Finite Group Databasebeta

← C139×#36223 #48030819

Subgroups — C139×#36223 #48030819

Order 35584.

2528 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#552×C139C211yesmaximal, characteristic, complemented
2C22×#117×C139C211yesmaximal, characteristic, complemented
3#2852×C139C211yesmaximal, characteristic, complemented
4#2851×C139C211yesmaximal, characteristic, complemented
5#2849×C139C211yesmaximal, characteristic
6#2611×C139C211yesmaximal, characteristic, complemented
7#2609×C139C211yesmaximal, characteristic, complemented
8#2601×C139C211yesmaximal, characteristic, complemented
9#2599×C139C211yesmaximal, characteristic, complemented
10#2498×C139C211yesmaximal, characteristic, complemented
11#2484×C139C211yesmaximal, characteristic, complemented
12#2481×C139C211yesmaximal, characteristic, complemented
13#2479×C139C211yesmaximal, characteristic, complemented
14#2477×C139C211yesmaximal, characteristic, complemented
15#2475×C139C211yesmaximal, characteristic, complemented
16#2475×C139C211yesmaximal, characteristic, complemented
17#2473×C139C211yesmaximal, characteristic, complemented
18#2473×C139C211yesmaximal, characteristic, complemented
19#2449×C139C211yesmaximal, characteristic, complemented
20#2438×C139C211yesmaximal, characteristic, complemented
21#2437×C139C211yesmaximal, characteristic, complemented
22#2413×C139C211yesmaximal, characteristic, complemented
23#2412×C139C211yesmaximal, characteristic
24#2359×C139C211yesmaximal, characteristic, complemented
25#2358×C139C211yesmaximal, characteristic
26#2344×C139C211yesmaximal, characteristic, complemented
27#2343×C139C211yesmaximal, characteristic, complemented
28#2342×C139C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic, complemented
31C2×#385×C139C211yesmaximal, characteristic, complemented
32C24×C4×C139C2211yescharacteristic
33#552×C139—28no—
34C2×#126×C139C2211yescharacteristic, complemented
35C2×#126×C139C2211yescharacteristic, complemented
36C2×#125×C139C2211yescharacteristic, complemented
37C2×#125×C139C2211yescharacteristic, complemented
38C2×#125×C139C2211yescharacteristic, complemented
39C2×#123×C139C2211yescharacteristic
40C2×#123×C139C2211yescharacteristic
41C2×#123×C139C2211yescharacteristic
42C2×C22⋊Q8×C139C2211yescharacteristic
43C2×C22⋊Q8×C139C2211yescharacteristic
44C2×C22⋊Q8×C139C2211yescharacteristic, complemented
45C2×#120×C139C2211yescharacteristic
46C2×C4×Q8×C139C2211yescharacteristic, complemented
47C2×C4×D4×C139C2211yescharacteristic
48C2×C4×D4×C139C2211yescharacteristic
49C2×#117×C139—28no—
50C2×#117×C139C2211yescharacteristic
51C2×#117×C139C2211yescharacteristic
52C2×#117×C139C2211yescharacteristic
53C2×#117×C139C2211yescharacteristic
54C2×#117×C139C2211yescharacteristic
55C2×#117×C139C2211yescharacteristic
56C2×#117×C139C2211yescharacteristic
57C2×#117×C139C2211yescharacteristic
58C2×#117×C139C2211yescharacteristic
59C2×#117×C139C2211yescharacteristic, complemented
60C22×C4⋊C4×C139C2211yescharacteristic
61C22×C4⋊C4×C139C2211yescharacteristic
62C22×C4⋊C4×C139C2211yescharacteristic
63C22×C4⋊C4×C139C2211yescharacteristic
64C22×C22⋊C4×C139C2211yescharacteristic
65C22×C22⋊C4×C139C2211yescharacteristic
66C22×C22⋊C4×C139C2211yescharacteristic
67C22×C22⋊C4×C139C2211yescharacteristic
68C22×C42×C139C2211yescharacteristic
69C22×C42×C139C2211yescharacteristic
70#400×C139C2211yescharacteristic, complemented
71#400×C139C2211yescharacteristic, complemented
72#400×C139C2211yescharacteristic, complemented
73#400×C139C2211yescharacteristic, complemented
74#399×C139C2211yescharacteristic
75#399×C139C2211yescharacteristic, complemented
76#398×C139C2211yescharacteristic, complemented
77#398×C139C2211yescharacteristic, complemented
78#398×C139C2211yescharacteristic, complemented
79#398×C139C2211yescharacteristic, complemented
80#398×C139C2211yescharacteristic, complemented
81#398×C139C2211yescharacteristic, complemented
82#398×C139C2211yescharacteristic, complemented
83#397×C139C2211yescharacteristic
84#397×C139C2211yescharacteristic
85#397×C139C2211yescharacteristic, complemented
86#396×C139C2211yescharacteristic
87#396×C139C2211yescharacteristic
88#396×C139C2211yescharacteristic, complemented
89#396×C139C2211yescharacteristic, complemented
90#395×C139C2211yescharacteristic, complemented
91#394×C139C2211yescharacteristic
92#394×C139C2211yescharacteristic
93#393×C139C2211yescharacteristic
94#391×C139C2211yescharacteristic, complemented
95#390×C139C2211yescharacteristic
96#389×C139C2211yescharacteristic, complemented
97#389×C139C2211yescharacteristic, complemented
98#389×C139C2211yescharacteristic, complemented
99#389×C139C2211yescharacteristic, complemented
100#389×C139C2211yescharacteristic, complemented
101#389×C139C2211yescharacteristic, complemented
102#388×C139C2211yescharacteristic
103#388×C139C2211yescharacteristic
104#388×C139C2211yescharacteristic
105#388×C139C2211yescharacteristic
106#388×C139C2211yescharacteristic
107#388×C139C2211yescharacteristic
108#388×C139C2211yescharacteristic, complemented
109#388×C139C2211yescharacteristic, complemented
110#388×C139C2211yescharacteristic, complemented
111#388×C139C2211yescharacteristic, complemented
112#388×C139C2211yescharacteristic, complemented
113#388×C139C2211yescharacteristic, complemented
114#387×C139C2211yescharacteristic, complemented
115#387×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
118#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#387×C139C2211yescharacteristic, complemented
121#387×C139C2211yescharacteristic, complemented
122#387×C139C2211yescharacteristic, complemented
123#387×C139C2211yescharacteristic, complemented
124#387×C139C2211yescharacteristic, complemented
125#387×C139C2211yescharacteristic, complemented
126#387×C139C2211yescharacteristic, complemented
127#387×C139C2211yescharacteristic, complemented
128#387×C139C2211yescharacteristic, complemented
129#387×C139C2211yescharacteristic, complemented
130#387×C139C2211yescharacteristic, complemented
131#387×C139C2211yescharacteristic, complemented
132#386×C139C2211yescharacteristic
133#386×C139C2211yescharacteristic
134#386×C139C2211yescharacteristic
135#386×C139C2211yescharacteristic
136#386×C139C2211yescharacteristic
137#386×C139C2211yescharacteristic
138#386×C139C2211yescharacteristic
139#386×C139C2211yescharacteristic
140#386×C139C2211yescharacteristic
141#386×C139C2211yescharacteristic
142#385×C139C2211yescharacteristic
143#385×C139C2211yescharacteristic
144#385×C139C2211yescharacteristic
145#385×C139C2211yescharacteristic
146#385×C139C2211yescharacteristic
147#385×C139C2211yescharacteristic
148#385×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
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#385×C139C2211yescharacteristic, complemented
164#383×C139C2211yescharacteristic, complemented
165#382×C139C2211yescharacteristic, complemented
166#381×C139C2211yescharacteristic
167#381×C139C2211yescharacteristic
168#381×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#380×C139C2211yescharacteristic
171#380×C139C2211yescharacteristic
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#379×C139C2211yescharacteristic
176C4×C4⋊C4×C139C2211yescharacteristic, complemented
177C4×C4⋊C4×C139C2211yescharacteristic, complemented
178C4×C4⋊C4×C139C2211yescharacteristic, complemented
179C4×C4⋊C4×C139C2211yescharacteristic, complemented
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184C4×C22⋊C4×C139C2211yescharacteristic
185C4×C22⋊C4×C139C2211yescharacteristic, complemented
186#376×C139C2211yescharacteristic, complemented
187C2×#95×C139C2211yescharacteristic
188C2×#95×C139C2211yescharacteristic
189C25×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C22×D4×C139C2311yescharacteristic
194C23×C4×C139—24no—
195C23×C4×C139—24no—
196C23×C4×C139—24no—
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
208C23×C4×C139C2311yescharacteristic
209C23×C4×C139C2311yescharacteristic
210C23×C4×C139C2311yescharacteristic
211C23×C4×C139C2311yescharacteristic
212#126×C139—24no—
213#126×C139—24no—
214#125×C139—24no—
215#125×C139—24no—
216#125×C139—24no—
217#123×C139—24no—
218#123×C139—24no—
219#123×C139—24no—
220C22⋊Q8×C139—24no—
221C22⋊Q8×C139—24no—
222C22⋊Q8×C139—24no—
223#120×C139—24no—
224C4×Q8×C139—24no—
225C4×D4×C139—24no—
226C4×D4×C139—24no—
227#117×C139—24no—
228#117×C139—24no—
229#117×C139—24no—
230#117×C139—24no—
231#117×C139—24no—
232#117×C139—24no—
233#117×C139—24no—
234#117×C139—24no—
235#117×C139—24no—
236#117×C139D418yescomplemented
237C2×C4⋊C4×C139—24no—
238C2×C4⋊C4×C139—24no—
239C2×C4⋊C4×C139—24no—
240C2×C4⋊C4×C139—24no—
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×C4⋊C4×C139C2311yescharacteristic
266C2×C4⋊C4×C139C2311yescharacteristic
267C2×C4⋊C4×C139C2311yescharacteristic
268C2×C4⋊C4×C139C2311yescharacteristic
269C2×C4⋊C4×C139C2311yescharacteristic
270C2×C4⋊C4×C139C2311yescharacteristic
271C2×C4⋊C4×C139C2311yescharacteristic
272C2×C4⋊C4×C139C2311yescharacteristic
273C2×C4⋊C4×C139C2311yescharacteristic
274C2×C4⋊C4×C139C2311yescharacteristic
275C2×C4⋊C4×C139C2311yescharacteristic
276C2×C4⋊C4×C139C2311yescharacteristic
277C2×C4⋊C4×C139C2311yescharacteristic
278C2×C4⋊C4×C139C2311yescharacteristic
279C2×C4⋊C4×C139C2311yescharacteristic
280C2×C4⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139—24no—
282C2×C22⋊C4×C139—24no—
283C2×C22⋊C4×C139—24no—
284C2×C22⋊C4×C139—24no—
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×C22⋊C4×C139C2311yescharacteristic
319C2×C22⋊C4×C139C2311yescharacteristic
320C2×C22⋊C4×C139C2311yescharacteristic
321C2×C42×C139—24no—
322C2×C42×C139—24no—
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
335C2×C42×C139C2311yescharacteristic
336C2×C42×C139C2311yescharacteristic
337C2×C42×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
369#95×C139C2311yescharacteristic
370#95×C139C2311yescharacteristic
371#95×C139C2311yescharacteristic
372#95×C139C2311yescharacteristic
373#95×C139C2311yescharacteristic
374#95×C139C2311yescharacteristic
375#95×C139C2311yescharacteristic
376#95×C139C2311yescharacteristic
377#95×C139C2311yescharacteristic
378#95×C139C2311yescharacteristic
379#95×C139C2311yescharacteristic
380#95×C139C2311yescharacteristic
381#95×C139C2311yescharacteristic
382C24×C139—22no—
383C24×C139—22no—
384C24×C139—22no—
385C24×C139—22no—
386C24×C139—41no—
387C24×C139—41no—
388C24×C139#4114yes—
389C24×C139C2411yescharacteristic
390C24×C139C2411yescharacteristic
391C24×C139C2411yescharacteristic
392C24×C139C2411yescharacteristic
393C2×Q8×C139—22no—
394C2×Q8×C139—22no—
395C2×Q8×C139—41no—
396C2×D4×C139—22no—
397C2×D4×C139—22no—
398C2×D4×C139—22no—
399C2×D4×C139—22no—
400C2×D4×C139—22no—
401C2×D4×C139—22no—
402C2×D4×C139—22no—
403C2×D4×C139—41no—
404C2×D4×C139—41no—
405C22×C4×C139—232no—
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—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—22no—
432C22×C4×C139—22no—
433C22×C4×C139—22no—
434C22×C4×C139—22no—
435C22×C4×C139—22no—
436C22×C4×C139—22no—
437C22×C4×C139—22no—
438C22×C4×C139—22no—
439C22×C4×C139—22no—
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—41no—
448C22×C4×C139—41no—
449C22×C4×C139C2×D414yes—
450C22×C4×C139#4114yes—
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
473C22×C4×C139C2411yescharacteristic
474C22×C4×C139C2411yescharacteristic
475C22×C4×C139C2411yescharacteristic
476C22×C4×C139C2411yescharacteristic
477C22×C4×C139C2411yescharacteristic
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—22no—
490C4⋊C4×C139—22no—
491C4⋊C4×C139—22no—
492C4⋊C4×C139—22no—
493C4⋊C4×C139—22no—
494C4⋊C4×C139—22no—
495C4⋊C4×C139—22no—
496C4⋊C4×C139—22no—
497C4⋊C4×C139—22no—
498C4⋊C4×C139—22no—
499C4⋊C4×C139—22no—
500C4⋊C4×C139—22no—
501C4⋊C4×C139—22no—
502C4⋊C4×C139—22no—
503C4⋊C4×C139—22no—
504C4⋊C4×C139—22no—
505C4⋊C4×C139—22no—
506C4⋊C4×C139—22no—
507C4⋊C4×C139—22no—
508C4⋊C4×C139—41no—
509C4⋊C4×C139—41no—
510C4⋊C4×C139—41no—
511C4⋊C4×C139—41no—
512C4⋊C4×C139—41no—
513C4⋊C4×C139—41no—
514C4⋊C4×C139—41no—
515C4⋊C4×C139—41no—
516C4⋊C4×C139C2×D414yes—
517C4⋊C4×C139C2×D414yes—
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—22no—
533C22⋊C4×C139—22no—
534C22⋊C4×C139—22no—
535C22⋊C4×C139—22no—
536C22⋊C4×C139—22no—
537C22⋊C4×C139—22no—
538C22⋊C4×C139—22no—
539C22⋊C4×C139—22no—
540C22⋊C4×C139—22no—
541C22⋊C4×C139—22no—
542C22⋊C4×C139—22no—
543C22⋊C4×C139—22no—
544C22⋊C4×C139—22no—
545C22⋊C4×C139—22no—
546C22⋊C4×C139—41no—
547C22⋊C4×C139—41no—
548C22⋊C4×C139—41no—
549C22⋊C4×C139—41no—
550C22⋊C4×C139—41no—
551C22⋊C4×C139C2×D414yes—
552C22⋊C4×C139C2×D414yes—
553C22⋊C4×C139#4114yes—
554C42×C139—22no—
555C42×C139—22no—
556C42×C139—22no—
557C42×C139—22no—
558C42×C139—22no—
559C42×C139—22no—
560C42×C139—22no—
561C42×C139—22no—
562C42×C139—22no—
563C42×C139—22no—
564C42×C139—41no—
565C42×C139—41no—
566C42×C139—41no—
567C42×C139C2×D414yes—
568C42×C139C2×D414yes—
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—28no—
578C23×C139—28no—
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—44no—
593C23×C139—44no—
594C23×C139—44no—
595C23×C139—44no—
596C23×C139—44no—
597C23×C139C22×D412yes—
598C23×C139C2×#4112yes—
599C23×C139C2×#4112yes—
600C23×C139C2×#4112yes—
601C23×C139C2×#4112yes—
602C23×C139C2×#4112yes—
603C23×C1392−1+412yes—
604C23×C139C2511yescharacteristic
605Q8×C139—44no—
606D4×C139—44no—
607D4×C139—44no—
608D4×C139—82no—
609C2×C4×C139—28no—
610C2×C4×C139—28no—
611C2×C4×C139—28no—
612C2×C4×C139—28no—
613C2×C4×C139—28no—
614C2×C4×C139—28no—
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—21no—
683C2×C4×C139—21no—
684C2×C4×C139—21no—
685C2×C4×C139—21no—
686C2×C4×C139—44no—
687C2×C4×C139—44no—
688C2×C4×C139—44no—
689C2×C4×C139—44no—
690C2×C4×C139—44no—
691C2×C4×C139—44no—
692C2×C4×C139—44no—
693C2×C4×C139—44no—
694C2×C4×C139—82no—
695C2×C4×C139C22×D412yes—
696C2×C4×C139C22×D412yes—
697C2×C4×C139C22×D412yes—
698C2×C4×C139C22×D412yes—
699C2×C4×C139C22×D412yes—
700C2×C4×C139C22×D412yes—
701C2×C4×C139C2×#4112yes—
702C2×C4×C139C2×#4112yes—
703C2×C4×C139C2×#4112yes—
704C2×C4×C139C2×#4112yes—
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—22no—
715C22×C139—22no—
716C22×C139—22no—
717C22×C139—22no—
718C22×C139—22no—
719C22×C139—22no—
720C22×C139—416no—
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#52514yes—
733C22×C139#55214yescomplemented
734C22×C139C23×D411yescharacteristic
735C22×C139C22×#4111yescharacteristic
736C22×C139C22×#4111yescharacteristic
737C22×C139C22×#4111yescharacteristic
738C22×C139C2×2−1+411yescharacteristic
739C22×C139#58511yescharacteristic
740C22×C139#58511yescharacteristic
741C4×C139—22no—
742C4×C139—22no—
743C4×C139—22no—
744C4×C139—22no—
745C4×C139—22no—
746C4×C139—22no—
747C4×C139—22no—
748C4×C139—22no—
749C4×C139—22no—
750C4×C139—22no—
751C4×C139—41no—
752C4×C139—41no—
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—
768C2×C139—24no—
769C2×C139—24no—
770C2×C139—42no—
771C2×C139—81no—
772C2×C139C2×#52511yescharacteristic
773C2×C139D4×#4111yescharacteristic
774C2×C139C2×#55211yescharacteristic
775C2×C139#347511yescharacteristic
776C2×C139#348911yescharacteristic
777C2×C139#349111yescharacteristic
778C2×C139#349511yescharacteristic
779#36223C13911yesmaximal, characteristic, direct product factor, Sylow
780C139#3622311yescharacteristic, direct product factor, Sylow
781C2×#552C2×C13911yescharacteristic, complemented
782C22×#117C2×C13911yescharacteristic, complemented
783#2852C2×C13911yescharacteristic, complemented
784#2851C2×C13911yescharacteristic, complemented
785#2849C2×C13911yescharacteristic
786#2611C2×C13911yescharacteristic, complemented
787#2609C2×C13911yescharacteristic, complemented
788#2601C2×C13911yescharacteristic, complemented
789#2599C2×C13911yescharacteristic, complemented
790#2498C2×C13911yescharacteristic, complemented
791#2484C2×C13911yescharacteristic, complemented
792#2481C2×C13911yescharacteristic, complemented
793#2479C2×C13911yescharacteristic, complemented
794#2477C2×C13911yescharacteristic, complemented
795#2475C2×C13911yescharacteristic, complemented
796#2475C2×C13911yescharacteristic, complemented
797#2473C2×C13911yescharacteristic, complemented
798#2473C2×C13911yescharacteristic, complemented
799#2449C2×C13911yescharacteristic, complemented
800#2438C2×C13911yescharacteristic, complemented
801#2437C2×C13911yescharacteristic, complemented
802#2413C2×C13911yescharacteristic, complemented
803#2412C2×C13911yescharacteristic
804#2359C2×C13911yescharacteristic, complemented
805#2358C2×C13911yescharacteristic
806#2344C2×C13911yescharacteristic, complemented
807#2343C2×C13911yescharacteristic, complemented
808#2342C2×C13911yescharacteristic, complemented
809C4×C22⋊Q8C2×C13911yescharacteristic, complemented
810#2290C2×C13911yescharacteristic, complemented
811C2×#385C2×C13911yescharacteristic, complemented
812C24×C4C22×C13911yescharacteristic
813#552—28no—
814C2×#126C22×C13911yescharacteristic, complemented
815C2×#126C22×C13911yescharacteristic, complemented
816C2×#125C22×C13911yescharacteristic, complemented
817C2×#125C22×C13911yescharacteristic, complemented
818C2×#125C22×C13911yescharacteristic, complemented
819C2×#123C22×C13911yescharacteristic
820C2×#123C22×C13911yescharacteristic
821C2×#123C22×C13911yescharacteristic
822C2×C22⋊Q8C22×C13911yescharacteristic
823C2×C22⋊Q8C22×C13911yescharacteristic
824C2×C22⋊Q8C22×C13911yescharacteristic, complemented
825C2×#120C22×C13911yescharacteristic
826C2×C4×Q8C22×C13911yescharacteristic, complemented
827C2×C4×D4C22×C13911yescharacteristic
828C2×C4×D4C22×C13911yescharacteristic
829C2×#117—28no—
830C2×#117C22×C13911yescharacteristic
831C2×#117C22×C13911yescharacteristic
832C2×#117C22×C13911yescharacteristic
833C2×#117C22×C13911yescharacteristic
834C2×#117C22×C13911yescharacteristic
835C2×#117C22×C13911yescharacteristic
836C2×#117C22×C13911yescharacteristic
837C2×#117C22×C13911yescharacteristic
838C2×#117C22×C13911yescharacteristic
839C2×#117C22×C13911yescharacteristic, complemented
840C22×C4⋊C4C22×C13911yescharacteristic
841C22×C4⋊C4C22×C13911yescharacteristic
842C22×C4⋊C4C22×C13911yescharacteristic
843C22×C4⋊C4C22×C13911yescharacteristic
844C22×C22⋊C4C22×C13911yescharacteristic
845C22×C22⋊C4C22×C13911yescharacteristic
846C22×C22⋊C4C22×C13911yescharacteristic
847C22×C22⋊C4C22×C13911yescharacteristic
848C22×C42C22×C13911yescharacteristic
849C22×C42C22×C13911yescharacteristic
850#400C22×C13911yescharacteristic, complemented
851#400C22×C13911yescharacteristic, complemented
852#400C22×C13911yescharacteristic, complemented
853#400C22×C13911yescharacteristic, complemented
854#399C22×C13911yescharacteristic
855#399C22×C13911yescharacteristic, complemented
856#398C22×C13911yescharacteristic, complemented
857#398C22×C13911yescharacteristic, complemented
858#398C22×C13911yescharacteristic, complemented
859#398C22×C13911yescharacteristic, complemented
860#398C22×C13911yescharacteristic, complemented
861#398C22×C13911yescharacteristic, complemented
862#398C22×C13911yescharacteristic, complemented
863#397C22×C13911yescharacteristic
864#397C22×C13911yescharacteristic
865#397C22×C13911yescharacteristic, complemented
866#396C22×C13911yescharacteristic
867#396C22×C13911yescharacteristic
868#396C22×C13911yescharacteristic, complemented
869#396C22×C13911yescharacteristic, complemented
870#395C22×C13911yescharacteristic, complemented
871#394C22×C13911yescharacteristic
872#394C22×C13911yescharacteristic
873#393C22×C13911yescharacteristic
874#391C22×C13911yescharacteristic, complemented
875#390C22×C13911yescharacteristic
876#389C22×C13911yescharacteristic, complemented
877#389C22×C13911yescharacteristic, complemented
878#389C22×C13911yescharacteristic, complemented
879#389C22×C13911yescharacteristic, complemented
880#389C22×C13911yescharacteristic, complemented
881#389C22×C13911yescharacteristic, complemented
882#388C22×C13911yescharacteristic
883#388C22×C13911yescharacteristic
884#388C22×C13911yescharacteristic
885#388C22×C13911yescharacteristic
886#388C22×C13911yescharacteristic
887#388C22×C13911yescharacteristic
888#388C22×C13911yescharacteristic, complemented
889#388C22×C13911yescharacteristic, complemented
890#388C22×C13911yescharacteristic, complemented
891#388C22×C13911yescharacteristic, complemented
892#388C22×C13911yescharacteristic, complemented
893#388C22×C13911yescharacteristic, complemented
894#387C22×C13911yescharacteristic, complemented
895#387C22×C13911yescharacteristic, complemented
896#387C22×C13911yescharacteristic, complemented
897#387C22×C13911yescharacteristic, complemented
898#387C22×C13911yescharacteristic, complemented
899#387C22×C13911yescharacteristic, complemented
900#387C22×C13911yescharacteristic, complemented
901#387C22×C13911yescharacteristic, complemented
902#387C22×C13911yescharacteristic, complemented
903#387C22×C13911yescharacteristic, complemented
904#387C22×C13911yescharacteristic, complemented
905#387C22×C13911yescharacteristic, complemented
906#387C22×C13911yescharacteristic, complemented
907#387C22×C13911yescharacteristic, complemented
908#387C22×C13911yescharacteristic, complemented
909#387C22×C13911yescharacteristic, complemented
910#387C22×C13911yescharacteristic, complemented
911#387C22×C13911yescharacteristic, complemented
912#386C22×C13911yescharacteristic
913#386C22×C13911yescharacteristic
914#386C22×C13911yescharacteristic
915#386C22×C13911yescharacteristic
916#386C22×C13911yescharacteristic
917#386C22×C13911yescharacteristic
918#386C22×C13911yescharacteristic
919#386C22×C13911yescharacteristic
920#386C22×C13911yescharacteristic
921#386C22×C13911yescharacteristic
922#385C22×C13911yescharacteristic
923#385C22×C13911yescharacteristic
924#385C22×C13911yescharacteristic
925#385C22×C13911yescharacteristic
926#385C22×C13911yescharacteristic
927#385C22×C13911yescharacteristic
928#385C22×C13911yescharacteristic
929#385C22×C13911yescharacteristic
930#385C22×C13911yescharacteristic
931#385C22×C13911yescharacteristic
932#385C22×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
942#385C22×C13911yescharacteristic
943#385C22×C13911yescharacteristic, complemented
944#383C22×C13911yescharacteristic, complemented
945#382C22×C13911yescharacteristic, complemented
946#381C22×C13911yescharacteristic
947#381C22×C13911yescharacteristic
948#381C22×C13911yescharacteristic
949#381C22×C13911yescharacteristic
950#380C22×C13911yescharacteristic
951#380C22×C13911yescharacteristic
952#380C22×C13911yescharacteristic
953#380C22×C13911yescharacteristic
954#380C22×C13911yescharacteristic
955#379C22×C13911yescharacteristic
956C4×C4⋊C4C22×C13911yescharacteristic, complemented
957C4×C4⋊C4C22×C13911yescharacteristic, complemented
958C4×C4⋊C4C22×C13911yescharacteristic, complemented
959C4×C4⋊C4C22×C13911yescharacteristic, complemented
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
966#376C22×C13911yescharacteristic, complemented
967C2×#95C22×C13911yescharacteristic
968C2×#95C22×C13911yescharacteristic
969C25C23×C13911yescharacteristic
970C22×Q8C23×C13911yescharacteristic
971C22×D4C23×C13911yescharacteristic
972C22×D4C23×C13911yescharacteristic
973C22×D4C23×C13911yescharacteristic
974C23×C4—24no—
975C23×C4—24no—
976C23×C4—24no—
977C23×C4C23×C13911yescharacteristic
978C23×C4C23×C13911yescharacteristic
979C23×C4C23×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#126—24no—
993#126—24no—
994#125—24no—
995#125—24no—
996#125—24no—
997#123—24no—
998#123—24no—
999#123—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003#120—24no—
1004C4×Q8—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007#117—24no—
1008#117—24no—
1009#117—24no—
1010#117—24no—
1011#117—24no—
1012#117—24no—
1013#117—24no—
1014#117—24no—
1015#117—24no—
1016#117D4×C13918yescomplemented
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—24no—
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×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×C22⋊C4—24no—
1062C2×C22⋊C4—24no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—24no—
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×C22⋊C4C23×C13911yescharacteristic
1100C2×C22⋊C4C23×C13911yescharacteristic
1101C2×C42—24no—
1102C2×C42—24no—
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
1113C2×C42C23×C13911yescharacteristic
1114C2×C42C23×C13911yescharacteristic
1115C2×C42C23×C13911yescharacteristic
1116C2×C42C23×C13911yescharacteristic
1117C2×C42C23×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
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
1162C24—22no—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24#41×C13914yes—
1169C24C24×C13911yescharacteristic
1170C24C24×C13911yescharacteristic
1171C24C24×C13911yescharacteristic
1172C24C24×C13911yescharacteristic
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C22×C4—232no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
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—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4C2×D4×C13914yes—
1230C22×C4#41×C13914yes—
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
1251C22×C4C24×C13911yescharacteristic
1252C22×C4C24×C13911yescharacteristic
1253C22×C4C24×C13911yescharacteristic
1254C22×C4C24×C13911yescharacteristic
1255C22×C4C24×C13911yescharacteristic
1256C22×C4C24×C13911yescharacteristic
1257C22×C4C24×C13911yescharacteristic
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—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
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—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4C2×D4×C13914yes—
1297C4⋊C4C2×D4×C13914yes—
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—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—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4C2×D4×C13914yes—
1332C22⋊C4C2×D4×C13914yes—
1333C22⋊C4#41×C13914yes—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42C2×D4×C13914yes—
1348C42C2×D4×C13914yes—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—28no—
1358C23—28no—
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—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23C22×D4×C13912yes—
1378C23C2×#41×C13912yes—
1379C23C2×#41×C13912yes—
1380C23C2×#41×C13912yes—
1381C23C2×#41×C13912yes—
1382C23C2×#41×C13912yes—
1383C232−1+4×C13912yes—
1384C23C25×C13911yescharacteristic
1385Q8—44no—
1386D4—44no—
1387D4—44no—
1388D4—82no—
1389C2×C4—28no—
1390C2×C4—28no—
1391C2×C4—28no—
1392C2×C4—28no—
1393C2×C4—28no—
1394C2×C4—28no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—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—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—82no—
1475C2×C4C22×D4×C13912yes—
1476C2×C4C22×D4×C13912yes—
1477C2×C4C22×D4×C13912yes—
1478C2×C4C22×D4×C13912yes—
1479C2×C4C22×D4×C13912yes—
1480C2×C4C22×D4×C13912yes—
1481C2×C4C2×#41×C13912yes—
1482C2×C4C2×#41×C13912yes—
1483C2×C4C2×#41×C13912yes—
1484C2×C4C2×#41×C13912yes—
1485C22—22no—
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—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22#525×C13914yes—
1513C22#552×C13914yescomplemented
1514C22C23×D4×C13911yescharacteristic
1515C22C22×#41×C13911yescharacteristic
1516C22C22×#41×C13911yescharacteristic
1517C22C22×#41×C13911yescharacteristic
1518C22C2×2−1+4×C13911yescharacteristic
1519C22#585×C13911yescharacteristic
1520C22#585×C13911yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—81no—
1552C2C2×#525×C13911yescharacteristic
1553C2D4×#41×C13911yescharacteristic
1554C2C2×#552×C13911yescharacteristic
1555C2#3475×C13911yescharacteristic
1556C2#3489×C13911yescharacteristic
1557C2#3491×C13911yescharacteristic
1558C2#3495×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC2×#120×C139C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#552×C139C2semidirect
2. C22×#117×C139C2semidirect
3. #2852×C139C2semidirect
4. #2851×C139C2semidirect
6. #2611×C139C2semidirect
7. #2609×C139C2semidirect
8. #2601×C139C2semidirect
9. #2599×C139C2semidirect
10. #2498×C139C2semidirect
11. #2484×C139C2semidirect
12. #2481×C139C2semidirect
13. #2479×C139C2semidirect
14. #2477×C139C2semidirect
15. #2475×C139C2semidirect
16. #2475×C139C2semidirect
17. #2473×C139C2semidirect
18. #2473×C139C2semidirect
19. #2449×C139C2semidirect
20. #2438×C139C2semidirect
21. #2437×C139C2semidirect
22. #2413×C139C2semidirect
24. #2359×C139C2semidirect
26. #2344×C139C2semidirect
27. #2343×C139C2semidirect
28. #2342×C139C2semidirect
29. C4×C22⋊Q8×C139C2semidirect
30. #2290×C139C2semidirect
31. C2×#385×C139C2semidirect
34. C2×#126×C139C22semidirect
35. C2×#126×C139C22semidirect
36. C2×#125×C139C22semidirect
37. C2×#125×C139C22semidirect
38. C2×#125×C139C22semidirect
44. C2×C22⋊Q8×C139C22semidirect
46. C2×C4×Q8×C139C22semidirect
59. C2×#117×C139C22semidirect
70. #400×C139C22semidirect
71. #400×C139C22semidirect
72. #400×C139C22semidirect
73. #400×C139C22semidirect
75. #399×C139C22semidirect
76. #398×C139C22semidirect
77. #398×C139C22semidirect
78. #398×C139C22semidirect
79. #398×C139C22semidirect
80. #398×C139C22semidirect
81. #398×C139C22semidirect
82. #398×C139C22semidirect
85. #397×C139C22semidirect
88. #396×C139C22semidirect
89. #396×C139C22semidirect
90. #395×C139C22semidirect
94. #391×C139C22semidirect
96. #389×C139C22semidirect
97. #389×C139C22semidirect
98. #389×C139C22semidirect
99. #389×C139C22semidirect
100. #389×C139C22semidirect
101. #389×C139C22semidirect
108. #388×C139C22semidirect
109. #388×C139C22semidirect
110. #388×C139C22semidirect
111. #388×C139C22semidirect
112. #388×C139C22semidirect
113. #388×C139C22semidirect
114. #387×C139C22semidirect
115. #387×C139C22semidirect
116. #387×C139C22semidirect
117. #387×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
120. #387×C139C22semidirect
121. #387×C139C22semidirect
122. #387×C139C22semidirect
123. #387×C139C22semidirect
124. #387×C139C22semidirect
125. #387×C139C22semidirect
126. #387×C139C22semidirect
127. #387×C139C22semidirect
128. #387×C139C22semidirect
129. #387×C139C22semidirect
130. #387×C139C22semidirect
131. #387×C139C22semidirect
163. #385×C139C22semidirect
164. #383×C139C22semidirect
165. #382×C139C22semidirect
176. C4×C4⋊C4×C139C22semidirect
177. C4×C4⋊C4×C139C22semidirect
178. C4×C4⋊C4×C139C22semidirect
179. C4×C4⋊C4×C139C22semidirect
185. C4×C22⋊C4×C139C22semidirect
186. #376×C139C22semidirect
236. #117×C139D4semidirect
733. C22×C139#552semidirect
779. #36223C139direct (N × H)
780. C139#36223direct (N × H)
781. C2×#552C2×C139semidirect
782. C22×#117C2×C139semidirect
783. #2852C2×C139semidirect
784. #2851C2×C139semidirect
786. #2611C2×C139semidirect
787. #2609C2×C139semidirect
788. #2601C2×C139semidirect
789. #2599C2×C139semidirect
790. #2498C2×C139semidirect
791. #2484C2×C139semidirect
792. #2481C2×C139semidirect
793. #2479C2×C139semidirect
794. #2477C2×C139semidirect
795. #2475C2×C139semidirect
796. #2475C2×C139semidirect
797. #2473C2×C139semidirect
798. #2473C2×C139semidirect
799. #2449C2×C139semidirect
800. #2438C2×C139semidirect
801. #2437C2×C139semidirect
802. #2413C2×C139semidirect
804. #2359C2×C139semidirect
806. #2344C2×C139semidirect
807. #2343C2×C139semidirect
808. #2342C2×C139semidirect
809. C4×C22⋊Q8C2×C139semidirect
810. #2290C2×C139semidirect
811. C2×#385C2×C139semidirect
814. C2×#126C22×C139semidirect
815. C2×#126C22×C139semidirect
816. C2×#125C22×C139semidirect
817. C2×#125C22×C139semidirect
818. C2×#125C22×C139semidirect
824. C2×C22⋊Q8C22×C139semidirect
826. C2×C4×Q8C22×C139semidirect
839. C2×#117C22×C139semidirect
850. #400C22×C139semidirect
851. #400C22×C139semidirect
852. #400C22×C139semidirect
853. #400C22×C139semidirect
855. #399C22×C139semidirect
856. #398C22×C139semidirect
857. #398C22×C139semidirect
858. #398C22×C139semidirect
859. #398C22×C139semidirect
860. #398C22×C139semidirect
861. #398C22×C139semidirect
862. #398C22×C139semidirect
865. #397C22×C139semidirect
868. #396C22×C139semidirect
869. #396C22×C139semidirect
870. #395C22×C139semidirect
874. #391C22×C139semidirect
876. #389C22×C139semidirect
877. #389C22×C139semidirect
878. #389C22×C139semidirect
879. #389C22×C139semidirect
880. #389C22×C139semidirect
881. #389C22×C139semidirect
888. #388C22×C139semidirect
889. #388C22×C139semidirect
890. #388C22×C139semidirect
891. #388C22×C139semidirect
892. #388C22×C139semidirect
893. #388C22×C139semidirect
894. #387C22×C139semidirect
895. #387C22×C139semidirect
896. #387C22×C139semidirect
897. #387C22×C139semidirect
898. #387C22×C139semidirect
899. #387C22×C139semidirect
900. #387C22×C139semidirect
901. #387C22×C139semidirect
902. #387C22×C139semidirect
903. #387C22×C139semidirect
904. #387C22×C139semidirect
905. #387C22×C139semidirect
906. #387C22×C139semidirect
907. #387C22×C139semidirect
908. #387C22×C139semidirect
909. #387C22×C139semidirect
910. #387C22×C139semidirect
911. #387C22×C139semidirect
943. #385C22×C139semidirect
944. #383C22×C139semidirect
945. #382C22×C139semidirect
956. C4×C4⋊C4C22×C139semidirect
957. C4×C4⋊C4C22×C139semidirect
958. C4×C4⋊C4C22×C139semidirect
959. C4×C4⋊C4C22×C139semidirect
965. C4×C22⋊C4C22×C139semidirect
966. #376C22×C139semidirect
1016. #117D4×C139semidirect
1513. C22#552×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#552×C1392
C22×#117×C1392
#2852×C1392
#2851×C1392
#2849×C1392
#2611×C1392
#2609×C1392
#2601×C1392
#2599×C1392
#2498×C1392
#2484×C1392
#2481×C1392
#2479×C1392
#2477×C1392
#2475×C1392
#2473×C1392
#2449×C1392
#2438×C1392
#2437×C1392
#2413×C1392
#2412×C1392
#2359×C1392
#2358×C1392
#2344×C1392
#2343×C1392
#2342×C1392
C4×C22⋊Q8×C1392
#2290×C1392
C2×#385×C1392
#36223139