Finite Group Databasebeta

← C137×#26256 #46875642

Subgroups — C137×#26256 #46875642

Order 35072.

842 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#497×C137C211yesmaximal, characteristic
2C2×C4×SD16×C137C211yesmaximal, characteristic
3#2447×C137C211yesmaximal, characteristic
4#2446×C137C211yesmaximal, characteristic, complemented
5#2056×C137C211yesmaximal, characteristic, complemented
6#2055×C137C211yesmaximal, characteristic
7#2043×C137C211yesmaximal, characteristic, complemented
8#2042×C137C211yesmaximal, characteristic
9#1973×C137C211yesmaximal, characteristic
10#1971×C137C211yesmaximal, characteristic, complemented
11#1969×C137C211yesmaximal, characteristic, complemented
12#1943×C137C211yesmaximal, characteristic, complemented
13#1878×C137C211yesmaximal, characteristic, complemented
14#1877×C137C211yesmaximal, characteristic
15#1771×C137C211yesmaximal, characteristic, complemented
16C22×Q16×C137C2211yescharacteristic
17C22×Q16×C137C2211yescharacteristic
18C22×SD16×C137C2211yescharacteristic
19C22×SD16×C137C2211yescharacteristic
20C2×C4⋊Q8×C137C2211yescharacteristic
21C2×#124×C137C2211yescharacteristic
22C2×C4×Q8×C137C2211yescharacteristic
23C2×C4×D4×C137C2211yescharacteristic
24#497×C137—24no—
25C4×SD16×C137—24no—
26C2×#107×C137C2211yescharacteristic
27C2×#106×C137C2211yescharacteristic
28C2×C4⋊C8×C137C2211yescharacteristic
29C2×#103×C137C2211yescharacteristic
30C2×#103×C137C2211yescharacteristic
31C2×#103×C137C2211yescharacteristic
32C2×#103×C137C2211yescharacteristic
33C2×#103×C137C2211yescharacteristic
34C2×#103×C137C2211yescharacteristic
35C2×#102×C137C2211yescharacteristic
36C2×#102×C137C2211yescharacteristic
37C2×#97×C137C2211yescharacteristic
38C2×#97×C137C2211yescharacteristic
39C2×C4×C8×C137C2211yescharacteristic
40#400×C137—21no—
41#398×C137—21no—
42#397×C137—21no—
43#397×C137—21no—
44#391×C137C2211yescharacteristic
45#391×C137C2211yescharacteristic
46#391×C137C2211yescharacteristic
47#391×C137C2211yescharacteristic
48#391×C137C2211yescharacteristic
49#390×C137C2211yescharacteristic
50#389×C137C2211yescharacteristic
51#389×C137C2211yescharacteristic
52#387×C137—21no—
53#387×C137—21no—
54#385×C137—21no—
55#381×C137—21no—
56C4×C4⋊C4×C137C2211yescharacteristic
57#340×C137C2211yescharacteristic
58#340×C137C2211yescharacteristic
59#336×C137C2211yescharacteristic
60#336×C137C2211yescharacteristic
61C22×Q8×C137C2311yescharacteristic
62C22×Q8×C137C2311yescharacteristic
63C22×Q8×C137C2311yescharacteristic
64C22×D4×C137C2311yescharacteristic
65C23×C4×C137—21no—
66C2×Q16×C137—22no—
67C2×Q16×C137—22no—
68C2×Q16×C137—22no—
69C2×Q16×C137—22no—
70C2×Q16×C137—22no—
71C2×Q16×C137—41no—
72C2×SD16×C137—22no—
73C2×SD16×C137—22no—
74C2×SD16×C137—22no—
75C2×SD16×C137—22no—
76C2×SD16×C137—41no—
77C2×SD16×C137D414yes—
78C22×C8×C137C2311yescharacteristic
79C22×C8×C137C2311yescharacteristic
80C22×C8×C137C2311yescharacteristic
81C22×C8×C137C2311yescharacteristic
82C4⋊Q8×C137—22no—
83C4⋊Q8×C137—41no—
84#124×C137—22no—
85#124×C137—41no—
86C4×Q8×C137—22no—
87C4×Q8×C137—41no—
88C4×D4×C137—22no—
89C4×D4×C137—41no—
90C2×C4⋊C4×C137—21no—
91C2×C4⋊C4×C137—21no—
92C2×C4⋊C4×C137—21no—
93C2×C4⋊C4×C137—21no—
94C2×C4⋊C4×C137—21no—
95C2×C4⋊C4×C137D411yescharacteristic
96C2×C4⋊C4×C137D411yescharacteristic
97C2×C4⋊C4×C137C2311yescharacteristic
98C2×C4⋊C4×C137C2311yescharacteristic
99C2×C4⋊C4×C137C2311yescharacteristic
100C2×C4⋊C4×C137C2311yescharacteristic
101C2×C22⋊C4×C137—21no—
102C2×C22⋊C4×C137—21no—
103C2×C22⋊C4×C137—21no—
104C2×C22⋊C4×C137—21no—
105C2×C22⋊C4×C137—21no—
106C2×C42×C137—21no—
107C2×C42×C137C2311yescharacteristic
108C2×C42×C137C2311yescharacteristic
109C2×C42×C137C2311yescharacteristic
110#107×C137—22no—
111#106×C137—22no—
112C4⋊C8×C137—22no—
113#103×C137—22no—
114#103×C137—41no—
115#103×C137—41no—
116#103×C137—41no—
117#103×C137—41no—
118#103×C137—41no—
119#102×C137—22no—
120#102×C137—41no—
121#97×C137—22no—
122#97×C137—22no—
123C4×C8×C137—22no—
124#95×C137—21no—
125#95×C137—21no—
126#95×C137—21no—
127#95×C137—21no—
128#95×C137—21no—
129#95×C137—21no—
130#95×C137—21no—
131#95×C137—21no—
132#95×C137—21no—
133#95×C137—21no—
134#95×C137—21no—
135#95×C137—21no—
136#95×C137D411yescharacteristic
137#95×C137D411yescharacteristic
138C24×C137—21no—
139C2×Q8×C137—21no—
140C2×Q8×C137—21no—
141C2×Q8×C137—21no—
142C2×Q8×C137—21no—
143C2×Q8×C137—21no—
144C2×Q8×C137—21no—
145C2×Q8×C137—21no—
146C2×Q8×C137—21no—
147C2×Q8×C137—21no—
148C2×Q8×C137—21no—
149C2×Q8×C137—21no—
150C2×Q8×C137—21no—
151C2×Q8×C137—21no—
152C2×Q8×C137—21no—
153C2×Q8×C137—21no—
154C2×Q8×C137—21no—
155C2×Q8×C137—21no—
156C2×Q8×C137C2×D412yes—
157C2×D4×C137—21no—
158C2×D4×C137—21no—
159C2×D4×C137—21no—
160C2×D4×C137—21no—
161C2×D4×C137—21no—
162C2×D4×C137C2×D412yes—
163C22×C4×C137—21no—
164C22×C4×C137—21no—
165C22×C4×C137—21no—
166C22×C4×C137—21no—
167C22×C4×C137—21no—
168C22×C4×C137—21no—
169C22×C4×C137—21no—
170C22×C4×C137—42no—
171C22×C4×C137—42no—
172C22×C4×C137—81no—
173C22×C4×C137C2×D411yescharacteristic
174C22×C4×C137C2×D411yescharacteristic
175C22×C4×C137C2×D411yescharacteristic
176C22×C4×C137C2×D411yescharacteristic
177C22×C4×C137C2×D411yescharacteristic
178C22×C4×C137C2×D411yescharacteristic
179C22×C4×C137C2411yescharacteristic
180Q16×C137—44no—
181Q16×C137—44no—
182SD16×C137—28no—
183SD16×C137—44no—
184C2×C8×C137—21no—
185C2×C8×C137—21no—
186C2×C8×C137—21no—
187C2×C8×C137—21no—
188C2×C8×C137—21no—
189C2×C8×C137—21no—
190C2×C8×C137—21no—
191C2×C8×C137—21no—
192C2×C8×C137C2×D412yes—
193C2×C8×C137#4112yes—
194C2×C8×C137#4112yes—
195C2×C8×C137#4112yes—
196C4⋊C4×C137—22no—
197C4⋊C4×C137—21no—
198C4⋊C4×C137—21no—
199C4⋊C4×C137—21no—
200C4⋊C4×C137—21no—
201C4⋊C4×C137—21no—
202C4⋊C4×C137—21no—
203C4⋊C4×C137—21no—
204C4⋊C4×C137—21no—
205C4⋊C4×C137—41no—
206C4⋊C4×C137—42no—
207C4⋊C4×C137—42no—
208C4⋊C4×C137—42no—
209C4⋊C4×C137—42no—
210C4⋊C4×C137—81no—
211C22⋊C4×C137—42no—
212C22⋊C4×C137—42no—
213C22⋊C4×C137—42no—
214C22⋊C4×C137—42no—
215C22⋊C4×C137—81no—
216C42×C137—21no—
217C42×C137—21no—
218C42×C137—21no—
219C42×C137—21no—
220C42×C137—21no—
221C42×C137—21no—
222C42×C137—42no—
223C23×C137—22no—
224C23×C137—41no—
225C23×C137—41no—
226C23×C137—41no—
227C23×C137—41no—
228C23×C137—41no—
229C23×C137—41no—
230C23×C137C22×D411yescharacteristic
231Q8×C137—22no—
232Q8×C137—22no—
233Q8×C137—41no—
234Q8×C137—41no—
235Q8×C137—41no—
236Q8×C137—41no—
237Q8×C137—41no—
238Q8×C137—41no—
239Q8×C137—41no—
240Q8×C137—41no—
241Q8×C137—41no—
242Q8×C137—41no—
243D4×C137—22no—
244D4×C137—22no—
245D4×C137—41no—
246D4×C137—41no—
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—22no—
255C2×C4×C137—21no—
256C2×C4×C137—21no—
257C2×C4×C137—21no—
258C2×C4×C137—21no—
259C2×C4×C137—21no—
260C2×C4×C137—21no—
261C2×C4×C137—21no—
262C2×C4×C137—21no—
263C2×C4×C137—21no—
264C2×C4×C137—21no—
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—41no—
276C2×C4×C137—41no—
277C2×C4×C137—41no—
278C2×C4×C137—41no—
279C2×C4×C137—41no—
280C2×C4×C137—41no—
281C2×C4×C137—41no—
282C2×C4×C137—41no—
283C2×C4×C137—41no—
284C2×C4×C137—41no—
285C2×C4×C137—84no—
286C2×C4×C137#13712yes—
287C2×C4×C137C22×D411yescharacteristic
288C2×C4×C137C2×#4111yescharacteristic
289C2×C4×C137C2×#4111yescharacteristic
290C2×C4×C137C2×#4111yescharacteristic
291C2×C4×C137H(5,𝔽2)11yescharacteristic
292C2×C4×C137H(5,𝔽2)11yescharacteristic
293C8×C137—22no—
294C8×C137—41no—
295C8×C137—41no—
296C8×C137#12314yes—
297C22×C137—42no—
298C22×C137—42no—
299C22×C137—42no—
300C22×C137—81no—
301C22×C137—81no—
302C22×C137—81no—
303C22×C137—81no—
304C22×C137#53211yescharacteristic
305C22×C137D4211yescharacteristic
306C22×C137#55011yescharacteristic
307C22×C137C2×#13711yescharacteristic
308C22×C137#57511yescharacteristic
309C22×C137#57711yescharacteristic
310C22×C137#57811yescharacteristic
311C4×C137—22no—
312C4×C137—41no—
313C4×C137—41no—
314C4×C137—42no—
315C4×C137—41no—
316C4×C137—41no—
317C4×C137—41no—
318C4×C137—81no—
319C4×C137—81no—
320C4×C137—81no—
321C4×C137—81no—
322C4×C137—81no—
323C4×C137—81no—
324C4×C137C2×#12311yescharacteristic
325C4×C137#54011yescharacteristic
326C4×C137#54611yescharacteristic
327C4×C137#55911yescharacteristic
328C2×C137—82no—
329C2×C137#244511yescharacteristic
330C2×C137#317211yescharacteristic
331C2×C137#317811yescharacteristic
332C2×C137#326611yescharacteristic
333C2×C137#326911yescharacteristic
334C2×C137#339811yescharacteristic
335C2×C137#340111yescharacteristic
336#26256C13711yesmaximal, characteristic, direct product factor, Sylow
337C137#2625611yescharacteristic, direct product factor, Sylow
338C2×#497C2×C13711yescharacteristic
339C2×C4×SD16C2×C13711yescharacteristic
340#2447C2×C13711yescharacteristic
341#2446C2×C13711yescharacteristic, complemented
342#2056C2×C13711yescharacteristic, complemented
343#2055C2×C13711yescharacteristic
344#2043C2×C13711yescharacteristic, complemented
345#2042C2×C13711yescharacteristic
346#1973C2×C13711yescharacteristic
347#1971C2×C13711yescharacteristic, complemented
348#1969C2×C13711yescharacteristic, complemented
349#1943C2×C13711yescharacteristic, complemented
350#1878C2×C13711yescharacteristic, complemented
351#1877C2×C13711yescharacteristic
352#1771C2×C13711yescharacteristic, complemented
353C22×Q16C22×C13711yescharacteristic
354C22×Q16C22×C13711yescharacteristic
355C22×SD16C22×C13711yescharacteristic
356C22×SD16C22×C13711yescharacteristic
357C2×C4⋊Q8C22×C13711yescharacteristic
358C2×#124C22×C13711yescharacteristic
359C2×C4×Q8C22×C13711yescharacteristic
360C2×C4×D4C22×C13711yescharacteristic
361#497—24no—
362C4×SD16—24no—
363C2×#107C22×C13711yescharacteristic
364C2×#106C22×C13711yescharacteristic
365C2×C4⋊C8C22×C13711yescharacteristic
366C2×#103C22×C13711yescharacteristic
367C2×#103C22×C13711yescharacteristic
368C2×#103C22×C13711yescharacteristic
369C2×#103C22×C13711yescharacteristic
370C2×#103C22×C13711yescharacteristic
371C2×#103C22×C13711yescharacteristic
372C2×#102C22×C13711yescharacteristic
373C2×#102C22×C13711yescharacteristic
374C2×#97C22×C13711yescharacteristic
375C2×#97C22×C13711yescharacteristic
376C2×C4×C8C22×C13711yescharacteristic
377#400—21no—
378#398—21no—
379#397—21no—
380#397—21no—
381#391C22×C13711yescharacteristic
382#391C22×C13711yescharacteristic
383#391C22×C13711yescharacteristic
384#391C22×C13711yescharacteristic
385#391C22×C13711yescharacteristic
386#390C22×C13711yescharacteristic
387#389C22×C13711yescharacteristic
388#389C22×C13711yescharacteristic
389#387—21no—
390#387—21no—
391#385—21no—
392#381—21no—
393C4×C4⋊C4C22×C13711yescharacteristic
394#340C22×C13711yescharacteristic
395#340C22×C13711yescharacteristic
396#336C22×C13711yescharacteristic
397#336C22×C13711yescharacteristic
398C22×Q8C23×C13711yescharacteristic
399C22×Q8C23×C13711yescharacteristic
400C22×Q8C23×C13711yescharacteristic
401C22×D4C23×C13711yescharacteristic
402C23×C4—21no—
403C2×Q16—22no—
404C2×Q16—22no—
405C2×Q16—22no—
406C2×Q16—22no—
407C2×Q16—22no—
408C2×Q16—41no—
409C2×SD16—22no—
410C2×SD16—22no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—41no—
414C2×SD16D4×C13714yes—
415C22×C8C23×C13711yescharacteristic
416C22×C8C23×C13711yescharacteristic
417C22×C8C23×C13711yescharacteristic
418C22×C8C23×C13711yescharacteristic
419C4⋊Q8—22no—
420C4⋊Q8—41no—
421#124—22no—
422#124—41no—
423C4×Q8—22no—
424C4×Q8—41no—
425C4×D4—22no—
426C4×D4—41no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4D4×C13711yescharacteristic
433C2×C4⋊C4D4×C13711yescharacteristic
434C2×C4⋊C4C23×C13711yescharacteristic
435C2×C4⋊C4C23×C13711yescharacteristic
436C2×C4⋊C4C23×C13711yescharacteristic
437C2×C4⋊C4C23×C13711yescharacteristic
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C42—21no—
444C2×C42C23×C13711yescharacteristic
445C2×C42C23×C13711yescharacteristic
446C2×C42C23×C13711yescharacteristic
447#107—22no—
448#106—22no—
449C4⋊C8—22no—
450#103—22no—
451#103—41no—
452#103—41no—
453#103—41no—
454#103—41no—
455#103—41no—
456#102—22no—
457#102—41no—
458#97—22no—
459#97—22no—
460C4×C8—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95D4×C13711yescharacteristic
474#95D4×C13711yescharacteristic
475C24—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×D4×C13712yes—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4C2×D4×C13712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4C2×D4×C13711yescharacteristic
511C22×C4C2×D4×C13711yescharacteristic
512C22×C4C2×D4×C13711yescharacteristic
513C22×C4C2×D4×C13711yescharacteristic
514C22×C4C2×D4×C13711yescharacteristic
515C22×C4C2×D4×C13711yescharacteristic
516C22×C4C24×C13711yescharacteristic
517Q16—44no—
518Q16—44no—
519SD16—28no—
520SD16—44no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8C2×D4×C13712yes—
530C2×C8#41×C13712yes—
531C2×C8#41×C13712yes—
532C2×C8#41×C13712yes—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—41no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—42no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C22×D4×C13711yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580D4—22no—
581D4—22no—
582D4—41no—
583D4—41no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4#137×C13712yes—
624C2×C4C22×D4×C13711yescharacteristic
625C2×C4C2×#41×C13711yescharacteristic
626C2×C4C2×#41×C13711yescharacteristic
627C2×C4C2×#41×C13711yescharacteristic
628C2×C4H(5,𝔽2)×C13711yescharacteristic
629C2×C4H(5,𝔽2)×C13711yescharacteristic
630C8—22no—
631C8—41no—
632C8—41no—
633C8#123×C13714yes—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22#532×C13711yescharacteristic
642C22D42×C13711yescharacteristic
643C22#550×C13711yescharacteristic
644C22C2×#137×C13711yescharacteristic
645C22#575×C13711yescharacteristic
646C22#577×C13711yescharacteristic
647C22#578×C13711yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4C2×#123×C13711yescharacteristic
662C4#540×C13711yescharacteristic
663C4#546×C13711yescharacteristic
664C4#559×C13711yescharacteristic
665C2—82no—
666C2#2445×C13711yescharacteristic
667C2#3172×C13711yescharacteristic
668C2#3178×C13711yescharacteristic
669C2#3266×C13711yescharacteristic
670C2#3269×C13711yescharacteristic
671C2#3398×C13711yescharacteristic
672C2#3401×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C22×D4
commutator, Frattini, cosocleC22×C4C24×C137
prime radicalC22×D4×C137C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C137 ◁ C4×C4⋊C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
4. #2446×C137C2semidirect
5. #2056×C137C2semidirect
7. #2043×C137C2semidirect
10. #1971×C137C2semidirect
11. #1969×C137C2semidirect
12. #1943×C137C2semidirect
13. #1878×C137C2semidirect
15. #1771×C137C2semidirect
336. #26256C137direct (N × H)
337. C137#26256direct (N × H)
341. #2446C2×C137semidirect
342. #2056C2×C137semidirect
344. #2043C2×C137semidirect
347. #1971C2×C137semidirect
348. #1969C2×C137semidirect
349. #1943C2×C137semidirect
350. #1878C2×C137semidirect
352. #1771C2×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#497×C1372
C2×C4×SD16×C1372
#2447×C1372
#2446×C1372
#2056×C1372
#2055×C1372
#2043×C1372
#2042×C1372
#1973×C1372
#1971×C1372
#1969×C1372
#1943×C1372
#1878×C1372
#1877×C1372
#1771×C1372
#26256137