Finite Group Databasebeta

← C22×#10622434 #15617364

Subgroups — C22×#10622434 #15617364

Order 2816.

5198 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
1C22×#41×D11C211yesmaximal, characteristic
2C22×M16×D11C211yesmaximal, characteristic, complemented
3C22×#66925C211yesmaximal, characteristic, complemented
4C2×#10622434C2124yesmaximal, direct product factor
5C22×#66869C211yesmaximal, characteristic, complemented
6C22×#66901C211yesmaximal, characteristic, complemented
7C22×#66889C211yesmaximal, characteristic, complemented
8C22×C11×#104C211yesmaximal, characteristic, complemented
9C22×C11×#41C2211yescharacteristic
10C2×#41×D11—26no—
11C2×#41×D11—26no—
12C2×#41×D11C4112yescomplemented
13C2×#41×D11C22112yes—
14C22×#4343C411yescharacteristic, complemented
15C22×Q8×D11C411yescharacteristic, complemented
16C22×#4341—21no—
17C22×#4341C411yescharacteristic, complemented
18C22×D4×D11—21no—
19C22×D4×D11C411yescharacteristic, complemented
20C22×#4339—21no—
21C22×#4339C2211yescharacteristic
22C23×C4×D11—21no—
23C23×C4×D11C2211yescharacteristic
24C22×C11×M16C2211yescharacteristic, complemented
25C22×C42×C11C2211yescharacteristic, complemented
26C22×(C2×D11)⋊C4—21no—
27C22×Dic11⋊C4—21no—
28C22×C4×Dic11C2211yescharacteristic, complemented
29C22×#4318C2211yescharacteristic, complemented
30C2×M16×D11—26no—
31C2×M16×D11C22112yescomplemented
32C22×#4313—21no—
33C22×C8×D11—21no—
34C2×#66925—26no—
35C2×#66925C22112yescomplemented
36C2×C11×#104C22112yescomplemented
37C2×#66901C22112yescomplemented
38C2×#66889C22112yescomplemented
39C2×#66869C22112yescomplemented
40#10622434C22164yesdirect product factor
41C24×D11—21no—
42C24×D11D411yescharacteristic
43C2×C11×#41—23no—
44C2×C11×#41—23no—
45C2×C11×#41C2×C416yes—
46C2×C11×#41C2316yes—
47C22×Q8×C11C2×C411yescharacteristic
48C22×D4×C11—21no—
49C22×D4×C11C2×C411yescharacteristic
50C23×C4×C11—21no—
51C23×C4×C11—21no—
52C23×C4×C11C2311yescharacteristic
53C22×C22⋊D11—21no—
54C22×C22⋊D11—21no—
55C22×C22⋊D11—21no—
56C23×Dic11—21no—
57C23×Dic11—21no—
58C23×Dic11D411yescharacteristic
59#41×D11—248no—
60#41×D11—224no—
61#41×D11—224no—
62#41×D11C2×C4148yescomplemented
63#41×D11C23116yes—
64C2×#4343—26no—
65C2×#4343C2×C4112yescomplemented
66C2×Q8×D11—26no—
67C2×Q8×D11C2×C4112yescomplemented
68C2×#4341—212no—
69C2×#4341—212no—
70C2×#4341—26no—
71C2×#4341C2×C4112yescomplemented
72C2×D4×D11—212no—
73C2×D4×D11—212no—
74C2×D4×D11—26no—
75C2×D4×D11C2×C4112yescomplemented
76C2×#4339—23no—
77C2×#4339—23no—
78C2×#4339—212no—
79C2×#4339—212no—
80C2×#4339C2×C416yes—
81C2×#4339C2316yes—
82C22×D44—21no—
83C22×D44C2×C411yescharacteristic
84C22×C4×D11—21no—
85C22×C4×D11—21no—
86C22×C4×D11—21no—
87C22×C4×D11—212no—
88C22×C4×D11—212no—
89C22×C4×D11C2×C411yescharacteristic
90C22×C4×D11C2×C411yescharacteristic
91C22×C4×D11C2×C416yes—
92C22×C4×D11D416yes—
93C22×C4×D11D411yescharacteristic
94C22×C4×D11D411yescharacteristic
95C22×C4×D11D416yes—
96C22×C4×D11C2316yes—
97C22×Dic22—21no—
98C22×Dic22C2×C411yescharacteristic
99C2×C11×M16—23no—
100C2×C11×M16C2316yescomplemented
101C22×C8×C11—21no—
102C2×C42×C11—23no—
103C2×C42×C11C2316yescomplemented
104C2×(C2×D11)⋊C4—212no—
105C2×Dic11⋊C4—212no—
106C2×C4×Dic11—23no—
107C2×C4×Dic11C2316yescomplemented
108C2×#4318—23no—
109C2×#4318C2316yescomplemented
110C22×C11⋊C8—21no—
111M16×D11—224no—
112M16×D11C23116yescomplemented
113C2×#4313—212no—
114C2×C8×D11—212no—
115#66925—224no—
116#66925C23116yescomplemented
117C11×#104C23116yescomplemented
118#66901C23116yescomplemented
119#66889C23116yescomplemented
120#66869C23116yescomplemented
121C22×#421—111nomaximal, Sylow
122C24×C11—21no—
123C24×C11C2×D411yescharacteristic
124C23×D11—21no—
125C23×D11—212no—
126C23×D11—44no—
127C23×D11—48no—
128C23×D11C22⋊C411yescharacteristic
129C23×D11C22⋊C411yescharacteristic
130C23×D11C22⋊C416yes—
131C23×D11C2×D416yes—
132C11×#41—212no—
133C11×#41—26no—
134C11×#41—26no—
135C11×#41C22×C4112yes—
136C11×#41C2414yes—
137C2×Q8×C11—23no—
138C2×Q8×C11C22×C416yes—
139C2×D4×C11—26no—
140C2×D4×C11—26no—
141C2×D4×C11—23no—
142C2×D4×C11C22×C416yes—
143C22×C4×C11—21no—
144C22×C4×C11—26no—
145C22×C4×C11—26no—
146C22×C4×C11—26no—
147C22×C4×C11—44no—
148C22×C4×C11C22×C411yescharacteristic
149C22×C4×C11C22×C413yes—
150C22×C4×C11C2×D413yes—
151C22×C4×C11C2×D413yes—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2413yes—
154C2×C22⋊D11—212no—
155C2×C22⋊D11—26no—
156C2×C22⋊D11—26no—
157C2×C22⋊D11—212no—
158C22×Dic11—212no—
159C22×Dic11—21no—
160C22×Dic11—26no—
161C22×Dic11—44no—
162C22×Dic11C22⋊C411yescharacteristic
163C22×Dic11C22⋊C411yescharacteristic
164C22×Dic11C22⋊C416yes—
165C22×Dic11C2×D416yes—
166#4343—224no—
167#4343C22×C4116yescomplemented
168Q8×D11—224no—
169Q8×D11C22×C4116yescomplemented
170#4341—248no—
171#4341—216no—
172#4341—224no—
173#4341C22×C4116yescomplemented
174D4×D11—224no—
175D4×D11—248no—
176D4×D11—216no—
177D4×D11C22×C4116yescomplemented
178#4339—248no—
179#4339—216no—
180#4339—212no—
181#4339—26no—
182#4339—26no—
183#4339C22×C4112yes—
184#4339C2414yes—
185C2×D44—212no—
186C2×D44—23no—
187C2×D44C22×C416yes—
188C2×C4×D11—212no—
189C2×C4×D11—248no—
190C2×C4×D11—216no—
191C2×C4×D11—212no—
192C2×C4×D11—26no—
193C2×C4×D11—26no—
194C2×C4×D11C22⋊C416yes—
195C2×C4×D11C22⋊C416yes—
196C2×C4×D11C22⋊C416yes—
197C2×C4×D11C22⋊C416yes—
198C2×C4×D11C22⋊C4124yes—
199C2×C4×D11C22×C416yes—
200C2×C4×D11C22×C416yes—
201C2×C4×D11C22×C4112yes—
202C2×C4×D11C2×D416yes—
203C2×C4×D11C2×D416yes—
204C2×C4×D11C2×D4112yes—
205C2×C4×D11C2×D4112yes—
206C2×C4×D11C2414yes—
207C2×Dic22—212no—
208C2×Dic22—23no—
209C2×Dic22C22×C416yes—
210C11×M16—26no—
211C11×M16C2414yescomplemented
212C2×C8×C11—26no—
213C42×C11—26no—
214C42×C11C2414yescomplemented
215(C2×D11)⋊C4—216no—
216Dic11⋊C4—216no—
217C4×Dic11—26no—
218C4×Dic11C2414yescomplemented
219#4318—26no—
220#4318C2414yescomplemented
221C2×C11⋊C8—26no—
222#4313—216no—
223C8×D11—216no—
224C23×#41—111no—
225C23×M16—111no—
226C22×#117—111no—
227C2×#421—1124no—
228C22×#104—111no—
229C22×#104—111no—
230C22×#104—111no—
231C22×#104D1111yescharacteristic, complemented
232C23×C11—24no—
233C23×C11—26no—
234C23×C11—44no—
235C23×C11C2×C22⋊C413yes—
236C23×C11C2×C22⋊C411yescharacteristic
237C23×C11C22×D413yes—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—26no—
241C22×D11—216no—
242C22×D11—412no—
243C22×D11—412no—
244C22×D11—448no—
245C22×D11—44no—
246C22×D11C2×C22⋊C416yes—
247C22×D11C2×C22⋊C416yes—
248C22×D11C2×C22⋊C4112yes—
249C22×D11C22×D414yes—
250Q8×C11—26no—
251Q8×C11C23×C414yes—
252D4×C11—212no—
253D4×C11—24no—
254D4×C11—26no—
255D4×C11C23×C414yes—
256C2×C4×C11—26no—
257C2×C4×C11—212no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—412no—
261C2×C4×C11C2×C22⋊C413yes—
262C2×C4×C11C2×C22⋊C413yes—
263C2×C4×C11C2×C22⋊C416yes—
264C2×C4×C11C23×C413yes—
265C2×C4×C11C23×C413yes—
266C2×C4×C11C22×D413yes—
267C2×C4×C11C22×D413yes—
268C2×C4×C11C22×D413yes—
269C2×C4×C11C2511yescharacteristic
270C22⋊D11—212no—
271C22⋊D11—24no—
272C22⋊D11—216no—
273C22⋊D11—216no—
274C2×Dic11—26no—
275C2×Dic11—216no—
276C2×Dic11—24no—
277C2×Dic11—412no—
278C2×Dic11C2×C22⋊C416yes—
279C2×Dic11C2×C22⋊C416yes—
280C2×Dic11C2×C22⋊C4112yes—
281C2×Dic11C22×D414yes—
282D44—216no—
283D44—26no—
284D44C23×C414yes—
285C4×D11—216no—
286C4×D11—212no—
287C4×D11—24no—
288C4×D11—216no—
289C4×D11C2×C22⋊C4112yes—
290C4×D11C2×C22⋊C4112yes—
291C4×D11C2×C22⋊C4112yes—
292C4×D11C2×C22⋊C4112yes—
293C4×D11C23×C414yes—
294C4×D11C23×C414yes—
295C4×D11C22×D414yes—
296C4×D11C22×D414yes—
297Dic22—26no—
298Dic22—216no—
299Dic22C23×C414yes—
300C8×C11—24no—
301C11⋊C8—24no—
302C22×#41—1112no—
303C22×#41—1112no—
304C22×#41—111no—
305C22×#41—111no—
306C22×#41—111no—
307C22×#41—221no—
308C22×#41—221no—
309C22×#41—226no—
310C22×#41—226no—
311C22×#41C2×D1111yescharacteristic
312C23×Q8—111no—
313C23×D4—111no—
314C23×D4—221no—
315C24×C4—111no—
316C24×C4—221no—
317C22×M16—111no—
318C22×M16—1112no—
319C22×M16—221no—
320C22×M16—226no—
321C22×M16C2×D1111yescharacteristic, complemented
322C23×C8—221no—
323C2×#117—1112no—
324C2×#117—226no—
325C22×C4⋊C4—221no—
326C22×C22⋊C4—221no—
327C22×C42—111no—
328C22×C42C2×D1111yescharacteristic, complemented
329#421—1164no—
330C2×#104—1112no—
331C2×#104—1112no—
332C2×#104—1112no—
333C2×#104C2×D11112yescomplemented
334C22×C11—26no—
335C22×C11—26no—
336C22×C11—24no—
337C22×C11—412no—
338C22×C11#42114yescomplemented
339C22×C11C22×C22⋊C413yes—
340C22×C11C22×C22⋊C413yes—
341C22×C11C23×D411yescharacteristic
342C2×D11—212no—
343C2×D11—212no—
344C2×D11—24no—
345C2×D11—412no—
346C2×D11—44no—
347C2×D11—432no—
348C2×D11—412no—
349C2×D11C22×C22⋊C414yes—
350C2×D11C22×C22⋊C414yes—
351C4×C11—24no—
352C4×C11—44no—
353C4×C11C22×C22⋊C413yes—
354C4×C11C22×C22⋊C413yes—
355C4×C11C24×C411yescharacteristic
356C4×C11C23×D411yescharacteristic
357Dic11—24no—
358Dic11—44no—
359Dic11C22×C22⋊C414yes—
360Dic11C22×C22⋊C414yes—
361C25—111no—
362C25—221no—
363C2×#41—23no—
364C2×#41—23no—
365C2×#41—1148no—
366C2×#41—1116no—
367C2×#41—1112no—
368C2×#41—1112no—
369C2×#41—116no—
370C2×#41—116no—
371C2×#41—2212no—
372C2×#41—2212no—
373C2×#41—2212no—
374C2×#41—2212no—
375C2×#41—226no—
376C2×#41—226no—
377C2×#41—2248no—
378C2×#41—2224no—
379C2×#41—2224no—
380C2×#41—223no—
381C2×#41—223no—
382C2×#41C4×D1116yes—
383C2×#41C22×D1116yes—
384C22×Q8—1112no—
385C22×Q8—111no—
386C22×Q8—221no—
387C22×Q8—226no—
388C22×Q8C4×D1111yescharacteristic
389C22×D4—21no—
390C22×D4—1112no—
391C22×D4—111no—
392C22×D4—221no—
393C22×D4—226no—
394C22×D4—221no—
395C22×D4—2212no—
396C22×D4—2212no—
397C22×D4—221no—
398C22×D4—221no—
399C22×D4C4×D1111yescharacteristic
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—111no—
403C23×C4—111no—
404C23×C4—111no—
405C23×C4—116no—
406C23×C4—116no—
407C23×C4—116no—
408C23×C4—111no—
409C23×C4—111no—
410C23×C4—116no—
411C23×C4—221no—
412C23×C4—2212no—
413C23×C4—2212no—
414C23×C4—221no—
415C23×C4—221no—
416C23×C4—221no—
417C23×C4—221no—
418C23×C4C22×D1111yescharacteristic
419C2×M16—23no—
420C2×M16—116no—
421C2×M16—1116no—
422C2×M16—2212no—
423C2×M16—2224no—
424C2×M16—223no—
425C2×M16C22×D1116yescomplemented
426C22×C8—21no—
427C22×C8—2212no—
428C22×C8—221no—
429#117—1116no—
430#117—2224no—
431C2×C4⋊C4—2212no—
432C2×C22⋊C4—2212no—
433C2×C42—23no—
434C2×C42—116no—
435C2×C42—223no—
436C2×C42C22×D1116yescomplemented
437#104—1116no—
438#104—1116no—
439#104—1116no—
440#104C22×D11116yescomplemented
441C2×C11—21no—
442C2×C11—23no—
443C2×C11—44no—
444C2×C11C2×#42116yescomplemented
445C2×C11C23×C22⋊C411yescharacteristic
446D11—24no—
447D11—24no—
448D11—44no—
449C24—21no—
450C24—111no—
451C24—111no—
452C24—116no—
453C24—116no—
454C24—2212no—
455C24—221no—
456C24—444no—
457C24—448no—
458C24D4×D1111yescharacteristic
459#41—212no—
460#41—26no—
461#41—26no—
462#41—1116no—
463#41—1116no—
464#41—1112no—
465#41—114no—
466#41—2248no—
467#41—2216no—
468#41—2248no—
469#41—2216no—
470#41—2224no—
471#41—2224no—
472#41—2212no—
473#41—226no—
474#41—226no—
475#41C2×C4×D11112yes—
476#41C23×D1114yes—
477C2×Q8—23no—
478C2×Q8—1116no—
479C2×Q8—116no—
480C2×Q8—2212no—
481C2×Q8—2224no—
482C2×Q8—223no—
483C2×Q8C2×C4×D1116yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—23no—
487C2×D4—1116no—
488C2×D4—116no—
489C2×D4—2212no—
490C2×D4—2224no—
491C2×D4—2212no—
492C2×D4—2248no—
493C2×D4—2216no—
494C2×D4—2212no—
495C2×D4—226no—
496C2×D4—226no—
497C2×D4—223no—
498C2×D4C2×C4×D1116yes—
499C22×C4—21no—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—44no—
504C22×C4—111no—
505C22×C4—111no—
506C22×C4—116no—
507C22×C4—116no—
508C22×C4—116no—
509C22×C4—116no—
510C22×C4—116no—
511C22×C4—116no—
512C22×C4—1124no—
513C22×C4—116no—
514C22×C4—116no—
515C22×C4—1112no—
516C22×C4—1112no—
517C22×C4—116no—
518C22×C4—116no—
519C22×C4—1112no—
520C22×C4—114no—
521C22×C4—2212no—
522C22×C4—2248no—
523C22×C4—2216no—
524C22×C4—2212no—
525C22×C4—2212no—
526C22×C4—221no—
527C22×C4—226no—
528C22×C4—226no—
529C22×C4—226no—
530C22×C4—444no—
531C22×C4C2×C4×D1111yescharacteristic
532C22×C4C2×C4×D1113yes—
533C22×C4D4×D1113yes—
534C22×C4D4×D1113yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4C23×D1113yes—
537M16—26no—
538M16—114no—
539M16—2216no—
540M16—226no—
541M16C23×D1114yescomplemented
542C2×C8—26no—
543C2×C8—2216no—
544C2×C8—226no—
545C4⋊C4—2216no—
546C22⋊C4—2216no—
547C42—26no—
548C42—114no—
549C42—226no—
550C42C23×D1114yescomplemented
551C11C22×#42111yescharacteristic, complemented, Sylow
552C23—24no—
553C23—26no—
554C23—44no—
555C23—116no—
556C23—116no—
557C23—1112no—
558C23—114no—
559C23—2216no—
560C23—224no—
561C23—224no—
562C23—226no—
563C23—4412no—
564C23—4412no—
565C23—4448no—
566C23—444no—
567C23C22⋊C4×D1113yes—
568C23C22⋊C4×D1111yescharacteristic
569C23C2×D4×D1113yes—
570Q8—26no—
571Q8—114no—
572Q8—2216no—
573Q8—226no—
574Q8C22×C4×D1114yes—
575D4—212no—
576D4—24no—
577D4—26no—
578D4—114no—
579D4—2216no—
580D4—2216no—
581D4—2216no—
582D4—2212no—
583D4—224no—
584D4—226no—
585D4C22×C4×D1114yes—
586C2×C4—26no—
587C2×C4—212no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—412no—
591C2×C4—116no—
592C2×C4—116no—
593C2×C4—1112no—
594C2×C4—114no—
595C2×C4—1112no—
596C2×C4—1112no—
597C2×C4—1112no—
598C2×C4—1112no—
599C2×C4—114no—
600C2×C4—114no—
601C2×C4—114no—
602C2×C4—114no—
603C2×C4—2216no—
604C2×C4—2216no—
605C2×C4—2216no—
606C2×C4—226no—
607C2×C4—2212no—
608C2×C4—224no—
609C2×C4—224no—
610C2×C4—4412no—
611C2×C4C22⋊C4×D1113yes—
612C2×C4C22⋊C4×D1113yes—
613C2×C4C22⋊C4×D1116yes—
614C2×C4C22×C4×D1113yes—
615C2×C4C22×C4×D1113yes—
616C2×C4C2×D4×D1113yes—
617C2×C4C2×D4×D1113yes—
618C2×C4C2×D4×D1113yes—
619C2×C4C24×D1111yescharacteristic
620C8—24no—
621C8—224no—
622C22—26no—
623C22—26no—
624C22—24no—
625C22—412no—
626C22—114no—
627C22—114no—
628C22—2212no—
629C22—2212no—
630C22—224no—
631C22—444no—
632C22—4412no—
633C22—4432no—
634C22—4412no—
635C22#1062243414yesdirect product factor
636C22C2×C22⋊C4×D1113yes—
637C22C2×C22⋊C4×D1113yes—
638C22C22×D4×D1111yescharacteristic
639C4—24no—
640C4—44no—
641C4—114no—
642C4—114no—
643C4—224no—
644C4—444no—
645C4C2×C22⋊C4×D1113yes—
646C4C2×C22⋊C4×D1113yes—
647C4C23×C4×D1111yescharacteristic
648C4C22×D4×D1111yescharacteristic
649C2—21no—
650C2—23no—
651C2—44no—
652C2—224no—
653C2—224no—
654C2—444no—
655C2C2×#1062243416yesdirect product factor
656C2C22×C22⋊C4×D1111yescharacteristic
subgroupG/H
centerC22×C4D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC22×C11×#104C2
socleC23×C11C2×C22⋊C4
prime radicalC22×#41×D11C2
cosocleC2×C4×C11C25
hypercenterC22×#104D11
hypocenterC11C22×#421
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
2. C22×M16×D11C2semidirect
3. C22×#66925C2semidirect
4. C2×#10622434C2direct (N × H)
5. C22×#66869C2semidirect
6. C22×#66901C2semidirect
7. C22×#66889C2semidirect
8. C22×C11×#104C2semidirect
12. C2×#41×D11C4semidirect
14. C22×#4343C4semidirect
15. C22×Q8×D11C4semidirect
17. C22×#4341C4semidirect
19. C22×D4×D11C4semidirect
24. C22×C11×M16C22semidirect
25. C22×C42×C11C22semidirect
28. C22×C4×Dic11C22semidirect
29. C22×#4318C22semidirect
31. C2×M16×D11C22semidirect
35. C2×#66925C22semidirect
36. C2×C11×#104C22semidirect
37. C2×#66901C22semidirect
38. C2×#66889C22semidirect
39. C2×#66869C22semidirect
40. #10622434C22direct (N × H)
62. #41×D11C2×C4semidirect
65. C2×#4343C2×C4semidirect
67. C2×Q8×D11C2×C4semidirect
71. C2×#4341C2×C4semidirect
75. C2×D4×D11C2×C4semidirect
100. C2×C11×M16C23semidirect
103. C2×C42×C11C23semidirect
107. C2×C4×Dic11C23semidirect
109. C2×#4318C23semidirect
112. M16×D11C23semidirect
116. #66925C23semidirect
117. C11×#104C23semidirect
118. #66901C23semidirect
119. #66889C23semidirect
120. #66869C23semidirect
167. #4343C22×C4semidirect
169. Q8×D11C22×C4semidirect
173. #4341C22×C4semidirect
177. D4×D11C22×C4semidirect
211. C11×M16C24semidirect
214. C42×C11C24semidirect
218. C4×Dic11C24semidirect
220. #4318C24semidirect
231. C22×#104D11semidirect
321. C22×M16C2×D11semidirect
328. C22×C42C2×D11semidirect
333. C2×#104C2×D11semidirect
338. C22×C11#421semidirect
425. C2×M16C22×D11semidirect
436. C2×C42C22×D11semidirect
440. #104C22×D11semidirect
444. C2×C11C2×#421semidirect
541. M16C23×D11semidirect
550. C42C23×D11semidirect
551. C11C22×#421semidirect
635. C22#10622434direct (N × H)
655. C2C2×#10622434direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41×D112
C22×M16×D112
C22×#669252
C2×#106224342
C22×#668692
C22×#669012
C22×#668892
C22×C11×#1042
C22×#42111