Finite Group Databasebeta

← C139×#35915 #48030511

Subgroups — C139×#35915 #48030511

Order 35584.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2651×C139C211yesmaximal, characteristic, complemented
2#2649×C139C211yesmaximal, characteristic, complemented
3#2643×C139C211yesmaximal, characteristic, complemented
4#2594×C139C211yesmaximal, characteristic, complemented
5#2587×C139C211yesmaximal, characteristic, complemented
6#2576×C139C211yesmaximal, characteristic, complemented
7#2558×C139C211yesmaximal, characteristic, complemented
8#2529×C139C211yesmaximal, characteristic, complemented
9#2526×C139C211yesmaximal, characteristic, complemented
10#2474×C139C211yesmaximal, characteristic, complemented
11#2473×C139C211yesmaximal, characteristic, complemented
12#2472×C139C211yesmaximal, characteristic, complemented
13#2471×C139C211yesmaximal, characteristic, complemented
14#2454×C139C211yesmaximal, characteristic, complemented
15#2450×C139C211yesmaximal, characteristic, complemented
16#2449×C139C211yesmaximal, characteristic, complemented
17#2443×C139C211yesmaximal, characteristic, complemented
18#2426×C139C211yesmaximal, characteristic, complemented
19#2425×C139C211yesmaximal, characteristic, complemented
20#2424×C139C211yesmaximal, characteristic
21#2418×C139C211yesmaximal, characteristic, complemented
22#2396×C139C211yesmaximal, characteristic, complemented
23#2392×C139C211yesmaximal, characteristic, complemented
24C2×#396×C139C211yesmaximal, characteristic, complemented
25#2361×C139C211yesmaximal, characteristic, complemented
26#2360×C139C211yesmaximal, characteristic, complemented
27#2358×C139C211yesmaximal, characteristic, complemented
28#2358×C139C211yesmaximal, characteristic, complemented
29#2352×C139C211yesmaximal, characteristic, complemented
30#2342×C139C211yesmaximal, characteristic, complemented
31#2275×C139C211yesmaximal, characteristic, complemented
32C2×#125×C139C2211yescharacteristic, complemented
33C2×#124×C139C2211yescharacteristic
34C2×#123×C139C2211yescharacteristic
35C2×#123×C139C2211yescharacteristic, complemented
36C2×C22⋊Q8×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic, complemented
38C2×#121×C139C2211yescharacteristic
39C2×#121×C139C2211yescharacteristic
40C2×#120×C139C2211yescharacteristic
41C2×#120×C139C2211yescharacteristic
42C2×C4×Q8×C139C2211yescharacteristic, complemented
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×C4×D4×C139C2211yescharacteristic, complemented
50C2×#117×C139C2211yescharacteristic
51C2×#117×C139C2211yescharacteristic, complemented
52C22×C4⋊C4×C139C2211yescharacteristic
53C22×C4⋊C4×C139C2211yescharacteristic
54C22×C4⋊C4×C139C2211yescharacteristic
55C22×C22⋊C4×C139C2211yescharacteristic
56C22×C22⋊C4×C139C2211yescharacteristic
57C22×C22⋊C4×C139C2211yescharacteristic
58C22×C22⋊C4×C139C2211yescharacteristic
59#401×C139C2211yescharacteristic, complemented
60#400×C139C2211yescharacteristic, complemented
61#400×C139C2211yescharacteristic, complemented
62#400×C139C2211yescharacteristic, complemented
63#400×C139C2211yescharacteristic, complemented
64#399×C139C2211yescharacteristic
65#399×C139C2211yescharacteristic, complemented
66#399×C139C2211yescharacteristic, complemented
67#398×C139C2211yescharacteristic, complemented
68#398×C139C2211yescharacteristic, complemented
69#398×C139C2211yescharacteristic, complemented
70#398×C139C2211yescharacteristic, complemented
71#398×C139C2211yescharacteristic, complemented
72#397×C139C2211yescharacteristic
73#397×C139C2211yescharacteristic
74#397×C139C2211yescharacteristic, complemented
75#397×C139C2211yescharacteristic, complemented
76#397×C139C2211yescharacteristic, complemented
77#397×C139C2211yescharacteristic, complemented
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic
80#396×C139C2211yescharacteristic
81#396×C139C2211yescharacteristic
82#396×C139C2211yescharacteristic
83#396×C139C2211yescharacteristic
84#396×C139C2211yescharacteristic
85#396×C139C2211yescharacteristic
86#396×C139C2211yescharacteristic
87#396×C139C2211yescharacteristic, complemented
88#396×C139C2211yescharacteristic, complemented
89#395×C139C2211yescharacteristic, complemented
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic
93#394×C139C2211yescharacteristic
94#394×C139C2211yescharacteristic
95#394×C139C2211yescharacteristic
96#394×C139C2211yescharacteristic, complemented
97#393×C139C2211yescharacteristic
98#392×C139C2211yescharacteristic
99#391×C139C2211yescharacteristic, complemented
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic
104#390×C139C2211yescharacteristic, complemented
105#389×C139C2211yescharacteristic, complemented
106#389×C139C2211yescharacteristic, complemented
107#389×C139C2211yescharacteristic, complemented
108#389×C139C2211yescharacteristic, complemented
109#389×C139C2211yescharacteristic, complemented
110#389×C139C2211yescharacteristic, complemented
111#388×C139C2211yescharacteristic
112#388×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic, complemented
125#388×C139C2211yescharacteristic, complemented
126#388×C139C2211yescharacteristic, complemented
127#388×C139C2211yescharacteristic, complemented
128#388×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#387×C139C2211yescharacteristic, complemented
132#387×C139C2211yescharacteristic, complemented
133#387×C139C2211yescharacteristic, complemented
134#387×C139C2211yescharacteristic, complemented
135#387×C139C2211yescharacteristic, complemented
136#387×C139C2211yescharacteristic, complemented
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic
140#386×C139C2211yescharacteristic
141#386×C139C2211yescharacteristic
142#386×C139C2211yescharacteristic
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic, complemented
158#385×C139C2211yescharacteristic, complemented
159#385×C139C2211yescharacteristic, complemented
160#385×C139C2211yescharacteristic, complemented
161#382×C139C2211yescharacteristic, complemented
162#381×C139C2211yescharacteristic
163#380×C139C2211yescharacteristic
164#380×C139C2211yescharacteristic
165#380×C139C2211yescharacteristic, complemented
166#379×C139C2211yescharacteristic
167C4×C4⋊C4×C139C2211yescharacteristic, complemented
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C4⋊C4×C139C2211yescharacteristic, complemented
170C4×C4⋊C4×C139C2211yescharacteristic, complemented
171C4×C4⋊C4×C139C2211yescharacteristic, complemented
172C4×C4⋊C4×C139C2211yescharacteristic, complemented
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
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184#376×C139C2211yescharacteristic, complemented
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic, complemented
187C25×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×D4×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C22×D4×C139C2311yescharacteristic
195C22×D4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×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
208#125×C139—42no—
209#124×C139—42no—
210#123×C139—42no—
211#123×C139—42no—
212C22⋊Q8×C139—24no—
213C22⋊Q8×C139—42no—
214#121×C139—24no—
215#121×C139—42no—
216#120×C139—24no—
217#120×C139—24no—
218C4×Q8×C139—42no—
219C4×D4×C139—24no—
220C4×D4×C139—24no—
221C4×D4×C139—24no—
222C4×D4×C139—24no—
223C4×D4×C139—42no—
224C4×D4×C139—42no—
225C4×D4×C139—42no—
226#117×C139—42no—
227#117×C139—42no—
228C2×C4⋊C4×C139—42no—
229C2×C4⋊C4×C139—42no—
230C2×C4⋊C4×C139—42no—
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C4⋊C4×C139C2311yescharacteristic
263C2×C4⋊C4×C139C2311yescharacteristic
264C2×C4⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139—24no—
266C2×C22⋊C4×C139—42no—
267C2×C22⋊C4×C139—42no—
268C2×C22⋊C4×C139—42no—
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C22⋊C4×C139C2311yescharacteristic
312C2×C22⋊C4×C139C2311yescharacteristic
313C2×C22⋊C4×C139C2311yescharacteristic
314C2×C22⋊C4×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323C2×C42×C139C2311yescharacteristic
324C2×C42×C139C2311yescharacteristic
325C2×C42×C139C2311yescharacteristic
326C2×C42×C139C2311yescharacteristic
327C2×C42×C139C2311yescharacteristic
328C2×C42×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369C24×C139—22no—
370C24×C139—22no—
371C24×C139—22no—
372C24×C139—22no—
373C24×C139—41no—
374C24×C139—41no—
375C24×C139—41no—
376C24×C139C2411yescharacteristic
377C24×C139C2411yescharacteristic
378C24×C139C2411yescharacteristic
379C24×C139C2411yescharacteristic
380C24×C139C2411yescharacteristic
381C2×Q8×C139—22no—
382C2×Q8×C139—22no—
383C2×Q8×C139—41no—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—22no—
388C2×D4×C139—22no—
389C2×D4×C139—22no—
390C2×D4×C139—22no—
391C2×D4×C139—22no—
392C2×D4×C139—22no—
393C2×D4×C139—22no—
394C2×D4×C139—22no—
395C2×D4×C139—22no—
396C2×D4×C139—22no—
397C2×D4×C139—41no—
398C2×D4×C139—41no—
399C2×D4×C139—41no—
400C2×D4×C139—41no—
401C2×D4×C139—41no—
402C2×D4×C139—41no—
403C2×D4×C139—41no—
404C2×D4×C139#4114yes—
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—22no—
412C22×C4×C139—22no—
413C22×C4×C139—22no—
414C22×C4×C139—22no—
415C22×C4×C139—22no—
416C22×C4×C139—22no—
417C22×C4×C139—22no—
418C22×C4×C139—22no—
419C22×C4×C139—22no—
420C22×C4×C139—22no—
421C22×C4×C139—22no—
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—41no—
429C22×C4×C139—41no—
430C22×C4×C139—41no—
431C22×C4×C139—41no—
432C22×C4×C139—41no—
433C22×C4×C139—41no—
434C22×C4×C139—41no—
435C22×C4×C139—41no—
436C22×C4×C139—41no—
437C22×C4×C139—41no—
438C22×C4×C139—41no—
439C22×C4×C139—41no—
440C22×C4×C139—41no—
441C22×C4×C139C2411yescharacteristic
442C22×C4×C139C2411yescharacteristic
443C22×C4×C139C2411yescharacteristic
444C22×C4×C139C2411yescharacteristic
445C22×C4×C139C2411yescharacteristic
446C22×C4×C139C2411yescharacteristic
447C22×C4×C139C2411yescharacteristic
448C22×C4×C139C2411yescharacteristic
449C22×C4×C139C2411yescharacteristic
450C22×C4×C139C2411yescharacteristic
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C22×C4×C139C2411yescharacteristic
459C22×C4×C139C2411yescharacteristic
460C22×C4×C139C2411yescharacteristic
461C22×C4×C139C2411yescharacteristic
462C22×C4×C139C2411yescharacteristic
463C22×C4×C139C2411yescharacteristic
464C22×C4×C139C2411yescharacteristic
465C22×C4×C139C2411yescharacteristic
466C22×C4×C139C2411yescharacteristic
467C4⋊C4×C139—22no—
468C4⋊C4×C139—22no—
469C4⋊C4×C139—22no—
470C4⋊C4×C139—22no—
471C4⋊C4×C139—22no—
472C4⋊C4×C139—22no—
473C4⋊C4×C139—22no—
474C4⋊C4×C139—22no—
475C4⋊C4×C139—22no—
476C4⋊C4×C139—22no—
477C4⋊C4×C139—22no—
478C4⋊C4×C139—22no—
479C4⋊C4×C139—22no—
480C4⋊C4×C139—22no—
481C4⋊C4×C139—22no—
482C4⋊C4×C139—22no—
483C4⋊C4×C139—22no—
484C4⋊C4×C139—22no—
485C4⋊C4×C139—41no—
486C4⋊C4×C139—41no—
487C4⋊C4×C139—41no—
488C4⋊C4×C139—41no—
489C4⋊C4×C139—41no—
490C4⋊C4×C139—41no—
491C4⋊C4×C139—41no—
492C4⋊C4×C139—41no—
493C4⋊C4×C139—41no—
494C4⋊C4×C139—41no—
495C4⋊C4×C139—41no—
496C4⋊C4×C139—41no—
497C4⋊C4×C139—41no—
498C4⋊C4×C139—41no—
499C4⋊C4×C139—41no—
500C4⋊C4×C139—41no—
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—22no—
511C22⋊C4×C139—22no—
512C22⋊C4×C139—22no—
513C22⋊C4×C139—22no—
514C22⋊C4×C139—22no—
515C22⋊C4×C139—22no—
516C22⋊C4×C139—22no—
517C22⋊C4×C139—22no—
518C22⋊C4×C139—22no—
519C22⋊C4×C139—22no—
520C22⋊C4×C139—22no—
521C22⋊C4×C139—22no—
522C22⋊C4×C139—22no—
523C22⋊C4×C139—22no—
524C22⋊C4×C139—22no—
525C22⋊C4×C139—22no—
526C22⋊C4×C139—22no—
527C22⋊C4×C139—41no—
528C22⋊C4×C139—41no—
529C22⋊C4×C139—41no—
530C22⋊C4×C139—41no—
531C22⋊C4×C139—41no—
532C22⋊C4×C139—41no—
533C22⋊C4×C139—41no—
534C22⋊C4×C139—41no—
535C22⋊C4×C139—41no—
536C22⋊C4×C139—41no—
537C22⋊C4×C139—41no—
538C22⋊C4×C139—41no—
539C22⋊C4×C139—41no—
540C22⋊C4×C139—41no—
541C22⋊C4×C139—41no—
542C22⋊C4×C139—41no—
543C22⋊C4×C139—41no—
544C22⋊C4×C139—41no—
545C22⋊C4×C139#4114yes—
546C22⋊C4×C139#4114yes—
547C42×C139—22no—
548C42×C139—22no—
549C42×C139—22no—
550C42×C139—22no—
551C42×C139—22no—
552C42×C139—22no—
553C42×C139—41no—
554C42×C139—41no—
555C42×C139—41no—
556C42×C139—41no—
557C42×C139—41no—
558C42×C139—41no—
559C42×C139—41no—
560C42×C139—41no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—21no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—44no—
592C23×C139—44no—
593C23×C139—44no—
594C23×C139—44no—
595C23×C139—82no—
596C23×C139—82no—
597C23×C139—82no—
598C23×C139C2×#4112yes—
599C23×C139C2×#4112yes—
600C23×C139C2×#4112yes—
601C23×C139C2×#4112yes—
602C23×C1392−1+412yes—
603C23×C139C2511yescharacteristic
604Q8×C139—44no—
605D4×C139—28no—
606D4×C139—44no—
607D4×C139—44no—
608D4×C139—44no—
609D4×C139—44no—
610D4×C139—82no—
611D4×C139—82no—
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—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—21no—
663C2×C4×C139—21no—
664C2×C4×C139—21no—
665C2×C4×C139—21no—
666C2×C4×C139—21no—
667C2×C4×C139—21no—
668C2×C4×C139—21no—
669C2×C4×C139—21no—
670C2×C4×C139—21no—
671C2×C4×C139—21no—
672C2×C4×C139—21no—
673C2×C4×C139—21no—
674C2×C4×C139—21no—
675C2×C4×C139—21no—
676C2×C4×C139—21no—
677C2×C4×C139—21no—
678C2×C4×C139—21no—
679C2×C4×C139—21no—
680C2×C4×C139—21no—
681C2×C4×C139—21no—
682C2×C4×C139—44no—
683C2×C4×C139—44no—
684C2×C4×C139—44no—
685C2×C4×C139—44no—
686C2×C4×C139—44no—
687C2×C4×C139—82no—
688C2×C4×C139—82no—
689C2×C4×C139—82no—
690C2×C4×C139—82no—
691C2×C4×C139—82no—
692C2×C4×C139—82no—
693C2×C4×C139—82no—
694C2×C4×C139C2×#4112yes—
695C2×C4×C139C2×#4112yes—
696C2×C4×C139C2×#4112yes—
697C2×C4×C139C2×#4112yes—
698C2×C4×C139C2×#4112yes—
699C2×C4×C139H(5,𝔽2)12yes—
700C2×C4×C139H(5,𝔽2)12yes—
701C2×C4×C139H(5,𝔽2)12yes—
702C22×C139—22no—
703C22×C139—22no—
704C22×C139—22no—
705C22×C139—22no—
706C22×C139—22no—
707C22×C139—22no—
708C22×C139—22no—
709C22×C139—22no—
710C22×C139—22no—
711C22×C139—22no—
712C22×C139—22no—
713C22×C139—22no—
714C22×C139—41no—
715C22×C139—41no—
716C22×C139—41no—
717C22×C139—41no—
718C22×C139—41no—
719C22×C139—41no—
720C22×C139—41no—
721C22×C139—41no—
722C22×C139—41no—
723C22×C139—41no—
724C22×C139—41no—
725C22×C139—41no—
726C22×C139—41no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139—41no—
731C22×C139—41no—
732C22×C139—41no—
733C22×C139—41no—
734C22×C139—41no—
735C22×C139—41no—
736C22×C139—88no—
737C22×C139#52914yes—
738C22×C139C22×#4111yescharacteristic
739C22×C139C22×#4111yescharacteristic
740C22×C139C22×#4111yescharacteristic
741C22×C139C2×H(5,𝔽2)11yescharacteristic
742C22×C139C2×H(5,𝔽2)11yescharacteristic
743C22×C139C2×H(5,𝔽2)11yescharacteristic
744C22×C139C2×2−1+411yescharacteristic
745C4×C139—22no—
746C4×C139—22no—
747C4×C139—22no—
748C4×C139—22no—
749C4×C139—22no—
750C4×C139—22no—
751C4×C139—22no—
752C4×C139—22no—
753C4×C139—41no—
754C4×C139—41no—
755C4×C139—41no—
756C4×C139—41no—
757C4×C139—41no—
758C4×C139—41no—
759C4×C139—41no—
760C4×C139—41no—
761C4×C139—41no—
762C4×C139—41no—
763C4×C139—41no—
764C4×C139—41no—
765C4×C139—41no—
766C4×C139—41no—
767C4×C139—41no—
768C4×C139—41no—
769C4×C139—41no—
770C4×C139—41no—
771C2×C139—24no—
772C2×C139—42no—
773C2×C139—42no—
774C2×C139—81no—
775C2×C139—81no—
776C2×C139C2×#52911yescharacteristic
777C2×C139#351911yescharacteristic
778C2×C139#351911yescharacteristic
779C2×C139#351911yescharacteristic
780C2×C139#352011yescharacteristic
781C2×C139#352011yescharacteristic
782C2×C139#352011yescharacteristic
783#35915C13911yesmaximal, characteristic, direct product factor, Sylow
784C139#3591511yescharacteristic, direct product factor, Sylow
785#2651C2×C13911yescharacteristic, complemented
786#2649C2×C13911yescharacteristic, complemented
787#2643C2×C13911yescharacteristic, complemented
788#2594C2×C13911yescharacteristic, complemented
789#2587C2×C13911yescharacteristic, complemented
790#2576C2×C13911yescharacteristic, complemented
791#2558C2×C13911yescharacteristic, complemented
792#2529C2×C13911yescharacteristic, complemented
793#2526C2×C13911yescharacteristic, complemented
794#2474C2×C13911yescharacteristic, complemented
795#2473C2×C13911yescharacteristic, complemented
796#2472C2×C13911yescharacteristic, complemented
797#2471C2×C13911yescharacteristic, complemented
798#2454C2×C13911yescharacteristic, complemented
799#2450C2×C13911yescharacteristic, complemented
800#2449C2×C13911yescharacteristic, complemented
801#2443C2×C13911yescharacteristic, complemented
802#2426C2×C13911yescharacteristic, complemented
803#2425C2×C13911yescharacteristic, complemented
804#2424C2×C13911yescharacteristic
805#2418C2×C13911yescharacteristic, complemented
806#2396C2×C13911yescharacteristic, complemented
807#2392C2×C13911yescharacteristic, complemented
808C2×#396C2×C13911yescharacteristic, complemented
809#2361C2×C13911yescharacteristic, complemented
810#2360C2×C13911yescharacteristic, complemented
811#2358C2×C13911yescharacteristic, complemented
812#2358C2×C13911yescharacteristic, complemented
813#2352C2×C13911yescharacteristic, complemented
814#2342C2×C13911yescharacteristic, complemented
815#2275C2×C13911yescharacteristic, complemented
816C2×#125C22×C13911yescharacteristic, complemented
817C2×#124C22×C13911yescharacteristic
818C2×#123C22×C13911yescharacteristic
819C2×#123C22×C13911yescharacteristic, complemented
820C2×C22⋊Q8C22×C13911yescharacteristic
821C2×C22⋊Q8C22×C13911yescharacteristic, complemented
822C2×#121C22×C13911yescharacteristic
823C2×#121C22×C13911yescharacteristic
824C2×#120C22×C13911yescharacteristic
825C2×#120C22×C13911yescharacteristic
826C2×C4×Q8C22×C13911yescharacteristic, complemented
827C2×C4×D4C22×C13911yescharacteristic
828C2×C4×D4C22×C13911yescharacteristic
829C2×C4×D4C22×C13911yescharacteristic
830C2×C4×D4C22×C13911yescharacteristic
831C2×C4×D4C22×C13911yescharacteristic
832C2×C4×D4C22×C13911yescharacteristic
833C2×C4×D4C22×C13911yescharacteristic, complemented
834C2×#117C22×C13911yescharacteristic
835C2×#117C22×C13911yescharacteristic, complemented
836C22×C4⋊C4C22×C13911yescharacteristic
837C22×C4⋊C4C22×C13911yescharacteristic
838C22×C4⋊C4C22×C13911yescharacteristic
839C22×C22⋊C4C22×C13911yescharacteristic
840C22×C22⋊C4C22×C13911yescharacteristic
841C22×C22⋊C4C22×C13911yescharacteristic
842C22×C22⋊C4C22×C13911yescharacteristic
843#401C22×C13911yescharacteristic, complemented
844#400C22×C13911yescharacteristic, complemented
845#400C22×C13911yescharacteristic, complemented
846#400C22×C13911yescharacteristic, complemented
847#400C22×C13911yescharacteristic, complemented
848#399C22×C13911yescharacteristic
849#399C22×C13911yescharacteristic, complemented
850#399C22×C13911yescharacteristic, complemented
851#398C22×C13911yescharacteristic, complemented
852#398C22×C13911yescharacteristic, complemented
853#398C22×C13911yescharacteristic, complemented
854#398C22×C13911yescharacteristic, complemented
855#398C22×C13911yescharacteristic, complemented
856#397C22×C13911yescharacteristic
857#397C22×C13911yescharacteristic
858#397C22×C13911yescharacteristic, complemented
859#397C22×C13911yescharacteristic, complemented
860#397C22×C13911yescharacteristic, complemented
861#397C22×C13911yescharacteristic, complemented
862#396C22×C13911yescharacteristic
863#396C22×C13911yescharacteristic
864#396C22×C13911yescharacteristic
865#396C22×C13911yescharacteristic
866#396C22×C13911yescharacteristic
867#396C22×C13911yescharacteristic
868#396C22×C13911yescharacteristic
869#396C22×C13911yescharacteristic
870#396C22×C13911yescharacteristic
871#396C22×C13911yescharacteristic, complemented
872#396C22×C13911yescharacteristic, complemented
873#395C22×C13911yescharacteristic, complemented
874#394C22×C13911yescharacteristic
875#394C22×C13911yescharacteristic
876#394C22×C13911yescharacteristic
877#394C22×C13911yescharacteristic
878#394C22×C13911yescharacteristic
879#394C22×C13911yescharacteristic
880#394C22×C13911yescharacteristic, complemented
881#393C22×C13911yescharacteristic
882#392C22×C13911yescharacteristic
883#391C22×C13911yescharacteristic, complemented
884#390C22×C13911yescharacteristic
885#390C22×C13911yescharacteristic
886#390C22×C13911yescharacteristic
887#390C22×C13911yescharacteristic
888#390C22×C13911yescharacteristic, complemented
889#389C22×C13911yescharacteristic, complemented
890#389C22×C13911yescharacteristic, complemented
891#389C22×C13911yescharacteristic, complemented
892#389C22×C13911yescharacteristic, complemented
893#389C22×C13911yescharacteristic, complemented
894#389C22×C13911yescharacteristic, complemented
895#388C22×C13911yescharacteristic
896#388C22×C13911yescharacteristic
897#388C22×C13911yescharacteristic
898#388C22×C13911yescharacteristic
899#388C22×C13911yescharacteristic
900#388C22×C13911yescharacteristic
901#388C22×C13911yescharacteristic
902#388C22×C13911yescharacteristic
903#388C22×C13911yescharacteristic
904#388C22×C13911yescharacteristic
905#388C22×C13911yescharacteristic
906#388C22×C13911yescharacteristic
907#388C22×C13911yescharacteristic
908#388C22×C13911yescharacteristic, complemented
909#388C22×C13911yescharacteristic, complemented
910#388C22×C13911yescharacteristic, complemented
911#388C22×C13911yescharacteristic, complemented
912#388C22×C13911yescharacteristic, complemented
913#387C22×C13911yescharacteristic, complemented
914#387C22×C13911yescharacteristic, complemented
915#387C22×C13911yescharacteristic, complemented
916#387C22×C13911yescharacteristic, complemented
917#387C22×C13911yescharacteristic, complemented
918#387C22×C13911yescharacteristic, complemented
919#387C22×C13911yescharacteristic, complemented
920#387C22×C13911yescharacteristic, complemented
921#386C22×C13911yescharacteristic
922#386C22×C13911yescharacteristic
923#386C22×C13911yescharacteristic
924#386C22×C13911yescharacteristic
925#386C22×C13911yescharacteristic
926#386C22×C13911yescharacteristic
927#386C22×C13911yescharacteristic
928#386C22×C13911yescharacteristic
929#386C22×C13911yescharacteristic
930#386C22×C13911yescharacteristic
931#386C22×C13911yescharacteristic
932#386C22×C13911yescharacteristic
933#385C22×C13911yescharacteristic
934#385C22×C13911yescharacteristic
935#385C22×C13911yescharacteristic
936#385C22×C13911yescharacteristic
937#385C22×C13911yescharacteristic
938#385C22×C13911yescharacteristic
939#385C22×C13911yescharacteristic
940#385C22×C13911yescharacteristic
941#385C22×C13911yescharacteristic, complemented
942#385C22×C13911yescharacteristic, complemented
943#385C22×C13911yescharacteristic, complemented
944#385C22×C13911yescharacteristic, complemented
945#382C22×C13911yescharacteristic, complemented
946#381C22×C13911yescharacteristic
947#380C22×C13911yescharacteristic
948#380C22×C13911yescharacteristic
949#380C22×C13911yescharacteristic, complemented
950#379C22×C13911yescharacteristic
951C4×C4⋊C4C22×C13911yescharacteristic, complemented
952C4×C4⋊C4C22×C13911yescharacteristic, complemented
953C4×C4⋊C4C22×C13911yescharacteristic, complemented
954C4×C4⋊C4C22×C13911yescharacteristic, complemented
955C4×C4⋊C4C22×C13911yescharacteristic, complemented
956C4×C4⋊C4C22×C13911yescharacteristic, complemented
957C4×C22⋊C4C22×C13911yescharacteristic
958C4×C22⋊C4C22×C13911yescharacteristic
959C4×C22⋊C4C22×C13911yescharacteristic
960C4×C22⋊C4C22×C13911yescharacteristic
961C4×C22⋊C4C22×C13911yescharacteristic
962C4×C22⋊C4C22×C13911yescharacteristic
963C4×C22⋊C4C22×C13911yescharacteristic
964C4×C22⋊C4C22×C13911yescharacteristic
965C4×C22⋊C4C22×C13911yescharacteristic, complemented
966C4×C22⋊C4C22×C13911yescharacteristic, complemented
967C4×C22⋊C4C22×C13911yescharacteristic, complemented
968#376C22×C13911yescharacteristic, complemented
969C2×#95C22×C13911yescharacteristic
970C2×#95C22×C13911yescharacteristic, complemented
971C25C23×C13911yescharacteristic
972C22×Q8C23×C13911yescharacteristic
973C22×D4C23×C13911yescharacteristic
974C22×D4C23×C13911yescharacteristic
975C22×D4C23×C13911yescharacteristic
976C22×D4C23×C13911yescharacteristic
977C22×D4C23×C13911yescharacteristic
978C22×D4C23×C13911yescharacteristic
979C22×D4C23×C13911yescharacteristic
980C23×C4C23×C13911yescharacteristic
981C23×C4C23×C13911yescharacteristic
982C23×C4C23×C13911yescharacteristic
983C23×C4C23×C13911yescharacteristic
984C23×C4C23×C13911yescharacteristic
985C23×C4C23×C13911yescharacteristic
986C23×C4C23×C13911yescharacteristic
987C23×C4C23×C13911yescharacteristic
988C23×C4C23×C13911yescharacteristic
989C23×C4C23×C13911yescharacteristic
990C23×C4C23×C13911yescharacteristic
991C23×C4C23×C13911yescharacteristic
992#125—42no—
993#124—42no—
994#123—42no—
995#123—42no—
996C22⋊Q8—24no—
997C22⋊Q8—42no—
998#121—24no—
999#121—42no—
1000#120—24no—
1001#120—24no—
1002C4×Q8—42no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010#117—42no—
1011#117—42no—
1012C2×C4⋊C4—42no—
1013C2×C4⋊C4—42no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4C23×C13911yescharacteristic
1016C2×C4⋊C4C23×C13911yescharacteristic
1017C2×C4⋊C4C23×C13911yescharacteristic
1018C2×C4⋊C4C23×C13911yescharacteristic
1019C2×C4⋊C4C23×C13911yescharacteristic
1020C2×C4⋊C4C23×C13911yescharacteristic
1021C2×C4⋊C4C23×C13911yescharacteristic
1022C2×C4⋊C4C23×C13911yescharacteristic
1023C2×C4⋊C4C23×C13911yescharacteristic
1024C2×C4⋊C4C23×C13911yescharacteristic
1025C2×C4⋊C4C23×C13911yescharacteristic
1026C2×C4⋊C4C23×C13911yescharacteristic
1027C2×C4⋊C4C23×C13911yescharacteristic
1028C2×C4⋊C4C23×C13911yescharacteristic
1029C2×C4⋊C4C23×C13911yescharacteristic
1030C2×C4⋊C4C23×C13911yescharacteristic
1031C2×C4⋊C4C23×C13911yescharacteristic
1032C2×C4⋊C4C23×C13911yescharacteristic
1033C2×C4⋊C4C23×C13911yescharacteristic
1034C2×C4⋊C4C23×C13911yescharacteristic
1035C2×C4⋊C4C23×C13911yescharacteristic
1036C2×C4⋊C4C23×C13911yescharacteristic
1037C2×C4⋊C4C23×C13911yescharacteristic
1038C2×C4⋊C4C23×C13911yescharacteristic
1039C2×C4⋊C4C23×C13911yescharacteristic
1040C2×C4⋊C4C23×C13911yescharacteristic
1041C2×C4⋊C4C23×C13911yescharacteristic
1042C2×C4⋊C4C23×C13911yescharacteristic
1043C2×C4⋊C4C23×C13911yescharacteristic
1044C2×C4⋊C4C23×C13911yescharacteristic
1045C2×C4⋊C4C23×C13911yescharacteristic
1046C2×C4⋊C4C23×C13911yescharacteristic
1047C2×C4⋊C4C23×C13911yescharacteristic
1048C2×C4⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—42no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4C23×C13911yescharacteristic
1054C2×C22⋊C4C23×C13911yescharacteristic
1055C2×C22⋊C4C23×C13911yescharacteristic
1056C2×C22⋊C4C23×C13911yescharacteristic
1057C2×C22⋊C4C23×C13911yescharacteristic
1058C2×C22⋊C4C23×C13911yescharacteristic
1059C2×C22⋊C4C23×C13911yescharacteristic
1060C2×C22⋊C4C23×C13911yescharacteristic
1061C2×C22⋊C4C23×C13911yescharacteristic
1062C2×C22⋊C4C23×C13911yescharacteristic
1063C2×C22⋊C4C23×C13911yescharacteristic
1064C2×C22⋊C4C23×C13911yescharacteristic
1065C2×C22⋊C4C23×C13911yescharacteristic
1066C2×C22⋊C4C23×C13911yescharacteristic
1067C2×C22⋊C4C23×C13911yescharacteristic
1068C2×C22⋊C4C23×C13911yescharacteristic
1069C2×C22⋊C4C23×C13911yescharacteristic
1070C2×C22⋊C4C23×C13911yescharacteristic
1071C2×C22⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4C23×C13911yescharacteristic
1073C2×C22⋊C4C23×C13911yescharacteristic
1074C2×C22⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4C23×C13911yescharacteristic
1076C2×C22⋊C4C23×C13911yescharacteristic
1077C2×C22⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4C23×C13911yescharacteristic
1079C2×C22⋊C4C23×C13911yescharacteristic
1080C2×C22⋊C4C23×C13911yescharacteristic
1081C2×C22⋊C4C23×C13911yescharacteristic
1082C2×C22⋊C4C23×C13911yescharacteristic
1083C2×C22⋊C4C23×C13911yescharacteristic
1084C2×C22⋊C4C23×C13911yescharacteristic
1085C2×C22⋊C4C23×C13911yescharacteristic
1086C2×C22⋊C4C23×C13911yescharacteristic
1087C2×C22⋊C4C23×C13911yescharacteristic
1088C2×C22⋊C4C23×C13911yescharacteristic
1089C2×C22⋊C4C23×C13911yescharacteristic
1090C2×C22⋊C4C23×C13911yescharacteristic
1091C2×C22⋊C4C23×C13911yescharacteristic
1092C2×C22⋊C4C23×C13911yescharacteristic
1093C2×C22⋊C4C23×C13911yescharacteristic
1094C2×C22⋊C4C23×C13911yescharacteristic
1095C2×C22⋊C4C23×C13911yescharacteristic
1096C2×C22⋊C4C23×C13911yescharacteristic
1097C2×C22⋊C4C23×C13911yescharacteristic
1098C2×C22⋊C4C23×C13911yescharacteristic
1099C2×C42C23×C13911yescharacteristic
1100C2×C42C23×C13911yescharacteristic
1101C2×C42C23×C13911yescharacteristic
1102C2×C42C23×C13911yescharacteristic
1103C2×C42C23×C13911yescharacteristic
1104C2×C42C23×C13911yescharacteristic
1105C2×C42C23×C13911yescharacteristic
1106C2×C42C23×C13911yescharacteristic
1107C2×C42C23×C13911yescharacteristic
1108C2×C42C23×C13911yescharacteristic
1109C2×C42C23×C13911yescharacteristic
1110C2×C42C23×C13911yescharacteristic
1111C2×C42C23×C13911yescharacteristic
1112C2×C42C23×C13911yescharacteristic
1113#95C23×C13911yescharacteristic
1114#95C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127#95C23×C13911yescharacteristic
1128#95C23×C13911yescharacteristic
1129#95C23×C13911yescharacteristic
1130#95C23×C13911yescharacteristic
1131#95C23×C13911yescharacteristic
1132#95C23×C13911yescharacteristic
1133#95C23×C13911yescharacteristic
1134#95C23×C13911yescharacteristic
1135#95C23×C13911yescharacteristic
1136#95C23×C13911yescharacteristic
1137#95C23×C13911yescharacteristic
1138#95C23×C13911yescharacteristic
1139#95C23×C13911yescharacteristic
1140#95C23×C13911yescharacteristic
1141#95C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143#95C23×C13911yescharacteristic
1144#95C23×C13911yescharacteristic
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153C24—22no—
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24C24×C13911yescharacteristic
1161C24C24×C13911yescharacteristic
1162C24C24×C13911yescharacteristic
1163C24C24×C13911yescharacteristic
1164C24C24×C13911yescharacteristic
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—41no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4#41×C13914yes—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
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—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4C24×C13911yescharacteristic
1226C22×C4C24×C13911yescharacteristic
1227C22×C4C24×C13911yescharacteristic
1228C22×C4C24×C13911yescharacteristic
1229C22×C4C24×C13911yescharacteristic
1230C22×C4C24×C13911yescharacteristic
1231C22×C4C24×C13911yescharacteristic
1232C22×C4C24×C13911yescharacteristic
1233C22×C4C24×C13911yescharacteristic
1234C22×C4C24×C13911yescharacteristic
1235C22×C4C24×C13911yescharacteristic
1236C22×C4C24×C13911yescharacteristic
1237C22×C4C24×C13911yescharacteristic
1238C22×C4C24×C13911yescharacteristic
1239C22×C4C24×C13911yescharacteristic
1240C22×C4C24×C13911yescharacteristic
1241C22×C4C24×C13911yescharacteristic
1242C22×C4C24×C13911yescharacteristic
1243C22×C4C24×C13911yescharacteristic
1244C22×C4C24×C13911yescharacteristic
1245C22×C4C24×C13911yescharacteristic
1246C22×C4C24×C13911yescharacteristic
1247C22×C4C24×C13911yescharacteristic
1248C22×C4C24×C13911yescharacteristic
1249C22×C4C24×C13911yescharacteristic
1250C22×C4C24×C13911yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4#41×C13914yes—
1330C22⋊C4#41×C13914yes—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23C2×#41×C13912yes—
1383C23C2×#41×C13912yes—
1384C23C2×#41×C13912yes—
1385C23C2×#41×C13912yes—
1386C232−1+4×C13912yes—
1387C23C25×C13911yescharacteristic
1388Q8—44no—
1389D4—28no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—82no—
1395D4—82no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—82no—
1478C2×C4C2×#41×C13912yes—
1479C2×C4C2×#41×C13912yes—
1480C2×C4C2×#41×C13912yes—
1481C2×C4C2×#41×C13912yes—
1482C2×C4C2×#41×C13912yes—
1483C2×C4H(5,𝔽2)×C13912yes—
1484C2×C4H(5,𝔽2)×C13912yes—
1485C2×C4H(5,𝔽2)×C13912yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—88no—
1521C22#529×C13914yes—
1522C22C22×#41×C13911yescharacteristic
1523C22C22×#41×C13911yescharacteristic
1524C22C22×#41×C13911yescharacteristic
1525C22C2×H(5,𝔽2)×C13911yescharacteristic
1526C22C2×H(5,𝔽2)×C13911yescharacteristic
1527C22C2×H(5,𝔽2)×C13911yescharacteristic
1528C22C2×2−1+4×C13911yescharacteristic
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C2—24no—
1556C2—42no—
1557C2—42no—
1558C2—81no—
1559C2—81no—
1560C2C2×#529×C13911yescharacteristic
1561C2#3519×C13911yescharacteristic
1562C2#3519×C13911yescharacteristic
1563C2#3519×C13911yescharacteristic
1564C2#3520×C13911yescharacteristic
1565C2#3520×C13911yescharacteristic
1566C2#3520×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radical#2424×C139C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2651×C139C2semidirect
2. #2649×C139C2semidirect
3. #2643×C139C2semidirect
4. #2594×C139C2semidirect
5. #2587×C139C2semidirect
6. #2576×C139C2semidirect
7. #2558×C139C2semidirect
8. #2529×C139C2semidirect
9. #2526×C139C2semidirect
10. #2474×C139C2semidirect
11. #2473×C139C2semidirect
12. #2472×C139C2semidirect
13. #2471×C139C2semidirect
14. #2454×C139C2semidirect
15. #2450×C139C2semidirect
16. #2449×C139C2semidirect
17. #2443×C139C2semidirect
18. #2426×C139C2semidirect
19. #2425×C139C2semidirect
21. #2418×C139C2semidirect
22. #2396×C139C2semidirect
23. #2392×C139C2semidirect
24. C2×#396×C139C2semidirect
25. #2361×C139C2semidirect
26. #2360×C139C2semidirect
27. #2358×C139C2semidirect
28. #2358×C139C2semidirect
29. #2352×C139C2semidirect
30. #2342×C139C2semidirect
31. #2275×C139C2semidirect
32. C2×#125×C139C22semidirect
35. C2×#123×C139C22semidirect
37. C2×C22⋊Q8×C139C22semidirect
42. C2×C4×Q8×C139C22semidirect
49. C2×C4×D4×C139C22semidirect
51. C2×#117×C139C22semidirect
59. #401×C139C22semidirect
60. #400×C139C22semidirect
61. #400×C139C22semidirect
62. #400×C139C22semidirect
63. #400×C139C22semidirect
65. #399×C139C22semidirect
66. #399×C139C22semidirect
67. #398×C139C22semidirect
68. #398×C139C22semidirect
69. #398×C139C22semidirect
70. #398×C139C22semidirect
71. #398×C139C22semidirect
74. #397×C139C22semidirect
75. #397×C139C22semidirect
76. #397×C139C22semidirect
77. #397×C139C22semidirect
87. #396×C139C22semidirect
88. #396×C139C22semidirect
89. #395×C139C22semidirect
96. #394×C139C22semidirect
99. #391×C139C22semidirect
104. #390×C139C22semidirect
105. #389×C139C22semidirect
106. #389×C139C22semidirect
107. #389×C139C22semidirect
108. #389×C139C22semidirect
109. #389×C139C22semidirect
110. #389×C139C22semidirect
124. #388×C139C22semidirect
125. #388×C139C22semidirect
126. #388×C139C22semidirect
127. #388×C139C22semidirect
128. #388×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
131. #387×C139C22semidirect
132. #387×C139C22semidirect
133. #387×C139C22semidirect
134. #387×C139C22semidirect
135. #387×C139C22semidirect
136. #387×C139C22semidirect
157. #385×C139C22semidirect
158. #385×C139C22semidirect
159. #385×C139C22semidirect
160. #385×C139C22semidirect
161. #382×C139C22semidirect
165. #380×C139C22semidirect
167. C4×C4⋊C4×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
169. C4×C4⋊C4×C139C22semidirect
170. C4×C4⋊C4×C139C22semidirect
171. C4×C4⋊C4×C139C22semidirect
172. C4×C4⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
184. #376×C139C22semidirect
186. C2×#95×C139C22semidirect
783. #35915C139direct (N × H)
784. C139#35915direct (N × H)
785. #2651C2×C139semidirect
786. #2649C2×C139semidirect
787. #2643C2×C139semidirect
788. #2594C2×C139semidirect
789. #2587C2×C139semidirect
790. #2576C2×C139semidirect
791. #2558C2×C139semidirect
792. #2529C2×C139semidirect
793. #2526C2×C139semidirect
794. #2474C2×C139semidirect
795. #2473C2×C139semidirect
796. #2472C2×C139semidirect
797. #2471C2×C139semidirect
798. #2454C2×C139semidirect
799. #2450C2×C139semidirect
800. #2449C2×C139semidirect
801. #2443C2×C139semidirect
802. #2426C2×C139semidirect
803. #2425C2×C139semidirect
805. #2418C2×C139semidirect
806. #2396C2×C139semidirect
807. #2392C2×C139semidirect
808. C2×#396C2×C139semidirect
809. #2361C2×C139semidirect
810. #2360C2×C139semidirect
811. #2358C2×C139semidirect
812. #2358C2×C139semidirect
813. #2352C2×C139semidirect
814. #2342C2×C139semidirect
815. #2275C2×C139semidirect
816. C2×#125C22×C139semidirect
819. C2×#123C22×C139semidirect
821. C2×C22⋊Q8C22×C139semidirect
826. C2×C4×Q8C22×C139semidirect
833. C2×C4×D4C22×C139semidirect
835. C2×#117C22×C139semidirect
843. #401C22×C139semidirect
844. #400C22×C139semidirect
845. #400C22×C139semidirect
846. #400C22×C139semidirect
847. #400C22×C139semidirect
849. #399C22×C139semidirect
850. #399C22×C139semidirect
851. #398C22×C139semidirect
852. #398C22×C139semidirect
853. #398C22×C139semidirect
854. #398C22×C139semidirect
855. #398C22×C139semidirect
858. #397C22×C139semidirect
859. #397C22×C139semidirect
860. #397C22×C139semidirect
861. #397C22×C139semidirect
871. #396C22×C139semidirect
872. #396C22×C139semidirect
873. #395C22×C139semidirect
880. #394C22×C139semidirect
883. #391C22×C139semidirect
888. #390C22×C139semidirect
889. #389C22×C139semidirect
890. #389C22×C139semidirect
891. #389C22×C139semidirect
892. #389C22×C139semidirect
893. #389C22×C139semidirect
894. #389C22×C139semidirect
908. #388C22×C139semidirect
909. #388C22×C139semidirect
910. #388C22×C139semidirect
911. #388C22×C139semidirect
912. #388C22×C139semidirect
913. #387C22×C139semidirect
914. #387C22×C139semidirect
915. #387C22×C139semidirect
916. #387C22×C139semidirect
917. #387C22×C139semidirect
918. #387C22×C139semidirect
919. #387C22×C139semidirect
920. #387C22×C139semidirect
941. #385C22×C139semidirect
942. #385C22×C139semidirect
943. #385C22×C139semidirect
944. #385C22×C139semidirect
945. #382C22×C139semidirect
949. #380C22×C139semidirect
951. C4×C4⋊C4C22×C139semidirect
952. C4×C4⋊C4C22×C139semidirect
953. C4×C4⋊C4C22×C139semidirect
954. C4×C4⋊C4C22×C139semidirect
955. C4×C4⋊C4C22×C139semidirect
956. C4×C4⋊C4C22×C139semidirect
965. C4×C22⋊C4C22×C139semidirect
966. C4×C22⋊C4C22×C139semidirect
967. C4×C22⋊C4C22×C139semidirect
968. #376C22×C139semidirect
970. C2×#95C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2651×C1392
#2649×C1392
#2643×C1392
#2594×C1392
#2587×C1392
#2576×C1392
#2558×C1392
#2529×C1392
#2526×C1392
#2474×C1392
#2473×C1392
#2472×C1392
#2471×C1392
#2454×C1392
#2450×C1392
#2449×C1392
#2443×C1392
#2426×C1392
#2425×C1392
#2424×C1392
#2418×C1392
#2396×C1392
#2392×C1392
C2×#396×C1392
#2361×C1392
#2360×C1392
#2358×C1392
#2352×C1392
#2342×C1392
#2275×C1392
#35915139