Finite Group Databasebeta

← C137×#13896 #46863282

Subgroups — C137×#13896 #46863282

Order 35072.

1962 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#385×C137C212yesmaximal
2C2×#382×C137C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊C4×C137C211yesmaximal, characteristic
4C22×#95×C137C211yesmaximal, characteristic
5#1442×C137C212yesmaximal, complemented
6#1442×C137C212yesmaximal, complemented
7C4⋊#95×C137C211yesmaximal, characteristic, complemented
8#1434×C137C211yesmaximal, characteristic, complemented
9#1434×C137C211yesmaximal, characteristic, complemented
10C22⋊#95×C137C211yesmaximal, characteristic
11C22⋊#95×C137C212yesmaximal
12C24×C4×C137C2212yes—
13C24×C4×C137C2211yescharacteristic
14C22×C4⋊C4×C137C2212yes—
15C22×C4⋊C4×C137C2212yes—
16C22×C22⋊C4×C137C2212yes—
17C22×C22⋊C4×C137C2211yescharacteristic
18C22×C22⋊C4×C137C2211yescharacteristic
19C22×C42×C137C2211yescharacteristic
20C22×C42×C137C2211yescharacteristic
21#385×C137—28no—
22#382×C137—24no—
23C4×C22⋊C4×C137C418yescomplemented
24C2×#95×C137—24no—
25C2×#95×C137C2211yescharacteristic
26C2×#95×C137C2212yes—
27C2×#95×C137C2212yes—
28C2×#95×C137C2212yes—
29C2×#95×C137C2211yescharacteristic
30C2×#95×C137C2212yes—
31C2×#95×C137C2211yescharacteristic
32C2×#95×C137C2212yes—
33C2×#95×C137C2212yes—
34C2×#95×C137C2212yes—
35C2×#95×C137C2212yes—
36C2×#95×C137C2211yescharacteristic
37C2×#95×C137C2211yescharacteristic
38C2×#95×C137C2211yescharacteristic
39C25×C137C2311yescharacteristic
40C23×C4×C137—24no—
41C23×C4×C137—24no—
42C23×C4×C137—24no—
43C23×C4×C137—22no—
44C23×C4×C137—24no—
45C23×C4×C137—22no—
46C23×C4×C137—24no—
47C23×C4×C137—24no—
48C23×C4×C137—42no—
49C23×C4×C137—42no—
50C23×C4×C137—42no—
51C23×C4×C137C2×C414yes—
52C23×C4×C137C2312yes—
53C23×C4×C137C2312yes—
54C23×C4×C137C2311yescharacteristic
55C23×C4×C137C2311yescharacteristic
56C23×C4×C137C2311yescharacteristic
57C23×C4×C137C2312yes—
58C23×C4×C137C2312yes—
59C23×C4×C137C2311yescharacteristic
60C23×C4×C137C2311yescharacteristic
61C23×C4×C137C2311yescharacteristic
62C2×C4⋊C4×C137—24no—
63C2×C4⋊C4×C137—24no—
64C2×C4⋊C4×C137—24no—
65C2×C4⋊C4×C137—24no—
66C2×C4⋊C4×C137—42no—
67C2×C4⋊C4×C137—42no—
68C2×C22⋊C4×C137—24no—
69C2×C22⋊C4×C137—24no—
70C2×C22⋊C4×C137—24no—
71C2×C22⋊C4×C137—24no—
72C2×C22⋊C4×C137C2×C414yes—
73C2×C22⋊C4×C137C2×C414yes—
74C2×C22⋊C4×C137D414yes—
75C2×C22⋊C4×C137Q814yes—
76C2×C42×C137—22no—
77C2×C42×C137—22no—
78C2×C42×C137—42no—
79C2×C42×C137C2×C414yescomplemented
80C2×C42×C137C2×C414yescomplemented
81#95×C137—24no—
82#95×C137—22no—
83#95×C137—24no—
84#95×C137—22no—
85#95×C137—24no—
86#95×C137—24no—
87#95×C137—24no—
88#95×C137—22no—
89#95×C137—42no—
90#95×C137—42no—
91#95×C137—42no—
92#95×C137C2×C414yescomplemented
93#95×C137C2×C414yescomplemented
94#95×C137D414yes—
95C24×C137—21no—
96C24×C137—21no—
97C24×C137—22no—
98C24×C137—22no—
99C24×C137—21no—
100C24×C137—21no—
101C24×C137C22×C412yes—
102C24×C137C2×D412yes—
103C24×C137C2×Q812yes—
104C24×C137#4114yes—
105C24×C137#4114yes—
106C24×C137C2411yescharacteristic
107C22×C4×C137—21no—
108C22×C4×C137—21no—
109C22×C4×C137—22no—
110C22×C4×C137—22no—
111C22×C4×C137—22no—
112C22×C4×C137—22no—
113C22×C4×C137—21no—
114C22×C4×C137—21no—
115C22×C4×C137—216no—
116C22×C4×C137—28no—
117C22×C4×C137—21no—
118C22×C4×C137—21no—
119C22×C4×C137—22no—
120C22×C4×C137—22no—
121C22×C4×C137—22no—
122C22×C4×C137—22no—
123C22×C4×C137—21no—
124C22×C4×C137—22no—
125C22×C4×C137—22no—
126C22×C4×C137—22no—
127C22×C4×C137—21no—
128C22×C4×C137—22no—
129C22×C4×C137—22no—
130C22×C4×C137—22no—
131C22×C4×C137—22no—
132C22×C4×C137—22no—
133C22×C4×C137—21no—
134C22×C4×C137—22no—
135C22×C4×C137—22no—
136C22×C4×C137—22no—
137C22×C4×C137—22no—
138C22×C4×C137—22no—
139C22×C4×C137—22no—
140C22×C4×C137—21no—
141C22×C4×C137—28no—
142C22×C4×C137—22no—
143C22×C4×C137—22no—
144C22×C4×C137—22no—
145C22×C4×C137—22no—
146C22×C4×C137—22no—
147C22×C4×C137—22no—
148C22×C4×C137—22no—
149C22×C4×C137—22no—
150C22×C4×C137—22no—
151C22×C4×C137—22no—
152C22×C4×C137—22no—
153C22×C4×C137—22no—
154C22×C4×C137—22no—
155C22×C4×C137—22no—
156C22×C4×C137—44no—
157C22×C4×C137—48no—
158C22×C4×C137—48no—
159C22×C4×C137—48no—
160C22×C4×C137—48no—
161C22×C4×C137—48no—
162C22×C4×C137—48no—
163C22×C4×C137—48no—
164C22×C4×C137—48no—
165C22×C4×C137C22×C412yes—
166C22×C4×C137C22×C412yes—
167C22×C4×C137C22×C412yes—
168C22×C4×C137C22×C412yes—
169C22×C4×C137C22×C412yes—
170C22×C4×C137C22×C412yes—
171C22×C4×C137C2×D414yes—
172C22×C4×C137C2×D412yes—
173C22×C4×C137C2×D412yes—
174C22×C4×C137C2×D412yes—
175C22×C4×C137C2×Q812yes—
176C22×C4×C137C2×Q812yes—
177C22×C4×C137#4114yes—
178C22×C4×C137#4112yes—
179C4⋊C4×C137—48no—
180C4⋊C4×C137—48no—
181C22⋊C4×C137—28no—
182C22⋊C4×C137—48no—
183C22⋊C4×C137C4⋊C4116yes—
184C42×C137—28no—
185C42×C137—44no—
186C23×C137—22no—
187C23×C137—22no—
188C23×C137—22no—
189C23×C137—22no—
190C23×C137—24no—
191C23×C137—24no—
192C23×C137—24no—
193C23×C137—24no—
194C23×C137—22no—
195C23×C137—24no—
196C23×C137—24no—
197C23×C137—22no—
198C23×C137—22no—
199C23×C137—24no—
200C23×C137—24no—
201C23×C137—24no—
202C23×C137—22no—
203C23×C137—24no—
204C23×C137C2×C4⋊C414yes—
205C23×C137#11714yes—
206C23×C137#11714yes—
207C23×C137#12418yes—
208C23×C137#12518yes—
209C23×C137C23×C411yescharacteristic
210C23×C137C22×D411yescharacteristic
211C23×C137C22×D411yescharacteristic
212C23×C137C22×Q811yescharacteristic
213C23×C137C2×#4112yes—
214C23×C137C2×#4112yes—
215C23×C137C2×#4111yescharacteristic
216C23×C137C2×#4112yes—
217C23×C137H(5,𝔽2)12yes—
218C23×C137H(5,𝔽2)11yescharacteristic
219C23×C1372−1+411yescharacteristic
220C2×C4×C137—22no—
221C2×C4×C137—22no—
222C2×C4×C137—22no—
223C2×C4×C137—22no—
224C2×C4×C137—22no—
225C2×C4×C137—22no—
226C2×C4×C137—22no—
227C2×C4×C137—24no—
228C2×C4×C137—24no—
229C2×C4×C137—22no—
230C2×C4×C137—22no—
231C2×C4×C137—24no—
232C2×C4×C137—22no—
233C2×C4×C137—24no—
234C2×C4×C137—22no—
235C2×C4×C137—22no—
236C2×C4×C137—22no—
237C2×C4×C137—22no—
238C2×C4×C137—22no—
239C2×C4×C137—22no—
240C2×C4×C137—22no—
241C2×C4×C137—22no—
242C2×C4×C137—22no—
243C2×C4×C137—24no—
244C2×C4×C137—24no—
245C2×C4×C137—24no—
246C2×C4×C137—24no—
247C2×C4×C137—24no—
248C2×C4×C137—24no—
249C2×C4×C137—416no—
250C2×C4×C137—432no—
251C2×C4×C137—42no—
252C2×C4×C137—42no—
253C2×C4×C137—42no—
254C2×C4×C137—42no—
255C2×C4×C137—42no—
256C2×C4×C137—42no—
257C2×C4×C137—42no—
258C2×C4×C137—42no—
259C2×C4×C137—42no—
260C2×C4×C137—42no—
261C2×C4×C137—42no—
262C2×C4×C137—42no—
263C2×C4×C137—42no—
264C2×C4×C137—42no—
265C2×C4×C137—42no—
266C2×C4×C137—42no—
267C2×C4×C137—42no—
268C2×C4×C137—42no—
269C2×C4×C137—42no—
270C2×C4×C137—42no—
271C2×C4×C137—42no—
272C2×C4×C137—42no—
273C2×C4×C137—42no—
274C2×C4×C137—42no—
275C2×C4×C137—42no—
276C2×C4×C137—42no—
277C2×C4×C137—42no—
278C2×C4×C137—42no—
279C2×C4×C137C2×C4⋊C414yes—
280C2×C4×C137C2×C4⋊C414yes—
281C2×C4×C137C4×D414yes—
282C22×C137—24no—
283C22×C137—24no—
284C22×C137—24no—
285C22×C137—24no—
286C22×C137—24no—
287C22×C137—28no—
288C22×C137—28no—
289C22×C137—28no—
290C22×C137—28no—
291C22×C137—24no—
292C22×C137#38218yescomplemented
293C22×C137C22×C4⋊C411yescharacteristic
294C22×C137C2×#11711yescharacteristic
295C22×C137C2×#11711yescharacteristic
296C22×C137C2×C4×D411yescharacteristic
297C22×C137C4×#4111yescharacteristic
298C22×C137#51811yescharacteristic
299C22×C137#52011yescharacteristic
300C22×C137#52512yes—
301C22×C137C2×#12412yes—
302C22×C137C2×#12512yes—
303C22×C137#52912yes—
304C22×C137#53812yes—
305C22×C137#53912yes—
306C22×C137D4211yescharacteristic
307C22×C137#54612yes—
308C22×C137#54612yes—
309C22×C137#54711yescharacteristic
310C22×C137D4×Q811yescharacteristic
311C22×C137#55112yes—
312C22×C137#55112yes—
313C22×C137#55212yes—
314C22×C137#55411yescharacteristic
315C22×C137#55412yes—
316C4×C137—24no—
317C4×C137—24no—
318C4×C137—24no—
319C4×C137—42no—
320C4×C137—42no—
321C4×C137—44no—
322C4×C137—44no—
323C4×C137—42no—
324C4×C137—82no—
325C4×C137—82no—
326C2×C137—28no—
327C2×C137C2×#38211yescharacteristic
328C2×C137#229011yescharacteristic
329C2×C137#231811yescharacteristic
330C2×C137#234211yescharacteristic
331C2×C137#234311yescharacteristic
332C2×C137D4×C4⋊C411yescharacteristic
333C2×C137#234911yescharacteristic
334C2×C137#247212yes—
335C2×C137#247312yes—
336C2×C137#248812yes—
337C2×C137#250512yes—
338#13896C13711yesmaximal, characteristic, direct product factor, Sylow
339C137#1389611yescharacteristic, direct product factor, Sylow
340C2×#385C2×C13712yes—
341C2×#382C2×C13711yescharacteristic, complemented
342C2×C4×C22⋊C4C2×C13711yescharacteristic
343C22×#95C2×C13711yescharacteristic
344#1442C2×C13712yescomplemented
345#1442C2×C13712yescomplemented
346C4⋊#95C2×C13711yescharacteristic, complemented
347#1434C2×C13711yescharacteristic, complemented
348#1434C2×C13711yescharacteristic, complemented
349C22⋊#95C2×C13711yescharacteristic
350C22⋊#95C2×C13712yes—
351C24×C4C22×C13712yes—
352C24×C4C22×C13711yescharacteristic
353C22×C4⋊C4C22×C13712yes—
354C22×C4⋊C4C22×C13712yes—
355C22×C22⋊C4C22×C13712yes—
356C22×C22⋊C4C22×C13711yescharacteristic
357C22×C22⋊C4C22×C13711yescharacteristic
358C22×C42C22×C13711yescharacteristic
359C22×C42C22×C13711yescharacteristic
360#385—28no—
361#382—24no—
362C4×C22⋊C4C4×C13718yescomplemented
363C2×#95—24no—
364C2×#95C22×C13711yescharacteristic
365C2×#95C22×C13712yes—
366C2×#95C22×C13711yescharacteristic
367C2×#95C22×C13712yes—
368C2×#95C22×C13711yescharacteristic
369C2×#95C22×C13712yes—
370C2×#95C22×C13712yes—
371C2×#95C22×C13712yes—
372C2×#95C22×C13712yes—
373C2×#95C22×C13712yes—
374C2×#95C22×C13712yes—
375C2×#95C22×C13711yescharacteristic
376C2×#95C22×C13711yescharacteristic
377C2×#95C22×C13711yescharacteristic
378C25C23×C13711yescharacteristic
379C23×C4—24no—
380C23×C4—24no—
381C23×C4—24no—
382C23×C4—22no—
383C23×C4—24no—
384C23×C4—22no—
385C23×C4—24no—
386C23×C4—24no—
387C23×C4—42no—
388C23×C4—42no—
389C23×C4—42no—
390C23×C4C2×C4×C13714yes—
391C23×C4C23×C13712yes—
392C23×C4C23×C13712yes—
393C23×C4C23×C13711yescharacteristic
394C23×C4C23×C13711yescharacteristic
395C23×C4C23×C13711yescharacteristic
396C23×C4C23×C13712yes—
397C23×C4C23×C13712yes—
398C23×C4C23×C13711yescharacteristic
399C23×C4C23×C13711yescharacteristic
400C23×C4C23×C13711yescharacteristic
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—42no—
406C2×C4⋊C4—42no—
407C2×C22⋊C4—24no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4C2×C4×C13714yes—
412C2×C22⋊C4C2×C4×C13714yes—
413C2×C22⋊C4D4×C13714yes—
414C2×C22⋊C4Q8×C13714yes—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—42no—
418C2×C42C2×C4×C13714yescomplemented
419C2×C42C2×C4×C13714yescomplemented
420#95—24no—
421#95—22no—
422#95—24no—
423#95—22no—
424#95—24no—
425#95—24no—
426#95—24no—
427#95—22no—
428#95—42no—
429#95—42no—
430#95—42no—
431#95C2×C4×C13714yescomplemented
432#95C2×C4×C13714yescomplemented
433#95D4×C13714yes—
434C24—21no—
435C24—21no—
436C24—22no—
437C24—22no—
438C24—21no—
439C24—21no—
440C24C22×C4×C13712yes—
441C24C2×D4×C13712yes—
442C24C2×Q8×C13712yes—
443C24#41×C13714yes—
444C24#41×C13714yes—
445C24C24×C13711yescharacteristic
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—216no—
455C22×C4—28no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4C22×C4×C13712yes—
505C22×C4C22×C4×C13712yes—
506C22×C4C22×C4×C13712yes—
507C22×C4C22×C4×C13712yes—
508C22×C4C22×C4×C13712yes—
509C22×C4C22×C4×C13712yes—
510C22×C4C2×D4×C13714yes—
511C22×C4C2×D4×C13712yes—
512C22×C4C2×D4×C13712yes—
513C22×C4C2×D4×C13712yes—
514C22×C4C2×Q8×C13712yes—
515C22×C4C2×Q8×C13712yes—
516C22×C4#41×C13714yes—
517C22×C4#41×C13712yes—
518C4⋊C4—48no—
519C4⋊C4—48no—
520C22⋊C4—28no—
521C22⋊C4—48no—
522C22⋊C4C4⋊C4×C137116yes—
523C42—28no—
524C42—44no—
525C23—22no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—22no—
534C23—24no—
535C23—24no—
536C23—22no—
537C23—22no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—22no—
542C23—24no—
543C23C2×C4⋊C4×C13714yes—
544C23#117×C13714yes—
545C23#117×C13714yes—
546C23#124×C13718yes—
547C23#125×C13718yes—
548C23C23×C4×C13711yescharacteristic
549C23C22×D4×C13711yescharacteristic
550C23C22×D4×C13711yescharacteristic
551C23C22×Q8×C13711yescharacteristic
552C23C2×#41×C13712yes—
553C23C2×#41×C13712yes—
554C23C2×#41×C13711yescharacteristic
555C23C2×#41×C13712yes—
556C23H(5,𝔽2)×C13712yes—
557C23H(5,𝔽2)×C13711yescharacteristic
558C232−1+4×C13711yescharacteristic
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—416no—
589C2×C4—432no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4C2×C4⋊C4×C13714yes—
619C2×C4C2×C4⋊C4×C13714yes—
620C2×C4C4×D4×C13714yes—
621C22—24no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—24no—
626C22—24no—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—28no—
631C22#382×C13718yescomplemented
632C22C22×C4⋊C4×C13711yescharacteristic
633C22C2×#117×C13711yescharacteristic
634C22C2×#117×C13711yescharacteristic
635C22C2×C4×D4×C13711yescharacteristic
636C22C4×#41×C13711yescharacteristic
637C22#518×C13711yescharacteristic
638C22#520×C13711yescharacteristic
639C22#525×C13712yes—
640C22C2×#124×C13712yes—
641C22C2×#125×C13712yes—
642C22#529×C13712yes—
643C22#538×C13712yes—
644C22#539×C13712yes—
645C22D42×C13711yescharacteristic
646C22#546×C13712yes—
647C22#546×C13712yes—
648C22#547×C13711yescharacteristic
649C22D4×Q8×C13711yescharacteristic
650C22#551×C13712yes—
651C22#551×C13712yes—
652C22#552×C13712yes—
653C22#554×C13711yescharacteristic
654C22#554×C13712yes—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—44no—
662C4—44no—
663C4—82no—
664C4—82no—
665C2—28no—
666C2C2×#382×C13711yescharacteristic
667C2#2290×C13711yescharacteristic
668C2#2318×C13711yescharacteristic
669C2#2342×C13711yescharacteristic
670C2#2343×C13711yescharacteristic
671C2D4×C4⋊C4×C13711yescharacteristic
672C2#2349×C13711yescharacteristic
673C2#2472×C13712yes—
674C2#2473×C13712yes—
675C2#2488×C13712yes—
676C2#2505×C13712yes—
subgroupG/H
center, socleC24×C137C24
commutatorC23C23×C4×C137
Frattini, cosocleC24C24×C137
prime radicalC25×C137C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#382×C137C2semidirect
5. #1442×C137C2semidirect
6. #1442×C137C2semidirect
7. C4⋊#95×C137C2semidirect
8. #1434×C137C2semidirect
9. #1434×C137C2semidirect
23. C4×C22⋊C4×C137C4semidirect
79. C2×C42×C137C2×C4semidirect
80. C2×C42×C137C2×C4semidirect
92. #95×C137C2×C4semidirect
93. #95×C137C2×C4semidirect
292. C22×C137#382semidirect
338. #13896C137direct (N × H)
339. C137#13896direct (N × H)
341. C2×#382C2×C137semidirect
344. #1442C2×C137semidirect
345. #1442C2×C137semidirect
346. C4⋊#95C2×C137semidirect
347. #1434C2×C137semidirect
348. #1434C2×C137semidirect
362. C4×C22⋊C4C4×C137semidirect
418. C2×C42C2×C4×C137semidirect
419. C2×C42C2×C4×C137semidirect
431. #95C2×C4×C137semidirect
432. #95C2×C4×C137semidirect
631. C22#382×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#385×C1372
C2×#382×C1372
C2×C4×C22⋊C4×C1372
C22×#95×C1372
#1442×C1372
C4⋊#95×C1372
#1434×C1372
C22⋊#95×C1372
#13896137