Finite Group Databasebeta

← C139×#36755 #48031351

Subgroups — C139×#36755 #48031351

Order 35584.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2855×C139C211yesmaximal, characteristic, complemented
2#2851×C139C211yesmaximal, characteristic, complemented
3#2805×C139C211yesmaximal, characteristic, complemented
4#2804×C139C211yesmaximal, characteristic
5#2790×C139C211yesmaximal, characteristic, complemented
6#2788×C139C211yesmaximal, characteristic, complemented
7#2788×C139C211yesmaximal, characteristic, complemented
8#2784×C139C211yesmaximal, characteristic
9#2780×C139C211yesmaximal, characteristic
10#2774×C139C211yesmaximal, characteristic, complemented
11#2763×C139C211yesmaximal, characteristic, complemented
12#2763×C139C211yesmaximal, characteristic, complemented
13#2755×C139C211yesmaximal, characteristic, complemented
14#2742×C139C211yesmaximal, characteristic, complemented
15#2729×C139C211yesmaximal, characteristic, complemented
16#2720×C139C211yesmaximal, characteristic, complemented
17#2713×C139C211yesmaximal, characteristic, complemented
18#2692×C139C211yesmaximal, characteristic
19#2665×C139C211yesmaximal, characteristic, complemented
20#2665×C139C211yesmaximal, characteristic, complemented
21#2612×C139C211yesmaximal, characteristic, complemented
22#2607×C139C211yesmaximal, characteristic, complemented
23#2605×C139C211yesmaximal, characteristic, complemented
24#2605×C139C211yesmaximal, characteristic, complemented
25#2570×C139C211yesmaximal, characteristic, complemented
26#2569×C139C211yesmaximal, characteristic, complemented
27#2439×C139C211yesmaximal, characteristic, complemented
28#2438×C139C211yesmaximal, characteristic, complemented
29#2319×C139C211yesmaximal, characteristic
30#2318×C139C211yesmaximal, characteristic
31#2290×C139C211yesmaximal, characteristic
32C2×C4⋊Q8×C139C2211yescharacteristic
33C2×#125×C139C2211yescharacteristic
34C2×C22⋊Q8×C139C2211yescharacteristic
35C2×C22⋊Q8×C139C2211yescharacteristic
36C2×C4×D4×C139C2211yescharacteristic
37C2×#117×C139C2211yescharacteristic
38C22×C42×C139C2211yescharacteristic
39#400×C139C2211yescharacteristic
40#400×C139C2211yescharacteristic
41#400×C139C2211yescharacteristic
42#400×C139C2211yescharacteristic
43#400×C139C2211yescharacteristic
44#400×C139C2211yescharacteristic
45#400×C139C2211yescharacteristic
46#400×C139C2211yescharacteristic
47#400×C139C2211yescharacteristic
48#400×C139C2211yescharacteristic
49#400×C139C2211yescharacteristic
50#400×C139C2211yescharacteristic
51#400×C139C2211yescharacteristic
52#400×C139C2211yescharacteristic
53#399×C139C2211yescharacteristic
54#399×C139C2211yescharacteristic
55#398×C139C2211yescharacteristic
56#398×C139C2211yescharacteristic
57#398×C139C2211yescharacteristic
58#398×C139C2211yescharacteristic
59#398×C139C2211yescharacteristic
60#398×C139C2211yescharacteristic
61#398×C139C2211yescharacteristic
62#398×C139C2211yescharacteristic
63#396×C139C2211yescharacteristic
64#396×C139C2211yescharacteristic
65#396×C139C2211yescharacteristic
66#396×C139C2211yescharacteristic
67#396×C139C2211yescharacteristic
68#396×C139C2211yescharacteristic
69#395×C139C2211yescharacteristic
70#395×C139C2211yescharacteristic
71#395×C139C2211yescharacteristic
72#395×C139C2211yescharacteristic
73#395×C139C2211yescharacteristic
74#395×C139C2211yescharacteristic
75#395×C139C2211yescharacteristic
76#395×C139C2211yescharacteristic
77#395×C139C2211yescharacteristic
78#395×C139C2211yescharacteristic
79#393×C139C2211yescharacteristic
80#393×C139C2211yescharacteristic
81#393×C139C2211yescharacteristic
82#393×C139C2211yescharacteristic
83#393×C139C2211yescharacteristic
84#393×C139C2211yescharacteristic
85#393×C139C2211yescharacteristic
86#393×C139C2211yescharacteristic
87#391×C139C2211yescharacteristic
88#391×C139C2211yescharacteristic
89#391×C139C2211yescharacteristic
90#391×C139C2211yescharacteristic
91#391×C139C2211yescharacteristic
92#391×C139C2211yescharacteristic
93#391×C139C2211yescharacteristic
94#391×C139C2211yescharacteristic
95#391×C139C2211yescharacteristic
96#391×C139C2211yescharacteristic
97#391×C139C2211yescharacteristic
98#391×C139C2211yescharacteristic
99#391×C139C2211yescharacteristic
100#390×C139C2211yescharacteristic
101#390×C139C2211yescharacteristic
102#389×C139C2211yescharacteristic
103#389×C139C2211yescharacteristic
104#389×C139C2211yescharacteristic
105#389×C139C2211yescharacteristic
106#389×C139C2211yescharacteristic
107#389×C139C2211yescharacteristic
108#389×C139C2211yescharacteristic
109#389×C139C2211yescharacteristic
110#389×C139C2211yescharacteristic
111#389×C139C2211yescharacteristic
112#389×C139C2211yescharacteristic
113#388×C139C2211yescharacteristic
114#388×C139C2211yescharacteristic
115#388×C139C2211yescharacteristic
116#388×C139C2211yescharacteristic
117#388×C139C2211yescharacteristic
118#388×C139C2211yescharacteristic
119#388×C139C2211yescharacteristic
120#388×C139C2211yescharacteristic
121#387×C139C2211yescharacteristic
122#387×C139C2211yescharacteristic
123#387×C139C2211yescharacteristic
124#387×C139C2211yescharacteristic
125#387×C139C2211yescharacteristic
126#387×C139C2211yescharacteristic
127#387×C139C2211yescharacteristic
128#387×C139C2211yescharacteristic
129#387×C139C2211yescharacteristic
130#387×C139C2211yescharacteristic
131#387×C139C2211yescharacteristic
132#387×C139C2211yescharacteristic
133#387×C139C2211yescharacteristic
134#387×C139C2211yescharacteristic
135#387×C139C2211yescharacteristic
136#387×C139C2211yescharacteristic
137#387×C139C2211yescharacteristic
138#387×C139C2211yescharacteristic
139#387×C139C2211yescharacteristic
140#387×C139C2211yescharacteristic
141#387×C139C2211yescharacteristic
142#387×C139C2211yescharacteristic
143#387×C139C2211yescharacteristic
144#387×C139C2211yescharacteristic
145#386×C139C2211yescharacteristic
146#386×C139C2211yescharacteristic
147#386×C139C2211yescharacteristic
148#386×C139C2211yescharacteristic
149#385×C139C2211yescharacteristic
150#385×C139C2211yescharacteristic
151#385×C139C2211yescharacteristic
152#385×C139C2211yescharacteristic
153#385×C139C2211yescharacteristic
154#385×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#384×C139C2211yescharacteristic
164#383×C139C2211yescharacteristic
165#382×C139C2211yescharacteristic
166#382×C139C2211yescharacteristic
167#382×C139C2211yescharacteristic
168#382×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#381×C139C2211yescharacteristic
171#381×C139C2211yescharacteristic
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic
177#380×C139C2211yescharacteristic
178#380×C139C2211yescharacteristic
179C4×C4⋊C4×C139C2211yescharacteristic
180C4×C4⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184#376×C139C2211yescharacteristic
185#376×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C22×Q8×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×Q8×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C4⋊Q8×C139—42no—
200#125×C139—42no—
201C22⋊Q8×C139—42no—
202C22⋊Q8×C139—42no—
203C4×D4×C139Q818yescomplemented
204#117×C139—42no—
205C2×C4⋊C4×C139C2311yescharacteristic
206C2×C4⋊C4×C139C2311yescharacteristic
207C2×C4⋊C4×C139C2311yescharacteristic
208C2×C4⋊C4×C139C2311yescharacteristic
209C2×C4⋊C4×C139C2311yescharacteristic
210C2×C4⋊C4×C139C2311yescharacteristic
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C4⋊C4×C139C2311yescharacteristic
213C2×C4⋊C4×C139C2311yescharacteristic
214C2×C4⋊C4×C139C2311yescharacteristic
215C2×C4⋊C4×C139C2311yescharacteristic
216C2×C4⋊C4×C139C2311yescharacteristic
217C2×C4⋊C4×C139C2311yescharacteristic
218C2×C4⋊C4×C139C2311yescharacteristic
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×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×C22⋊C4×C139C2311yescharacteristic
250C2×C22⋊C4×C139C2311yescharacteristic
251C2×C22⋊C4×C139C2311yescharacteristic
252C2×C22⋊C4×C139C2311yescharacteristic
253C2×C22⋊C4×C139C2311yescharacteristic
254C2×C22⋊C4×C139C2311yescharacteristic
255C2×C22⋊C4×C139C2311yescharacteristic
256C2×C22⋊C4×C139C2311yescharacteristic
257C2×C22⋊C4×C139C2311yescharacteristic
258C2×C22⋊C4×C139C2311yescharacteristic
259C2×C22⋊C4×C139C2311yescharacteristic
260C2×C22⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139C2311yescharacteristic
262C2×C22⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C42×C139—42no—
272C2×C42×C139C2311yescharacteristic
273C2×C42×C139C2311yescharacteristic
274C2×C42×C139C2311yescharacteristic
275C2×C42×C139C2311yescharacteristic
276C2×C42×C139C2311yescharacteristic
277C2×C42×C139C2311yescharacteristic
278C2×C42×C139C2311yescharacteristic
279C2×C42×C139C2311yescharacteristic
280C2×C42×C139C2311yescharacteristic
281C2×C42×C139C2311yescharacteristic
282C2×C42×C139C2311yescharacteristic
283C2×C42×C139C2311yescharacteristic
284C2×C42×C139C2311yescharacteristic
285#95×C139C2311yescharacteristic
286#95×C139C2311yescharacteristic
287#95×C139C2311yescharacteristic
288#95×C139C2311yescharacteristic
289#95×C139C2311yescharacteristic
290#95×C139C2311yescharacteristic
291#95×C139C2311yescharacteristic
292#95×C139C2311yescharacteristic
293#95×C139C2311yescharacteristic
294#95×C139C2311yescharacteristic
295#95×C139C2311yescharacteristic
296#95×C139C2311yescharacteristic
297#95×C139C2311yescharacteristic
298#95×C139C2311yescharacteristic
299#95×C139C2311yescharacteristic
300#95×C139C2311yescharacteristic
301#95×C139C2311yescharacteristic
302#95×C139C2311yescharacteristic
303#95×C139C2311yescharacteristic
304#95×C139C2311yescharacteristic
305#95×C139C2311yescharacteristic
306#95×C139C2311yescharacteristic
307#95×C139C2311yescharacteristic
308#95×C139C2311yescharacteristic
309#95×C139C2311yescharacteristic
310#95×C139C2311yescharacteristic
311#95×C139C2311yescharacteristic
312#95×C139C2311yescharacteristic
313#95×C139C2311yescharacteristic
314#95×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349C24×C139C2411yescharacteristic
350C24×C139C2411yescharacteristic
351C2×Q8×C139—22no—
352C2×Q8×C139—41no—
353C2×Q8×C139—41no—
354C2×Q8×C139—41no—
355C2×Q8×C139—41no—
356C2×Q8×C139—41no—
357C2×Q8×C139—41no—
358C2×Q8×C139—41no—
359C2×Q8×C139—41no—
360C2×Q8×C139—41no—
361C2×Q8×C139—41no—
362C2×Q8×C139—41no—
363C2×Q8×C139—41no—
364C2×Q8×C139—41no—
365C2×Q8×C139—41no—
366C2×D4×C139—41no—
367C2×D4×C139—41no—
368C2×D4×C139C2×Q814yes—
369C22×C4×C139—22no—
370C22×C4×C139—41no—
371C22×C4×C139—41no—
372C22×C4×C139—41no—
373C22×C4×C139—41no—
374C22×C4×C139—41no—
375C22×C4×C139—41no—
376C22×C4×C139—41no—
377C22×C4×C139—41no—
378C22×C4×C139—41no—
379C22×C4×C139—41no—
380C22×C4×C139—41no—
381C22×C4×C139—41no—
382C22×C4×C139—41no—
383C22×C4×C139—41no—
384C22×C4×C139—41no—
385C22×C4×C139C2×Q814yes—
386C22×C4×C139C2×Q814yes—
387C22×C4×C139C2411yescharacteristic
388C22×C4×C139C2411yescharacteristic
389C22×C4×C139C2411yescharacteristic
390C22×C4×C139C2411yescharacteristic
391C22×C4×C139C2411yescharacteristic
392C22×C4×C139C2411yescharacteristic
393C22×C4×C139C2411yescharacteristic
394C22×C4×C139C2411yescharacteristic
395C22×C4×C139C2411yescharacteristic
396C22×C4×C139C2411yescharacteristic
397C22×C4×C139C2411yescharacteristic
398C22×C4×C139C2411yescharacteristic
399C22×C4×C139C2411yescharacteristic
400C22×C4×C139C2411yescharacteristic
401C22×C4×C139C2411yescharacteristic
402C22×C4×C139C2411yescharacteristic
403C22×C4×C139C2411yescharacteristic
404C22×C4×C139C2411yescharacteristic
405C22×C4×C139C2411yescharacteristic
406C22×C4×C139C2411yescharacteristic
407C22×C4×C139C2411yescharacteristic
408C22×C4×C139C2411yescharacteristic
409C22×C4×C139C2411yescharacteristic
410C22×C4×C139C2411yescharacteristic
411C22×C4×C139C2411yescharacteristic
412C22×C4×C139C2411yescharacteristic
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C4⋊C4×C139—22no—
417C4⋊C4×C139—22no—
418C4⋊C4×C139—22no—
419C4⋊C4×C139—22no—
420C4⋊C4×C139—41no—
421C4⋊C4×C139—41no—
422C4⋊C4×C139—41no—
423C4⋊C4×C139—41no—
424C4⋊C4×C139—41no—
425C4⋊C4×C139—41no—
426C4⋊C4×C139—41no—
427C4⋊C4×C139—41no—
428C4⋊C4×C139—41no—
429C4⋊C4×C139—41no—
430C4⋊C4×C139—41no—
431C4⋊C4×C139—41no—
432C4⋊C4×C139—41no—
433C4⋊C4×C139—41no—
434C4⋊C4×C139—41no—
435C4⋊C4×C139—41no—
436C4⋊C4×C139—41no—
437C4⋊C4×C139—41no—
438C4⋊C4×C139—41no—
439C4⋊C4×C139—41no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139—41no—
447C4⋊C4×C139—41no—
448C4⋊C4×C139—41no—
449C4⋊C4×C139—41no—
450C4⋊C4×C139—41no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139C2×Q814yes—
460C22⋊C4×C139—22no—
461C22⋊C4×C139—41no—
462C22⋊C4×C139—41no—
463C22⋊C4×C139—41no—
464C22⋊C4×C139—41no—
465C22⋊C4×C139—41no—
466C22⋊C4×C139—41no—
467C22⋊C4×C139—41no—
468C22⋊C4×C139—41no—
469C22⋊C4×C139—41no—
470C22⋊C4×C139—41no—
471C22⋊C4×C139—41no—
472C22⋊C4×C139—41no—
473C22⋊C4×C139—41no—
474C22⋊C4×C139—41no—
475C22⋊C4×C139—41no—
476C22⋊C4×C139—41no—
477C22⋊C4×C139—41no—
478C22⋊C4×C139—41no—
479C22⋊C4×C139—41no—
480C22⋊C4×C139C2×Q814yes—
481C22⋊C4×C139C2×Q814yes—
482C42×C139—22no—
483C42×C139—22no—
484C42×C139—41no—
485C42×C139—41no—
486C42×C139—41no—
487C42×C139—41no—
488C42×C139—41no—
489C42×C139—41no—
490C42×C139—41no—
491C42×C139—41no—
492C42×C139—41no—
493C42×C139—41no—
494C42×C139C2×Q814yes—
495C23×C139—21no—
496C23×C139—21no—
497C23×C139—21no—
498C23×C139—21no—
499C23×C139—21no—
500C23×C139—21no—
501C23×C139—21no—
502C23×C139—21no—
503C23×C139—21no—
504C23×C139—21no—
505C23×C139—21no—
506C23×C139—21no—
507C23×C139C22×Q812yes—
508C23×C139C22×Q812yes—
509C23×C139C2511yescharacteristic
510Q8×C139—82no—
511Q8×C139—82no—
512Q8×C139—82no—
513Q8×C139—82no—
514Q8×C139—82no—
515D4×C139—44no—
516C2×C4×C139—21no—
517C2×C4×C139—21no—
518C2×C4×C139—21no—
519C2×C4×C139—21no—
520C2×C4×C139—21no—
521C2×C4×C139—21no—
522C2×C4×C139—21no—
523C2×C4×C139—21no—
524C2×C4×C139—21no—
525C2×C4×C139—21no—
526C2×C4×C139—21no—
527C2×C4×C139—21no—
528C2×C4×C139—21no—
529C2×C4×C139—21no—
530C2×C4×C139—21no—
531C2×C4×C139—21no—
532C2×C4×C139—21no—
533C2×C4×C139—21no—
534C2×C4×C139—21no—
535C2×C4×C139—21no—
536C2×C4×C139—21no—
537C2×C4×C139—21no—
538C2×C4×C139—21no—
539C2×C4×C139—21no—
540C2×C4×C139—21no—
541C2×C4×C139—21no—
542C2×C4×C139—21no—
543C2×C4×C139—21no—
544C2×C4×C139—21no—
545C2×C4×C139—21no—
546C2×C4×C139—21no—
547C2×C4×C139—21no—
548C2×C4×C139—21no—
549C2×C4×C139—21no—
550C2×C4×C139—21no—
551C2×C4×C139—21no—
552C2×C4×C139—21no—
553C2×C4×C139—21no—
554C2×C4×C139—21no—
555C2×C4×C139—21no—
556C2×C4×C139—21no—
557C2×C4×C139—21no—
558C2×C4×C139—21no—
559C2×C4×C139—21no—
560C2×C4×C139—21no—
561C2×C4×C139—21no—
562C2×C4×C139—21no—
563C2×C4×C139—21no—
564C2×C4×C139—21no—
565C2×C4×C139—21no—
566C2×C4×C139—21no—
567C2×C4×C139—21no—
568C2×C4×C139—21no—
569C2×C4×C139—21no—
570C2×C4×C139—21no—
571C2×C4×C139—21no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—44no—
598C2×C4×C139—44no—
599C2×C4×C139—44no—
600C2×C4×C139—44no—
601C2×C4×C139—82no—
602C2×C4×C139—82no—
603C2×C4×C139C22×Q812yes—
604C2×C4×C139C22×Q812yes—
605C2×C4×C139C22×Q812yes—
606C2×C4×C139C22×Q812yes—
607C2×C4×C139C22×Q812yes—
608C2×C4×C139H(5,𝔽2)12yes—
609C22×C139—22no—
610C22×C139—22no—
611C22×C139—22no—
612C22×C139—22no—
613C22×C139—22no—
614C22×C139—22no—
615C22×C139—41no—
616C22×C139—41no—
617C22×C139—41no—
618C22×C139—41no—
619C22×C139—41no—
620C22×C139—41no—
621C22×C139—41no—
622C22×C139—41no—
623C22×C139C23×Q811yescharacteristic
624C22×C139C2×H(5,𝔽2)11yescharacteristic
625C22×C139#58511yescharacteristic
626C22×C139#58511yescharacteristic
627C22×C139#58511yescharacteristic
628C22×C139#58511yescharacteristic
629C22×C139#58511yescharacteristic
630C4×C139—22no—
631C4×C139—22no—
632C4×C139—22no—
633C4×C139—22no—
634C4×C139—22no—
635C4×C139—22no—
636C4×C139—41no—
637C4×C139—41no—
638C4×C139—41no—
639C4×C139—41no—
640C4×C139—41no—
641C4×C139—41no—
642C4×C139—41no—
643C4×C139—41no—
644C4×C139—41no—
645C4×C139—41no—
646C4×C139—41no—
647C4×C139—41no—
648C4×C139—41no—
649C4×C139—41no—
650C4×C139—41no—
651C4×C139—41no—
652C4×C139—41no—
653C4×C139—41no—
654C4×C139—41no—
655C4×C139—41no—
656C4×C139—41no—
657C4×C139—41no—
658C4×C139—41no—
659C2×C139—42no—
660C2×C139—42no—
661C2×C139#345811yescharacteristic
662C2×C139#350111yescharacteristic
663C2×C139#350411yescharacteristic
664C2×C139#353311yescharacteristic
665C2×C139#354011yescharacteristic
666C2×C139#356611yescharacteristic
667C2×C139#356811yescharacteristic
668#36755C13911yesmaximal, characteristic, direct product factor, Sylow
669C139#3675511yescharacteristic, direct product factor, Sylow
670#2855C2×C13911yescharacteristic, complemented
671#2851C2×C13911yescharacteristic, complemented
672#2805C2×C13911yescharacteristic, complemented
673#2804C2×C13911yescharacteristic
674#2790C2×C13911yescharacteristic, complemented
675#2788C2×C13911yescharacteristic, complemented
676#2788C2×C13911yescharacteristic, complemented
677#2784C2×C13911yescharacteristic
678#2780C2×C13911yescharacteristic
679#2774C2×C13911yescharacteristic, complemented
680#2763C2×C13911yescharacteristic, complemented
681#2763C2×C13911yescharacteristic, complemented
682#2755C2×C13911yescharacteristic, complemented
683#2742C2×C13911yescharacteristic, complemented
684#2729C2×C13911yescharacteristic, complemented
685#2720C2×C13911yescharacteristic, complemented
686#2713C2×C13911yescharacteristic, complemented
687#2692C2×C13911yescharacteristic
688#2665C2×C13911yescharacteristic, complemented
689#2665C2×C13911yescharacteristic, complemented
690#2612C2×C13911yescharacteristic, complemented
691#2607C2×C13911yescharacteristic, complemented
692#2605C2×C13911yescharacteristic, complemented
693#2605C2×C13911yescharacteristic, complemented
694#2570C2×C13911yescharacteristic, complemented
695#2569C2×C13911yescharacteristic, complemented
696#2439C2×C13911yescharacteristic, complemented
697#2438C2×C13911yescharacteristic, complemented
698#2319C2×C13911yescharacteristic
699#2318C2×C13911yescharacteristic
700#2290C2×C13911yescharacteristic
701C2×C4⋊Q8C22×C13911yescharacteristic
702C2×#125C22×C13911yescharacteristic
703C2×C22⋊Q8C22×C13911yescharacteristic
704C2×C22⋊Q8C22×C13911yescharacteristic
705C2×C4×D4C22×C13911yescharacteristic
706C2×#117C22×C13911yescharacteristic
707C22×C42C22×C13911yescharacteristic
708#400C22×C13911yescharacteristic
709#400C22×C13911yescharacteristic
710#400C22×C13911yescharacteristic
711#400C22×C13911yescharacteristic
712#400C22×C13911yescharacteristic
713#400C22×C13911yescharacteristic
714#400C22×C13911yescharacteristic
715#400C22×C13911yescharacteristic
716#400C22×C13911yescharacteristic
717#400C22×C13911yescharacteristic
718#400C22×C13911yescharacteristic
719#400C22×C13911yescharacteristic
720#400C22×C13911yescharacteristic
721#400C22×C13911yescharacteristic
722#399C22×C13911yescharacteristic
723#399C22×C13911yescharacteristic
724#398C22×C13911yescharacteristic
725#398C22×C13911yescharacteristic
726#398C22×C13911yescharacteristic
727#398C22×C13911yescharacteristic
728#398C22×C13911yescharacteristic
729#398C22×C13911yescharacteristic
730#398C22×C13911yescharacteristic
731#398C22×C13911yescharacteristic
732#396C22×C13911yescharacteristic
733#396C22×C13911yescharacteristic
734#396C22×C13911yescharacteristic
735#396C22×C13911yescharacteristic
736#396C22×C13911yescharacteristic
737#396C22×C13911yescharacteristic
738#395C22×C13911yescharacteristic
739#395C22×C13911yescharacteristic
740#395C22×C13911yescharacteristic
741#395C22×C13911yescharacteristic
742#395C22×C13911yescharacteristic
743#395C22×C13911yescharacteristic
744#395C22×C13911yescharacteristic
745#395C22×C13911yescharacteristic
746#395C22×C13911yescharacteristic
747#395C22×C13911yescharacteristic
748#393C22×C13911yescharacteristic
749#393C22×C13911yescharacteristic
750#393C22×C13911yescharacteristic
751#393C22×C13911yescharacteristic
752#393C22×C13911yescharacteristic
753#393C22×C13911yescharacteristic
754#393C22×C13911yescharacteristic
755#393C22×C13911yescharacteristic
756#391C22×C13911yescharacteristic
757#391C22×C13911yescharacteristic
758#391C22×C13911yescharacteristic
759#391C22×C13911yescharacteristic
760#391C22×C13911yescharacteristic
761#391C22×C13911yescharacteristic
762#391C22×C13911yescharacteristic
763#391C22×C13911yescharacteristic
764#391C22×C13911yescharacteristic
765#391C22×C13911yescharacteristic
766#391C22×C13911yescharacteristic
767#391C22×C13911yescharacteristic
768#391C22×C13911yescharacteristic
769#390C22×C13911yescharacteristic
770#390C22×C13911yescharacteristic
771#389C22×C13911yescharacteristic
772#389C22×C13911yescharacteristic
773#389C22×C13911yescharacteristic
774#389C22×C13911yescharacteristic
775#389C22×C13911yescharacteristic
776#389C22×C13911yescharacteristic
777#389C22×C13911yescharacteristic
778#389C22×C13911yescharacteristic
779#389C22×C13911yescharacteristic
780#389C22×C13911yescharacteristic
781#389C22×C13911yescharacteristic
782#388C22×C13911yescharacteristic
783#388C22×C13911yescharacteristic
784#388C22×C13911yescharacteristic
785#388C22×C13911yescharacteristic
786#388C22×C13911yescharacteristic
787#388C22×C13911yescharacteristic
788#388C22×C13911yescharacteristic
789#388C22×C13911yescharacteristic
790#387C22×C13911yescharacteristic
791#387C22×C13911yescharacteristic
792#387C22×C13911yescharacteristic
793#387C22×C13911yescharacteristic
794#387C22×C13911yescharacteristic
795#387C22×C13911yescharacteristic
796#387C22×C13911yescharacteristic
797#387C22×C13911yescharacteristic
798#387C22×C13911yescharacteristic
799#387C22×C13911yescharacteristic
800#387C22×C13911yescharacteristic
801#387C22×C13911yescharacteristic
802#387C22×C13911yescharacteristic
803#387C22×C13911yescharacteristic
804#387C22×C13911yescharacteristic
805#387C22×C13911yescharacteristic
806#387C22×C13911yescharacteristic
807#387C22×C13911yescharacteristic
808#387C22×C13911yescharacteristic
809#387C22×C13911yescharacteristic
810#387C22×C13911yescharacteristic
811#387C22×C13911yescharacteristic
812#387C22×C13911yescharacteristic
813#387C22×C13911yescharacteristic
814#386C22×C13911yescharacteristic
815#386C22×C13911yescharacteristic
816#386C22×C13911yescharacteristic
817#386C22×C13911yescharacteristic
818#385C22×C13911yescharacteristic
819#385C22×C13911yescharacteristic
820#385C22×C13911yescharacteristic
821#385C22×C13911yescharacteristic
822#385C22×C13911yescharacteristic
823#385C22×C13911yescharacteristic
824#385C22×C13911yescharacteristic
825#385C22×C13911yescharacteristic
826#385C22×C13911yescharacteristic
827#385C22×C13911yescharacteristic
828#385C22×C13911yescharacteristic
829#385C22×C13911yescharacteristic
830#385C22×C13911yescharacteristic
831#385C22×C13911yescharacteristic
832#384C22×C13911yescharacteristic
833#383C22×C13911yescharacteristic
834#382C22×C13911yescharacteristic
835#382C22×C13911yescharacteristic
836#382C22×C13911yescharacteristic
837#382C22×C13911yescharacteristic
838#381C22×C13911yescharacteristic
839#381C22×C13911yescharacteristic
840#381C22×C13911yescharacteristic
841#380C22×C13911yescharacteristic
842#380C22×C13911yescharacteristic
843#380C22×C13911yescharacteristic
844#380C22×C13911yescharacteristic
845#380C22×C13911yescharacteristic
846#380C22×C13911yescharacteristic
847#380C22×C13911yescharacteristic
848C4×C4⋊C4C22×C13911yescharacteristic
849C4×C4⋊C4C22×C13911yescharacteristic
850C4×C22⋊C4C22×C13911yescharacteristic
851C4×C22⋊C4C22×C13911yescharacteristic
852C4×C22⋊C4C22×C13911yescharacteristic
853#376C22×C13911yescharacteristic
854#376C22×C13911yescharacteristic
855C2×#95C22×C13911yescharacteristic
856C22×Q8C23×C13911yescharacteristic
857C22×Q8C23×C13911yescharacteristic
858C22×Q8C23×C13911yescharacteristic
859C22×Q8C23×C13911yescharacteristic
860C22×Q8C23×C13911yescharacteristic
861C22×D4C23×C13911yescharacteristic
862C23×C4C23×C13911yescharacteristic
863C23×C4C23×C13911yescharacteristic
864C23×C4C23×C13911yescharacteristic
865C23×C4C23×C13911yescharacteristic
866C23×C4C23×C13911yescharacteristic
867C23×C4C23×C13911yescharacteristic
868C4⋊Q8—42no—
869#125—42no—
870C22⋊Q8—42no—
871C22⋊Q8—42no—
872C4×D4Q8×C13918yescomplemented
873#117—42no—
874C2×C4⋊C4C23×C13911yescharacteristic
875C2×C4⋊C4C23×C13911yescharacteristic
876C2×C4⋊C4C23×C13911yescharacteristic
877C2×C4⋊C4C23×C13911yescharacteristic
878C2×C4⋊C4C23×C13911yescharacteristic
879C2×C4⋊C4C23×C13911yescharacteristic
880C2×C4⋊C4C23×C13911yescharacteristic
881C2×C4⋊C4C23×C13911yescharacteristic
882C2×C4⋊C4C23×C13911yescharacteristic
883C2×C4⋊C4C23×C13911yescharacteristic
884C2×C4⋊C4C23×C13911yescharacteristic
885C2×C4⋊C4C23×C13911yescharacteristic
886C2×C4⋊C4C23×C13911yescharacteristic
887C2×C4⋊C4C23×C13911yescharacteristic
888C2×C4⋊C4C23×C13911yescharacteristic
889C2×C4⋊C4C23×C13911yescharacteristic
890C2×C4⋊C4C23×C13911yescharacteristic
891C2×C4⋊C4C23×C13911yescharacteristic
892C2×C4⋊C4C23×C13911yescharacteristic
893C2×C4⋊C4C23×C13911yescharacteristic
894C2×C4⋊C4C23×C13911yescharacteristic
895C2×C4⋊C4C23×C13911yescharacteristic
896C2×C4⋊C4C23×C13911yescharacteristic
897C2×C4⋊C4C23×C13911yescharacteristic
898C2×C4⋊C4C23×C13911yescharacteristic
899C2×C4⋊C4C23×C13911yescharacteristic
900C2×C4⋊C4C23×C13911yescharacteristic
901C2×C4⋊C4C23×C13911yescharacteristic
902C2×C4⋊C4C23×C13911yescharacteristic
903C2×C4⋊C4C23×C13911yescharacteristic
904C2×C4⋊C4C23×C13911yescharacteristic
905C2×C4⋊C4C23×C13911yescharacteristic
906C2×C4⋊C4C23×C13911yescharacteristic
907C2×C4⋊C4C23×C13911yescharacteristic
908C2×C4⋊C4C23×C13911yescharacteristic
909C2×C4⋊C4C23×C13911yescharacteristic
910C2×C4⋊C4C23×C13911yescharacteristic
911C2×C4⋊C4C23×C13911yescharacteristic
912C2×C4⋊C4C23×C13911yescharacteristic
913C2×C4⋊C4C23×C13911yescharacteristic
914C2×C4⋊C4C23×C13911yescharacteristic
915C2×C4⋊C4C23×C13911yescharacteristic
916C2×C4⋊C4C23×C13911yescharacteristic
917C2×C4⋊C4C23×C13911yescharacteristic
918C2×C22⋊C4C23×C13911yescharacteristic
919C2×C22⋊C4C23×C13911yescharacteristic
920C2×C22⋊C4C23×C13911yescharacteristic
921C2×C22⋊C4C23×C13911yescharacteristic
922C2×C22⋊C4C23×C13911yescharacteristic
923C2×C22⋊C4C23×C13911yescharacteristic
924C2×C22⋊C4C23×C13911yescharacteristic
925C2×C22⋊C4C23×C13911yescharacteristic
926C2×C22⋊C4C23×C13911yescharacteristic
927C2×C22⋊C4C23×C13911yescharacteristic
928C2×C22⋊C4C23×C13911yescharacteristic
929C2×C22⋊C4C23×C13911yescharacteristic
930C2×C22⋊C4C23×C13911yescharacteristic
931C2×C22⋊C4C23×C13911yescharacteristic
932C2×C22⋊C4C23×C13911yescharacteristic
933C2×C22⋊C4C23×C13911yescharacteristic
934C2×C22⋊C4C23×C13911yescharacteristic
935C2×C22⋊C4C23×C13911yescharacteristic
936C2×C22⋊C4C23×C13911yescharacteristic
937C2×C22⋊C4C23×C13911yescharacteristic
938C2×C22⋊C4C23×C13911yescharacteristic
939C2×C22⋊C4C23×C13911yescharacteristic
940C2×C42—42no—
941C2×C42C23×C13911yescharacteristic
942C2×C42C23×C13911yescharacteristic
943C2×C42C23×C13911yescharacteristic
944C2×C42C23×C13911yescharacteristic
945C2×C42C23×C13911yescharacteristic
946C2×C42C23×C13911yescharacteristic
947C2×C42C23×C13911yescharacteristic
948C2×C42C23×C13911yescharacteristic
949C2×C42C23×C13911yescharacteristic
950C2×C42C23×C13911yescharacteristic
951C2×C42C23×C13911yescharacteristic
952C2×C42C23×C13911yescharacteristic
953C2×C42C23×C13911yescharacteristic
954#95C23×C13911yescharacteristic
955#95C23×C13911yescharacteristic
956#95C23×C13911yescharacteristic
957#95C23×C13911yescharacteristic
958#95C23×C13911yescharacteristic
959#95C23×C13911yescharacteristic
960#95C23×C13911yescharacteristic
961#95C23×C13911yescharacteristic
962#95C23×C13911yescharacteristic
963#95C23×C13911yescharacteristic
964#95C23×C13911yescharacteristic
965#95C23×C13911yescharacteristic
966#95C23×C13911yescharacteristic
967#95C23×C13911yescharacteristic
968#95C23×C13911yescharacteristic
969#95C23×C13911yescharacteristic
970#95C23×C13911yescharacteristic
971#95C23×C13911yescharacteristic
972#95C23×C13911yescharacteristic
973#95C23×C13911yescharacteristic
974#95C23×C13911yescharacteristic
975#95C23×C13911yescharacteristic
976#95C23×C13911yescharacteristic
977#95C23×C13911yescharacteristic
978#95C23×C13911yescharacteristic
979#95C23×C13911yescharacteristic
980#95C23×C13911yescharacteristic
981#95C23×C13911yescharacteristic
982#95C23×C13911yescharacteristic
983#95C23×C13911yescharacteristic
984#95C23×C13911yescharacteristic
985#95C23×C13911yescharacteristic
986#95C23×C13911yescharacteristic
987#95C23×C13911yescharacteristic
988#95C23×C13911yescharacteristic
989#95C23×C13911yescharacteristic
990#95C23×C13911yescharacteristic
991#95C23×C13911yescharacteristic
992#95C23×C13911yescharacteristic
993#95C23×C13911yescharacteristic
994#95C23×C13911yescharacteristic
995#95C23×C13911yescharacteristic
996#95C23×C13911yescharacteristic
997#95C23×C13911yescharacteristic
998#95C23×C13911yescharacteristic
999#95C23×C13911yescharacteristic
1000#95C23×C13911yescharacteristic
1001#95C23×C13911yescharacteristic
1002#95C23×C13911yescharacteristic
1003#95C23×C13911yescharacteristic
1004#95C23×C13911yescharacteristic
1005#95C23×C13911yescharacteristic
1006#95C23×C13911yescharacteristic
1007#95C23×C13911yescharacteristic
1008#95C23×C13911yescharacteristic
1009#95C23×C13911yescharacteristic
1010#95C23×C13911yescharacteristic
1011#95C23×C13911yescharacteristic
1012#95C23×C13911yescharacteristic
1013#95C23×C13911yescharacteristic
1014#95C23×C13911yescharacteristic
1015#95C23×C13911yescharacteristic
1016#95C23×C13911yescharacteristic
1017#95C23×C13911yescharacteristic
1018C24C24×C13911yescharacteristic
1019C24C24×C13911yescharacteristic
1020C2×Q8—22no—
1021C2×Q8—41no—
1022C2×Q8—41no—
1023C2×Q8—41no—
1024C2×Q8—41no—
1025C2×Q8—41no—
1026C2×Q8—41no—
1027C2×Q8—41no—
1028C2×Q8—41no—
1029C2×Q8—41no—
1030C2×Q8—41no—
1031C2×Q8—41no—
1032C2×Q8—41no—
1033C2×Q8—41no—
1034C2×Q8—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4C2×Q8×C13914yes—
1038C22×C4—22no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4C2×Q8×C13914yes—
1055C22×C4C2×Q8×C13914yes—
1056C22×C4C24×C13911yescharacteristic
1057C22×C4C24×C13911yescharacteristic
1058C22×C4C24×C13911yescharacteristic
1059C22×C4C24×C13911yescharacteristic
1060C22×C4C24×C13911yescharacteristic
1061C22×C4C24×C13911yescharacteristic
1062C22×C4C24×C13911yescharacteristic
1063C22×C4C24×C13911yescharacteristic
1064C22×C4C24×C13911yescharacteristic
1065C22×C4C24×C13911yescharacteristic
1066C22×C4C24×C13911yescharacteristic
1067C22×C4C24×C13911yescharacteristic
1068C22×C4C24×C13911yescharacteristic
1069C22×C4C24×C13911yescharacteristic
1070C22×C4C24×C13911yescharacteristic
1071C22×C4C24×C13911yescharacteristic
1072C22×C4C24×C13911yescharacteristic
1073C22×C4C24×C13911yescharacteristic
1074C22×C4C24×C13911yescharacteristic
1075C22×C4C24×C13911yescharacteristic
1076C22×C4C24×C13911yescharacteristic
1077C22×C4C24×C13911yescharacteristic
1078C22×C4C24×C13911yescharacteristic
1079C22×C4C24×C13911yescharacteristic
1080C22×C4C24×C13911yescharacteristic
1081C22×C4C24×C13911yescharacteristic
1082C22×C4C24×C13911yescharacteristic
1083C22×C4C24×C13911yescharacteristic
1084C22×C4C24×C13911yescharacteristic
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4C2×Q8×C13914yes—
1129C22⋊C4—22no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4C2×Q8×C13914yes—
1150C22⋊C4C2×Q8×C13914yes—
1151C42—22no—
1152C42—22no—
1153C42—41no—
1154C42—41no—
1155C42—41no—
1156C42—41no—
1157C42—41no—
1158C42—41no—
1159C42—41no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42C2×Q8×C13914yes—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23C22×Q8×C13912yes—
1177C23C22×Q8×C13912yes—
1178C23C25×C13911yescharacteristic
1179Q8—82no—
1180Q8—82no—
1181Q8—82no—
1182Q8—82no—
1183Q8—82no—
1184D4—44no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—44no—
1267C2×C4—44no—
1268C2×C4—44no—
1269C2×C4—44no—
1270C2×C4—82no—
1271C2×C4—82no—
1272C2×C4C22×Q8×C13912yes—
1273C2×C4C22×Q8×C13912yes—
1274C2×C4C22×Q8×C13912yes—
1275C2×C4C22×Q8×C13912yes—
1276C2×C4C22×Q8×C13912yes—
1277C2×C4H(5,𝔽2)×C13912yes—
1278C22—22no—
1279C22—22no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—41no—
1285C22—41no—
1286C22—41no—
1287C22—41no—
1288C22—41no—
1289C22—41no—
1290C22—41no—
1291C22—41no—
1292C22C23×Q8×C13911yescharacteristic
1293C22C2×H(5,𝔽2)×C13911yescharacteristic
1294C22#585×C13911yescharacteristic
1295C22#585×C13911yescharacteristic
1296C22#585×C13911yescharacteristic
1297C22#585×C13911yescharacteristic
1298C22#585×C13911yescharacteristic
1299C4—22no—
1300C4—22no—
1301C4—22no—
1302C4—22no—
1303C4—22no—
1304C4—22no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—41no—
1311C4—41no—
1312C4—41no—
1313C4—41no—
1314C4—41no—
1315C4—41no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C2—42no—
1329C2—42no—
1330C2#3458×C13911yescharacteristic
1331C2#3501×C13911yescharacteristic
1332C2#3504×C13911yescharacteristic
1333C2#3533×C13911yescharacteristic
1334C2#3540×C13911yescharacteristic
1335C2#3566×C13911yescharacteristic
1336C2#3568×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC22×D4×C139C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2855×C139C2semidirect
2. #2851×C139C2semidirect
3. #2805×C139C2semidirect
5. #2790×C139C2semidirect
6. #2788×C139C2semidirect
7. #2788×C139C2semidirect
10. #2774×C139C2semidirect
11. #2763×C139C2semidirect
12. #2763×C139C2semidirect
13. #2755×C139C2semidirect
14. #2742×C139C2semidirect
15. #2729×C139C2semidirect
16. #2720×C139C2semidirect
17. #2713×C139C2semidirect
19. #2665×C139C2semidirect
20. #2665×C139C2semidirect
21. #2612×C139C2semidirect
22. #2607×C139C2semidirect
23. #2605×C139C2semidirect
24. #2605×C139C2semidirect
25. #2570×C139C2semidirect
26. #2569×C139C2semidirect
27. #2439×C139C2semidirect
28. #2438×C139C2semidirect
203. C4×D4×C139Q8semidirect
668. #36755C139direct (N × H)
669. C139#36755direct (N × H)
670. #2855C2×C139semidirect
671. #2851C2×C139semidirect
672. #2805C2×C139semidirect
674. #2790C2×C139semidirect
675. #2788C2×C139semidirect
676. #2788C2×C139semidirect
679. #2774C2×C139semidirect
680. #2763C2×C139semidirect
681. #2763C2×C139semidirect
682. #2755C2×C139semidirect
683. #2742C2×C139semidirect
684. #2729C2×C139semidirect
685. #2720C2×C139semidirect
686. #2713C2×C139semidirect
688. #2665C2×C139semidirect
689. #2665C2×C139semidirect
690. #2612C2×C139semidirect
691. #2607C2×C139semidirect
692. #2605C2×C139semidirect
693. #2605C2×C139semidirect
694. #2570C2×C139semidirect
695. #2569C2×C139semidirect
696. #2439C2×C139semidirect
697. #2438C2×C139semidirect
872. C4×D4Q8×C139semidirect

Maximal subgroups

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

subgroupindex
#2855×C1392
#2851×C1392
#2805×C1392
#2804×C1392
#2790×C1392
#2788×C1392
#2784×C1392
#2780×C1392
#2774×C1392
#2763×C1392
#2755×C1392
#2742×C1392
#2729×C1392
#2720×C1392
#2713×C1392
#2692×C1392
#2665×C1392
#2612×C1392
#2607×C1392
#2605×C1392
#2570×C1392
#2569×C1392
#2439×C1392
#2438×C1392
#2319×C1392
#2318×C1392
#2290×C1392
#36755139