Finite Group Databasebeta

← C139×#35942 #48030538

Subgroups — C139×#35942 #48030538

Order 35584.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2653×C139C211yesmaximal, characteristic, complemented
2#2650×C139C211yesmaximal, characteristic, complemented
3#2646×C139C211yesmaximal, characteristic, complemented
4#2589×C139C211yesmaximal, characteristic, complemented
5#2574×C139C211yesmaximal, characteristic, complemented
6#2572×C139C211yesmaximal, characteristic, complemented
7#2560×C139C211yesmaximal, characteristic, complemented
8#2534×C139C211yesmaximal, characteristic
9#2532×C139C211yesmaximal, characteristic, complemented
10#2532×C139C211yesmaximal, characteristic, complemented
11#2527×C139C211yesmaximal, characteristic, complemented
12#2493×C139C211yesmaximal, characteristic, complemented
13#2488×C139C211yesmaximal, characteristic, complemented
14#2480×C139C211yesmaximal, characteristic, complemented
15#2477×C139C211yesmaximal, characteristic, complemented
16#2469×C139C211yesmaximal, characteristic, complemented
17#2458×C139C211yesmaximal, characteristic, complemented
18#2450×C139C211yesmaximal, characteristic, complemented
19#2419×C139C211yesmaximal, characteristic, complemented
20#2418×C139C211yesmaximal, characteristic
21#2409×C139C211yesmaximal, characteristic, complemented
22#2398×C139C211yesmaximal, characteristic, complemented
23#2396×C139C211yesmaximal, characteristic, complemented
24C2×#393×C139C211yesmaximal, characteristic, complemented
25#2359×C139C211yesmaximal, characteristic, complemented
26#2358×C139C211yesmaximal, characteristic
27#2343×C139C211yesmaximal, characteristic, complemented
28#2342×C139C211yesmaximal, characteristic, complemented
29#2342×C139C211yesmaximal, characteristic, complemented
30Q8×C22⋊C4×C139C211yesmaximal, characteristic, complemented
31#2275×C139C211yesmaximal, characteristic, complemented
32C23×Q8×C139C2211yescharacteristic
33C2×#126×C139C2211yescharacteristic
34C2×#123×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic
36C2×C22⋊Q8×C139C2211yescharacteristic, complemented
37C2×C22⋊Q8×C139C2211yescharacteristic, complemented
38C2×#120×C139C2211yescharacteristic
39C2×C4×Q8×C139C2211yescharacteristic, complemented
40C2×C4×Q8×C139C2211yescharacteristic, complemented
41C2×C4×D4×C139C2211yescharacteristic
42C2×C4×D4×C139C2211yescharacteristic
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×#117×C139C2211yescharacteristic
46C2×#117×C139C2211yescharacteristic
47C22×C22⋊C4×C139C2211yescharacteristic
48C22×C22⋊C4×C139C2211yescharacteristic
49C22×C22⋊C4×C139C2211yescharacteristic
50C22×C22⋊C4×C139C2211yescharacteristic
51#401×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#400×C139C2211yescharacteristic, complemented
59#400×C139C2211yescharacteristic, complemented
60#399×C139C2211yescharacteristic
61#398×C139C2211yescharacteristic, complemented
62#398×C139C2211yescharacteristic, complemented
63#398×C139C2211yescharacteristic, complemented
64#398×C139C2211yescharacteristic, complemented
65#398×C139C2211yescharacteristic, complemented
66#397×C139C2211yescharacteristic
67#397×C139C2211yescharacteristic
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic, complemented
71#397×C139C2211yescharacteristic, complemented
72#396×C139C2211yescharacteristic
73#396×C139C2211yescharacteristic
74#396×C139C2211yescharacteristic
75#395×C139C2211yescharacteristic, complemented
76#395×C139C2211yescharacteristic, complemented
77#394×C139C2211yescharacteristic
78#394×C139C2211yescharacteristic
79#394×C139C2211yescharacteristic
80#394×C139C2211yescharacteristic
81#393×C139C2211yescharacteristic
82#393×C139C2211yescharacteristic
83#393×C139C2211yescharacteristic
84#393×C139C2211yescharacteristic
85#393×C139C2211yescharacteristic
86#393×C139C2211yescharacteristic
87#393×C139C2211yescharacteristic
88#393×C139C2211yescharacteristic
89#393×C139C2211yescharacteristic, complemented
90#393×C139C2211yescharacteristic, complemented
91#391×C139C2211yescharacteristic, complemented
92#391×C139C2211yescharacteristic, complemented
93#391×C139C2211yescharacteristic, complemented
94#391×C139C2211yescharacteristic, complemented
95#391×C139C2211yescharacteristic, complemented
96#391×C139C2211yescharacteristic, complemented
97#391×C139C2211yescharacteristic, complemented
98#391×C139C2211yescharacteristic, complemented
99#390×C139C2211yescharacteristic
100#389×C139C2211yescharacteristic, complemented
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#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic, complemented
119#388×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#386×C139C2211yescharacteristic
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#385×C139C2211yescharacteristic
146#385×C139C2211yescharacteristic
147#385×C139C2211yescharacteristic, complemented
148#385×C139C2211yescharacteristic, complemented
149#383×C139C2211yescharacteristic, complemented
150#383×C139C2211yescharacteristic, complemented
151#382×C139C2211yescharacteristic, complemented
152#381×C139C2211yescharacteristic
153#381×C139C2211yescharacteristic
154#381×C139C2211yescharacteristic
155#381×C139C2211yescharacteristic, complemented
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#380×C139C2211yescharacteristic
160#380×C139C2211yescharacteristic
161#379×C139C2211yescharacteristic
162#379×C139C2211yescharacteristic
163C4×C4⋊C4×C139C2211yescharacteristic, complemented
164C4×C4⋊C4×C139C2211yescharacteristic, complemented
165C4×C4⋊C4×C139C2211yescharacteristic, complemented
166C4×C4⋊C4×C139C2211yescharacteristic, complemented
167C4×C4⋊C4×C139C2211yescharacteristic, complemented
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, complemented
178C4×C22⋊C4×C139C2211yescharacteristic, complemented
179C4×C22⋊C4×C139C2211yescharacteristic, complemented
180C4×C22⋊C4×C139C2211yescharacteristic, complemented
181#376×C139C2211yescharacteristic, complemented
182#376×C139C2211yescharacteristic, complemented
183C2×#95×C139C2211yescharacteristic
184C2×#95×C139C2211yescharacteristic
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139—24no—
189C22×Q8×C139—42no—
190C22×Q8×C139—42no—
191C22×Q8×C139C2311yescharacteristic
192C22×Q8×C139C2311yescharacteristic
193C22×Q8×C139C2311yescharacteristic
194C22×Q8×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206C23×C4×C139C2311yescharacteristic
207C23×C4×C139C2311yescharacteristic
208C23×C4×C139C2311yescharacteristic
209#126×C139—42no—
210#123×C139—24no—
211#123×C139—42no—
212C22⋊Q8×C139—42no—
213C22⋊Q8×C139—42no—
214#120×C139—24no—
215C4×Q8×C139—42no—
216C4×Q8×C139—42no—
217C4×D4×C139—24no—
218C4×D4×C139—24no—
219C4×D4×C139—24no—
220C4×D4×C139—42no—
221#117×C139—24no—
222#117×C139—42no—
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×C4⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139—24no—
251C2×C22⋊C4×C139—24no—
252C2×C22⋊C4×C139—42no—
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×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
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×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
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363C24×C139—22no—
364C24×C139—22no—
365C24×C139—22no—
366C24×C139—22no—
367C24×C139—41no—
368C24×C139—41no—
369C24×C139—41no—
370C24×C139C2411yescharacteristic
371C24×C139C2411yescharacteristic
372C24×C139C2411yescharacteristic
373C24×C139C2411yescharacteristic
374C2×Q8×C139—22no—
375C2×Q8×C139—22no—
376C2×Q8×C139—22no—
377C2×Q8×C139—22no—
378C2×Q8×C139—22no—
379C2×Q8×C139—22no—
380C2×Q8×C139—22no—
381C2×Q8×C139—22no—
382C2×Q8×C139—41no—
383C2×Q8×C139—41no—
384C2×Q8×C139—41no—
385C2×Q8×C139—41no—
386C2×Q8×C139—416no—
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#4114yes—
396C22×C4×C139—22no—
397C22×C4×C139—22no—
398C22×C4×C139—22no—
399C22×C4×C139—22no—
400C22×C4×C139—22no—
401C22×C4×C139—22no—
402C22×C4×C139—22no—
403C22×C4×C139—22no—
404C22×C4×C139—22no—
405C22×C4×C139—22no—
406C22×C4×C139—22no—
407C22×C4×C139—22no—
408C22×C4×C139—22no—
409C22×C4×C139—22no—
410C22×C4×C139—22no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139—41no—
428C22×C4×C139#4114yes—
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
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
456C4⋊C4×C139—22no—
457C4⋊C4×C139—22no—
458C4⋊C4×C139—22no—
459C4⋊C4×C139—22no—
460C4⋊C4×C139—22no—
461C4⋊C4×C139—22no—
462C4⋊C4×C139—22no—
463C4⋊C4×C139—22no—
464C4⋊C4×C139—22no—
465C4⋊C4×C139—22no—
466C4⋊C4×C139—22no—
467C4⋊C4×C139—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—
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—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—22no—
507C22⋊C4×C139—22no—
508C22⋊C4×C139—22no—
509C22⋊C4×C139—22no—
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#4114yes—
523C42×C139—22no—
524C42×C139—22no—
525C42×C139—22no—
526C42×C139—22no—
527C42×C139—22no—
528C42×C139—22no—
529C42×C139—22no—
530C42×C139—41no—
531C42×C139—41no—
532C42×C139—41no—
533C42×C139—41no—
534C42×C139—41no—
535C42×C139—41no—
536C42×C139—41no—
537C42×C139—41no—
538C23×C139—21no—
539C23×C139—21no—
540C23×C139—21no—
541C23×C139—21no—
542C23×C139—21no—
543C23×C139—21no—
544C23×C139—21no—
545C23×C139—21no—
546C23×C139—21no—
547C23×C139—21no—
548C23×C139—21no—
549C23×C139—21no—
550C23×C139—21no—
551C23×C139—21no—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—44no—
562C23×C139—44no—
563C23×C139—44no—
564C23×C139—44no—
565C23×C139—82no—
566C23×C139—82no—
567C23×C139—82no—
568C23×C139C2×#4112yes—
569C23×C139C2×#4112yes—
570C23×C139C2×#4112yes—
571C23×C139C2×#4112yes—
572C23×C1392−1+412yes—
573C23×C139C2511yescharacteristic
574Q8×C139—28no—
575Q8×C139—44no—
576Q8×C139—44no—
577Q8×C139—44no—
578D4×C139—28no—
579D4×C139—44no—
580D4×C139—82no—
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—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—44no—
656C2×C4×C139—44no—
657C2×C4×C139—44no—
658C2×C4×C139—44no—
659C2×C4×C139—44no—
660C2×C4×C139—82no—
661C2×C4×C139—82no—
662C2×C4×C139—82no—
663C2×C4×C139—82no—
664C2×C4×C139—82no—
665C2×C4×C139—82no—
666C2×C4×C139C2×#4112yes—
667C2×C4×C139C2×#4112yes—
668C2×C4×C139C2×#4112yes—
669C2×C4×C139C2×#4112yes—
670C2×C4×C139C2×#4112yes—
671C2×C4×C139H(5,𝔽2)12yes—
672C2×C4×C139H(5,𝔽2)12yes—
673C22×C139—22no—
674C22×C139—22no—
675C22×C139—22no—
676C22×C139—22no—
677C22×C139—22no—
678C22×C139—22no—
679C22×C139—22no—
680C22×C139—22no—
681C22×C139—22no—
682C22×C139—22no—
683C22×C139—22no—
684C22×C139—22no—
685C22×C139—41no—
686C22×C139—41no—
687C22×C139—41no—
688C22×C139—41no—
689C22×C139—41no—
690C22×C139—41no—
691C22×C139—41no—
692C22×C139—41no—
693C22×C139—41no—
694C22×C139—41no—
695C22×C139—41no—
696C22×C139—41no—
697C22×C139—41no—
698C22×C139—41no—
699C22×C139—41no—
700C22×C139—88no—
701C22×C139#52914yes—
702C22×C139C22×#4111yescharacteristic
703C22×C139C22×#4111yescharacteristic
704C22×C139C22×#4111yescharacteristic
705C22×C139C2×H(5,𝔽2)11yescharacteristic
706C22×C139C2×H(5,𝔽2)11yescharacteristic
707C22×C139C2×2−1+411yescharacteristic
708C22×C139#58511yescharacteristic
709C4×C139—22no—
710C4×C139—22no—
711C4×C139—22no—
712C4×C139—22no—
713C4×C139—22no—
714C4×C139—22no—
715C4×C139—22no—
716C4×C139—41no—
717C4×C139—41no—
718C4×C139—41no—
719C4×C139—41no—
720C4×C139—41no—
721C4×C139—41no—
722C4×C139—41no—
723C4×C139—41no—
724C4×C139—41no—
725C4×C139—41no—
726C4×C139—41no—
727C4×C139—41no—
728C4×C139—41no—
729C4×C139—41no—
730C4×C139—41no—
731C4×C139—41no—
732C4×C139—41no—
733C4×C139—41no—
734C4×C139—41no—
735C4×C139—41no—
736C2×C139—24no—
737C2×C139—42no—
738C2×C139—42no—
739C2×C139—81no—
740C2×C139C2×#52911yescharacteristic
741C2×C139#349011yescharacteristic
742C2×C139#349511yescharacteristic
743C2×C139#351411yescharacteristic
744C2×C139#351411yescharacteristic
745C2×C139#352011yescharacteristic
746C2×C139#352011yescharacteristic
747#35942C13911yesmaximal, characteristic, direct product factor, Sylow
748C139#3594211yescharacteristic, direct product factor, Sylow
749#2653C2×C13911yescharacteristic, complemented
750#2650C2×C13911yescharacteristic, complemented
751#2646C2×C13911yescharacteristic, complemented
752#2589C2×C13911yescharacteristic, complemented
753#2574C2×C13911yescharacteristic, complemented
754#2572C2×C13911yescharacteristic, complemented
755#2560C2×C13911yescharacteristic, complemented
756#2534C2×C13911yescharacteristic
757#2532C2×C13911yescharacteristic, complemented
758#2532C2×C13911yescharacteristic, complemented
759#2527C2×C13911yescharacteristic, complemented
760#2493C2×C13911yescharacteristic, complemented
761#2488C2×C13911yescharacteristic, complemented
762#2480C2×C13911yescharacteristic, complemented
763#2477C2×C13911yescharacteristic, complemented
764#2469C2×C13911yescharacteristic, complemented
765#2458C2×C13911yescharacteristic, complemented
766#2450C2×C13911yescharacteristic, complemented
767#2419C2×C13911yescharacteristic, complemented
768#2418C2×C13911yescharacteristic
769#2409C2×C13911yescharacteristic, complemented
770#2398C2×C13911yescharacteristic, complemented
771#2396C2×C13911yescharacteristic, complemented
772C2×#393C2×C13911yescharacteristic, complemented
773#2359C2×C13911yescharacteristic, complemented
774#2358C2×C13911yescharacteristic
775#2343C2×C13911yescharacteristic, complemented
776#2342C2×C13911yescharacteristic, complemented
777#2342C2×C13911yescharacteristic, complemented
778Q8×C22⋊C4C2×C13911yescharacteristic, complemented
779#2275C2×C13911yescharacteristic, complemented
780C23×Q8C22×C13911yescharacteristic
781C2×#126C22×C13911yescharacteristic
782C2×#123C22×C13911yescharacteristic
783C2×#123C22×C13911yescharacteristic
784C2×C22⋊Q8C22×C13911yescharacteristic, complemented
785C2×C22⋊Q8C22×C13911yescharacteristic, complemented
786C2×#120C22×C13911yescharacteristic
787C2×C4×Q8C22×C13911yescharacteristic, complemented
788C2×C4×Q8C22×C13911yescharacteristic, complemented
789C2×C4×D4C22×C13911yescharacteristic
790C2×C4×D4C22×C13911yescharacteristic
791C2×C4×D4C22×C13911yescharacteristic
792C2×C4×D4C22×C13911yescharacteristic
793C2×#117C22×C13911yescharacteristic
794C2×#117C22×C13911yescharacteristic
795C22×C22⋊C4C22×C13911yescharacteristic
796C22×C22⋊C4C22×C13911yescharacteristic
797C22×C22⋊C4C22×C13911yescharacteristic
798C22×C22⋊C4C22×C13911yescharacteristic
799#401C22×C13911yescharacteristic, complemented
800#400C22×C13911yescharacteristic, complemented
801#400C22×C13911yescharacteristic, complemented
802#400C22×C13911yescharacteristic, complemented
803#400C22×C13911yescharacteristic, complemented
804#400C22×C13911yescharacteristic, complemented
805#400C22×C13911yescharacteristic, complemented
806#400C22×C13911yescharacteristic, complemented
807#400C22×C13911yescharacteristic, complemented
808#399C22×C13911yescharacteristic
809#398C22×C13911yescharacteristic, complemented
810#398C22×C13911yescharacteristic, complemented
811#398C22×C13911yescharacteristic, complemented
812#398C22×C13911yescharacteristic, complemented
813#398C22×C13911yescharacteristic, complemented
814#397C22×C13911yescharacteristic
815#397C22×C13911yescharacteristic
816#397C22×C13911yescharacteristic
817#397C22×C13911yescharacteristic
818#397C22×C13911yescharacteristic, complemented
819#397C22×C13911yescharacteristic, complemented
820#396C22×C13911yescharacteristic
821#396C22×C13911yescharacteristic
822#396C22×C13911yescharacteristic
823#395C22×C13911yescharacteristic, complemented
824#395C22×C13911yescharacteristic, complemented
825#394C22×C13911yescharacteristic
826#394C22×C13911yescharacteristic
827#394C22×C13911yescharacteristic
828#394C22×C13911yescharacteristic
829#393C22×C13911yescharacteristic
830#393C22×C13911yescharacteristic
831#393C22×C13911yescharacteristic
832#393C22×C13911yescharacteristic
833#393C22×C13911yescharacteristic
834#393C22×C13911yescharacteristic
835#393C22×C13911yescharacteristic
836#393C22×C13911yescharacteristic
837#393C22×C13911yescharacteristic, complemented
838#393C22×C13911yescharacteristic, complemented
839#391C22×C13911yescharacteristic, complemented
840#391C22×C13911yescharacteristic, complemented
841#391C22×C13911yescharacteristic, complemented
842#391C22×C13911yescharacteristic, complemented
843#391C22×C13911yescharacteristic, complemented
844#391C22×C13911yescharacteristic, complemented
845#391C22×C13911yescharacteristic, complemented
846#391C22×C13911yescharacteristic, complemented
847#390C22×C13911yescharacteristic
848#389C22×C13911yescharacteristic, complemented
849#388C22×C13911yescharacteristic
850#388C22×C13911yescharacteristic
851#388C22×C13911yescharacteristic
852#388C22×C13911yescharacteristic
853#388C22×C13911yescharacteristic
854#388C22×C13911yescharacteristic
855#388C22×C13911yescharacteristic
856#388C22×C13911yescharacteristic
857#388C22×C13911yescharacteristic
858#388C22×C13911yescharacteristic
859#388C22×C13911yescharacteristic
860#388C22×C13911yescharacteristic
861#388C22×C13911yescharacteristic
862#388C22×C13911yescharacteristic
863#388C22×C13911yescharacteristic
864#388C22×C13911yescharacteristic
865#388C22×C13911yescharacteristic
866#388C22×C13911yescharacteristic, complemented
867#388C22×C13911yescharacteristic, complemented
868#387C22×C13911yescharacteristic, complemented
869#387C22×C13911yescharacteristic, complemented
870#387C22×C13911yescharacteristic, complemented
871#387C22×C13911yescharacteristic, complemented
872#387C22×C13911yescharacteristic, complemented
873#387C22×C13911yescharacteristic, complemented
874#387C22×C13911yescharacteristic, complemented
875#387C22×C13911yescharacteristic, complemented
876#387C22×C13911yescharacteristic, complemented
877#387C22×C13911yescharacteristic, complemented
878#387C22×C13911yescharacteristic, complemented
879#386C22×C13911yescharacteristic
880#386C22×C13911yescharacteristic
881#386C22×C13911yescharacteristic
882#386C22×C13911yescharacteristic
883#386C22×C13911yescharacteristic
884#386C22×C13911yescharacteristic
885#386C22×C13911yescharacteristic
886#385C22×C13911yescharacteristic
887#385C22×C13911yescharacteristic
888#385C22×C13911yescharacteristic
889#385C22×C13911yescharacteristic
890#385C22×C13911yescharacteristic
891#385C22×C13911yescharacteristic
892#385C22×C13911yescharacteristic
893#385C22×C13911yescharacteristic
894#385C22×C13911yescharacteristic
895#385C22×C13911yescharacteristic, complemented
896#385C22×C13911yescharacteristic, complemented
897#383C22×C13911yescharacteristic, complemented
898#383C22×C13911yescharacteristic, complemented
899#382C22×C13911yescharacteristic, complemented
900#381C22×C13911yescharacteristic
901#381C22×C13911yescharacteristic
902#381C22×C13911yescharacteristic
903#381C22×C13911yescharacteristic, complemented
904#380C22×C13911yescharacteristic
905#380C22×C13911yescharacteristic
906#380C22×C13911yescharacteristic
907#380C22×C13911yescharacteristic
908#380C22×C13911yescharacteristic
909#379C22×C13911yescharacteristic
910#379C22×C13911yescharacteristic
911C4×C4⋊C4C22×C13911yescharacteristic, complemented
912C4×C4⋊C4C22×C13911yescharacteristic, complemented
913C4×C4⋊C4C22×C13911yescharacteristic, complemented
914C4×C4⋊C4C22×C13911yescharacteristic, complemented
915C4×C4⋊C4C22×C13911yescharacteristic, complemented
916C4×C22⋊C4C22×C13911yescharacteristic
917C4×C22⋊C4C22×C13911yescharacteristic
918C4×C22⋊C4C22×C13911yescharacteristic
919C4×C22⋊C4C22×C13911yescharacteristic
920C4×C22⋊C4C22×C13911yescharacteristic
921C4×C22⋊C4C22×C13911yescharacteristic
922C4×C22⋊C4C22×C13911yescharacteristic
923C4×C22⋊C4C22×C13911yescharacteristic
924C4×C22⋊C4C22×C13911yescharacteristic
925C4×C22⋊C4C22×C13911yescharacteristic, complemented
926C4×C22⋊C4C22×C13911yescharacteristic, complemented
927C4×C22⋊C4C22×C13911yescharacteristic, complemented
928C4×C22⋊C4C22×C13911yescharacteristic, complemented
929#376C22×C13911yescharacteristic, complemented
930#376C22×C13911yescharacteristic, complemented
931C2×#95C22×C13911yescharacteristic
932C2×#95C22×C13911yescharacteristic
933C2×#95C22×C13911yescharacteristic
934C2×#95C22×C13911yescharacteristic, complemented
935C25C23×C13911yescharacteristic
936C22×Q8—24no—
937C22×Q8—42no—
938C22×Q8—42no—
939C22×Q8C23×C13911yescharacteristic
940C22×Q8C23×C13911yescharacteristic
941C22×Q8C23×C13911yescharacteristic
942C22×Q8C23×C13911yescharacteristic
943C22×D4C23×C13911yescharacteristic
944C22×D4C23×C13911yescharacteristic
945C22×D4C23×C13911yescharacteristic
946C23×C4C23×C13911yescharacteristic
947C23×C4C23×C13911yescharacteristic
948C23×C4C23×C13911yescharacteristic
949C23×C4C23×C13911yescharacteristic
950C23×C4C23×C13911yescharacteristic
951C23×C4C23×C13911yescharacteristic
952C23×C4C23×C13911yescharacteristic
953C23×C4C23×C13911yescharacteristic
954C23×C4C23×C13911yescharacteristic
955C23×C4C23×C13911yescharacteristic
956C23×C4C23×C13911yescharacteristic
957#126—42no—
958#123—24no—
959#123—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962#120—24no—
963C4×Q8—42no—
964C4×Q8—42no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—42no—
969#117—24no—
970#117—42no—
971C2×C4⋊C4C23×C13911yescharacteristic
972C2×C4⋊C4C23×C13911yescharacteristic
973C2×C4⋊C4C23×C13911yescharacteristic
974C2×C4⋊C4C23×C13911yescharacteristic
975C2×C4⋊C4C23×C13911yescharacteristic
976C2×C4⋊C4C23×C13911yescharacteristic
977C2×C4⋊C4C23×C13911yescharacteristic
978C2×C4⋊C4C23×C13911yescharacteristic
979C2×C4⋊C4C23×C13911yescharacteristic
980C2×C4⋊C4C23×C13911yescharacteristic
981C2×C4⋊C4C23×C13911yescharacteristic
982C2×C4⋊C4C23×C13911yescharacteristic
983C2×C4⋊C4C23×C13911yescharacteristic
984C2×C4⋊C4C23×C13911yescharacteristic
985C2×C4⋊C4C23×C13911yescharacteristic
986C2×C4⋊C4C23×C13911yescharacteristic
987C2×C4⋊C4C23×C13911yescharacteristic
988C2×C4⋊C4C23×C13911yescharacteristic
989C2×C4⋊C4C23×C13911yescharacteristic
990C2×C4⋊C4C23×C13911yescharacteristic
991C2×C4⋊C4C23×C13911yescharacteristic
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C22⋊C4—24no—
999C2×C22⋊C4—24no—
1000C2×C22⋊C4—42no—
1001C2×C22⋊C4—42no—
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×C22⋊C4C23×C13911yescharacteristic
1017C2×C22⋊C4C23×C13911yescharacteristic
1018C2×C22⋊C4C23×C13911yescharacteristic
1019C2×C22⋊C4C23×C13911yescharacteristic
1020C2×C22⋊C4C23×C13911yescharacteristic
1021C2×C22⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4C23×C13911yescharacteristic
1023C2×C22⋊C4C23×C13911yescharacteristic
1024C2×C22⋊C4C23×C13911yescharacteristic
1025C2×C22⋊C4C23×C13911yescharacteristic
1026C2×C22⋊C4C23×C13911yescharacteristic
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C42C23×C13911yescharacteristic
1043C2×C42C23×C13911yescharacteristic
1044C2×C42C23×C13911yescharacteristic
1045C2×C42C23×C13911yescharacteristic
1046C2×C42C23×C13911yescharacteristic
1047C2×C42C23×C13911yescharacteristic
1048C2×C42C23×C13911yescharacteristic
1049C2×C42C23×C13911yescharacteristic
1050C2×C42C23×C13911yescharacteristic
1051C2×C42C23×C13911yescharacteristic
1052C2×C42C23×C13911yescharacteristic
1053C2×C42C23×C13911yescharacteristic
1054C2×C42C23×C13911yescharacteristic
1055C2×C42C23×C13911yescharacteristic
1056C2×C42C23×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
1087#95C23×C13911yescharacteristic
1088#95C23×C13911yescharacteristic
1089#95C23×C13911yescharacteristic
1090#95C23×C13911yescharacteristic
1091#95C23×C13911yescharacteristic
1092#95C23×C13911yescharacteristic
1093#95C23×C13911yescharacteristic
1094#95C23×C13911yescharacteristic
1095#95C23×C13911yescharacteristic
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110#95C23×C13911yescharacteristic
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—41no—
1116C24—41no—
1117C24—41no—
1118C24C24×C13911yescharacteristic
1119C24C24×C13911yescharacteristic
1120C24C24×C13911yescharacteristic
1121C24C24×C13911yescharacteristic
1122C2×Q8—22no—
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8—416no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4#41×C13914yes—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4#41×C13914yes—
1177C22×C4C24×C13911yescharacteristic
1178C22×C4C24×C13911yescharacteristic
1179C22×C4C24×C13911yescharacteristic
1180C22×C4C24×C13911yescharacteristic
1181C22×C4C24×C13911yescharacteristic
1182C22×C4C24×C13911yescharacteristic
1183C22×C4C24×C13911yescharacteristic
1184C22×C4C24×C13911yescharacteristic
1185C22×C4C24×C13911yescharacteristic
1186C22×C4C24×C13911yescharacteristic
1187C22×C4C24×C13911yescharacteristic
1188C22×C4C24×C13911yescharacteristic
1189C22×C4C24×C13911yescharacteristic
1190C22×C4C24×C13911yescharacteristic
1191C22×C4C24×C13911yescharacteristic
1192C22×C4C24×C13911yescharacteristic
1193C22×C4C24×C13911yescharacteristic
1194C22×C4C24×C13911yescharacteristic
1195C22×C4C24×C13911yescharacteristic
1196C22×C4C24×C13911yescharacteristic
1197C22×C4C24×C13911yescharacteristic
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
1200C22×C4C24×C13911yescharacteristic
1201C22×C4C24×C13911yescharacteristic
1202C22×C4C24×C13911yescharacteristic
1203C22×C4C24×C13911yescharacteristic
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4#41×C13914yes—
1271C42—22no—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—22no—
1276C42—22no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—82no—
1314C23—82no—
1315C23—82no—
1316C23C2×#41×C13912yes—
1317C23C2×#41×C13912yes—
1318C23C2×#41×C13912yes—
1319C23C2×#41×C13912yes—
1320C232−1+4×C13912yes—
1321C23C25×C13911yescharacteristic
1322Q8—28no—
1323Q8—44no—
1324Q8—44no—
1325Q8—44no—
1326D4—28no—
1327D4—44no—
1328D4—82no—
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—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—82no—
1409C2×C4—82no—
1410C2×C4—82no—
1411C2×C4—82no—
1412C2×C4—82no—
1413C2×C4—82no—
1414C2×C4C2×#41×C13912yes—
1415C2×C4C2×#41×C13912yes—
1416C2×C4C2×#41×C13912yes—
1417C2×C4C2×#41×C13912yes—
1418C2×C4C2×#41×C13912yes—
1419C2×C4H(5,𝔽2)×C13912yes—
1420C2×C4H(5,𝔽2)×C13912yes—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—88no—
1449C22#529×C13914yes—
1450C22C22×#41×C13911yescharacteristic
1451C22C22×#41×C13911yescharacteristic
1452C22C22×#41×C13911yescharacteristic
1453C22C2×H(5,𝔽2)×C13911yescharacteristic
1454C22C2×H(5,𝔽2)×C13911yescharacteristic
1455C22C2×2−1+4×C13911yescharacteristic
1456C22#585×C13911yescharacteristic
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C2—24no—
1485C2—42no—
1486C2—42no—
1487C2—81no—
1488C2C2×#529×C13911yescharacteristic
1489C2#3490×C13911yescharacteristic
1490C2#3495×C13911yescharacteristic
1491C2#3514×C13911yescharacteristic
1492C2#3514×C13911yescharacteristic
1493C2#3520×C13911yescharacteristic
1494C2#3520×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. #2653×C139C2semidirect
2. #2650×C139C2semidirect
3. #2646×C139C2semidirect
4. #2589×C139C2semidirect
5. #2574×C139C2semidirect
6. #2572×C139C2semidirect
7. #2560×C139C2semidirect
9. #2532×C139C2semidirect
10. #2532×C139C2semidirect
11. #2527×C139C2semidirect
12. #2493×C139C2semidirect
13. #2488×C139C2semidirect
14. #2480×C139C2semidirect
15. #2477×C139C2semidirect
16. #2469×C139C2semidirect
17. #2458×C139C2semidirect
18. #2450×C139C2semidirect
19. #2419×C139C2semidirect
21. #2409×C139C2semidirect
22. #2398×C139C2semidirect
23. #2396×C139C2semidirect
24. C2×#393×C139C2semidirect
25. #2359×C139C2semidirect
27. #2343×C139C2semidirect
28. #2342×C139C2semidirect
29. #2342×C139C2semidirect
30. Q8×C22⋊C4×C139C2semidirect
31. #2275×C139C2semidirect
36. C2×C22⋊Q8×C139C22semidirect
37. C2×C22⋊Q8×C139C22semidirect
39. C2×C4×Q8×C139C22semidirect
40. C2×C4×Q8×C139C22semidirect
51. #401×C139C22semidirect
52. #400×C139C22semidirect
53. #400×C139C22semidirect
54. #400×C139C22semidirect
55. #400×C139C22semidirect
56. #400×C139C22semidirect
57. #400×C139C22semidirect
58. #400×C139C22semidirect
59. #400×C139C22semidirect
61. #398×C139C22semidirect
62. #398×C139C22semidirect
63. #398×C139C22semidirect
64. #398×C139C22semidirect
65. #398×C139C22semidirect
70. #397×C139C22semidirect
71. #397×C139C22semidirect
75. #395×C139C22semidirect
76. #395×C139C22semidirect
89. #393×C139C22semidirect
90. #393×C139C22semidirect
91. #391×C139C22semidirect
92. #391×C139C22semidirect
93. #391×C139C22semidirect
94. #391×C139C22semidirect
95. #391×C139C22semidirect
96. #391×C139C22semidirect
97. #391×C139C22semidirect
98. #391×C139C22semidirect
100. #389×C139C22semidirect
118. #388×C139C22semidirect
119. #388×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
147. #385×C139C22semidirect
148. #385×C139C22semidirect
149. #383×C139C22semidirect
150. #383×C139C22semidirect
151. #382×C139C22semidirect
155. #381×C139C22semidirect
163. C4×C4⋊C4×C139C22semidirect
164. C4×C4⋊C4×C139C22semidirect
165. C4×C4⋊C4×C139C22semidirect
166. C4×C4⋊C4×C139C22semidirect
167. C4×C4⋊C4×C139C22semidirect
177. C4×C22⋊C4×C139C22semidirect
178. C4×C22⋊C4×C139C22semidirect
179. C4×C22⋊C4×C139C22semidirect
180. C4×C22⋊C4×C139C22semidirect
181. #376×C139C22semidirect
182. #376×C139C22semidirect
186. C2×#95×C139C22semidirect
747. #35942C139direct (N × H)
748. C139#35942direct (N × H)
749. #2653C2×C139semidirect
750. #2650C2×C139semidirect
751. #2646C2×C139semidirect
752. #2589C2×C139semidirect
753. #2574C2×C139semidirect
754. #2572C2×C139semidirect
755. #2560C2×C139semidirect
757. #2532C2×C139semidirect
758. #2532C2×C139semidirect
759. #2527C2×C139semidirect
760. #2493C2×C139semidirect
761. #2488C2×C139semidirect
762. #2480C2×C139semidirect
763. #2477C2×C139semidirect
764. #2469C2×C139semidirect
765. #2458C2×C139semidirect
766. #2450C2×C139semidirect
767. #2419C2×C139semidirect
769. #2409C2×C139semidirect
770. #2398C2×C139semidirect
771. #2396C2×C139semidirect
772. C2×#393C2×C139semidirect
773. #2359C2×C139semidirect
775. #2343C2×C139semidirect
776. #2342C2×C139semidirect
777. #2342C2×C139semidirect
778. Q8×C22⋊C4C2×C139semidirect
779. #2275C2×C139semidirect
784. C2×C22⋊Q8C22×C139semidirect
785. C2×C22⋊Q8C22×C139semidirect
787. C2×C4×Q8C22×C139semidirect
788. C2×C4×Q8C22×C139semidirect
799. #401C22×C139semidirect
800. #400C22×C139semidirect
801. #400C22×C139semidirect
802. #400C22×C139semidirect
803. #400C22×C139semidirect
804. #400C22×C139semidirect
805. #400C22×C139semidirect
806. #400C22×C139semidirect
807. #400C22×C139semidirect
809. #398C22×C139semidirect
810. #398C22×C139semidirect
811. #398C22×C139semidirect
812. #398C22×C139semidirect
813. #398C22×C139semidirect
818. #397C22×C139semidirect
819. #397C22×C139semidirect
823. #395C22×C139semidirect
824. #395C22×C139semidirect
837. #393C22×C139semidirect
838. #393C22×C139semidirect
839. #391C22×C139semidirect
840. #391C22×C139semidirect
841. #391C22×C139semidirect
842. #391C22×C139semidirect
843. #391C22×C139semidirect
844. #391C22×C139semidirect
845. #391C22×C139semidirect
846. #391C22×C139semidirect
848. #389C22×C139semidirect
866. #388C22×C139semidirect
867. #388C22×C139semidirect
868. #387C22×C139semidirect
869. #387C22×C139semidirect
870. #387C22×C139semidirect
871. #387C22×C139semidirect
872. #387C22×C139semidirect
873. #387C22×C139semidirect
874. #387C22×C139semidirect
875. #387C22×C139semidirect
876. #387C22×C139semidirect
877. #387C22×C139semidirect
878. #387C22×C139semidirect
895. #385C22×C139semidirect
896. #385C22×C139semidirect
897. #383C22×C139semidirect
898. #383C22×C139semidirect
899. #382C22×C139semidirect
903. #381C22×C139semidirect
911. C4×C4⋊C4C22×C139semidirect
912. C4×C4⋊C4C22×C139semidirect
913. C4×C4⋊C4C22×C139semidirect
914. C4×C4⋊C4C22×C139semidirect
915. C4×C4⋊C4C22×C139semidirect
925. C4×C22⋊C4C22×C139semidirect
926. C4×C22⋊C4C22×C139semidirect
927. C4×C22⋊C4C22×C139semidirect
928. C4×C22⋊C4C22×C139semidirect
929. #376C22×C139semidirect
930. #376C22×C139semidirect
934. C2×#95C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2653×C1392
#2650×C1392
#2646×C1392
#2589×C1392
#2574×C1392
#2572×C1392
#2560×C1392
#2534×C1392
#2532×C1392
#2527×C1392
#2493×C1392
#2488×C1392
#2480×C1392
#2477×C1392
#2469×C1392
#2458×C1392
#2450×C1392
#2419×C1392
#2418×C1392
#2409×C1392
#2398×C1392
#2396×C1392
C2×#393×C1392
#2359×C1392
#2358×C1392
#2343×C1392
#2342×C1392
Q8×C22⋊C4×C1392
#2275×C1392
#35942139