Finite Group Databasebeta

← C137×#25291 #46874677

Subgroups — C137×#25291 #46874677

Order 35072.

828 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#490×C137C211yesmaximal, characteristic
2C2×#479×C137C211yesmaximal, characteristic, complemented
3#2548×C137C211yesmaximal, characteristic
4#2370×C137C211yesmaximal, characteristic, complemented
5#2067×C137C211yesmaximal, characteristic, complemented
6#2065×C137C211yesmaximal, characteristic, complemented
7#2042×C137C211yesmaximal, characteristic, complemented
8#2042×C137C211yesmaximal, characteristic, complemented
9#1983×C137C211yesmaximal, characteristic, complemented
10#1983×C137C211yesmaximal, characteristic, complemented
11#1982×C137C211yesmaximal, characteristic
12#1940×C137C211yesmaximal, characteristic, complemented
13#1926×C137C211yesmaximal, characteristic, complemented
14#1925×C137C211yesmaximal, characteristic, complemented
15#1763×C137C211yesmaximal, characteristic, complemented
16C2×#127×C137C2211yescharacteristic
17C2×#125×C137C2211yescharacteristic
18C2×#124×C137C2211yescharacteristic
19C2×#124×C137C2211yescharacteristic
20C2×C4×Q8×C137C2211yescharacteristic
21#490×C137—24no—
22#479×C137—24no—
23C2×#107×C137C2211yescharacteristic
24C2×#106×C137C2211yescharacteristic
25C2×C4⋊C8×C137C2211yescharacteristic
26C2×C4⋊C8×C137C2211yescharacteristic
27C2×C4⋊C8×C137C2211yescharacteristic
28C2×#103×C137C2211yescharacteristic
29C2×#103×C137C2211yescharacteristic
30C2×#103×C137C2211yescharacteristic
31C2×#103×C137C2211yescharacteristic
32C2×#102×C137C2211yescharacteristic
33C2×#102×C137C2211yescharacteristic
34C2×#102×C137C2211yescharacteristic
35C2×#102×C137C2211yescharacteristic
36C2×#102×C137C2211yescharacteristic
37C2×#102×C137C2211yescharacteristic
38C2×#102×C137C2211yescharacteristic
39C2×#102×C137C2211yescharacteristic
40C2×#97×C137C2211yescharacteristic
41#394×C137—21no—
42#394×C137—21no—
43#390×C137—21no—
44#390×C137—21no—
45#390×C137C2211yescharacteristic
46#390×C137C2211yescharacteristic
47#389×C137—21no—
48#389×C137C2211yescharacteristic
49#389×C137C2211yescharacteristic
50#387×C137—21no—
51#387×C137—21no—
52C4×C4⋊C4×C137—21no—
53C4×C4⋊C4×C137C2211yescharacteristic
54C4×C4⋊C4×C137C2211yescharacteristic
55C4×C4⋊C4×C137C2211yescharacteristic
56C4×C4⋊C4×C137C2211yescharacteristic
57#340×C137C2211yescharacteristic
58#340×C137C2211yescharacteristic
59#336×C137C2211yescharacteristic
60#336×C137C2211yescharacteristic
61C22×Q8×C137C2311yescharacteristic
62C22×D4×C137—21no—
63C22×D4×C137—21no—
64C22×D4×C137C2311yescharacteristic
65C22×D4×C137C2311yescharacteristic
66C22×C8×C137C2311yescharacteristic
67C22×C8×C137C2311yescharacteristic
68C22×C8×C137C2311yescharacteristic
69C22×C8×C137C2311yescharacteristic
70#127×C137—22no—
71#127×C137—22no—
72#125×C137—22no—
73#125×C137D414yes—
74#124×C137—22no—
75#124×C137—22no—
76#124×C137—41no—
77#124×C137—41no—
78C4×Q8×C137—22no—
79C4×Q8×C137—22no—
80C2×C4⋊C4×C137—21no—
81C2×C4⋊C4×C137—21no—
82C2×C4⋊C4×C137—21no—
83C2×C4⋊C4×C137—21no—
84C2×C4⋊C4×C137—21no—
85C2×C4⋊C4×C137D411yescharacteristic
86C2×C4⋊C4×C137D411yescharacteristic
87C2×C4⋊C4×C137C2311yescharacteristic
88C2×C4⋊C4×C137C2311yescharacteristic
89C2×C4⋊C4×C137C2311yescharacteristic
90C2×C4⋊C4×C137C2311yescharacteristic
91C2×C4⋊C4×C137C2311yescharacteristic
92C2×C22⋊C4×C137—21no—
93C2×C22⋊C4×C137—21no—
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×C42×C137—21no—
101C2×C42×C137—21no—
102C2×C42×C137—21no—
103C2×C42×C137—21no—
104C2×C42×C137C2311yescharacteristic
105C2×C42×C137C2311yescharacteristic
106C2×C42×C137C2311yescharacteristic
107#107×C137—22no—
108#106×C137—22no—
109C4⋊C8×C137—22no—
110C4⋊C8×C137—41no—
111C4⋊C8×C137—41no—
112#103×C137—22no—
113#103×C137—22no—
114#103×C137—22no—
115#103×C137—22no—
116#102×C137—22no—
117#102×C137—22no—
118#102×C137—22no—
119#102×C137—22no—
120#102×C137—22no—
121#102×C137—22no—
122#102×C137—41no—
123#102×C137—41no—
124#97×C137—22no—
125#95×C137—21no—
126#95×C137—21no—
127#95×C137—21no—
128#95×C137—21no—
129#95×C137—21no—
130#95×C137D411yescharacteristic
131#95×C137D411yescharacteristic
132C24×C137—21no—
133C24×C137—21no—
134C2×Q8×C137—21no—
135C2×Q8×C137—21no—
136C2×Q8×C137—21no—
137C2×Q8×C137—21no—
138C2×Q8×C137—21no—
139C2×Q8×C137#4112yes—
140C2×D4×C137—21no—
141C2×D4×C137—21no—
142C2×D4×C137—21no—
143C2×D4×C137—21no—
144C2×D4×C137—21no—
145C2×D4×C137—21no—
146C2×D4×C137—21no—
147C2×D4×C137—21no—
148C2×D4×C137—21no—
149C2×D4×C137—21no—
150C2×D4×C137—21no—
151C2×D4×C137—21no—
152C2×D4×C137—42no—
153C2×D4×C137—42no—
154C2×D4×C137—42no—
155C2×D4×C137—42no—
156C2×D4×C137—81no—
157C2×D4×C137—81no—
158C22×C4×C137—21no—
159C22×C4×C137—21no—
160C22×C4×C137—21no—
161C22×C4×C137—21no—
162C22×C4×C137—21no—
163C22×C4×C137—21no—
164C22×C4×C137C2×D411yescharacteristic
165C22×C4×C137C2×D411yescharacteristic
166C22×C4×C137C2×D411yescharacteristic
167C22×C4×C137C2×D411yescharacteristic
168C22×C4×C137C2×D411yescharacteristic
169C22×C4×C137C2×D411yescharacteristic
170C22×C4×C137C2411yescharacteristic
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—21no—
178C2×C8×C137—21no—
179C2×C8×C137—21no—
180C2×C8×C137—21no—
181C2×C8×C137—21no—
182C2×C8×C137—21no—
183C4⋊C4×C137—24no—
184C4⋊C4×C137—24no—
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—21no—
192C4⋊C4×C137—41no—
193C4⋊C4×C137—41no—
194C4⋊C4×C137—42no—
195C4⋊C4×C137—42no—
196C4⋊C4×C137—81no—
197C4⋊C4×C137C2×D412yes—
198C4⋊C4×C137C2×D412yes—
199C4⋊C4×C137#4112yes—
200C22⋊C4×C137—42no—
201C22⋊C4×C137—42no—
202C22⋊C4×C137—42no—
203C22⋊C4×C137—42no—
204C22⋊C4×C137—81no—
205C22⋊C4×C137—81no—
206C22⋊C4×C137—81no—
207C22⋊C4×C137—81no—
208C42×C137—21no—
209C42×C137—21no—
210C42×C137—21no—
211C42×C137—21no—
212C42×C137—42no—
213C42×C137—42no—
214C42×C137—81no—
215C42×C137—81no—
216C42×C137C2×D412yes—
217C42×C137#4112yes—
218C23×C137—41no—
219C23×C137—41no—
220C23×C137—41no—
221C23×C137—41no—
222C23×C137—41no—
223C23×C137—41no—
224C23×C137—41no—
225C23×C137—41no—
226C23×C137—41no—
227C23×C137—41no—
228C23×C137—41no—
229C23×C137—41no—
230C23×C137—41no—
231C23×C137—41no—
232C23×C137C22×D411yescharacteristic
233Q8×C137—22no—
234Q8×C137—22no—
235Q8×C137—41no—
236Q8×C137—41no—
237D4×C137—41no—
238D4×C137—41no—
239D4×C137—41no—
240D4×C137—41no—
241D4×C137—41no—
242D4×C137—41no—
243D4×C137—41no—
244D4×C137—41no—
245D4×C137—84no—
246D4×C137—84no—
247C2×C4×C137—21no—
248C2×C4×C137—21no—
249C2×C4×C137—21no—
250C2×C4×C137—21no—
251C2×C4×C137—22no—
252C2×C4×C137—22no—
253C2×C4×C137—21no—
254C2×C4×C137—21no—
255C2×C4×C137—21no—
256C2×C4×C137—21no—
257C2×C4×C137—22no—
258C2×C4×C137—22no—
259C2×C4×C137—21no—
260C2×C4×C137—21no—
261C2×C4×C137—21no—
262C2×C4×C137—21no—
263C2×C4×C137—21no—
264C2×C4×C137—21no—
265C2×C4×C137—21no—
266C2×C4×C137—21no—
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—41no—
275C2×C4×C137—41no—
276C2×C4×C137—41no—
277C2×C4×C137—41no—
278C2×C4×C137—41no—
279C2×C4×C137—41no—
280C2×C4×C137—41no—
281C2×C4×C137#12112yes—
282C2×C4×C137#12112yes—
283C2×C4×C137C22×D411yescharacteristic
284C2×C4×C137C2×#4111yescharacteristic
285C2×C4×C137C2×#4111yescharacteristic
286C2×C4×C137C2×#4111yescharacteristic
287C2×C4×C137H(5,𝔽2)11yescharacteristic
288C2×C4×C1372−1+411yescharacteristic
289C8×C137—41no—
290C8×C137—41no—
291C8×C137—41no—
292C8×C137—41no—
293C22×C137—81no—
294C22×C137—81no—
295C22×C137—81no—
296C22×C137—81no—
297C22×C137—81no—
298C22×C137—81no—
299C22×C137—81no—
300C22×C137—81no—
301C22×C137—81no—
302C22×C137—81no—
303C22×C137—81no—
304C22×C137—81no—
305C22×C137—81no—
306C22×C137—81no—
307C22×C137C2×#12111yescharacteristic
308C22×C137#54611yescharacteristic
309C22×C137#54811yescharacteristic
310C22×C137#57511yescharacteristic
311C22×C137#57511yescharacteristic
312C22×C137#57611yescharacteristic
313C22×C137#57711yescharacteristic
314C4×C137—22no—
315C4×C137—22no—
316C4×C137—42no—
317C4×C137—42no—
318C4×C137—42no—
319C4×C137—42no—
320C4×C137—41no—
321C4×C137—41no—
322C4×C137—41no—
323C4×C137—41no—
324C4×C137—81no—
325C4×C137—81no—
326C4×C137#52911yescharacteristic
327C4×C137#54211yescharacteristic
328C4×C137#54811yescharacteristic
329C4×C137#55011yescharacteristic
330C2×C137—161no—
331C2×C137—161no—
332C2×C137#242611yescharacteristic
333C2×C137#304011yescharacteristic
334C2×C137#304511yescharacteristic
335C2×C137#330911yescharacteristic
336C2×C137#331711yescharacteristic
337C2×C137#337011yescharacteristic
338C2×C137#337111yescharacteristic
339#25291C13711yesmaximal, characteristic, direct product factor, Sylow
340C137#2529111yescharacteristic, direct product factor, Sylow
341C2×#490C2×C13711yescharacteristic
342C2×#479C2×C13711yescharacteristic, complemented
343#2548C2×C13711yescharacteristic
344#2370C2×C13711yescharacteristic, complemented
345#2067C2×C13711yescharacteristic, complemented
346#2065C2×C13711yescharacteristic, complemented
347#2042C2×C13711yescharacteristic, complemented
348#2042C2×C13711yescharacteristic, complemented
349#1983C2×C13711yescharacteristic, complemented
350#1983C2×C13711yescharacteristic, complemented
351#1982C2×C13711yescharacteristic
352#1940C2×C13711yescharacteristic, complemented
353#1926C2×C13711yescharacteristic, complemented
354#1925C2×C13711yescharacteristic, complemented
355#1763C2×C13711yescharacteristic, complemented
356C2×#127C22×C13711yescharacteristic
357C2×#125C22×C13711yescharacteristic
358C2×#124C22×C13711yescharacteristic
359C2×#124C22×C13711yescharacteristic
360C2×C4×Q8C22×C13711yescharacteristic
361#490—24no—
362#479—24no—
363C2×#107C22×C13711yescharacteristic
364C2×#106C22×C13711yescharacteristic
365C2×C4⋊C8C22×C13711yescharacteristic
366C2×C4⋊C8C22×C13711yescharacteristic
367C2×C4⋊C8C22×C13711yescharacteristic
368C2×#103C22×C13711yescharacteristic
369C2×#103C22×C13711yescharacteristic
370C2×#103C22×C13711yescharacteristic
371C2×#103C22×C13711yescharacteristic
372C2×#102C22×C13711yescharacteristic
373C2×#102C22×C13711yescharacteristic
374C2×#102C22×C13711yescharacteristic
375C2×#102C22×C13711yescharacteristic
376C2×#102C22×C13711yescharacteristic
377C2×#102C22×C13711yescharacteristic
378C2×#102C22×C13711yescharacteristic
379C2×#102C22×C13711yescharacteristic
380C2×#97C22×C13711yescharacteristic
381#394—21no—
382#394—21no—
383#390—21no—
384#390—21no—
385#390C22×C13711yescharacteristic
386#390C22×C13711yescharacteristic
387#389—21no—
388#389C22×C13711yescharacteristic
389#389C22×C13711yescharacteristic
390#387—21no—
391#387—21no—
392C4×C4⋊C4—21no—
393C4×C4⋊C4C22×C13711yescharacteristic
394C4×C4⋊C4C22×C13711yescharacteristic
395C4×C4⋊C4C22×C13711yescharacteristic
396C4×C4⋊C4C22×C13711yescharacteristic
397#340C22×C13711yescharacteristic
398#340C22×C13711yescharacteristic
399#336C22×C13711yescharacteristic
400#336C22×C13711yescharacteristic
401C22×Q8C23×C13711yescharacteristic
402C22×D4—21no—
403C22×D4—21no—
404C22×D4C23×C13711yescharacteristic
405C22×D4C23×C13711yescharacteristic
406C22×C8C23×C13711yescharacteristic
407C22×C8C23×C13711yescharacteristic
408C22×C8C23×C13711yescharacteristic
409C22×C8C23×C13711yescharacteristic
410#127—22no—
411#127—22no—
412#125—22no—
413#125D4×C13714yes—
414#124—22no—
415#124—22no—
416#124—41no—
417#124—41no—
418C4×Q8—22no—
419C4×Q8—22no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4D4×C13711yescharacteristic
426C2×C4⋊C4D4×C13711yescharacteristic
427C2×C4⋊C4C23×C13711yescharacteristic
428C2×C4⋊C4C23×C13711yescharacteristic
429C2×C4⋊C4C23×C13711yescharacteristic
430C2×C4⋊C4C23×C13711yescharacteristic
431C2×C4⋊C4C23×C13711yescharacteristic
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C13711yescharacteristic
445C2×C42C23×C13711yescharacteristic
446C2×C42C23×C13711yescharacteristic
447#107—22no—
448#106—22no—
449C4⋊C8—22no—
450C4⋊C8—41no—
451C4⋊C8—41no—
452#103—22no—
453#103—22no—
454#103—22no—
455#103—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—41no—
463#102—41no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C13711yescharacteristic
471#95D4×C13711yescharacteristic
472C24—21no—
473C24—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8#41×C13712yes—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4C2×D4×C13711yescharacteristic
505C22×C4C2×D4×C13711yescharacteristic
506C22×C4C2×D4×C13711yescharacteristic
507C22×C4C2×D4×C13711yescharacteristic
508C22×C4C2×D4×C13711yescharacteristic
509C22×C4C2×D4×C13711yescharacteristic
510C22×C4C24×C13711yescharacteristic
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—81no—
537C4⋊C4C2×D4×C13712yes—
538C4⋊C4C2×D4×C13712yes—
539C4⋊C4#41×C13712yes—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—42no—
554C42—81no—
555C42—81no—
556C42C2×D4×C13712yes—
557C42#41×C13712yes—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C13711yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4#121×C13712yes—
622C2×C4#121×C13712yes—
623C2×C4C22×D4×C13711yescharacteristic
624C2×C4C2×#41×C13711yescharacteristic
625C2×C4C2×#41×C13711yescharacteristic
626C2×C4C2×#41×C13711yescharacteristic
627C2×C4H(5,𝔽2)×C13711yescharacteristic
628C2×C42−1+4×C13711yescharacteristic
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×#121×C13711yescharacteristic
648C22#546×C13711yescharacteristic
649C22#548×C13711yescharacteristic
650C22#575×C13711yescharacteristic
651C22#575×C13711yescharacteristic
652C22#576×C13711yescharacteristic
653C22#577×C13711yescharacteristic
654C4—22no—
655C4—22no—
656C4—42no—
657C4—42no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—42no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4#529×C13711yescharacteristic
667C4#542×C13711yescharacteristic
668C4#548×C13711yescharacteristic
669C4#550×C13711yescharacteristic
670C2—161no—
671C2—161no—
672C2#2426×C13711yescharacteristic
673C2#3040×C13711yescharacteristic
674C2#3045×C13711yescharacteristic
675C2#3309×C13711yescharacteristic
676C2#3317×C13711yescharacteristic
677C2#3370×C13711yescharacteristic
678C2#3371×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C22×D4
commutator, Frattini, cosocleC22×C4C24×C137
prime radicalC2×#127×C137C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C137 ◁ C4×C4⋊C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#479×C137C2semidirect
4. #2370×C137C2semidirect
5. #2067×C137C2semidirect
6. #2065×C137C2semidirect
7. #2042×C137C2semidirect
8. #2042×C137C2semidirect
9. #1983×C137C2semidirect
10. #1983×C137C2semidirect
12. #1940×C137C2semidirect
13. #1926×C137C2semidirect
14. #1925×C137C2semidirect
15. #1763×C137C2semidirect
339. #25291C137direct (N × H)
340. C137#25291direct (N × H)
342. C2×#479C2×C137semidirect
344. #2370C2×C137semidirect
345. #2067C2×C137semidirect
346. #2065C2×C137semidirect
347. #2042C2×C137semidirect
348. #2042C2×C137semidirect
349. #1983C2×C137semidirect
350. #1983C2×C137semidirect
352. #1940C2×C137semidirect
353. #1926C2×C137semidirect
354. #1925C2×C137semidirect
355. #1763C2×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#490×C1372
C2×#479×C1372
#2548×C1372
#2370×C1372
#2067×C1372
#2065×C1372
#2042×C1372
#1983×C1372
#1982×C1372
#1940×C1372
#1926×C1372
#1925×C1372
#1763×C1372
#25291137