Finite Group Databasebeta

← C139×#35863 #48030459

Subgroups — C139×#35863 #48030459

Order 35584.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2661×C139C211yesmaximal, characteristic, complemented
2#2649×C139C211yesmaximal, characteristic, complemented
3#2648×C139C211yesmaximal, characteristic, complemented
4#2597×C139C211yesmaximal, characteristic, complemented
5#2595×C139C211yesmaximal, characteristic, complemented
6#2558×C139C211yesmaximal, characteristic, complemented
7#2557×C139C211yesmaximal, characteristic, complemented
8#2556×C139C211yesmaximal, characteristic, complemented
9#2555×C139C211yesmaximal, characteristic, complemented
10#2539×C139C211yesmaximal, characteristic, complemented
11#2522×C139C211yesmaximal, characteristic, complemented
12#2490×C139C211yesmaximal, characteristic, complemented
13#2472×C139C211yesmaximal, characteristic, complemented
14#2471×C139C211yesmaximal, characteristic, complemented
15#2470×C139C211yesmaximal, characteristic, complemented
16#2464×C139C211yesmaximal, characteristic, complemented
17#2426×C139C211yesmaximal, characteristic, complemented
18#2424×C139C211yesmaximal, characteristic, complemented
19#2424×C139C211yesmaximal, characteristic, complemented
20#2418×C139C211yesmaximal, characteristic, complemented
21#2411×C139C211yesmaximal, characteristic, complemented
22#2396×C139C211yesmaximal, characteristic, complemented
23#2395×C139C211yesmaximal, characteristic, complemented
24#2392×C139C211yesmaximal, characteristic, complemented
25#2374×C139C211yesmaximal, characteristic, complemented
26#2374×C139C211yesmaximal, characteristic, complemented
27#2367×C139C211yesmaximal, characteristic, complemented
28#2363×C139C211yesmaximal, characteristic, complemented
29#2363×C139C211yesmaximal, characteristic, complemented
30#2363×C139C211yesmaximal, characteristic, complemented
31#2273×C139C211yesmaximal, characteristic, complemented
32C2×#125×C139C2211yescharacteristic, complemented
33C2×#124×C139C2211yescharacteristic
34C2×#124×C139C2211yescharacteristic, complemented
35C2×#123×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×#121×C139C2211yescharacteristic
41C2×#121×C139C2211yescharacteristic
42C2×#121×C139C2211yescharacteristic
43C2×#121×C139C2211yescharacteristic
44C2×#121×C139C2211yescharacteristic
45C2×#120×C139C2211yescharacteristic
46C2×#120×C139C2211yescharacteristic
47C2×#120×C139C2211yescharacteristic
48C2×C4×Q8×C139C2211yescharacteristic, complemented
49C2×C4×D4×C139C2211yescharacteristic
50C2×C4×D4×C139C2211yescharacteristic
51C2×C4×D4×C139C2211yescharacteristic
52C2×C4×D4×C139C2211yescharacteristic, complemented
53C2×#117×C139C2211yescharacteristic
54C2×#117×C139C2211yescharacteristic, complemented
55C2×#117×C139C2211yescharacteristic, complemented
56C22×C22⋊C4×C139C2211yescharacteristic
57C22×C22⋊C4×C139C2211yescharacteristic
58C22×C22⋊C4×C139C2211yescharacteristic
59#400×C139C2211yescharacteristic, complemented
60#400×C139C2211yescharacteristic, complemented
61#400×C139C2211yescharacteristic, complemented
62#399×C139C2211yescharacteristic
63#399×C139C2211yescharacteristic
64#399×C139C2211yescharacteristic
65#398×C139C2211yescharacteristic, complemented
66#398×C139C2211yescharacteristic, complemented
67#398×C139C2211yescharacteristic, complemented
68#397×C139C2211yescharacteristic
69#397×C139C2211yescharacteristic
70#397×C139C2211yescharacteristic, complemented
71#397×C139C2211yescharacteristic, complemented
72#397×C139C2211yescharacteristic, complemented
73#397×C139C2211yescharacteristic, complemented
74#397×C139C2211yescharacteristic, complemented
75#396×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#396×C139C2211yescharacteristic, complemented
80#396×C139C2211yescharacteristic, complemented
81#395×C139C2211yescharacteristic, complemented
82#394×C139C2211yescharacteristic
83#394×C139C2211yescharacteristic
84#394×C139C2211yescharacteristic
85#394×C139C2211yescharacteristic
86#394×C139C2211yescharacteristic
87#394×C139C2211yescharacteristic
88#394×C139C2211yescharacteristic
89#394×C139C2211yescharacteristic
90#394×C139C2211yescharacteristic
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic, complemented
93#393×C139C2211yescharacteristic
94#392×C139C2211yescharacteristic
95#392×C139C2211yescharacteristic
96#392×C139C2211yescharacteristic
97#392×C139C2211yescharacteristic
98#392×C139C2211yescharacteristic, complemented
99#391×C139C2211yescharacteristic, complemented
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#390×C139C2211yescharacteristic
103#390×C139C2211yescharacteristic
104#390×C139C2211yescharacteristic
105#390×C139C2211yescharacteristic
106#390×C139C2211yescharacteristic
107#390×C139C2211yescharacteristic
108#390×C139C2211yescharacteristic
109#390×C139C2211yescharacteristic, complemented
110#390×C139C2211yescharacteristic, complemented
111#390×C139C2211yescharacteristic, complemented
112#390×C139C2211yescharacteristic, complemented
113#389×C139C2211yescharacteristic, complemented
114#389×C139C2211yescharacteristic, complemented
115#389×C139C2211yescharacteristic, complemented
116#389×C139C2211yescharacteristic, complemented
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#388×C139C2211yescharacteristic
122#388×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic, complemented
126#388×C139C2211yescharacteristic, complemented
127#388×C139C2211yescharacteristic, complemented
128#388×C139C2211yescharacteristic, complemented
129#388×C139C2211yescharacteristic, complemented
130#388×C139C2211yescharacteristic, complemented
131#388×C139C2211yescharacteristic, complemented
132#388×C139C2211yescharacteristic, complemented
133#388×C139C2211yescharacteristic, complemented
134#388×C139C2211yescharacteristic, complemented
135#388×C139C2211yescharacteristic, complemented
136#388×C139C2211yescharacteristic, complemented
137#387×C139C2211yescharacteristic, complemented
138#387×C139C2211yescharacteristic, complemented
139#387×C139C2211yescharacteristic, complemented
140#387×C139C2211yescharacteristic, complemented
141#387×C139C2211yescharacteristic, complemented
142#387×C139C2211yescharacteristic, complemented
143#386×C139C2211yescharacteristic
144#386×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#386×C139C2211yescharacteristic
150#386×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic, complemented
153#386×C139C2211yescharacteristic, complemented
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic, complemented
159#380×C139C2211yescharacteristic
160#379×C139C2211yescharacteristic
161C4×C4⋊C4×C139C2211yescharacteristic, complemented
162C4×C4⋊C4×C139C2211yescharacteristic, complemented
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
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183C4×C22⋊C4×C139C2211yescharacteristic, complemented
184C4×C22⋊C4×C139C2211yescharacteristic, complemented
185C4×C22⋊C4×C139C2211yescharacteristic, complemented
186C4×C22⋊C4×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
196C22×D4×C139C2311yescharacteristic
197C22×D4×C139C2311yescharacteristic
198C22×D4×C139C2311yescharacteristic
199C22×D4×C139C2311yescharacteristic
200C22×D4×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
209C23×C4×C139C2311yescharacteristic
210#125×C139—42no—
211#124×C139—24no—
212#124×C139—42no—
213#123×C139—24no—
214#123×C139—24no—
215#123×C139—42no—
216#123×C139—42no—
217C22⋊Q8×C139—42no—
218#121×C139—24no—
219#121×C139—24no—
220#121×C139—24no—
221#121×C139—42no—
222#121×C139—42no—
223#120×C139—42no—
224#120×C139—42no—
225#120×C139—42no—
226C4×Q8×C139—42no—
227C4×D4×C139—42no—
228C4×D4×C139—42no—
229C4×D4×C139—42no—
230C4×D4×C139—42no—
231#117×C139—42no—
232#117×C139—42no—
233#117×C139—42no—
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×C22⋊C4×C139—24no—
262C2×C22⋊C4×C139—24no—
263C2×C22⋊C4×C139—24no—
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C22⋊C4×C139C2311yescharacteristic
305C2×C22⋊C4×C139C2311yescharacteristic
306C2×C22⋊C4×C139C2311yescharacteristic
307C2×C22⋊C4×C139C2311yescharacteristic
308C2×C22⋊C4×C139C2311yescharacteristic
309C2×C22⋊C4×C139C2311yescharacteristic
310C2×C22⋊C4×C139C2311yescharacteristic
311C2×C22⋊C4×C139C2311yescharacteristic
312C2×C22⋊C4×C139C2311yescharacteristic
313C2×C22⋊C4×C139C2311yescharacteristic
314C2×C22⋊C4×C139C2311yescharacteristic
315C2×C22⋊C4×C139C2311yescharacteristic
316C2×C22⋊C4×C139C2311yescharacteristic
317C2×C22⋊C4×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
329C2×C42×C139C2311yescharacteristic
330C2×C42×C139C2311yescharacteristic
331C2×C42×C139C2311yescharacteristic
332C2×C42×C139C2311yescharacteristic
333C2×C42×C139C2311yescharacteristic
334C2×C42×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—41no—
373C24×C139—41no—
374C24×C139—41no—
375C24×C139—41no—
376C24×C139C2411yescharacteristic
377C24×C139C2411yescharacteristic
378C24×C139C2411yescharacteristic
379C24×C139C2411yescharacteristic
380C24×C139C2411yescharacteristic
381C24×C139C2411yescharacteristic
382C2×Q8×C139—22no—
383C2×Q8×C139—22no—
384C2×Q8×C139—41no—
385C2×D4×C139—22no—
386C2×D4×C139—22no—
387C2×D4×C139—22no—
388C2×D4×C139—22no—
389C2×D4×C139—22no—
390C2×D4×C139—22no—
391C2×D4×C139—22no—
392C2×D4×C139—22no—
393C2×D4×C139—22no—
394C2×D4×C139—22no—
395C2×D4×C139—22no—
396C2×D4×C139—22no—
397C2×D4×C139—22no—
398C2×D4×C139—22no—
399C2×D4×C139—22no—
400C2×D4×C139—41no—
401C2×D4×C139—41no—
402C2×D4×C139—41no—
403C2×D4×C139—41no—
404C2×D4×C139—41no—
405C2×D4×C139—41no—
406C2×D4×C139—41no—
407C2×D4×C139—41no—
408C2×D4×C139—41no—
409C2×D4×C139—41no—
410C2×D4×C139—41no—
411C2×D4×C139—41no—
412C2×D4×C139—41no—
413C2×D4×C139—41no—
414C2×D4×C139—41no—
415C2×D4×C139—41no—
416C2×D4×C139—41no—
417C2×D4×C139—41no—
418C2×D4×C139—41no—
419C2×D4×C139—41no—
420C2×D4×C139—41no—
421C22×C4×C139—22no—
422C22×C4×C139—22no—
423C22×C4×C139—22no—
424C22×C4×C139—22no—
425C22×C4×C139—22no—
426C22×C4×C139—22no—
427C22×C4×C139—22no—
428C22×C4×C139—22no—
429C22×C4×C139—22no—
430C22×C4×C139—22no—
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×C139—41no—
442C22×C4×C139—41no—
443C22×C4×C139—41no—
444C22×C4×C139—41no—
445C22×C4×C139—41no—
446C22×C4×C139—41no—
447C22×C4×C139#4114yes—
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
467C22×C4×C139C2411yescharacteristic
468C22×C4×C139C2411yescharacteristic
469C22×C4×C139C2411yescharacteristic
470C22×C4×C139C2411yescharacteristic
471C22×C4×C139C2411yescharacteristic
472C22×C4×C139C2411yescharacteristic
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—22no—
486C4⋊C4×C139—22no—
487C4⋊C4×C139—22no—
488C4⋊C4×C139—22no—
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—
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—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—22no—
528C22⋊C4×C139—22no—
529C22⋊C4×C139—22no—
530C22⋊C4×C139—22no—
531C22⋊C4×C139—22no—
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—41no—
546C22⋊C4×C139—41no—
547C22⋊C4×C139—41no—
548C22⋊C4×C139—41no—
549C22⋊C4×C139—41no—
550C22⋊C4×C139—41no—
551C22⋊C4×C139—41no—
552C22⋊C4×C139#4114yes—
553C22⋊C4×C139#4114yes—
554C42×C139—22no—
555C42×C139—22no—
556C42×C139—22no—
557C42×C139—41no—
558C42×C139—41no—
559C42×C139—41no—
560C42×C139—41no—
561C42×C139—41no—
562C42×C139—41no—
563C42×C139—41no—
564C42×C139—41no—
565C42×C139—41no—
566C42×C139—41no—
567C42×C139—41no—
568C42×C139—41no—
569C42×C139—41no—
570C42×C139—41no—
571C23×C139—28no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—21no—
575C23×C139—21no—
576C23×C139—21no—
577C23×C139—21no—
578C23×C139—21no—
579C23×C139—21no—
580C23×C139—21no—
581C23×C139—21no—
582C23×C139—21no—
583C23×C139—21no—
584C23×C139—21no—
585C23×C139—21no—
586C23×C139—21no—
587C23×C139—21no—
588C23×C139—21no—
589C23×C139—21no—
590C23×C139—21no—
591C23×C139—21no—
592C23×C139—21no—
593C23×C139—21no—
594C23×C139—21no—
595C23×C139—21no—
596C23×C139—21no—
597C23×C139—21no—
598C23×C139—21no—
599C23×C139—21no—
600C23×C139—21no—
601C23×C139—21no—
602C23×C139—21no—
603C23×C139—21no—
604C23×C139—21no—
605C23×C139—21no—
606C23×C139—21no—
607C23×C139—21no—
608C23×C139—21no—
609C23×C139—21no—
610C23×C139—21no—
611C23×C139—82no—
612C23×C139—82no—
613C23×C139—82no—
614C23×C139—82no—
615C23×C139—82no—
616C23×C139—82no—
617C23×C139C2×#4112yes—
618C23×C139C2×#4112yes—
619C23×C139C2×#4112yes—
620C23×C139C2511yescharacteristic
621Q8×C139—44no—
622D4×C139—44no—
623D4×C139—44no—
624D4×C139—44no—
625D4×C139—44no—
626D4×C139—82no—
627D4×C139—82no—
628D4×C139—82no—
629D4×C139—82no—
630D4×C139—82no—
631D4×C139—82no—
632D4×C139—82no—
633D4×C139—82no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—21no—
663C2×C4×C139—21no—
664C2×C4×C139—21no—
665C2×C4×C139—21no—
666C2×C4×C139—21no—
667C2×C4×C139—21no—
668C2×C4×C139—21no—
669C2×C4×C139—21no—
670C2×C4×C139—21no—
671C2×C4×C139—21no—
672C2×C4×C139—21no—
673C2×C4×C139—21no—
674C2×C4×C139—21no—
675C2×C4×C139—21no—
676C2×C4×C139—21no—
677C2×C4×C139—21no—
678C2×C4×C139—21no—
679C2×C4×C139—21no—
680C2×C4×C139—21no—
681C2×C4×C139—21no—
682C2×C4×C139—21no—
683C2×C4×C139—21no—
684C2×C4×C139—21no—
685C2×C4×C139—21no—
686C2×C4×C139—21no—
687C2×C4×C139—21no—
688C2×C4×C139—21no—
689C2×C4×C139—21no—
690C2×C4×C139—21no—
691C2×C4×C139—21no—
692C2×C4×C139—21no—
693C2×C4×C139—21no—
694C2×C4×C139—21no—
695C2×C4×C139—21no—
696C2×C4×C139—21no—
697C2×C4×C139—21no—
698C2×C4×C139—21no—
699C2×C4×C139—21no—
700C2×C4×C139—44no—
701C2×C4×C139—44no—
702C2×C4×C139—44no—
703C2×C4×C139—82no—
704C2×C4×C139—82no—
705C2×C4×C139—82no—
706C2×C4×C139—82no—
707C2×C4×C139—82no—
708C2×C4×C139—82no—
709C2×C4×C139C2×#4112yes—
710C2×C4×C139C2×#4112yes—
711C2×C4×C139C2×#4112yes—
712C2×C4×C139C2×#4112yes—
713C2×C4×C139C2×#4112yes—
714C2×C4×C139C2×#4112yes—
715C2×C4×C139H(5,𝔽2)12yes—
716C2×C4×C139H(5,𝔽2)12yes—
717C2×C4×C139H(5,𝔽2)12yes—
718C22×C139—22no—
719C22×C139—22no—
720C22×C139—22no—
721C22×C139—22no—
722C22×C139—22no—
723C22×C139—22no—
724C22×C139—22no—
725C22×C139—22no—
726C22×C139—22no—
727C22×C139—41no—
728C22×C139—41no—
729C22×C139—41no—
730C22×C139—41no—
731C22×C139—41no—
732C22×C139—41no—
733C22×C139—41no—
734C22×C139—41no—
735C22×C139—41no—
736C22×C139—41no—
737C22×C139—41no—
738C22×C139—41no—
739C22×C139—41no—
740C22×C139—41no—
741C22×C139—41no—
742C22×C139—41no—
743C22×C139—41no—
744C22×C139—41no—
745C22×C139—41no—
746C22×C139—41no—
747C22×C139—41no—
748C22×C139—41no—
749C22×C139—41no—
750C22×C139—41no—
751C22×C139—41no—
752C22×C139—41no—
753C22×C139—41no—
754C22×C139—41no—
755C22×C139—41no—
756C22×C139—41no—
757C22×C139—41no—
758C22×C139—41no—
759C22×C139—41no—
760C22×C139—88no—
761C22×C139C22×#4111yescharacteristic
762C22×C139C22×#4111yescharacteristic
763C22×C139C22×#4111yescharacteristic
764C22×C139C2×H(5,𝔽2)11yescharacteristic
765C22×C139C2×H(5,𝔽2)11yescharacteristic
766C22×C139C2×H(5,𝔽2)11yescharacteristic
767C22×C139#58511yescharacteristic
768C4×C139—22no—
769C4×C139—22no—
770C4×C139—22no—
771C4×C139—22no—
772C4×C139—22no—
773C4×C139—22no—
774C4×C139—22no—
775C4×C139—22no—
776C4×C139—22no—
777C4×C139—41no—
778C4×C139—41no—
779C4×C139—41no—
780C4×C139—41no—
781C4×C139—41no—
782C4×C139—41no—
783C4×C139—41no—
784C4×C139—41no—
785C4×C139—41no—
786C4×C139—41no—
787C4×C139—41no—
788C4×C139—41no—
789C4×C139—41no—
790C4×C139—41no—
791C4×C139—41no—
792C4×C139—41no—
793C2×C139—42no—
794C2×C139—42no—
795C2×C139—42no—
796C2×C139—81no—
797C2×C139—81no—
798C2×C139—81no—
799C2×C139#344411yescharacteristic
800C2×C139#350511yescharacteristic
801C2×C139#350811yescharacteristic
802C2×C139#351311yescharacteristic
803C2×C139#351411yescharacteristic
804C2×C139#351911yescharacteristic
805C2×C139#351911yescharacteristic
806#35863C13911yesmaximal, characteristic, direct product factor, Sylow
807C139#3586311yescharacteristic, direct product factor, Sylow
808#2661C2×C13911yescharacteristic, complemented
809#2649C2×C13911yescharacteristic, complemented
810#2648C2×C13911yescharacteristic, complemented
811#2597C2×C13911yescharacteristic, complemented
812#2595C2×C13911yescharacteristic, complemented
813#2558C2×C13911yescharacteristic, complemented
814#2557C2×C13911yescharacteristic, complemented
815#2556C2×C13911yescharacteristic, complemented
816#2555C2×C13911yescharacteristic, complemented
817#2539C2×C13911yescharacteristic, complemented
818#2522C2×C13911yescharacteristic, complemented
819#2490C2×C13911yescharacteristic, complemented
820#2472C2×C13911yescharacteristic, complemented
821#2471C2×C13911yescharacteristic, complemented
822#2470C2×C13911yescharacteristic, complemented
823#2464C2×C13911yescharacteristic, complemented
824#2426C2×C13911yescharacteristic, complemented
825#2424C2×C13911yescharacteristic, complemented
826#2424C2×C13911yescharacteristic, complemented
827#2418C2×C13911yescharacteristic, complemented
828#2411C2×C13911yescharacteristic, complemented
829#2396C2×C13911yescharacteristic, complemented
830#2395C2×C13911yescharacteristic, complemented
831#2392C2×C13911yescharacteristic, complemented
832#2374C2×C13911yescharacteristic, complemented
833#2374C2×C13911yescharacteristic, complemented
834#2367C2×C13911yescharacteristic, complemented
835#2363C2×C13911yescharacteristic, complemented
836#2363C2×C13911yescharacteristic, complemented
837#2363C2×C13911yescharacteristic, complemented
838#2273C2×C13911yescharacteristic, complemented
839C2×#125C22×C13911yescharacteristic, complemented
840C2×#124C22×C13911yescharacteristic
841C2×#124C22×C13911yescharacteristic, complemented
842C2×#123C22×C13911yescharacteristic
843C2×#123C22×C13911yescharacteristic
844C2×#123C22×C13911yescharacteristic
845C2×#123C22×C13911yescharacteristic
846C2×C22⋊Q8C22×C13911yescharacteristic
847C2×#121C22×C13911yescharacteristic
848C2×#121C22×C13911yescharacteristic
849C2×#121C22×C13911yescharacteristic
850C2×#121C22×C13911yescharacteristic
851C2×#121C22×C13911yescharacteristic
852C2×#120C22×C13911yescharacteristic
853C2×#120C22×C13911yescharacteristic
854C2×#120C22×C13911yescharacteristic
855C2×C4×Q8C22×C13911yescharacteristic, complemented
856C2×C4×D4C22×C13911yescharacteristic
857C2×C4×D4C22×C13911yescharacteristic
858C2×C4×D4C22×C13911yescharacteristic
859C2×C4×D4C22×C13911yescharacteristic, complemented
860C2×#117C22×C13911yescharacteristic
861C2×#117C22×C13911yescharacteristic, complemented
862C2×#117C22×C13911yescharacteristic, complemented
863C22×C22⋊C4C22×C13911yescharacteristic
864C22×C22⋊C4C22×C13911yescharacteristic
865C22×C22⋊C4C22×C13911yescharacteristic
866#400C22×C13911yescharacteristic, complemented
867#400C22×C13911yescharacteristic, complemented
868#400C22×C13911yescharacteristic, complemented
869#399C22×C13911yescharacteristic
870#399C22×C13911yescharacteristic
871#399C22×C13911yescharacteristic
872#398C22×C13911yescharacteristic, complemented
873#398C22×C13911yescharacteristic, complemented
874#398C22×C13911yescharacteristic, complemented
875#397C22×C13911yescharacteristic
876#397C22×C13911yescharacteristic
877#397C22×C13911yescharacteristic, complemented
878#397C22×C13911yescharacteristic, complemented
879#397C22×C13911yescharacteristic, complemented
880#397C22×C13911yescharacteristic, complemented
881#397C22×C13911yescharacteristic, complemented
882#396C22×C13911yescharacteristic
883#396C22×C13911yescharacteristic
884#396C22×C13911yescharacteristic
885#396C22×C13911yescharacteristic
886#396C22×C13911yescharacteristic, complemented
887#396C22×C13911yescharacteristic, complemented
888#395C22×C13911yescharacteristic, complemented
889#394C22×C13911yescharacteristic
890#394C22×C13911yescharacteristic
891#394C22×C13911yescharacteristic
892#394C22×C13911yescharacteristic
893#394C22×C13911yescharacteristic
894#394C22×C13911yescharacteristic
895#394C22×C13911yescharacteristic
896#394C22×C13911yescharacteristic
897#394C22×C13911yescharacteristic
898#394C22×C13911yescharacteristic
899#394C22×C13911yescharacteristic, complemented
900#393C22×C13911yescharacteristic
901#392C22×C13911yescharacteristic
902#392C22×C13911yescharacteristic
903#392C22×C13911yescharacteristic
904#392C22×C13911yescharacteristic
905#392C22×C13911yescharacteristic, complemented
906#391C22×C13911yescharacteristic, complemented
907#390C22×C13911yescharacteristic
908#390C22×C13911yescharacteristic
909#390C22×C13911yescharacteristic
910#390C22×C13911yescharacteristic
911#390C22×C13911yescharacteristic
912#390C22×C13911yescharacteristic
913#390C22×C13911yescharacteristic
914#390C22×C13911yescharacteristic
915#390C22×C13911yescharacteristic
916#390C22×C13911yescharacteristic, complemented
917#390C22×C13911yescharacteristic, complemented
918#390C22×C13911yescharacteristic, complemented
919#390C22×C13911yescharacteristic, complemented
920#389C22×C13911yescharacteristic, complemented
921#389C22×C13911yescharacteristic, complemented
922#389C22×C13911yescharacteristic, complemented
923#389C22×C13911yescharacteristic, complemented
924#388C22×C13911yescharacteristic
925#388C22×C13911yescharacteristic
926#388C22×C13911yescharacteristic
927#388C22×C13911yescharacteristic
928#388C22×C13911yescharacteristic
929#388C22×C13911yescharacteristic
930#388C22×C13911yescharacteristic
931#388C22×C13911yescharacteristic
932#388C22×C13911yescharacteristic, complemented
933#388C22×C13911yescharacteristic, complemented
934#388C22×C13911yescharacteristic, complemented
935#388C22×C13911yescharacteristic, complemented
936#388C22×C13911yescharacteristic, complemented
937#388C22×C13911yescharacteristic, complemented
938#388C22×C13911yescharacteristic, complemented
939#388C22×C13911yescharacteristic, complemented
940#388C22×C13911yescharacteristic, complemented
941#388C22×C13911yescharacteristic, complemented
942#388C22×C13911yescharacteristic, complemented
943#388C22×C13911yescharacteristic, complemented
944#387C22×C13911yescharacteristic, complemented
945#387C22×C13911yescharacteristic, complemented
946#387C22×C13911yescharacteristic, complemented
947#387C22×C13911yescharacteristic, complemented
948#387C22×C13911yescharacteristic, complemented
949#387C22×C13911yescharacteristic, complemented
950#386C22×C13911yescharacteristic
951#386C22×C13911yescharacteristic
952#386C22×C13911yescharacteristic
953#386C22×C13911yescharacteristic
954#386C22×C13911yescharacteristic
955#386C22×C13911yescharacteristic
956#386C22×C13911yescharacteristic
957#386C22×C13911yescharacteristic
958#386C22×C13911yescharacteristic
959#386C22×C13911yescharacteristic, complemented
960#386C22×C13911yescharacteristic, complemented
961#385C22×C13911yescharacteristic
962#385C22×C13911yescharacteristic
963#385C22×C13911yescharacteristic
964#385C22×C13911yescharacteristic
965#385C22×C13911yescharacteristic, complemented
966#380C22×C13911yescharacteristic
967#379C22×C13911yescharacteristic
968C4×C4⋊C4C22×C13911yescharacteristic, complemented
969C4×C4⋊C4C22×C13911yescharacteristic, complemented
970C4×C4⋊C4C22×C13911yescharacteristic, complemented
971C4×C4⋊C4C22×C13911yescharacteristic, complemented
972C4×C4⋊C4C22×C13911yescharacteristic, complemented
973C4×C4⋊C4C22×C13911yescharacteristic, complemented
974C4×C4⋊C4C22×C13911yescharacteristic, complemented
975C4×C22⋊C4C22×C13911yescharacteristic
976C4×C22⋊C4C22×C13911yescharacteristic
977C4×C22⋊C4C22×C13911yescharacteristic
978C4×C22⋊C4C22×C13911yescharacteristic
979C4×C22⋊C4C22×C13911yescharacteristic
980C4×C22⋊C4C22×C13911yescharacteristic
981C4×C22⋊C4C22×C13911yescharacteristic
982C4×C22⋊C4C22×C13911yescharacteristic
983C4×C22⋊C4C22×C13911yescharacteristic
984C4×C22⋊C4C22×C13911yescharacteristic
985C4×C22⋊C4C22×C13911yescharacteristic
986C4×C22⋊C4C22×C13911yescharacteristic
987C4×C22⋊C4C22×C13911yescharacteristic
988C4×C22⋊C4C22×C13911yescharacteristic
989C4×C22⋊C4C22×C13911yescharacteristic, complemented
990C4×C22⋊C4C22×C13911yescharacteristic, complemented
991C4×C22⋊C4C22×C13911yescharacteristic, complemented
992C4×C22⋊C4C22×C13911yescharacteristic, complemented
993C4×C22⋊C4C22×C13911yescharacteristic, complemented
994C25C23×C13911yescharacteristic
995C22×Q8C23×C13911yescharacteristic
996C22×D4C23×C13911yescharacteristic
997C22×D4C23×C13911yescharacteristic
998C22×D4C23×C13911yescharacteristic
999C22×D4C23×C13911yescharacteristic
1000C22×D4C23×C13911yescharacteristic
1001C22×D4C23×C13911yescharacteristic
1002C22×D4C23×C13911yescharacteristic
1003C22×D4C23×C13911yescharacteristic
1004C22×D4C23×C13911yescharacteristic
1005C22×D4C23×C13911yescharacteristic
1006C22×D4C23×C13911yescharacteristic
1007C22×D4C23×C13911yescharacteristic
1008C23×C4C23×C13911yescharacteristic
1009C23×C4C23×C13911yescharacteristic
1010C23×C4C23×C13911yescharacteristic
1011C23×C4C23×C13911yescharacteristic
1012C23×C4C23×C13911yescharacteristic
1013C23×C4C23×C13911yescharacteristic
1014C23×C4C23×C13911yescharacteristic
1015C23×C4C23×C13911yescharacteristic
1016C23×C4C23×C13911yescharacteristic
1017#125—42no—
1018#124—24no—
1019#124—42no—
1020#123—24no—
1021#123—24no—
1022#123—42no—
1023#123—42no—
1024C22⋊Q8—42no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—42no—
1029#121—42no—
1030#120—42no—
1031#120—42no—
1032#120—42no—
1033C4×Q8—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—42no—
1038#117—42no—
1039#117—42no—
1040#117—42no—
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×C4⋊C4C23×C13911yescharacteristic
1050C2×C4⋊C4C23×C13911yescharacteristic
1051C2×C4⋊C4C23×C13911yescharacteristic
1052C2×C4⋊C4C23×C13911yescharacteristic
1053C2×C4⋊C4C23×C13911yescharacteristic
1054C2×C4⋊C4C23×C13911yescharacteristic
1055C2×C4⋊C4C23×C13911yescharacteristic
1056C2×C4⋊C4C23×C13911yescharacteristic
1057C2×C4⋊C4C23×C13911yescharacteristic
1058C2×C4⋊C4C23×C13911yescharacteristic
1059C2×C4⋊C4C23×C13911yescharacteristic
1060C2×C4⋊C4C23×C13911yescharacteristic
1061C2×C4⋊C4C23×C13911yescharacteristic
1062C2×C4⋊C4C23×C13911yescharacteristic
1063C2×C4⋊C4C23×C13911yescharacteristic
1064C2×C4⋊C4C23×C13911yescharacteristic
1065C2×C4⋊C4C23×C13911yescharacteristic
1066C2×C4⋊C4C23×C13911yescharacteristic
1067C2×C4⋊C4C23×C13911yescharacteristic
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4C23×C13911yescharacteristic
1072C2×C22⋊C4C23×C13911yescharacteristic
1073C2×C22⋊C4C23×C13911yescharacteristic
1074C2×C22⋊C4C23×C13911yescharacteristic
1075C2×C22⋊C4C23×C13911yescharacteristic
1076C2×C22⋊C4C23×C13911yescharacteristic
1077C2×C22⋊C4C23×C13911yescharacteristic
1078C2×C22⋊C4C23×C13911yescharacteristic
1079C2×C22⋊C4C23×C13911yescharacteristic
1080C2×C22⋊C4C23×C13911yescharacteristic
1081C2×C22⋊C4C23×C13911yescharacteristic
1082C2×C22⋊C4C23×C13911yescharacteristic
1083C2×C22⋊C4C23×C13911yescharacteristic
1084C2×C22⋊C4C23×C13911yescharacteristic
1085C2×C22⋊C4C23×C13911yescharacteristic
1086C2×C22⋊C4C23×C13911yescharacteristic
1087C2×C22⋊C4C23×C13911yescharacteristic
1088C2×C22⋊C4C23×C13911yescharacteristic
1089C2×C22⋊C4C23×C13911yescharacteristic
1090C2×C22⋊C4C23×C13911yescharacteristic
1091C2×C22⋊C4C23×C13911yescharacteristic
1092C2×C22⋊C4C23×C13911yescharacteristic
1093C2×C22⋊C4C23×C13911yescharacteristic
1094C2×C22⋊C4C23×C13911yescharacteristic
1095C2×C22⋊C4C23×C13911yescharacteristic
1096C2×C22⋊C4C23×C13911yescharacteristic
1097C2×C22⋊C4C23×C13911yescharacteristic
1098C2×C22⋊C4C23×C13911yescharacteristic
1099C2×C22⋊C4C23×C13911yescharacteristic
1100C2×C22⋊C4C23×C13911yescharacteristic
1101C2×C22⋊C4C23×C13911yescharacteristic
1102C2×C22⋊C4C23×C13911yescharacteristic
1103C2×C22⋊C4C23×C13911yescharacteristic
1104C2×C22⋊C4C23×C13911yescharacteristic
1105C2×C22⋊C4C23×C13911yescharacteristic
1106C2×C22⋊C4C23×C13911yescharacteristic
1107C2×C22⋊C4C23×C13911yescharacteristic
1108C2×C22⋊C4C23×C13911yescharacteristic
1109C2×C22⋊C4C23×C13911yescharacteristic
1110C2×C22⋊C4C23×C13911yescharacteristic
1111C2×C22⋊C4C23×C13911yescharacteristic
1112C2×C22⋊C4C23×C13911yescharacteristic
1113C2×C22⋊C4C23×C13911yescharacteristic
1114C2×C22⋊C4C23×C13911yescharacteristic
1115C2×C22⋊C4C23×C13911yescharacteristic
1116C2×C22⋊C4C23×C13911yescharacteristic
1117C2×C22⋊C4C23×C13911yescharacteristic
1118C2×C22⋊C4C23×C13911yescharacteristic
1119C2×C22⋊C4C23×C13911yescharacteristic
1120C2×C22⋊C4C23×C13911yescharacteristic
1121C2×C22⋊C4C23×C13911yescharacteristic
1122C2×C22⋊C4C23×C13911yescharacteristic
1123C2×C22⋊C4C23×C13911yescharacteristic
1124C2×C22⋊C4C23×C13911yescharacteristic
1125C2×C42C23×C13911yescharacteristic
1126C2×C42C23×C13911yescharacteristic
1127C2×C42C23×C13911yescharacteristic
1128C2×C42C23×C13911yescharacteristic
1129C2×C42C23×C13911yescharacteristic
1130C2×C42C23×C13911yescharacteristic
1131C2×C42C23×C13911yescharacteristic
1132C2×C42C23×C13911yescharacteristic
1133C2×C42C23×C13911yescharacteristic
1134C2×C42C23×C13911yescharacteristic
1135C2×C42C23×C13911yescharacteristic
1136C2×C42C23×C13911yescharacteristic
1137C2×C42C23×C13911yescharacteristic
1138C2×C42C23×C13911yescharacteristic
1139C2×C42C23×C13911yescharacteristic
1140C2×C42C23×C13911yescharacteristic
1141C2×C42C23×C13911yescharacteristic
1142#95C23×C13911yescharacteristic
1143#95C23×C13911yescharacteristic
1144#95C23×C13911yescharacteristic
1145#95C23×C13911yescharacteristic
1146#95C23×C13911yescharacteristic
1147#95C23×C13911yescharacteristic
1148#95C23×C13911yescharacteristic
1149#95C23×C13911yescharacteristic
1150#95C23×C13911yescharacteristic
1151#95C23×C13911yescharacteristic
1152#95C23×C13911yescharacteristic
1153#95C23×C13911yescharacteristic
1154#95C23×C13911yescharacteristic
1155#95C23×C13911yescharacteristic
1156#95C23×C13911yescharacteristic
1157#95C23×C13911yescharacteristic
1158#95C23×C13911yescharacteristic
1159#95C23×C13911yescharacteristic
1160#95C23×C13911yescharacteristic
1161#95C23×C13911yescharacteristic
1162#95C23×C13911yescharacteristic
1163#95C23×C13911yescharacteristic
1164#95C23×C13911yescharacteristic
1165#95C23×C13911yescharacteristic
1166#95C23×C13911yescharacteristic
1167#95C23×C13911yescharacteristic
1168#95C23×C13911yescharacteristic
1169#95C23×C13911yescharacteristic
1170#95C23×C13911yescharacteristic
1171#95C23×C13911yescharacteristic
1172#95C23×C13911yescharacteristic
1173#95C23×C13911yescharacteristic
1174#95C23×C13911yescharacteristic
1175#95C23×C13911yescharacteristic
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24C24×C13911yescharacteristic
1184C24C24×C13911yescharacteristic
1185C24C24×C13911yescharacteristic
1186C24C24×C13911yescharacteristic
1187C24C24×C13911yescharacteristic
1188C24C24×C13911yescharacteristic
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4#41×C13914yes—
1255C22×C4C24×C13911yescharacteristic
1256C22×C4C24×C13911yescharacteristic
1257C22×C4C24×C13911yescharacteristic
1258C22×C4C24×C13911yescharacteristic
1259C22×C4C24×C13911yescharacteristic
1260C22×C4C24×C13911yescharacteristic
1261C22×C4C24×C13911yescharacteristic
1262C22×C4C24×C13911yescharacteristic
1263C22×C4C24×C13911yescharacteristic
1264C22×C4C24×C13911yescharacteristic
1265C22×C4C24×C13911yescharacteristic
1266C22×C4C24×C13911yescharacteristic
1267C22×C4C24×C13911yescharacteristic
1268C22×C4C24×C13911yescharacteristic
1269C22×C4C24×C13911yescharacteristic
1270C22×C4C24×C13911yescharacteristic
1271C22×C4C24×C13911yescharacteristic
1272C22×C4C24×C13911yescharacteristic
1273C22×C4C24×C13911yescharacteristic
1274C22×C4C24×C13911yescharacteristic
1275C22×C4C24×C13911yescharacteristic
1276C22×C4C24×C13911yescharacteristic
1277C22×C4C24×C13911yescharacteristic
1278C22×C4C24×C13911yescharacteristic
1279C22×C4C24×C13911yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4#41×C13914yes—
1360C22⋊C4#41×C13914yes—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C23—28no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—82no—
1419C23—82no—
1420C23—82no—
1421C23—82no—
1422C23—82no—
1423C23—82no—
1424C23C2×#41×C13912yes—
1425C23C2×#41×C13912yes—
1426C23C2×#41×C13912yes—
1427C23C25×C13911yescharacteristic
1428Q8—44no—
1429D4—44no—
1430D4—44no—
1431D4—44no—
1432D4—44no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4C2×#41×C13912yes—
1517C2×C4C2×#41×C13912yes—
1518C2×C4C2×#41×C13912yes—
1519C2×C4C2×#41×C13912yes—
1520C2×C4C2×#41×C13912yes—
1521C2×C4C2×#41×C13912yes—
1522C2×C4H(5,𝔽2)×C13912yes—
1523C2×C4H(5,𝔽2)×C13912yes—
1524C2×C4H(5,𝔽2)×C13912yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—88no—
1568C22C22×#41×C13911yescharacteristic
1569C22C22×#41×C13911yescharacteristic
1570C22C22×#41×C13911yescharacteristic
1571C22C2×H(5,𝔽2)×C13911yescharacteristic
1572C22C2×H(5,𝔽2)×C13911yescharacteristic
1573C22C2×H(5,𝔽2)×C13911yescharacteristic
1574C22#585×C13911yescharacteristic
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C2—42no—
1601C2—42no—
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—81no—
1606C2#3444×C13911yescharacteristic
1607C2#3505×C13911yescharacteristic
1608C2#3508×C13911yescharacteristic
1609C2#3513×C13911yescharacteristic
1610C2#3514×C13911yescharacteristic
1611C2#3519×C13911yescharacteristic
1612C2#3519×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2661×C139C2semidirect
2. #2649×C139C2semidirect
3. #2648×C139C2semidirect
4. #2597×C139C2semidirect
5. #2595×C139C2semidirect
6. #2558×C139C2semidirect
7. #2557×C139C2semidirect
8. #2556×C139C2semidirect
9. #2555×C139C2semidirect
10. #2539×C139C2semidirect
11. #2522×C139C2semidirect
12. #2490×C139C2semidirect
13. #2472×C139C2semidirect
14. #2471×C139C2semidirect
15. #2470×C139C2semidirect
16. #2464×C139C2semidirect
17. #2426×C139C2semidirect
18. #2424×C139C2semidirect
19. #2424×C139C2semidirect
20. #2418×C139C2semidirect
21. #2411×C139C2semidirect
22. #2396×C139C2semidirect
23. #2395×C139C2semidirect
24. #2392×C139C2semidirect
25. #2374×C139C2semidirect
26. #2374×C139C2semidirect
27. #2367×C139C2semidirect
28. #2363×C139C2semidirect
29. #2363×C139C2semidirect
30. #2363×C139C2semidirect
31. #2273×C139C2semidirect
32. C2×#125×C139C22semidirect
34. C2×#124×C139C22semidirect
48. C2×C4×Q8×C139C22semidirect
52. C2×C4×D4×C139C22semidirect
54. C2×#117×C139C22semidirect
55. C2×#117×C139C22semidirect
59. #400×C139C22semidirect
60. #400×C139C22semidirect
61. #400×C139C22semidirect
65. #398×C139C22semidirect
66. #398×C139C22semidirect
67. #398×C139C22semidirect
70. #397×C139C22semidirect
71. #397×C139C22semidirect
72. #397×C139C22semidirect
73. #397×C139C22semidirect
74. #397×C139C22semidirect
79. #396×C139C22semidirect
80. #396×C139C22semidirect
81. #395×C139C22semidirect
92. #394×C139C22semidirect
98. #392×C139C22semidirect
99. #391×C139C22semidirect
109. #390×C139C22semidirect
110. #390×C139C22semidirect
111. #390×C139C22semidirect
112. #390×C139C22semidirect
113. #389×C139C22semidirect
114. #389×C139C22semidirect
115. #389×C139C22semidirect
116. #389×C139C22semidirect
125. #388×C139C22semidirect
126. #388×C139C22semidirect
127. #388×C139C22semidirect
128. #388×C139C22semidirect
129. #388×C139C22semidirect
130. #388×C139C22semidirect
131. #388×C139C22semidirect
132. #388×C139C22semidirect
133. #388×C139C22semidirect
134. #388×C139C22semidirect
135. #388×C139C22semidirect
136. #388×C139C22semidirect
137. #387×C139C22semidirect
138. #387×C139C22semidirect
139. #387×C139C22semidirect
140. #387×C139C22semidirect
141. #387×C139C22semidirect
142. #387×C139C22semidirect
152. #386×C139C22semidirect
153. #386×C139C22semidirect
158. #385×C139C22semidirect
161. C4×C4⋊C4×C139C22semidirect
162. C4×C4⋊C4×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
182. C4×C22⋊C4×C139C22semidirect
183. C4×C22⋊C4×C139C22semidirect
184. C4×C22⋊C4×C139C22semidirect
185. C4×C22⋊C4×C139C22semidirect
186. C4×C22⋊C4×C139C22semidirect
806. #35863C139direct (N × H)
807. C139#35863direct (N × H)
808. #2661C2×C139semidirect
809. #2649C2×C139semidirect
810. #2648C2×C139semidirect
811. #2597C2×C139semidirect
812. #2595C2×C139semidirect
813. #2558C2×C139semidirect
814. #2557C2×C139semidirect
815. #2556C2×C139semidirect
816. #2555C2×C139semidirect
817. #2539C2×C139semidirect
818. #2522C2×C139semidirect
819. #2490C2×C139semidirect
820. #2472C2×C139semidirect
821. #2471C2×C139semidirect
822. #2470C2×C139semidirect
823. #2464C2×C139semidirect
824. #2426C2×C139semidirect
825. #2424C2×C139semidirect
826. #2424C2×C139semidirect
827. #2418C2×C139semidirect
828. #2411C2×C139semidirect
829. #2396C2×C139semidirect
830. #2395C2×C139semidirect
831. #2392C2×C139semidirect
832. #2374C2×C139semidirect
833. #2374C2×C139semidirect
834. #2367C2×C139semidirect
835. #2363C2×C139semidirect
836. #2363C2×C139semidirect
837. #2363C2×C139semidirect
838. #2273C2×C139semidirect
839. C2×#125C22×C139semidirect
841. C2×#124C22×C139semidirect
855. C2×C4×Q8C22×C139semidirect
859. C2×C4×D4C22×C139semidirect
861. C2×#117C22×C139semidirect
862. C2×#117C22×C139semidirect
866. #400C22×C139semidirect
867. #400C22×C139semidirect
868. #400C22×C139semidirect
872. #398C22×C139semidirect
873. #398C22×C139semidirect
874. #398C22×C139semidirect
877. #397C22×C139semidirect
878. #397C22×C139semidirect
879. #397C22×C139semidirect
880. #397C22×C139semidirect
881. #397C22×C139semidirect
886. #396C22×C139semidirect
887. #396C22×C139semidirect
888. #395C22×C139semidirect
899. #394C22×C139semidirect
905. #392C22×C139semidirect
906. #391C22×C139semidirect
916. #390C22×C139semidirect
917. #390C22×C139semidirect
918. #390C22×C139semidirect
919. #390C22×C139semidirect
920. #389C22×C139semidirect
921. #389C22×C139semidirect
922. #389C22×C139semidirect
923. #389C22×C139semidirect
932. #388C22×C139semidirect
933. #388C22×C139semidirect
934. #388C22×C139semidirect
935. #388C22×C139semidirect
936. #388C22×C139semidirect
937. #388C22×C139semidirect
938. #388C22×C139semidirect
939. #388C22×C139semidirect
940. #388C22×C139semidirect
941. #388C22×C139semidirect
942. #388C22×C139semidirect
943. #388C22×C139semidirect
944. #387C22×C139semidirect
945. #387C22×C139semidirect
946. #387C22×C139semidirect
947. #387C22×C139semidirect
948. #387C22×C139semidirect
949. #387C22×C139semidirect
959. #386C22×C139semidirect
960. #386C22×C139semidirect
965. #385C22×C139semidirect
968. C4×C4⋊C4C22×C139semidirect
969. C4×C4⋊C4C22×C139semidirect
970. C4×C4⋊C4C22×C139semidirect
971. C4×C4⋊C4C22×C139semidirect
972. C4×C4⋊C4C22×C139semidirect
973. C4×C4⋊C4C22×C139semidirect
974. C4×C4⋊C4C22×C139semidirect
989. C4×C22⋊C4C22×C139semidirect
990. C4×C22⋊C4C22×C139semidirect
991. C4×C22⋊C4C22×C139semidirect
992. C4×C22⋊C4C22×C139semidirect
993. C4×C22⋊C4C22×C139semidirect

Maximal subgroups

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

subgroupindex
#2661×C1392
#2649×C1392
#2648×C1392
#2597×C1392
#2595×C1392
#2558×C1392
#2557×C1392
#2556×C1392
#2555×C1392
#2539×C1392
#2522×C1392
#2490×C1392
#2472×C1392
#2471×C1392
#2470×C1392
#2464×C1392
#2426×C1392
#2424×C1392
#2418×C1392
#2411×C1392
#2396×C1392
#2395×C1392
#2392×C1392
#2374×C1392
#2367×C1392
#2363×C1392
#2273×C1392
#35863139