Finite Group Databasebeta

← C2×C127×#1814 #44584347

Subgroups — C2×C127×#1814 #44584347

Order 32512.

1330 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#131×C127C211yesmaximal, characteristic
2C22×#108×C127C211yesmaximal, characteristic, complemented
3C2×#427×C127C211yesmaximal, characteristic, complemented
4C2×#421×C127C212yesmaximal
5C127×#1814C218yesmaximal, direct product factor
6C2×#344×C127C212yesmaximal, complemented
7C22×#41×C127C2211yescharacteristic
8C2×#131×C127—21no—
9C2×#131×C127—21no—
10C2×#131×C127—22no—
11C2×#131×C127—22no—
12C2×#131×C127C412yescomplemented
13C2×#131×C127C412yescomplemented
14C2×#131×C127C414yescomplemented
15C2×#131×C127C2214yes—
16C22×M16×C127—21no—
17C22×M16×C127C2212yes—
18C22×M16×C127C2211yescharacteristic
19C23×C8×C127—21no—
20C23×C8×C127C2211yescharacteristic
21C2×#117×C127C2212yes—
22C2×#108×C127—21no—
23C2×#108×C127—21no—
24C2×#108×C127—22no—
25C2×#108×C127C2214yescomplemented
26#427×C127—22no—
27#427×C127C2214yescomplemented
28C2×#107×C127—21no—
29C2×#106×C127—21no—
30#421×C127—24no—
31#421×C127C2218yes—
32C2×#104×C127—24no—
33#344×C127C2218yescomplemented
34C2×#41×C127—21no—
35C2×#41×C127—21no—
36C2×#41×C127—21no—
37C2×#41×C127—21no—
38C2×#41×C127—21no—
39C2×#41×C127—21no—
40C2×#41×C127C2×C412yes—
41C2×#41×C127C2×C412yes—
42C2×#41×C127D412yes—
43C2×#41×C127D412yes—
44C2×#41×C127Q812yes—
45C2×#41×C127C2312yes—
46C22×Q8×C127Q811yescharacteristic
47C22×D4×C127—21no—
48C22×D4×C127Q811yescharacteristic
49C23×C4×C127—21no—
50C23×C4×C127C2311yescharacteristic
51#131×C127—24no—
52#131×C127—24no—
53#131×C127—24no—
54#131×C127—24no—
55#131×C127—24no—
56#131×C127—24no—
57#131×C127C2×C418yescomplemented
58#131×C127C2×C418yescomplemented
59C2×M16×C127—21no—
60C2×M16×C127—21no—
61C2×M16×C127—21no—
62C2×M16×C127—22no—
63C2×M16×C127—22no—
64C2×M16×C127—22no—
65C2×M16×C127—24no—
66C2×M16×C127—24no—
67C2×M16×C127—22no—
68C2×M16×C127—22no—
69C2×M16×C127—22no—
70C2×M16×C127—22no—
71C2×M16×C127C2×C412yes—
72C2×M16×C127C2×C412yes—
73C2×M16×C127C2314yes—
74C2×M16×C127C2312yes—
75C22×C8×C127—21no—
76C22×C8×C127—22no—
77C22×C8×C127—22no—
78C22×C8×C127—24no—
79C22×C8×C127—24no—
80C22×C8×C127—22no—
81C22×C8×C127C2×C411yescharacteristic
82C22×C8×C127C2×C411yescharacteristic
83C22×C8×C127C2×C412yes—
84C22×C8×C127D411yescharacteristic
85C22×C8×C127D411yescharacteristic
86C22×C8×C127D411yescharacteristic
87C22×C8×C127D411yescharacteristic
88C22×C8×C127D412yes—
89C22×C8×C127D412yes—
90C22×C8×C127C2312yes—
91#117×C127—22no—
92#117×C127—22no—
93#117×C127—22no—
94#117×C127C2314yes—
95C2×C4⋊C4×C127—22no—
96C2×C22⋊C4×C127—22no—
97C2×C42×C127—22no—
98#108×C127—24no—
99#108×C127—24no—
100#107×C127—24no—
101#106×C127—24no—
102#104×C127—216no—
103C24×C127—21no—
104C24×C127#4111yescharacteristic
105#41×C127—22no—
106#41×C127—22no—
107#41×C127—22no—
108#41×C127—22no—
109#41×C127—22no—
110#41×C127—22no—
111#41×C127—22no—
112#41×C127—22no—
113#41×C127—22no—
114#41×C127—22no—
115#41×C127—22no—
116#41×C127—22no—
117#41×C127C4⋊C414yes—
118#41×C127C4⋊C414yes—
119#41×C127C22×C414yes—
120#41×C127C2×D414yes—
121C2×Q8×C127—21no—
122C2×Q8×C127—21no—
123C2×Q8×C127—21no—
124C2×Q8×C127C4⋊C412yes—
125C2×Q8×C127C4⋊C412yes—
126C2×Q8×C127C2×Q812yes—
127C2×D4×C127—22no—
128C2×D4×C127—22no—
129C2×D4×C127—22no—
130C2×D4×C127—22no—
131C2×D4×C127—22no—
132C2×D4×C127—22no—
133C2×D4×C127—21no—
134C2×D4×C127—21no—
135C2×D4×C127—21no—
136C2×D4×C127C4⋊C412yes—
137C2×D4×C127C4⋊C412yes—
138C2×D4×C127C2×Q812yes—
139C22×C4×C127—21no—
140C22×C4×C127—22no—
141C22×C4×C127—22no—
142C22×C4×C127—22no—
143C22×C4×C127—22no—
144C22×C4×C127—22no—
145C22×C4×C127—22no—
146C22×C4×C127—42no—
147C22×C4×C127C22×C411yescharacteristic
148C22×C4×C127C22×C411yescharacteristic
149C22×C4×C127C2×D411yescharacteristic
150C22×C4×C127C2×D411yescharacteristic
151C22×C4×C127C2×D411yescharacteristic
152C22×C4×C127C2×D411yescharacteristic
153C22×C4×C127C2×D411yescharacteristic
154C22×C4×C127C2×D411yescharacteristic
155C22×C4×C127C2×Q811yescharacteristic
156C22×C4×C127C2×Q811yescharacteristic
157C22×C4×C127#4111yescharacteristic
158C22×C4×C127#4111yescharacteristic
159C22×C4×C127#4111yescharacteristic
160C22×C4×C127C2411yescharacteristic
161M16×C127—22no—
162M16×C127—22no—
163M16×C127—22no—
164M16×C127—28no—
165M16×C127—28no—
166M16×C127—24no—
167M16×C127—24no—
168M16×C127—42no—
169M16×C127—42no—
170M16×C127C22×C414yes—
171C2×C8×C127—22no—
172C2×C8×C127—22no—
173C2×C8×C127—22no—
174C2×C8×C127—28no—
175C2×C8×C127—28no—
176C2×C8×C127—24no—
177C2×C8×C127—42no—
178C2×C8×C127—42no—
179C2×C8×C127C22⋊C411yescharacteristic
180C2×C8×C127C22⋊C411yescharacteristic
181C2×C8×C127C22⋊C412yes—
182C2×C8×C127C22⋊C411yescharacteristic
183C2×C8×C127C22⋊C411yescharacteristic
184C2×C8×C127C22⋊C412yes—
185C2×C8×C127C22⋊C412yes—
186C2×C8×C127C22⋊C412yes—
187C2×C8×C127C22⋊C412yes—
188C2×C8×C127C22⋊C412yes—
189C2×C8×C127C22×C412yes—
190C2×C8×C127C22×C412yes—
191C2×C8×C127C2×D412yes—
192C2×C8×C127C2×D412yes—
193C2×C8×C127C2×D412yes—
194C2×C8×C127C2×D412yes—
195C4⋊C4×C127—24no—
196C4⋊C4×C127—42no—
197C22⋊C4×C127—24no—
198C22⋊C4×C127—42no—
199C42×C127—24no—
200C42×C127—42no—
201C23×C127—22no—
202C23×C127—22no—
203C23×C127—22no—
204C23×C127—42no—
205C23×C127—44no—
206C23×C127#11711yescharacteristic
207C23×C127#11711yescharacteristic
208C23×C127#12111yescharacteristic
209C23×C127#12111yescharacteristic
210C23×C127C22⋊Q811yescharacteristic
211C23×C127C22⋊Q811yescharacteristic
212C23×C127C2×#4111yescharacteristic
213Q8×C127—22no—
214Q8×C127—22no—
215Q8×C127—22no—
216Q8×C127C2×C4⋊C414yes—
217D4×C127—24no—
218D4×C127—24no—
219D4×C127—24no—
220D4×C127—24no—
221D4×C127—22no—
222D4×C127—22no—
223D4×C127—22no—
224D4×C127C2×C4⋊C414yes—
225C2×C4×C127—22no—
226C2×C4×C127—22no—
227C2×C4×C127—22no—
228C2×C4×C127—24no—
229C2×C4×C127—24no—
230C2×C4×C127—24no—
231C2×C4×C127—24no—
232C2×C4×C127—44no—
233C2×C4×C127—84no—
234C2×C4×C127C2×C22⋊C411yescharacteristic
235C2×C4×C127C2×C22⋊C411yescharacteristic
236C2×C4×C127C2×C22⋊C411yescharacteristic
237C2×C4×C127C2×C22⋊C411yescharacteristic
238C2×C4×C127C2×C4⋊C411yescharacteristic
239C2×C4×C127C2×C4⋊C411yescharacteristic
240C2×C4×C127C2×C4⋊C411yescharacteristic
241C2×C4×C127C2×C4⋊C411yescharacteristic
242C2×C4×C127#11711yescharacteristic
243C2×C4×C127#11711yescharacteristic
244C2×C4×C127#12111yescharacteristic
245C2×C4×C127#12111yescharacteristic
246C2×C4×C127#12111yescharacteristic
247C2×C4×C127#12111yescharacteristic
248C2×C4×C127#12111yescharacteristic
249C2×C4×C127#12111yescharacteristic
250C2×C4×C127C22⋊Q811yescharacteristic
251C2×C4×C127C22⋊Q811yescharacteristic
252C2×C4×C127C22⋊Q811yescharacteristic
253C2×C4×C127C22⋊Q811yescharacteristic
254C2×C4×C127C22⋊Q811yescharacteristic
255C2×C4×C127C22⋊Q811yescharacteristic
256C2×C4×C127C23×C411yescharacteristic
257C2×C4×C127C22×D411yescharacteristic
258C2×C4×C127C22×D411yescharacteristic
259C2×C4×C127C22×D411yescharacteristic
260C2×C4×C127C22×Q811yescharacteristic
261C2×C4×C127C2×#4111yescharacteristic
262C8×C127—24no—
263C8×C127—44no—
264C8×C127C2×C22⋊C412yes—
265C8×C127C2×C22⋊C412yes—
266C8×C127C2×C22⋊C412yes—
267C8×C127C2×C22⋊C412yes—
268C22×C127—22no—
269C22×C127—22no—
270C22×C127—22no—
271C22×C127—24no—
272C22×C127—41no—
273C22×C127—41no—
274C22×C127—41no—
275C22×C127—41no—
276C22×C127—44no—
277C22×C127—44no—
278C22×C127—44no—
279C22×C127#38011yescharacteristic
280C22×C127#38011yescharacteristic
281C22×C127#38011yescharacteristic
282C22×C127#38011yescharacteristic
283C22×C127C2×#11711yescharacteristic
284C22×C127C2×#12111yescharacteristic
285C22×C127C2×C22⋊Q811yescharacteristic
286C4×C127—24no—
287C4×C127—84no—
288C4×C127#38011yescharacteristic
289C4×C127#38011yescharacteristic
290C4×C127#38011yescharacteristic
291C4×C127#38011yescharacteristic
292C4×C127C22×C22⋊C411yescharacteristic
293C4×C127C22×C4⋊C411yescharacteristic
294C4×C127C2×#12111yescharacteristic
295C4×C127C2×C22⋊Q811yescharacteristic
296C2×#1814C12711yesmaximal, characteristic, direct product factor, Sylow
297C2×C127—21no—
298C2×C127—21no—
299C2×C127—21no—
300C2×C127—21no—
301C2×C127—21no—
302C2×C127—21no—
303C2×C127—44no—
304C2×C127#181412yesdirect product factor
305C2×C127C2×#38011yescharacteristic
306C22×#131C2×C12711yescharacteristic
307C22×#108C2×C12711yescharacteristic, complemented
308C2×#427C2×C12711yescharacteristic, complemented
309C2×#421C2×C12712yes—
310#1814C2×C12718yesdirect product factor
311C2×#344C2×C12712yescomplemented
312C127C2×#181411yescharacteristic, direct product factor, Sylow
313C22×#41C22×C12711yescharacteristic
314C2×#131—21no—
315C2×#131—21no—
316C2×#131—22no—
317C2×#131—22no—
318C2×#131C4×C12712yescomplemented
319C2×#131C4×C12712yescomplemented
320C2×#131C4×C12714yescomplemented
321C2×#131C22×C12714yes—
322C22×M16—21no—
323C22×M16C22×C12712yes—
324C22×M16C22×C12711yescharacteristic
325C23×C8—21no—
326C23×C8C22×C12711yescharacteristic
327C2×#117C22×C12712yes—
328C2×#108—21no—
329C2×#108—21no—
330C2×#108—22no—
331C2×#108C22×C12714yescomplemented
332#427—22no—
333#427C22×C12714yescomplemented
334C2×#107—21no—
335C2×#106—21no—
336#421—24no—
337#421C22×C12718yes—
338C2×#104—24no—
339#344C22×C12718yescomplemented
340C2×#41—21no—
341C2×#41—21no—
342C2×#41—21no—
343C2×#41—21no—
344C2×#41—21no—
345C2×#41—21no—
346C2×#41C2×C4×C12712yes—
347C2×#41C2×C4×C12712yes—
348C2×#41D4×C12712yes—
349C2×#41D4×C12712yes—
350C2×#41Q8×C12712yes—
351C2×#41C23×C12712yes—
352C22×Q8Q8×C12711yescharacteristic
353C22×D4—21no—
354C22×D4Q8×C12711yescharacteristic
355C23×C4—21no—
356C23×C4C23×C12711yescharacteristic
357#131—24no—
358#131—24no—
359#131—24no—
360#131—24no—
361#131—24no—
362#131—24no—
363#131C2×C4×C12718yescomplemented
364#131C2×C4×C12718yescomplemented
365C2×M16—21no—
366C2×M16—21no—
367C2×M16—21no—
368C2×M16—22no—
369C2×M16—22no—
370C2×M16—22no—
371C2×M16—24no—
372C2×M16—24no—
373C2×M16—22no—
374C2×M16—22no—
375C2×M16—22no—
376C2×M16—22no—
377C2×M16C2×C4×C12712yes—
378C2×M16C2×C4×C12712yes—
379C2×M16C23×C12714yes—
380C2×M16C23×C12712yes—
381C22×C8—21no—
382C22×C8—22no—
383C22×C8—22no—
384C22×C8—24no—
385C22×C8—24no—
386C22×C8—22no—
387C22×C8C2×C4×C12711yescharacteristic
388C22×C8C2×C4×C12711yescharacteristic
389C22×C8C2×C4×C12712yes—
390C22×C8D4×C12711yescharacteristic
391C22×C8D4×C12711yescharacteristic
392C22×C8D4×C12711yescharacteristic
393C22×C8D4×C12711yescharacteristic
394C22×C8D4×C12712yes—
395C22×C8D4×C12712yes—
396C22×C8C23×C12712yes—
397#117—22no—
398#117—22no—
399#117—22no—
400#117C23×C12714yes—
401C2×C4⋊C4—22no—
402C2×C22⋊C4—22no—
403C2×C42—22no—
404#108—24no—
405#108—24no—
406#107—24no—
407#106—24no—
408#104—216no—
409C24—21no—
410C24#41×C12711yescharacteristic
411#41—22no—
412#41—22no—
413#41—22no—
414#41—22no—
415#41—22no—
416#41—22no—
417#41—22no—
418#41—22no—
419#41—22no—
420#41—22no—
421#41—22no—
422#41—22no—
423#41C4⋊C4×C12714yes—
424#41C4⋊C4×C12714yes—
425#41C22×C4×C12714yes—
426#41C2×D4×C12714yes—
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8C4⋊C4×C12712yes—
431C2×Q8C4⋊C4×C12712yes—
432C2×Q8C2×Q8×C12712yes—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4C4⋊C4×C12712yes—
443C2×D4C4⋊C4×C12712yes—
444C2×D4C2×Q8×C12712yes—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—42no—
453C22×C4C22×C4×C12711yescharacteristic
454C22×C4C22×C4×C12711yescharacteristic
455C22×C4C2×D4×C12711yescharacteristic
456C22×C4C2×D4×C12711yescharacteristic
457C22×C4C2×D4×C12711yescharacteristic
458C22×C4C2×D4×C12711yescharacteristic
459C22×C4C2×D4×C12711yescharacteristic
460C22×C4C2×D4×C12711yescharacteristic
461C22×C4C2×Q8×C12711yescharacteristic
462C22×C4C2×Q8×C12711yescharacteristic
463C22×C4#41×C12711yescharacteristic
464C22×C4#41×C12711yescharacteristic
465C22×C4#41×C12711yescharacteristic
466C22×C4C24×C12711yescharacteristic
467M16—22no—
468M16—22no—
469M16—22no—
470M16—28no—
471M16—28no—
472M16—24no—
473M16—24no—
474M16—42no—
475M16—42no—
476M16C22×C4×C12714yes—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—28no—
481C2×C8—28no—
482C2×C8—24no—
483C2×C8—42no—
484C2×C8—42no—
485C2×C8C22⋊C4×C12711yescharacteristic
486C2×C8C22⋊C4×C12711yescharacteristic
487C2×C8C22⋊C4×C12712yes—
488C2×C8C22⋊C4×C12711yescharacteristic
489C2×C8C22⋊C4×C12711yescharacteristic
490C2×C8C22⋊C4×C12712yes—
491C2×C8C22⋊C4×C12712yes—
492C2×C8C22⋊C4×C12712yes—
493C2×C8C22⋊C4×C12712yes—
494C2×C8C22⋊C4×C12712yes—
495C2×C8C22×C4×C12712yes—
496C2×C8C22×C4×C12712yes—
497C2×C8C2×D4×C12712yes—
498C2×C8C2×D4×C12712yes—
499C2×C8C2×D4×C12712yes—
500C2×C8C2×D4×C12712yes—
501C4⋊C4—24no—
502C4⋊C4—42no—
503C22⋊C4—24no—
504C22⋊C4—42no—
505C42—24no—
506C42—42no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23—42no—
511C23—44no—
512C23#117×C12711yescharacteristic
513C23#117×C12711yescharacteristic
514C23#121×C12711yescharacteristic
515C23#121×C12711yescharacteristic
516C23C22⋊Q8×C12711yescharacteristic
517C23C22⋊Q8×C12711yescharacteristic
518C23C2×#41×C12711yescharacteristic
519Q8—22no—
520Q8—22no—
521Q8—22no—
522Q8C2×C4⋊C4×C12714yes—
523D4—24no—
524D4—24no—
525D4—24no—
526D4—24no—
527D4—22no—
528D4—22no—
529D4—22no—
530D4C2×C4⋊C4×C12714yes—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—22no—
534C2×C4—24no—
535C2×C4—24no—
536C2×C4—24no—
537C2×C4—24no—
538C2×C4—44no—
539C2×C4—84no—
540C2×C4C2×C22⋊C4×C12711yescharacteristic
541C2×C4C2×C22⋊C4×C12711yescharacteristic
542C2×C4C2×C22⋊C4×C12711yescharacteristic
543C2×C4C2×C22⋊C4×C12711yescharacteristic
544C2×C4C2×C4⋊C4×C12711yescharacteristic
545C2×C4C2×C4⋊C4×C12711yescharacteristic
546C2×C4C2×C4⋊C4×C12711yescharacteristic
547C2×C4C2×C4⋊C4×C12711yescharacteristic
548C2×C4#117×C12711yescharacteristic
549C2×C4#117×C12711yescharacteristic
550C2×C4#121×C12711yescharacteristic
551C2×C4#121×C12711yescharacteristic
552C2×C4#121×C12711yescharacteristic
553C2×C4#121×C12711yescharacteristic
554C2×C4#121×C12711yescharacteristic
555C2×C4#121×C12711yescharacteristic
556C2×C4C22⋊Q8×C12711yescharacteristic
557C2×C4C22⋊Q8×C12711yescharacteristic
558C2×C4C22⋊Q8×C12711yescharacteristic
559C2×C4C22⋊Q8×C12711yescharacteristic
560C2×C4C22⋊Q8×C12711yescharacteristic
561C2×C4C22⋊Q8×C12711yescharacteristic
562C2×C4C23×C4×C12711yescharacteristic
563C2×C4C22×D4×C12711yescharacteristic
564C2×C4C22×D4×C12711yescharacteristic
565C2×C4C22×D4×C12711yescharacteristic
566C2×C4C22×Q8×C12711yescharacteristic
567C2×C4C2×#41×C12711yescharacteristic
568C8—24no—
569C8—44no—
570C8C2×C22⋊C4×C12712yes—
571C8C2×C22⋊C4×C12712yes—
572C8C2×C22⋊C4×C12712yes—
573C8C2×C22⋊C4×C12712yes—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—24no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—44no—
583C22—44no—
584C22—44no—
585C22#380×C12711yescharacteristic
586C22#380×C12711yescharacteristic
587C22#380×C12711yescharacteristic
588C22#380×C12711yescharacteristic
589C22C2×#117×C12711yescharacteristic
590C22C2×#121×C12711yescharacteristic
591C22C2×C22⋊Q8×C12711yescharacteristic
592C4—24no—
593C4—84no—
594C4#380×C12711yescharacteristic
595C4#380×C12711yescharacteristic
596C4#380×C12711yescharacteristic
597C4#380×C12711yescharacteristic
598C4C22×C22⋊C4×C12711yescharacteristic
599C4C22×C4⋊C4×C12711yescharacteristic
600C4C2×#121×C12711yescharacteristic
601C4C2×C22⋊Q8×C12711yescharacteristic
602C2—21no—
603C2—21no—
604C2—21no—
605C2—21no—
606C2—21no—
607C2—21no—
608C2—44no—
609C2C127×#181412yesdirect product factor
610C2C2×#380×C12711yescharacteristic
subgroupG/H
centerC2×C4×C127#121
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
socleC22×C127#380
prime radicalC22×#41×C127C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C127 ◁ C23×C4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×#108×C127C2semidirect
3. C2×#427×C127C2semidirect
5. C127×#1814C2direct (N × H)
6. C2×#344×C127C2semidirect
12. C2×#131×C127C4semidirect
13. C2×#131×C127C4semidirect
14. C2×#131×C127C4semidirect
25. C2×#108×C127C22semidirect
27. #427×C127C22semidirect
33. #344×C127C22semidirect
57. #131×C127C2×C4semidirect
58. #131×C127C2×C4semidirect
296. C2×#1814C127direct (N × H)
304. C2×C127#1814direct (N × H)
307. C22×#108C2×C127semidirect
308. C2×#427C2×C127semidirect
310. #1814C2×C127direct (N × H)
311. C2×#344C2×C127semidirect
312. C127C2×#1814direct (N × H)
318. C2×#131C4×C127semidirect
319. C2×#131C4×C127semidirect
320. C2×#131C4×C127semidirect
331. C2×#108C22×C127semidirect
333. #427C22×C127semidirect
339. #344C22×C127semidirect
363. #131C2×C4×C127semidirect
364. #131C2×C4×C127semidirect
609. C2C127×#1814direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#131×C1272
C22×#108×C1272
C2×#427×C1272
C2×#421×C1272
C127×#18142
C2×#344×C1272
C2×#1814127