect
823. C2×#125C22×C139semidirect
824. C2×#125C22×C139semidirect
830. C2×#124C22×C139semidirect
833. C2×#123C22×C139semidirect
836. C2×#121C22×C139semidirect
840. C2×C4×Q8C22×C139semidirect
844. #401C22×C139semidirect
845. #400C22×C139semidirect
848. #399C22×C139semidirect
849. #398C22×C139semidirect
850. #398C22×C139semidirect
851. #398C22×C139semidirect
858. #397C22×C139semidirect
859. #397C22×C139semidirect
863. #396C22×C139semidirect
864. #395C22×C139semidirect
875. #394C22×C139semidirect
876. #394C22×C139semidirect
877. #394C22×C139semidirect
878. #394C22×C139semidirect
882. #393C22×C139semidirect
883. #393C22×C139semidirect
892. #391C22×C139semidirect
893. #391C22×C139semidirect
894. #391C22×C139semidirect
895. #391C22×C139semidirect
896. #391C22×C139semidirect
897. #391C22×C139semidirect
898. #391C22×C139semidirect
908. #390C22×C139semidirect
909. #389C22×C139semidirect
910. #389C22×C139semidirect
930. #388C22×C139semidirect
931. #388C22×C139semidirect
932. #388C22×C139semidirect
933. #388C22×C139semidirect
934. #388C22×C139semidirect
935. #388C22×C139semidirect
936. #388C22×C139semidirect
937. #388C22×C139semidirect
938. #388C22×C139semidirect
939. #388C22×C139semidirect
940. #388C22×C139semidirect
941. #388C22×C139semidirect
942. #388C22×C139semidirect
943. #387C22×C139semidirect
944. #387C22×C139semidirect
945. #387C22×C139semidirect
946. #387C22×C139semidirect
947. #387C22×C139semidirect
956. #386C22×C139semidirect
957. #386C22×C139semidirect
960. #385C22×C139semidirect
961. #385C22×C139semidirect
962. #385C22×C139semidirect
963. #385C22×C139semidirect
964. #383C22×C139semidirect
965. #382C22×C139semidirect
967. #380C22×C139semidirect
971. C4×C4⋊C4C22×C139semidirect
974. C4×C22⋊C4C22×C139semidirect
975. C4×C22⋊C4C22×C139semidirect
976. C4×C22⋊C4C22×C139semidirect
977. C43C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2861×C1392
#2803×C1392
#2778×C1392
#2759×C1392
#2756×C1392
#2754×C1392
#2735×C1392
#2730×C1392
#2712×C1392
#2711×C1392
#2710×C1392
#2706×C1392
#2704×C1392
#2678×C1392
#2670×C1392
#2661×C1392
#2653×C1392
#2558×C1392
#2555×C1392
#2472×C1392
#2460×C1392
#2458×C1392
#2456×C1392
#2448×C1392
#2418×C1392
#2337×C1392
#2321×C1392
C4×#124×C1392
#37038139