Finite Group Databasebeta

← C139×#26726 #48021322

Subgroups — C139×#26726 #48021322

Order 35584.

764 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2492×C139C211yesmaximal, characteristic
2#2360×C139C211yesmaximal, characteristic
3#2056×C139C211yesmaximal, characteristic, complemented
4#2036×C139C211yesmaximal, characteristic
5#2024×C139C211yesmaximal, characteristic, complemented
6#2001×C139C211yesmaximal, characteristic
7#1987×C139C211yesmaximal, characteristic, complemented
8#1933×C139C211yesmaximal, characteristic, complemented
9#1928×C139C211yesmaximal, characteristic, complemented
10#1923×C139C211yesmaximal, characteristic
11#1921×C139C211yesmaximal, characteristic, complemented
12#1878×C139C211yesmaximal, characteristic, complemented
13#1872×C139C211yesmaximal, characteristic
14#1824×C139C211yesmaximal, characteristic
15C4×#103×C139C211yesmaximal, characteristic, complemented
16C22×Q16×C139C2211yescharacteristic
17C2×C4⋊Q8×C139C2211yescharacteristic
18C2×C22⋊Q8×C139C2211yescharacteristic
19C2×C22⋊Q8×C139C2211yescharacteristic
20C2×C4×Q8×C139C2211yescharacteristic
21C22×C4⋊C4×C139C2211yescharacteristic
22C2×#107×C139C2211yescharacteristic
23C2×C4⋊C8×C139C2211yescharacteristic
24C2×#103×C139C2211yescharacteristic
25C2×#103×C139C2211yescharacteristic
26C2×#103×C139C2211yescharacteristic
27C2×#103×C139C2211yescharacteristic
28C2×#103×C139C2211yescharacteristic
29C2×#103×C139C2211yescharacteristic
30C2×C22⋊C8×C139C2211yescharacteristic
31C2×C22⋊C8×C139C2211yescharacteristic
32C2×C4×C8×C139C2211yescharacteristic
33#400×C139—21no—
34#393×C139—21no—
35#391×C139—21no—
36#391×C139C2211yescharacteristic
37#391×C139C2211yescharacteristic
38#391×C139C2211yescharacteristic
39#389×C139—21no—
40#389×C139C2211yescharacteristic
41#388×C139—21no—
42#387×C139—21no—
43#385×C139—21no—
44#380×C139C2211yescharacteristic
45C4×C4⋊C4×C139C2211yescharacteristic
46C4×C4⋊C4×C139C2211yescharacteristic
47C4×C22⋊C4×C139—21no—
48C4×C22⋊C4×C139C2211yescharacteristic
49#340×C139C2211yescharacteristic
50#340×C139C2211yescharacteristic
51#340×C139C2211yescharacteristic
52#340×C139C2211yescharacteristic
53#340×C139C2211yescharacteristic
54#340×C139C2211yescharacteristic
55#340×C139C2211yescharacteristic
56#340×C139C2211yescharacteristic
57#336×C139C2211yescharacteristic
58#336×C139C2211yescharacteristic
59C22×Q8×C139—21no—
60C22×Q8×C139C2311yescharacteristic
61C22×Q8×C139C2311yescharacteristic
62C23×C4×C139—21no—
63C23×C4×C139C2311yescharacteristic
64C2×Q16×C139—22no—
65C2×Q16×C139—41no—
66C2×Q16×C139—41no—
67C22×C8×C139C2311yescharacteristic
68C22×C8×C139C2311yescharacteristic
69C22×C8×C139C2311yescharacteristic
70C22×C8×C139C2311yescharacteristic
71C4⋊Q8×C139—22no—
72C4⋊Q8×C139—41no—
73C22⋊Q8×C139—22no—
74C22⋊Q8×C139—22no—
75C22⋊Q8×C139—22no—
76C22⋊Q8×C139—41no—
77C4×Q8×C139—22no—
78C4×Q8×C139—41no—
79C2×C4⋊C4×C139—21no—
80C2×C4⋊C4×C139—22no—
81C2×C4⋊C4×C139—21no—
82C2×C4⋊C4×C139—21no—
83C2×C4⋊C4×C139—21no—
84C2×C4⋊C4×C139—21no—
85C2×C4⋊C4×C139—21no—
86C2×C4⋊C4×C139—41no—
87C2×C4⋊C4×C139C2311yescharacteristic
88C2×C4⋊C4×C139C2311yescharacteristic
89C2×C4⋊C4×C139C2311yescharacteristic
90C2×C4⋊C4×C139C2311yescharacteristic
91C2×C4⋊C4×C139C2311yescharacteristic
92C2×C4⋊C4×C139C2311yescharacteristic
93C2×C22⋊C4×C139—21no—
94C2×C22⋊C4×C139—21no—
95C2×C22⋊C4×C139—21no—
96C2×C22⋊C4×C139D411yescharacteristic
97C2×C22⋊C4×C139D411yescharacteristic
98C2×C42×C139—21no—
99C2×C42×C139—21no—
100C2×C42×C139—21no—
101C2×C42×C139C2311yescharacteristic
102C2×C42×C139C2311yescharacteristic
103#107×C139—22no—
104C4⋊C8×C139—41no—
105#103×C139—22no—
106#103×C139—22no—
107#103×C139—22no—
108#103×C139—22no—
109#103×C139—41no—
110#103×C139—41no—
111C22⋊C8×C139—41no—
112C22⋊C8×C139—41no—
113C4×C8×C139—41no—
114#95×C139—21no—
115#95×C139—21no—
116#95×C139—21no—
117#95×C139—21no—
118#95×C139—21no—
119#95×C139—21no—
120#95×C139—21no—
121#95×C139—21no—
122#95×C139—21no—
123#95×C139—21no—
124#95×C139D411yescharacteristic
125#95×C139D411yescharacteristic
126C24×C139C2×D411yescharacteristic
127C2×Q8×C139—21no—
128C2×Q8×C139—21no—
129C2×Q8×C139—21no—
130C2×Q8×C139—21no—
131C2×Q8×C139—21no—
132C2×Q8×C139—21no—
133C2×Q8×C139—21no—
134C2×Q8×C139—21no—
135C2×Q8×C139—21no—
136C2×Q8×C139—21no—
137C2×Q8×C139—21no—
138C2×Q8×C139—42no—
139C2×Q8×C139—42no—
140C2×Q8×C139—81no—
141C2×Q8×C139#4112yes—
142C22×C4×C139—21no—
143C22×C4×C139—21no—
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—42no—
157C22×C4×C139—42no—
158C22×C4×C139—81no—
159C22×C4×C139C2×D411yescharacteristic
160C22×C4×C139C2×D411yescharacteristic
161C22×C4×C139C2×D411yescharacteristic
162C22×C4×C139C2×D411yescharacteristic
163C22×C4×C139C2×D411yescharacteristic
164C22×C4×C139C2411yescharacteristic
165Q16×C139—44no—
166C2×C8×C139—21no—
167C2×C8×C139—21no—
168C2×C8×C139—21no—
169C2×C8×C139—21no—
170C2×C8×C139—21no—
171C2×C8×C139—21no—
172C2×C8×C139—21no—
173C2×C8×C139—21no—
174C2×C8×C139—21no—
175C2×C8×C139—21no—
176C2×C8×C139—21no—
177C2×C8×C139—21no—
178C4⋊C4×C139—24no—
179C4⋊C4×C139—21no—
180C4⋊C4×C139—21no—
181C4⋊C4×C139—21no—
182C4⋊C4×C139—21no—
183C4⋊C4×C139—21no—
184C4⋊C4×C139—21no—
185C4⋊C4×C139—21no—
186C4⋊C4×C139—21no—
187C4⋊C4×C139—21no—
188C4⋊C4×C139—42no—
189C4⋊C4×C139—42no—
190C4⋊C4×C139—42no—
191C4⋊C4×C139—42no—
192C4⋊C4×C139—81no—
193C4⋊C4×C139#4112yes—
194C4⋊C4×C139#4112yes—
195C4⋊C4×C139#4112yes—
196C22⋊C4×C139—24no—
197C22⋊C4×C139—41no—
198C22⋊C4×C139—42no—
199C22⋊C4×C139—81no—
200C22⋊C4×C139Q1614yescomplemented
201C42×C139—21no—
202C42×C139—21no—
203C42×C139—21no—
204C42×C139—21no—
205C42×C139—42no—
206C42×C139—81no—
207C42×C139—81no—
208C23×C139—21no—
209C23×C139—21no—
210C23×C139—21no—
211C23×C139—21no—
212C23×C139—21no—
213C23×C139—21no—
214C23×C139C2×Q1612yes—
215C23×C139C22×D411yescharacteristic
216Q8×C139—22no—
217Q8×C139—22no—
218Q8×C139—41no—
219Q8×C139—41no—
220Q8×C139—41no—
221Q8×C139—41no—
222Q8×C139—41no—
223Q8×C139—41no—
224Q8×C139—84no—
225C2×C4×C139—21no—
226C2×C4×C139—21no—
227C2×C4×C139—21no—
228C2×C4×C139—21no—
229C2×C4×C139—22no—
230C2×C4×C139—22no—
231C2×C4×C139—21no—
232C2×C4×C139—21no—
233C2×C4×C139—21no—
234C2×C4×C139—22no—
235C2×C4×C139—22no—
236C2×C4×C139—21no—
237C2×C4×C139—21no—
238C2×C4×C139—21no—
239C2×C4×C139—21no—
240C2×C4×C139—21no—
241C2×C4×C139—21no—
242C2×C4×C139—41no—
243C2×C4×C139—41no—
244C2×C4×C139—41no—
245C2×C4×C139—41no—
246C2×C4×C139—41no—
247C2×C4×C139—41no—
248C2×C4×C139—41no—
249C2×C4×C139—41no—
250C2×C4×C139—41no—
251C2×C4×C139—41no—
252C2×C4×C139—41no—
253C2×C4×C139—41no—
254C2×C4×C139—41no—
255C2×C4×C139—41no—
256C2×C4×C139—41no—
257C2×C4×C139—41no—
258C2×C4×C139—41no—
259C2×C4×C139—41no—
260C2×C4×C139—41no—
261C2×C4×C139—41no—
262C2×C4×C139—41no—
263C2×C4×C139—41no—
264C2×C4×C139—41no—
265C2×C4×C139—41no—
266C2×C4×C139—84no—
267C2×C4×C139C2×Q1612yes—
268C2×C4×C139C2×Q1612yes—
269C2×C4×C139C2×#4111yescharacteristic
270C2×C4×C139C2×#4111yescharacteristic
271C2×C4×C139C2×#4111yescharacteristic
272C2×C4×C139C2×#4111yescharacteristic
273C2×C4×C139H(5,𝔽2)11yescharacteristic
274C2×C4×C139H(5,𝔽2)11yescharacteristic
275C8×C139—41no—
276C8×C139—41no—
277C8×C139—41no—
278C8×C139—41no—
279C22×C139—22no—
280C22×C139—22no—
281C22×C139—22no—
282C22×C139—41no—
283C22×C139—41no—
284C22×C139—41no—
285C22×C139—41no—
286C22×C139#52511yescharacteristic
287C22×C139#54611yescharacteristic
288C22×C139#54611yescharacteristic
289C22×C139C22×Q1611yescharacteristic
290C22×C139#57511yescharacteristic
291C22×C139#57711yescharacteristic
292C22×C139#57711yescharacteristic
293C4×C139—22no—
294C4×C139—22no—
295C4×C139—42no—
296C4×C139—41no—
297C4×C139—42no—
298C4×C139—41no—
299C4×C139—42no—
300C4×C139—41no—
301C4×C139—42no—
302C4×C139—81no—
303C4×C139—81no—
304C4×C139—81no—
305C4×C139—81no—
306C4×C139#52911yescharacteristic
307C4×C139#53811yescharacteristic
308C4×C139#55511yescharacteristic
309C4×C139#55911yescharacteristic
310C2×C139—42no—
311C2×C139#245911yescharacteristic
312C2×C139#310411yescharacteristic
313C2×C139#312511yescharacteristic
314C2×C139#329911yescharacteristic
315C2×C139#329911yescharacteristic
316C2×C139#331111yescharacteristic
317C2×C139#332311yescharacteristic
318#26726C13911yesmaximal, characteristic, direct product factor, Sylow
319C139#2672611yescharacteristic, direct product factor, Sylow
320#2492C2×C13911yescharacteristic
321#2360C2×C13911yescharacteristic
322#2056C2×C13911yescharacteristic, complemented
323#2036C2×C13911yescharacteristic
324#2024C2×C13911yescharacteristic, complemented
325#2001C2×C13911yescharacteristic
326#1987C2×C13911yescharacteristic, complemented
327#1933C2×C13911yescharacteristic, complemented
328#1928C2×C13911yescharacteristic, complemented
329#1923C2×C13911yescharacteristic
330#1921C2×C13911yescharacteristic, complemented
331#1878C2×C13911yescharacteristic, complemented
332#1872C2×C13911yescharacteristic
333#1824C2×C13911yescharacteristic
334C4×#103C2×C13911yescharacteristic, complemented
335C22×Q16C22×C13911yescharacteristic
336C2×C4⋊Q8C22×C13911yescharacteristic
337C2×C22⋊Q8C22×C13911yescharacteristic
338C2×C22⋊Q8C22×C13911yescharacteristic
339C2×C4×Q8C22×C13911yescharacteristic
340C22×C4⋊C4C22×C13911yescharacteristic
341C2×#107C22×C13911yescharacteristic
342C2×C4⋊C8C22×C13911yescharacteristic
343C2×#103C22×C13911yescharacteristic
344C2×#103C22×C13911yescharacteristic
345C2×#103C22×C13911yescharacteristic
346C2×#103C22×C13911yescharacteristic
347C2×#103C22×C13911yescharacteristic
348C2×#103C22×C13911yescharacteristic
349C2×C22⋊C8C22×C13911yescharacteristic
350C2×C22⋊C8C22×C13911yescharacteristic
351C2×C4×C8C22×C13911yescharacteristic
352#400—21no—
353#393—21no—
354#391—21no—
355#391C22×C13911yescharacteristic
356#391C22×C13911yescharacteristic
357#391C22×C13911yescharacteristic
358#389—21no—
359#389C22×C13911yescharacteristic
360#388—21no—
361#387—21no—
362#385—21no—
363#380C22×C13911yescharacteristic
364C4×C4⋊C4C22×C13911yescharacteristic
365C4×C4⋊C4C22×C13911yescharacteristic
366C4×C22⋊C4—21no—
367C4×C22⋊C4C22×C13911yescharacteristic
368#340C22×C13911yescharacteristic
369#340C22×C13911yescharacteristic
370#340C22×C13911yescharacteristic
371#340C22×C13911yescharacteristic
372#340C22×C13911yescharacteristic
373#340C22×C13911yescharacteristic
374#340C22×C13911yescharacteristic
375#340C22×C13911yescharacteristic
376#336C22×C13911yescharacteristic
377#336C22×C13911yescharacteristic
378C22×Q8—21no—
379C22×Q8C23×C13911yescharacteristic
380C22×Q8C23×C13911yescharacteristic
381C23×C4—21no—
382C23×C4C23×C13911yescharacteristic
383C2×Q16—22no—
384C2×Q16—41no—
385C2×Q16—41no—
386C22×C8C23×C13911yescharacteristic
387C22×C8C23×C13911yescharacteristic
388C22×C8C23×C13911yescharacteristic
389C22×C8C23×C13911yescharacteristic
390C4⋊Q8—22no—
391C4⋊Q8—41no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394C22⋊Q8—22no—
395C22⋊Q8—41no—
396C4×Q8—22no—
397C4×Q8—41no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4C23×C13911yescharacteristic
407C2×C4⋊C4C23×C13911yescharacteristic
408C2×C4⋊C4C23×C13911yescharacteristic
409C2×C4⋊C4C23×C13911yescharacteristic
410C2×C4⋊C4C23×C13911yescharacteristic
411C2×C4⋊C4C23×C13911yescharacteristic
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4D4×C13911yescharacteristic
416C2×C22⋊C4D4×C13911yescharacteristic
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—21no—
420C2×C42C23×C13911yescharacteristic
421C2×C42C23×C13911yescharacteristic
422#107—22no—
423C4⋊C8—41no—
424#103—22no—
425#103—22no—
426#103—22no—
427#103—22no—
428#103—41no—
429#103—41no—
430C22⋊C8—41no—
431C22⋊C8—41no—
432C4×C8—41no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95D4×C13911yescharacteristic
444#95D4×C13911yescharacteristic
445C24C2×D4×C13911yescharacteristic
446C2×Q8—21no—
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—81no—
460C2×Q8#41×C13912yes—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4C2×D4×C13911yescharacteristic
479C22×C4C2×D4×C13911yescharacteristic
480C22×C4C2×D4×C13911yescharacteristic
481C22×C4C2×D4×C13911yescharacteristic
482C22×C4C2×D4×C13911yescharacteristic
483C22×C4C24×C13911yescharacteristic
484Q16—44no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C4⋊C4—24no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—81no—
512C4⋊C4#41×C13912yes—
513C4⋊C4#41×C13912yes—
514C4⋊C4#41×C13912yes—
515C22⋊C4—24no—
516C22⋊C4—41no—
517C22⋊C4—42no—
518C22⋊C4—81no—
519C22⋊C4Q16×C13914yescomplemented
520C42—21no—
521C42—21no—
522C42—21no—
523C42—21no—
524C42—42no—
525C42—81no—
526C42—81no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23C2×Q16×C13912yes—
534C23C22×D4×C13911yescharacteristic
535Q8—22no—
536Q8—22no—
537Q8—41no—
538Q8—41no—
539Q8—41no—
540Q8—41no—
541Q8—41no—
542Q8—41no—
543Q8—84no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—84no—
586C2×C4C2×Q16×C13912yes—
587C2×C4C2×Q16×C13912yes—
588C2×C4C2×#41×C13911yescharacteristic
589C2×C4C2×#41×C13911yescharacteristic
590C2×C4C2×#41×C13911yescharacteristic
591C2×C4C2×#41×C13911yescharacteristic
592C2×C4H(5,𝔽2)×C13911yescharacteristic
593C2×C4H(5,𝔽2)×C13911yescharacteristic
594C8—41no—
595C8—41no—
596C8—41no—
597C8—41no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22#525×C13911yescharacteristic
606C22#546×C13911yescharacteristic
607C22#546×C13911yescharacteristic
608C22C22×Q16×C13911yescharacteristic
609C22#575×C13911yescharacteristic
610C22#577×C13911yescharacteristic
611C22#577×C13911yescharacteristic
612C4—22no—
613C4—22no—
614C4—41no—
615C4—42no—
616C4—41no—
617C4—42no—
618C4—42no—
619C4—41no—
620C4—42no—
621C4—81no—
622C4—81no—
623C4—81no—
624C4—81no—
625C4#529×C13911yescharacteristic
626C4#538×C13911yescharacteristic
627C4#555×C13911yescharacteristic
628C4#559×C13911yescharacteristic
629C2—42no—
630C2#2459×C13911yescharacteristic
631C2#3104×C13911yescharacteristic
632C2#3125×C13911yescharacteristic
633C2#3299×C13911yescharacteristic
634C2#3299×C13911yescharacteristic
635C2#3311×C13911yescharacteristic
636C2#3323×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radicalC24×C139C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C4×C22⋊C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2056×C139C2semidirect
5. #2024×C139C2semidirect
7. #1987×C139C2semidirect
8. #1933×C139C2semidirect
9. #1928×C139C2semidirect
11. #1921×C139C2semidirect
12. #1878×C139C2semidirect
15. C4×#103×C139C2semidirect
200. C22⋊C4×C139Q16semidirect
318. #26726C139direct (N × H)
319. C139#26726direct (N × H)
322. #2056C2×C139semidirect
324. #2024C2×C139semidirect
326. #1987C2×C139semidirect
327. #1933C2×C139semidirect
328. #1928C2×C139semidirect
330. #1921C2×C139semidirect
331. #1878C2×C139semidirect
334. C4×#103C2×C139semidirect
519. C22⋊C4Q16×C139semidirect

Maximal subgroups

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

subgroupindex
#2492×C1392
#2360×C1392
#2056×C1392
#2036×C1392
#2024×C1392
#2001×C1392
#1987×C1392
#1933×C1392
#1928×C1392
#1923×C1392
#1921×C1392
#1878×C1392
#1872×C1392
#1824×C1392
C4×#103×C1392
#26726139