Finite Group Databasebeta

← C2×#13070262 #14906500

Subgroups — C2×#13070262 #14906500

Order 2816.

1494 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66897C211yesmaximal, characteristic, complemented
2C22×#66898C211yesmaximal, characteristic, complemented
3#13070262C218yesmaximal, direct product factor
4C2×#10622177C212yesmaximal, complemented
5C2×#10622174C212yesmaximal, complemented
6C2×C11×#534C211yesmaximal, characteristic
7C23×D4×C11C411yescharacteristic, complemented
8C23×D4×C11C2211yescharacteristic
9C11×#534—22no—
10C11×#534—22no—
11C11×#534C414yescomplemented
12C11×#534C2214yes—
13C2×C11×#123—21no—
14C2×C11×#123C411yescharacteristic, complemented
15C2×C11×#123C2211yescharacteristic
16C2×C11×#121—21no—
17C2×C11×#121—21no—
18C2×C11×#120—21no—
19C2×C11×#120C411yescharacteristic, complemented
20C2×C11×#120C2211yescharacteristic
21C22×C11×C22⋊C4C411yescharacteristic, complemented
22C22×C22⋊Dic11—21no—
23C22×#4318—21no—
24C2×#66898—22no—
25C2×#66898—21no—
26C2×#66898C2212yes—
27C2×#66898C2214yescomplemented
28C2×#66897—22no—
29C2×#66897—21no—
30C2×#66897C2212yes—
31C2×#66897C2214yescomplemented
32#10622177C2218yescomplemented
33#10622174C2218yescomplemented
34C25×C11C2×C411yescharacteristic
35C25×C11C2×C411yescharacteristic, complemented
36C25×C11D411yescharacteristic
37C22×D4×C11—21no—
38C22×D4×C11—21no—
39C22×D4×C11—22no—
40C22×D4×C11—21no—
41C22×D4×C11—21no—
42C22×D4×C11—41no—
43C22×D4×C11—41no—
44C22×D4×C11—42no—
45C22×D4×C11—41no—
46C22×D4×C11—41no—
47C22×D4×C11—42no—
48C22×D4×C11C2×C411yescharacteristic
49C22×D4×C11C2×C412yes—
50C22×D4×C11C2×C414yescomplemented
51C22×D4×C11D411yescharacteristic
52C22×D4×C11D412yes—
53C22×D4×C11D411yescharacteristic
54C22×D4×C11D412yes—
55C22×D4×C11C2311yescharacteristic
56C22×D4×C11C2312yes—
57C23×C4×C11—21no—
58C23×C4×C11C2×C411yescharacteristic, complemented
59C23×C4×C11D411yescharacteristic
60C23×Dic11—41no—
61C11×#123—22no—
62C11×#123—21no—
63C11×#123—21no—
64C11×#123—24no—
65C11×#123—24no—
66C11×#123C2×C414yescomplemented
67C11×#123C2×C412yescomplemented
68C11×#123C2312yes—
69C11×#121—24no—
70C11×#121—24no—
71C11×#121—24no—
72C11×#121—24no—
73C11×#120—24no—
74C11×#120—24no—
75C11×#120—22no—
76C11×#120—21no—
77C11×#120—21no—
78C11×#120C2×C414yescomplemented
79C11×#120C2×C412yescomplemented
80C11×#120C2312yes—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—22no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4C2×C411yescharacteristic, complemented
90C2×C11×C22⋊C4C2×C411yescharacteristic, complemented
91C2×C11×C22⋊C4C2×C414yescomplemented
92C2×C22⋊Dic11—22no—
93C2×C22⋊Dic11—24no—
94C2×C22⋊Dic11—42no—
95C2×C22⋊Dic11—41no—
96C2×#4318—22no—
97C2×#4318—24no—
98C2×#4318—41no—
99C2×#4318—42no—
100C22×C11⋊C8—41no—
101#66898—22no—
102#66898—24no—
103#66898C2314yes—
104#66897—22no—
105#66897—24no—
106#66897C2314yes—
107C2×#2121—111nomaximal, Sylow
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—22no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—22no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—41no—
117C24×C11—41no—
118C24×C11—82no—
119C24×C11—82no—
120C24×C11—82no—
121C24×C11C22⋊C411yescharacteristic
122C24×C11C22⋊C411yescharacteristic
123C24×C11C22⋊C412yes—
124C24×C11C22⋊C412yes—
125C24×C11C22⋊C411yescharacteristic
126C24×C11C22×C411yescharacteristic
127C24×C11C22×C412yes—
128C24×C11C22×C412yescomplemented
129C24×C11C2×D411yescharacteristic
130C24×C11C2×D412yes—
131C2×D4×C11—24no—
132C2×D4×C11—24no—
133C2×D4×C11—22no—
134C2×D4×C11—24no—
135C2×D4×C11—22no—
136C2×D4×C11—41no—
137C2×D4×C11—41no—
138C2×D4×C11—42no—
139C2×D4×C11—42no—
140C2×D4×C11—41no—
141C2×D4×C11—42no—
142C2×D4×C11—41no—
143C2×D4×C11—42no—
144C2×D4×C11—41no—
145C2×D4×C11—42no—
146C2×D4×C11—41no—
147C2×D4×C11—42no—
148C2×D4×C11—41no—
149C2×D4×C11—42no—
150C2×D4×C11—42no—
151C2×D4×C11—41no—
152C2×D4×C11—44no—
153C2×D4×C11—44no—
154C2×D4×C11—42no—
155C2×D4×C11—42no—
156C2×D4×C11—41no—
157C2×D4×C11—41no—
158C2×D4×C11—42no—
159C2×D4×C11—44no—
160C2×D4×C11—44no—
161C2×D4×C11—82no—
162C2×D4×C11—82no—
163C2×D4×C11C22⋊C412yes—
164C2×D4×C11C22⋊C412yes—
165C2×D4×C11C22⋊C412yes—
166C2×D4×C11C22×C412yes—
167C2×D4×C11C22×C411yescharacteristic
168C2×D4×C11C2×D411yescharacteristic
169C2×D4×C11C2×D412yes—
170C2×D4×C11C2×D411yescharacteristic
171C2×D4×C11C2×D412yes—
172C2×D4×C11C2411yescharacteristic
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—22no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—24no—
181C22×C4×C11—41no—
182C22×C4×C11—41no—
183C22×C4×C11—82no—
184C22×C4×C11C22⋊C411yescharacteristic
185C22×C4×C11C22⋊C412yes—
186C22×C4×C11C22×C412yescomplemented
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×Dic11—42no—
190C22×Dic11—44no—
191C22×Dic11—84no—
192C11×C4⋊C4—24no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—22no—
195C11×C22⋊C4—21no—
196C11×C22⋊C4—21no—
197C11×C22⋊C4—24no—
198C11×C22⋊C4—24no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—24no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4C22×C412yescomplemented
205C11×C22⋊C4C22×C412yescomplemented
206C22⋊Dic11—24no—
207C22⋊Dic11—42no—
208C22⋊Dic11—44no—
209#4318—24no—
210#4318—42no—
211#4318—44no—
212C2×C11⋊C8—42no—
213C2×C11⋊C8—44no—
214C2×#534D1111yescharacteristic
215C22×#100—111no—
216C22×#99—111no—
217#2121—118no—
218C2×#352—112no—
219C2×AΣL(1,𝔽16)—112no—
220C23×C11—22no—
221C23×C11—21no—
222C23×C11—21no—
223C23×C11—21no—
224C23×C11—21no—
225C23×C11—21no—
226C23×C11—22no—
227C23×C11—21no—
228C23×C11—21no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—21no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—44no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—82no—
250C23×C11—82no—
251C23×C11—82no—
252C23×C11—82no—
253C23×C11—82no—
254C23×C11—82no—
255C23×C11—82no—
256C23×C11—82no—
257C23×C11—84no—
258C23×C11—84no—
259C23×C11—82no—
260C23×C11—84no—
261C23×C11—84no—
262C23×C11#9911yescharacteristic
263C23×C11#9911yescharacteristic
264C23×C11#9912yes—
265C23×C11C2×C22⋊C411yescharacteristic
266C23×C11C2×C22⋊C411yescharacteristic
267C23×C11C2×C22⋊C412yes—
268C23×C11C2×C22⋊C411yescharacteristic
269C23×C11C2×C22⋊C412yes—
270C23×C11C2×C22⋊C412yes—
271C23×C11C23×C411yescharacteristic
272C23×C11C22×D411yescharacteristic
273D4×C11—42no—
274D4×C11—42no—
275D4×C11—42no—
276D4×C11—42no—
277D4×C11—41no—
278D4×C11—41no—
279D4×C11—42no—
280D4×C11—41no—
281D4×C11—42no—
282D4×C11—41no—
283D4×C11—48no—
284D4×C11—44no—
285D4×C11—44no—
286D4×C11—84no—
287D4×C11—82no—
288D4×C11—82no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—21no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—42no—
306C2×C4×C11—84no—
307C2×C4×C11C2×C22⋊C412yes—
308C2×C4×C11C2×C22⋊C411yescharacteristic
309C2×C4×C11C22×D411yescharacteristic
310C2×Dic11—44no—
311C2×Dic11—88no—
312C2×Dic11—84no—
313C11⋊C8—44no—
314C23×D4Dic1111yescharacteristic, complemented
315C23×D4C2×D1111yescharacteristic
316C22×M16—221no—
317#534—22no—
318#534—22no—
319#534Dic1114yescomplemented
320#534C2×D1114yes—
321C2×#123—21no—
322C2×#123Dic1111yescharacteristic, complemented
323C2×#123C2×D1111yescharacteristic
324C2×#121—21no—
325C2×#121—21no—
326C2×#120—21no—
327C2×#120Dic1111yescharacteristic, complemented
328C2×#120C2×D1111yescharacteristic
329C22×C22⋊C4—221no—
330C22×C22⋊C4Dic1111yescharacteristic, complemented
331C2×#100—112no—
332C2×#100—114no—
333C2×#100—221no—
334C2×#100—222no—
335C2×#99—112no—
336C2×#99—114no—
337C2×#99—221no—
338C2×#99—222no—
339#352—118no—
340AΣL(1,𝔽16)—118no—
341C22×C11—22no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—21no—
345C22×C11—21no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—42no—
359C22×C11—44no—
360C22×C11—42no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—81no—
370C22×C11—81no—
371C22×C11—82no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11—82no—
375C22×C11—82no—
376C22×C11—82no—
377C22×C11—82no—
378C22×C11—84no—
379C22×C11—84no—
380C22×C11—82no—
381C22×C11C2×#9911yescharacteristic
382C22×C11C2×#9912yes—
383C22×C11C2×#9912yes—
384C22×C11C2×#9911yescharacteristic
385C22×C11C22×C22⋊C411yescharacteristic
386C4×C11—22no—
387C4×C11—21no—
388C4×C11—21no—
389C4×C11—42no—
390C4×C11—42no—
391C4×C11—42no—
392Dic11—84no—
393C25C2×Dic1111yescharacteristic
394C25C2×Dic1111yescharacteristic, complemented
395C25C22⋊D1111yescharacteristic
396C22×D4—21no—
397C22×D4—22no—
398C22×D4—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—42no—
404C22×D4—42no—
405C22×D4—41no—
406C22×D4—41no—
407C22×D4C2×Dic1111yescharacteristic
408C22×D4C2×Dic1112yes—
409C22×D4C2×Dic1114yescomplemented
410C22×D4C22⋊D1111yescharacteristic
411C22×D4C22⋊D1112yes—
412C22×D4C22⋊D1111yescharacteristic
413C22×D4C22⋊D1112yes—
414C22×D4C22×D1111yescharacteristic
415C22×D4C22×D1112yes—
416C23×C4—21no—
417C23×C4—441no—
418C23×C4C2×Dic1111yescharacteristic, complemented
419C23×C4C22⋊D1111yescharacteristic
420C2×M16—222no—
421C2×M16—224no—
422C2×M16—442no—
423C2×M16—441no—
424C22×C8—441no—
425#123—22no—
426#123—21no—
427#123—21no—
428#123—24no—
429#123—24no—
430#123C2×Dic1114yescomplemented
431#123C2×Dic1112yescomplemented
432#123C22×D1112yes—
433#121—24no—
434#121—24no—
435#121—24no—
436#121—24no—
437#120—24no—
438#120—24no—
439#120—22no—
440#120—21no—
441#120—21no—
442#120C2×Dic1114yescomplemented
443#120C2×Dic1112yescomplemented
444#120C22×D1112yes—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—222no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—442no—
456C2×C22⋊C4—441no—
457C2×C22⋊C4C2×Dic1111yescharacteristic, complemented
458C2×C22⋊C4C2×Dic1111yescharacteristic, complemented
459C2×C22⋊C4C2×Dic1114yescomplemented
460#100—114no—
461#100—222no—
462#100—224no—
463#99—114no—
464#99—222no—
465#99—224no—
466C2×C11—21no—
467C2×C11—21no—
468C2×C11—22no—
469C2×C11—22no—
470C2×C11—41no—
471C2×C11—41no—
472C2×C11—42no—
473C2×C11—42no—
474C2×C11—41no—
475C2×C11—41no—
476C2×C11—82no—
477C2×C11#212112yescomplemented
478C2×C11C22×#9911yescharacteristic
479C24—21no—
480C24—22no—
481C24—21no—
482C24—22no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—41no—
488C24—41no—
489C24—82no—
490C24—82no—
491C24—82no—
492C24C22⋊Dic1111yescharacteristic
493C24C22⋊Dic1111yescharacteristic
494C24C22⋊Dic1112yes—
495C24C22⋊Dic1112yes—
496C24C22⋊Dic1111yescharacteristic
497C24C22×Dic1111yescharacteristic
498C24C22×Dic1112yes—
499C24C22×Dic1112yescomplemented
500C24C2×C22⋊D1111yescharacteristic
501C24C2×C22⋊D1112yes—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—22no—
507C2×D4—42no—
508C2×D4—41no—
509C2×D4—42no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—41no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—41no—
520C2×D4—42no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—41no—
529C2×D4—41no—
530C2×D4—44no—
531C2×D4—44no—
532C2×D4—82no—
533C2×D4—82no—
534C2×D4C22⋊Dic1112yes—
535C2×D4C22⋊Dic1112yes—
536C2×D4C22⋊Dic1112yes—
537C2×D4C22×Dic1112yes—
538C2×D4C22×Dic1111yescharacteristic
539C2×D4C2×C22⋊D1111yescharacteristic
540C2×D4C2×C22⋊D1112yes—
541C2×D4C2×C22⋊D1111yescharacteristic
542C2×D4C2×C22⋊D1112yes—
543C2×D4C23×D1111yescharacteristic
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—41no—
553C22×C4—41no—
554C22×C4—82no—
555C22×C4—444no—
556C22×C4—442no—
557C22×C4—884no—
558C22×C4C22⋊Dic1111yescharacteristic
559C22×C4C22⋊Dic1112yes—
560C22×C4C22×Dic1112yescomplemented
561C22×C4C2×C22⋊D1111yescharacteristic
562C22×C4C2×C22⋊D1112yes—
563M16—224no—
564M16—442no—
565M16—444no—
566C2×C8—444no—
567C2×C8—442no—
568C4⋊C4—24no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—224no—
581C22⋊C4—442no—
582C22⋊C4—444no—
583C22⋊C4C22×Dic1112yescomplemented
584C22⋊C4C22×Dic1112yescomplemented
585C11C2×#212111yescharacteristic, complemented, Sylow
586C23—21no—
587C23—22no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—82no—
619C23—82no—
620C23—82no—
621C23—82no—
622C23—82no—
623C23—84no—
624C23—84no—
625C23—82no—
626C23—84no—
627C23—84no—
628C23#6689811yescharacteristic
629C23#6689811yescharacteristic
630C23#6689812yes—
631C23C2×C22⋊Dic1111yescharacteristic
632C23C2×C22⋊Dic1111yescharacteristic
633C23C2×C22⋊Dic1112yes—
634C23C2×C22⋊Dic1111yescharacteristic
635C23C2×C22⋊Dic1112yes—
636C23C2×C22⋊Dic1112yes—
637C23C23×Dic1111yescharacteristic
638C23C22×C22⋊D1111yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—41no—
644D4—41no—
645D4—42no—
646D4—41no—
647D4—42no—
648D4—41no—
649D4—48no—
650D4—44no—
651D4—44no—
652D4—84no—
653D4—82no—
654D4—82no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—84no—
673C2×C4—444no—
674C2×C4—888no—
675C2×C4—884no—
676C2×C4C2×C22⋊Dic1112yes—
677C2×C4C2×C22⋊Dic1111yescharacteristic
678C2×C4C22×C22⋊D1111yescharacteristic
679C8—444no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—81no—
709C22—81no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—84no—
718C22—84no—
719C22—82no—
720C22C2×#6689811yescharacteristic
721C22C2×#6689812yes—
722C22C2×#6689812yes—
723C22C2×#6689811yescharacteristic
724C22C22×C22⋊Dic1111yescharacteristic
725C4—21no—
726C4—22no—
727C4—21no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—884no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—42no—
738C2—41no—
739C2—41no—
740C2—41no—
741C2—42no—
742C2—82no—
743C2#1307026212yesdirect product factor
744C2C22×#6689811yescharacteristic
subgroupG/H
centerC22C2×#66898
commutatorC23×C11C23×C4
FrattiniC2×D4C23×D11
Fitting, prime radicalC2×C11×#534C2
socleC22×C11C2×#99
cosocleC2×D4×C11C24
hypercenterC2×#534D11
hypocenterC11C2×#2121
LCSG ▷ C23×C11 ▷ C22×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. C22×#66897C2semidirect
2. C22×#66898C2semidirect
3. #13070262C2direct (N × H)
4. C2×#10622177C2semidirect
5. C2×#10622174C2semidirect
7. C23×D4×C11C4semidirect
11. C11×#534C4semidirect
14. C2×C11×#123C4semidirect
19. C2×C11×#120C4semidirect
21. C22×C11×C22⋊C4C4semidirect
27. C2×#66898C22semidirect
31. C2×#66897C22semidirect
32. #10622177C22semidirect
33. #10622174C22semidirect
35. C25×C11C2×C4semidirect
50. C22×D4×C11C2×C4semidirect
58. C23×C4×C11C2×C4semidirect
66. C11×#123C2×C4semidirect
67. C11×#123C2×C4semidirect
78. C11×#120C2×C4semidirect
79. C11×#120C2×C4semidirect
89. C2×C11×C22⋊C4C2×C4semidirect
90. C2×C11×C22⋊C4C2×C4semidirect
91. C2×C11×C22⋊C4C2×C4semidirect
128. C24×C11C22×C4semidirect
186. C22×C4×C11C22×C4semidirect
204. C11×C22⋊C4C22×C4semidirect
205. C11×C22⋊C4C22×C4semidirect
314. C23×D4Dic11semidirect
319. #534Dic11semidirect
322. C2×#123Dic11semidirect
327. C2×#120Dic11semidirect
330. C22×C22⋊C4Dic11semidirect
394. C25C2×Dic11semidirect
409. C22×D4C2×Dic11semidirect
418. C23×C4C2×Dic11semidirect
430. #123C2×Dic11semidirect
431. #123C2×Dic11semidirect
442. #120C2×Dic11semidirect
443. #120C2×Dic11semidirect
457. C2×C22⋊C4C2×Dic11semidirect
458. C2×C22⋊C4C2×Dic11semidirect
459. C2×C22⋊C4C2×Dic11semidirect
477. C2×C11#2121semidirect
499. C24C22×Dic11semidirect
560. C22×C4C22×Dic11semidirect
583. C22⋊C4C22×Dic11semidirect
584. C22⋊C4C22×Dic11semidirect
585. C11C2×#2121semidirect
743. C2#13070262direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#668972
C22×#668982
#130702622
C2×#106221772
C2×#106221742
C2×C11×#5342
C2×#212111