Finite Group Databasebeta

← #14661687

Subgroups — #14661687

Order 2816.

870 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622598C211yesmaximal, characteristic
2C2×#10622590C211yesmaximal, characteristic
3C2×#10622189C211yesmaximal, characteristic
4C2×#10622167C211yesmaximal, characteristic
5C2×#10622167C211yesmaximal, characteristic
6C2×#10622188C211yesmaximal, characteristic
7C2×C11×#340C211yesmaximal, characteristic
8C23×C8×C11C2211yescharacteristic
9C22×C11×C4⋊C4C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C4⋊Dic11—21no—
12C22×C4⋊Dic11C2211yescharacteristic
13C22×C4⋊Dic11C2211yescharacteristic
14C22×C4×Dic11C2211yescharacteristic
15C23×C11⋊C8C2211yescharacteristic
16C2×C11⋊#95—21no—
17C2×C11⋊#95—21no—
18C2×C11⋊#95—21no—
19#10622598—22no—
20#10622598C414yescomplemented
21#10622590—22no—
22#10622590—22no—
23C11×#340—22no—
24#10622189—22no—
25#10622188—22no—
26#10622167—22no—
27#10622167—22no—
28C23×C4×C11—21no—
29C23×C4×C11—21no—
30C23×C4×C11C2311yescharacteristic
31C23×Dic11—21no—
32C23×Dic11—21no—
33C23×Dic11D411yescharacteristic
34C23×Dic11D411yescharacteristic
35C22×C8×C11—21no—
36C22×C8×C11—21no—
37C22×C8×C11—21no—
38C22×C8×C11—21no—
39C22×C8×C11—21no—
40C22×C8×C11—21no—
41C22×C8×C11Q812yes—
42C2×C11×C4⋊C4—21no—
43C2×C11×C4⋊C4—21no—
44C2×C11×C4⋊C4—21no—
45C2×C11×C4⋊C4—21no—
46C2×C11×C4⋊C4—21no—
47C2×C11×C4⋊C4—21no—
48C2×C11×C4⋊C4—21no—
49C2×C11×C4⋊C4—21no—
50C2×C11×C4⋊C4C2×C412yes—
51C2×C11×C4⋊C4D412yes—
52C2×C11×C4⋊C4D412yes—
53C2×C11×C4⋊C4Q812yes—
54C2×C4⋊Dic11—21no—
55C2×C4⋊Dic11—21no—
56C2×C4⋊Dic11—21no—
57C2×C4⋊Dic11—21no—
58C2×C4⋊Dic11—21no—
59C2×C4⋊Dic11—21no—
60C2×C4⋊Dic11—21no—
61C2×C4⋊Dic11—21no—
62C2×C4⋊Dic11—21no—
63C2×C4⋊Dic11—21no—
64C2×C4⋊Dic11—24no—
65C2×C4⋊Dic11—42no—
66C2×C4⋊Dic11—42no—
67C2×C4⋊Dic11C2×C412yes—
68C2×C4⋊Dic11D412yes—
69C2×C4×Dic11—21no—
70C2×C4×Dic11—21no—
71C2×C4×Dic11—21no—
72C2×C4×Dic11—21no—
73C2×C4×Dic11C2×C412yes—
74C2×C4×Dic11D412yes—
75C22×C11⋊C8—21no—
76C22×C11⋊C8—21no—
77C22×C11⋊C8—21no—
78C22×C11⋊C8—21no—
79C22×C11⋊C8—21no—
80C22×C11⋊C8—21no—
81C22×C11⋊C8Q812yes—
82C11⋊#95—24no—
83C11⋊#95—24no—
84C11⋊#95—24no—
85#11208—111nomaximal, Sylow
86C24×C11C2×D411yescharacteristic
87C22×C4×C11—22no—
88C22×C4×C11—22no—
89C22×C4×C11—22no—
90C22×C4×C11—22no—
91C22×C4×C11—41no—
92C22×C4×C11—41no—
93C22×C4×C11—41no—
94C22×C4×C11—41no—
95C22×C4×C11—41no—
96C22×C4×C11—41no—
97C22×C4×C11—41no—
98C22×C4×C11—41no—
99C22×C4×C11—41no—
100C22×C4×C11—41no—
101C22×C4×C11C22×C411yescharacteristic
102C22×C4×C11C2×D411yescharacteristic
103C22×C4×C11C2×D411yescharacteristic
104C22×C4×C11C2×D411yescharacteristic
105C22×C4×C11C2×D411yescharacteristic
106C22×C4×C11C2×Q811yescharacteristic
107C22×C4×C11C2×Q811yescharacteristic
108C22×C4×C11C2×Q811yescharacteristic
109C22×C4×C11#4111yescharacteristic
110C22×C4×C11#4111yescharacteristic
111C22×C4×C11#4111yescharacteristic
112C22×C4×C11#4111yescharacteristic
113C22×C4×C11#4111yescharacteristic
114C22×C4×C11#4111yescharacteristic
115C22×Dic11—22no—
116C22×Dic11—21no—
117C22×Dic11—21no—
118C22×Dic11—22no—
119C22×Dic11—21no—
120C22×Dic11—21no—
121C22×Dic11—21no—
122C22×Dic11—21no—
123C22×Dic11—21no—
124C22×Dic11—21no—
125C22×Dic11—21no—
126C22×Dic11—21no—
127C22×Dic11—21no—
128C22×Dic11—21no—
129C22×Dic11—41no—
130C22×Dic11—41no—
131C22×Dic11—41no—
132C22×Dic11—41no—
133C22×Dic11—41no—
134C22×Dic11—41no—
135C22×Dic11—41no—
136C22×Dic11—41no—
137C22×Dic11—41no—
138C22×Dic11—41no—
139C22×Dic11—41no—
140C22×Dic11—41no—
141C22×Dic11C22⋊C412yes—
142C22×Dic11C22⋊C412yes—
143C2×C8×C11—22no—
144C2×C8×C11—22no—
145C2×C8×C11—22no—
146C2×C8×C11—41no—
147C2×C8×C11—41no—
148C2×C8×C11—41no—
149C2×C8×C11—41no—
150C11×C4⋊C4—22no—
151C11×C4⋊C4—22no—
152C11×C4⋊C4—22no—
153C11×C4⋊C4—22no—
154C11×C4⋊C4—22no—
155C11×C4⋊C4—41no—
156C11×C4⋊C4—41no—
157C11×C4⋊C4C4⋊C414yes—
158C4⋊Dic11—22no—
159C4⋊Dic11—22no—
160C4⋊Dic11—22no—
161C4⋊Dic11—22no—
162C4⋊Dic11—48no—
163C4⋊Dic11—41no—
164C4⋊Dic11—41no—
165C4⋊Dic11—41no—
166C4⋊Dic11—41no—
167C4×Dic11—22no—
168C4×Dic11—22no—
169C4×Dic11—22no—
170C4×Dic11—22no—
171C2×C11⋊C8—22no—
172C2×C11⋊C8—22no—
173C2×C11⋊C8—22no—
174C2×C11⋊C8—41no—
175C2×C11⋊C8—41no—
176C2×C11⋊C8—41no—
177C2×C11⋊C8—41no—
178C2×#389—111no—
179C2×#382—111no—
180C2×#340—111no—
181C2×#340—111no—
182C2×#340—111no—
183C2×#340D1111yescharacteristic
184C2×#336—111no—
185C23×C11C2×C22⋊C411yescharacteristic
186C23×C11#12011yescharacteristic
187C23×C11#12111yescharacteristic
188C23×C11C22⋊Q811yescharacteristic
189C23×C11#12311yescharacteristic
190C23×C11#12411yescharacteristic
191C23×C11C4⋊Q811yescharacteristic
192C23×C11#13511yescharacteristic
193C23×C11#13511yescharacteristic
194C23×C11#13511yescharacteristic
195C23×C11#13511yescharacteristic
196C23×C11AGL(1,ℤ/8)11yescharacteristic
197C23×C11AGL(1,ℤ/8)11yescharacteristic
198C23×C11#13711yescharacteristic
199C23×C11#13711yescharacteristic
200C2×C4×C11—24no—
201C2×C4×C11—42no—
202C2×C4×C11—42no—
203C2×C4×C11—42no—
204C2×C4×C11—42no—
205C2×C4×C11—42no—
206C2×C4×C11—42no—
207C2×C4×C11—42no—
208C2×C4×C11—42no—
209C2×C4×C11—42no—
210C2×C4×C11—81no—
211C2×C4×C11—81no—
212C2×C4×C11—81no—
213C2×C4×C11—81no—
214C2×C4×C11C2×C4⋊C411yescharacteristic
215C2×C4×C11#11711yescharacteristic
216C2×C4×C11C4×D411yescharacteristic
217C2×C4×C11C4×D411yescharacteristic
218C2×C4×C11C4×Q811yescharacteristic
219C2×C4×C11C4×Q811yescharacteristic
220C2×C4×C11#12111yescharacteristic
221C2×C4×C11#12111yescharacteristic
222C2×C4×C11#12111yescharacteristic
223C2×C4×C11#12111yescharacteristic
224C2×C4×C11#12111yescharacteristic
225C2×C4×C11C22⋊Q811yescharacteristic
226C2×C4×C11C22⋊Q811yescharacteristic
227C2×C4×C11C22⋊Q811yescharacteristic
228C2×C4×C11C22⋊Q811yescharacteristic
229C2×C4×C11C22⋊Q811yescharacteristic
230C2×C4×C11C22⋊Q811yescharacteristic
231C2×C4×C11C22⋊Q811yescharacteristic
232C2×C4×C11#12311yescharacteristic
233C2×C4×C11#12311yescharacteristic
234C2×C4×C11#12511yescharacteristic
235C2×C4×C11#12511yescharacteristic
236C2×C4×C11#12511yescharacteristic
237C2×C4×C11#12511yescharacteristic
238C2×C4×C11#12611yescharacteristic
239C2×C4×C11#12611yescharacteristic
240C2×C4×C11C4⋊Q811yescharacteristic
241C2×C4×C11C4⋊Q811yescharacteristic
242C2×Dic11—22no—
243C2×Dic11—22no—
244C2×Dic11—22no—
245C2×Dic11—22no—
246C2×Dic11—22no—
247C2×Dic11—22no—
248C2×Dic11—41no—
249C2×Dic11—41no—
250C2×Dic11—41no—
251C2×Dic11—41no—
252C2×Dic11—41no—
253C2×Dic11—41no—
254C2×Dic11—41no—
255C2×Dic11—41no—
256C2×Dic11—42no—
257C2×Dic11—42no—
258C2×Dic11—42no—
259C2×Dic11—42no—
260C2×Dic11—42no—
261C2×Dic11—42no—
262C2×Dic11—81no—
263C2×Dic11—81no—
264C2×Dic11—81no—
265C2×Dic11—81no—
266C2×Dic11—81no—
267C2×Dic11—81no—
268C2×Dic11—81no—
269C2×Dic11—81no—
270C8×C11—42no—
271C11⋊C8—42no—
272C23×C8—111no—
273C23×C8C2×D1111yescharacteristic
274C22×C4⋊C4—111no—
275C22×C4⋊C4—111no—
276C22×C4⋊C4—221no—
277C22×C4⋊C4C2×D1111yescharacteristic
278C22×C4⋊C4C2×D1111yescharacteristic
279C22×C42—111no—
280#389—114no—
281#389—222no—
282#382—222no—
283#382—222no—
284C2×#95—221no—
285C2×#95—221no—
286C2×#95—221no—
287#340—22no—
288#340—222no—
289#340—222no—
290#340—222no—
291#336—222no—
292C22×C11#38011yescharacteristic
293C22×C11#38611yescharacteristic
294C22×C11#39111yescharacteristic
295C22×C11#39411yescharacteristic
296C22×C11#39511yescharacteristic
297C22×C11#39811yescharacteristic
298C22×C11#40011yescharacteristic
299C22×C11#41611yescharacteristic
300C22×C11#41611yescharacteristic
301C22×C11#41811yescharacteristic
302C22×C11#41911yescharacteristic
303C22×C11#44911yescharacteristic
304C22×C11#44911yescharacteristic
305C22×C11#45211yescharacteristic
306C22×C11#45211yescharacteristic
307C22×C11#46311yescharacteristic
308C22×C11#46311yescharacteristic
309C22×C11#46411yescharacteristic
310C22×C11#46411yescharacteristic
311C22×C11#47811yescharacteristic
312C22×C11#47811yescharacteristic
313C22×C11#47911yescharacteristic
314C22×C11#47911yescharacteristic
315C22×C11#48211yescharacteristic
316C22×C11#48211yescharacteristic
317C22×C11#48511yescharacteristic
318C22×C11#48511yescharacteristic
319C22×C11#48811yescharacteristic
320C22×C11#48811yescharacteristic
321C22×C11#48911yescharacteristic
322C22×C11#48911yescharacteristic
323C22×C11#49911yescharacteristic
324C22×C11#49911yescharacteristic
325C22×C11#50111yescharacteristic
326C22×C11#50111yescharacteristic
327C4×C11—44no—
328C4×C11—82no—
329C4×C11#38711yescharacteristic
330C4×C11#38711yescharacteristic
331C4×C11#38911yescharacteristic
332C4×C11#38911yescharacteristic
333C4×C11#39611yescharacteristic
334C4×C11#39611yescharacteristic
335C4×C11#39811yescharacteristic
336C4×C11#39811yescharacteristic
337Dic11—42no—
338Dic11—42no—
339Dic11—82no—
340Dic11—82no—
341C23×C4—21no—
342C23×C4—21no—
343C23×C4—111no—
344C23×C4—111no—
345C23×C4—221no—
346C23×C4—221no—
347C23×C4C22×D1111yescharacteristic
348C22×C8—21no—
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—112no—
355C22×C8—221no—
356C22×C8—221no—
357C22×C8—221no—
358C22×C8—221no—
359C22×C8—221no—
360C22×C8—221no—
361C22×C8Dic2212yes—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—112no—
371C2×C4⋊C4—112no—
372C2×C4⋊C4—221no—
373C2×C4⋊C4—221no—
374C2×C4⋊C4—221no—
375C2×C4⋊C4—221no—
376C2×C4⋊C4—221no—
377C2×C4⋊C4—221no—
378C2×C4⋊C4—221no—
379C2×C4⋊C4—221no—
380C2×C4⋊C4—224no—
381C2×C4⋊C4—221no—
382C2×C4⋊C4—221no—
383C2×C4⋊C4—442no—
384C2×C4⋊C4—442no—
385C2×C4⋊C4Dic2212yes—
386C2×C4⋊C4C4×D1112yes—
387C2×C4⋊C4D4412yes—
388C2×C4⋊C4C22⋊D1112yes—
389C2×C42—112no—
390C2×C42—112no—
391C2×C42—221no—
392C2×C42—221no—
393C2×C42—221no—
394C2×C42—221no—
395#95—224no—
396#95—224no—
397#95—224no—
398C2×C11#144111yescharacteristic
399C2×C11#180411yescharacteristic
400C2×C11#180511yescharacteristic
401C2×C11#187311yescharacteristic
402C2×C11#187511yescharacteristic
403C2×C11#199111yescharacteristic
404C2×C11#199311yescharacteristic
405C2×C11#204211yescharacteristic
406C2×C11#204211yescharacteristic
407C2×C11#205911yescharacteristic
408C2×C11#205911yescharacteristic
409C2×C11#208511yescharacteristic
410C2×C11#208511yescharacteristic
411C2×C11#210111yescharacteristic
412C2×C11#210111yescharacteristic
413C24D4×D1111yescharacteristic
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—112no—
429C22×C4—112no—
430C22×C4—221no—
431C22×C4—221no—
432C22×C4—221no—
433C22×C4—221no—
434C22×C4—221no—
435C22×C4—221no—
436C22×C4—221no—
437C22×C4—221no—
438C22×C4—221no—
439C22×C4—221no—
440C22×C4—221no—
441C22×C4—221no—
442C22×C4—222no—
443C22×C4—222no—
444C22×C4—441no—
445C22×C4—441no—
446C22×C4—441no—
447C22×C4—441no—
448C22×C4—441no—
449C22×C4—441no—
450C22×C4—441no—
451C22×C4—441no—
452C22×C4—441no—
453C22×C4—441no—
454C22×C4—441no—
455C22×C4—441no—
456C22×C4C2×Dic2211yescharacteristic
457C22×C4C2×Dic2211yescharacteristic
458C22×C4C2×C4×D1111yescharacteristic
459C22×C4C2×D4411yescharacteristic
460C22×C4#433911yescharacteristic
461C22×C4#433911yescharacteristic
462C22×C4D4×D1111yescharacteristic
463C22×C4D4×D1111yescharacteristic
464C22×C4#434111yescharacteristic
465C22×C4#434111yescharacteristic
466C22×C4#434111yescharacteristic
467C22×C4Q8×D1111yescharacteristic
468C22×C4#434311yescharacteristic
469C22×C4C2×C22⋊D1111yescharacteristic
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—22no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—222no—
478C2×C8—222no—
479C2×C8—222no—
480C2×C8—441no—
481C2×C8—441no—
482C2×C8—441no—
483C2×C8—441no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—41no—
490C4⋊C4—41no—
491C4⋊C4—222no—
492C4⋊C4—222no—
493C4⋊C4—222no—
494C4⋊C4—222no—
495C4⋊C4—448no—
496C4⋊C4—441no—
497C4⋊C4—441no—
498C4⋊C4—441no—
499C4⋊C4—441no—
500C4⋊C4Dic11⋊C414yes—
501C42—222no—
502C42—222no—
503C42—222no—
504C42—222no—
505C11#1120811yescharacteristic, complemented, Sylow
506C23#6693111yescharacteristic
507C23C22⋊C4×D1111yescharacteristic
508C23#6693511yescharacteristic
509C23#6693811yescharacteristic
510C23#6694111yescharacteristic
511C23#6694711yescharacteristic
512C23#6696411yescharacteristic
513C23#6696511yescharacteristic
514C23#6696711yescharacteristic
515C23#6696811yescharacteristic
516C23#6696911yescharacteristic
517C23#6696911yescharacteristic
518C23#6697111yescharacteristic
519C23#6697211yescharacteristic
520C23#6699211yescharacteristic
521C2×C4—24no—
522C2×C4—42no—
523C2×C4—42no—
524C2×C4—42no—
525C2×C4—42no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—81no—
532C2×C4—81no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—222no—
536C2×C4—222no—
537C2×C4—222no—
538C2×C4—222no—
539C2×C4—222no—
540C2×C4—222no—
541C2×C4—441no—
542C2×C4—441no—
543C2×C4—441no—
544C2×C4—441no—
545C2×C4—441no—
546C2×C4—441no—
547C2×C4—441no—
548C2×C4—441no—
549C2×C4—442no—
550C2×C4—442no—
551C2×C4—442no—
552C2×C4—442no—
553C2×C4—442no—
554C2×C4—442no—
555C2×C4—881no—
556C2×C4—881no—
557C2×C4—881no—
558C2×C4—881no—
559C2×C4—881no—
560C2×C4—881no—
561C2×C4—881no—
562C2×C4—881no—
563C2×C4C4×Dic2211yescharacteristic
564C2×C4#6692211yescharacteristic
565C2×C4#6692311yescharacteristic
566C2×C4C4×D4411yescharacteristic
567C2×C4#6693011yescharacteristic
568C2×C4#6693111yescharacteristic
569C2×C4#6693111yescharacteristic
570C2×C4#6693111yescharacteristic
571C2×C4#6693211yescharacteristic
572C2×C4#6693611yescharacteristic
573C2×C4#6693711yescharacteristic
574C2×C4#6693911yescharacteristic
575C2×C4#6694011yescharacteristic
576C2×C4#6694111yescharacteristic
577C2×C4#6694211yescharacteristic
578C2×C4#6694311yescharacteristic
579C2×C4#6694311yescharacteristic
580C2×C4#6694611yescharacteristic
581C2×C4#6694811yescharacteristic
582C2×C4#6694911yescharacteristic
583C2×C4#6695011yescharacteristic
584C2×C4#6695111yescharacteristic
585C2×C4C2×Dic11⋊C411yescharacteristic
586C2×C4#6697711yescharacteristic
587C2×C4#6698311yescharacteristic
588C2×C4#6699111yescharacteristic
589C2×C4#6699211yescharacteristic
590C2×C4#6699911yescharacteristic
591C8—42no—
592C8—442no—
593C22#1062225911yescharacteristic
594C22#1062226911yescharacteristic
595C22#1062227311yescharacteristic
596C22#1062227811yescharacteristic
597C22#1062237611yescharacteristic
598C22#1062237811yescharacteristic
599C22#1062237911yescharacteristic
600C22#1062238111yescharacteristic
601C22#1062238311yescharacteristic
602C22#1062238511yescharacteristic
603C22#1062239411yescharacteristic
604C22#1062239611yescharacteristic
605C22#1062240811yescharacteristic
606C22#1062240911yescharacteristic
607C22#1062241211yescharacteristic
608C22#1062241311yescharacteristic
609C22#1062241511yescharacteristic
610C22#1062241711yescharacteristic
611C22#1062242311yescharacteristic
612C22#1062242411yescharacteristic
613C22#1062246911yescharacteristic
614C22#1062247111yescharacteristic
615C22#1062247911yescharacteristic
616C22#1062248011yescharacteristic
617C22#1062248911yescharacteristic
618C22#1062249111yescharacteristic
619C22#1062249811yescharacteristic
620C22#1062250111yescharacteristic
621C22#1062255511yescharacteristic
622C22#1062257411yescharacteristic
623C22#1062259711yescharacteristic
624C22#1062276611yescharacteristic
625C22#1062277811yescharacteristic
626C22#1062277911yescharacteristic
627C22#1062279811yescharacteristic
628C4—44no—
629C4—82no—
630C4—442no—
631C4—442no—
632C4—882no—
633C4—882no—
634C4#1062226611yescharacteristic
635C4#1062226711yescharacteristic
636C4#1062227011yescharacteristic
637C4#1062227411yescharacteristic
638C4#1062254111yescharacteristic
639C4#1062256111yescharacteristic
640C4#1062258611yescharacteristic
641C4#1062260711yescharacteristic
642C2#1306686811yescharacteristic
643C2#1306862411yescharacteristic
644C2#1306862911yescharacteristic
645C2#1306892711yescharacteristic
646C2#1306893711yescharacteristic
647C2#1306957911yescharacteristic
648C2#1306958711yescharacteristic
649C2#1306985411yescharacteristic
650C2#1306985611yescharacteristic
651C2#1306995311yescharacteristic
652C2#1306995711yescharacteristic
653C2#1307010011yescharacteristic
654C2#1307010111yescharacteristic
655C2#1307018711yescharacteristic
656C2#1307018911yescharacteristic
subgroupG/H
centerC24D4×D11
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC2×C11×#340C2
socle, prime radicalC24×C11C2×D4
cosocleC23×C4×C11C23
hypercenterC2×#340D11
hypocenterC11#11208
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
20. #10622598C4semidirect
505. C11#11208semidirect

Maximal subgroups

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

subgroupindex
C2×#106225982
C2×#106225902
C2×#106221892
C2×#106221672
C2×#106221882
C2×C11×#3402
#1120811