Finite Group Databasebeta

← C137×#16601 #46865987

Subgroups — C137×#16601 #46865987

Order 35072.

1750 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C137C211yesmaximal, characteristic
2C2×#400×C137C211yesmaximal, characteristic, complemented
3C2×#395×C137C211yesmaximal, characteristic, complemented
4C2×#385×C137C211yesmaximal, characteristic
5#1446×C137C211yesmaximal, characteristic, complemented
6#1445×C137C211yesmaximal, characteristic, complemented
7#1444×C137C212yesmaximal, complemented
8#1442×C137C212yesmaximal, complemented
9#1440×C137C212yesmaximal
10#1439×C137C212yesmaximal
11C22⋊#95×C137C211yesmaximal, characteristic
12C23×Q8×C137C2211yescharacteristic
13C24×C4×C137C2211yescharacteristic
14C2×C22⋊Q8×C137—24no—
15C2×C22⋊Q8×C137—24no—
16C2×C22⋊Q8×C137—24no—
17C22×C4⋊C4×C137C2211yescharacteristic
18C22×C4⋊C4×C137C2212yes—
19C22×C4⋊C4×C137C2211yescharacteristic
20C22×C4⋊C4×C137C2211yescharacteristic
21C22×C4⋊C4×C137C2212yes—
22C22×C22⋊C4×C137C2212yes—
23C22×C22⋊C4×C137C2212yes—
24C22×C22⋊C4×C137C2211yescharacteristic
25C22×C22⋊C4×C137C2211yescharacteristic
26#400×C137—24no—
27#395×C137—24no—
28#385×C137—24no—
29C2×#95×C137C2211yescharacteristic
30C2×#95×C137C2211yescharacteristic
31C2×#95×C137C2211yescharacteristic
32C2×#95×C137C2212yes—
33C2×#95×C137C2211yescharacteristic
34C2×#95×C137C2212yes—
35C2×#95×C137C2212yes—
36C2×#95×C137C2212yes—
37C2×#95×C137C2212yes—
38C2×#95×C137C2212yes—
39C2×#95×C137C2212yes—
40C2×#95×C137C2212yes—
41C25×C137C2311yescharacteristic
42C22×Q8×C137—22no—
43C22×Q8×C137—22no—
44C22×Q8×C137—42no—
45C22×Q8×C137—42no—
46C22×Q8×C137D414yes—
47C23×C4×C137—22no—
48C23×C4×C137—22no—
49C23×C4×C137—42no—
50C23×C4×C137—42no—
51C23×C4×C137D414yes—
52C23×C4×C137C2312yes—
53C23×C4×C137C2311yescharacteristic
54C23×C4×C137C2311yescharacteristic
55C23×C4×C137C2312yes—
56C23×C4×C137C2312yes—
57C23×C4×C137C2311yescharacteristic
58C23×C4×C137C2311yescharacteristic
59C23×C4×C137C2311yescharacteristic
60C23×C4×C137C2312yes—
61C23×C4×C137C2311yescharacteristic
62C22⋊Q8×C137—232no—
63C2×C4⋊C4×C137—24no—
64C2×C4⋊C4×C137—24no—
65C2×C4⋊C4×C137—24no—
66C2×C4⋊C4×C137—22no—
67C2×C4⋊C4×C137—22no—
68C2×C4⋊C4×C137—22no—
69C2×C4⋊C4×C137—22no—
70C2×C4⋊C4×C137—24no—
71C2×C4⋊C4×C137—22no—
72C2×C4⋊C4×C137—22no—
73C2×C4⋊C4×C137—42no—
74C2×C4⋊C4×C137—42no—
75C2×C4⋊C4×C137—42no—
76C2×C4⋊C4×C137D414yes—
77C2×C22⋊C4×C137—22no—
78C2×C22⋊C4×C137—24no—
79C2×C22⋊C4×C137—22no—
80C2×C22⋊C4×C137—24no—
81C2×C22⋊C4×C137—24no—
82C2×C22⋊C4×C137—22no—
83C2×C22⋊C4×C137—24no—
84C2×C22⋊C4×C137—24no—
85C2×C22⋊C4×C137—42no—
86C2×C22⋊C4×C137—42no—
87C2×C22⋊C4×C137Q814yescomplemented
88#95×C137—22no—
89#95×C137—22no—
90#95×C137—24no—
91#95×C137—22no—
92#95×C137—24no—
93#95×C137—22no—
94#95×C137—24no—
95#95×C137—24no—
96#95×C137—24no—
97#95×C137—42no—
98#95×C137—42no—
99#95×C137—42no—
100C24×C137—21no—
101C24×C137—21no—
102C24×C137—22no—
103C24×C137—22no—
104C24×C137—22no—
105C24×C137—22no—
106C24×C137—21no—
107C24×C137—21no—
108C24×C137C2×D412yes—
109C24×C137C2×Q812yes—
110C24×C137#4112yes—
111C24×C137C2411yescharacteristic
112C2×Q8×C137—28no—
113C2×Q8×C137—48no—
114C2×Q8×C137—44no—
115C2×Q8×C137—44no—
116C2×Q8×C137—48no—
117C22×C4×C137—22no—
118C22×C4×C137—22no—
119C22×C4×C137—22no—
120C22×C4×C137—21no—
121C22×C4×C137—21no—
122C22×C4×C137—21no—
123C22×C4×C137—21no—
124C22×C4×C137—22no—
125C22×C4×C137—22no—
126C22×C4×C137—22no—
127C22×C4×C137—22no—
128C22×C4×C137—21no—
129C22×C4×C137—21no—
130C22×C4×C137—22no—
131C22×C4×C137—22no—
132C22×C4×C137—22no—
133C22×C4×C137—21no—
134C22×C4×C137—21no—
135C22×C4×C137—22no—
136C22×C4×C137—22no—
137C22×C4×C137—22no—
138C22×C4×C137—22no—
139C22×C4×C137—22no—
140C22×C4×C137—22no—
141C22×C4×C137—22no—
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—21no—
150C22×C4×C137—21no—
151C22×C4×C137—28no—
152C22×C4×C137—22no—
153C22×C4×C137—21no—
154C22×C4×C137—21no—
155C22×C4×C137—21no—
156C22×C4×C137—21no—
157C22×C4×C137—22no—
158C22×C4×C137—22no—
159C22×C4×C137—22no—
160C22×C4×C137—22no—
161C22×C4×C137—22no—
162C22×C4×C137—22no—
163C22×C4×C137—22no—
164C22×C4×C137—22no—
165C22×C4×C137—21no—
166C22×C4×C137—21no—
167C22×C4×C137—22no—
168C22×C4×C137—22no—
169C22×C4×C137—44no—
170C22×C4×C137—44no—
171C22×C4×C137—48no—
172C22×C4×C137—48no—
173C22×C4×C137C2×D414yes—
174C22×C4×C137C2×D414yes—
175C22×C4×C137C2×D412yes—
176C22×C4×C137C2×D412yes—
177C22×C4×C137C2×D412yes—
178C22×C4×C137C2×D412yes—
179C22×C4×C137C2×Q812yes—
180C22×C4×C137C2×Q812yes—
181C22×C4×C137#4114yes—
182C4⋊C4×C137—216no—
183C4⋊C4×C137—28no—
184C4⋊C4×C137—44no—
185C4⋊C4×C137—48no—
186C4⋊C4×C137—44no—
187C22⋊C4×C137—216no—
188C22⋊C4×C137—28no—
189C22⋊C4×C137—48no—
190C22⋊C4×C137—44no—
191C23×C137—22no—
192C23×C137—22no—
193C23×C137—22no—
194C23×C137—22no—
195C23×C137—22no—
196C23×C137—22no—
197C23×C137—24no—
198C23×C137—24no—
199C23×C137—22no—
200C23×C137—22no—
201C23×C137—22no—
202C23×C137—22no—
203C23×C137—24no—
204C23×C137—24no—
205C23×C137—42no—
206C23×C137—42no—
207C23×C137—42no—
208C23×C137—42no—
209C23×C137—42no—
210C23×C137—42no—
211C23×C137—42no—
212C23×C137—42no—
213C23×C137C22⋊Q814yes—
214C23×C137C22×D411yescharacteristic
215C23×C137C22×D411yescharacteristic
216C23×C137C22×D411yescharacteristic
217C23×C137C22×Q811yescharacteristic
218C23×C137C2×#4111yescharacteristic
219C23×C137C2×#4112yes—
220C23×C137H(5,𝔽2)12yes—
221C23×C137H(5,𝔽2)12yes—
222C23×C1372−1+411yescharacteristic
223C23×C1372−1+412yes—
224C23×C1372−1+411yescharacteristic
225Q8×C137—416no—
226C2×C4×C137—22no—
227C2×C4×C137—22no—
228C2×C4×C137—24no—
229C2×C4×C137—24no—
230C2×C4×C137—24no—
231C2×C4×C137—24no—
232C2×C4×C137—22no—
233C2×C4×C137—22no—
234C2×C4×C137—22no—
235C2×C4×C137—22no—
236C2×C4×C137—24no—
237C2×C4×C137—22no—
238C2×C4×C137—24no—
239C2×C4×C137—24no—
240C2×C4×C137—24no—
241C2×C4×C137—24no—
242C2×C4×C137—24no—
243C2×C4×C137—22no—
244C2×C4×C137—22no—
245C2×C4×C137—24no—
246C2×C4×C137—24no—
247C2×C4×C137—416no—
248C2×C4×C137—41no—
249C2×C4×C137—41no—
250C2×C4×C137—42no—
251C2×C4×C137—41no—
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—41no—
260C2×C4×C137—42no—
261C2×C4×C137—42no—
262C2×C4×C137—41no—
263C2×C4×C137—41no—
264C2×C4×C137—42no—
265C2×C4×C137—42no—
266C2×C4×C137—42no—
267C2×C4×C137—42no—
268C2×C4×C137—42no—
269C2×C4×C137—41no—
270C2×C4×C137—41no—
271C2×C4×C137—41no—
272C2×C4×C137—41no—
273C2×C4×C137—41no—
274C2×C4×C137—42no—
275C2×C4×C137—42no—
276C2×C4×C137—42no—
277C2×C4×C137—41no—
278C2×C4×C137—42no—
279C2×C4×C137—42no—
280C2×C4×C137—42no—
281C2×C4×C137—42no—
282C2×C4×C137—42no—
283C2×C4×C137—42no—
284C2×C4×C137—42no—
285C2×C4×C137—42no—
286C2×C4×C137#12014yes—
287C22×C137—24no—
288C22×C137—24no—
289C22×C137—24no—
290C22×C137—42no—
291C22×C137—42no—
292C22×C137—42no—
293C22×C137—42no—
294C22×C137—44no—
295C22×C137—44no—
296C22×C137—44no—
297C22×C137—44no—
298C22×C137C2×#12011yescharacteristic
299C22×C137C2×C22⋊Q811yescharacteristic
300C22×C137#53211yescharacteristic
301C22×C137#53411yescharacteristic
302C22×C137#53411yescharacteristic
303C22×C137#53412yes—
304C22×C137#53512yes—
305C22×C137#53611yescharacteristic
306C22×C137#53611yescharacteristic
307C22×C137#53912yes—
308C22×C137#53912yes—
309C22×C137#54212yes—
310C22×C137#54412yes—
311C22×C137#54712yes—
312C22×C137#54811yescharacteristic
313C22×C137#54811yescharacteristic
314C22×C137#54812yes—
315C22×C137D4×Q811yescharacteristic
316C22×C137D4×Q811yescharacteristic
317C22×C137#55112yes—
318C22×C137#55412yes—
319C22×C137#56312yes—
320C22×C137#56312yes—
321C4×C137—24no—
322C4×C137—42no—
323C4×C137—42no—
324C4×C137—44no—
325C4×C137—42no—
326C4×C137—44no—
327C4×C137—44no—
328C4×C137—81no—
329C4×C137—81no—
330C4×C137—82no—
331C2×C137—44no—
332C2×C137#240911yescharacteristic
333C2×C137#243211yescharacteristic
334C2×C137#256411yescharacteristic
335C2×C137#261311yescharacteristic
336C2×C137#262711yescharacteristic
337C2×C137#266311yescharacteristic
338C2×C137#272012yes—
339C2×C137#272312yes—
340C2×C137#272812yes—
341C2×C137#272912yes—
342C2×C137#281711yescharacteristic
343#16601C13711yesmaximal, characteristic, direct product factor, Sylow
344C137#1660111yescharacteristic, direct product factor, Sylow
345C22×C22⋊Q8C2×C13711yescharacteristic
346C2×#400C2×C13711yescharacteristic, complemented
347C2×#395C2×C13711yescharacteristic, complemented
348C2×#385C2×C13711yescharacteristic
349#1446C2×C13711yescharacteristic, complemented
350#1445C2×C13711yescharacteristic, complemented
351#1444C2×C13712yescomplemented
352#1442C2×C13712yescomplemented
353#1440C2×C13712yes—
354#1439C2×C13712yes—
355C22⋊#95C2×C13711yescharacteristic
356C23×Q8C22×C13711yescharacteristic
357C24×C4C22×C13711yescharacteristic
358C2×C22⋊Q8—24no—
359C2×C22⋊Q8—24no—
360C2×C22⋊Q8—24no—
361C22×C4⋊C4C22×C13711yescharacteristic
362C22×C4⋊C4C22×C13712yes—
363C22×C4⋊C4C22×C13711yescharacteristic
364C22×C4⋊C4C22×C13712yes—
365C22×C4⋊C4C22×C13711yescharacteristic
366C22×C22⋊C4C22×C13712yes—
367C22×C22⋊C4C22×C13712yes—
368C22×C22⋊C4C22×C13711yescharacteristic
369C22×C22⋊C4C22×C13711yescharacteristic
370#400—24no—
371#395—24no—
372#385—24no—
373C2×#95C22×C13711yescharacteristic
374C2×#95C22×C13712yes—
375C2×#95C22×C13711yescharacteristic
376C2×#95C22×C13712yes—
377C2×#95C22×C13712yes—
378C2×#95C22×C13712yes—
379C2×#95C22×C13712yes—
380C2×#95C22×C13711yescharacteristic
381C2×#95C22×C13711yescharacteristic
382C2×#95C22×C13712yes—
383C2×#95C22×C13712yes—
384C2×#95C22×C13712yes—
385C25C23×C13711yescharacteristic
386C22×Q8—22no—
387C22×Q8—22no—
388C22×Q8—42no—
389C22×Q8—42no—
390C22×Q8D4×C13714yes—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—42no—
394C23×C4—42no—
395C23×C4D4×C13714yes—
396C23×C4C23×C13711yescharacteristic
397C23×C4C23×C13712yes—
398C23×C4C23×C13711yescharacteristic
399C23×C4C23×C13712yes—
400C23×C4C23×C13712yes—
401C23×C4C23×C13711yescharacteristic
402C23×C4C23×C13711yescharacteristic
403C23×C4C23×C13711yescharacteristic
404C23×C4C23×C13712yes—
405C23×C4C23×C13711yescharacteristic
406C22⋊Q8—232no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4—42no—
419C2×C4⋊C4—42no—
420C2×C4⋊C4D4×C13714yes—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—42no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4Q8×C13714yescomplemented
432#95—22no—
433#95—22no—
434#95—24no—
435#95—22no—
436#95—24no—
437#95—22no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—42no—
442#95—42no—
443#95—42no—
444C24—21no—
445C24—21no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—21no—
451C24—21no—
452C24C2×D4×C13712yes—
453C24C2×Q8×C13712yes—
454C24#41×C13712yes—
455C24C24×C13711yescharacteristic
456C2×Q8—28no—
457C2×Q8—48no—
458C2×Q8—44no—
459C2×Q8—44no—
460C2×Q8—48no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
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—21no—
494C22×C4—21no—
495C22×C4—28no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4C2×D4×C13714yes—
518C22×C4C2×D4×C13714yes—
519C22×C4C2×D4×C13712yes—
520C22×C4C2×D4×C13712yes—
521C22×C4C2×D4×C13712yes—
522C22×C4C2×D4×C13712yes—
523C22×C4C2×Q8×C13712yes—
524C22×C4C2×Q8×C13712yes—
525C22×C4#41×C13714yes—
526C4⋊C4—216no—
527C4⋊C4—28no—
528C4⋊C4—44no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C22⋊C4—216no—
532C22⋊C4—28no—
533C22⋊C4—48no—
534C22⋊C4—44no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—24no—
542C23—24no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23C22⋊Q8×C13714yes—
558C23C22×D4×C13711yescharacteristic
559C23C22×D4×C13711yescharacteristic
560C23C22×D4×C13711yescharacteristic
561C23C22×Q8×C13711yescharacteristic
562C23C2×#41×C13711yescharacteristic
563C23C2×#41×C13712yes—
564C23H(5,𝔽2)×C13712yes—
565C23H(5,𝔽2)×C13712yes—
566C232−1+4×C13711yescharacteristic
567C232−1+4×C13712yes—
568C232−1+4×C13711yescharacteristic
569Q8—416no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—416no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4#120×C13714yes—
631C22—24no—
632C22—24no—
633C22—24no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22C2×#120×C13711yescharacteristic
643C22C2×C22⋊Q8×C13711yescharacteristic
644C22#532×C13711yescharacteristic
645C22#534×C13711yescharacteristic
646C22#534×C13711yescharacteristic
647C22#534×C13712yes—
648C22#535×C13712yes—
649C22#536×C13711yescharacteristic
650C22#536×C13711yescharacteristic
651C22#539×C13712yes—
652C22#539×C13712yes—
653C22#542×C13712yes—
654C22#544×C13712yes—
655C22#547×C13712yes—
656C22#548×C13711yescharacteristic
657C22#548×C13711yescharacteristic
658C22#548×C13712yes—
659C22D4×Q8×C13711yescharacteristic
660C22D4×Q8×C13711yescharacteristic
661C22#551×C13712yes—
662C22#554×C13712yes—
663C22#563×C13712yes—
664C22#563×C13712yes—
665C4—24no—
666C4—42no—
667C4—42no—
668C4—44no—
669C4—42no—
670C4—44no—
671C4—44no—
672C4—81no—
673C4—81no—
674C4—82no—
675C2—44no—
676C2#2409×C13711yescharacteristic
677C2#2432×C13711yescharacteristic
678C2#2564×C13711yescharacteristic
679C2#2613×C13711yescharacteristic
680C2#2627×C13711yescharacteristic
681C2#2663×C13711yescharacteristic
682C2#2720×C13712yes—
683C2#2723×C13712yes—
684C2#2728×C13712yes—
685C2#2729×C13712yes—
686C2#2817×C13711yescharacteristic
subgroupG/H
center, socleC24×C137C24
commutator, Frattini, cosocleC24C24×C137
prime radicalC25×C137C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#400×C137C2semidirect
3. C2×#395×C137C2semidirect
5. #1446×C137C2semidirect
6. #1445×C137C2semidirect
7. #1444×C137C2semidirect
8. #1442×C137C2semidirect
87. C2×C22⋊C4×C137Q8semidirect
343. #16601C137direct (N × H)
344. C137#16601direct (N × H)
346. C2×#400C2×C137semidirect
347. C2×#395C2×C137semidirect
349. #1446C2×C137semidirect
350. #1445C2×C137semidirect
351. #1444C2×C137semidirect
352. #1442C2×C137semidirect
431. C2×C22⋊C4Q8×C137semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊Q8×C1372
C2×#400×C1372
C2×#395×C1372
C2×#385×C1372
#1446×C1372
#1445×C1372
#1444×C1372
#1442×C1372
#1440×C1372
#1439×C1372
C22⋊#95×C1372
#16601137