Finite Group Databasebeta

← C137×#26310 #46875696

Subgroups — C137×#26310 #46875696

Order 35072.

784 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2562×C137C211yesmaximal, characteristic
2D4×C4⋊C4×C137C211yesmaximal, characteristic
3#2077×C137C211yesmaximal, characteristic, complemented
4#2077×C137C211yesmaximal, characteristic, complemented
5#2076×C137C211yesmaximal, characteristic, complemented
6#2075×C137C211yesmaximal, characteristic, complemented
7#1992×C137C211yesmaximal, characteristic, complemented
8#1989×C137C211yesmaximal, characteristic, complemented
9#1955×C137C211yesmaximal, characteristic
10#1948×C137C211yesmaximal, characteristic, complemented
11#1853×C137C211yesmaximal, characteristic, complemented
12#1853×C137C211yesmaximal, characteristic, complemented
13#1824×C137C211yesmaximal, characteristic, complemented
14#1823×C137C211yesmaximal, characteristic, complemented
15#1776×C137C211yesmaximal, characteristic, complemented
16C2×#125×C137C2211yescharacteristic
17C2×C4×D4×C137—21no—
18C2×C4×D4×C137C2211yescharacteristic
19C22×C4⋊C4×C137C2211yescharacteristic
20C22×C4⋊C4×C137C2211yescharacteristic
21C2×#107×C137C2211yescharacteristic
22C2×#106×C137C2211yescharacteristic
23C2×#106×C137C2211yescharacteristic
24C2×#106×C137C2211yescharacteristic
25C2×C4⋊C8×C137C2211yescharacteristic
26C2×C22⋊C8×C137C2211yescharacteristic
27C2×C22⋊C8×C137C2211yescharacteristic
28C2×C22⋊C8×C137C2211yescharacteristic
29C2×C22⋊C8×C137C2211yescharacteristic
30C2×#97×C137C2211yescharacteristic
31#400×C137—21no—
32#394×C137—21no—
33#389×C137—21no—
34#388×C137—21no—
35#388×C137—21no—
36#385×C137—21no—
37#385×C137—21no—
38#384×C137C2211yescharacteristic
39#380×C137C2211yescharacteristic
40#380×C137C2211yescharacteristic
41#380×C137C2211yescharacteristic
42#380×C137C2211yescharacteristic
43#380×C137C2211yescharacteristic
44#380×C137C2211yescharacteristic
45C4×C4⋊C4×C137C2211yescharacteristic
46C4×C4⋊C4×C137C2211yescharacteristic
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#340×C137C2211yescharacteristic
58#340×C137C2211yescharacteristic
59C22×D4×C137D411yescharacteristic
60C23×C4×C137—21no—
61C23×C4×C137—21no—
62C23×C4×C137C2311yescharacteristic
63C23×C4×C137C2311yescharacteristic
64C22×C8×C137C2311yescharacteristic
65C22×C8×C137C2311yescharacteristic
66C22×C8×C137C2311yescharacteristic
67C22×C8×C137C2311yescharacteristic
68#125×C137—22no—
69#125×C137—22no—
70C4×D4×C137—22no—
71C4×D4×C137—22no—
72C4×D4×C137—44no—
73C2×C4⋊C4×C137—22no—
74C2×C4⋊C4×C137—22no—
75C2×C4⋊C4×C137—21no—
76C2×C4⋊C4×C137—21no—
77C2×C4⋊C4×C137—21no—
78C2×C4⋊C4×C137—21no—
79C2×C4⋊C4×C137—21no—
80C2×C4⋊C4×C137—21no—
81C2×C4⋊C4×C137—41no—
82C2×C4⋊C4×C137—41no—
83C2×C4⋊C4×C137D411yescharacteristic
84C2×C4⋊C4×C137C2311yescharacteristic
85C2×C4⋊C4×C137C2311yescharacteristic
86C2×C4⋊C4×C137C2311yescharacteristic
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×C137D411yescharacteristic
99C2×C22⋊C4×C137D411yescharacteristic
100C2×C42×C137—21no—
101C2×C42×C137—21no—
102C2×C42×C137C2311yescharacteristic
103#107×C137—22no—
104#106×C137—22no—
105#106×C137—41no—
106#106×C137—41no—
107C4⋊C8×C137—22no—
108C22⋊C8×C137—22no—
109C22⋊C8×C137—22no—
110C22⋊C8×C137—41no—
111C22⋊C8×C137—41no—
112#97×C137—22no—
113#95×C137—21no—
114#95×C137—21no—
115#95×C137—21no—
116#95×C137—21no—
117#95×C137—21no—
118#95×C137—21no—
119#95×C137—21no—
120#95×C137—21no—
121C24×C137C2×D411yescharacteristic
122C24×C137C2×D411yescharacteristic
123C2×D4×C137—22no—
124C2×D4×C137—22no—
125C2×D4×C137—22no—
126C22×C4×C137—21no—
127C22×C4×C137—21no—
128C22×C4×C137—21no—
129C22×C4×C137—21no—
130C22×C4×C137—21no—
131C22×C4×C137—21no—
132C22×C4×C137—21no—
133C22×C4×C137—21no—
134C22×C4×C137—21no—
135C22×C4×C137—21no—
136C22×C4×C137—21no—
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—42no—
147C22×C4×C137—42no—
148C22×C4×C137—42no—
149C22×C4×C137—42no—
150C22×C4×C137—81no—
151C22×C4×C137—81no—
152C22×C4×C137C2×D411yescharacteristic
153C22×C4×C137C2×D411yescharacteristic
154C22×C4×C137C2×D411yescharacteristic
155C22×C4×C137C2×D411yescharacteristic
156C22×C4×C137C2411yescharacteristic
157C2×C8×C137—21no—
158C2×C8×C137—21no—
159C2×C8×C137—21no—
160C2×C8×C137—21no—
161C2×C8×C137—21no—
162C2×C8×C137—21no—
163C2×C8×C137—21no—
164C2×C8×C137—21no—
165C2×C8×C137—21no—
166C2×C8×C137—21no—
167C2×C8×C137—21no—
168C2×C8×C137#4112yes—
169C4⋊C4×C137—22no—
170C4⋊C4×C137—21no—
171C4⋊C4×C137—21no—
172C4⋊C4×C137—21no—
173C4⋊C4×C137—21no—
174C4⋊C4×C137—21no—
175C4⋊C4×C137—21no—
176C4⋊C4×C137—21no—
177C4⋊C4×C137—21no—
178C4⋊C4×C137—21no—
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—42no—
186C4⋊C4×C137—42no—
187C4⋊C4×C137—42no—
188C4⋊C4×C137—42no—
189C4⋊C4×C137—42no—
190C4⋊C4×C137—81no—
191C4⋊C4×C137#4112yes—
192C22⋊C4×C137—22no—
193C22⋊C4×C137—22no—
194C22⋊C4×C137—42no—
195C22⋊C4×C137—42no—
196C22⋊C4×C137—42no—
197C22⋊C4×C137—42no—
198C22⋊C4×C137—81no—
199C22⋊C4×C137—81no—
200C42×C137—42no—
201C42×C137—81no—
202C42×C137#4112yes—
203C42×C137#4112yes—
204C23×C137—21no—
205C23×C137—21no—
206C23×C137—21no—
207C23×C137—21no—
208C23×C137—21no—
209C23×C137—21no—
210C23×C137—21no—
211C23×C137—21no—
212C23×C137—21no—
213C23×C137—21no—
214C23×C137—21no—
215C23×C137—21no—
216C23×C137AGL(1,ℤ/8)12yes—
217C23×C137#13712yes—
218C23×C137C22×D411yescharacteristic
219D4×C137—28no—
220C2×C4×C137—21no—
221C2×C4×C137—21no—
222C2×C4×C137—21no—
223C2×C4×C137—21no—
224C2×C4×C137—21no—
225C2×C4×C137—21no—
226C2×C4×C137—22no—
227C2×C4×C137—21no—
228C2×C4×C137—21no—
229C2×C4×C137—21no—
230C2×C4×C137—21no—
231C2×C4×C137—41no—
232C2×C4×C137—41no—
233C2×C4×C137—41no—
234C2×C4×C137—41no—
235C2×C4×C137—41no—
236C2×C4×C137—41no—
237C2×C4×C137—41no—
238C2×C4×C137—41no—
239C2×C4×C137—41no—
240C2×C4×C137—41no—
241C2×C4×C137—41no—
242C2×C4×C137—41no—
243C2×C4×C137—41no—
244C2×C4×C137—41no—
245C2×C4×C137—41no—
246C2×C4×C137—41no—
247C2×C4×C137—41no—
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—84no—
263C2×C4×C137—84no—
264C2×C4×C137#12312yes—
265C2×C4×C137#12312yes—
266C2×C4×C137C2×#4111yescharacteristic
267C2×C4×C137C2×#4111yescharacteristic
268C2×C4×C137C2×#4111yescharacteristic
269C2×C4×C137C2×#4111yescharacteristic
270C2×C4×C137H(5,𝔽2)11yescharacteristic
271C2×C4×C1372−1+411yescharacteristic
272C8×C137—22no—
273C8×C137—41no—
274C8×C137—41no—
275C8×C137—41no—
276C22×C137—22no—
277C22×C137—22no—
278C22×C137—22no—
279C22×C137—22no—
280C22×C137—22no—
281C22×C137—22no—
282C22×C137—41no—
283C22×C137—41no—
284C22×C137—41no—
285C22×C137—41no—
286C22×C137—41no—
287C22×C137—41no—
288C22×C137—41no—
289C22×C137—41no—
290C22×C137C2×#12311yescharacteristic
291C22×C137#54611yescharacteristic
292C22×C137#54711yescharacteristic
293C22×C137C2×AGL(1,ℤ/8)11yescharacteristic
294C22×C137C2×#13711yescharacteristic
295C22×C137#57711yescharacteristic
296C22×C137#57711yescharacteristic
297C4×C137—22no—
298C4×C137—22no—
299C4×C137—41no—
300C4×C137—41no—
301C4×C137—42no—
302C4×C137—81no—
303C4×C137—81no—
304C4×C137—81no—
305C4×C137—81no—
306C4×C137—81no—
307C4×C137—81no—
308C4×C137—81no—
309C4×C137#52911yescharacteristic
310C4×C137#54211yescharacteristic
311C4×C137#55611yescharacteristic
312C4×C137#55911yescharacteristic
313C2×C137—42no—
314C2×C137—42no—
315C2×C137#244711yescharacteristic
316C2×C137#309211yescharacteristic
317C2×C137#309911yescharacteristic
318C2×C137#331011yescharacteristic
319C2×C137#332011yescharacteristic
320C2×C137#334411yescharacteristic
321C2×C137#334511yescharacteristic
322#26310C13711yesmaximal, characteristic, direct product factor, Sylow
323C137#2631011yescharacteristic, direct product factor, Sylow
324#2562C2×C13711yescharacteristic
325D4×C4⋊C4C2×C13711yescharacteristic
326#2077C2×C13711yescharacteristic, complemented
327#2077C2×C13711yescharacteristic, complemented
328#2076C2×C13711yescharacteristic, complemented
329#2075C2×C13711yescharacteristic, complemented
330#1992C2×C13711yescharacteristic, complemented
331#1989C2×C13711yescharacteristic, complemented
332#1955C2×C13711yescharacteristic
333#1948C2×C13711yescharacteristic, complemented
334#1853C2×C13711yescharacteristic, complemented
335#1853C2×C13711yescharacteristic, complemented
336#1824C2×C13711yescharacteristic, complemented
337#1823C2×C13711yescharacteristic, complemented
338#1776C2×C13711yescharacteristic, complemented
339C2×#125C22×C13711yescharacteristic
340C2×C4×D4—21no—
341C2×C4×D4C22×C13711yescharacteristic
342C22×C4⋊C4C22×C13711yescharacteristic
343C22×C4⋊C4C22×C13711yescharacteristic
344C2×#107C22×C13711yescharacteristic
345C2×#106C22×C13711yescharacteristic
346C2×#106C22×C13711yescharacteristic
347C2×#106C22×C13711yescharacteristic
348C2×C4⋊C8C22×C13711yescharacteristic
349C2×C22⋊C8C22×C13711yescharacteristic
350C2×C22⋊C8C22×C13711yescharacteristic
351C2×C22⋊C8C22×C13711yescharacteristic
352C2×C22⋊C8C22×C13711yescharacteristic
353C2×#97C22×C13711yescharacteristic
354#400—21no—
355#394—21no—
356#389—21no—
357#388—21no—
358#388—21no—
359#385—21no—
360#385—21no—
361#384C22×C13711yescharacteristic
362#380C22×C13711yescharacteristic
363#380C22×C13711yescharacteristic
364#380C22×C13711yescharacteristic
365#380C22×C13711yescharacteristic
366#380C22×C13711yescharacteristic
367#380C22×C13711yescharacteristic
368C4×C4⋊C4C22×C13711yescharacteristic
369C4×C4⋊C4C22×C13711yescharacteristic
370#340C22×C13711yescharacteristic
371#340C22×C13711yescharacteristic
372#340C22×C13711yescharacteristic
373#340C22×C13711yescharacteristic
374#340C22×C13711yescharacteristic
375#340C22×C13711yescharacteristic
376#340C22×C13711yescharacteristic
377#340C22×C13711yescharacteristic
378#340C22×C13711yescharacteristic
379#340C22×C13711yescharacteristic
380#340C22×C13711yescharacteristic
381#340C22×C13711yescharacteristic
382C22×D4D4×C13711yescharacteristic
383C23×C4—21no—
384C23×C4—21no—
385C23×C4C23×C13711yescharacteristic
386C23×C4C23×C13711yescharacteristic
387C22×C8C23×C13711yescharacteristic
388C22×C8C23×C13711yescharacteristic
389C22×C8C23×C13711yescharacteristic
390C22×C8C23×C13711yescharacteristic
391#125—22no—
392#125—22no—
393C4×D4—22no—
394C4×D4—22no—
395C4×D4—44no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4D4×C13711yescharacteristic
407C2×C4⋊C4C23×C13711yescharacteristic
408C2×C4⋊C4C23×C13711yescharacteristic
409C2×C4⋊C4C23×C13711yescharacteristic
410C2×C4⋊C4C23×C13711yescharacteristic
411C2×C4⋊C4C23×C13711yescharacteristic
412C2×C4⋊C4C23×C13711yescharacteristic
413C2×C4⋊C4C23×C13711yescharacteristic
414C2×C4⋊C4C23×C13711yescharacteristic
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4D4×C13711yescharacteristic
422C2×C22⋊C4D4×C13711yescharacteristic
423C2×C42—21no—
424C2×C42—21no—
425C2×C42C23×C13711yescharacteristic
426#107—22no—
427#106—22no—
428#106—41no—
429#106—41no—
430C4⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—22no—
433C22⋊C8—41no—
434C22⋊C8—41no—
435#97—22no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444C24C2×D4×C13711yescharacteristic
445C24C2×D4×C13711yescharacteristic
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4C2×D4×C13711yescharacteristic
476C22×C4C2×D4×C13711yescharacteristic
477C22×C4C2×D4×C13711yescharacteristic
478C22×C4C2×D4×C13711yescharacteristic
479C22×C4C24×C13711yescharacteristic
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8#41×C13712yes—
492C4⋊C4—22no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—81no—
514C4⋊C4#41×C13712yes—
515C22⋊C4—22no—
516C22⋊C4—22no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—81no—
522C22⋊C4—81no—
523C42—42no—
524C42—81no—
525C42#41×C13712yes—
526C42#41×C13712yes—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23AGL(1,ℤ/8)×C13712yes—
540C23#137×C13712yes—
541C23C22×D4×C13711yescharacteristic
542D4—28no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—84no—
586C2×C4—84no—
587C2×C4#123×C13712yes—
588C2×C4#123×C13712yes—
589C2×C4C2×#41×C13711yescharacteristic
590C2×C4C2×#41×C13711yescharacteristic
591C2×C4C2×#41×C13711yescharacteristic
592C2×C4C2×#41×C13711yescharacteristic
593C2×C4H(5,𝔽2)×C13711yescharacteristic
594C2×C42−1+4×C13711yescharacteristic
595C8—22no—
596C8—41no—
597C8—41no—
598C8—41no—
599C22—22no—
600C22—22no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22C2×#123×C13711yescharacteristic
614C22#546×C13711yescharacteristic
615C22#547×C13711yescharacteristic
616C22C2×AGL(1,ℤ/8)×C13711yescharacteristic
617C22C2×#137×C13711yescharacteristic
618C22#577×C13711yescharacteristic
619C22#577×C13711yescharacteristic
620C4—22no—
621C4—22no—
622C4—42no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4—81no—
632C4#529×C13711yescharacteristic
633C4#542×C13711yescharacteristic
634C4#556×C13711yescharacteristic
635C4#559×C13711yescharacteristic
636C2—42no—
637C2—42no—
638C2#2447×C13711yescharacteristic
639C2#3092×C13711yescharacteristic
640C2#3099×C13711yescharacteristic
641C2#3310×C13711yescharacteristic
642C2#3320×C13711yescharacteristic
643C2#3344×C13711yescharacteristic
644C2#3345×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. #2077×C137C2semidirect
4. #2077×C137C2semidirect
5. #2076×C137C2semidirect
6. #2075×C137C2semidirect
7. #1992×C137C2semidirect
8. #1989×C137C2semidirect
10. #1948×C137C2semidirect
11. #1853×C137C2semidirect
12. #1853×C137C2semidirect
13. #1824×C137C2semidirect
14. #1823×C137C2semidirect
15. #1776×C137C2semidirect
322. #26310C137direct (N × H)
323. C137#26310direct (N × H)
326. #2077C2×C137semidirect
327. #2077C2×C137semidirect
328. #2076C2×C137semidirect
329. #2075C2×C137semidirect
330. #1992C2×C137semidirect
331. #1989C2×C137semidirect
333. #1948C2×C137semidirect
334. #1853C2×C137semidirect
335. #1853C2×C137semidirect
336. #1824C2×C137semidirect
337. #1823C2×C137semidirect
338. #1776C2×C137semidirect

Maximal subgroups

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

subgroupindex
#2562×C1372
D4×C4⋊C4×C1372
#2077×C1372
#2076×C1372
#2075×C1372
#1992×C1372
#1989×C1372
#1955×C1372
#1948×C1372
#1853×C1372
#1824×C1372
#1823×C1372
#1776×C1372
#26310137