Finite Group Databasebeta

← C139×#34866 #48029462

Subgroups — C139×#34866 #48029462

Order 35584.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2606×C139C211yesmaximal, characteristic, complemented
2#2604×C139C211yesmaximal, characteristic, complemented
3#2601×C139C211yesmaximal, characteristic
4#2599×C139C211yesmaximal, characteristic, complemented
5#2596×C139C211yesmaximal, characteristic, complemented
6#2590×C139C211yesmaximal, characteristic, complemented
7#2575×C139C211yesmaximal, characteristic, complemented
8#2558×C139C211yesmaximal, characteristic
9#2533×C139C211yesmaximal, characteristic, complemented
10#2529×C139C211yesmaximal, characteristic, complemented
11#2519×C139C211yesmaximal, characteristic, complemented
12#2515×C139C211yesmaximal, characteristic, complemented
13#2479×C139C211yesmaximal, characteristic
14#2475×C139C211yesmaximal, characteristic, complemented
15#2462×C139C211yesmaximal, characteristic, complemented
16#2458×C139C211yesmaximal, characteristic
17#2402×C139C211yesmaximal, characteristic, complemented
18#2396×C139C211yesmaximal, characteristic, complemented
19#2396×C139C211yesmaximal, characteristic, complemented
20#2395×C139C211yesmaximal, characteristic
21C4×#125×C139C211yesmaximal, characteristic, complemented
22C4×#125×C139C211yesmaximal, characteristic, complemented
23C4×#126×C139C211yesmaximal, characteristic, complemented
24C4×#126×C139C211yesmaximal, characteristic, complemented
25C4×#123×C139C211yesmaximal, characteristic
26#2298×C139C211yesmaximal, characteristic, complemented
27#2298×C139C211yesmaximal, characteristic, complemented
28#2296×C139C211yesmaximal, characteristic, complemented
29#2293×C139C211yesmaximal, characteristic
30C42×Q8×C139C211yesmaximal, characteristic, complemented
31C4×#117×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#125×C139C2211yescharacteristic
35C2×#125×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×C4×Q8×C139C2211yescharacteristic
38C2×C4×Q8×C139C2211yescharacteristic
39C2×C4×Q8×C139C2211yescharacteristic
40C2×C4×D4×C139C2211yescharacteristic
41C2×#117×C139C2211yescharacteristic
42C2×#117×C139C2211yescharacteristic
43C2×#117×C139C2211yescharacteristic
44C2×#117×C139C2211yescharacteristic
45C2×#117×C139C2211yescharacteristic
46C22×C42×C139C2211yescharacteristic
47#400×C139C2211yescharacteristic
48#400×C139C2211yescharacteristic
49#400×C139C2211yescharacteristic
50#400×C139C2211yescharacteristic
51#400×C139C2211yescharacteristic
52#400×C139C2211yescharacteristic
53#400×C139C2211yescharacteristic
54#399×C139C2211yescharacteristic
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#398×C139C2211yescharacteristic
58#398×C139C2211yescharacteristic
59#398×C139C2211yescharacteristic
60#398×C139C2211yescharacteristic
61#398×C139C2211yescharacteristic
62#398×C139C2211yescharacteristic
63#398×C139C2211yescharacteristic
64#398×C139C2211yescharacteristic
65#398×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#396×C139C2211yescharacteristic
70#396×C139C2211yescharacteristic
71#396×C139C2211yescharacteristic
72#396×C139C2211yescharacteristic
73#395×C139C2211yescharacteristic
74#395×C139C2211yescharacteristic
75#394×C139C2211yescharacteristic
76#394×C139C2211yescharacteristic
77#393×C139C2211yescharacteristic
78#393×C139C2211yescharacteristic
79#390×C139C2211yescharacteristic
80#390×C139C2211yescharacteristic
81#389×C139C2211yescharacteristic
82#389×C139C2211yescharacteristic
83#389×C139C2211yescharacteristic
84#389×C139C2211yescharacteristic
85#389×C139C2211yescharacteristic
86#389×C139C2211yescharacteristic
87#389×C139C2211yescharacteristic
88#389×C139C2211yescharacteristic
89#389×C139C2211yescharacteristic
90#389×C139C2211yescharacteristic
91#388×C139C2211yescharacteristic
92#388×C139C2211yescharacteristic
93#388×C139C2211yescharacteristic
94#388×C139C2211yescharacteristic
95#388×C139C2211yescharacteristic
96#388×C139C2211yescharacteristic
97#388×C139C2211yescharacteristic
98#388×C139C2211yescharacteristic
99#388×C139C2211yescharacteristic
100#388×C139C2211yescharacteristic
101#388×C139C2211yescharacteristic
102#388×C139C2211yescharacteristic
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic
105#388×C139C2211yescharacteristic
106#388×C139C2211yescharacteristic
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic
109#388×C139C2211yescharacteristic
110#388×C139C2211yescharacteristic
111#387×C139C2211yescharacteristic
112#387×C139C2211yescharacteristic
113#387×C139C2211yescharacteristic
114#387×C139C2211yescharacteristic
115#387×C139C2211yescharacteristic
116#387×C139C2211yescharacteristic
117#387×C139C2211yescharacteristic
118#387×C139C2211yescharacteristic
119#387×C139C2211yescharacteristic
120#387×C139C2211yescharacteristic
121#387×C139C2211yescharacteristic
122#387×C139C2211yescharacteristic
123#387×C139C2211yescharacteristic
124#387×C139C2211yescharacteristic
125#387×C139C2211yescharacteristic
126#387×C139C2211yescharacteristic
127#387×C139C2211yescharacteristic
128#387×C139C2211yescharacteristic
129#387×C139C2211yescharacteristic
130#387×C139C2211yescharacteristic
131#387×C139C2211yescharacteristic
132#387×C139C2211yescharacteristic
133#387×C139C2211yescharacteristic
134#387×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#383×C139C2211yescharacteristic
142#383×C139C2211yescharacteristic
143#382×C139C2211yescharacteristic
144#382×C139C2211yescharacteristic
145#381×C139C2211yescharacteristic
146C4×C4⋊C4×C139C2211yescharacteristic
147C4×C4⋊C4×C139C2211yescharacteristic
148C4×C4⋊C4×C139C2211yescharacteristic
149C4×C4⋊C4×C139C2211yescharacteristic
150C4×C4⋊C4×C139C2211yescharacteristic
151C4×C4⋊C4×C139C2211yescharacteristic
152C4×C4⋊C4×C139C2211yescharacteristic
153C4×C4⋊C4×C139C2211yescharacteristic
154C4×C4⋊C4×C139C2211yescharacteristic
155C4×C4⋊C4×C139C2211yescharacteristic
156C4×C4⋊C4×C139C2211yescharacteristic
157C4×C4⋊C4×C139C2211yescharacteristic
158C4×C4⋊C4×C139C2211yescharacteristic
159C4×C4⋊C4×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic
161C4×C4⋊C4×C139C2211yescharacteristic
162C4×C4⋊C4×C139C2211yescharacteristic
163C4×C4⋊C4×C139C2211yescharacteristic
164C4×C4⋊C4×C139C2211yescharacteristic
165C4×C4⋊C4×C139C2211yescharacteristic
166C4×C4⋊C4×C139C2211yescharacteristic
167C4×C4⋊C4×C139C2211yescharacteristic
168C4×C4⋊C4×C139C2211yescharacteristic
169C4×C4⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180#376×C139C2211yescharacteristic
181#376×C139C2211yescharacteristic
182#376×C139C2211yescharacteristic
183C43×C139C2211yescharacteristic
184C43×C139C2211yescharacteristic
185C43×C139C2211yescharacteristic
186C43×C139C2211yescharacteristic
187C22×Q8×C139C2311yescharacteristic
188C22×D4×C139C2311yescharacteristic
189C23×C4×C139C2311yescharacteristic
190C23×C4×C139C2311yescharacteristic
191C23×C4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193#126×C139—24no—
194#126×C139—24no—
195#125×C139—24no—
196#125×C139—24no—
197#123×C139—24no—
198C4×Q8×C139—24no—
199C4×Q8×C139—24no—
200C4×Q8×C139—24no—
201C4×D4×C139—24no—
202#117×C139—24no—
203#117×C139—24no—
204#117×C139—24no—
205#117×C139—24no—
206#117×C139—24no—
207C2×C4⋊C4×C139C2311yescharacteristic
208C2×C4⋊C4×C139C2311yescharacteristic
209C2×C4⋊C4×C139C2311yescharacteristic
210C2×C4⋊C4×C139C2311yescharacteristic
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C4⋊C4×C139C2311yescharacteristic
213C2×C4⋊C4×C139C2311yescharacteristic
214C2×C4⋊C4×C139C2311yescharacteristic
215C2×C4⋊C4×C139C2311yescharacteristic
216C2×C4⋊C4×C139C2311yescharacteristic
217C2×C4⋊C4×C139C2311yescharacteristic
218C2×C4⋊C4×C139C2311yescharacteristic
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C22⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139C2311yescharacteristic
251C2×C22⋊C4×C139C2311yescharacteristic
252C2×C22⋊C4×C139C2311yescharacteristic
253C2×C22⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139C2311yescharacteristic
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C42×C139—24no—
274C2×C42×C139C2311yescharacteristic
275C2×C42×C139C2311yescharacteristic
276C2×C42×C139C2311yescharacteristic
277C2×C42×C139C2311yescharacteristic
278C2×C42×C139C2311yescharacteristic
279C2×C42×C139C2311yescharacteristic
280C2×C42×C139C2311yescharacteristic
281C2×C42×C139C2311yescharacteristic
282C2×C42×C139C2311yescharacteristic
283C2×C42×C139C2311yescharacteristic
284C2×C42×C139C2311yescharacteristic
285C2×C42×C139C2311yescharacteristic
286C2×C42×C139C2311yescharacteristic
287C2×C42×C139C2311yescharacteristic
288C2×C42×C139C2311yescharacteristic
289C2×C42×C139C2311yescharacteristic
290C2×C42×C139C2311yescharacteristic
291C2×C42×C139C2311yescharacteristic
292C2×C42×C139C2311yescharacteristic
293C2×C42×C139C2311yescharacteristic
294C2×C42×C139C2311yescharacteristic
295C2×C42×C139C2311yescharacteristic
296C2×C42×C139C2311yescharacteristic
297C2×C42×C139C2311yescharacteristic
298C2×C42×C139C2311yescharacteristic
299C2×C42×C139C2311yescharacteristic
300C2×C42×C139C2311yescharacteristic
301C2×C42×C139C2311yescharacteristic
302C2×C42×C139C2311yescharacteristic
303C2×C42×C139C2311yescharacteristic
304C2×C42×C139C2311yescharacteristic
305#95×C139C2311yescharacteristic
306#95×C139C2311yescharacteristic
307#95×C139C2311yescharacteristic
308#95×C139C2311yescharacteristic
309#95×C139C2311yescharacteristic
310#95×C139C2311yescharacteristic
311#95×C139C2311yescharacteristic
312#95×C139C2311yescharacteristic
313#95×C139C2311yescharacteristic
314#95×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357C24×C139C2411yescharacteristic
358C24×C139C2411yescharacteristic
359C2×Q8×C139—22no—
360C2×Q8×C139—22no—
361C2×Q8×C139—22no—
362C2×D4×C139—22no—
363C2×D4×C139—22no—
364C2×D4×C139—41no—
365C22×C4×C139—22no—
366C22×C4×C139—22no—
367C22×C4×C139—22no—
368C22×C4×C139—22no—
369C22×C4×C139—22no—
370C22×C4×C139—22no—
371C22×C4×C139—22no—
372C22×C4×C139—22no—
373C22×C4×C139—22no—
374C22×C4×C139—22no—
375C22×C4×C139—41no—
376C22×C4×C139#4114yes—
377C22×C4×C139C2411yescharacteristic
378C22×C4×C139C2411yescharacteristic
379C22×C4×C139C2411yescharacteristic
380C22×C4×C139C2411yescharacteristic
381C22×C4×C139C2411yescharacteristic
382C22×C4×C139C2411yescharacteristic
383C22×C4×C139C2411yescharacteristic
384C22×C4×C139C2411yescharacteristic
385C22×C4×C139C2411yescharacteristic
386C22×C4×C139C2411yescharacteristic
387C22×C4×C139C2411yescharacteristic
388C22×C4×C139C2411yescharacteristic
389C22×C4×C139C2411yescharacteristic
390C22×C4×C139C2411yescharacteristic
391C22×C4×C139C2411yescharacteristic
392C22×C4×C139C2411yescharacteristic
393C22×C4×C139C2411yescharacteristic
394C22×C4×C139C2411yescharacteristic
395C22×C4×C139C2411yescharacteristic
396C22×C4×C139C2411yescharacteristic
397C22×C4×C139C2411yescharacteristic
398C22×C4×C139C2411yescharacteristic
399C22×C4×C139C2411yescharacteristic
400C22×C4×C139C2411yescharacteristic
401C22×C4×C139C2411yescharacteristic
402C22×C4×C139C2411yescharacteristic
403C22×C4×C139C2411yescharacteristic
404C22×C4×C139C2411yescharacteristic
405C22×C4×C139C2411yescharacteristic
406C4⋊C4×C139—22no—
407C4⋊C4×C139—22no—
408C4⋊C4×C139—22no—
409C4⋊C4×C139—22no—
410C4⋊C4×C139—22no—
411C4⋊C4×C139—22no—
412C4⋊C4×C139—22no—
413C4⋊C4×C139—22no—
414C4⋊C4×C139—22no—
415C4⋊C4×C139—22no—
416C4⋊C4×C139—22no—
417C4⋊C4×C139—22no—
418C4⋊C4×C139—22no—
419C4⋊C4×C139—22no—
420C4⋊C4×C139—22no—
421C4⋊C4×C139—22no—
422C4⋊C4×C139—22no—
423C4⋊C4×C139—22no—
424C4⋊C4×C139—22no—
425C4⋊C4×C139—22no—
426C4⋊C4×C139—22no—
427C4⋊C4×C139—22no—
428C4⋊C4×C139—22no—
429C4⋊C4×C139—22no—
430C4⋊C4×C139—22no—
431C4⋊C4×C139—22no—
432C4⋊C4×C139—22no—
433C4⋊C4×C139—22no—
434C4⋊C4×C139—22no—
435C4⋊C4×C139—22no—
436C4⋊C4×C139—22no—
437C4⋊C4×C139—22no—
438C4⋊C4×C139—22no—
439C4⋊C4×C139—22no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139#4114yes—
447C4⋊C4×C139#4114yes—
448C22⋊C4×C139—22no—
449C22⋊C4×C139—22no—
450C22⋊C4×C139—22no—
451C22⋊C4×C139—22no—
452C22⋊C4×C139—22no—
453C22⋊C4×C139—22no—
454C22⋊C4×C139—22no—
455C22⋊C4×C139—22no—
456C22⋊C4×C139—22no—
457C22⋊C4×C139—22no—
458C22⋊C4×C139—22no—
459C22⋊C4×C139—22no—
460C22⋊C4×C139—22no—
461C22⋊C4×C139—22no—
462C22⋊C4×C139—22no—
463C22⋊C4×C139—22no—
464C22⋊C4×C139—22no—
465C22⋊C4×C139—22no—
466C22⋊C4×C139—22no—
467C22⋊C4×C139—22no—
468C22⋊C4×C139—22no—
469C22⋊C4×C139—41no—
470C22⋊C4×C139—41no—
471C22⋊C4×C139—41no—
472C42×C139—22no—
473C42×C139—22no—
474C42×C139—22no—
475C42×C139—22no—
476C42×C139—22no—
477C42×C139—22no—
478C42×C139—22no—
479C42×C139—22no—
480C42×C139—22no—
481C42×C139—22no—
482C42×C139—22no—
483C42×C139—22no—
484C42×C139—22no—
485C42×C139—22no—
486C42×C139—22no—
487C42×C139—22no—
488C42×C139—22no—
489C42×C139—22no—
490C42×C139—22no—
491C42×C139—22no—
492C42×C139—22no—
493C42×C139—22no—
494C42×C139—22no—
495C42×C139—22no—
496C42×C139—22no—
497C42×C139—41no—
498C42×C139—41no—
499C42×C139—41no—
500C42×C139—41no—
501C42×C139#4114yes—
502C42×C139#4114yes—
503C23×C139—21no—
504C23×C139—21no—
505C23×C139—21no—
506C23×C139—21no—
507C23×C139—21no—
508C23×C139—21no—
509C23×C139—21no—
510C23×C139—21no—
511C23×C139—21no—
512C23×C139—21no—
513C23×C139—21no—
514C23×C139—21no—
515C23×C139—21no—
516C23×C139C2×#4112yes—
517C23×C139C2511yescharacteristic
518Q8×C139—28no—
519D4×C139—44no—
520C2×C4×C139—28no—
521C2×C4×C139—21no—
522C2×C4×C139—21no—
523C2×C4×C139—21no—
524C2×C4×C139—21no—
525C2×C4×C139—21no—
526C2×C4×C139—21no—
527C2×C4×C139—21no—
528C2×C4×C139—21no—
529C2×C4×C139—21no—
530C2×C4×C139—21no—
531C2×C4×C139—21no—
532C2×C4×C139—21no—
533C2×C4×C139—21no—
534C2×C4×C139—21no—
535C2×C4×C139—21no—
536C2×C4×C139—21no—
537C2×C4×C139—21no—
538C2×C4×C139—21no—
539C2×C4×C139—21no—
540C2×C4×C139—21no—
541C2×C4×C139—21no—
542C2×C4×C139—21no—
543C2×C4×C139—21no—
544C2×C4×C139—21no—
545C2×C4×C139—28no—
546C2×C4×C139—21no—
547C2×C4×C139—21no—
548C2×C4×C139—21no—
549C2×C4×C139—21no—
550C2×C4×C139—21no—
551C2×C4×C139—21no—
552C2×C4×C139—21no—
553C2×C4×C139—21no—
554C2×C4×C139—21no—
555C2×C4×C139—21no—
556C2×C4×C139—21no—
557C2×C4×C139—21no—
558C2×C4×C139—21no—
559C2×C4×C139—21no—
560C2×C4×C139—21no—
561C2×C4×C139—21no—
562C2×C4×C139—21no—
563C2×C4×C139—21no—
564C2×C4×C139—21no—
565C2×C4×C139—21no—
566C2×C4×C139—21no—
567C2×C4×C139—21no—
568C2×C4×C139—21no—
569C2×C4×C139—21no—
570C2×C4×C139—21no—
571C2×C4×C139—21no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—44no—
595C2×C4×C139—44no—
596C2×C4×C139C2×#4112yes—
597C2×C4×C139C2×#4112yes—
598C2×C4×C139C2×#4112yes—
599C2×C4×C139C2×#4112yes—
600C2×C4×C139C2×#4112yes—
601C2×C4×C139C2×#4112yes—
602C2×C4×C139C2×#4112yes—
603C2×C4×C139C2×#4112yes—
604C2×C4×C139C2×#4112yes—
605C2×C4×C139C2×#4112yes—
606C2×C4×C139C2×#4112yes—
607C2×C4×C139C2×#4112yes—
608C2×C4×C139C2×#4112yes—
609C2×C4×C139C2×#4112yes—
610C2×C4×C1392−1+412yes—
611C22×C139—22no—
612C22×C139—22no—
613C22×C139—22no—
614C22×C139—41no—
615C22×C139—41no—
616C22×C139—41no—
617C22×C139—41no—
618C22×C139—41no—
619C22×C139—41no—
620C22×C139—41no—
621C22×C139—41no—
622C22×C139—41no—
623C22×C139—41no—
624C22×C139—41no—
625C22×C139C22×#4111yescharacteristic
626C22×C139C22×#4111yescharacteristic
627C22×C139C22×#4111yescharacteristic
628C22×C139C22×#4111yescharacteristic
629C22×C139C22×#4111yescharacteristic
630C22×C139C2×2−1+411yescharacteristic
631C22×C139#58511yescharacteristic
632C4×C139—22no—
633C4×C139—22no—
634C4×C139—22no—
635C4×C139—22no—
636C4×C139—22no—
637C4×C139—22no—
638C4×C139—22no—
639C4×C139—22no—
640C4×C139—22no—
641C4×C139—22no—
642C4×C139—22no—
643C4×C139—22no—
644C4×C139—41no—
645C4×C139—41no—
646C4×C139—41no—
647C4×C139—41no—
648C4×C139—41no—
649C4×C139—41no—
650C4×C139—41no—
651C4×C139—41no—
652C4×C139—41no—
653C4×C139—41no—
654C4×C139—41no—
655C4×C139—41no—
656C4×C139—41no—
657C4×C139—41no—
658C4×C139—41no—
659C4×C139—41no—
660C4×C139#55214yes—
661C2×C139—42no—
662C2×C139—81no—
663C2×C139#344411yescharacteristic
664C2×C139#344411yescharacteristic
665C2×C139#346111yescharacteristic
666C2×C139C2×#55211yescharacteristic
667C2×C139#347511yescharacteristic
668C2×C139#348011yescharacteristic
669C2×C139#348211yescharacteristic
670#34866C13911yesmaximal, characteristic, direct product factor, Sylow
671C139#3486611yescharacteristic, direct product factor, Sylow
672#2606C2×C13911yescharacteristic, complemented
673#2604C2×C13911yescharacteristic, complemented
674#2601C2×C13911yescharacteristic
675#2599C2×C13911yescharacteristic, complemented
676#2596C2×C13911yescharacteristic, complemented
677#2590C2×C13911yescharacteristic, complemented
678#2575C2×C13911yescharacteristic, complemented
679#2558C2×C13911yescharacteristic
680#2533C2×C13911yescharacteristic, complemented
681#2529C2×C13911yescharacteristic, complemented
682#2519C2×C13911yescharacteristic, complemented
683#2515C2×C13911yescharacteristic, complemented
684#2479C2×C13911yescharacteristic
685#2475C2×C13911yescharacteristic, complemented
686#2462C2×C13911yescharacteristic, complemented
687#2458C2×C13911yescharacteristic
688#2402C2×C13911yescharacteristic, complemented
689#2396C2×C13911yescharacteristic, complemented
690#2396C2×C13911yescharacteristic, complemented
691#2395C2×C13911yescharacteristic
692C4×#125C2×C13911yescharacteristic, complemented
693C4×#125C2×C13911yescharacteristic, complemented
694C4×#126C2×C13911yescharacteristic, complemented
695C4×#126C2×C13911yescharacteristic, complemented
696C4×#123C2×C13911yescharacteristic
697#2298C2×C13911yescharacteristic, complemented
698#2298C2×C13911yescharacteristic, complemented
699#2296C2×C13911yescharacteristic, complemented
700#2293C2×C13911yescharacteristic
701C42×Q8C2×C13911yescharacteristic, complemented
702C4×#117C2×C13911yescharacteristic, complemented
703C2×#126C22×C13911yescharacteristic
704C2×#126C22×C13911yescharacteristic
705C2×#125C22×C13911yescharacteristic
706C2×#125C22×C13911yescharacteristic
707C2×#123C22×C13911yescharacteristic
708C2×C4×Q8C22×C13911yescharacteristic
709C2×C4×Q8C22×C13911yescharacteristic
710C2×C4×Q8C22×C13911yescharacteristic
711C2×C4×D4C22×C13911yescharacteristic
712C2×#117C22×C13911yescharacteristic
713C2×#117C22×C13911yescharacteristic
714C2×#117C22×C13911yescharacteristic
715C2×#117C22×C13911yescharacteristic
716C2×#117C22×C13911yescharacteristic
717C22×C42C22×C13911yescharacteristic
718#400C22×C13911yescharacteristic
719#400C22×C13911yescharacteristic
720#400C22×C13911yescharacteristic
721#400C22×C13911yescharacteristic
722#400C22×C13911yescharacteristic
723#400C22×C13911yescharacteristic
724#400C22×C13911yescharacteristic
725#399C22×C13911yescharacteristic
726#399C22×C13911yescharacteristic
727#399C22×C13911yescharacteristic
728#398C22×C13911yescharacteristic
729#398C22×C13911yescharacteristic
730#398C22×C13911yescharacteristic
731#398C22×C13911yescharacteristic
732#398C22×C13911yescharacteristic
733#398C22×C13911yescharacteristic
734#398C22×C13911yescharacteristic
735#398C22×C13911yescharacteristic
736#398C22×C13911yescharacteristic
737#397C22×C13911yescharacteristic
738#397C22×C13911yescharacteristic
739#397C22×C13911yescharacteristic
740#396C22×C13911yescharacteristic
741#396C22×C13911yescharacteristic
742#396C22×C13911yescharacteristic
743#396C22×C13911yescharacteristic
744#395C22×C13911yescharacteristic
745#395C22×C13911yescharacteristic
746#394C22×C13911yescharacteristic
747#394C22×C13911yescharacteristic
748#393C22×C13911yescharacteristic
749#393C22×C13911yescharacteristic
750#390C22×C13911yescharacteristic
751#390C22×C13911yescharacteristic
752#389C22×C13911yescharacteristic
753#389C22×C13911yescharacteristic
754#389C22×C13911yescharacteristic
755#389C22×C13911yescharacteristic
756#389C22×C13911yescharacteristic
757#389C22×C13911yescharacteristic
758#389C22×C13911yescharacteristic
759#389C22×C13911yescharacteristic
760#389C22×C13911yescharacteristic
761#389C22×C13911yescharacteristic
762#388C22×C13911yescharacteristic
763#388C22×C13911yescharacteristic
764#388C22×C13911yescharacteristic
765#388C22×C13911yescharacteristic
766#388C22×C13911yescharacteristic
767#388C22×C13911yescharacteristic
768#388C22×C13911yescharacteristic
769#388C22×C13911yescharacteristic
770#388C22×C13911yescharacteristic
771#388C22×C13911yescharacteristic
772#388C22×C13911yescharacteristic
773#388C22×C13911yescharacteristic
774#388C22×C13911yescharacteristic
775#388C22×C13911yescharacteristic
776#388C22×C13911yescharacteristic
777#388C22×C13911yescharacteristic
778#388C22×C13911yescharacteristic
779#388C22×C13911yescharacteristic
780#388C22×C13911yescharacteristic
781#388C22×C13911yescharacteristic
782#387C22×C13911yescharacteristic
783#387C22×C13911yescharacteristic
784#387C22×C13911yescharacteristic
785#387C22×C13911yescharacteristic
786#387C22×C13911yescharacteristic
787#387C22×C13911yescharacteristic
788#387C22×C13911yescharacteristic
789#387C22×C13911yescharacteristic
790#387C22×C13911yescharacteristic
791#387C22×C13911yescharacteristic
792#387C22×C13911yescharacteristic
793#387C22×C13911yescharacteristic
794#387C22×C13911yescharacteristic
795#387C22×C13911yescharacteristic
796#387C22×C13911yescharacteristic
797#387C22×C13911yescharacteristic
798#387C22×C13911yescharacteristic
799#387C22×C13911yescharacteristic
800#387C22×C13911yescharacteristic
801#387C22×C13911yescharacteristic
802#387C22×C13911yescharacteristic
803#387C22×C13911yescharacteristic
804#387C22×C13911yescharacteristic
805#387C22×C13911yescharacteristic
806#386C22×C13911yescharacteristic
807#385C22×C13911yescharacteristic
808#385C22×C13911yescharacteristic
809#385C22×C13911yescharacteristic
810#385C22×C13911yescharacteristic
811#385C22×C13911yescharacteristic
812#383C22×C13911yescharacteristic
813#383C22×C13911yescharacteristic
814#382C22×C13911yescharacteristic
815#382C22×C13911yescharacteristic
816#381C22×C13911yescharacteristic
817C4×C4⋊C4C22×C13911yescharacteristic
818C4×C4⋊C4C22×C13911yescharacteristic
819C4×C4⋊C4C22×C13911yescharacteristic
820C4×C4⋊C4C22×C13911yescharacteristic
821C4×C4⋊C4C22×C13911yescharacteristic
822C4×C4⋊C4C22×C13911yescharacteristic
823C4×C4⋊C4C22×C13911yescharacteristic
824C4×C4⋊C4C22×C13911yescharacteristic
825C4×C4⋊C4C22×C13911yescharacteristic
826C4×C4⋊C4C22×C13911yescharacteristic
827C4×C4⋊C4C22×C13911yescharacteristic
828C4×C4⋊C4C22×C13911yescharacteristic
829C4×C4⋊C4C22×C13911yescharacteristic
830C4×C4⋊C4C22×C13911yescharacteristic
831C4×C4⋊C4C22×C13911yescharacteristic
832C4×C4⋊C4C22×C13911yescharacteristic
833C4×C4⋊C4C22×C13911yescharacteristic
834C4×C4⋊C4C22×C13911yescharacteristic
835C4×C4⋊C4C22×C13911yescharacteristic
836C4×C4⋊C4C22×C13911yescharacteristic
837C4×C4⋊C4C22×C13911yescharacteristic
838C4×C4⋊C4C22×C13911yescharacteristic
839C4×C4⋊C4C22×C13911yescharacteristic
840C4×C4⋊C4C22×C13911yescharacteristic
841C4×C22⋊C4C22×C13911yescharacteristic
842C4×C22⋊C4C22×C13911yescharacteristic
843C4×C22⋊C4C22×C13911yescharacteristic
844C4×C22⋊C4C22×C13911yescharacteristic
845C4×C22⋊C4C22×C13911yescharacteristic
846C4×C22⋊C4C22×C13911yescharacteristic
847C4×C22⋊C4C22×C13911yescharacteristic
848C4×C22⋊C4C22×C13911yescharacteristic
849C4×C22⋊C4C22×C13911yescharacteristic
850C4×C22⋊C4C22×C13911yescharacteristic
851#376C22×C13911yescharacteristic
852#376C22×C13911yescharacteristic
853#376C22×C13911yescharacteristic
854C43C22×C13911yescharacteristic
855C43C22×C13911yescharacteristic
856C43C22×C13911yescharacteristic
857C43C22×C13911yescharacteristic
858C22×Q8C23×C13911yescharacteristic
859C22×D4C23×C13911yescharacteristic
860C23×C4C23×C13911yescharacteristic
861C23×C4C23×C13911yescharacteristic
862C23×C4C23×C13911yescharacteristic
863C23×C4C23×C13911yescharacteristic
864#126—24no—
865#126—24no—
866#125—24no—
867#125—24no—
868#123—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×D4—24no—
873#117—24no—
874#117—24no—
875#117—24no—
876#117—24no—
877#117—24no—
878C2×C4⋊C4C23×C13911yescharacteristic
879C2×C4⋊C4C23×C13911yescharacteristic
880C2×C4⋊C4C23×C13911yescharacteristic
881C2×C4⋊C4C23×C13911yescharacteristic
882C2×C4⋊C4C23×C13911yescharacteristic
883C2×C4⋊C4C23×C13911yescharacteristic
884C2×C4⋊C4C23×C13911yescharacteristic
885C2×C4⋊C4C23×C13911yescharacteristic
886C2×C4⋊C4C23×C13911yescharacteristic
887C2×C4⋊C4C23×C13911yescharacteristic
888C2×C4⋊C4C23×C13911yescharacteristic
889C2×C4⋊C4C23×C13911yescharacteristic
890C2×C4⋊C4C23×C13911yescharacteristic
891C2×C4⋊C4C23×C13911yescharacteristic
892C2×C4⋊C4C23×C13911yescharacteristic
893C2×C4⋊C4C23×C13911yescharacteristic
894C2×C4⋊C4C23×C13911yescharacteristic
895C2×C4⋊C4C23×C13911yescharacteristic
896C2×C4⋊C4C23×C13911yescharacteristic
897C2×C4⋊C4C23×C13911yescharacteristic
898C2×C4⋊C4C23×C13911yescharacteristic
899C2×C4⋊C4C23×C13911yescharacteristic
900C2×C4⋊C4C23×C13911yescharacteristic
901C2×C4⋊C4C23×C13911yescharacteristic
902C2×C4⋊C4C23×C13911yescharacteristic
903C2×C4⋊C4C23×C13911yescharacteristic
904C2×C4⋊C4C23×C13911yescharacteristic
905C2×C4⋊C4C23×C13911yescharacteristic
906C2×C4⋊C4C23×C13911yescharacteristic
907C2×C4⋊C4C23×C13911yescharacteristic
908C2×C4⋊C4C23×C13911yescharacteristic
909C2×C4⋊C4C23×C13911yescharacteristic
910C2×C4⋊C4C23×C13911yescharacteristic
911C2×C4⋊C4C23×C13911yescharacteristic
912C2×C4⋊C4C23×C13911yescharacteristic
913C2×C4⋊C4C23×C13911yescharacteristic
914C2×C4⋊C4C23×C13911yescharacteristic
915C2×C4⋊C4C23×C13911yescharacteristic
916C2×C4⋊C4C23×C13911yescharacteristic
917C2×C4⋊C4C23×C13911yescharacteristic
918C2×C4⋊C4C23×C13911yescharacteristic
919C2×C4⋊C4C23×C13911yescharacteristic
920C2×C22⋊C4C23×C13911yescharacteristic
921C2×C22⋊C4C23×C13911yescharacteristic
922C2×C22⋊C4C23×C13911yescharacteristic
923C2×C22⋊C4C23×C13911yescharacteristic
924C2×C22⋊C4C23×C13911yescharacteristic
925C2×C22⋊C4C23×C13911yescharacteristic
926C2×C22⋊C4C23×C13911yescharacteristic
927C2×C22⋊C4C23×C13911yescharacteristic
928C2×C22⋊C4C23×C13911yescharacteristic
929C2×C22⋊C4C23×C13911yescharacteristic
930C2×C22⋊C4C23×C13911yescharacteristic
931C2×C22⋊C4C23×C13911yescharacteristic
932C2×C22⋊C4C23×C13911yescharacteristic
933C2×C22⋊C4C23×C13911yescharacteristic
934C2×C22⋊C4C23×C13911yescharacteristic
935C2×C22⋊C4C23×C13911yescharacteristic
936C2×C22⋊C4C23×C13911yescharacteristic
937C2×C22⋊C4C23×C13911yescharacteristic
938C2×C22⋊C4C23×C13911yescharacteristic
939C2×C22⋊C4C23×C13911yescharacteristic
940C2×C22⋊C4C23×C13911yescharacteristic
941C2×C22⋊C4C23×C13911yescharacteristic
942C2×C22⋊C4C23×C13911yescharacteristic
943C2×C22⋊C4C23×C13911yescharacteristic
944C2×C42—24no—
945C2×C42C23×C13911yescharacteristic
946C2×C42C23×C13911yescharacteristic
947C2×C42C23×C13911yescharacteristic
948C2×C42C23×C13911yescharacteristic
949C2×C42C23×C13911yescharacteristic
950C2×C42C23×C13911yescharacteristic
951C2×C42C23×C13911yescharacteristic
952C2×C42C23×C13911yescharacteristic
953C2×C42C23×C13911yescharacteristic
954C2×C42C23×C13911yescharacteristic
955C2×C42C23×C13911yescharacteristic
956C2×C42C23×C13911yescharacteristic
957C2×C42C23×C13911yescharacteristic
958C2×C42C23×C13911yescharacteristic
959C2×C42C23×C13911yescharacteristic
960C2×C42C23×C13911yescharacteristic
961C2×C42C23×C13911yescharacteristic
962C2×C42C23×C13911yescharacteristic
963C2×C42C23×C13911yescharacteristic
964C2×C42C23×C13911yescharacteristic
965C2×C42C23×C13911yescharacteristic
966C2×C42C23×C13911yescharacteristic
967C2×C42C23×C13911yescharacteristic
968C2×C42C23×C13911yescharacteristic
969C2×C42C23×C13911yescharacteristic
970C2×C42C23×C13911yescharacteristic
971C2×C42C23×C13911yescharacteristic
972C2×C42C23×C13911yescharacteristic
973C2×C42C23×C13911yescharacteristic
974C2×C42C23×C13911yescharacteristic
975C2×C42C23×C13911yescharacteristic
976#95C23×C13911yescharacteristic
977#95C23×C13911yescharacteristic
978#95C23×C13911yescharacteristic
979#95C23×C13911yescharacteristic
980#95C23×C13911yescharacteristic
981#95C23×C13911yescharacteristic
982#95C23×C13911yescharacteristic
983#95C23×C13911yescharacteristic
984#95C23×C13911yescharacteristic
985#95C23×C13911yescharacteristic
986#95C23×C13911yescharacteristic
987#95C23×C13911yescharacteristic
988#95C23×C13911yescharacteristic
989#95C23×C13911yescharacteristic
990#95C23×C13911yescharacteristic
991#95C23×C13911yescharacteristic
992#95C23×C13911yescharacteristic
993#95C23×C13911yescharacteristic
994#95C23×C13911yescharacteristic
995#95C23×C13911yescharacteristic
996#95C23×C13911yescharacteristic
997#95C23×C13911yescharacteristic
998#95C23×C13911yescharacteristic
999#95C23×C13911yescharacteristic
1000#95C23×C13911yescharacteristic
1001#95C23×C13911yescharacteristic
1002#95C23×C13911yescharacteristic
1003#95C23×C13911yescharacteristic
1004#95C23×C13911yescharacteristic
1005#95C23×C13911yescharacteristic
1006#95C23×C13911yescharacteristic
1007#95C23×C13911yescharacteristic
1008#95C23×C13911yescharacteristic
1009#95C23×C13911yescharacteristic
1010#95C23×C13911yescharacteristic
1011#95C23×C13911yescharacteristic
1012#95C23×C13911yescharacteristic
1013#95C23×C13911yescharacteristic
1014#95C23×C13911yescharacteristic
1015#95C23×C13911yescharacteristic
1016#95C23×C13911yescharacteristic
1017#95C23×C13911yescharacteristic
1018#95C23×C13911yescharacteristic
1019#95C23×C13911yescharacteristic
1020#95C23×C13911yescharacteristic
1021#95C23×C13911yescharacteristic
1022#95C23×C13911yescharacteristic
1023#95C23×C13911yescharacteristic
1024#95C23×C13911yescharacteristic
1025#95C23×C13911yescharacteristic
1026#95C23×C13911yescharacteristic
1027#95C23×C13911yescharacteristic
1028C24C24×C13911yescharacteristic
1029C24C24×C13911yescharacteristic
1030C2×Q8—22no—
1031C2×Q8—22no—
1032C2×Q8—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—41no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—41no—
1047C22×C4#41×C13914yes—
1048C22×C4C24×C13911yescharacteristic
1049C22×C4C24×C13911yescharacteristic
1050C22×C4C24×C13911yescharacteristic
1051C22×C4C24×C13911yescharacteristic
1052C22×C4C24×C13911yescharacteristic
1053C22×C4C24×C13911yescharacteristic
1054C22×C4C24×C13911yescharacteristic
1055C22×C4C24×C13911yescharacteristic
1056C22×C4C24×C13911yescharacteristic
1057C22×C4C24×C13911yescharacteristic
1058C22×C4C24×C13911yescharacteristic
1059C22×C4C24×C13911yescharacteristic
1060C22×C4C24×C13911yescharacteristic
1061C22×C4C24×C13911yescharacteristic
1062C22×C4C24×C13911yescharacteristic
1063C22×C4C24×C13911yescharacteristic
1064C22×C4C24×C13911yescharacteristic
1065C22×C4C24×C13911yescharacteristic
1066C22×C4C24×C13911yescharacteristic
1067C22×C4C24×C13911yescharacteristic
1068C22×C4C24×C13911yescharacteristic
1069C22×C4C24×C13911yescharacteristic
1070C22×C4C24×C13911yescharacteristic
1071C22×C4C24×C13911yescharacteristic
1072C22×C4C24×C13911yescharacteristic
1073C22×C4C24×C13911yescharacteristic
1074C22×C4C24×C13911yescharacteristic
1075C22×C4C24×C13911yescharacteristic
1076C22×C4C24×C13911yescharacteristic
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—22no—
1081C4⋊C4—22no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—22no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4#41×C13914yes—
1118C4⋊C4#41×C13914yes—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C42—22no—
1144C42—22no—
1145C42—22no—
1146C42—22no—
1147C42—22no—
1148C42—22no—
1149C42—22no—
1150C42—22no—
1151C42—22no—
1152C42—22no—
1153C42—22no—
1154C42—22no—
1155C42—22no—
1156C42—22no—
1157C42—22no—
1158C42—22no—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—22no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—22no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42#41×C13914yes—
1173C42#41×C13914yes—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23C2×#41×C13912yes—
1188C23C25×C13911yescharacteristic
1189Q8—28no—
1190D4—44no—
1191C2×C4—28no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—28no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—44no—
1266C2×C4—44no—
1267C2×C4C2×#41×C13912yes—
1268C2×C4C2×#41×C13912yes—
1269C2×C4C2×#41×C13912yes—
1270C2×C4C2×#41×C13912yes—
1271C2×C4C2×#41×C13912yes—
1272C2×C4C2×#41×C13912yes—
1273C2×C4C2×#41×C13912yes—
1274C2×C4C2×#41×C13912yes—
1275C2×C4C2×#41×C13912yes—
1276C2×C4C2×#41×C13912yes—
1277C2×C4C2×#41×C13912yes—
1278C2×C4C2×#41×C13912yes—
1279C2×C4C2×#41×C13912yes—
1280C2×C4C2×#41×C13912yes—
1281C2×C42−1+4×C13912yes—
1282C22—22no—
1283C22—22no—
1284C22—22no—
1285C22—41no—
1286C22—41no—
1287C22—41no—
1288C22—41no—
1289C22—41no—
1290C22—41no—
1291C22—41no—
1292C22—41no—
1293C22—41no—
1294C22—41no—
1295C22—41no—
1296C22C22×#41×C13911yescharacteristic
1297C22C22×#41×C13911yescharacteristic
1298C22C22×#41×C13911yescharacteristic
1299C22C22×#41×C13911yescharacteristic
1300C22C22×#41×C13911yescharacteristic
1301C22C2×2−1+4×C13911yescharacteristic
1302C22#585×C13911yescharacteristic
1303C4—22no—
1304C4—22no—
1305C4—22no—
1306C4—22no—
1307C4—22no—
1308C4—22no—
1309C4—22no—
1310C4—22no—
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—41no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4#552×C13914yes—
1332C2—42no—
1333C2—81no—
1334C2#3444×C13911yescharacteristic
1335C2#3444×C13911yescharacteristic
1336C2#3461×C13911yescharacteristic
1337C2C2×#552×C13911yescharacteristic
1338C2#3475×C13911yescharacteristic
1339C2#3480×C13911yescharacteristic
1340C2#3482×C13911yescharacteristic
subgroupG/H
centerC22×C4×C139C24
commutator, Frattini, cosocleC23C25×C139
socleC23×C139C25
prime radicalC22×D4×C139C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2606×C139C2semidirect
2. #2604×C139C2semidirect
4. #2599×C139C2semidirect
5. #2596×C139C2semidirect
6. #2590×C139C2semidirect
7. #2575×C139C2semidirect
9. #2533×C139C2semidirect
10. #2529×C139C2semidirect
11. #2519×C139C2semidirect
12. #2515×C139C2semidirect
14. #2475×C139C2semidirect
15. #2462×C139C2semidirect
17. #2402×C139C2semidirect
18. #2396×C139C2semidirect
19. #2396×C139C2semidirect
21. C4×#125×C139C2semidirect
22. C4×#125×C139C2semidirect
23. C4×#126×C139C2semidirect
24. C4×#126×C139C2semidirect
26. #2298×C139C2semidirect
27. #2298×C139C2semidirect
28. #2296×C139C2semidirect
30. C42×Q8×C139C2semidirect
31. C4×#117×C139C2semidirect
670. #34866C139direct (N × H)
671. C139#34866direct (N × H)
672. #2606C2×C139semidirect
673. #2604C2×C139semidirect
675. #2599C2×C139semidirect
676. #2596C2×C139semidirect
677. #2590C2×C139semidirect
678. #2575C2×C139semidirect
680. #2533C2×C139semidirect
681. #2529C2×C139semidirect
682. #2519C2×C139semidirect
683. #2515C2×C139semidirect
685. #2475C2×C139semidirect
686. #2462C2×C139semidirect
688. #2402C2×C139semidirect
689. #2396C2×C139semidirect
690. #2396C2×C139semidirect
692. C4×#125C2×C139semidirect
693. C4×#125C2×C139semidirect
694. C4×#126C2×C139semidirect
695. C4×#126C2×C139semidirect
697. #2298C2×C139semidirect
698. #2298C2×C139semidirect
699. #2296C2×C139semidirect
701. C42×Q8C2×C139semidirect
702. C4×#117C2×C139semidirect

Maximal subgroups

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

subgroupindex
#2606×C1392
#2604×C1392
#2601×C1392
#2599×C1392
#2596×C1392
#2590×C1392
#2575×C1392
#2558×C1392
#2533×C1392
#2529×C1392
#2519×C1392
#2515×C1392
#2479×C1392
#2475×C1392
#2462×C1392
#2458×C1392
#2402×C1392
#2396×C1392
#2395×C1392
C4×#125×C1392
C4×#126×C1392
C4×#123×C1392
#2298×C1392
#2296×C1392
#2293×C1392
C42×Q8×C1392
C4×#117×C1392
#34866139