Finite Group Databasebeta

← C22×#10623198 #15660650

Subgroups — C22×#10623198 #15660650

Order 2816.

8102 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623198C2148yesmaximal, direct product factor
2C22×#66943C211yesmaximal, characteristic, complemented
3C22×#66938C211yesmaximal, characteristic, complemented
4C22×#66938C211yesmaximal, characteristic, complemented
5C22×#66947C211yesmaximal, characteristic, complemented
6C22×#66939C211yesmaximal, characteristic, complemented
7C22×#66936C211yesmaximal, characteristic, complemented
8C22×#66950C211yesmaximal, characteristic, complemented
9C22×#66977C211yesmaximal, characteristic, complemented
10C22×#66949C211yesmaximal, characteristic, complemented
11C22×#66931C211yesmaximal, characteristic, complemented
12C22×#66983C211yesmaximal, characteristic, complemented
13C22×#66937C211yesmaximal, characteristic, complemented
14C22×#66992C211yesmaximal, characteristic, complemented
15C22×#66991C211yesmaximal, characteristic, complemented
16C22×C11×#123C211yesmaximal, characteristic, complemented
17C23×D4×C11C2211yescharacteristic
18C24×C4×C11C2211yescharacteristic
19C23×C22⋊D11C2211yescharacteristic
20C23×C22⋊D11C2211yescharacteristic
21C23×C22⋊D11C2211yescharacteristic
22C23×C22⋊D11C2211yescharacteristic
23C24×Dic11C2211yescharacteristic
24C23×D44C2211yescharacteristic
25C23×C4×D11C2211yescharacteristic
26C23×C4×D11C2211yescharacteristic
27C23×Dic22C2211yescharacteristic
28C23×Dic22C2211yescharacteristic
29C2×C11×#123C22124yescomplemented
30C22×C11×C4⋊C4C2211yescharacteristic
31C22×C11×C4⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C22⋊Dic11C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66992C22124yescomplemented
39C2×#66991C22124yescomplemented
40C2×#66983C22124yescomplemented
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×C4⋊Dic11C2211yescharacteristic
48C22×C4⋊Dic11C2211yescharacteristic
49C22×C4⋊Dic11C2211yescharacteristic
50C22×C4⋊Dic11C2211yescharacteristic
51C2×#66977C22124yescomplemented
52C22×Dic11⋊C4C2211yescharacteristic
53C22×Dic11⋊C4C2211yescharacteristic
54C22×Dic11⋊C4C2211yescharacteristic
55C22×Dic11⋊C4C2211yescharacteristic
56C22×C4×Dic11C2211yescharacteristic
57#10623198C221256yesdirect product factor
58C2×#66950C22124yescomplemented
59C2×#66949C22124yescomplemented
60C2×#66947C22124yescomplemented
61C2×#66943C22124yescomplemented
62C2×#66939C22124yescomplemented
63C2×#66938C22124yescomplemented
64C2×#66938C22124yescomplemented
65C2×#66937C22124yescomplemented
66C2×#66936C22124yescomplemented
67C2×#66931C22124yescomplemented
68C25×C11C2311yescharacteristic
69C25×C11C2311yescharacteristic
70C24×D11C2311yescharacteristic
71C24×D11C2311yescharacteristic
72C22×D4×C11—44no—
73C22×D4×C11C23112yes—
74C23×C4×C11—44no—
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C23112yes—
81C22×C22⋊D11—44no—
82C22×C22⋊D11—44no—
83C22×C22⋊D11—44no—
84C22×C22⋊D11—44no—
85C22×C22⋊D11C23112yes—
86C22×C22⋊D11C23112yes—
87C22×C22⋊D11C23112yes—
88C22×C22⋊D11C23112yes—
89C23×Dic11—44no—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2311yescharacteristic
93C23×Dic11C2311yescharacteristic
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2311yescharacteristic
96C23×Dic11C23112yes—
97C22×D44—44no—
98C22×D44C23112yes—
99C22×C4×D11—44no—
100C22×C4×D11—44no—
101C22×C4×D11C23112yes—
102C22×C4×D11C23112yes—
103C22×Dic22—44no—
104C22×Dic22—44no—
105C22×Dic22C23112yes—
106C22×Dic22C23112yes—
107C11×#123C23164yescomplemented
108C2×C11×C4⋊C4C23112yes—
109C2×C11×C4⋊C4C23112yes—
110C2×C11×C22⋊C4C23112yes—
111C2×C11×C22⋊C4C23112yes—
112C2×C11×C22⋊C4C23112yes—
113C2×C22⋊Dic11C23112yes—
114C2×C22⋊Dic11C23112yes—
115C2×C22⋊Dic11C23112yes—
116#66992C23164yescomplemented
117#66991C23164yescomplemented
118#66983C23164yescomplemented
119C2×(C2×D11)⋊C4C23112yes—
120C2×(C2×D11)⋊C4C23112yes—
121C2×(C2×D11)⋊C4C23112yes—
122C2×(C2×D11)⋊C4C23112yes—
123C2×(C2×D11)⋊C4C23112yes—
124C2×(C2×D11)⋊C4C23112yes—
125C2×C4⋊Dic11C23112yes—
126C2×C4⋊Dic11C23112yes—
127C2×C4⋊Dic11C23112yes—
128C2×C4⋊Dic11C23112yes—
129#66977C23164yescomplemented
130C2×Dic11⋊C4C23112yes—
131C2×Dic11⋊C4C23112yes—
132C2×Dic11⋊C4C23112yes—
133C2×Dic11⋊C4C23112yes—
134C2×C4×Dic11C23112yes—
135#66950C23164yescomplemented
136#66949C23164yescomplemented
137#66947C23164yescomplemented
138#66943C23164yescomplemented
139#66939C23164yescomplemented
140#66938C23164yescomplemented
141#66938C23164yescomplemented
142#66937C23164yescomplemented
143#66936C23164yescomplemented
144#66931C23164yescomplemented
145C22×#562—111nomaximal, Sylow
146C24×C11—24no—
147C24×C11—24no—
148C24×C11—24no—
149C24×C11—24no—
150C24×C11—24no—
151C24×C11—24no—
152C24×C11C2416yes—
153C24×C11C2416yes—
154C24×C11C2411yescharacteristic
155C23×D11—24no—
156C23×D11—24no—
157C23×D11—24no—
158C23×D11—24no—
159C23×D11—24no—
160C23×D11—24no—
161C23×D11C2416yes—
162C23×D11C2416yes—
163C2×D4×C11—424no—
164C2×D4×C11C24116yes—
165C22×C4×C11—24no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
170C22×C4×C11—424no—
171C22×C4×C11C2416yes—
172C22×C4×C11C2416yes—
173C22×C4×C11C2416yes—
174C22×C4×C11C2416yes—
175C22×C4×C11C2416yes—
176C22×C4×C11C24116yes—
177C2×C22⋊D11—424no—
178C2×C22⋊D11—424no—
179C2×C22⋊D11—424no—
180C2×C22⋊D11—424no—
181C2×C22⋊D11C24116yes—
182C2×C22⋊D11C24116yes—
183C2×C22⋊D11C24116yes—
184C2×C22⋊D11C24116yes—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11—24no—
191C22×Dic11—424no—
192C22×Dic11C2416yes—
193C22×Dic11C2416yes—
194C22×Dic11C2416yes—
195C22×Dic11C2416yes—
196C22×Dic11C2416yes—
197C22×Dic11C2416yes—
198C22×Dic11C24116yes—
199C2×D44—424no—
200C2×D44C24116yes—
201C2×C4×D11—424no—
202C2×C4×D11—424no—
203C2×C4×D11C24116yes—
204C2×C4×D11C24116yes—
205C2×Dic22—424no—
206C2×Dic22—424no—
207C2×Dic22C24116yes—
208C2×Dic22C24116yes—
209C11×C4⋊C4C24116yes—
210C11×C4⋊C4C24116yes—
211C11×C22⋊C4C24116yes—
212C11×C22⋊C4C24116yes—
213C11×C22⋊C4C24116yes—
214C22⋊Dic11C24116yes—
215C22⋊Dic11C24116yes—
216C22⋊Dic11C24116yes—
217(C2×D11)⋊C4C24116yes—
218(C2×D11)⋊C4C24116yes—
219(C2×D11)⋊C4C24116yes—
220(C2×D11)⋊C4C24116yes—
221(C2×D11)⋊C4C24116yes—
222(C2×D11)⋊C4C24116yes—
223C4⋊Dic11C24116yes—
224C4⋊Dic11C24116yes—
225C4⋊Dic11C24116yes—
226C4⋊Dic11C24116yes—
227Dic11⋊C4C24116yes—
228Dic11⋊C4C24116yes—
229Dic11⋊C4C24116yes—
230Dic11⋊C4C24116yes—
231C4×Dic11C24116yes—
232C2×#562—1148no—
233C22×#125—111no—
234C22×#124—111no—
235C22×#124—111no—
236C22×#123—111no—
237C22×#123—111no—
238C22×#123—111no—
239C22×#123D1111yescharacteristic, complemented
240C22×C22⋊Q8—111no—
241C22×C22⋊Q8—111no—
242C22×C22⋊Q8—111no—
243C22×C22⋊Q8—111no—
244C22×#121—111no—
245C22×#121—111no—
246C22×#121—111no—
247C22×#121—111no—
248C23×C11—212no—
249C23×C11—212no—
250C23×C11—212no—
251C23×C11—212no—
252C23×C11—212no—
253C23×C11—212no—
254C23×C11—416no—
255C23×C11—416no—
256C23×C11H(5,𝔽2)14yes—
257C23×C11H(5,𝔽2)14yes—
258C23×C112−1+414yes—
259C23×C11C2514yes—
260C23×C11C2514yes—
261C23×C11C2513yes—
262C22×D11—212no—
263C22×D11—212no—
264C22×D11—212no—
265C22×D11—212no—
266C22×D11—212no—
267C22×D11—212no—
268C22×D11—416no—
269C22×D11—416no—
270C22×D11C2514yes—
271C22×D11C2514yes—
272D4×C11—416no—
273C2×C4×C11—212no—
274C2×C4×C11—212no—
275C2×C4×C11—212no—
276C2×C4×C11—212no—
277C2×C4×C11—212no—
278C2×C4×C11—416no—
279C2×C4×C11C2514yes—
280C2×C4×C11C2514yes—
281C2×C4×C11C2514yes—
282C2×C4×C11C2514yes—
283C2×C4×C11C2514yes—
284C22⋊D11—416no—
285C22⋊D11—416no—
286C22⋊D11—416no—
287C22⋊D11—416no—
288C2×Dic11—212no—
289C2×Dic11—212no—
290C2×Dic11—212no—
291C2×Dic11—212no—
292C2×Dic11—212no—
293C2×Dic11—212no—
294C2×Dic11—416no—
295C2×Dic11C2514yes—
296C2×Dic11C2514yes—
297C2×Dic11C2514yes—
298C2×Dic11C2514yes—
299C2×Dic11C2514yes—
300C2×Dic11C2514yes—
301D44—416no—
302C4×D11—416no—
303C4×D11—416no—
304Dic22—416no—
305Dic22—416no—
306C23×Q8—111no—
307C23×Q8—111no—
308C23×D4—111no—
309C23×D4—111no—
310C23×D4—111no—
311C23×D4—111no—
312C23×D4—111no—
313C23×D4C2×D1111yescharacteristic
314C24×C4—111no—
315C24×C4—111no—
316C24×C4—111no—
317C24×C4C2×D1111yescharacteristic
318#562—11256no—
319C2×#125—1124no—
320C2×#124—1124no—
321C2×#124—1124no—
322C2×#123—1124no—
323C2×#123—1124no—
324C2×#123—1124no—
325C2×#123C2×D11124yescomplemented
326C2×C22⋊Q8—1124no—
327C2×C22⋊Q8—1124no—
328C2×C22⋊Q8—1124no—
329C2×C22⋊Q8—1124no—
330C2×#121—1124no—
331C2×#121—1124no—
332C2×#121—1124no—
333C2×#121—1124no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—111no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4—111no—
339C22×C4⋊C4—111no—
340C22×C4⋊C4—111no—
341C22×C4⋊C4—111no—
342C22×C4⋊C4C2×D1111yescharacteristic
343C22×C4⋊C4C2×D1111yescharacteristic
344C22×C22⋊C4—111no—
345C22×C22⋊C4—111no—
346C22×C22⋊C4—111no—
347C22×C22⋊C4—111no—
348C22×C22⋊C4—111no—
349C22×C22⋊C4—111no—
350C22×C22⋊C4—111no—
351C22×C22⋊C4—111no—
352C22×C22⋊C4—111no—
353C22×C22⋊C4C2×D1111yescharacteristic
354C22×C22⋊C4C2×D1111yescharacteristic
355C22×C22⋊C4C2×D1111yescharacteristic
356C22×C42—111no—
357C22×C11—24no—
358C22×C11—24no—
359C22×C11—24no—
360C22×C11—24no—
361C22×C11—24no—
362C22×C11—24no—
363C22×C11—424no—
364C22×C11—424no—
365C22×C11#562116yescomplemented
366C22×C11C2×H(5,𝔽2)16yes—
367C22×C11C2×H(5,𝔽2)16yes—
368C22×C11C2×2−1+416yes—
369C22×C11C2611yescharacteristic
370C2×D11—24no—
371C2×D11—24no—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—24no—
375C2×D11—24no—
376C2×D11—424no—
377C2×D11—424no—
378C4×C11—24no—
379C4×C11—24no—
380C4×C11—24no—
381C4×C11—24no—
382C4×C11—24no—
383Dic11—24no—
384Dic11—24no—
385Dic11—24no—
386Dic11—24no—
387Dic11—24no—
388Dic11—24no—
389C25—111no—
390C25—111no—
391C25C22×D1111yescharacteristic
392C25C22×D1111yescharacteristic
393C22×Q8—1112no—
394C22×Q8—1112no—
395C22×Q8—444no—
396C22×Q8—444no—
397C22×D4—44no—
398C22×D4—1112no—
399C22×D4—1112no—
400C22×D4—1112no—
401C22×D4—1112no—
402C22×D4—1112no—
403C22×D4—444no—
404C22×D4—444no—
405C22×D4—444no—
406C22×D4—444no—
407C22×D4—444no—
408C22×D4C22×D11112yes—
409C23×C4—44no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4—111no—
415C23×C4—111no—
416C23×C4—1112no—
417C23×C4—1112no—
418C23×C4—1112no—
419C23×C4—444no—
420C23×C4—444no—
421C23×C4—444no—
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D11112yes—
428#125—1164no—
429#124—1164no—
430#124—1164no—
431#123—1164no—
432#123—1164no—
433#123—1164no—
434#123C22×D11164yescomplemented
435C22⋊Q8—1164no—
436C22⋊Q8—1164no—
437C22⋊Q8—1164no—
438C22⋊Q8—1164no—
439#121—1164no—
440#121—1164no—
441#121—1164no—
442#121—1164no—
443C2×C4⋊C4—1112no—
444C2×C4⋊C4—1112no—
445C2×C4⋊C4—1112no—
446C2×C4⋊C4—1112no—
447C2×C4⋊C4—1112no—
448C2×C4⋊C4—1112no—
449C2×C4⋊C4—1112no—
450C2×C4⋊C4—1112no—
451C2×C4⋊C4C22×D11112yes—
452C2×C4⋊C4C22×D11112yes—
453C2×C22⋊C4—1112no—
454C2×C22⋊C4—1112no—
455C2×C22⋊C4—1112no—
456C2×C22⋊C4—1112no—
457C2×C22⋊C4—1112no—
458C2×C22⋊C4—1112no—
459C2×C22⋊C4—1112no—
460C2×C22⋊C4—1112no—
461C2×C22⋊C4—1112no—
462C2×C22⋊C4C22×D11112yes—
463C2×C22⋊C4C22×D11112yes—
464C2×C22⋊C4C22×D11112yes—
465C2×C42—1112no—
466C2×C11—44no—
467C2×C11—44no—
468C2×C11C2×#562112yescomplemented
469C2×C11C22×H(5,𝔽2)11yescharacteristic
470C2×C11C22×H(5,𝔽2)11yescharacteristic
471C2×C11C22×2−1+411yescharacteristic
472D11—44no—
473D11—44no—
474C24—24no—
475C24—24no—
476C24—24no—
477C24—24no—
478C24—24no—
479C24—24no—
480C24—116no—
481C24—116no—
482C24—224no—
483C24—224no—
484C24—224no—
485C24—224no—
486C24—224no—
487C24—224no—
488C24C23×D1116yes—
489C24C23×D1116yes—
490C24C23×D1111yescharacteristic
491C2×Q8—1116no—
492C2×Q8—1116no—
493C2×Q8—4424no—
494C2×Q8—4424no—
495C2×D4—424no—
496C2×D4—1116no—
497C2×D4—1116no—
498C2×D4—1116no—
499C2×D4—1116no—
500C2×D4—1116no—
501C2×D4—4424no—
502C2×D4—4424no—
503C2×D4—4424no—
504C2×D4—4424no—
505C2×D4—4424no—
506C2×D4C23×D11116yes—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—424no—
513C22×C4—116no—
514C22×C4—116no—
515C22×C4—116no—
516C22×C4—116no—
517C22×C4—116no—
518C22×C4—116no—
519C22×C4—1116no—
520C22×C4—1116no—
521C22×C4—1116no—
522C22×C4—224no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—4424no—
529C22×C4—4424no—
530C22×C4—4424no—
531C22×C4C23×D1116yes—
532C22×C4C23×D1116yes—
533C22×C4C23×D1116yes—
534C22×C4C23×D1116yes—
535C22×C4C23×D1116yes—
536C22×C4C23×D11116yes—
537C4⋊C4—1116no—
538C4⋊C4—1116no—
539C4⋊C4—1116no—
540C4⋊C4—1116no—
541C4⋊C4—1116no—
542C4⋊C4—1116no—
543C4⋊C4—1116no—
544C4⋊C4—1116no—
545C4⋊C4C23×D11116yes—
546C4⋊C4C23×D11116yes—
547C22⋊C4—1116no—
548C22⋊C4—1116no—
549C22⋊C4—1116no—
550C22⋊C4—1116no—
551C22⋊C4—1116no—
552C22⋊C4—1116no—
553C22⋊C4—1116no—
554C22⋊C4—1116no—
555C22⋊C4—1116no—
556C22⋊C4C23×D11116yes—
557C22⋊C4C23×D11116yes—
558C22⋊C4C23×D11116yes—
559C42—1116no—
560C11C22×#56211yescharacteristic, complemented, Sylow
561C23—212no—
562C23—212no—
563C23—212no—
564C23—212no—
565C23—212no—
566C23—212no—
567C23—416no—
568C23—416no—
569C23—114no—
570C23—114no—
571C23—2212no—
572C23—2212no—
573C23—2212no—
574C23—2212no—
575C23—2212no—
576C23—2212no—
577C23—4416no—
578C23—4416no—
579C23#6703714yes—
580C23#6704214yes—
581C23#6704314yes—
582C23C24×D1114yes—
583C23C24×D1114yes—
584C23C24×D1113yes—
585Q8—4416no—
586Q8—4416no—
587D4—416no—
588D4—4416no—
589D4—4416no—
590D4—4416no—
591D4—4416no—
592D4—4416no—
593C2×C4—212no—
594C2×C4—212no—
595C2×C4—212no—
596C2×C4—212no—
597C2×C4—212no—
598C2×C4—416no—
599C2×C4—114no—
600C2×C4—114no—
601C2×C4—114no—
602C2×C4—114no—
603C2×C4—114no—
604C2×C4—114no—
605C2×C4—2212no—
606C2×C4—2212no—
607C2×C4—2212no—
608C2×C4—2212no—
609C2×C4—2212no—
610C2×C4—2212no—
611C2×C4—4416no—
612C2×C4—4416no—
613C2×C4—4416no—
614C2×C4C24×D1114yes—
615C2×C4C24×D1114yes—
616C2×C4C24×D1114yes—
617C2×C4C24×D1114yes—
618C2×C4C24×D1114yes—
619C22—24no—
620C22—24no—
621C22—24no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—424no—
626C22—424no—
627C22—224no—
628C22—224no—
629C22—224no—
630C22—224no—
631C22—224no—
632C22—224no—
633C22—4424no—
634C22—4424no—
635C22#10623198116yesdirect product factor
636C22C2×#6703716yes—
637C22C2×#6704216yes—
638C22C2×#6704316yes—
639C22C25×D1111yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—24no—
645C4—224no—
646C4—224no—
647C4—224no—
648C4—224no—
649C4—224no—
650C4—224no—
651C2—44no—
652C2—44no—
653C2—444no—
654C2—444no—
655C2C2×#10623198112yesdirect product factor
656C2C22×#6703711yescharacteristic
657C2C22×#6704211yescharacteristic
658C2C22×#6704311yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#123C2
socleC24×C11C24
hypercenterC22×#123D11
hypocenterC11C22×#562
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. C2×#10623198C2direct (N × H)
2. C22×#66943C2semidirect
3. C22×#66938C2semidirect
4. C22×#66938C2semidirect
5. C22×#66947C2semidirect
6. C22×#66939C2semidirect
7. C22×#66936C2semidirect
8. C22×#66950C2semidirect
9. C22×#66977C2semidirect
10. C22×#66949C2semidirect
11. C22×#66931C2semidirect
12. C22×#66983C2semidirect
13. C22×#66937C2semidirect
14. C22×#66992C2semidirect
15. C22×#66991C2semidirect
16. C22×C11×#123C2semidirect
29. C2×C11×#123C22semidirect
38. C2×#66992C22semidirect
39. C2×#66991C22semidirect
40. C2×#66983C22semidirect
51. C2×#66977C22semidirect
57. #10623198C22direct (N × H)
58. C2×#66950C22semidirect
59. C2×#66949C22semidirect
60. C2×#66947C22semidirect
61. C2×#66943C22semidirect
62. C2×#66939C22semidirect
63. C2×#66938C22semidirect
64. C2×#66938C22semidirect
65. C2×#66937C22semidirect
66. C2×#66936C22semidirect
67. C2×#66931C22semidirect
107. C11×#123C23semidirect
116. #66992C23semidirect
117. #66991C23semidirect
118. #66983C23semidirect
129. #66977C23semidirect
135. #66950C23semidirect
136. #66949C23semidirect
137. #66947C23semidirect
138. #66943C23semidirect
139. #66939C23semidirect
140. #66938C23semidirect
141. #66938C23semidirect
142. #66937C23semidirect
143. #66936C23semidirect
144. #66931C23semidirect
239. C22×#123D11semidirect
325. C2×#123C2×D11semidirect
365. C22×C11#562semidirect
434. #123C22×D11semidirect
468. C2×C11C2×#562semidirect
560. C11C22×#562semidirect
635. C22#10623198direct (N × H)
655. C2C2×#10623198direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231982
C22×#669432
C22×#669382
C22×#669472
C22×#669392
C22×#669362
C22×#669502
C22×#669772
C22×#669492
C22×#669312
C22×#669832
C22×#669372
C22×#669922
C22×#669912
C22×C11×#1232
C22×#56211