Finite Group Databasebeta

← C137×#18274 #46867660

Subgroups — C137×#18274 #46867660

Order 35072.

1058 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3561×C137C211yesmaximal, characteristic, complemented
2#3110×C137C211yesmaximal, characteristic, complemented
3#3105×C137C211yesmaximal, characteristic, complemented
4#2540×C137C211yesmaximal, characteristic, complemented
5#1618×C137C212yesmaximal, complemented
6#1614×C137C212yesmaximal, complemented
7#1600×C137C212yesmaximal, complemented
8#1596×C137C212yesmaximal, complemented
9#1509×C137C211yesmaximal, characteristic, complemented
10#1503×C137C211yesmaximal, characteristic, complemented
11#1469×C137C211yesmaximal, characteristic, complemented
12#563×C137—21no—
13#562×C137—21no—
14#556×C137—21no—
15#551×C137—22no—
16D4×Q8×C137—21no—
17#548×C137—21no—
18#546×C137—21no—
19#543×C137C2212yes—
20#542×C137—21no—
21#542×C137—22no—
22#538×C137C2212yes—
23#536×C137—21no—
24#533×C137C2211yescharacteristic
25#529×C137C2211yescharacteristic
26C2×#124×C137C2211yescharacteristic
27C2×C22⋊Q8×C137—21no—
28C2×#121×C137—21no—
29C2×C4×D4×C137C2211yescharacteristic
30#484×C137C2211yescharacteristic
31#484×C137C2212yes—
32#481×C137C2211yescharacteristic
33#478×C137—21no—
34#474×C137—21no—
35#463×C137—21no—
36#461×C137—21no—
37#450×C137C2211yescharacteristic
38#450×C137C2212yes—
39#447×C137C2211yescharacteristic
40#440×C137—22no—
41C4×SD16×C137—21no—
42C4×D8×C137—21no—
43#432×C137C2211yescharacteristic
44#431×C137C2211yescharacteristic
45#399×C137C2212yes—
46#392×C137C2212yes—
47#390×C137—22no—
48C4×C4⋊C4×C137C2211yescharacteristic
49#328×C137C2212yes—
50#328×C137C2212yes—
51#328×C137C2212yes—
52#327×C137C2212yes—
53#323×C137C2212yes—
54#323×C137C2212yes—
55C2×#41×C137—21no—
56C22×Q8×C137—21no—
57C22×Q8×C137D411yescharacteristic
58C22×D4×C137—22no—
59C22×D4×C137D411yescharacteristic
60C22×D4×C137C2311yescharacteristic
61C23×C4×C137—21no—
62C2×SD16×C137—21no—
63C2×SD16×C137—22no—
64C2×D8×C137—21no—
65C4⋊Q8×C137—21no—
66C4⋊Q8×C137—22no—
67C4⋊Q8×C137D411yescharacteristic, complemented
68C4⋊Q8×C137D411yescharacteristic, complemented
69#126×C137—22no—
70#126×C137—22no—
71#126×C137—22no—
72#126×C137—21no—
73#125×C137—21no—
74#125×C137D411yescharacteristic, complemented
75#124×C137—21no—
76#124×C137—22no—
77#124×C137—22no—
78#124×C137—21no—
79#124×C137—21no—
80#124×C137—21no—
81#124×C137—21no—
82#124×C137D411yescharacteristic, complemented
83#123×C137—22no—
84#123×C137—22no—
85#123×C137—22no—
86#123×C137—21no—
87#123×C137—22no—
88C22⋊Q8×C137—22no—
89C22⋊Q8×C137—21no—
90C22⋊Q8×C137—22no—
91C22⋊Q8×C137—22no—
92C22⋊Q8×C137—22no—
93C22⋊Q8×C137—21no—
94C22⋊Q8×C137—22no—
95C22⋊Q8×C137—22no—
96C22⋊Q8×C137—22no—
97C22⋊Q8×C137—44no—
98C22⋊Q8×C137C2311yescharacteristic
99C22⋊Q8×C137C2312yes—
100#121×C137—21no—
101#121×C137—22no—
102#121×C137—22no—
103#121×C137—44no—
104#121×C137C2311yescharacteristic
105#120×C137—22no—
106C4×Q8×C137—21no—
107C4×Q8×C137—21no—
108C4×Q8×C137D411yescharacteristic, complemented
109C4×Q8×C137D412yescomplemented
110C4×D4×C137—21no—
111C4×D4×C137—22no—
112C4×D4×C137—21no—
113C4×D4×C137—22no—
114C4×D4×C137—21no—
115C4×D4×C137—21no—
116C4×D4×C137—21no—
117C4×D4×C137—21no—
118C4×D4×C137D411yescharacteristic, complemented
119#117×C137—22no—
120#117×C137—21no—
121#117×C137—21no—
122C2×C4⋊C4×C137—21no—
123C2×C4⋊C4×C137—22no—
124C2×C4⋊C4×C137C2311yescharacteristic
125C2×C22⋊C4×C137—22no—
126C2×C22⋊C4×C137—22no—
127C2×C22⋊C4×C137—21no—
128C2×C22⋊C4×C137—22no—
129C2×C22⋊C4×C137D412yes—
130C2×C22⋊C4×C137C2312yes—
131C2×C42×C137—21no—
132C2×C42×C137C2311yescharacteristic
133#107×C137—21no—
134#107×C137—22no—
135#106×C137—21no—
136C4⋊C8×C137—21no—
137C4⋊C8×C137—21no—
138#103×C137—21no—
139#103×C137—22no—
140#102×C137—21no—
141#102×C137—21no—
142#102×C137—21no—
143#102×C137—22no—
144C22⋊C8×C137C2311yescharacteristic
145C22⋊C8×C137C2311yescharacteristic
146C22⋊C8×C137C2312yes—
147#97×C137—21no—
148C4×C8×C137—21no—
149#95×C137C2312yes—
150C24×C137—21no—
151C24×C137C2×D412yes—
152#41×C137—82no—
153C2×Q8×C137—22no—
154C2×Q8×C137—21no—
155C2×Q8×C137—21no—
156C2×Q8×C137—21no—
157C2×Q8×C137—42no—
158C2×Q8×C137—82no—
159C2×Q8×C137C2×D411yescharacteristic
160C2×Q8×C137C2×D412yes—
161C2×D4×C137—21no—
162C2×D4×C137—22no—
163C2×D4×C137—22no—
164C2×D4×C137—21no—
165C2×D4×C137—21no—
166C2×D4×C137—21no—
167C2×D4×C137—21no—
168C2×D4×C137—42no—
169C2×D4×C137—44no—
170C2×D4×C137—42no—
171C2×D4×C137—44no—
172C2×D4×C137—82no—
173C2×D4×C137C2×D411yescharacteristic
174C22×C4×C137—22no—
175C22×C4×C137—22no—
176C22×C4×C137—22no—
177C22×C4×C137—22no—
178C22×C4×C137—21no—
179C22×C4×C137—21no—
180C22×C4×C137—42no—
181C22×C4×C137—42no—
182C22×C4×C137—41no—
183C22×C4×C137—41no—
184C22×C4×C137C2×D411yescharacteristic
185C22×C4×C137C2×D411yescharacteristic
186C22×C4×C137C2×D412yes—
187C22×C4×C137C2411yescharacteristic
188SD16×C137—42no—
189SD16×C137—44no—
190D8×C137—42no—
191C2×C8×C137—21no—
192C2×C8×C137—21no—
193C2×C8×C137—22no—
194C4⋊C4×C137—24no—
195C4⋊C4×C137—22no—
196C4⋊C4×C137—22no—
197C4⋊C4×C137—22no—
198C4⋊C4×C137—22no—
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—22no—
206C4⋊C4×C137—21no—
207C4⋊C4×C137—22no—
208C4⋊C4×C137—21no—
209C4⋊C4×C137—21no—
210C4⋊C4×C137—44no—
211C4⋊C4×C137C2×D411yescharacteristic
212C4⋊C4×C137C2×D411yescharacteristic
213C4⋊C4×C137C2×D412yes—
214C22⋊C4×C137—22no—
215C22⋊C4×C137—22no—
216C22⋊C4×C137—22no—
217C22⋊C4×C137—22no—
218C22⋊C4×C137—22no—
219C22⋊C4×C137—21no—
220C22⋊C4×C137—22no—
221C22⋊C4×C137—22no—
222C22⋊C4×C137—22no—
223C22⋊C4×C137—21no—
224C22⋊C4×C137—21no—
225C22⋊C4×C137—21no—
226C22⋊C4×C137—22no—
227C22⋊C4×C137—22no—
228C22⋊C4×C137—21no—
229C22⋊C4×C137—44no—
230C22⋊C4×C137—44no—
231C22⋊C4×C137—41no—
232C22⋊C4×C137—41no—
233C42×C137—22no—
234C42×C137—22no—
235C42×C137—21no—
236C42×C137—81no—
237C42×C137C2×D411yescharacteristic
238C42×C137C2×D411yescharacteristic
239C42×C137C2×D411yescharacteristic
240C42×C137C2×D411yescharacteristic
241C23×C137—22no—
242C23×C137—22no—
243C23×C137—21no—
244C23×C137—22no—
245C23×C137—22no—
246C23×C137—41no—
247C23×C137—41no—
248C23×C137—41no—
249C23×C137—42no—
250C23×C137—42no—
251C23×C137—41no—
252C23×C137—41no—
253C23×C137—41no—
254C23×C137C22×D411yescharacteristic
255Q8×C137—41no—
256Q8×C137—42no—
257Q8×C137—42no—
258Q8×C137—42no—
259Q8×C137—81no—
260Q8×C137—82no—
261D4×C137—22no—
262D4×C137—22no—
263D4×C137—41no—
264D4×C137—41no—
265D4×C137—41no—
266D4×C137—41no—
267D4×C137—41no—
268D4×C137—42no—
269D4×C137—81no—
270D4×C137—82no—
271D4×C137—82no—
272D4×C137—88no—
273C2×C4×C137—21no—
274C2×C4×C137—21no—
275C2×C4×C137—22no—
276C2×C4×C137—24no—
277C2×C4×C137—21no—
278C2×C4×C137—22no—
279C2×C4×C137—21no—
280C2×C4×C137—22no—
281C2×C4×C137—22no—
282C2×C4×C137—21no—
283C2×C4×C137—41no—
284C2×C4×C137—42no—
285C2×C4×C137—42no—
286C2×C4×C137—42no—
287C2×C4×C137—42no—
288C2×C4×C137—41no—
289C2×C4×C137—41no—
290C2×C4×C137—41no—
291C2×C4×C137—82no—
292C2×C4×C137—82no—
293C2×C4×C137—82no—
294C2×C4×C137—82no—
295C2×C4×C137—82no—
296C2×C4×C137#12011yescharacteristic
297C2×C4×C137#12011yescharacteristic
298C2×C4×C137#12011yescharacteristic
299C2×C4×C137#12011yescharacteristic
300C2×C4×C137C22×D411yescharacteristic
301C2×C4×C137C22×D411yescharacteristic
302C8×C137—41no—
303C8×C137—41no—
304C8×C137—42no—
305C22×C137—21no—
306C22×C137—21no—
307C22×C137—42no—
308C22×C137—42no—
309C22×C137—41no—
310C22×C137—42no—
311C22×C137—41no—
312C22×C137—42no—
313C22×C137—42no—
314C22×C137—42no—
315C22×C137—41no—
316C22×C137—82no—
317C22×C137—82no—
318C22×C137—81no—
319C22×C137—81no—
320C22×C137—81no—
321C22×C137—81no—
322C22×C137C2×#12011yescharacteristic
323C22×C137#57711yescharacteristic
324C22×C137#57811yescharacteristic
325C4×C137—21no—
326C4×C137—21no—
327C4×C137—21no—
328C4×C137—21no—
329C4×C137—21no—
330C4×C137—44no—
331C4×C137—41no—
332C4×C137—41no—
333C4×C137—42no—
334C4×C137—42no—
335C4×C137—41no—
336C4×C137—42no—
337C4×C137—81no—
338C4×C137#45312yes—
339C2×C137—21no—
340C2×C137—21no—
341C2×C137—81no—
342C2×C137—82no—
343C2×C137—82no—
344C2×C137#301311yescharacteristic
345C2×C137C2×#45311yescharacteristic
346C2×C137#302511yescharacteristic
347#18274C13711yesmaximal, characteristic, direct product factor, Sylow
348C137#1827411yescharacteristic, direct product factor, Sylow
349#3561C2×C13711yescharacteristic, complemented
350#3110C2×C13711yescharacteristic, complemented
351#3105C2×C13711yescharacteristic, complemented
352#2540C2×C13711yescharacteristic, complemented
353#1618C2×C13712yescomplemented
354#1614C2×C13712yescomplemented
355#1600C2×C13712yescomplemented
356#1596C2×C13712yescomplemented
357#1509C2×C13711yescharacteristic, complemented
358#1503C2×C13711yescharacteristic, complemented
359#1469C2×C13711yescharacteristic, complemented
360#563—21no—
361#562—21no—
362#556—21no—
363#551—22no—
364D4×Q8—21no—
365#548—21no—
366#546—21no—
367#543C22×C13712yes—
368#542—21no—
369#542—22no—
370#538C22×C13712yes—
371#536—21no—
372#533C22×C13711yescharacteristic
373#529C22×C13711yescharacteristic
374C2×#124C22×C13711yescharacteristic
375C2×C22⋊Q8—21no—
376C2×#121—21no—
377C2×C4×D4C22×C13711yescharacteristic
378#484C22×C13711yescharacteristic
379#484C22×C13712yes—
380#481C22×C13711yescharacteristic
381#478—21no—
382#474—21no—
383#463—21no—
384#461—21no—
385#450C22×C13711yescharacteristic
386#450C22×C13712yes—
387#447C22×C13711yescharacteristic
388#440—22no—
389C4×SD16—21no—
390C4×D8—21no—
391#432C22×C13711yescharacteristic
392#431C22×C13711yescharacteristic
393#399C22×C13712yes—
394#392C22×C13712yes—
395#390—22no—
396C4×C4⋊C4C22×C13711yescharacteristic
397#328C22×C13712yes—
398#328C22×C13712yes—
399#328C22×C13712yes—
400#327C22×C13712yes—
401#323C22×C13712yes—
402#323C22×C13712yes—
403C2×#41—21no—
404C22×Q8—21no—
405C22×Q8D4×C13711yescharacteristic
406C22×D4—22no—
407C22×D4D4×C13711yescharacteristic
408C22×D4C23×C13711yescharacteristic
409C23×C4—21no—
410C2×SD16—21no—
411C2×SD16—22no—
412C2×D8—21no—
413C4⋊Q8—21no—
414C4⋊Q8—22no—
415C4⋊Q8D4×C13711yescharacteristic, complemented
416C4⋊Q8D4×C13711yescharacteristic, complemented
417#126—22no—
418#126—22no—
419#126—22no—
420#126—21no—
421#125—21no—
422#125D4×C13711yescharacteristic, complemented
423#124—21no—
424#124—22no—
425#124—22no—
426#124—21no—
427#124—21no—
428#124—21no—
429#124—21no—
430#124D4×C13711yescharacteristic, complemented
431#123—22no—
432#123—22no—
433#123—22no—
434#123—21no—
435#123—22no—
436C22⋊Q8—22no—
437C22⋊Q8—21no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441C22⋊Q8—21no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—44no—
446C22⋊Q8C23×C13711yescharacteristic
447C22⋊Q8C23×C13712yes—
448#121—21no—
449#121—22no—
450#121—22no—
451#121—44no—
452#121C23×C13711yescharacteristic
453#120—22no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8D4×C13711yescharacteristic, complemented
457C4×Q8D4×C13712yescomplemented
458C4×D4—21no—
459C4×D4—22no—
460C4×D4—21no—
461C4×D4—22no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4D4×C13711yescharacteristic, complemented
467#117—22no—
468#117—21no—
469#117—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4C23×C13711yescharacteristic
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—22no—
477C2×C22⋊C4D4×C13712yes—
478C2×C22⋊C4C23×C13712yes—
479C2×C42—21no—
480C2×C42C23×C13711yescharacteristic
481#107—21no—
482#107—22no—
483#106—21no—
484C4⋊C8—21no—
485C4⋊C8—21no—
486#103—21no—
487#103—22no—
488#102—21no—
489#102—21no—
490#102—21no—
491#102—22no—
492C22⋊C8C23×C13712yes—
493C22⋊C8C23×C13711yescharacteristic
494C22⋊C8C23×C13711yescharacteristic
495#97—21no—
496C4×C8—21no—
497#95C23×C13712yes—
498C24—21no—
499C24C2×D4×C13712yes—
500#41—82no—
501C2×Q8—22no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8—82no—
507C2×Q8C2×D4×C13711yescharacteristic
508C2×Q8C2×D4×C13712yes—
509C2×D4—21no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—42no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—82no—
521C2×D4C2×D4×C13711yescharacteristic
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4C2×D4×C13711yescharacteristic
533C22×C4C2×D4×C13711yescharacteristic
534C22×C4C2×D4×C13712yes—
535C22×C4C24×C13711yescharacteristic
536SD16—42no—
537SD16—44no—
538D8—42no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—22no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—44no—
559C4⋊C4C2×D4×C13711yescharacteristic
560C4⋊C4C2×D4×C13711yescharacteristic
561C4⋊C4C2×D4×C13712yes—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—21no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C42—22no—
582C42—22no—
583C42—21no—
584C42—81no—
585C42C2×D4×C13711yescharacteristic
586C42C2×D4×C13711yescharacteristic
587C42C2×D4×C13711yescharacteristic
588C42C2×D4×C13711yescharacteristic
589C23—22no—
590C23—22no—
591C23—21no—
592C23—22no—
593C23—22no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C22×D4×C13711yescharacteristic
603Q8—41no—
604Q8—42no—
605Q8—42no—
606Q8—42no—
607Q8—81no—
608Q8—82no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—42no—
617D4—81no—
618D4—82no—
619D4—82no—
620D4—88no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—82no—
640C2×C4—82no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4#120×C13711yescharacteristic
645C2×C4#120×C13711yescharacteristic
646C2×C4#120×C13711yescharacteristic
647C2×C4#120×C13711yescharacteristic
648C2×C4C22×D4×C13711yescharacteristic
649C2×C4C22×D4×C13711yescharacteristic
650C8—41no—
651C8—41no—
652C8—42no—
653C22—21no—
654C22—21no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—41no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—41no—
664C22—82no—
665C22—82no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22C2×#120×C13711yescharacteristic
671C22#577×C13711yescharacteristic
672C22#578×C13711yescharacteristic
673C4—21no—
674C4—21no—
675C4—21no—
676C4—21no—
677C4—21no—
678C4—44no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—81no—
686C4#453×C13712yes—
687C2—21no—
688C2—21no—
689C2—82no—
690C2—82no—
691C2—81no—
692C2#3013×C13711yescharacteristic
693C2C2×#453×C13711yescharacteristic
694C2#3025×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC22×C4C24×C137
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C137 ◁ C2×C42×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3561×C137C2semidirect
2. #3110×C137C2semidirect
3. #3105×C137C2semidirect
4. #2540×C137C2semidirect
5. #1618×C137C2semidirect
6. #1614×C137C2semidirect
7. #1600×C137C2semidirect
8. #1596×C137C2semidirect
9. #1509×C137C2semidirect
10. #1503×C137C2semidirect
11. #1469×C137C2semidirect
67. C4⋊Q8×C137D4semidirect
68. C4⋊Q8×C137D4semidirect
74. #125×C137D4semidirect
82. #124×C137D4semidirect
108. C4×Q8×C137D4semidirect
109. C4×Q8×C137D4semidirect
118. C4×D4×C137D4semidirect
347. #18274C137direct (N × H)
348. C137#18274direct (N × H)
349. #3561C2×C137semidirect
350. #3110C2×C137semidirect
351. #3105C2×C137semidirect
352. #2540C2×C137semidirect
353. #1618C2×C137semidirect
354. #1614C2×C137semidirect
355. #1600C2×C137semidirect
356. #1596C2×C137semidirect
357. #1509C2×C137semidirect
358. #1503C2×C137semidirect
359. #1469C2×C137semidirect
415. C4⋊Q8D4×C137semidirect
416. C4⋊Q8D4×C137semidirect
422. #125D4×C137semidirect
430. #124D4×C137semidirect
456. C4×Q8D4×C137semidirect
457. C4×Q8D4×C137semidirect
466. C4×D4D4×C137semidirect

Maximal subgroups

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

subgroupindex
#3561×C1372
#3110×C1372
#3105×C1372
#2540×C1372
#1618×C1372
#1614×C1372
#1600×C1372
#1596×C1372
#1509×C1372
#1503×C1372
#1469×C1372
#18274137