Finite Group Databasebeta

← C139×#35795 #48030391

Subgroups — C139×#35795 #48030391

Order 35584.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2652×C139C211yesmaximal, characteristic, complemented
2#2649×C139C211yesmaximal, characteristic, complemented
3#2622×C139C211yesmaximal, characteristic
4#2597×C139C211yesmaximal, characteristic, complemented
5#2578×C139C211yesmaximal, characteristic, complemented
6#2576×C139C211yesmaximal, characteristic, complemented
7#2560×C139C211yesmaximal, characteristic, complemented
8#2530×C139C211yesmaximal, characteristic, complemented
9#2530×C139C211yesmaximal, characteristic, complemented
10#2523×C139C211yesmaximal, characteristic, complemented
11#2518×C139C211yesmaximal, characteristic, complemented
12#2517×C139C211yesmaximal, characteristic, complemented
13#2505×C139C211yesmaximal, characteristic, complemented
14#2495×C139C211yesmaximal, characteristic, complemented
15#2493×C139C211yesmaximal, characteristic, complemented
16#2488×C139C211yesmaximal, characteristic, complemented
17#2481×C139C211yesmaximal, characteristic, complemented
18#2466×C139C211yesmaximal, characteristic, complemented
19#2437×C139C211yesmaximal, characteristic, complemented
20#2421×C139C211yesmaximal, characteristic, complemented
21#2412×C139C211yesmaximal, characteristic
22#2401×C139C211yesmaximal, characteristic, complemented
23#2398×C139C211yesmaximal, characteristic, complemented
24C2×#397×C139C211yesmaximal, characteristic, complemented
25#2360×C139C211yesmaximal, characteristic, complemented
26#2359×C139C211yesmaximal, characteristic, complemented
27#2358×C139C211yesmaximal, characteristic
28#2353×C139C211yesmaximal, characteristic, complemented
29#2343×C139C211yesmaximal, characteristic, complemented
30#2342×C139C211yesmaximal, characteristic, complemented
31#2273×C139C211yesmaximal, characteristic, complemented
32C2×#126×C139C2211yescharacteristic, complemented
33C2×#123×C139C2211yescharacteristic
34C2×C22⋊Q8×C139C2211yescharacteristic
35C2×C22⋊Q8×C139C2211yescharacteristic
36C2×#120×C139C2211yescharacteristic
37C2×C4×Q8×C139C2211yescharacteristic, complemented
38C2×C4×D4×C139C2211yescharacteristic
39C2×C4×D4×C139C2211yescharacteristic
40C2×#117×C139C2211yescharacteristic
41C22×C4⋊C4×C139C2211yescharacteristic
42C22×C22⋊C4×C139C2211yescharacteristic
43C22×C22⋊C4×C139C2211yescharacteristic
44C22×C22⋊C4×C139C2211yescharacteristic
45C22×C22⋊C4×C139C2211yescharacteristic
46C22×C22⋊C4×C139C2211yescharacteristic
47#401×C139C2211yescharacteristic, complemented
48#400×C139C2211yescharacteristic, complemented
49#400×C139C2211yescharacteristic, complemented
50#400×C139C2211yescharacteristic, complemented
51#400×C139C2211yescharacteristic, complemented
52#400×C139C2211yescharacteristic, complemented
53#400×C139C2211yescharacteristic, complemented
54#400×C139C2211yescharacteristic, complemented
55#400×C139C2211yescharacteristic, complemented
56#400×C139C2211yescharacteristic, complemented
57#400×C139C2211yescharacteristic, complemented
58#399×C139C2211yescharacteristic
59#398×C139C2211yescharacteristic, complemented
60#397×C139C2211yescharacteristic
61#397×C139C2211yescharacteristic
62#397×C139C2211yescharacteristic
63#397×C139C2211yescharacteristic
64#397×C139C2211yescharacteristic
65#397×C139C2211yescharacteristic
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic
71#397×C139C2211yescharacteristic
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic, complemented
75#397×C139C2211yescharacteristic, complemented
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic, complemented
79#394×C139C2211yescharacteristic
80#394×C139C2211yescharacteristic
81#394×C139C2211yescharacteristic
82#394×C139C2211yescharacteristic
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic
85#393×C139C2211yescharacteristic
86#393×C139C2211yescharacteristic, complemented
87#391×C139C2211yescharacteristic, complemented
88#391×C139C2211yescharacteristic, complemented
89#390×C139C2211yescharacteristic
90#389×C139C2211yescharacteristic, complemented
91#389×C139C2211yescharacteristic, complemented
92#389×C139C2211yescharacteristic, complemented
93#389×C139C2211yescharacteristic, complemented
94#389×C139C2211yescharacteristic, complemented
95#388×C139C2211yescharacteristic
96#388×C139C2211yescharacteristic
97#388×C139C2211yescharacteristic
98#388×C139C2211yescharacteristic
99#388×C139C2211yescharacteristic
100#388×C139C2211yescharacteristic
101#388×C139C2211yescharacteristic, complemented
102#388×C139C2211yescharacteristic, complemented
103#388×C139C2211yescharacteristic, complemented
104#388×C139C2211yescharacteristic, complemented
105#388×C139C2211yescharacteristic, complemented
106#388×C139C2211yescharacteristic, complemented
107#388×C139C2211yescharacteristic, complemented
108#387×C139C2211yescharacteristic, complemented
109#387×C139C2211yescharacteristic, complemented
110#387×C139C2211yescharacteristic, complemented
111#387×C139C2211yescharacteristic, complemented
112#387×C139C2211yescharacteristic, complemented
113#387×C139C2211yescharacteristic, complemented
114#387×C139C2211yescharacteristic, complemented
115#387×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
118#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#386×C139C2211yescharacteristic
126#386×C139C2211yescharacteristic
127#386×C139C2211yescharacteristic
128#386×C139C2211yescharacteristic
129#386×C139C2211yescharacteristic
130#386×C139C2211yescharacteristic
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#385×C139C2211yescharacteristic
134#385×C139C2211yescharacteristic
135#385×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic, complemented
145#383×C139C2211yescharacteristic, complemented
146#383×C139C2211yescharacteristic, complemented
147#383×C139C2211yescharacteristic, complemented
148#382×C139C2211yescharacteristic, complemented
149#382×C139C2211yescharacteristic, complemented
150#382×C139C2211yescharacteristic, complemented
151#381×C139C2211yescharacteristic
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic, complemented
154#380×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#379×C139C2211yescharacteristic
160C4×C4⋊C4×C139C2211yescharacteristic, complemented
161C4×C4⋊C4×C139C2211yescharacteristic, complemented
162C4×C4⋊C4×C139C2211yescharacteristic, complemented
163C4×C22⋊C4×C139C2211yescharacteristic
164C4×C22⋊C4×C139C2211yescharacteristic
165C4×C22⋊C4×C139C2211yescharacteristic
166C4×C22⋊C4×C139C2211yescharacteristic
167C4×C22⋊C4×C139C2211yescharacteristic
168C4×C22⋊C4×C139C2211yescharacteristic
169C4×C22⋊C4×C139C2211yescharacteristic
170C4×C22⋊C4×C139C2211yescharacteristic
171C4×C22⋊C4×C139C2211yescharacteristic
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic, complemented
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182#376×C139C2211yescharacteristic, complemented
183#376×C139C2211yescharacteristic, complemented
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C23×C4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203#126×C139—42no—
204#123×C139—24no—
205C22⋊Q8×C139—24no—
206C22⋊Q8×C139—42no—
207#120×C139—24no—
208C4×Q8×C139—42no—
209C4×D4×C139—24no—
210C4×D4×C139—42no—
211#117×C139—24no—
212C2×C4⋊C4×C139—42no—
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×C22⋊C4×C139—24no—
242C2×C22⋊C4×C139—24no—
243C2×C22⋊C4×C139—24no—
244C2×C22⋊C4×C139—24no—
245C2×C22⋊C4×C139—42no—
246C2×C22⋊C4×C139C2311yescharacteristic
247C2×C22⋊C4×C139C2311yescharacteristic
248C2×C22⋊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×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×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
301#95×C139C2311yescharacteristic
302#95×C139C2311yescharacteristic
303#95×C139C2311yescharacteristic
304#95×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×C139—22no—
358C24×C139—22no—
359C24×C139—41no—
360C24×C139—41no—
361C24×C139—41no—
362C24×C139—41no—
363C24×C139#4114yes—
364C24×C139C2411yescharacteristic
365C24×C139C2411yescharacteristic
366C24×C139C2411yescharacteristic
367C24×C139C2411yescharacteristic
368C2×Q8×C139—22no—
369C2×Q8×C139—22no—
370C2×Q8×C139—41no—
371C2×D4×C139—22no—
372C2×D4×C139—22no—
373C2×D4×C139—22no—
374C2×D4×C139—22no—
375C2×D4×C139—22no—
376C2×D4×C139—41no—
377C2×D4×C139—41no—
378C2×D4×C139—41no—
379C2×D4×C139—41no—
380C22×C4×C139—22no—
381C22×C4×C139—22no—
382C22×C4×C139—22no—
383C22×C4×C139—22no—
384C22×C4×C139—22no—
385C22×C4×C139—22no—
386C22×C4×C139—22no—
387C22×C4×C139—22no—
388C22×C4×C139—22no—
389C22×C4×C139—22no—
390C22×C4×C139—22no—
391C22×C4×C139—22no—
392C22×C4×C139—22no—
393C22×C4×C139—22no—
394C22×C4×C139—41no—
395C22×C4×C139—41no—
396C22×C4×C139—41no—
397C22×C4×C139—41no—
398C22×C4×C139—41no—
399C22×C4×C139—41no—
400C22×C4×C139—41no—
401C22×C4×C139—41no—
402C22×C4×C139—41no—
403C22×C4×C139—41no—
404C22×C4×C139—41no—
405C22×C4×C139—41no—
406C22×C4×C139—41no—
407C22×C4×C139—41no—
408C22×C4×C139—41no—
409C22×C4×C139—41no—
410C22×C4×C139—41no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C22×C4×C139C2411yescharacteristic
417C22×C4×C139C2411yescharacteristic
418C22×C4×C139C2411yescharacteristic
419C22×C4×C139C2411yescharacteristic
420C22×C4×C139C2411yescharacteristic
421C22×C4×C139C2411yescharacteristic
422C22×C4×C139C2411yescharacteristic
423C22×C4×C139C2411yescharacteristic
424C22×C4×C139C2411yescharacteristic
425C22×C4×C139C2411yescharacteristic
426C22×C4×C139C2411yescharacteristic
427C22×C4×C139C2411yescharacteristic
428C22×C4×C139C2411yescharacteristic
429C22×C4×C139C2411yescharacteristic
430C22×C4×C139C2411yescharacteristic
431C22×C4×C139C2411yescharacteristic
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
440C4⋊C4×C139—22no—
441C4⋊C4×C139—22no—
442C4⋊C4×C139—22no—
443C4⋊C4×C139—22no—
444C4⋊C4×C139—22no—
445C4⋊C4×C139—22no—
446C4⋊C4×C139—22no—
447C4⋊C4×C139—22no—
448C4⋊C4×C139—22no—
449C4⋊C4×C139—22no—
450C4⋊C4×C139—22no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139—41no—
460C4⋊C4×C139—41no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C22⋊C4×C139—22no—
469C22⋊C4×C139—22no—
470C22⋊C4×C139—22no—
471C22⋊C4×C139—22no—
472C22⋊C4×C139—22no—
473C22⋊C4×C139—22no—
474C22⋊C4×C139—22no—
475C22⋊C4×C139—22no—
476C22⋊C4×C139—22no—
477C22⋊C4×C139—22no—
478C22⋊C4×C139—22no—
479C22⋊C4×C139—22no—
480C22⋊C4×C139—22no—
481C22⋊C4×C139—22no—
482C22⋊C4×C139—22no—
483C22⋊C4×C139—22no—
484C22⋊C4×C139—22no—
485C22⋊C4×C139—22no—
486C22⋊C4×C139—22no—
487C22⋊C4×C139—22no—
488C22⋊C4×C139—22no—
489C22⋊C4×C139—22no—
490C22⋊C4×C139—22no—
491C22⋊C4×C139—22no—
492C22⋊C4×C139—22no—
493C22⋊C4×C139—41no—
494C22⋊C4×C139—41no—
495C22⋊C4×C139—41no—
496C22⋊C4×C139—41no—
497C22⋊C4×C139—41no—
498C22⋊C4×C139—41no—
499C22⋊C4×C139—41no—
500C22⋊C4×C139—41no—
501C22⋊C4×C139—41no—
502C22⋊C4×C139—41no—
503C22⋊C4×C139—41no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139#4114yes—
507C22⋊C4×C139#4114yes—
508C42×C139—22no—
509C42×C139—22no—
510C42×C139—22no—
511C42×C139—22no—
512C42×C139—41no—
513C42×C139—41no—
514C42×C139—41no—
515C42×C139—41no—
516C42×C139—41no—
517C42×C139—41no—
518C42×C139—41no—
519C42×C139—41no—
520C42×C139—41no—
521C42×C139—41no—
522C42×C139—41no—
523C23×C139—21no—
524C23×C139—21no—
525C23×C139—21no—
526C23×C139—21no—
527C23×C139—21no—
528C23×C139—21no—
529C23×C139—21no—
530C23×C139—21no—
531C23×C139—21no—
532C23×C139—21no—
533C23×C139—21no—
534C23×C139—21no—
535C23×C139—21no—
536C23×C139—21no—
537C23×C139—21no—
538C23×C139—21no—
539C23×C139—28no—
540C23×C139—21no—
541C23×C139—21no—
542C23×C139—21no—
543C23×C139—21no—
544C23×C139—21no—
545C23×C139—21no—
546C23×C139—21no—
547C23×C139—44no—
548C23×C139—44no—
549C23×C139—82no—
550C23×C139—82no—
551C23×C139—82no—
552C23×C139—82no—
553C23×C139C2×#4112yes—
554C23×C139C2×#4112yes—
555C23×C139C2×#4112yes—
556C23×C139C2×#4112yes—
557C23×C139C2×#4112yes—
558C23×C139C2511yescharacteristic
559Q8×C139—44no—
560D4×C139—44no—
561D4×C139—44no—
562D4×C139—82no—
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—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—44no—
640C2×C4×C139—44no—
641C2×C4×C139—82no—
642C2×C4×C139—82no—
643C2×C4×C139—82no—
644C2×C4×C139—82no—
645C2×C4×C139—82no—
646C2×C4×C139—82no—
647C2×C4×C139—82no—
648C2×C4×C139—82no—
649C2×C4×C139—82no—
650C2×C4×C139C2×#4112yes—
651C2×C4×C139C2×#4112yes—
652C2×C4×C139C2×#4112yes—
653C2×C4×C139C2×#4112yes—
654C2×C4×C139H(5,𝔽2)12yes—
655C22×C139—22no—
656C22×C139—22no—
657C22×C139—22no—
658C22×C139—22no—
659C22×C139—22no—
660C22×C139—22no—
661C22×C139—22no—
662C22×C139—22no—
663C22×C139—22no—
664C22×C139—22no—
665C22×C139—22no—
666C22×C139—22no—
667C22×C139—41no—
668C22×C139—41no—
669C22×C139—41no—
670C22×C139—41no—
671C22×C139—41no—
672C22×C139—41no—
673C22×C139—41no—
674C22×C139—41no—
675C22×C139—41no—
676C22×C139—41no—
677C22×C139—41no—
678C22×C139—41no—
679C22×C139—41no—
680C22×C139—41no—
681C22×C139—41no—
682C22×C139—88no—
683C22×C139#52914yes—
684C22×C139C22×#4111yescharacteristic
685C22×C139C22×#4111yescharacteristic
686C22×C139C22×#4111yescharacteristic
687C22×C139C2×H(5,𝔽2)11yescharacteristic
688C22×C139#58511yescharacteristic
689C22×C139#58511yescharacteristic
690C22×C139#58511yescharacteristic
691C4×C139—22no—
692C4×C139—22no—
693C4×C139—22no—
694C4×C139—22no—
695C4×C139—22no—
696C4×C139—41no—
697C4×C139—41no—
698C4×C139—41no—
699C4×C139—41no—
700C4×C139—41no—
701C4×C139—41no—
702C4×C139—41no—
703C4×C139—41no—
704C4×C139—41no—
705C4×C139—41no—
706C4×C139—41no—
707C4×C139—41no—
708C4×C139—41no—
709C4×C139—41no—
710C4×C139—41no—
711C4×C139—41no—
712C4×C139—41no—
713C4×C139—41no—
714C4×C139—41no—
715C4×C139—41no—
716C4×C139—41no—
717C4×C139—41no—
718C2×C139—24no—
719C2×C139—42no—
720C2×C139—42no—
721C2×C139—81no—
722C2×C139C2×#52911yescharacteristic
723C2×C139#349111yescharacteristic
724C2×C139#350511yescharacteristic
725C2×C139#351311yescharacteristic
726C2×C139#351411yescharacteristic
727C2×C139#352111yescharacteristic
728C2×C139#352111yescharacteristic
729#35795C13911yesmaximal, characteristic, direct product factor, Sylow
730C139#3579511yescharacteristic, direct product factor, Sylow
731#2652C2×C13911yescharacteristic, complemented
732#2649C2×C13911yescharacteristic, complemented
733#2622C2×C13911yescharacteristic
734#2597C2×C13911yescharacteristic, complemented
735#2578C2×C13911yescharacteristic, complemented
736#2576C2×C13911yescharacteristic, complemented
737#2560C2×C13911yescharacteristic, complemented
738#2530C2×C13911yescharacteristic, complemented
739#2530C2×C13911yescharacteristic, complemented
740#2523C2×C13911yescharacteristic, complemented
741#2518C2×C13911yescharacteristic, complemented
742#2517C2×C13911yescharacteristic, complemented
743#2505C2×C13911yescharacteristic, complemented
744#2495C2×C13911yescharacteristic, complemented
745#2493C2×C13911yescharacteristic, complemented
746#2488C2×C13911yescharacteristic, complemented
747#2481C2×C13911yescharacteristic, complemented
748#2466C2×C13911yescharacteristic, complemented
749#2437C2×C13911yescharacteristic, complemented
750#2421C2×C13911yescharacteristic, complemented
751#2412C2×C13911yescharacteristic
752#2401C2×C13911yescharacteristic, complemented
753#2398C2×C13911yescharacteristic, complemented
754C2×#397C2×C13911yescharacteristic, complemented
755#2360C2×C13911yescharacteristic, complemented
756#2359C2×C13911yescharacteristic, complemented
757#2358C2×C13911yescharacteristic
758#2353C2×C13911yescharacteristic, complemented
759#2343C2×C13911yescharacteristic, complemented
760#2342C2×C13911yescharacteristic, complemented
761#2273C2×C13911yescharacteristic, complemented
762C2×#126C22×C13911yescharacteristic, complemented
763C2×#123C22×C13911yescharacteristic
764C2×C22⋊Q8C22×C13911yescharacteristic
765C2×C22⋊Q8C22×C13911yescharacteristic
766C2×#120C22×C13911yescharacteristic
767C2×C4×Q8C22×C13911yescharacteristic, complemented
768C2×C4×D4C22×C13911yescharacteristic
769C2×C4×D4C22×C13911yescharacteristic
770C2×#117C22×C13911yescharacteristic
771C22×C4⋊C4C22×C13911yescharacteristic
772C22×C22⋊C4C22×C13911yescharacteristic
773C22×C22⋊C4C22×C13911yescharacteristic
774C22×C22⋊C4C22×C13911yescharacteristic
775C22×C22⋊C4C22×C13911yescharacteristic
776C22×C22⋊C4C22×C13911yescharacteristic
777#401C22×C13911yescharacteristic, complemented
778#400C22×C13911yescharacteristic, complemented
779#400C22×C13911yescharacteristic, complemented
780#400C22×C13911yescharacteristic, complemented
781#400C22×C13911yescharacteristic, complemented
782#400C22×C13911yescharacteristic, complemented
783#400C22×C13911yescharacteristic, complemented
784#400C22×C13911yescharacteristic, complemented
785#400C22×C13911yescharacteristic, complemented
786#400C22×C13911yescharacteristic, complemented
787#400C22×C13911yescharacteristic, complemented
788#399C22×C13911yescharacteristic
789#398C22×C13911yescharacteristic, complemented
790#397C22×C13911yescharacteristic
791#397C22×C13911yescharacteristic
792#397C22×C13911yescharacteristic
793#397C22×C13911yescharacteristic
794#397C22×C13911yescharacteristic
795#397C22×C13911yescharacteristic
796#397C22×C13911yescharacteristic
797#397C22×C13911yescharacteristic
798#397C22×C13911yescharacteristic
799#397C22×C13911yescharacteristic
800#397C22×C13911yescharacteristic
801#397C22×C13911yescharacteristic
802#397C22×C13911yescharacteristic
803#397C22×C13911yescharacteristic
804#397C22×C13911yescharacteristic, complemented
805#397C22×C13911yescharacteristic, complemented
806#396C22×C13911yescharacteristic
807#396C22×C13911yescharacteristic
808#396C22×C13911yescharacteristic, complemented
809#394C22×C13911yescharacteristic
810#394C22×C13911yescharacteristic
811#394C22×C13911yescharacteristic
812#394C22×C13911yescharacteristic
813#394C22×C13911yescharacteristic
814#394C22×C13911yescharacteristic
815#393C22×C13911yescharacteristic
816#393C22×C13911yescharacteristic, complemented
817#391C22×C13911yescharacteristic, complemented
818#391C22×C13911yescharacteristic, complemented
819#390C22×C13911yescharacteristic
820#389C22×C13911yescharacteristic, complemented
821#389C22×C13911yescharacteristic, complemented
822#389C22×C13911yescharacteristic, complemented
823#389C22×C13911yescharacteristic, complemented
824#389C22×C13911yescharacteristic, complemented
825#388C22×C13911yescharacteristic
826#388C22×C13911yescharacteristic
827#388C22×C13911yescharacteristic
828#388C22×C13911yescharacteristic
829#388C22×C13911yescharacteristic
830#388C22×C13911yescharacteristic
831#388C22×C13911yescharacteristic, complemented
832#388C22×C13911yescharacteristic, complemented
833#388C22×C13911yescharacteristic, complemented
834#388C22×C13911yescharacteristic, complemented
835#388C22×C13911yescharacteristic, complemented
836#388C22×C13911yescharacteristic, complemented
837#388C22×C13911yescharacteristic, complemented
838#387C22×C13911yescharacteristic, complemented
839#387C22×C13911yescharacteristic, complemented
840#387C22×C13911yescharacteristic, complemented
841#387C22×C13911yescharacteristic, complemented
842#387C22×C13911yescharacteristic, complemented
843#387C22×C13911yescharacteristic, complemented
844#387C22×C13911yescharacteristic, complemented
845#387C22×C13911yescharacteristic, complemented
846#387C22×C13911yescharacteristic, complemented
847#387C22×C13911yescharacteristic, complemented
848#387C22×C13911yescharacteristic, complemented
849#387C22×C13911yescharacteristic, complemented
850#387C22×C13911yescharacteristic, complemented
851#387C22×C13911yescharacteristic, complemented
852#387C22×C13911yescharacteristic, complemented
853#387C22×C13911yescharacteristic, complemented
854#387C22×C13911yescharacteristic, complemented
855#386C22×C13911yescharacteristic
856#386C22×C13911yescharacteristic
857#386C22×C13911yescharacteristic
858#386C22×C13911yescharacteristic
859#386C22×C13911yescharacteristic
860#386C22×C13911yescharacteristic
861#386C22×C13911yescharacteristic
862#386C22×C13911yescharacteristic
863#385C22×C13911yescharacteristic
864#385C22×C13911yescharacteristic
865#385C22×C13911yescharacteristic
866#385C22×C13911yescharacteristic
867#385C22×C13911yescharacteristic
868#385C22×C13911yescharacteristic
869#385C22×C13911yescharacteristic
870#385C22×C13911yescharacteristic
871#385C22×C13911yescharacteristic
872#385C22×C13911yescharacteristic
873#385C22×C13911yescharacteristic
874#385C22×C13911yescharacteristic, complemented
875#383C22×C13911yescharacteristic, complemented
876#383C22×C13911yescharacteristic, complemented
877#383C22×C13911yescharacteristic, complemented
878#382C22×C13911yescharacteristic, complemented
879#382C22×C13911yescharacteristic, complemented
880#382C22×C13911yescharacteristic, complemented
881#381C22×C13911yescharacteristic
882#381C22×C13911yescharacteristic
883#381C22×C13911yescharacteristic, complemented
884#380C22×C13911yescharacteristic
885#380C22×C13911yescharacteristic
886#380C22×C13911yescharacteristic
887#380C22×C13911yescharacteristic
888#380C22×C13911yescharacteristic
889#379C22×C13911yescharacteristic
890C4×C4⋊C4C22×C13911yescharacteristic, complemented
891C4×C4⋊C4C22×C13911yescharacteristic, complemented
892C4×C4⋊C4C22×C13911yescharacteristic, complemented
893C4×C22⋊C4C22×C13911yescharacteristic
894C4×C22⋊C4C22×C13911yescharacteristic
895C4×C22⋊C4C22×C13911yescharacteristic
896C4×C22⋊C4C22×C13911yescharacteristic
897C4×C22⋊C4C22×C13911yescharacteristic
898C4×C22⋊C4C22×C13911yescharacteristic
899C4×C22⋊C4C22×C13911yescharacteristic
900C4×C22⋊C4C22×C13911yescharacteristic
901C4×C22⋊C4C22×C13911yescharacteristic
902C4×C22⋊C4C22×C13911yescharacteristic
903C4×C22⋊C4C22×C13911yescharacteristic
904C4×C22⋊C4C22×C13911yescharacteristic
905C4×C22⋊C4C22×C13911yescharacteristic
906C4×C22⋊C4C22×C13911yescharacteristic
907C4×C22⋊C4C22×C13911yescharacteristic
908C4×C22⋊C4C22×C13911yescharacteristic
909C4×C22⋊C4C22×C13911yescharacteristic
910C4×C22⋊C4C22×C13911yescharacteristic, complemented
911C4×C22⋊C4C22×C13911yescharacteristic, complemented
912#376C22×C13911yescharacteristic, complemented
913#376C22×C13911yescharacteristic, complemented
914C2×#95C22×C13911yescharacteristic
915C2×#95C22×C13911yescharacteristic
916C2×#95C22×C13911yescharacteristic
917C25C23×C13911yescharacteristic
918C22×Q8C23×C13911yescharacteristic
919C22×D4C23×C13911yescharacteristic
920C22×D4C23×C13911yescharacteristic
921C22×D4C23×C13911yescharacteristic
922C23×C4C23×C13911yescharacteristic
923C23×C4C23×C13911yescharacteristic
924C23×C4C23×C13911yescharacteristic
925C23×C4C23×C13911yescharacteristic
926C23×C4C23×C13911yescharacteristic
927C23×C4C23×C13911yescharacteristic
928C23×C4C23×C13911yescharacteristic
929C23×C4C23×C13911yescharacteristic
930C23×C4C23×C13911yescharacteristic
931C23×C4C23×C13911yescharacteristic
932C23×C4C23×C13911yescharacteristic
933#126—42no—
934#123—24no—
935C22⋊Q8—24no—
936C22⋊Q8—42no—
937#120—24no—
938C4×Q8—42no—
939C4×D4—24no—
940C4×D4—42no—
941#117—24no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4C23×C13911yescharacteristic
944C2×C4⋊C4C23×C13911yescharacteristic
945C2×C4⋊C4C23×C13911yescharacteristic
946C2×C4⋊C4C23×C13911yescharacteristic
947C2×C4⋊C4C23×C13911yescharacteristic
948C2×C4⋊C4C23×C13911yescharacteristic
949C2×C4⋊C4C23×C13911yescharacteristic
950C2×C4⋊C4C23×C13911yescharacteristic
951C2×C4⋊C4C23×C13911yescharacteristic
952C2×C4⋊C4C23×C13911yescharacteristic
953C2×C4⋊C4C23×C13911yescharacteristic
954C2×C4⋊C4C23×C13911yescharacteristic
955C2×C4⋊C4C23×C13911yescharacteristic
956C2×C4⋊C4C23×C13911yescharacteristic
957C2×C4⋊C4C23×C13911yescharacteristic
958C2×C4⋊C4C23×C13911yescharacteristic
959C2×C4⋊C4C23×C13911yescharacteristic
960C2×C4⋊C4C23×C13911yescharacteristic
961C2×C4⋊C4C23×C13911yescharacteristic
962C2×C4⋊C4C23×C13911yescharacteristic
963C2×C4⋊C4C23×C13911yescharacteristic
964C2×C4⋊C4C23×C13911yescharacteristic
965C2×C4⋊C4C23×C13911yescharacteristic
966C2×C4⋊C4C23×C13911yescharacteristic
967C2×C4⋊C4C23×C13911yescharacteristic
968C2×C4⋊C4C23×C13911yescharacteristic
969C2×C4⋊C4C23×C13911yescharacteristic
970C2×C4⋊C4C23×C13911yescharacteristic
971C2×C22⋊C4—24no—
972C2×C22⋊C4—24no—
973C2×C22⋊C4—24no—
974C2×C22⋊C4—24no—
975C2×C22⋊C4—42no—
976C2×C22⋊C4C23×C13911yescharacteristic
977C2×C22⋊C4C23×C13911yescharacteristic
978C2×C22⋊C4C23×C13911yescharacteristic
979C2×C22⋊C4C23×C13911yescharacteristic
980C2×C22⋊C4C23×C13911yescharacteristic
981C2×C22⋊C4C23×C13911yescharacteristic
982C2×C22⋊C4C23×C13911yescharacteristic
983C2×C22⋊C4C23×C13911yescharacteristic
984C2×C22⋊C4C23×C13911yescharacteristic
985C2×C22⋊C4C23×C13911yescharacteristic
986C2×C22⋊C4C23×C13911yescharacteristic
987C2×C22⋊C4C23×C13911yescharacteristic
988C2×C22⋊C4C23×C13911yescharacteristic
989C2×C22⋊C4C23×C13911yescharacteristic
990C2×C22⋊C4C23×C13911yescharacteristic
991C2×C22⋊C4C23×C13911yescharacteristic
992C2×C22⋊C4C23×C13911yescharacteristic
993C2×C22⋊C4C23×C13911yescharacteristic
994C2×C22⋊C4C23×C13911yescharacteristic
995C2×C22⋊C4C23×C13911yescharacteristic
996C2×C22⋊C4C23×C13911yescharacteristic
997C2×C22⋊C4C23×C13911yescharacteristic
998C2×C22⋊C4C23×C13911yescharacteristic
999C2×C22⋊C4C23×C13911yescharacteristic
1000C2×C22⋊C4C23×C13911yescharacteristic
1001C2×C22⋊C4C23×C13911yescharacteristic
1002C2×C22⋊C4C23×C13911yescharacteristic
1003C2×C22⋊C4C23×C13911yescharacteristic
1004C2×C22⋊C4C23×C13911yescharacteristic
1005C2×C22⋊C4C23×C13911yescharacteristic
1006C2×C22⋊C4C23×C13911yescharacteristic
1007C2×C22⋊C4C23×C13911yescharacteristic
1008C2×C22⋊C4C23×C13911yescharacteristic
1009C2×C22⋊C4C23×C13911yescharacteristic
1010C2×C22⋊C4C23×C13911yescharacteristic
1011C2×C22⋊C4C23×C13911yescharacteristic
1012C2×C22⋊C4C23×C13911yescharacteristic
1013C2×C22⋊C4C23×C13911yescharacteristic
1014C2×C22⋊C4C23×C13911yescharacteristic
1015C2×C22⋊C4C23×C13911yescharacteristic
1016C2×C42C23×C13911yescharacteristic
1017C2×C42C23×C13911yescharacteristic
1018C2×C42C23×C13911yescharacteristic
1019C2×C42C23×C13911yescharacteristic
1020C2×C42C23×C13911yescharacteristic
1021C2×C42C23×C13911yescharacteristic
1022C2×C42C23×C13911yescharacteristic
1023C2×C42C23×C13911yescharacteristic
1024C2×C42C23×C13911yescharacteristic
1025C2×C42C23×C13911yescharacteristic
1026C2×C42C23×C13911yescharacteristic
1027C2×C42C23×C13911yescharacteristic
1028C2×C42C23×C13911yescharacteristic
1029C2×C42C23×C13911yescharacteristic
1030C2×C42C23×C13911yescharacteristic
1031#95C23×C13911yescharacteristic
1032#95C23×C13911yescharacteristic
1033#95C23×C13911yescharacteristic
1034#95C23×C13911yescharacteristic
1035#95C23×C13911yescharacteristic
1036#95C23×C13911yescharacteristic
1037#95C23×C13911yescharacteristic
1038#95C23×C13911yescharacteristic
1039#95C23×C13911yescharacteristic
1040#95C23×C13911yescharacteristic
1041#95C23×C13911yescharacteristic
1042#95C23×C13911yescharacteristic
1043#95C23×C13911yescharacteristic
1044#95C23×C13911yescharacteristic
1045#95C23×C13911yescharacteristic
1046#95C23×C13911yescharacteristic
1047#95C23×C13911yescharacteristic
1048#95C23×C13911yescharacteristic
1049#95C23×C13911yescharacteristic
1050#95C23×C13911yescharacteristic
1051#95C23×C13911yescharacteristic
1052#95C23×C13911yescharacteristic
1053#95C23×C13911yescharacteristic
1054#95C23×C13911yescharacteristic
1055#95C23×C13911yescharacteristic
1056#95C23×C13911yescharacteristic
1057#95C23×C13911yescharacteristic
1058#95C23×C13911yescharacteristic
1059#95C23×C13911yescharacteristic
1060#95C23×C13911yescharacteristic
1061#95C23×C13911yescharacteristic
1062#95C23×C13911yescharacteristic
1063#95C23×C13911yescharacteristic
1064#95C23×C13911yescharacteristic
1065#95C23×C13911yescharacteristic
1066#95C23×C13911yescharacteristic
1067#95C23×C13911yescharacteristic
1068#95C23×C13911yescharacteristic
1069#95C23×C13911yescharacteristic
1070#95C23×C13911yescharacteristic
1071#95C23×C13911yescharacteristic
1072#95C23×C13911yescharacteristic
1073#95C23×C13911yescharacteristic
1074#95C23×C13911yescharacteristic
1075#95C23×C13911yescharacteristic
1076#95C23×C13911yescharacteristic
1077#95C23×C13911yescharacteristic
1078#95C23×C13911yescharacteristic
1079#95C23×C13911yescharacteristic
1080#95C23×C13911yescharacteristic
1081#95C23×C13911yescharacteristic
1082#95C23×C13911yescharacteristic
1083#95C23×C13911yescharacteristic
1084#95C23×C13911yescharacteristic
1085#95C23×C13911yescharacteristic
1086#95C23×C13911yescharacteristic
1087C24—22no—
1088C24—22no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24#41×C13914yes—
1094C24C24×C13911yescharacteristic
1095C24C24×C13911yescharacteristic
1096C24C24×C13911yescharacteristic
1097C24C24×C13911yescharacteristic
1098C2×Q8—22no—
1099C2×Q8—22no—
1100C2×Q8—41no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4C24×C13911yescharacteristic
1144C22×C4C24×C13911yescharacteristic
1145C22×C4C24×C13911yescharacteristic
1146C22×C4C24×C13911yescharacteristic
1147C22×C4C24×C13911yescharacteristic
1148C22×C4C24×C13911yescharacteristic
1149C22×C4C24×C13911yescharacteristic
1150C22×C4C24×C13911yescharacteristic
1151C22×C4C24×C13911yescharacteristic
1152C22×C4C24×C13911yescharacteristic
1153C22×C4C24×C13911yescharacteristic
1154C22×C4C24×C13911yescharacteristic
1155C22×C4C24×C13911yescharacteristic
1156C22×C4C24×C13911yescharacteristic
1157C22×C4C24×C13911yescharacteristic
1158C22×C4C24×C13911yescharacteristic
1159C22×C4C24×C13911yescharacteristic
1160C22×C4C24×C13911yescharacteristic
1161C22×C4C24×C13911yescharacteristic
1162C22×C4C24×C13911yescharacteristic
1163C22×C4C24×C13911yescharacteristic
1164C22×C4C24×C13911yescharacteristic
1165C22×C4C24×C13911yescharacteristic
1166C22×C4C24×C13911yescharacteristic
1167C22×C4C24×C13911yescharacteristic
1168C22×C4C24×C13911yescharacteristic
1169C22×C4C24×C13911yescharacteristic
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4#41×C13914yes—
1237C22⋊C4#41×C13914yes—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—41no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—28no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—44no—
1278C23—44no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23C2×#41×C13912yes—
1284C23C2×#41×C13912yes—
1285C23C2×#41×C13912yes—
1286C23C2×#41×C13912yes—
1287C23C2×#41×C13912yes—
1288C23C25×C13911yescharacteristic
1289Q8—44no—
1290D4—44no—
1291D4—44no—
1292D4—82no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4—82no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4C2×#41×C13912yes—
1381C2×C4C2×#41×C13912yes—
1382C2×C4C2×#41×C13912yes—
1383C2×C4C2×#41×C13912yes—
1384C2×C4H(5,𝔽2)×C13912yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—88no—
1413C22#529×C13914yes—
1414C22C22×#41×C13911yescharacteristic
1415C22C22×#41×C13911yescharacteristic
1416C22C22×#41×C13911yescharacteristic
1417C22C2×H(5,𝔽2)×C13911yescharacteristic
1418C22#585×C13911yescharacteristic
1419C22#585×C13911yescharacteristic
1420C22#585×C13911yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—22no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2C2×#529×C13911yescharacteristic
1453C2#3491×C13911yescharacteristic
1454C2#3505×C13911yescharacteristic
1455C2#3513×C13911yescharacteristic
1456C2#3514×C13911yescharacteristic
1457C2#3521×C13911yescharacteristic
1458C2#3521×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC2×#120×C139C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2652×C139C2semidirect
2. #2649×C139C2semidirect
4. #2597×C139C2semidirect
5. #2578×C139C2semidirect
6. #2576×C139C2semidirect
7. #2560×C139C2semidirect
8. #2530×C139C2semidirect
9. #2530×C139C2semidirect
10. #2523×C139C2semidirect
11. #2518×C139C2semidirect
12. #2517×C139C2semidirect
13. #2505×C139C2semidirect
14. #2495×C139C2semidirect
15. #2493×C139C2semidirect
16. #2488×C139C2semidirect
17. #2481×C139C2semidirect
18. #2466×C139C2semidirect
19. #2437×C139C2semidirect
20. #2421×C139C2semidirect
22. #2401×C139C2semidirect
23. #2398×C139C2semidirect
24. C2×#397×C139C2semidirect
25. #2360×C139C2semidirect
26. #2359×C139C2semidirect
28. #2353×C139C2semidirect
29. #2343×C139C2semidirect
30. #2342×C139C2semidirect
31. #2273×C139C2semidirect
32. C2×#126×C139C22semidirect
37. C2×C4×Q8×C139C22semidirect
47. #401×C139C22semidirect
48. #400×C139C22semidirect
49. #400×C139C22semidirect
50. #400×C139C22semidirect
51. #400×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
59. #398×C139C22semidirect
74. #397×C139C22semidirect
75. #397×C139C22semidirect
78. #396×C139C22semidirect
86. #393×C139C22semidirect
87. #391×C139C22semidirect
88. #391×C139C22semidirect
90. #389×C139C22semidirect
91. #389×C139C22semidirect
92. #389×C139C22semidirect
93. #389×C139C22semidirect
94. #389×C139C22semidirect
101. #388×C139C22semidirect
102. #388×C139C22semidirect
103. #388×C139C22semidirect
104. #388×C139C22semidirect
105. #388×C139C22semidirect
106. #388×C139C22semidirect
107. #388×C139C22semidirect
108. #387×C139C22semidirect
109. #387×C139C22semidirect
110. #387×C139C22semidirect
111. #387×C139C22semidirect
112. #387×C139C22semidirect
113. #387×C139C22semidirect
114. #387×C139C22semidirect
115. #387×C139C22semidirect
116. #387×C139C22semidirect
117. #387×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
144. #385×C139C22semidirect
145. #383×C139C22semidirect
146. #383×C139C22semidirect
147. #383×C139C22semidirect
148. #382×C139C22semidirect
149. #382×C139C22semidirect
150. #382×C139C22semidirect
153. #381×C139C22semidirect
160. C4×C4⋊C4×C139C22semidirect
161. C4×C4⋊C4×C139C22semidirect
162. C4×C4⋊C4×C139C22semidirect
180. C4×C22⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. #376×C139C22semidirect
183. #376×C139C22semidirect
729. #35795C139direct (N × H)
730. C139#35795direct (N × H)
731. #2652C2×C139semidirect
732. #2649C2×C139semidirect
734. #2597C2×C139semidirect
735. #2578C2×C139semidirect
736. #2576C2×C139semidirect
737. #2560C2×C139semidirect
738. #2530C2×C139semidirect
739. #2530C2×C139semidirect
740. #2523C2×C139semidirect
741. #2518C2×C139semidirect
742. #2517C2×C139semidirect
743. #2505C2×C139semidirect
744. #2495C2×C139semidirect
745. #2493C2×C139semidirect
746. #2488C2×C139semidirect
747. #2481C2×C139semidirect
748. #2466C2×C139semidirect
749. #2437C2×C139semidirect
750. #2421C2×C139semidirect
752. #2401C2×C139semidirect
753. #2398C2×C139semidirect
754. C2×#397C2×C139semidirect
755. #2360C2×C139semidirect
756. #2359C2×C139semidirect
758. #2353C2×C139semidirect
759. #2343C2×C139semidirect
760. #2342C2×C139semidirect
761. #2273C2×C139semidirect
762. C2×#126C22×C139semidirect
767. C2×C4×Q8C22×C139semidirect
777. #401C22×C139semidirect
778. #400C22×C139semidirect
779. #400C22×C139semidirect
780. #400C22×C139semidirect
781. #400C22×C139semidirect
782. #400C22×C139semidirect
783. #400C22×C139semidirect
784. #400C22×C139semidirect
785. #400C22×C139semidirect
786. #400C22×C139semidirect
787. #400C22×C139semidirect
789. #398C22×C139semidirect
804. #397C22×C139semidirect
805. #397C22×C139semidirect
808. #396C22×C139semidirect
816. #393C22×C139semidirect
817. #391C22×C139semidirect
818. #391C22×C139semidirect
820. #389C22×C139semidirect
821. #389C22×C139semidirect
822. #389C22×C139semidirect
823. #389C22×C139semidirect
824. #389C22×C139semidirect
831. #388C22×C139semidirect
832. #388C22×C139semidirect
833. #388C22×C139semidirect
834. #388C22×C139semidirect
835. #388C22×C139semidirect
836. #388C22×C139semidirect
837. #388C22×C139semidirect
838. #387C22×C139semidirect
839. #387C22×C139semidirect
840. #387C22×C139semidirect
841. #387C22×C139semidirect
842. #387C22×C139semidirect
843. #387C22×C139semidirect
844. #387C22×C139semidirect
845. #387C22×C139semidirect
846. #387C22×C139semidirect
847. #387C22×C139semidirect
848. #387C22×C139semidirect
849. #387C22×C139semidirect
850. #387C22×C139semidirect
851. #387C22×C139semidirect
852. #387C22×C139semidirect
853. #387C22×C139semidirect
854. #387C22×C139semidirect
874. #385C22×C139semidirect
875. #383C22×C139semidirect
876. #383C22×C139semidirect
877. #383C22×C139semidirect
878. #382C22×C139semidirect
879. #382C22×C139semidirect
880. #382C22×C139semidirect
883. #381C22×C139semidirect
890. C4×C4⋊C4C22×C139semidirect
891. C4×C4⋊C4C22×C139semidirect
892. C4×C4⋊C4C22×C139semidirect
910. C4×C22⋊C4C22×C139semidirect
911. C4×C22⋊C4C22×C139semidirect
912. #376C22×C139semidirect
913. #376C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2652×C1392
#2649×C1392
#2622×C1392
#2597×C1392
#2578×C1392
#2576×C1392
#2560×C1392
#2530×C1392
#2523×C1392
#2518×C1392
#2517×C1392
#2505×C1392
#2495×C1392
#2493×C1392
#2488×C1392
#2481×C1392
#2466×C1392
#2437×C1392
#2421×C1392
#2412×C1392
#2401×C1392
#2398×C1392
C2×#397×C1392
#2360×C1392
#2359×C1392
#2358×C1392
#2353×C1392
#2343×C1392
#2342×C1392
#2273×C1392
#35795139