Finite Group Databasebeta

← C2×#13079555 #15624934

Subgroups — C2×#13079555 #15624934

Order 2816.

2822 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C211yesmaximal, characteristic, complemented
2C22×#66993C211yesmaximal, characteristic
3#13079555C2116yesmaximal, direct product factor
4C2×#10622788C212yesmaximal, complemented
5C2×#10622373C212yesmaximal, complemented
6C2×#10622375C212yesmaximal, complemented
7C2×#10622776C212yesmaximal, complemented
8C2×#10622344C211yesmaximal, characteristic, complemented
9C2×#10622831C211yesmaximal, characteristic, complemented
10C2×#10622659C211yesmaximal, characteristic, complemented
11C2×#10622331C211yesmaximal, characteristic, complemented
12C2×C11×#450C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×C22⋊D11—21no—
15C23×C22⋊D11—21no—
16C23×D44C2211yescharacteristic
17C22×C11×SD16C2212yescomplemented
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×Q8×Dic11C2211yescharacteristic, complemented
20C2×#66997C2211yescharacteristic, complemented
21C22×#4325C2212yescomplemented
22C2×#66993—21no—
23C2×#66993—21no—
24C2×#66993—24no—
25C2×#66993C2218yes—
26C2×#66993C2212yes—
27C2×#66993C2212yes—
28C22×#4324C2212yescomplemented
29C2×#66977C2211yescharacteristic
30C22×C4×Dic11C2211yescharacteristic
31C22×#4314C2212yescomplemented
32#10623153—24no—
33#10623153C2218yescomplemented
34C2×#66942—21no—
35C2×#66941C2211yescharacteristic, complemented
36C2×#66940—21no—
37C2×#66940C2211yescharacteristic, complemented
38C2×#66931—21no—
39C2×#66930—21no—
40C11×#450C2218yescomplemented
41C2×C11×#102C2212yescomplemented
42C2×C11×C22⋊C8C2211yescharacteristic
43#10622831C2218yescomplemented
44C2×#66896C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2211yescharacteristic
46#10622788C22116yescomplemented
47#10622776C22116yescomplemented
48C2×#66885C2212yescomplemented
49C2×Dic11⋊C8C2212yescomplemented
50C2×C8×Dic11C2212yescomplemented
51#10622659C2218yescomplemented
52C2×#66873C2212yescomplemented
53#10622375C22116yescomplemented
54#10622373C22116yescomplemented
55#10622344C2218yescomplemented
56#10622331C2218yescomplemented
57C25×C11—21no—
58C24×D11—21no—
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11—21no—
61C22×D4×C11—22no—
62C22×D4×C11—44no—
63C22×D4×C11C2312yes—
64C22×D4×C11C2314yes—
65C23×C4×C11C2311yescharacteristic
66C22×C22⋊D11—28no—
67C22×C22⋊D11—22no—
68C22×C22⋊D11—22no—
69C22×C22⋊D11—22no—
70C22×C22⋊D11—28no—
71C22×C22⋊D11—22no—
72C22×C22⋊D11—48no—
73C22×C22⋊D11—48no—
74C23×Dic11D411yescharacteristic
75C23×Dic11D411yescharacteristic
76C22×D44—21no—
77C22×D44—22no—
78C22×D44—44no—
79C22×D44C2312yes—
80C22×D44C2314yes—
81C22×Dic22—21no—
82C22×Dic22C2311yescharacteristic
83C2×C11×SD16—44no—
84C2×C11×SD16C2318yescomplemented
85C22×C8×C11C2312yes—
86C11×C22⋊Q8—22no—
87C11×C22⋊Q8C2314yes—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C22⋊C4—21no—
91C2×C22⋊Dic11—21no—
92Q8×Dic11—22no—
93Q8×Dic11C2314yescomplemented
94#66997—22no—
95#66997C2314yescomplemented
96C2×#4325—44no—
97C2×#4325C2318yescomplemented
98#66993—28no—
99#66993—24no—
100#66993—24no—
101#66993—28no—
102#66993C2318yes—
103#66993C2318yes—
104C2×#4324—44no—
105C2×#4324C2318yescomplemented
106C2×C4⋊Dic11—21no—
107C2×C4⋊Dic11C2311yescharacteristic
108#66977—22no—
109#66977C2314yes—
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×Dic11⋊C4—21no—
115C2×C4×Dic11—21no—
116C2×C4×Dic11—21no—
117C2×C4×Dic11D411yescharacteristic
118C2×C4×Dic11D411yescharacteristic
119C2×C4×Dic11D414yes—
120C2×C4×Dic11C2311yescharacteristic
121C2×C4×Dic11C2311yescharacteristic
122C2×C4×Dic11C2314yes—
123C22×C11⋊C8C2312yes—
124C2×#4314—44no—
125C2×#4314C2318yescomplemented
126#66942—28no—
127#66941—22no—
128#66941C2314yescomplemented
129#66940—28no—
130#66940—22no—
131#66940C2314yescomplemented
132#66931—28no—
133#66930—28no—
134C11×#102C2318yescomplemented
135C11×C22⋊C8C2314yes—
136#66896C2318yescomplemented
137C22⋊(C11⋊C8)C2314yes—
138#66885C2318yescomplemented
139Dic11⋊C8C2318yescomplemented
140C8×Dic11C2318yescomplemented
141#66873C2318yescomplemented
142C2×#3208—111nomaximal, Sylow
143C24×C11—24no—
144C24×C11—22no—
145C24×C11—44no—
146C24×C11—44no—
147C24×C11—44no—
148C24×C11C2×D411yescharacteristic
149C23×D11—24no—
150C23×D11—22no—
151C23×D11—44no—
152C23×D11—44no—
153C23×D11—44no—
154C2×Q8×C11—21no—
155C2×Q8×C11—24no—
156C2×Q8×C11C2412yes—
157C2×D4×C11—24no—
158C2×D4×C11—22no—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—48no—
162C2×D4×C11—44no—
163C2×D4×C11—48no—
164C2×D4×C11C2414yes—
165C22×C4×C11—24no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2411yescharacteristic
172C2×C22⋊D11—28no—
173C2×C22⋊D11—28no—
174C2×C22⋊D11—28no—
175C2×C22⋊D11—28no—
176C2×C22⋊D11—432no—
177C2×C22⋊D11—48no—
178C2×C22⋊D11—48no—
179C2×C22⋊D11—48no—
180C2×C22⋊D11—432no—
181C2×C22⋊D11—48no—
182C22×Dic11—24no—
183C22×Dic11—21no—
184C22×Dic11—21no—
185C22×Dic11SD1618yescomplemented
186C22×Dic11C2×D414yes—
187C22×Dic11C2×D411yescharacteristic
188C22×Dic11C2×D411yescharacteristic
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D414yes—
191C22×Dic11C2×D411yescharacteristic
192C2×D44—24no—
193C2×D44—22no—
194C2×D44—24no—
195C2×D44—24no—
196C2×D44—48no—
197C2×D44—44no—
198C2×D44—48no—
199C2×D44C2414yes—
200C2×Dic22—24no—
201C2×Dic22—21no—
202C2×Dic22—24no—
203C2×Dic22—44no—
204C2×Dic22C2412yes—
205C11×SD16—48no—
206C2×C8×C11—24no—
207C2×C8×C11C2414yes—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4C2412yes—
211C11×C22⋊C4—24no—
212C22⋊Dic11—24no—
213#4325—48no—
214#4324—48no—
215C4⋊Dic11—24no—
216C4⋊Dic11—21no—
217C4⋊Dic11C2412yes—
218Dic11⋊C4—24no—
219Dic11⋊C4—24no—
220Dic11⋊C4—24no—
221Dic11⋊C4—24no—
222Dic11⋊C4—24no—
223C4×Dic11—24no—
224C4×Dic11—24no—
225C4×Dic11C2×D414yes—
226C4×Dic11C2×D412yes—
227C4×Dic11C2×D412yes—
228C4×Dic11C2×D414yes—
229C4×Dic11C2412yes—
230C4×Dic11C2412yes—
231C2×C11⋊C8—24no—
232C2×C11⋊C8C2414yes—
233#4314—48no—
234C2×#533—111no—
235C22×#127—111no—
236#3208—1116no—
237C2×#492—112no—
238C2×#486—112no—
239C2×#460—112no—
240C2×#460—112no—
241C2×#450—111no—
242C2×#450—111no—
243C2×#450—111no—
244C2×#450D1111yescharacteristic, complemented
245C2×#431—111no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—24no—
249C23×C11—48no—
250C23×C11—48no—
251C23×C11—44no—
252C23×C11—48no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—816no—
256C23×C11C2×SD1614yes—
257C23×C11C22×D412yes—
258C23×C11C22×D411yescharacteristic
259C22×D11—24no—
260C22×D11—48no—
261C22×D11—48no—
262C22×D11—44no—
263C22×D11—48no—
264C22×D11—44no—
265C22×D11—44no—
266C22×D11—816no—
267Q8×C11—24no—
268Q8×C11—42no—
269D4×C11—24no—
270D4×C11—24no—
271D4×C11—48no—
272D4×C11—44no—
273C2×C4×C11—22no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11C22×D412yes—
281C2×C4×C11C22×D411yescharacteristic
282C2×C4×C11H(5,𝔽2)14yes—
283C2×C4×C11C2511yescharacteristic
284C22⋊D11—416no—
285C22⋊D11—416no—
286C22⋊D11—416no—
287C22⋊D11—416no—
288C2×Dic11—22no—
289C2×Dic11—28no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—42no—
293C2×Dic11—42no—
294C2×Dic11C2×SD1614yes—
295C2×Dic11C2×SD1614yes—
296C2×Dic11C2×SD16116yescomplemented
297C2×Dic11AGL(1,ℤ/8)14yes—
298C2×Dic11C22×D412yes—
299C2×Dic11C22×D412yes—
300C2×Dic11C22×D412yes—
301C2×Dic11C22×D412yes—
302D44—24no—
303D44—24no—
304D44—48no—
305D44—44no—
306Dic22—24no—
307Dic22—42no—
308Dic22—48no—
309C8×C11—24no—
310C11⋊C8—24no—
311C23×D4—111no—
312C23×D4—221no—
313C23×D4—221no—
314C23×D4C2×D1111yescharacteristic
315C22×SD16—112no—
316C22×SD16—112no—
317C22×SD16—112no—
318C22×SD16C2×D1112yescomplemented
319#533—118no—
320#533—224no—
321C2×C4⋊Q8—111no—
322C2×C4⋊Q8—111no—
323C2×#127—112no—
324C2×#127—118no—
325C2×#127—112no—
326C2×#127—221no—
327C2×#127—221no—
328C2×#127—224no—
329C2×#125—221no—
330C2×C22⋊Q8—111no—
331C2×C22⋊Q8—221no—
332C2×C22⋊Q8C2×D1111yescharacteristic
333C2×C4×Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×Q8—221no—
336C2×#117—221no—
337C22×C42—111no—
338#492—1116no—
339#486—1116no—
340#460—1116no—
341#460—1116no—
342#450—118no—
343#450—118no—
344#450—118no—
345#450C2×D1118yescomplemented
346#431—118no—
347C2×C4⋊C8—112no—
348C2×#102—112no—
349C2×#102—112no—
350C2×#102—112no—
351C2×#102C2×D1112yescomplemented
352C2×C22⋊C8—111no—
353C2×C22⋊C8C2×D1111yescharacteristic
354C2×C4×C8—112no—
355C22×C11—22no—
356C22×C11—28no—
357C22×C11—22no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—816no—
362C22×C11—88no—
363C22×C11#53512yes—
364C22×C11C22×SD1614yes—
365C22×C11C22×SD1612yes—
366C22×C11C2×AGL(1,ℤ/8)12yes—
367C22×C11C23×D411yescharacteristic
368C2×D11—44no—
369C2×D11—44no—
370C2×D11—44no—
371C2×D11—816no—
372C2×D11—88no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—42no—
376C4×C11#53512yes—
377C4×C11C2×H(5,𝔽2)12yes—
378Dic11—22no—
379Dic11—42no—
380Dic11—42no—
381Dic11C22×SD1614yes—
382Dic11C22×SD1614yes—
383Dic11C2×AGL(1,ℤ/8)14yes—
384C25—21no—
385C25—221no—
386C22×Q8—111no—
387C22×Q8—221no—
388C22×Q8C22×D1111yescharacteristic
389C22×D4—22no—
390C22×D4—21no—
391C22×D4—44no—
392C22×D4—112no—
393C22×D4—114no—
394C22×D4—228no—
395C22×D4—222no—
396C22×D4—222no—
397C22×D4—222no—
398C22×D4—228no—
399C22×D4—222no—
400C22×D4—222no—
401C22×D4—221no—
402C22×D4—444no—
403C22×D4—448no—
404C22×D4—448no—
405C22×D4C22×D1112yes—
406C22×D4C22×D1114yes—
407C23×C4—111no—
408C23×C4—111no—
409C23×C4C22×D1111yescharacteristic
410C2×SD16—44no—
411C2×SD16—118no—
412C2×SD16—118no—
413C2×SD16—118no—
414C2×SD16—444no—
415C2×SD16—444no—
416C2×SD16—444no—
417C2×SD16C22×D1118yescomplemented
418C22×C8—112no—
419C22×C8C22×D1112yes—
420C4⋊Q8—114no—
421C4⋊Q8—114no—
422C4⋊Q8—222no—
423C4⋊Q8—222no—
424#127—118no—
425#127—118no—
426#127—228no—
427#127—224no—
428#127—228no—
429#127—224no—
430#125—228no—
431C22⋊Q8—22no—
432C22⋊Q8—114no—
433C22⋊Q8—228no—
434C22⋊Q8—222no—
435C22⋊Q8C22×D1114yes—
436C4×Q8—114no—
437C4×Q8—114no—
438C4×Q8—222no—
439C4×Q8—228no—
440C4×Q8—222no—
441#117—228no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—221no—
453C2×C42—111no—
454C2×C42—111no—
455C2×C42—114no—
456C2×C42—111no—
457C2×C42—111no—
458C2×C42—114no—
459C2×C42—221no—
460C2×C42—221no—
461C4⋊C8—118no—
462#102—118no—
463#102—118no—
464#102—118no—
465#102C22×D1118yescomplemented
466C22⋊C8—114no—
467C22⋊C8C22×D1114yes—
468C4×C8—118no—
469C2×C11—24no—
470C2×C11—84no—
471C2×C11#320814yescomplemented
472C2×C11C2×#53511yescharacteristic
473C2×C11C23×SD1611yescharacteristic
474C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
475D11—84no—
476C24—24no—
477C24—22no—
478C24—44no—
479C24—44no—
480C24—44no—
481C24—224no—
482C24—222no—
483C24—444no—
484C24—444no—
485C24—444no—
486C24D4×D1111yescharacteristic
487C2×Q8—21no—
488C2×Q8—24no—
489C2×Q8—112no—
490C2×Q8—224no—
491C2×Q8—221no—
492C2×Q8—224no—
493C2×Q8—444no—
494C2×Q8C23×D1112yes—
495C2×D4—24no—
496C2×D4—22no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—48no—
500C2×D4—44no—
501C2×D4—48no—
502C2×D4—114no—
503C2×D4—228no—
504C2×D4—228no—
505C2×D4—228no—
506C2×D4—228no—
507C2×D4—224no—
508C2×D4—222no—
509C2×D4—224no—
510C2×D4—224no—
511C2×D4—448no—
512C2×D4—444no—
513C2×D4—448no—
514C2×D4—448no—
515C2×D4—448no—
516C2×D4—4432no—
517C2×D4—448no—
518C2×D4—4432no—
519C2×D4—448no—
520C2×D4C23×D1114yes—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—118no—
525C22×C4—114no—
526C22×C4—111no—
527C22×C4—111no—
528C22×C4—111no—
529C22×C4—114no—
530C22×C4—111no—
531C22×C4—224no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4D4×D1112yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4C23×D1112yes—
537C22×C4C23×D1111yescharacteristic
538SD16—48no—
539SD16—448no—
540SD16—448no—
541SD16—448no—
542C2×C8—24no—
543C2×C8—114no—
544C2×C8—224no—
545C2×C8C23×D1114yes—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—112no—
549C4⋊C4—224no—
550C4⋊C4—224no—
551C4⋊C4—224no—
552C4⋊C4—224no—
553C4⋊C4—224no—
554C4⋊C4—221no—
555C4⋊C4—224no—
556C4⋊C4C23×D1112yes—
557C22⋊C4—24no—
558C22⋊C4—224no—
559C42—114no—
560C42—112no—
561C42—114no—
562C42—112no—
563C42—112no—
564C42—112no—
565C42—224no—
566C42—224no—
567C11C2×#320811yescharacteristic, complemented, Sylow
568C23—22no—
569C23—22no—
570C23—24no—
571C23—48no—
572C23—48no—
573C23—48no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—816no—
578C23—224no—
579C23—448no—
580C23—448no—
581C23—448no—
582C23—444no—
583C23—444no—
584C23—444no—
585C23—8816no—
586C23SD16×D1114yes—
587C23C2×D4×D1112yes—
588C23C2×D4×D1111yescharacteristic
589Q8—24no—
590Q8—42no—
591Q8—224no—
592Q8—448no—
593Q8—442no—
594D4—24no—
595D4—24no—
596D4—48no—
597D4—44no—
598D4—224no—
599D4—224no—
600D4—448no—
601D4—4416no—
602D4—4416no—
603D4—4416no—
604D4—4416no—
605D4—444no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—114no—
614C2×C4—114no—
615C2×C4—1116no—
616C2×C4—114no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—112no—
620C2×C4—112no—
621C2×C4—228no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—442no—
626C2×C4—442no—
627C2×C4C2×D4×D1112yes—
628C2×C4C2×D4×D1111yescharacteristic
629C2×C4#6703714yes—
630C2×C4C24×D1111yescharacteristic
631C8—24no—
632C8—224no—
633C22—28no—
634C22—22no—
635C22—22no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—816no—
640C22—88no—
641C22—444no—
642C22—444no—
643C22—444no—
644C22—8816no—
645C22—888no—
646C22#1062312312yes—
647C22C2×SD16×D1114yes—
648C22C2×SD16×D1112yes—
649C22D11×AGL(1,ℤ/8)12yes—
650C22C22×D4×D1111yescharacteristic
651C4—22no—
652C4—42no—
653C4—42no—
654C4—114no—
655C4—114no—
656C4—114no—
657C4—222no—
658C4—442no—
659C4—442no—
660C4#1062312312yes—
661C4C2×#6703712yes—
662C2—24no—
663C2—84no—
664C2—884no—
665C2#1307955514yesdirect product factor
666C2C2×#1062312311yescharacteristic
667C2C22×SD16×D1111yescharacteristic
668C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#450C2
socleC23×C11C22×D4
prime radicalC22×#66993C2
hypercenterC2×#450D11
hypocenterC11C2×#3208
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#450

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
3. #13079555C2direct (N × H)
4. C2×#10622788C2semidirect
5. C2×#10622373C2semidirect
6. C2×#10622375C2semidirect
7. C2×#10622776C2semidirect
8. C2×#10622344C2semidirect
9. C2×#10622831C2semidirect
10. C2×#10622659C2semidirect
11. C2×#10622331C2semidirect
12. C2×C11×#450C2semidirect
17. C22×C11×SD16C22semidirect
19. C2×Q8×Dic11C22semidirect
20. C2×#66997C22semidirect
21. C22×#4325C22semidirect
28. C22×#4324C22semidirect
31. C22×#4314C22semidirect
33. #10623153C22semidirect
35. C2×#66941C22semidirect
37. C2×#66940C22semidirect
40. C11×#450C22semidirect
41. C2×C11×#102C22semidirect
43. #10622831C22semidirect
44. C2×#66896C22semidirect
46. #10622788C22semidirect
47. #10622776C22semidirect
48. C2×#66885C22semidirect
49. C2×Dic11⋊C8C22semidirect
50. C2×C8×Dic11C22semidirect
51. #10622659C22semidirect
52. C2×#66873C22semidirect
53. #10622375C22semidirect
54. #10622373C22semidirect
55. #10622344C22semidirect
56. #10622331C22semidirect
84. C2×C11×SD16C23semidirect
93. Q8×Dic11C23semidirect
95. #66997C23semidirect
97. C2×#4325C23semidirect
105. C2×#4324C23semidirect
125. C2×#4314C23semidirect
128. #66941C23semidirect
131. #66940C23semidirect
134. C11×#102C23semidirect
136. #66896C23semidirect
138. #66885C23semidirect
139. Dic11⋊C8C23semidirect
140. C8×Dic11C23semidirect
141. #66873C23semidirect
185. C22×Dic11SD16semidirect
244. C2×#450D11semidirect
296. C2×Dic11C2×SD16semidirect
318. C22×SD16C2×D11semidirect
345. #450C2×D11semidirect
351. C2×#102C2×D11semidirect
417. C2×SD16C22×D11semidirect
465. #102C22×D11semidirect
471. C2×C11#3208semidirect
567. C11C2×#3208semidirect
665. C2#13079555direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231532
C22×#669932
#130795552
C2×#106227882
C2×#106223732
C2×#106223752
C2×#106227762
C2×#106223442
C2×#106228312
C2×#106226592
C2×#106223312
C2×C11×#4502
C2×#320811