Finite Group Databasebeta

← C137×#26201 #46875587

Subgroups — C137×#26201 #46875587

Order 35072.

794 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2415×C137C211yesmaximal, characteristic
2#2352×C137C211yesmaximal, characteristic
3#2101×C137C211yesmaximal, characteristic, complemented
4#2075×C137C211yesmaximal, characteristic, complemented
5#2074×C137C211yesmaximal, characteristic, complemented
6#2035×C137C211yesmaximal, characteristic, complemented
7#1928×C137C211yesmaximal, characteristic, complemented
8#1920×C137C211yesmaximal, characteristic, complemented
9#1892×C137C211yesmaximal, characteristic, complemented
10#1873×C137C211yesmaximal, characteristic, complemented
11#1872×C137C211yesmaximal, characteristic, complemented
12#1869×C137C211yesmaximal, characteristic
13#1854×C137C211yesmaximal, characteristic, complemented
14#1824×C137C211yesmaximal, characteristic, complemented
15#1735×C137C211yesmaximal, characteristic, complemented
16C23×C8×C137C2211yescharacteristic
17C2×C22⋊Q8×C137C2211yescharacteristic
18C2×C22⋊Q8×C137C2211yescharacteristic
19C2×C4×D4×C137C2211yescharacteristic
20C2×#117×C137C2211yescharacteristic
21C2×#117×C137C2211yescharacteristic
22C22×C4⋊C4×C137C2211yescharacteristic
23C2×#107×C137C2211yescharacteristic
24C2×#106×C137C2211yescharacteristic
25C2×#103×C137C2211yescharacteristic
26C2×#103×C137C2211yescharacteristic
27C2×#103×C137C2211yescharacteristic
28C2×#103×C137C2211yescharacteristic
29C2×C22⋊C8×C137C2211yescharacteristic
30C2×C22⋊C8×C137C2211yescharacteristic
31C2×C22⋊C8×C137C2211yescharacteristic
32#397×C137—21no—
33#394×C137—21no—
34#391×C137C2211yescharacteristic
35#389×C137—21no—
36#389×C137C2211yescharacteristic
37#388×C137—21no—
38#388×C137—21no—
39#387×C137—21no—
40#386×C137—21no—
41#382×C137C2211yescharacteristic
42#380×C137C2211yescharacteristic
43#380×C137C2211yescharacteristic
44#380×C137C2211yescharacteristic
45C4×C4⋊C4×C137C2211yescharacteristic
46C4×C22⋊C4×C137—21no—
47#340×C137C2211yescharacteristic
48#340×C137C2211yescharacteristic
49#340×C137C2211yescharacteristic
50#340×C137C2211yescharacteristic
51#340×C137C2211yescharacteristic
52#340×C137C2211yescharacteristic
53#340×C137C2211yescharacteristic
54#340×C137C2211yescharacteristic
55#340×C137C2211yescharacteristic
56#340×C137C2211yescharacteristic
57#336×C137C2211yescharacteristic
58#336×C137C2211yescharacteristic
59C22×Q8×C137C2311yescharacteristic
60C22×D4×C137D411yescharacteristic
61C23×C4×C137—21no—
62C23×C4×C137C2311yescharacteristic
63C23×C4×C137C2311yescharacteristic
64C22×C8×C137—22no—
65C22×C8×C137—41no—
66C22×C8×C137—41no—
67C22×C8×C137C2311yescharacteristic
68C22×C8×C137C2311yescharacteristic
69C22×C8×C137C2311yescharacteristic
70C22×C8×C137C2311yescharacteristic
71C22⋊Q8×C137—22no—
72C22⋊Q8×C137—22no—
73C22⋊Q8×C137—22no—
74C22⋊Q8×C137—41no—
75C4×D4×C137—22no—
76C4×D4×C137—22no—
77#117×C137—22no—
78#117×C137—22no—
79#117×C137—41no—
80#117×C137—41no—
81C2×C4⋊C4×C137—22no—
82C2×C4⋊C4×C137—21no—
83C2×C4⋊C4×C137—21no—
84C2×C4⋊C4×C137—21no—
85C2×C4⋊C4×C137—21no—
86C2×C4⋊C4×C137—41no—
87C2×C4⋊C4×C137D411yescharacteristic
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×C4⋊C4×C137C2311yescharacteristic
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×C137—21no—
102C2×C22⋊C4×C137D411yescharacteristic
103C2×C22⋊C4×C137D411yescharacteristic
104C2×C42×C137—21no—
105C2×C42×C137—21no—
106C2×C42×C137—21no—
107C2×C42×C137C2311yescharacteristic
108#107×C137—41no—
109#106×C137—22no—
110#103×C137—22no—
111#103×C137—41no—
112#103×C137—41no—
113#103×C137—41no—
114C22⋊C8×C137—22no—
115C22⋊C8×C137—41no—
116C22⋊C8×C137—41no—
117#95×C137—21no—
118#95×C137—21no—
119#95×C137—21no—
120#95×C137—21no—
121#95×C137—21no—
122#95×C137—21no—
123#95×C137—21no—
124#95×C137—21no—
125#95×C137—21no—
126C24×C137C2×D411yescharacteristic
127C24×C137C2×D411yescharacteristic
128C2×Q8×C137—21no—
129C2×Q8×C137—21no—
130C2×Q8×C137—21no—
131C2×Q8×C137—21no—
132C2×Q8×C137—21no—
133C2×Q8×C137—21no—
134C2×D4×C137—22no—
135C2×D4×C137—22no—
136C2×D4×C137—41no—
137C22×C4×C137—21no—
138C22×C4×C137—21no—
139C22×C4×C137—21no—
140C22×C4×C137—21no—
141C22×C4×C137—21no—
142C22×C4×C137—21no—
143C22×C4×C137—21no—
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×C137#4112yes—
163C22×C4×C137#4112yes—
164C22×C4×C137C2411yescharacteristic
165C2×C8×C137—21no—
166C2×C8×C137—21no—
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×C137—44no—
178C4⋊C4×C137—22no—
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—21no—
191C4⋊C4×C137—42no—
192C4⋊C4×C137—42no—
193C4⋊C4×C137—42no—
194C4⋊C4×C137—42no—
195C4⋊C4×C137#4112yes—
196C4⋊C4×C137#4112yes—
197C22⋊C4×C137—22no—
198C22⋊C4×C137—22no—
199C22⋊C4×C137—42no—
200C22⋊C4×C137—42no—
201C22⋊C4×C137—42no—
202C22⋊C4×C137—42no—
203C22⋊C4×C137—42no—
204C22⋊C4×C137—42no—
205C22⋊C4×C137—81no—
206C42×C137—21no—
207C42×C137—21no—
208C42×C137—42no—
209C42×C137—42no—
210C42×C137—81no—
211C23×C137—21no—
212C23×C137—21no—
213C23×C137—21no—
214C23×C137—21no—
215C23×C137—21no—
216C23×C137—21no—
217C23×C137—21no—
218C23×C137—21no—
219C23×C137—21no—
220C23×C137—21no—
221C23×C137—21no—
222C23×C137—21no—
223C23×C137#12312yes—
224C23×C137#13512yes—
225C23×C137C22×D411yescharacteristic
226Q8×C137—41no—
227Q8×C137—41no—
228Q8×C137—41no—
229Q8×C137—41no—
230D4×C137—44no—
231C2×C4×C137—21no—
232C2×C4×C137—21no—
233C2×C4×C137—22no—
234C2×C4×C137—22no—
235C2×C4×C137—22no—
236C2×C4×C137—22no—
237C2×C4×C137—21no—
238C2×C4×C137—21no—
239C2×C4×C137—21no—
240C2×C4×C137—22no—
241C2×C4×C137—22no—
242C2×C4×C137—21no—
243C2×C4×C137—21no—
244C2×C4×C137—21no—
245C2×C4×C137—21no—
246C2×C4×C137—21no—
247C2×C4×C137—21no—
248C2×C4×C137—41no—
249C2×C4×C137—41no—
250C2×C4×C137—41no—
251C2×C4×C137—41no—
252C2×C4×C137—41no—
253C2×C4×C137—41no—
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—41no—
273C2×C4×C137—41no—
274C2×C4×C137—84no—
275C2×C4×C137#12312yes—
276C2×C4×C137C2×#4111yescharacteristic
277C2×C4×C137C2×#4111yescharacteristic
278C2×C4×C137C2×#4111yescharacteristic
279C2×C4×C137C2×#4111yescharacteristic
280C2×C4×C137H(5,𝔽2)11yescharacteristic
281C2×C4×C137H(5,𝔽2)11yescharacteristic
282C8×C137—41no—
283C8×C137—41no—
284C8×C137—41no—
285C8×C137—41no—
286C22×C137—22no—
287C22×C137—22no—
288C22×C137—22no—
289C22×C137—22no—
290C22×C137—22no—
291C22×C137—22no—
292C22×C137—41no—
293C22×C137—41no—
294C22×C137—41no—
295C22×C137—41no—
296C22×C137—41no—
297C22×C137—41no—
298C22×C137—41no—
299C22×C137—41no—
300C22×C137C2×#12311yescharacteristic
301C22×C137#54611yescharacteristic
302C22×C137#54611yescharacteristic
303C22×C137C2×#13511yescharacteristic
304C22×C137#57511yescharacteristic
305C22×C137#57711yescharacteristic
306C22×C137#57811yescharacteristic
307C4×C137—22no—
308C4×C137—41no—
309C4×C137—41no—
310C4×C137—41no—
311C4×C137—42no—
312C4×C137—42no—
313C4×C137—81no—
314C4×C137—81no—
315C4×C137—81no—
316C4×C137—81no—
317C4×C137—81no—
318C4×C137—81no—
319C4×C137#52911yescharacteristic
320C4×C137#53811yescharacteristic
321C4×C137#55311yescharacteristic
322C4×C137#55311yescharacteristic
323C2×C137—42no—
324C2×C137—42no—
325C2×C137#244411yescharacteristic
326C2×C137#309111yescharacteristic
327C2×C137#309711yescharacteristic
328C2×C137#330011yescharacteristic
329C2×C137#330111yescharacteristic
330C2×C137#331111yescharacteristic
331C2×C137#331511yescharacteristic
332#26201C13711yesmaximal, characteristic, direct product factor, Sylow
333C137#2620111yescharacteristic, direct product factor, Sylow
334#2415C2×C13711yescharacteristic
335#2352C2×C13711yescharacteristic
336#2101C2×C13711yescharacteristic, complemented
337#2075C2×C13711yescharacteristic, complemented
338#2074C2×C13711yescharacteristic, complemented
339#2035C2×C13711yescharacteristic, complemented
340#1928C2×C13711yescharacteristic, complemented
341#1920C2×C13711yescharacteristic, complemented
342#1892C2×C13711yescharacteristic, complemented
343#1873C2×C13711yescharacteristic, complemented
344#1872C2×C13711yescharacteristic, complemented
345#1869C2×C13711yescharacteristic
346#1854C2×C13711yescharacteristic, complemented
347#1824C2×C13711yescharacteristic, complemented
348#1735C2×C13711yescharacteristic, complemented
349C23×C8C22×C13711yescharacteristic
350C2×C22⋊Q8C22×C13711yescharacteristic
351C2×C22⋊Q8C22×C13711yescharacteristic
352C2×C4×D4C22×C13711yescharacteristic
353C2×#117C22×C13711yescharacteristic
354C2×#117C22×C13711yescharacteristic
355C22×C4⋊C4C22×C13711yescharacteristic
356C2×#107C22×C13711yescharacteristic
357C2×#106C22×C13711yescharacteristic
358C2×#103C22×C13711yescharacteristic
359C2×#103C22×C13711yescharacteristic
360C2×#103C22×C13711yescharacteristic
361C2×#103C22×C13711yescharacteristic
362C2×C22⋊C8C22×C13711yescharacteristic
363C2×C22⋊C8C22×C13711yescharacteristic
364C2×C22⋊C8C22×C13711yescharacteristic
365#397—21no—
366#394—21no—
367#391C22×C13711yescharacteristic
368#389—21no—
369#389C22×C13711yescharacteristic
370#388—21no—
371#388—21no—
372#387—21no—
373#386—21no—
374#382C22×C13711yescharacteristic
375#380C22×C13711yescharacteristic
376#380C22×C13711yescharacteristic
377#380C22×C13711yescharacteristic
378C4×C4⋊C4C22×C13711yescharacteristic
379C4×C22⋊C4—21no—
380#340C22×C13711yescharacteristic
381#340C22×C13711yescharacteristic
382#340C22×C13711yescharacteristic
383#340C22×C13711yescharacteristic
384#340C22×C13711yescharacteristic
385#340C22×C13711yescharacteristic
386#340C22×C13711yescharacteristic
387#340C22×C13711yescharacteristic
388#340C22×C13711yescharacteristic
389#340C22×C13711yescharacteristic
390#336C22×C13711yescharacteristic
391#336C22×C13711yescharacteristic
392C22×Q8C23×C13711yescharacteristic
393C22×D4D4×C13711yescharacteristic
394C23×C4—21no—
395C23×C4C23×C13711yescharacteristic
396C23×C4C23×C13711yescharacteristic
397C22×C8—22no—
398C22×C8—41no—
399C22×C8—41no—
400C22×C8C23×C13711yescharacteristic
401C22×C8C23×C13711yescharacteristic
402C22×C8C23×C13711yescharacteristic
403C22×C8C23×C13711yescharacteristic
404C22⋊Q8—22no—
405C22⋊Q8—22no—
406C22⋊Q8—22no—
407C22⋊Q8—41no—
408C4×D4—22no—
409C4×D4—22no—
410#117—22no—
411#117—22no—
412#117—41no—
413#117—41no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—41no—
420C2×C4⋊C4D4×C13711yescharacteristic
421C2×C4⋊C4C23×C13711yescharacteristic
422C2×C4⋊C4C23×C13711yescharacteristic
423C2×C4⋊C4C23×C13711yescharacteristic
424C2×C4⋊C4C23×C13711yescharacteristic
425C2×C4⋊C4C23×C13711yescharacteristic
426C2×C4⋊C4C23×C13711yescharacteristic
427C2×C4⋊C4C23×C13711yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C13711yescharacteristic
436C2×C22⋊C4D4×C13711yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42C23×C13711yescharacteristic
441#107—41no—
442#106—22no—
443#103—22no—
444#103—41no—
445#103—41no—
446#103—41no—
447C22⋊C8—22no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459C24C2×D4×C13711yescharacteristic
460C24C2×D4×C13711yescharacteristic
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—41no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
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—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4C2×D4×C13711yescharacteristic
492C22×C4C2×D4×C13711yescharacteristic
493C22×C4C2×D4×C13711yescharacteristic
494C22×C4C2×D4×C13711yescharacteristic
495C22×C4#41×C13712yes—
496C22×C4#41×C13712yes—
497C22×C4C24×C13711yescharacteristic
498C2×C8—21no—
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×C8—21no—
510C2×C8—44no—
511C4⋊C4—22no—
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—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4#41×C13712yes—
529C4⋊C4#41×C13712yes—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—42no—
542C42—42no—
543C42—81no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23#123×C13712yes—
557C23#135×C13712yes—
558C23C22×D4×C13711yescharacteristic
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563D4—44no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
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—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—84no—
608C2×C4#123×C13712yes—
609C2×C4C2×#41×C13711yescharacteristic
610C2×C4C2×#41×C13711yescharacteristic
611C2×C4C2×#41×C13711yescharacteristic
612C2×C4C2×#41×C13711yescharacteristic
613C2×C4H(5,𝔽2)×C13711yescharacteristic
614C2×C4H(5,𝔽2)×C13711yescharacteristic
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22C2×#123×C13711yescharacteristic
634C22#546×C13711yescharacteristic
635C22#546×C13711yescharacteristic
636C22C2×#135×C13711yescharacteristic
637C22#575×C13711yescharacteristic
638C22#577×C13711yescharacteristic
639C22#578×C13711yescharacteristic
640C4—22no—
641C4—42no—
642C4—42no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4#529×C13711yescharacteristic
653C4#538×C13711yescharacteristic
654C4#553×C13711yescharacteristic
655C4#553×C13711yescharacteristic
656C2—42no—
657C2—42no—
658C2#2444×C13711yescharacteristic
659C2#3091×C13711yescharacteristic
660C2#3097×C13711yescharacteristic
661C2#3300×C13711yescharacteristic
662C2#3301×C13711yescharacteristic
663C2#3311×C13711yescharacteristic
664C2#3315×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C22×D4
commutator, Frattini, cosocleC22×C4C24×C137
prime radicalC22×D4×C137D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C137 ◁ C2×C4×D4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2101×C137C2semidirect
4. #2075×C137C2semidirect
5. #2074×C137C2semidirect
6. #2035×C137C2semidirect
7. #1928×C137C2semidirect
8. #1920×C137C2semidirect
9. #1892×C137C2semidirect
10. #1873×C137C2semidirect
11. #1872×C137C2semidirect
13. #1854×C137C2semidirect
14. #1824×C137C2semidirect
15. #1735×C137C2semidirect
332. #26201C137direct (N × H)
333. C137#26201direct (N × H)
336. #2101C2×C137semidirect
337. #2075C2×C137semidirect
338. #2074C2×C137semidirect
339. #2035C2×C137semidirect
340. #1928C2×C137semidirect
341. #1920C2×C137semidirect
342. #1892C2×C137semidirect
343. #1873C2×C137semidirect
344. #1872C2×C137semidirect
346. #1854C2×C137semidirect
347. #1824C2×C137semidirect
348. #1735C2×C137semidirect

Maximal subgroups

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

subgroupindex
#2415×C1372
#2352×C1372
#2101×C1372
#2075×C1372
#2074×C1372
#2035×C1372
#1928×C1372
#1920×C1372
#1892×C1372
#1873×C1372
#1872×C1372
#1869×C1372
#1854×C1372
#1824×C1372
#1735×C1372
#26201137