Finite Group Databasebeta

← C2×#13071455 #14912967

Subgroups — C2×#13071455 #14912967

Order 2816.

5718 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#4341C211yesmaximal, characteristic
2C22×C4×Dic22C211yesmaximal, characteristic, complemented
3C22×#66940C211yesmaximal, characteristic, complemented
4#13071455C2116yesmaximal, direct product factor
5C2×#10622834C211yesmaximal, characteristic, complemented
6C2×#10622570C212yesmaximal, complemented
7C2×#10622570C212yesmaximal, complemented
8C2×#10622555C212yesmaximal, complemented
9C2×#10622600C211yesmaximal, characteristic, complemented
10C2×C22⋊C4×Dic11C212yesmaximal, complemented
11C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
12C2×C11×#390C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×C22⋊D11C2212yes—
15C24×Dic11C2212yes—
16C22×#4341—28no—
17C22×#4341—28no—
18C22×#4341C4116yescomplemented
19C22×#4341C2218yes—
20C23×C4×D11C2211yescharacteristic
21C23×Dic22C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yes—
24C22×C11×C22⋊C4C2212yes—
25C22×C42×C11C2211yescharacteristic
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C22×(C2×D11)⋊C4C2211yescharacteristic
29C22×(C2×D11)⋊C4C2211yescharacteristic
30C22×(C2×D11)⋊C4C2212yes—
31C22×C4⋊Dic11C2211yescharacteristic
32C22×Dic11⋊C4C2212yes—
33C22×Dic11⋊C4C2212yes—
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2212yes—
36C22×C4×Dic11C2212yes—
37C2×#66940—28no—
38C2×#66940C2218yescomplemented
39C2×C4×Dic22—28no—
40C2×C4×Dic22C2218yescomplemented
41C11×#390C2218yescomplemented
42#10622834C2218yescomplemented
43C2×C11⋊#95C2211yescharacteristic
44C2×C11⋊#95C2211yescharacteristic
45C2×C11⋊#95C2212yes—
46#10622600C2218yescomplemented
47#10622570C22116yescomplemented
48#10622570C22116yescomplemented
49#10622555C22116yescomplemented
50C22⋊C4×Dic11C22116yescomplemented
51C4×(C2×D11)⋊C4C2218yescomplemented
52C25×C11C2312yes—
53C24×D11C2311yescharacteristic
54C22×D4×C11—24no—
55C22×D4×C11—24no—
56C22×D4×C11C2×C418yes—
57C22×D4×C11C2314yes—
58C23×C4×C11C2312yes—
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—28no—
63C22×C22⋊D11—28no—
64C22×C22⋊D11C2×C4116yes—
65C22×C22⋊D11C2318yes—
66C23×Dic11—28no—
67C23×Dic11—28no—
68C23×Dic11C2×C4116yes—
69C23×Dic11C2311yescharacteristic
70C23×Dic11C2312yes—
71C23×Dic11C2318yes—
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2311yescharacteristic
74C23×Dic11C2312yes—
75C2×#4341—2128no—
76C2×#4341—232no—
77C2×#4341—232no—
78C2×#4341C2×C4164yescomplemented
79C22×C4×D11—24no—
80C22×C4×D11—24no—
81C22×C4×D11C2×C418yes—
82C22×C4×D11C2314yes—
83C22×Dic22C2×C418yes—
84C22×Dic22D418yes—
85C22×Dic22D418yes—
86C22×Dic22C2314yes—
87C2×C11×C4⋊C4—24no—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4—28no—
90C2×C11×C22⋊C4—44no—
91C2×C11×C22⋊C4C2318yes—
92C2×C11×C22⋊C4C2318yes—
93C2×C42×C11—24no—
94C2×C42×C11C2314yes—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—44no—
97C2×C22⋊Dic11C2318yes—
98C2×C22⋊Dic11C2318yes—
99C2×(C2×D11)⋊C4—24no—
100C2×(C2×D11)⋊C4—24no—
101C2×(C2×D11)⋊C4—44no—
102C2×(C2×D11)⋊C4C2314yes—
103C2×(C2×D11)⋊C4C2314yes—
104C2×(C2×D11)⋊C4C2318yes—
105C2×C4⋊Dic11—24no—
106C2×C4⋊Dic11C2314yes—
107C2×Dic11⋊C4—28no—
108C2×Dic11⋊C4—28no—
109C2×Dic11⋊C4C2318yes—
110C2×Dic11⋊C4C2318yes—
111C2×C4×Dic11—24no—
112C2×C4×Dic11—28no—
113C2×C4×Dic11—28no—
114C2×C4×Dic11C2318yes—
115C2×C4×Dic11C2314yes—
116C2×C4×Dic11C2318yes—
117#66940—232no—
118C4×Dic22—232no—
119C11⋊#95C2314yes—
120C11⋊#95C2314yes—
121C11⋊#95C2318yes—
122C2×#2341—111nomaximal, Sylow
123C24×C11—24no—
124C24×C11—24no—
125C24×C11—24no—
126C24×C11—24no—
127C24×C11—24no—
128C24×C11—24no—
129C24×C11C22×C418yes—
130C24×C11C2414yes—
131C24×C11C2411yescharacteristic
132C23×D11—22no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—22no—
136C23×D11—22no—
137C23×D11—22no—
138C23×D11C22×C414yes—
139C23×D11C2412yes—
140C2×D4×C11—232no—
141C2×D4×C11—28no—
142C2×D4×C11—28no—
143C2×D4×C11C22×C4116yes—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—24no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—24no—
150C22×C4×C11—24no—
151C22×C4×C11—22no—
152C22×C4×C11C22×C414yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11#4114yescomplemented
156C22×C4×C11C2414yes—
157C22×C4×C11C2412yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C2×C22⋊D11—264no—
161C2×C22⋊D11—216no—
162C2×C22⋊D11—216no—
163C2×C22⋊D11C22×C4132yes—
164C22×Dic11—264no—
165C22×Dic11—216no—
166C22×Dic11—216no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—24no—
172C22×Dic11—22no—
173C22×Dic11—24no—
174C22×Dic11—24no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11C22×C414yes—
178C22×Dic11C22×C4132yes—
179C22×Dic11C22×C418yes—
180C22×Dic11C2×D418yes—
181C22×Dic11C2×D418yes—
182C22×Dic11#4114yescomplemented
183C22×Dic11C2412yes—
184C22×Dic11C2414yes—
185C22×Dic11C2412yes—
186C22×Dic11C2412yes—
187C22×Dic11C2414yes—
188#4341—2256no—
189C2×C4×D11—232no—
190C2×C4×D11—28no—
191C2×C4×D11—28no—
192C2×C4×D11C22×C4116yes—
193C2×Dic22C22⋊C4164yescomplemented
194C2×Dic22C22×C4116yes—
195C2×Dic22C2×D4116yes—
196C2×Dic22C2×D4116yes—
197C11×C4⋊C4—28no—
198C11×C22⋊C4—216no—
199C11×C22⋊C4—48no—
200C42×C11—28no—
201C22⋊Dic11—216no—
202C22⋊Dic11—48no—
203(C2×D11)⋊C4—28no—
204(C2×D11)⋊C4—28no—
205(C2×D11)⋊C4—48no—
206C4⋊Dic11—28no—
207Dic11⋊C4—216no—
208Dic11⋊C4—216no—
209C4×Dic11—216no—
210C4×Dic11—216no—
211C4×Dic11—28no—
212C23×#41—111no—
213C22×C4×Q8—111no—
214C22×C4×Q8—111no—
215#2341—1116no—
216C2×#390—111no—
217C2×#390—112no—
218C2×#390—112no—
219C2×#390D1111yescharacteristic, complemented
220C2×#380—111no—
221C2×#380—112no—
222C2×C4×C22⋊C4—111no—
223C2×C4×C22⋊C4—112no—
224C23×C11—216no—
225C23×C11—216no—
226C23×C11—216no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—48no—
234C23×C11—48no—
235C23×C11—48no—
236C23×C11—48no—
237C23×C11C23×C418yes—
238C23×C11C23×C412yes—
239C23×C11C22×D412yes—
240C23×C11C22×D412yes—
241C23×C11C2×#4112yes—
242C23×C11C2×#4112yes—
243C23×C11H(5,𝔽2)12yes—
244C23×C112−1+412yes—
245C23×C11C2511yescharacteristic
246C22×D11—28no—
247C22×D11—28no—
248C22×D11—28no—
249C22×D11—22no—
250C22×D11—22no—
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—44no—
256C22×D11—44no—
257C22×D11—44no—
258C22×D11—44no—
259C22×D11C23×C414yes—
260D4×C11—232no—
261C2×C4×C11—28no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—24no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—24no—
268C2×C4×C11—24no—
269C2×C4×C11—22no—
270C2×C4×C11—48no—
271C2×C4×C11—44no—
272C2×C4×C11C2×C22⋊C4116yes—
273C2×C4×C11C23×C414yes—
274C2×C4×C11C22×D414yes—
275C2×C4×C11C22×D414yes—
276C2×C4×C11C2×#4114yescomplemented
277C22⋊D11—264no—
278C2×Dic11—28no—
279C2×Dic11—28no—
280C2×Dic11—22no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—22no—
284C2×Dic11—264no—
285C2×Dic11—22no—
286C2×Dic11—24no—
287C2×Dic11—22no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—22no—
291C2×Dic11—44no—
292C2×Dic11—48no—
293C2×Dic11C2×C22⋊C4132yes—
294C2×Dic11C23×C414yes—
295C2×Dic11C23×C418yes—
296C2×Dic11C22×D418yes—
297C2×Dic11C22×D418yes—
298C2×Dic11C2×#4114yescomplemented
299C4×D11—232no—
300Dic22C2×C22⋊C4164yescomplemented
301C22×#41—118no—
302C22×#41—1116no—
303C22×#41—228no—
304C22×#41—228no—
305C23×Q8—111no—
306C23×D4—112no—
307C23×D4C2×D1111yescharacteristic
308C24×C4—112no—
309C24×C4—111no—
310C2×C4×Q8—118no—
311C2×C4×Q8—118no—
312C2×C4×Q8—228no—
313C2×C4×Q8—228no—
314C22×C4⋊C4—112no—
315C22×C4⋊C4—112no—
316C22×C4⋊C4—111no—
317C22×C4⋊C4C2×D1111yescharacteristic
318C22×C22⋊C4—112no—
319C22×C22⋊C4—111no—
320C22×C22⋊C4—111no—
321C22×C22⋊C4—112no—
322C22×C22⋊C4—112no—
323C22×C22⋊C4C2×D1112yes—
324C22×C22⋊C4C2×D1112yes—
325C22×C42—112no—
326C22×C42—112no—
327C22×C42—111no—
328C22×C42C2×D1111yescharacteristic
329#390—118no—
330#390—1116no—
331#390—1116no—
332#390C2×D1118yescomplemented
333#380—118no—
334#380—1116no—
335C4×C22⋊C4—1116no—
336C4×C22⋊C4—118no—
337C2×#95—111no—
338C2×#95—111no—
339C2×#95—112no—
340C22×C11—28no—
341C22×C11—28no—
342C22×C11—28no—
343C22×C11—432no—
344C22×C11—44no—
345C22×C11—44no—
346C22×C11—44no—
347C22×C11—44no—
348C22×C11C22×C22⋊C414yes—
349C22×C11C4×#4114yes—
350C22×C11#52014yes—
351C22×C11#54814yes—
352C22×C11#54814yes—
353C22×C11#55014yes—
354C22×C11#55014yes—
355C22×C11C24×C411yescharacteristic
356C22×C11C23×D411yescharacteristic
357C22×C11C23×D411yescharacteristic
358C22×C11C22×#4111yescharacteristic
359C22×C11C22×#4111yescharacteristic
360C22×C11C2×H(5,𝔽2)11yescharacteristic
361C22×C11C2×2−1+411yescharacteristic
362C2×D11—24no—
363C2×D11—24no—
364C2×D11—24no—
365C2×D11—416no—
366C2×D11—42no—
367C2×D11—42no—
368C2×D11—42no—
369C2×D11—42no—
370C4×C11—24no—
371C4×C11—42no—
372C4×C11—44no—
373C4×C11C22×C22⋊C418yes—
374Dic11—24no—
375Dic11—24no—
376Dic11—44no—
377Dic11—42no—
378Dic11C22×C22⋊C4116yes—
379C25—111no—
380C25C22×D1112yes—
381C2×#41—1164no—
382C2×#41—22128no—
383C2×#41—2232no—
384C2×#41—2232no—
385C22×Q8—118no—
386C22×Q8—118no—
387C22×Q8—118no—
388C22×Q8—114no—
389C22×D4—24no—
390C22×D4—24no—
391C22×D4—1116no—
392C22×D4—118no—
393C22×D4—228no—
394C22×D4—228no—
395C22×D4C4×D1118yes—
396C22×D4C22×D1114yes—
397C23×C4—112no—
398C23×C4—1116no—
399C23×C4—118no—
400C23×C4—111no—
401C23×C4—111no—
402C23×C4—118no—
403C23×C4—114no—
404C23×C4—111no—
405C23×C4—112no—
406C23×C4—228no—
407C23×C4—228no—
408C23×C4—224no—
409C23×C4—224no—
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1112yes—
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C4×Q8—2232no—
415C4×Q8—2232no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—118no—
418C2×C4⋊C4—118no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—228no—
421C2×C4⋊C4—228no—
422C2×C4⋊C4—224no—
423C2×C4⋊C4C22×D1114yes—
424C2×C22⋊C4—28no—
425C2×C22⋊C4—44no—
426C2×C22⋊C4—118no—
427C2×C22⋊C4—114no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—224no—
432C2×C22⋊C4—228no—
433C2×C22⋊C4—224no—
434C2×C22⋊C4—444no—
435C2×C22⋊C4—444no—
436C2×C22⋊C4C22×D1118yes—
437C2×C22⋊C4C22×D1118yes—
438C2×C42—24no—
439C2×C42—118no—
440C2×C42—118no—
441C2×C42—114no—
442C2×C42—228no—
443C2×C42—228no—
444C2×C42—224no—
445C2×C42C22×D1114yes—
446#95—114no—
447#95—118no—
448#95—114no—
449C2×C11—48no—
450C2×C11#234118yescomplemented
451C2×C11C23×C22⋊C411yescharacteristic
452C2×C11C2×C4×#4111yescharacteristic
453C2×C11C2×#52011yescharacteristic
454C2×C11C2×#54811yescharacteristic
455C2×C11C2×#54811yescharacteristic
456C2×C11C2×#55011yescharacteristic
457C2×C11C2×#55011yescharacteristic
458D11—44no—
459C24—24no—
460C24—24no—
461C24—24no—
462C24—24no—
463C24—24no—
464C24—24no—
465C24—114no—
466C24—112no—
467C24—222no—
468C24—222no—
469C24—222no—
470C24—222no—
471C24—222no—
472C24—222no—
473C24C2×C4×D1118yes—
474C24C23×D1114yes—
475C24C23×D1111yescharacteristic
476#41—22256no—
477C2×Q8—1164no—
478C2×Q8—1116no—
479C2×Q8—1116no—
480C2×Q8—1116no—
481C2×D4—232no—
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—1132no—
485C2×D4—2264no—
486C2×D4—2216no—
487C2×D4—2216no—
488C2×D4C2×C4×D11116yes—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—118no—
498C22×C4—118no—
499C22×C4—118no—
500C22×C4—114no—
501C22×C4—114no—
502C22×C4—1132no—
503C22×C4—114no—
504C22×C4—112no—
505C22×C4—112no—
506C22×C4—1116no—
507C22×C4—112no—
508C22×C4—114no—
509C22×C4—2264no—
510C22×C4—2216no—
511C22×C4—2216no—
512C22×C4—222no—
513C22×C4—222no—
514C22×C4—222no—
515C22×C4—222no—
516C22×C4—2232no—
517C22×C4—228no—
518C22×C4—228no—
519C22×C4—222no—
520C22×C4—224no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4C2×C4×D1114yes—
526C22×C4D4×D1114yes—
527C22×C4D4×D1114yes—
528C22×C4#434114yescomplemented
529C22×C4C23×D1114yes—
530C22×C4C23×D1112yes—
531C22×C4C23×D1112yes—
532C22×C4C23×D1112yes—
533C4⋊C4—28no—
534C4⋊C4—2216no—
535C4⋊C4—2216no—
536C4⋊C4—228no—
537C22⋊C4—216no—
538C22⋊C4—48no—
539C22⋊C4—228no—
540C22⋊C4—2216no—
541C22⋊C4—228no—
542C22⋊C4—448no—
543C22⋊C4—448no—
544C42—28no—
545C42—2216no—
546C42—2216no—
547C42—228no—
548C11C2×#234111yescharacteristic, complemented, Sylow
549C23—216no—
550C23—216no—
551C23—216no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—48no—
559C23—48no—
560C23—48no—
561C23—48no—
562C23—114no—
563C23—228no—
564C23—228no—
565C23—228no—
566C23—222no—
567C23—222no—
568C23—222no—
569C23—222no—
570C23—222no—
571C23—222no—
572C23—444no—
573C23—444no—
574C23—444no—
575C23—444no—
576C23C22×C4×D1118yes—
577C23C22×C4×D1112yes—
578C23C2×D4×D1112yes—
579C23C2×D4×D1112yes—
580C23C2×#434112yes—
581C23#6703712yes—
582C23#41×D1112yes—
583C23#6704312yes—
584C23C24×D1111yescharacteristic
585Q8—1164no—
586D4—232no—
587D4—2264no—
588C2×C4—28no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—48no—
598C2×C4—44no—
599C2×C4—1132no—
600C2×C4—118no—
601C2×C4—118no—
602C2×C4—118no—
603C2×C4—114no—
604C2×C4—114no—
605C2×C4—2264no—
606C2×C4—228no—
607C2×C4—222no—
608C2×C4—222no—
609C2×C4—222no—
610C2×C4—222no—
611C2×C4—228no—
612C2×C4—2232no—
613C2×C4—224no—
614C2×C4—222no—
615C2×C4—222no—
616C2×C4—224no—
617C2×C4—222no—
618C2×C4—224no—
619C2×C4—444no—
620C2×C4—448no—
621C2×C4C22⋊C4×D11116yes—
622C2×C4C22×C4×D1114yes—
623C2×C4C2×D4×D1114yes—
624C2×C4C2×D4×D1114yes—
625C2×C4C2×#434114yescomplemented
626C22—28no—
627C22—28no—
628C22—28no—
629C22—432no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—224no—
635C22—224no—
636C22—224no—
637C22—4416no—
638C22—442no—
639C22—442no—
640C22—442no—
641C22—442no—
642C22C2×C22⋊C4×D1114yes—
643C22C4×#434114yes—
644C22#1062307714yes—
645C22#1062312914yes—
646C22#1062313014yes—
647C22#1062320814yes—
648C22#1062324914yes—
649C22C23×C4×D1111yescharacteristic
650C22C22×D4×D1111yescharacteristic
651C22C22×D4×D1111yescharacteristic
652C22C22×#434111yescharacteristic
653C22C2×#6703711yescharacteristic
654C22C2×#41×D1111yescharacteristic
655C22C2×#6704311yescharacteristic
656C4—24no—
657C4—42no—
658C4—44no—
659C4—1116no—
660C4—224no—
661C4—224no—
662C4—444no—
663C4—442no—
664C4C2×C22⋊C4×D1118yes—
665C2—48no—
666C2—444no—
667C2#1307145518yesdirect product factor
668C2C22×C22⋊C4×D1111yescharacteristic
669C2C2×C4×#434111yescharacteristic
670C2C2×#1062307711yescharacteristic
671C2C2×#1062312911yescharacteristic
672C2C2×#1062320811yescharacteristic
673C2C2×#1062313011yescharacteristic
674C2C2×#1062324911yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#390C2
socleC24×C11C24
prime radicalC23×#4341C2
cosocleC23×C11C25
hypercenterC2×#390D11
hypocenterC11C2×#2341
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×C4×Dic22C2semidirect
3. C22×#66940C2semidirect
4. #13071455C2direct (N × H)
5. C2×#10622834C2semidirect
6. C2×#10622570C2semidirect
7. C2×#10622570C2semidirect
8. C2×#10622555C2semidirect
9. C2×#10622600C2semidirect
10. C2×C22⋊C4×Dic11C2semidirect
11. C2×C4×(C2×D11)⋊C4C2semidirect
12. C2×C11×#390C2semidirect
18. C22×#4341C4semidirect
38. C2×#66940C22semidirect
40. C2×C4×Dic22C22semidirect
41. C11×#390C22semidirect
42. #10622834C22semidirect
46. #10622600C22semidirect
47. #10622570C22semidirect
48. #10622570C22semidirect
49. #10622555C22semidirect
50. C22⋊C4×Dic11C22semidirect
51. C4×(C2×D11)⋊C4C22semidirect
78. C2×#4341C2×C4semidirect
155. C22×C4×C11#41semidirect
182. C22×Dic11#41semidirect
193. C2×Dic22C22⋊C4semidirect
219. C2×#390D11semidirect
276. C2×C4×C11C2×#41semidirect
298. C2×Dic11C2×#41semidirect
300. Dic22C2×C22⋊C4semidirect
332. #390C2×D11semidirect
450. C2×C11#2341semidirect
528. C22×C4#4341semidirect
548. C11C2×#2341semidirect
625. C2×C4C2×#4341semidirect
667. C2#13071455direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#43412
C22×C4×Dic222
C22×#669402
#130714552
C2×#106228342
C2×#106225702
C2×#106225552
C2×#106226002
C2×C22⋊C4×Dic112
C2×C4×(C2×D11)⋊C42
C2×C11×#3902
C2×#234111