Finite Group Databasebeta

← C137×#26341 #46875727

Subgroups — C137×#26341 #46875727

Order 35072.

866 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#474×C137C211yesmaximal, characteristic, complemented
2C2×#427×C137C211yesmaximal, characteristic, complemented
3#2439×C137C211yesmaximal, characteristic, complemented
4#2363×C137C211yesmaximal, characteristic
5#2092×C137C211yesmaximal, characteristic, complemented
6#2087×C137C211yesmaximal, characteristic, complemented
7#2065×C137C211yesmaximal, characteristic, complemented
8#2058×C137C211yesmaximal, characteristic, complemented
9#1949×C137C211yesmaximal, characteristic, complemented
10#1918×C137C211yesmaximal, characteristic, complemented
11#1893×C137C211yesmaximal, characteristic
12#1875×C137C211yesmaximal, characteristic
13#1864×C137C211yesmaximal, characteristic, complemented
14#1854×C137C211yesmaximal, characteristic, complemented
15#1850×C137C211yesmaximal, characteristic, complemented
16C23×C8×C137C2211yescharacteristic
17C2×C4⋊Q8×C137C2211yescharacteristic
18C2×#121×C137C2211yescharacteristic
19C2×C4×D4×C137C2211yescharacteristic
20C2×#117×C137C2211yescharacteristic
21C2×#117×C137C2211yescharacteristic
22#474×C137—24no—
23#427×C137—24no—
24C2×#107×C137C2211yescharacteristic
25C2×#107×C137C2211yescharacteristic
26C2×#107×C137C2211yescharacteristic
27C2×#106×C137C2211yescharacteristic
28C2×#106×C137C2211yescharacteristic
29C2×#106×C137C2211yescharacteristic
30C2×C4⋊C8×C137C2211yescharacteristic
31C2×C4⋊C8×C137C2211yescharacteristic
32C2×#102×C137C2211yescharacteristic
33C2×#102×C137C2211yescharacteristic
34C2×#102×C137C2211yescharacteristic
35C2×#102×C137C2211yescharacteristic
36C2×C22⋊C8×C137C2211yescharacteristic
37#396×C137—21no—
38#393×C137—21no—
39#391×C137—21no—
40#390×C137—21no—
41#390×C137C2211yescharacteristic
42#389×C137C2211yescharacteristic
43#389×C137C2211yescharacteristic
44#389×C137C2211yescharacteristic
45#388×C137—21no—
46#387×C137—21no—
47#386×C137—21no—
48#382×C137C2211yescharacteristic
49#380×C137C2211yescharacteristic
50C4×C4⋊C4×C137C2211yescharacteristic
51C4×C22⋊C4×C137—21no—
52C4×C22⋊C4×C137C2211yescharacteristic
53#340×C137C2211yescharacteristic
54#340×C137C2211yescharacteristic
55#340×C137C2211yescharacteristic
56#340×C137C2211yescharacteristic
57#340×C137C2211yescharacteristic
58#340×C137C2211yescharacteristic
59#336×C137C2211yescharacteristic
60#336×C137C2211yescharacteristic
61C22×Q8×C137—21no—
62C22×D4×C137—21no—
63C22×D4×C137C2311yescharacteristic
64C23×C4×C137—21no—
65C23×C4×C137C2311yescharacteristic
66C22×C8×C137—22no—
67C22×C8×C137—22no—
68C22×C8×C137—22no—
69C22×C8×C137C2311yescharacteristic
70C22×C8×C137C2311yescharacteristic
71C22×C8×C137C2311yescharacteristic
72C22×C8×C137C2311yescharacteristic
73C4⋊Q8×C137—22no—
74C4⋊Q8×C137—41no—
75#121×C137—22no—
76#121×C137Q814yescomplemented
77C4×D4×C137—22no—
78C4×D4×C137—41no—
79#117×C137—22no—
80#117×C137—22no—
81#117×C137—41no—
82#117×C137—41no—
83C2×C4⋊C4×C137—21no—
84C2×C4⋊C4×C137—21no—
85C2×C4⋊C4×C137—21no—
86C2×C4⋊C4×C137—21no—
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×C4⋊C4×C137C2311yescharacteristic
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×C137—21no—
101C2×C22⋊C4×C137D411yescharacteristic
102C2×C22⋊C4×C137D411yescharacteristic
103C2×C42×C137—21no—
104C2×C42×C137—21no—
105C2×C42×C137—21no—
106C2×C42×C137C2311yescharacteristic
107C2×C42×C137C2311yescharacteristic
108#107×C137—22no—
109#107×C137—22no—
110#107×C137D414yescomplemented
111#106×C137—22no—
112#106×C137—22no—
113#106×C137—41no—
114C4⋊C8×C137—22no—
115C4⋊C8×C137—22no—
116#102×C137—22no—
117#102×C137—22no—
118#102×C137—22no—
119#102×C137—41no—
120C22⋊C8×C137—22no—
121#95×C137—21no—
122#95×C137—21no—
123#95×C137—21no—
124#95×C137—21no—
125#95×C137—21no—
126#95×C137—21no—
127#95×C137—21no—
128#95×C137D411yescharacteristic
129#95×C137D411yescharacteristic
130C24×C137—21no—
131C24×C137C2×D411yescharacteristic
132C2×Q8×C137—42no—
133C2×Q8×C137—42no—
134C2×Q8×C137—81no—
135C2×D4×C137—24no—
136C2×D4×C137—21no—
137C2×D4×C137—21no—
138C2×D4×C137—21no—
139C2×D4×C137—21no—
140C2×D4×C137—21no—
141C2×D4×C137—81no—
142C2×D4×C137—81no—
143C2×D4×C137C2×Q812yes—
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—42no—
156C22×C4×C137—42no—
157C22×C4×C137—81no—
158C22×C4×C137C2×D411yescharacteristic
159C22×C4×C137C2×D411yescharacteristic
160C22×C4×C137C2×D411yescharacteristic
161C22×C4×C137C2×D411yescharacteristic
162C22×C4×C137C2×D411yescharacteristic
163C22×C4×C137C2×Q812yes—
164C22×C4×C137#4112yes—
165C22×C4×C137C2411yescharacteristic
166C2×C8×C137—28no—
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×C137C2×D412yes—
178C2×C8×C137#4112yes—
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—21no—
189C4⋊C4×C137—21no—
190C4⋊C4×C137—42no—
191C4⋊C4×C137—42no—
192C4⋊C4×C137—81no—
193C4⋊C4×C137—81no—
194C4⋊C4×C137C2×D412yes—
195C4⋊C4×C137C2×D412yes—
196C4⋊C4×C137C2×Q812yes—
197C22⋊C4×C137—24no—
198C22⋊C4×C137—22no—
199C22⋊C4×C137—41no—
200C22⋊C4×C137—42no—
201C22⋊C4×C137—42no—
202C22⋊C4×C137—42no—
203C22⋊C4×C137—42no—
204C22⋊C4×C137—81no—
205C22⋊C4×C137—81no—
206C42×C137—21no—
207C42×C137—21no—
208C42×C137—21no—
209C42×C137—21no—
210C42×C137—42no—
211C42×C137—42no—
212C42×C137—81no—
213C23×C137—21no—
214C23×C137—21no—
215C23×C137—21no—
216C23×C137—21no—
217C23×C137—21no—
218C23×C137—21no—
219C23×C137—22no—
220C23×C137—41no—
221C23×C137—41no—
222C23×C137—41no—
223C23×C137—41no—
224C23×C137—41no—
225C23×C137—41no—
226C23×C137C22⋊Q812yes—
227C23×C137C22×D411yescharacteristic
228Q8×C137—84no—
229D4×C137—22no—
230D4×C137—22no—
231D4×C137—41no—
232D4×C137—41no—
233D4×C137—84no—
234C2×C4×C137—21no—
235C2×C4×C137—21no—
236C2×C4×C137—21no—
237C2×C4×C137—21no—
238C2×C4×C137—22no—
239C2×C4×C137—22no—
240C2×C4×C137—22no—
241C2×C4×C137—22no—
242C2×C4×C137—22no—
243C2×C4×C137—21no—
244C2×C4×C137—22no—
245C2×C4×C137—22no—
246C2×C4×C137—21no—
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—84no—
273C2×C4×C137C22⋊Q812yes—
274C2×C4×C137#13512yes—
275C2×C4×C137C22×D411yescharacteristic
276C2×C4×C137C22×Q811yescharacteristic
277C2×C4×C137C2×#4111yescharacteristic
278C2×C4×C137C2×#4111yescharacteristic
279C2×C4×C137H(5,𝔽2)11yescharacteristic
280C2×C4×C1372−1+411yescharacteristic
281C8×C137—22no—
282C8×C137—22no—
283C8×C137—41no—
284C8×C137—41no—
285C22×C137—22no—
286C22×C137—22no—
287C22×C137—22no—
288C22×C137—41no—
289C22×C137—41no—
290C22×C137—41no—
291C22×C137—41no—
292C22×C137—42no—
293C22×C137—42no—
294C22×C137—42no—
295C22×C137—81no—
296C22×C137—81no—
297C22×C137—81no—
298C22×C137—81no—
299C22×C137C2×C22⋊Q811yescharacteristic
300C22×C137D4211yescharacteristic
301C22×C137#54711yescharacteristic
302C22×C137C2×#13511yescharacteristic
303C22×C137#57511yescharacteristic
304C22×C137#57611yescharacteristic
305C22×C137#57711yescharacteristic
306C4×C137—22no—
307C4×C137—22no—
308C4×C137—42no—
309C4×C137—41no—
310C4×C137—41no—
311C4×C137—41no—
312C4×C137—42no—
313C4×C137—42no—
314C4×C137—81no—
315C4×C137—81no—
316C4×C137—81no—
317C4×C137—81no—
318C4×C137#52511yescharacteristic
319C4×C137#53911yescharacteristic
320C4×C137D4×Q811yescharacteristic
321C4×C137#55411yescharacteristic
322C2×C137—42no—
323C2×C137—82no—
324C2×C137#244911yescharacteristic
325C2×C137#307611yescharacteristic
326C2×C137#308111yescharacteristic
327C2×C137#327111yescharacteristic
328C2×C137#328011yescharacteristic
329C2×C137#334011yescharacteristic
330C2×C137#334711yescharacteristic
331#26341C13711yesmaximal, characteristic, direct product factor, Sylow
332C137#2634111yescharacteristic, direct product factor, Sylow
333C2×#474C2×C13711yescharacteristic, complemented
334C2×#427C2×C13711yescharacteristic, complemented
335#2439C2×C13711yescharacteristic, complemented
336#2363C2×C13711yescharacteristic
337#2092C2×C13711yescharacteristic, complemented
338#2087C2×C13711yescharacteristic, complemented
339#2065C2×C13711yescharacteristic, complemented
340#2058C2×C13711yescharacteristic, complemented
341#1949C2×C13711yescharacteristic, complemented
342#1918C2×C13711yescharacteristic, complemented
343#1893C2×C13711yescharacteristic
344#1875C2×C13711yescharacteristic
345#1864C2×C13711yescharacteristic, complemented
346#1854C2×C13711yescharacteristic, complemented
347#1850C2×C13711yescharacteristic, complemented
348C23×C8C22×C13711yescharacteristic
349C2×C4⋊Q8C22×C13711yescharacteristic
350C2×#121C22×C13711yescharacteristic
351C2×C4×D4C22×C13711yescharacteristic
352C2×#117C22×C13711yescharacteristic
353C2×#117C22×C13711yescharacteristic
354#474—24no—
355#427—24no—
356C2×#107C22×C13711yescharacteristic
357C2×#107C22×C13711yescharacteristic
358C2×#107C22×C13711yescharacteristic
359C2×#106C22×C13711yescharacteristic
360C2×#106C22×C13711yescharacteristic
361C2×#106C22×C13711yescharacteristic
362C2×C4⋊C8C22×C13711yescharacteristic
363C2×C4⋊C8C22×C13711yescharacteristic
364C2×#102C22×C13711yescharacteristic
365C2×#102C22×C13711yescharacteristic
366C2×#102C22×C13711yescharacteristic
367C2×#102C22×C13711yescharacteristic
368C2×C22⋊C8C22×C13711yescharacteristic
369#396—21no—
370#393—21no—
371#391—21no—
372#390—21no—
373#390C22×C13711yescharacteristic
374#389C22×C13711yescharacteristic
375#389C22×C13711yescharacteristic
376#389C22×C13711yescharacteristic
377#388—21no—
378#387—21no—
379#386—21no—
380#382C22×C13711yescharacteristic
381#380C22×C13711yescharacteristic
382C4×C4⋊C4C22×C13711yescharacteristic
383C4×C22⋊C4—21no—
384C4×C22⋊C4C22×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×Q8—21no—
394C22×D4—21no—
395C22×D4C23×C13711yescharacteristic
396C23×C4—21no—
397C23×C4C23×C13711yescharacteristic
398C22×C8—22no—
399C22×C8—22no—
400C22×C8—22no—
401C22×C8C23×C13711yescharacteristic
402C22×C8C23×C13711yescharacteristic
403C22×C8C23×C13711yescharacteristic
404C22×C8C23×C13711yescharacteristic
405C4⋊Q8—22no—
406C4⋊Q8—41no—
407#121—22no—
408#121Q8×C13714yescomplemented
409C4×D4—22no—
410C4×D4—41no—
411#117—22no—
412#117—22no—
413#117—41no—
414#117—41no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4C23×C13711yescharacteristic
420C2×C4⋊C4C23×C13711yescharacteristic
421C2×C4⋊C4C23×C13711yescharacteristic
422C2×C4⋊C4C23×C13711yescharacteristic
423C2×C4⋊C4C23×C13711yescharacteristic
424C2×C4⋊C4C23×C13711yescharacteristic
425C2×C4⋊C4C23×C13711yescharacteristic
426C2×C22⋊C4—21no—
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⋊C4D4×C13711yescharacteristic
434C2×C22⋊C4D4×C13711yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C13711yescharacteristic
439C2×C42C23×C13711yescharacteristic
440#107—22no—
441#107—22no—
442#107D4×C13714yescomplemented
443#106—22no—
444#106—22no—
445#106—41no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448#102—22no—
449#102—22no—
450#102—22no—
451#102—41no—
452C22⋊C8—22no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95D4×C13711yescharacteristic
461#95D4×C13711yescharacteristic
462C24—21no—
463C24C2×D4×C13711yescharacteristic
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—81no—
467C2×D4—24no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—81no—
474C2×D4—81no—
475C2×D4C2×Q8×C13712yes—
476C22×C4—21no—
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—42no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4C2×D4×C13711yescharacteristic
491C22×C4C2×D4×C13711yescharacteristic
492C22×C4C2×D4×C13711yescharacteristic
493C22×C4C2×D4×C13711yescharacteristic
494C22×C4C2×D4×C13711yescharacteristic
495C22×C4C2×Q8×C13712yes—
496C22×C4#41×C13712yes—
497C22×C4C24×C13711yescharacteristic
498C2×C8—28no—
499C2×C8—21no—
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×C8C2×D4×C13712yes—
510C2×C8#41×C13712yes—
511C4⋊C4—21no—
512C4⋊C4—21no—
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—81no—
525C4⋊C4—81no—
526C4⋊C4C2×D4×C13712yes—
527C4⋊C4C2×D4×C13712yes—
528C4⋊C4C2×Q8×C13712yes—
529C22⋊C4—24no—
530C22⋊C4—22no—
531C22⋊C4—41no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—42no—
543C42—42no—
544C42—81no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23C22⋊Q8×C13712yes—
559C23C22×D4×C13711yescharacteristic
560Q8—84no—
561D4—22no—
562D4—22no—
563D4—41no—
564D4—41no—
565D4—84no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
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—84no—
605C2×C4C22⋊Q8×C13712yes—
606C2×C4#135×C13712yes—
607C2×C4C22×D4×C13711yescharacteristic
608C2×C4C22×Q8×C13711yescharacteristic
609C2×C4C2×#41×C13711yescharacteristic
610C2×C4C2×#41×C13711yescharacteristic
611C2×C4H(5,𝔽2)×C13711yescharacteristic
612C2×C42−1+4×C13711yescharacteristic
613C8—22no—
614C8—22no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C22⋊Q8×C13711yescharacteristic
632C22D42×C13711yescharacteristic
633C22#547×C13711yescharacteristic
634C22C2×#135×C13711yescharacteristic
635C22#575×C13711yescharacteristic
636C22#576×C13711yescharacteristic
637C22#577×C13711yescharacteristic
638C4—22no—
639C4—22no—
640C4—42no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4#525×C13711yescharacteristic
651C4#539×C13711yescharacteristic
652C4D4×Q8×C13711yescharacteristic
653C4#554×C13711yescharacteristic
654C2—42no—
655C2—82no—
656C2#2449×C13711yescharacteristic
657C2#3076×C13711yescharacteristic
658C2#3081×C13711yescharacteristic
659C2#3271×C13711yescharacteristic
660C2#3280×C13711yescharacteristic
661C2#3340×C13711yescharacteristic
662C2#3347×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
1. C2×#474×C137C2semidirect
2. C2×#427×C137C2semidirect
3. #2439×C137C2semidirect
5. #2092×C137C2semidirect
6. #2087×C137C2semidirect
7. #2065×C137C2semidirect
8. #2058×C137C2semidirect
9. #1949×C137C2semidirect
10. #1918×C137C2semidirect
13. #1864×C137C2semidirect
14. #1854×C137C2semidirect
15. #1850×C137C2semidirect
76. #121×C137Q8semidirect
110. #107×C137D4semidirect
331. #26341C137direct (N × H)
332. C137#26341direct (N × H)
333. C2×#474C2×C137semidirect
334. C2×#427C2×C137semidirect
335. #2439C2×C137semidirect
337. #2092C2×C137semidirect
338. #2087C2×C137semidirect
339. #2065C2×C137semidirect
340. #2058C2×C137semidirect
341. #1949C2×C137semidirect
342. #1918C2×C137semidirect
345. #1864C2×C137semidirect
346. #1854C2×C137semidirect
347. #1850C2×C137semidirect
408. #121Q8×C137semidirect
442. #107D4×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#474×C1372
C2×#427×C1372
#2439×C1372
#2363×C1372
#2092×C1372
#2087×C1372
#2065×C1372
#2058×C1372
#1949×C1372
#1918×C1372
#1893×C1372
#1875×C1372
#1864×C1372
#1854×C1372
#1850×C1372
#26341137