Finite Group Databasebeta

← C137×#24262 #46873648

Subgroups — C137×#24262 #46873648

Order 35072.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C137C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C137C212yesmaximal, complemented
3#2617×C137C212yesmaximal, complemented
4#2321×C137C211yesmaximal, characteristic, complemented
5#2044×C137C212yesmaximal, complemented
6#2021×C137C212yesmaximal, complemented
7#1964×C137C212yesmaximal, complemented
8#1799×C137C211yesmaximal, characteristic, complemented
9#1790×C137C212yesmaximal, complemented
10C2×H(5,𝔽2)×C137C2212yes—
11#547×C137—22no—
12#546×C137—24no—
13D42×C137—22no—
14#537×C137—21no—
15#534×C137—21no—
16#534×C137C2212yes—
17#532×C137—21no—
18C2×#121×C137—21no—
19C2×#121×C137C2212yes—
20C2×#120×C137C2211yescharacteristic
21C2×#120×C137C2214yescomplemented
22C2×C4×D4×C137C2211yescharacteristic
23C22×C22⋊C4×C137C2211yescharacteristic, complemented
24B(4,𝔽2)×C137—28no—
25C2×#99×C137C2212yes—
26C2×#99×C137C2214yescomplemented
27C2×#99×C137C2214yescomplemented
28#397×C137—22no—
29#394×C137—24no—
30#392×C137—22no—
31#390×C137—21no—
32#388×C137—21no—
33#388×C137—21no—
34#386×C137—21no—
35#386×C137C2211yescharacteristic
36#386×C137C2214yescomplemented
37#385×C137C2211yescharacteristic, complemented
38#380×C137C2212yescomplemented
39#379×C137C2211yescharacteristic, complemented
40C4×C22⋊C4×C137C2211yescharacteristic, complemented
41#342×C137C2212yescomplemented
42C25×C137C2311yescharacteristic
43H(5,𝔽2)×C137—24no—
44H(5,𝔽2)×C137—24no—
45H(5,𝔽2)×C137—44no—
46C2×#41×C137—22no—
47C2×#41×C137—24no—
48C22×D4×C137—22no—
49C22×D4×C137—24no—
50C22×D4×C137—21no—
51C22×D4×C137—21no—
52C22×D4×C137—24no—
53C22×D4×C137D412yescomplemented
54C22×D4×C137C2314yes—
55C22×D4×C137C2311yescharacteristic
56C23×C4×C137D411yescharacteristic, complemented
57C23×C4×C137C2311yescharacteristic
58C23×C4×C137C2311yescharacteristic
59C4⋊Q8×C137—21no—
60#127×C137—21no—
61#124×C137—22no—
62#123×C137—24no—
63#123×C137—24no—
64C22⋊Q8×C137—24no—
65#121×C137—22no—
66#121×C137—22no—
67#121×C137—24no—
68#121×C137—22no—
69#121×C137—22no—
70#121×C137—22no—
71#121×C137—22no—
72#121×C137—22no—
73#121×C137—22no—
74#120×C137—24no—
75#120×C137—24no—
76#120×C137—22no—
77#120×C137—28no—
78#120×C137—44no—
79#120×C137D414yescomplemented
80C4×D4×C137—22no—
81C4×D4×C137—22no—
82C4×D4×C137—22no—
83C4×D4×C137—22no—
84C2×C4⋊C4×C137—21no—
85C2×C4⋊C4×C137—22no—
86C2×C4⋊C4×C137—21no—
87C2×C4⋊C4×C137D411yescharacteristic, complemented
88C2×C4⋊C4×C137D412yescomplemented
89C2×C22⋊C4×C137—22no—
90C2×C22⋊C4×C137—21no—
91C2×C22⋊C4×C137—21no—
92C2×C22⋊C4×C137—21no—
93C2×C22⋊C4×C137—22no—
94C2×C22⋊C4×C137—22no—
95C2×C22⋊C4×C137—24no—
96C2×C22⋊C4×C137—21no—
97C2×C22⋊C4×C137—24no—
98C2×C22⋊C4×C137—21no—
99C2×C22⋊C4×C137—21no—
100C2×C22⋊C4×C137D411yescharacteristic, complemented
101C2×C22⋊C4×C137D414yescomplemented
102C2×C22⋊C4×C137C2311yescharacteristic
103C2×C22⋊C4×C137C2314yes—
104C2×C22⋊C4×C137C2311yescharacteristic
105C2×C22⋊C4×C137C2311yescharacteristic
106C2×C42×C137—21no—
107C2×C42×C137D411yescharacteristic, complemented
108#99×C137—24no—
109#99×C137—28no—
110#99×C137—44no—
111#95×C137—21no—
112#95×C137—22no—
113#95×C137—21no—
114#95×C137—21no—
115#95×C137—24no—
116C24×C137—22no—
117C24×C137—21no—
118C24×C137—22no—
119C24×C137—21no—
120C24×C137—22no—
121C24×C137—81no—
122C24×C137—81no—
123C24×C137C2×D414yes—
124C24×C137C2×D411yescharacteristic
125C24×C137C2×D412yescomplemented
126C24×C137C2411yescharacteristic
127#41×C137—48no—
128#41×C137—48no—
129#41×C137—44no—
130#41×C137—44no—
131C2×Q8×C137—22no—
132C2×D4×C137—22no—
133C2×D4×C137—22no—
134C2×D4×C137—24no—
135C2×D4×C137—22no—
136C2×D4×C137—24no—
137C2×D4×C137—24no—
138C2×D4×C137—24no—
139C2×D4×C137—24no—
140C2×D4×C137—24no—
141C2×D4×C137—24no—
142C2×D4×C137—22no—
143C2×D4×C137—22no—
144C2×D4×C137—24no—
145C2×D4×C137—22no—
146C2×D4×C137—22no—
147C2×D4×C137—48no—
148C2×D4×C137—48no—
149C2×D4×C137—44no—
150C2×D4×C137—44no—
151C2×D4×C137—48no—
152C2×D4×C137—82no—
153C2×D4×C137—82no—
154C2×D4×C137—81no—
155C2×D4×C137—81no—
156C2×D4×C137—84no—
157C2×D4×C137—84no—
158C2×D4×C137C2×D412yes—
159C2×D4×C137#4112yes—
160C22×C4×C137—22no—
161C22×C4×C137—24no—
162C22×C4×C137—21no—
163C22×C4×C137—21no—
164C22×C4×C137—21no—
165C22×C4×C137—21no—
166C22×C4×C137—22no—
167C22×C4×C137—21no—
168C22×C4×C137—24no—
169C22×C4×C137—81no—
170C22×C4×C137—81no—
171C22×C4×C137—81no—
172C22×C4×C137C2×D414yes—
173C22×C4×C137C2×D411yescharacteristic
174C22×C4×C137C2×D411yescharacteristic
175C22×C4×C137C2×D411yescharacteristic
176C22×C4×C137C2×D411yescharacteristic
177C22×C4×C137C2×D412yes—
178C22×C4×C137C2×D411yescharacteristic
179C22×C4×C137C2×D412yes—
180C4⋊C4×C137—22no—
181C4⋊C4×C137—22no—
182C4⋊C4×C137—22no—
183C4⋊C4×C137—22no—
184C4⋊C4×C137—22no—
185C4⋊C4×C137—82no—
186C4⋊C4×C137—81no—
187C22⋊C4×C137—24no—
188C22⋊C4×C137—24no—
189C22⋊C4×C137—22no—
190C22⋊C4×C137—21no—
191C22⋊C4×C137—24no—
192C22⋊C4×C137—22no—
193C22⋊C4×C137—24no—
194C22⋊C4×C137—24no—
195C22⋊C4×C137—24no—
196C22⋊C4×C137—22no—
197C22⋊C4×C137—24no—
198C22⋊C4×C137—48no—
199C22⋊C4×C137—41no—
200C22⋊C4×C137—41no—
201C22⋊C4×C137—42no—
202C22⋊C4×C137—81no—
203C22⋊C4×C137—81no—
204C22⋊C4×C137—81no—
205C22⋊C4×C137—84no—
206C22⋊C4×C137C2×D412yescomplemented
207C42×C137—21no—
208C42×C137—21no—
209C42×C137—81no—
210C23×C137—21no—
211C23×C137—21no—
212C23×C137—24no—
213C23×C137—22no—
214C23×C137—24no—
215C23×C137—24no—
216C23×C137—24no—
217C23×C137—41no—
218C23×C137—41no—
219C23×C137—41no—
220C23×C137—41no—
221C23×C137—41no—
222C23×C137—41no—
223C23×C137—41no—
224C23×C137—44no—
225C23×C137—41no—
226C23×C137—44no—
227C23×C137—44no—
228C23×C137—44no—
229C23×C137—44no—
230C23×C137—41no—
231C23×C137—41no—
232C23×C137—42no—
233C23×C137—82no—
234C23×C137—82no—
235C23×C137—84no—
236C23×C137—82no—
237C23×C137—82no—
238C23×C137#12112yes—
239C23×C137C22×D411yescharacteristic
240C23×C137C22×D412yes—
241C23×C137C22×D411yescharacteristic
242C23×C137C2×#4111yescharacteristic
243C23×C137H(5,𝔽2)12yes—
244Q8×C137—44no—
245D4×C137—24no—
246D4×C137—24no—
247D4×C137—44no—
248D4×C137—44no—
249D4×C137—48no—
250D4×C137—44no—
251D4×C137—44no—
252D4×C137—44no—
253D4×C137—44no—
254D4×C137—82no—
255D4×C137—82no—
256D4×C137—84no—
257D4×C137—82no—
258D4×C137—816no—
259C2×C4×C137—21no—
260C2×C4×C137—21no—
261C2×C4×C137—21no—
262C2×C4×C137—21no—
263C2×C4×C137—24no—
264C2×C4×C137—22no—
265C2×C4×C137—24no—
266C2×C4×C137—24no—
267C2×C4×C137—41no—
268C2×C4×C137—42no—
269C2×C4×C137—41no—
270C2×C4×C137—42no—
271C2×C4×C137—42no—
272C2×C4×C137—48no—
273C2×C4×C137—41no—
274C2×C4×C137—41no—
275C2×C4×C137—44no—
276C2×C4×C137—41no—
277C2×C4×C137—41no—
278C2×C4×C137—41no—
279C2×C4×C137—41no—
280C2×C4×C137—41no—
281C2×C4×C137—44no—
282C2×C4×C137—44no—
283C2×C4×C137—41no—
284C2×C4×C137—44no—
285C2×C4×C137—41no—
286C2×C4×C137—41no—
287C2×C4×C137—44no—
288C2×C4×C137—81no—
289C2×C4×C137#12011yescharacteristic
290C2×C4×C137#12011yescharacteristic
291C2×C4×C137#12012yes—
292C2×C4×C137#12112yes—
293C22×C137—21no—
294C22×C137—22no—
295C22×C137—21no—
296C22×C137—22no—
297C22×C137—22no—
298C22×C137—41no—
299C22×C137—41no—
300C22×C137—42no—
301C22×C137—42no—
302C22×C137—42no—
303C22×C137—48no—
304C22×C137—42no—
305C22×C137—41no—
306C22×C137—41no—
307C22×C137—44no—
308C22×C137—42no—
309C22×C137—44no—
310C22×C137—44no—
311C22×C137—81no—
312C22×C137—84no—
313C22×C137—84no—
314C22×C137—81no—
315C22×C137—81no—
316C22×C137—84no—
317C22×C137—81no—
318C22×C137—81no—
319C22×C137—164no—
320C22×C137C2×#12011yescharacteristic
321C22×C137C2×#12111yescharacteristic
322C22×C137#53511yescharacteristic
323C22×C137D4212yes—
324C22×C137#54612yes—
325C4×C137—22no—
326C4×C137—21no—
327C4×C137—21no—
328C4×C137—22no—
329C4×C137—42no—
330C4×C137—44no—
331C4×C137—41no—
332C4×C137—41no—
333C4×C137—81no—
334C4×C137—84no—
335C4×C137—81no—
336C2×C137—21no—
337C2×C137—22no—
338C2×C137—21no—
339C2×C137—22no—
340C2×C137—42no—
341C2×C137—82no—
342C2×C137—84no—
343C2×C137#240811yescharacteristic
344C2×C137#302611yescharacteristic
345C2×C137#302711yescharacteristic
346#24262C13711yesmaximal, characteristic, direct product factor, Sylow
347C137#2426211yescharacteristic, direct product factor, Sylow
348#3496C2×C13711yescharacteristic, complemented
349C2×B(4,𝔽2)C2×C13712yescomplemented
350#2617C2×C13712yescomplemented
351#2321C2×C13711yescharacteristic, complemented
352#2044C2×C13712yescomplemented
353#2021C2×C13712yescomplemented
354#1964C2×C13712yescomplemented
355#1799C2×C13711yescharacteristic, complemented
356#1790C2×C13712yescomplemented
357C2×H(5,𝔽2)C22×C13712yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C13712yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C13712yes—
367C2×#120C22×C13711yescharacteristic
368C2×#120C22×C13714yescomplemented
369C2×C4×D4C22×C13711yescharacteristic
370C22×C22⋊C4C22×C13711yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C13712yes—
373C2×#99C22×C13714yescomplemented
374C2×#99C22×C13714yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C13711yescharacteristic
383#386C22×C13714yescomplemented
384#385C22×C13711yescharacteristic, complemented
385#380C22×C13712yescomplemented
386#379C22×C13711yescharacteristic, complemented
387C4×C22⋊C4C22×C13711yescharacteristic, complemented
388#342C22×C13712yescomplemented
389C25C23×C13711yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C13712yescomplemented
401C22×D4C23×C13714yes—
402C22×D4C23×C13711yescharacteristic
403C23×C4D4×C13711yescharacteristic, complemented
404C23×C4C23×C13711yescharacteristic
405C23×C4C23×C13711yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C13714yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C13711yescharacteristic, complemented
435C2×C4⋊C4D4×C13712yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C13711yescharacteristic, complemented
448C2×C22⋊C4D4×C13714yescomplemented
449C2×C22⋊C4C23×C13714yes—
450C2×C22⋊C4C23×C13711yescharacteristic
451C2×C22⋊C4C23×C13711yescharacteristic
452C2×C22⋊C4C23×C13711yescharacteristic
453C2×C42—21no—
454C2×C42D4×C13711yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C13714yes—
471C24C2×D4×C13711yescharacteristic
472C24C2×D4×C13712yescomplemented
473C24C24×C13711yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C13712yes—
506C2×D4#41×C13712yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C13714yes—
520C22×C4C2×D4×C13711yescharacteristic
521C22×C4C2×D4×C13711yescharacteristic
522C22×C4C2×D4×C13711yescharacteristic
523C22×C4C2×D4×C13711yescharacteristic
524C22×C4C2×D4×C13712yes—
525C22×C4C2×D4×C13711yescharacteristic
526C22×C4C2×D4×C13712yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C13712yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C13712yes—
586C23C22×D4×C13711yescharacteristic
587C23C22×D4×C13712yes—
588C23C22×D4×C13711yescharacteristic
589C23C2×#41×C13711yescharacteristic
590C23H(5,𝔽2)×C13712yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C13711yescharacteristic
637C2×C4#120×C13711yescharacteristic
638C2×C4#120×C13712yes—
639C2×C4#121×C13712yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C13711yescharacteristic
668C22C2×#121×C13711yescharacteristic
669C22#535×C13711yescharacteristic
670C22D42×C13712yes—
671C22#546×C13712yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2#2408×C13711yescharacteristic
691C2#3026×C13711yescharacteristic
692C2#3027×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC24C24×C137
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C137 ◁ C23×C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C137C2semidirect
2. C2×B(4,𝔽2)×C137C2semidirect
3. #2617×C137C2semidirect
4. #2321×C137C2semidirect
5. #2044×C137C2semidirect
6. #2021×C137C2semidirect
7. #1964×C137C2semidirect
8. #1799×C137C2semidirect
9. #1790×C137C2semidirect
21. C2×#120×C137C22semidirect
23. C22×C22⋊C4×C137C22semidirect
26. C2×#99×C137C22semidirect
27. C2×#99×C137C22semidirect
36. #386×C137C22semidirect
37. #385×C137C22semidirect
38. #380×C137C22semidirect
39. #379×C137C22semidirect
40. C4×C22⋊C4×C137C22semidirect
41. #342×C137C22semidirect
53. C22×D4×C137D4semidirect
56. C23×C4×C137D4semidirect
79. #120×C137D4semidirect
87. C2×C4⋊C4×C137D4semidirect
88. C2×C4⋊C4×C137D4semidirect
100. C2×C22⋊C4×C137D4semidirect
101. C2×C22⋊C4×C137D4semidirect
107. C2×C42×C137D4semidirect
125. C24×C137C2×D4semidirect
206. C22⋊C4×C137C2×D4semidirect
346. #24262C137direct (N × H)
347. C137#24262direct (N × H)
348. #3496C2×C137semidirect
349. C2×B(4,𝔽2)C2×C137semidirect
350. #2617C2×C137semidirect
351. #2321C2×C137semidirect
352. #2044C2×C137semidirect
353. #2021C2×C137semidirect
354. #1964C2×C137semidirect
355. #1799C2×C137semidirect
356. #1790C2×C137semidirect
368. C2×#120C22×C137semidirect
370. C22×C22⋊C4C22×C137semidirect
373. C2×#99C22×C137semidirect
374. C2×#99C22×C137semidirect
383. #386C22×C137semidirect
384. #385C22×C137semidirect
385. #380C22×C137semidirect
386. #379C22×C137semidirect
387. C4×C22⋊C4C22×C137semidirect
388. #342C22×C137semidirect
400. C22×D4D4×C137semidirect
403. C23×C4D4×C137semidirect
426. #120D4×C137semidirect
434. C2×C4⋊C4D4×C137semidirect
435. C2×C4⋊C4D4×C137semidirect
447. C2×C22⋊C4D4×C137semidirect
448. C2×C22⋊C4D4×C137semidirect
454. C2×C42D4×C137semidirect
472. C24C2×D4×C137semidirect
553. C22⋊C4C2×D4×C137semidirect

Maximal subgroups

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

subgroupindex
#3496×C1372
C2×B(4,𝔽2)×C1372
#2617×C1372
#2321×C1372
#2044×C1372
#2021×C1372
#1964×C1372
#1799×C1372
#1790×C1372
#24262137