Finite Group Databasebeta

← C137×#26727 #46876113

Subgroups — C137×#26727 #46876113

Order 35072.

790 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2490×C137C211yesmaximal, characteristic
2#2360×C137C211yesmaximal, characteristic, complemented
3#2055×C137C211yesmaximal, characteristic, complemented
4#2036×C137C211yesmaximal, characteristic, complemented
5#2026×C137C211yesmaximal, characteristic, complemented
6#2000×C137C211yesmaximal, characteristic
7#1989×C137C211yesmaximal, characteristic, complemented
8#1934×C137C211yesmaximal, characteristic, complemented
9#1925×C137C211yesmaximal, characteristic, complemented
10#1923×C137C211yesmaximal, characteristic, complemented
11#1921×C137C211yesmaximal, characteristic, complemented
12#1880×C137C211yesmaximal, characteristic, complemented
13#1874×C137C211yesmaximal, characteristic
14#1823×C137C211yesmaximal, characteristic, complemented
15C4×#103×C137C211yesmaximal, characteristic, complemented
16C22×SD16×C137C2211yescharacteristic
17C2×#125×C137C2211yescharacteristic
18C2×C22⋊Q8×C137C2211yescharacteristic
19C2×#121×C137C2211yescharacteristic
20C2×C4×Q8×C137C2211yescharacteristic
21C22×C4⋊C4×C137C2211yescharacteristic
22C2×#107×C137C2211yescharacteristic
23C2×C4⋊C8×C137C2211yescharacteristic
24C2×#103×C137C2211yescharacteristic
25C2×#103×C137C2211yescharacteristic
26C2×#103×C137C2211yescharacteristic
27C2×#102×C137C2211yescharacteristic
28C2×#102×C137C2211yescharacteristic
29C2×#102×C137C2211yescharacteristic
30C2×C22⋊C8×C137C2211yescharacteristic
31C2×C22⋊C8×C137C2211yescharacteristic
32C2×C4×C8×C137C2211yescharacteristic
33#397×C137—21no—
34#394×C137—21no—
35#391×C137C2211yescharacteristic
36#390×C137—21no—
37#390×C137C2211yescharacteristic
38#390×C137C2211yescharacteristic
39#389×C137—21no—
40#389×C137C2211yescharacteristic
41#388×C137—21no—
42#387×C137—21no—
43#385×C137—21no—
44#380×C137C2211yescharacteristic
45C4×C4⋊C4×C137C2211yescharacteristic
46C4×C4⋊C4×C137C2211yescharacteristic
47C4×C22⋊C4×C137—21no—
48C4×C22⋊C4×C137C2211yescharacteristic
49#340×C137C2211yescharacteristic
50#340×C137C2211yescharacteristic
51#340×C137C2211yescharacteristic
52#340×C137C2211yescharacteristic
53#340×C137C2211yescharacteristic
54#340×C137C2211yescharacteristic
55#340×C137C2211yescharacteristic
56#340×C137C2211yescharacteristic
57#336×C137C2211yescharacteristic
58#336×C137C2211yescharacteristic
59C22×Q8×C137C2311yescharacteristic
60C22×D4×C137—21no—
61C22×D4×C137C2311yescharacteristic
62C23×C4×C137—21no—
63C23×C4×C137C2311yescharacteristic
64C2×SD16×C137—22no—
65C2×SD16×C137—41no—
66C2×SD16×C137—41no—
67C22×C8×C137C2311yescharacteristic
68C22×C8×C137C2311yescharacteristic
69C22×C8×C137C2311yescharacteristic
70C22×C8×C137C2311yescharacteristic
71#125×C137—22no—
72#125×C137—41no—
73C22⋊Q8×C137—22no—
74C22⋊Q8×C137—22no—
75#121×C137—22no—
76#121×C137—41no—
77C4×Q8×C137—22no—
78C4×Q8×C137—41no—
79C2×C4⋊C4×C137—21no—
80C2×C4⋊C4×C137—22no—
81C2×C4⋊C4×C137—21no—
82C2×C4⋊C4×C137—21no—
83C2×C4⋊C4×C137—21no—
84C2×C4⋊C4×C137—21no—
85C2×C4⋊C4×C137—21no—
86C2×C4⋊C4×C137—41no—
87C2×C4⋊C4×C137C2311yescharacteristic
88C2×C4⋊C4×C137C2311yescharacteristic
89C2×C4⋊C4×C137C2311yescharacteristic
90C2×C4⋊C4×C137C2311yescharacteristic
91C2×C4⋊C4×C137C2311yescharacteristic
92C2×C4⋊C4×C137C2311yescharacteristic
93C2×C22⋊C4×C137—21no—
94C2×C22⋊C4×C137—21no—
95C2×C22⋊C4×C137—21no—
96C2×C22⋊C4×C137—21no—
97C2×C22⋊C4×C137—21no—
98C2×C22⋊C4×C137—21no—
99C2×C22⋊C4×C137—21no—
100C2×C22⋊C4×C137D411yescharacteristic
101C2×C22⋊C4×C137D411yescharacteristic
102C2×C42×C137—21no—
103C2×C42×C137—21no—
104C2×C42×C137—21no—
105C2×C42×C137C2311yescharacteristic
106C2×C42×C137C2311yescharacteristic
107#107×C137—22no—
108C4⋊C8×C137—41no—
109#103×C137—22no—
110#103×C137—22no—
111#103×C137—41no—
112#102×C137—22no—
113#102×C137—22no—
114#102×C137—41no—
115C22⋊C8×C137—41no—
116C22⋊C8×C137—41no—
117C4×C8×C137—41no—
118#95×C137—21no—
119#95×C137—21no—
120#95×C137—21no—
121#95×C137—21no—
122#95×C137—21no—
123#95×C137—21no—
124#95×C137D411yescharacteristic
125#95×C137D411yescharacteristic
126C24×C137—21no—
127C24×C137C2×D411yescharacteristic
128C2×Q8×C137—21no—
129C2×Q8×C137—21no—
130C2×Q8×C137—21no—
131C2×Q8×C137—21no—
132C2×Q8×C137—21no—
133C2×Q8×C137#4112yes—
134C2×D4×C137—21no—
135C2×D4×C137—21no—
136C2×D4×C137—21no—
137C2×D4×C137—21no—
138C2×D4×C137—21no—
139C2×D4×C137—21no—
140C2×D4×C137—42no—
141C2×D4×C137—42no—
142C2×D4×C137—81no—
143C22×C4×C137—21no—
144C22×C4×C137—21no—
145C22×C4×C137—21no—
146C22×C4×C137—21no—
147C22×C4×C137—21no—
148C22×C4×C137—21no—
149C22×C4×C137—21no—
150C22×C4×C137—21no—
151C22×C4×C137—21no—
152C22×C4×C137—21no—
153C22×C4×C137—21no—
154C22×C4×C137—21no—
155C22×C4×C137—21no—
156C22×C4×C137—42no—
157C22×C4×C137—42no—
158C22×C4×C137—81no—
159C22×C4×C137C2×D411yescharacteristic
160C22×C4×C137C2×D411yescharacteristic
161C22×C4×C137C2×D411yescharacteristic
162C22×C4×C137C2×D411yescharacteristic
163C22×C4×C137C2×D411yescharacteristic
164C22×C4×C137C2411yescharacteristic
165SD16×C137—44no—
166C2×C8×C137—21no—
167C2×C8×C137—21no—
168C2×C8×C137—21no—
169C2×C8×C137—21no—
170C2×C8×C137—21no—
171C2×C8×C137—21no—
172C2×C8×C137—21no—
173C2×C8×C137—21no—
174C2×C8×C137—21no—
175C2×C8×C137—21no—
176C2×C8×C137—21no—
177C2×C8×C137—21no—
178C4⋊C4×C137—24no—
179C4⋊C4×C137—21no—
180C4⋊C4×C137—21no—
181C4⋊C4×C137—21no—
182C4⋊C4×C137—21no—
183C4⋊C4×C137—21no—
184C4⋊C4×C137—21no—
185C4⋊C4×C137—21no—
186C4⋊C4×C137—21no—
187C4⋊C4×C137—21no—
188C4⋊C4×C137—42no—
189C4⋊C4×C137—42no—
190C4⋊C4×C137—42no—
191C4⋊C4×C137—42no—
192C4⋊C4×C137—81no—
193C4⋊C4×C137#4112yes—
194C4⋊C4×C137#4112yes—
195C4⋊C4×C137#4112yes—
196C22⋊C4×C137—24no—
197C22⋊C4×C137—22no—
198C22⋊C4×C137—22no—
199C22⋊C4×C137—42no—
200C22⋊C4×C137—42no—
201C22⋊C4×C137—81no—
202C22⋊C4×C137—81no—
203C22⋊C4×C137—81no—
204C22⋊C4×C137—81no—
205C42×C137—21no—
206C42×C137—21no—
207C42×C137—21no—
208C42×C137—21no—
209C42×C137—42no—
210C42×C137—81no—
211C42×C137—81no—
212C23×C137—21no—
213C23×C137—21no—
214C23×C137—21no—
215C23×C137—21no—
216C23×C137—21no—
217C23×C137—21no—
218C23×C137—41no—
219C23×C137—41no—
220C23×C137—41no—
221C23×C137—41no—
222C23×C137—41no—
223C23×C137—41no—
224C23×C137—41no—
225C23×C137#13512yes—
226C23×C137C22×D411yescharacteristic
227Q8×C137—22no—
228Q8×C137—22no—
229Q8×C137—41no—
230Q8×C137—41no—
231D4×C137—41no—
232D4×C137—41no—
233D4×C137—41no—
234D4×C137—41no—
235D4×C137—84no—
236C2×C4×C137—21no—
237C2×C4×C137—21no—
238C2×C4×C137—22no—
239C2×C4×C137—22no—
240C2×C4×C137—21no—
241C2×C4×C137—21no—
242C2×C4×C137—21no—
243C2×C4×C137—21no—
244C2×C4×C137—22no—
245C2×C4×C137—21no—
246C2×C4×C137—22no—
247C2×C4×C137—21no—
248C2×C4×C137—21no—
249C2×C4×C137—21no—
250C2×C4×C137—21no—
251C2×C4×C137—21no—
252C2×C4×C137—21no—
253C2×C4×C137—21no—
254C2×C4×C137—41no—
255C2×C4×C137—41no—
256C2×C4×C137—41no—
257C2×C4×C137—41no—
258C2×C4×C137—41no—
259C2×C4×C137—41no—
260C2×C4×C137—41no—
261C2×C4×C137—41no—
262C2×C4×C137—41no—
263C2×C4×C137—41no—
264C2×C4×C137—41no—
265C2×C4×C137—41no—
266C2×C4×C137—41no—
267C2×C4×C137—41no—
268C2×C4×C137—41no—
269C2×C4×C137—41no—
270C2×C4×C137—41no—
271C2×C4×C137—41no—
272C2×C4×C137—41no—
273C2×C4×C137—41no—
274C2×C4×C137—41no—
275C2×C4×C137—84no—
276C2×C4×C137#13712yes—
277C2×C4×C137C2×#4111yescharacteristic
278C2×C4×C137C2×#4111yescharacteristic
279C2×C4×C137C2×#4111yescharacteristic
280C2×C4×C137C2×#4111yescharacteristic
281C2×C4×C137H(5,𝔽2)11yescharacteristic
282C2×C4×C137H(5,𝔽2)11yescharacteristic
283C8×C137—41no—
284C8×C137—41no—
285C8×C137—41no—
286C8×C137—41no—
287C22×C137—22no—
288C22×C137—22no—
289C22×C137—22no—
290C22×C137—41no—
291C22×C137—41no—
292C22×C137—41no—
293C22×C137—41no—
294C22×C137—81no—
295C22×C137—81no—
296C22×C137—81no—
297C22×C137—81no—
298C22×C137—81no—
299C22×C137—81no—
300C22×C137—81no—
301C22×C137#52511yescharacteristic
302C22×C137#54611yescharacteristic
303C22×C137#54611yescharacteristic
304C22×C137C2×#13511yescharacteristic
305C22×C137C2×#13711yescharacteristic
306C22×C137#57611yescharacteristic
307C22×C137#57711yescharacteristic
308C4×C137—22no—
309C4×C137—41no—
310C4×C137—42no—
311C4×C137—41no—
312C4×C137—42no—
313C4×C137—41no—
314C4×C137—42no—
315C4×C137—41no—
316C4×C137—42no—
317C4×C137—81no—
318C4×C137—81no—
319C4×C137—81no—
320C4×C137#52911yescharacteristic
321C4×C137#53811yescharacteristic
322C4×C137#55511yescharacteristic
323C4×C137#55911yescharacteristic
324C2×C137—42no—
325C2×C137—161no—
326C2×C137#245911yescharacteristic
327C2×C137#310811yescharacteristic
328C2×C137#311911yescharacteristic
329C2×C137#329611yescharacteristic
330C2×C137#329711yescharacteristic
331C2×C137#332011yescharacteristic
332C2×C137#333311yescharacteristic
333#26727C13711yesmaximal, characteristic, direct product factor, Sylow
334C137#2672711yescharacteristic, direct product factor, Sylow
335#2490C2×C13711yescharacteristic
336#2360C2×C13711yescharacteristic, complemented
337#2055C2×C13711yescharacteristic, complemented
338#2036C2×C13711yescharacteristic, complemented
339#2026C2×C13711yescharacteristic, complemented
340#2000C2×C13711yescharacteristic
341#1989C2×C13711yescharacteristic, complemented
342#1934C2×C13711yescharacteristic, complemented
343#1925C2×C13711yescharacteristic, complemented
344#1923C2×C13711yescharacteristic, complemented
345#1921C2×C13711yescharacteristic, complemented
346#1880C2×C13711yescharacteristic, complemented
347#1874C2×C13711yescharacteristic
348#1823C2×C13711yescharacteristic, complemented
349C4×#103C2×C13711yescharacteristic, complemented
350C22×SD16C22×C13711yescharacteristic
351C2×#125C22×C13711yescharacteristic
352C2×C22⋊Q8C22×C13711yescharacteristic
353C2×#121C22×C13711yescharacteristic
354C2×C4×Q8C22×C13711yescharacteristic
355C22×C4⋊C4C22×C13711yescharacteristic
356C2×#107C22×C13711yescharacteristic
357C2×C4⋊C8C22×C13711yescharacteristic
358C2×#103C22×C13711yescharacteristic
359C2×#103C22×C13711yescharacteristic
360C2×#103C22×C13711yescharacteristic
361C2×#102C22×C13711yescharacteristic
362C2×#102C22×C13711yescharacteristic
363C2×#102C22×C13711yescharacteristic
364C2×C22⋊C8C22×C13711yescharacteristic
365C2×C22⋊C8C22×C13711yescharacteristic
366C2×C4×C8C22×C13711yescharacteristic
367#397—21no—
368#394—21no—
369#391C22×C13711yescharacteristic
370#390—21no—
371#390C22×C13711yescharacteristic
372#390C22×C13711yescharacteristic
373#389—21no—
374#389C22×C13711yescharacteristic
375#388—21no—
376#387—21no—
377#385—21no—
378#380C22×C13711yescharacteristic
379C4×C4⋊C4C22×C13711yescharacteristic
380C4×C4⋊C4C22×C13711yescharacteristic
381C4×C22⋊C4—21no—
382C4×C22⋊C4C22×C13711yescharacteristic
383#340C22×C13711yescharacteristic
384#340C22×C13711yescharacteristic
385#340C22×C13711yescharacteristic
386#340C22×C13711yescharacteristic
387#340C22×C13711yescharacteristic
388#340C22×C13711yescharacteristic
389#340C22×C13711yescharacteristic
390#340C22×C13711yescharacteristic
391#336C22×C13711yescharacteristic
392#336C22×C13711yescharacteristic
393C22×Q8C23×C13711yescharacteristic
394C22×D4—21no—
395C22×D4C23×C13711yescharacteristic
396C23×C4—21no—
397C23×C4C23×C13711yescharacteristic
398C2×SD16—22no—
399C2×SD16—41no—
400C2×SD16—41no—
401C22×C8C23×C13711yescharacteristic
402C22×C8C23×C13711yescharacteristic
403C22×C8C23×C13711yescharacteristic
404C22×C8C23×C13711yescharacteristic
405#125—22no—
406#125—41no—
407C22⋊Q8—22no—
408C22⋊Q8—22no—
409#121—22no—
410#121—41no—
411C4×Q8—22no—
412C4×Q8—41no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—41no—
421C2×C4⋊C4C23×C13711yescharacteristic
422C2×C4⋊C4C23×C13711yescharacteristic
423C2×C4⋊C4C23×C13711yescharacteristic
424C2×C4⋊C4C23×C13711yescharacteristic
425C2×C4⋊C4C23×C13711yescharacteristic
426C2×C4⋊C4C23×C13711yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4D4×C13711yescharacteristic
435C2×C22⋊C4D4×C13711yescharacteristic
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C13711yescharacteristic
440C2×C42C23×C13711yescharacteristic
441#107—22no—
442C4⋊C8—41no—
443#103—22no—
444#103—22no—
445#103—41no—
446#102—22no—
447#102—22no—
448#102—41no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451C4×C8—41no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95D4×C13711yescharacteristic
459#95D4×C13711yescharacteristic
460C24—21no—
461C24C2×D4×C13711yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8#41×C13712yes—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—81no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4C2×D4×C13711yescharacteristic
494C22×C4C2×D4×C13711yescharacteristic
495C22×C4C2×D4×C13711yescharacteristic
496C22×C4C2×D4×C13711yescharacteristic
497C22×C4C2×D4×C13711yescharacteristic
498C22×C4C24×C13711yescharacteristic
499SD16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C4⋊C4—24no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4#41×C13712yes—
528C4⋊C4#41×C13712yes—
529C4⋊C4#41×C13712yes—
530C22⋊C4—24no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—81no—
545C42—81no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23#135×C13712yes—
560C23C22×D4×C13711yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—84no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4#137×C13712yes—
611C2×C4C2×#41×C13711yescharacteristic
612C2×C4C2×#41×C13711yescharacteristic
613C2×C4C2×#41×C13711yescharacteristic
614C2×C4C2×#41×C13711yescharacteristic
615C2×C4H(5,𝔽2)×C13711yescharacteristic
616C2×C4H(5,𝔽2)×C13711yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22#525×C13711yescharacteristic
636C22#546×C13711yescharacteristic
637C22#546×C13711yescharacteristic
638C22C2×#135×C13711yescharacteristic
639C22C2×#137×C13711yescharacteristic
640C22#576×C13711yescharacteristic
641C22#577×C13711yescharacteristic
642C4—22no—
643C4—41no—
644C4—42no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4#529×C13711yescharacteristic
655C4#538×C13711yescharacteristic
656C4#555×C13711yescharacteristic
657C4#559×C13711yescharacteristic
658C2—42no—
659C2—161no—
660C2#2459×C13711yescharacteristic
661C2#3108×C13711yescharacteristic
662C2#3119×C13711yescharacteristic
663C2#3296×C13711yescharacteristic
664C2#3297×C13711yescharacteristic
665C2#3320×C13711yescharacteristic
666C2#3333×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C22×D4
commutator, Frattini, cosocleC22×C4C24×C137
prime radicalC2×#121×C137C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C137 ◁ C4×C22⋊C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2360×C137C2semidirect
3. #2055×C137C2semidirect
4. #2036×C137C2semidirect
5. #2026×C137C2semidirect
7. #1989×C137C2semidirect
8. #1934×C137C2semidirect
9. #1925×C137C2semidirect
10. #1923×C137C2semidirect
11. #1921×C137C2semidirect
12. #1880×C137C2semidirect
14. #1823×C137C2semidirect
15. C4×#103×C137C2semidirect
333. #26727C137direct (N × H)
334. C137#26727direct (N × H)
336. #2360C2×C137semidirect
337. #2055C2×C137semidirect
338. #2036C2×C137semidirect
339. #2026C2×C137semidirect
341. #1989C2×C137semidirect
342. #1934C2×C137semidirect
343. #1925C2×C137semidirect
344. #1923C2×C137semidirect
345. #1921C2×C137semidirect
346. #1880C2×C137semidirect
348. #1823C2×C137semidirect
349. C4×#103C2×C137semidirect

Maximal subgroups

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

subgroupindex
#2490×C1372
#2360×C1372
#2055×C1372
#2036×C1372
#2026×C1372
#2000×C1372
#1989×C1372
#1934×C1372
#1925×C1372
#1923×C1372
#1921×C1372
#1880×C1372
#1874×C1372
#1823×C1372
C4×#103×C1372
#26727137