Finite Group Databasebeta

← C139×#23335 #48017931

Subgroups — C139×#23335 #48017931

Order 35584.

776 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2392×C139C211yesmaximal, characteristic
2#1955×C139C211yesmaximal, characteristic, complemented
3#1955×C139C211yesmaximal, characteristic, complemented
4#1924×C139C211yesmaximal, characteristic, complemented
5#1924×C139C211yesmaximal, characteristic, complemented
6#1917×C139C211yesmaximal, characteristic, complemented
7#1917×C139C211yesmaximal, characteristic, complemented
8#1870×C139C211yesmaximal, characteristic, complemented
9#1870×C139C211yesmaximal, characteristic, complemented
10#1869×C139C211yesmaximal, characteristic, complemented
11#1869×C139C211yesmaximal, characteristic, complemented
12#1851×C139C211yesmaximal, characteristic, complemented
13#1850×C139C211yesmaximal, characteristic, complemented
14#1818×C139C211yesmaximal, characteristic, complemented
15#1798×C139C211yesmaximal, characteristic, complemented
16C22×M16×C139C2211yescharacteristic
17C23×C8×C139C2211yescharacteristic
18C2×C4×D4×C139C2211yescharacteristic
19C2×C4×D4×C139C2211yescharacteristic
20C2×C4×D4×C139C2211yescharacteristic
21C2×#117×C139C2211yescharacteristic
22C2×C4⋊C8×C139C2211yescharacteristic
23C2×C4⋊C8×C139C2211yescharacteristic
24C2×C4⋊C8×C139C2211yescharacteristic
25C2×C4⋊C8×C139C2211yescharacteristic
26C2×C22⋊C8×C139C2211yescharacteristic
27C2×C22⋊C8×C139C2211yescharacteristic
28C2×C22⋊C8×C139C2211yescharacteristic
29C2×C22⋊C8×C139C2211yescharacteristic
30C2×C22⋊C8×C139C2211yescharacteristic
31C2×C22⋊C8×C139C2211yescharacteristic
32C2×C22⋊C8×C139C2211yescharacteristic
33C2×C22⋊C8×C139C2211yescharacteristic
34C2×C22⋊C8×C139C2211yescharacteristic
35C2×C22⋊C8×C139C2211yescharacteristic
36C2×#97×C139C2211yescharacteristic
37C2×#97×C139C2211yescharacteristic
38#398×C139C411yescharacteristic
39#397×C139C411yescharacteristic
40#396×C139C411yescharacteristic
41#396×C139C411yescharacteristic
42#394×C139C411yescharacteristic
43#394×C139C411yescharacteristic
44#394×C139C411yescharacteristic
45#392×C139C411yescharacteristic
46C4×C4⋊C4×C139C2211yescharacteristic
47C4×C22⋊C4×C139C2211yescharacteristic
48C4×C22⋊C4×C139C2211yescharacteristic
49#336×C139C2211yescharacteristic
50#336×C139C2211yescharacteristic
51#336×C139C2211yescharacteristic
52#336×C139C2211yescharacteristic
53#336×C139C2211yescharacteristic
54#336×C139C2211yescharacteristic
55#336×C139C2211yescharacteristic
56#336×C139C2211yescharacteristic
57#336×C139C2211yescharacteristic
58#336×C139C2211yescharacteristic
59C22×D4×C139C2×C411yescharacteristic
60C22×D4×C139C2×C411yescharacteristic
61C22×D4×C139C2×C411yescharacteristic
62C23×C4×C139C2311yescharacteristic
63C23×C4×C139C2311yescharacteristic
64C23×C4×C139C2311yescharacteristic
65C2×M16×C139—41no—
66C2×M16×C139—41no—
67C2×M16×C139—41no—
68C22×C8×C139—41no—
69C22×C8×C139—41no—
70C22×C8×C139—41no—
71C22×C8×C139C2311yescharacteristic
72C22×C8×C139C2311yescharacteristic
73C22×C8×C139C2311yescharacteristic
74C22×C8×C139C2311yescharacteristic
75C22×C8×C139C2311yescharacteristic
76C22×C8×C139C2311yescharacteristic
77C22×C8×C139C2311yescharacteristic
78C22×C8×C139C2311yescharacteristic
79C4×D4×C139—41no—
80C4×D4×C139—41no—
81C4×D4×C139—41no—
82C4×D4×C139—41no—
83C4×D4×C139—41no—
84C4×D4×C139—41no—
85#117×C139—41no—
86#117×C139—41no—
87C2×C4⋊C4×C139C2×C411yescharacteristic
88C2×C4⋊C4×C139C2×C411yescharacteristic
89C2×C4⋊C4×C139C2×C411yescharacteristic
90C2×C4⋊C4×C139C2×C411yescharacteristic
91C2×C4⋊C4×C139C2×C411yescharacteristic
92C2×C4⋊C4×C139C2×C411yescharacteristic
93C2×C4⋊C4×C139C2×C411yescharacteristic
94C2×C22⋊C4×C139C2×C411yescharacteristic
95C2×C22⋊C4×C139C2×C411yescharacteristic
96C2×C22⋊C4×C139C2×C411yescharacteristic
97C2×C22⋊C4×C139C2×C411yescharacteristic
98C2×C22⋊C4×C139C2×C411yescharacteristic
99C2×C22⋊C4×C139C2×C411yescharacteristic
100C2×C22⋊C4×C139C2×C411yescharacteristic
101C2×C22⋊C4×C139C2×C411yescharacteristic
102C2×C22⋊C4×C139C2×C411yescharacteristic
103C2×C22⋊C4×C139C2×C411yescharacteristic
104C2×C22⋊C4×C139C2×C411yescharacteristic
105C2×C22⋊C4×C139C2×C411yescharacteristic
106C2×C42×C139C2311yescharacteristic
107C2×C42×C139C2311yescharacteristic
108C2×C42×C139C2311yescharacteristic
109C2×C42×C139C2311yescharacteristic
110C4⋊C8×C139—41no—
111C4⋊C8×C139—41no—
112C4⋊C8×C139—41no—
113C4⋊C8×C139—41no—
114C22⋊C8×C139—41no—
115C22⋊C8×C139—41no—
116C22⋊C8×C139—41no—
117C22⋊C8×C139—41no—
118C22⋊C8×C139—41no—
119C22⋊C8×C139—41no—
120C22⋊C8×C139—41no—
121C22⋊C8×C139—41no—
122C22⋊C8×C139—41no—
123C22⋊C8×C139—41no—
124#97×C139—41no—
125#97×C139—41no—
126#95×C139C2×C411yescharacteristic
127#95×C139C2×C411yescharacteristic
128#95×C139C2×C411yescharacteristic
129#95×C139C2×C411yescharacteristic
130#95×C139C2×C411yescharacteristic
131#95×C139C2×C411yescharacteristic
132C24×C139C22×C411yescharacteristic
133C24×C139C22×C411yescharacteristic
134C24×C139C22×C411yescharacteristic
135C2×D4×C139—22no—
136C2×D4×C139—22no—
137C2×D4×C139—41no—
138C2×D4×C139—41no—
139C2×D4×C139—41no—
140C2×D4×C139—41no—
141C2×D4×C139—41no—
142C2×D4×C139—41no—
143C2×D4×C139—41no—
144C22×C4×C139—21no—
145C22×C4×C139—21no—
146C22×C4×C139—21no—
147C22×C4×C139—21no—
148C22×C4×C139—21no—
149C22×C4×C139—21no—
150C22×C4×C139—21no—
151C22×C4×C139—21no—
152C22×C4×C139—21no—
153C22×C4×C139—21no—
154C22×C4×C139—21no—
155C22×C4×C139—21no—
156C22×C4×C139—21no—
157C22×C4×C139—21no—
158C22×C4×C139—21no—
159C22×C4×C139—21no—
160C22×C4×C139—21no—
161C22×C4×C139—21no—
162C22×C4×C139C22×C411yescharacteristic
163C22×C4×C139C22×C411yescharacteristic
164C22×C4×C139C22×C411yescharacteristic
165C22×C4×C139C22×C411yescharacteristic
166C22×C4×C139C22×C411yescharacteristic
167C22×C4×C139C22×C411yescharacteristic
168C22×C4×C139C22×C411yescharacteristic
169C22×C4×C139C22×C411yescharacteristic
170C22×C4×C139C22×C411yescharacteristic
171C22×C4×C139C22×C411yescharacteristic
172C22×C4×C139C22×C411yescharacteristic
173C22×C4×C139C2411yescharacteristic
174M16×C139—44no—
175C2×C8×C139—21no—
176C2×C8×C139—21no—
177C2×C8×C139—21no—
178C2×C8×C139—21no—
179C2×C8×C139—21no—
180C2×C8×C139—21no—
181C2×C8×C139—21no—
182C2×C8×C139—21no—
183C2×C8×C139—21no—
184C2×C8×C139—21no—
185C2×C8×C139—21no—
186C2×C8×C139—21no—
187C2×C8×C139—21no—
188C2×C8×C139—21no—
189C2×C8×C139—21no—
190C2×C8×C139—21no—
191C2×C8×C139—21no—
192C2×C8×C139—21no—
193C2×C8×C139—21no—
194C2×C8×C139—21no—
195C2×C8×C139—21no—
196C2×C8×C139—21no—
197C2×C8×C139—21no—
198C2×C8×C139—21no—
199C2×C8×C139—44no—
200C4⋊C4×C139—41no—
201C4⋊C4×C139—41no—
202C4⋊C4×C139—41no—
203C4⋊C4×C139—41no—
204C4⋊C4×C139—41no—
205C4⋊C4×C139—41no—
206C4⋊C4×C139—41no—
207C22⋊C4×C139—22no—
208C22⋊C4×C139—41no—
209C22⋊C4×C139—41no—
210C22⋊C4×C139—41no—
211C22⋊C4×C139—41no—
212C22⋊C4×C139—41no—
213C22⋊C4×C139—41no—
214C22⋊C4×C139—41no—
215C22⋊C4×C139—41no—
216C22⋊C4×C139—41no—
217C22⋊C4×C139—41no—
218C22⋊C4×C139—41no—
219C42×C139—21no—
220C42×C139—21no—
221C42×C139—21no—
222C42×C139—21no—
223C42×C139—21no—
224C42×C139—21no—
225C42×C139—21no—
226C42×C139—21no—
227C23×C139—21no—
228C23×C139—21no—
229C23×C139—21no—
230C23×C139—21no—
231C23×C139—21no—
232C23×C139—21no—
233C23×C139—21no—
234C23×C139—21no—
235C23×C139—21no—
236C23×C139—21no—
237C23×C139—21no—
238C23×C139—21no—
239C23×C139—21no—
240C23×C139—21no—
241C23×C139—21no—
242C23×C139—21no—
243C23×C139—21no—
244C23×C139—21no—
245C23×C139—21no—
246C23×C139—21no—
247C23×C139#13112yes—
248C23×C139C23×C411yescharacteristic
249D4×C139—44no—
250D4×C139—44no—
251D4×C139—44no—
252C2×C4×C139—21no—
253C2×C4×C139—21no—
254C2×C4×C139—21no—
255C2×C4×C139—21no—
256C2×C4×C139—21no—
257C2×C4×C139—21no—
258C2×C4×C139—21no—
259C2×C4×C139—21no—
260C2×C4×C139—21no—
261C2×C4×C139—21no—
262C2×C4×C139—21no—
263C2×C4×C139—21no—
264C2×C4×C139—21no—
265C2×C4×C139—21no—
266C2×C4×C139—21no—
267C2×C4×C139—21no—
268C2×C4×C139—21no—
269C2×C4×C139—21no—
270C2×C4×C139—21no—
271C2×C4×C139—21no—
272C2×C4×C139—21no—
273C2×C4×C139—21no—
274C2×C4×C139—21no—
275C2×C4×C139—21no—
276C2×C4×C139—21no—
277C2×C4×C139—21no—
278C2×C4×C139—21no—
279C2×C4×C139—21no—
280C2×C4×C139—21no—
281C2×C4×C139—21no—
282C2×C4×C139—21no—
283C2×C4×C139—21no—
284C2×C4×C139—21no—
285C2×C4×C139—41no—
286C2×C4×C139—41no—
287C2×C4×C139—41no—
288C2×C4×C139—41no—
289C2×C4×C139—41no—
290C2×C4×C139—41no—
291C2×C4×C139—41no—
292C2×C4×C139—41no—
293C2×C4×C139—41no—
294C2×C4×C139—41no—
295C2×C4×C139—41no—
296C2×C4×C139—41no—
297C2×C4×C139H(5,𝔽2)11yescharacteristic
298C2×C4×C139H(5,𝔽2)11yescharacteristic
299C2×C4×C139H(5,𝔽2)11yescharacteristic
300C2×C4×C139H(5,𝔽2)11yescharacteristic
301C2×C4×C139H(5,𝔽2)11yescharacteristic
302C2×C4×C1392−1+411yescharacteristic
303C8×C139—41no—
304C8×C139—41no—
305C8×C139—41no—
306C8×C139—41no—
307C8×C139—41no—
308C8×C139—41no—
309C8×C139—41no—
310C8×C139—41no—
311C22×C139—22no—
312C22×C139—22no—
313C22×C139—22no—
314C22×C139—41no—
315C22×C139—41no—
316C22×C139—41no—
317C22×C139—41no—
318C22×C139—41no—
319C22×C139—41no—
320C22×C139—41no—
321C22×C139—41no—
322C22×C139—41no—
323C22×C139—41no—
324C22×C139—41no—
325C22×C139—41no—
326C22×C139—41no—
327C22×C139—41no—
328C22×C139—41no—
329C22×C139—41no—
330C22×C139—41no—
331C22×C139—41no—
332C22×C139#51811yescharacteristic
333C22×C139#51811yescharacteristic
334C22×C139#52011yescharacteristic
335C22×C139C2×#13111yescharacteristic
336C22×C139#56811yescharacteristic
337C22×C139#56811yescharacteristic
338C22×C139#56811yescharacteristic
339C4×C139—41no—
340C4×C139—41no—
341C4×C139—41no—
342C4×C139—41no—
343C4×C139—41no—
344C4×C139—41no—
345C4×C139—41no—
346C4×C139—41no—
347C4×C139—41no—
348C4×C139—41no—
349C4×C139—41no—
350C4×C139#56011yescharacteristic
351C4×C139#56011yescharacteristic
352C4×C139#56211yescharacteristic
353C4×C139#56211yescharacteristic
354C2×C139—42no—
355C2×C139—81no—
356C2×C139—81no—
357C2×C139#237711yescharacteristic
358C2×C139#297611yescharacteristic
359C2×C139#297611yescharacteristic
360C2×C139#297811yescharacteristic
361C2×C139#298011yescharacteristic
362C2×C139#299211yescharacteristic
363C2×C139#299511yescharacteristic
364#23335C13911yesmaximal, characteristic, direct product factor, Sylow
365C139#2333511yescharacteristic, direct product factor, Sylow
366#2392C2×C13911yescharacteristic
367#1955C2×C13911yescharacteristic, complemented
368#1955C2×C13911yescharacteristic, complemented
369#1924C2×C13911yescharacteristic, complemented
370#1924C2×C13911yescharacteristic, complemented
371#1917C2×C13911yescharacteristic, complemented
372#1917C2×C13911yescharacteristic, complemented
373#1870C2×C13911yescharacteristic, complemented
374#1870C2×C13911yescharacteristic, complemented
375#1869C2×C13911yescharacteristic, complemented
376#1869C2×C13911yescharacteristic, complemented
377#1851C2×C13911yescharacteristic, complemented
378#1850C2×C13911yescharacteristic, complemented
379#1818C2×C13911yescharacteristic, complemented
380#1798C2×C13911yescharacteristic, complemented
381C22×M16C22×C13911yescharacteristic
382C23×C8C22×C13911yescharacteristic
383C2×C4×D4C22×C13911yescharacteristic
384C2×C4×D4C22×C13911yescharacteristic
385C2×C4×D4C22×C13911yescharacteristic
386C2×#117C22×C13911yescharacteristic
387C2×C4⋊C8C22×C13911yescharacteristic
388C2×C4⋊C8C22×C13911yescharacteristic
389C2×C4⋊C8C22×C13911yescharacteristic
390C2×C4⋊C8C22×C13911yescharacteristic
391C2×C22⋊C8C22×C13911yescharacteristic
392C2×C22⋊C8C22×C13911yescharacteristic
393C2×C22⋊C8C22×C13911yescharacteristic
394C2×C22⋊C8C22×C13911yescharacteristic
395C2×C22⋊C8C22×C13911yescharacteristic
396C2×C22⋊C8C22×C13911yescharacteristic
397C2×C22⋊C8C22×C13911yescharacteristic
398C2×C22⋊C8C22×C13911yescharacteristic
399C2×C22⋊C8C22×C13911yescharacteristic
400C2×C22⋊C8C22×C13911yescharacteristic
401C2×#97C22×C13911yescharacteristic
402C2×#97C22×C13911yescharacteristic
403#398C4×C13911yescharacteristic
404#397C4×C13911yescharacteristic
405#396C4×C13911yescharacteristic
406#396C4×C13911yescharacteristic
407#394C4×C13911yescharacteristic
408#394C4×C13911yescharacteristic
409#394C4×C13911yescharacteristic
410#392C4×C13911yescharacteristic
411C4×C4⋊C4C22×C13911yescharacteristic
412C4×C22⋊C4C22×C13911yescharacteristic
413C4×C22⋊C4C22×C13911yescharacteristic
414#336C22×C13911yescharacteristic
415#336C22×C13911yescharacteristic
416#336C22×C13911yescharacteristic
417#336C22×C13911yescharacteristic
418#336C22×C13911yescharacteristic
419#336C22×C13911yescharacteristic
420#336C22×C13911yescharacteristic
421#336C22×C13911yescharacteristic
422#336C22×C13911yescharacteristic
423#336C22×C13911yescharacteristic
424C22×D4C2×C4×C13911yescharacteristic
425C22×D4C2×C4×C13911yescharacteristic
426C22×D4C2×C4×C13911yescharacteristic
427C23×C4C23×C13911yescharacteristic
428C23×C4C23×C13911yescharacteristic
429C23×C4C23×C13911yescharacteristic
430C2×M16—41no—
431C2×M16—41no—
432C2×M16—41no—
433C22×C8—41no—
434C22×C8—41no—
435C22×C8—41no—
436C22×C8C23×C13911yescharacteristic
437C22×C8C23×C13911yescharacteristic
438C22×C8C23×C13911yescharacteristic
439C22×C8C23×C13911yescharacteristic
440C22×C8C23×C13911yescharacteristic
441C22×C8C23×C13911yescharacteristic
442C22×C8C23×C13911yescharacteristic
443C22×C8C23×C13911yescharacteristic
444C4×D4—41no—
445C4×D4—41no—
446C4×D4—41no—
447C4×D4—41no—
448C4×D4—41no—
449C4×D4—41no—
450#117—41no—
451#117—41no—
452C2×C4⋊C4C2×C4×C13911yescharacteristic
453C2×C4⋊C4C2×C4×C13911yescharacteristic
454C2×C4⋊C4C2×C4×C13911yescharacteristic
455C2×C4⋊C4C2×C4×C13911yescharacteristic
456C2×C4⋊C4C2×C4×C13911yescharacteristic
457C2×C4⋊C4C2×C4×C13911yescharacteristic
458C2×C4⋊C4C2×C4×C13911yescharacteristic
459C2×C22⋊C4C2×C4×C13911yescharacteristic
460C2×C22⋊C4C2×C4×C13911yescharacteristic
461C2×C22⋊C4C2×C4×C13911yescharacteristic
462C2×C22⋊C4C2×C4×C13911yescharacteristic
463C2×C22⋊C4C2×C4×C13911yescharacteristic
464C2×C22⋊C4C2×C4×C13911yescharacteristic
465C2×C22⋊C4C2×C4×C13911yescharacteristic
466C2×C22⋊C4C2×C4×C13911yescharacteristic
467C2×C22⋊C4C2×C4×C13911yescharacteristic
468C2×C22⋊C4C2×C4×C13911yescharacteristic
469C2×C22⋊C4C2×C4×C13911yescharacteristic
470C2×C22⋊C4C2×C4×C13911yescharacteristic
471C2×C42C23×C13911yescharacteristic
472C2×C42C23×C13911yescharacteristic
473C2×C42C23×C13911yescharacteristic
474C2×C42C23×C13911yescharacteristic
475C4⋊C8—41no—
476C4⋊C8—41no—
477C4⋊C8—41no—
478C4⋊C8—41no—
479C22⋊C8—41no—
480C22⋊C8—41no—
481C22⋊C8—41no—
482C22⋊C8—41no—
483C22⋊C8—41no—
484C22⋊C8—41no—
485C22⋊C8—41no—
486C22⋊C8—41no—
487C22⋊C8—41no—
488C22⋊C8—41no—
489#97—41no—
490#97—41no—
491#95C2×C4×C13911yescharacteristic
492#95C2×C4×C13911yescharacteristic
493#95C2×C4×C13911yescharacteristic
494#95C2×C4×C13911yescharacteristic
495#95C2×C4×C13911yescharacteristic
496#95C2×C4×C13911yescharacteristic
497C24C22×C4×C13911yescharacteristic
498C24C22×C4×C13911yescharacteristic
499C24C22×C4×C13911yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—41no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4C22×C4×C13911yescharacteristic
528C22×C4C22×C4×C13911yescharacteristic
529C22×C4C22×C4×C13911yescharacteristic
530C22×C4C22×C4×C13911yescharacteristic
531C22×C4C22×C4×C13911yescharacteristic
532C22×C4C22×C4×C13911yescharacteristic
533C22×C4C22×C4×C13911yescharacteristic
534C22×C4C22×C4×C13911yescharacteristic
535C22×C4C22×C4×C13911yescharacteristic
536C22×C4C22×C4×C13911yescharacteristic
537C22×C4C22×C4×C13911yescharacteristic
538C22×C4C24×C13911yescharacteristic
539M16—44no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—44no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—41no—
572C22⋊C4—22no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—41no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23#131×C13912yes—
613C23C23×C4×C13911yescharacteristic
614D4—44no—
615D4—44no—
616D4—44no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4H(5,𝔽2)×C13911yescharacteristic
663C2×C4H(5,𝔽2)×C13911yescharacteristic
664C2×C4H(5,𝔽2)×C13911yescharacteristic
665C2×C4H(5,𝔽2)×C13911yescharacteristic
666C2×C4H(5,𝔽2)×C13911yescharacteristic
667C2×C42−1+4×C13911yescharacteristic
668C8—41no—
669C8—41no—
670C8—41no—
671C8—41no—
672C8—41no—
673C8—41no—
674C8—41no—
675C8—41no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22#518×C13911yescharacteristic
698C22#518×C13911yescharacteristic
699C22#520×C13911yescharacteristic
700C22C2×#131×C13911yescharacteristic
701C22#568×C13911yescharacteristic
702C22#568×C13911yescharacteristic
703C22#568×C13911yescharacteristic
704C4—41no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4#560×C13911yescharacteristic
716C4#560×C13911yescharacteristic
717C4#562×C13911yescharacteristic
718C4#562×C13911yescharacteristic
719C2—42no—
720C2—81no—
721C2—81no—
722C2#2377×C13911yescharacteristic
723C2#2976×C13911yescharacteristic
724C2#2976×C13911yescharacteristic
725C2#2978×C13911yescharacteristic
726C2#2980×C13911yescharacteristic
727C2#2992×C13911yescharacteristic
728C2#2995×C13911yescharacteristic
subgroupG/H
centerC22×C4×C139C24
commutatorC23C23×C4×C139
Frattini, cosocleC22×C4C24×C139
socleC23×C139C23×C4
prime radical#392×C139C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #1955×C139C2semidirect
3. #1955×C139C2semidirect
4. #1924×C139C2semidirect
5. #1924×C139C2semidirect
6. #1917×C139C2semidirect
7. #1917×C139C2semidirect
8. #1870×C139C2semidirect
9. #1870×C139C2semidirect
10. #1869×C139C2semidirect
11. #1869×C139C2semidirect
12. #1851×C139C2semidirect
13. #1850×C139C2semidirect
14. #1818×C139C2semidirect
15. #1798×C139C2semidirect
364. #23335C139direct (N × H)
365. C139#23335direct (N × H)
367. #1955C2×C139semidirect
368. #1955C2×C139semidirect
369. #1924C2×C139semidirect
370. #1924C2×C139semidirect
371. #1917C2×C139semidirect
372. #1917C2×C139semidirect
373. #1870C2×C139semidirect
374. #1870C2×C139semidirect
375. #1869C2×C139semidirect
376. #1869C2×C139semidirect
377. #1851C2×C139semidirect
378. #1850C2×C139semidirect
379. #1818C2×C139semidirect
380. #1798C2×C139semidirect

Maximal subgroups

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

subgroupindex
#2392×C1392
#1955×C1392
#1924×C1392
#1917×C1392
#1870×C1392
#1869×C1392
#1851×C1392
#1850×C1392
#1818×C1392
#1798×C1392
#23335139