Finite Group Databasebeta

← #14780889

Subgroups — #14780889

Order 2816.

2178 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67002C211yesmaximal, characteristic, complemented
2C2×#10623361C211yesmaximal, characteristic, complemented
3C2×#10622845C211yesmaximal, characteristic, complemented
4C22×#66885C211yesmaximal, characteristic, complemented
5#13071208C211yesmaximal, characteristic, complemented
6#13069707C212yesmaximal, complemented
7#13069702C212yesmaximal, complemented
8#13069690C212yesmaximal, complemented
9#13069685C212yesmaximal, complemented
10#13068312C211yesmaximal, characteristic, complemented
11C22×C11×#135C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×C11×#41C2211yescharacteristic
14C23×D44C2211yescharacteristic
15C2×C11×#135—24no—
16C2×C11×#135—24no—
17C2×C11×#135—24no—
18C22×C11×Q16C2211yescharacteristic, complemented
19C22×C11×SD16C2211yescharacteristic, complemented
20C22×C11×SD16C2211yescharacteristic, complemented
21C22×C11×D8C2211yescharacteristic, complemented
22C23×C8×C11C2211yescharacteristic
23#10623361—24no—
24#10623361—24no—
25C2×#67002—24no—
26C2×#67002—24no—
27C2×#67002—24no—
28C2×#67000C2212yes—
29C22×#4325C2212yes—
30C2×#66993C2212yes—
31C2×#66990—22no—
32C22×#4323C2212yes—
33C2×#66983—22no—
34C2×#66979C2211yescharacteristic
35C22×C4⋊Dic11C2211yescharacteristic
36C22×#4318C2211yescharacteristic
37#10622845—24no—
38#10622843C2212yescomplemented
39C2×#66899C2212yescomplemented
40#10622834C2212yescomplemented
41#10622833—22no—
42C2×#66896C2212yescomplemented
43#10622825—22no—
44C2×#66885—24no—
45C2×#66885C2212yes—
46C2×#66885C2212yes—
47#10622188C2212yescomplemented
48#10622188C2212yescomplemented
49C24×D11—21no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—22no—
54C2×C11×#41—22no—
55C2×C11×#41—22no—
56C2×C11×#41—22no—
57C2×C11×#41—22no—
58C2×C11×#41—22no—
59C2×C11×#41—22no—
60C2×C11×#41D414yes—
61C2×C11×#41D414yescomplemented
62C22×Q8×C11C2311yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11C2311yescharacteristic
67C22×D4×C11C2311yescharacteristic
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11—24no—
72C23×Dic11—21no—
73C22×D44—22no—
74C22×D44—22no—
75C22×D44—22no—
76C22×D44—22no—
77C22×D44—21no—
78C22×D44—22no—
79C22×D44D414yes—
80C22×D44C2312yes—
81C11×#135—232no—
82C2×C11×Q16—22no—
83C2×C11×Q16—22no—
84C2×C11×Q16—22no—
85C2×C11×SD16—22no—
86C2×C11×SD16—22no—
87C2×C11×SD16—22no—
88C2×C11×SD16—22no—
89C2×C11×SD16—22no—
90C2×C11×SD16—22no—
91C2×C11×D8—22no—
92C2×C11×D8—22no—
93C2×C11×D8—22no—
94C22×C8×C11—22no—
95C22×C8×C11—22no—
96C22×C8×C11D414yescomplemented
97C22×C8×C11C2311yescharacteristic
98C22×C8×C11C2311yescharacteristic
99C2×C22⋊Dic11—24no—
100C2×C22⋊Dic11D412yes—
101#67002—232no—
102#67000—24no—
103#67000—24no—
104C2×#4325—24no—
105C2×#4325—24no—
106C2×#4325—24no—
107#66993—24no—
108#66993—24no—
109#66990—216no—
110C2×#4323—24no—
111C2×#4323—24no—
112C2×#4323—24no—
113#66983—216no—
114C2×(C2×D11)⋊C4—24no—
115#66979—22no—
116#66979—22no—
117C2×C4⋊Dic11—22no—
118C2×C4⋊Dic11—22no—
119C2×C4⋊Dic11—21no—
120C2×C4⋊Dic11D412yes—
121C2×C4⋊Dic11C2312yes—
122C2×C4×Dic11C2312yes—
123C2×#4318—22no—
124C2×#4318—22no—
125C2×#4318D414yescomplemented
126C22×C11⋊C8C2312yes—
127#66899—24no—
128#66896—24no—
129C11⋊#95—24no—
130#66885—24no—
131#66885—24no—
132#23426—111nomaximal, Sylow
133C24×C11—21no—
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C23×D11—22no—
137C23×D11—24no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—82no—
141C23×D11—82no—
142C11×#41—28no—
143C11×#41—28no—
144C11×#41—28no—
145C11×#41—28no—
146C11×#41—44no—
147C11×#41—44no—
148C11×#41—44no—
149C11×#41—44no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11C2×D412yes—
161C2×Q8×C11C2×D412yes—
162C2×D4×C11—24no—
163C2×D4×C11—24no—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11—21no—
171C2×D4×C11—21no—
172C2×D4×C11—21no—
173C2×D4×C11—21no—
174C2×D4×C11—42no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11—42no—
178C2×D4×C11C2×D412yes—
179C2×D4×C11C2×D412yes—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—24no—
183C22×C4×C11—24no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11—42no—
187C22×C4×C11—42no—
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D412yes—
194C22×C4×C11#4112yes—
195C22×C4×C11C2411yescharacteristic
196C2×C22⋊D11—216no—
197C2×C22⋊D11—84no—
198C2×C22⋊D11—84no—
199C22×Dic11—22no—
200C22×Dic11—42no—
201C22×Dic11—82no—
202C22×Dic11C2×D414yes—
203C2×D44—24no—
204C2×D44—28no—
205C2×D44—28no—
206C2×D44—22no—
207C2×D44—22no—
208C2×D44—22no—
209C2×D44—22no—
210C2×D44—22no—
211C2×D44—44no—
212C2×D44—44no—
213C2×D44—42no—
214C2×D44—42no—
215C2×D44C2×D414yes—
216C11×Q16—28no—
217C11×SD16—28no—
218C11×SD16—28no—
219C11×D8—28no—
220C2×C8×C11—28no—
221C2×C8×C11—21no—
222C2×C8×C11—21no—
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11C2×D412yes—
226C2×C8×C11C2×D412yes—
227C22⋊Dic11—24no—
228C22⋊Dic11—84no—
229#4325—216no—
230#4323—216no—
231(C2×D11)⋊C4—216no—
232C4⋊Dic11—24no—
233C4⋊Dic11—22no—
234C4⋊Dic11—22no—
235C4⋊Dic11—42no—
236C4×Dic11—22no—
237C4×Dic11—22no—
238#4318—28no—
239C2×C11⋊C8—22no—
240C2×C11⋊C8—22no—
241C2×C11⋊C8C2×D414yes—
242C22×AGL(1,ℤ/8)—111no—
243C22×#135D1111yescharacteristic, complemented
244C2×#535—111no—
245C2×#417—111no—
246C22×#102—111no—
247#2311—111no—
248#2015—112no—
249#2014—112no—
250#2012—112no—
251#2011—112no—
252#1729—111no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11#12012yes—
266C23×C11#12112yes—
267C23×C11#12712yes—
268C23×C11C22×D411yescharacteristic
269C22×D11—24no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11—48no—
275C22×D11—88no—
276C22×D11—84no—
277C22×D11—84no—
278C22×D11—88no—
279Q8×C11—22no—
280Q8×C11—22no—
281Q8×C11—22no—
282Q8×C11—22no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—41no—
287D4×C11—22no—
288D4×C11—22no—
289D4×C11—22no—
290D4×C11—22no—
291D4×C11—48no—
292D4×C11—48no—
293D4×C11—41no—
294D4×C11—41no—
295D4×C11—41no—
296D4×C11—41no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—48no—
304C2×C4×C11—48no—
305C2×C4×C11#12014yes—
306C2×C4×C11#12012yes—
307C2×C4×C11#12014yes—
308C2×C4×C11#12114yes—
309C2×C4×C11#12114yes—
310C2×C4×C11#12112yes—
311C2×C4×C11#12712yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C22×D411yescharacteristic
316C2×C4×C11C22×D411yescharacteristic
317C2×C4×C11C2×#4111yescharacteristic
318C22⋊D11—816no—
319C2×Dic11—24no—
320C2×Dic11—24no—
321C2×Dic11—24no—
322C2×Dic11—42no—
323C2×Dic11—44no—
324C2×Dic11—84no—
325D44—24no—
326D44—24no—
327D44—42no—
328D44—42no—
329D44—48no—
330C8×C11—22no—
331C8×C11—22no—
332C11⋊C8—24no—
333C22×#41C2×D1111yescharacteristic
334C22×#41C2×D1111yescharacteristic
335C23×D4—111no—
336C2×AGL(1,ℤ/8)—224no—
337C2×AGL(1,ℤ/8)—224no—
338C2×AGL(1,ℤ/8)—224no—
339C2×#135—24no—
340C2×#135—24no—
341C2×#135—24no—
342C22×Q16C2×D1111yescharacteristic, complemented
343C22×SD16—112no—
344C22×SD16C2×D1111yescharacteristic, complemented
345C22×SD16C2×D1111yescharacteristic, complemented
346C22×D8—112no—
347C22×D8C2×D1111yescharacteristic, complemented
348C22×M16—111no—
349C23×C8C2×D1111yescharacteristic
350#535—224no—
351#535—224no—
352C2×#127—112no—
353C2×#124—112no—
354C2×#121—222no—
355C2×#120—222no—
356C2×#117—111no—
357C22×C4⋊C4—111no—
358#417—224no—
359C2×#103—112no—
360C2×#102—112no—
361C2×#102—112no—
362C2×#102—112no—
363C2×#102—224no—
364#391—112no—
365#390—112no—
366#386—222no—
367#380—222no—
368#336—112no—
369#336—112no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—24no—
373C22×C11—24no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—44no—
377C22×C11—44no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—82no—
383C22×C11—82no—
384C22×C11#39214yes—
385C22×C11C2×#12011yescharacteristic
386C22×C11C2×#12111yescharacteristic
387C22×C11C2×#12711yescharacteristic
388C22×C11#57612yes—
389C22×C11#57712yes—
390C2×D11—44no—
391C2×D11—48no—
392C2×D11—816no—
393C2×D11—82no—
394C2×D11—82no—
395C2×D11—84no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11#39214yes—
399C4×C11C2×#12011yescharacteristic
400C4×C11C2×#12011yescharacteristic
401C4×C11C2×#12111yescharacteristic
402C4×C11C2×#12111yescharacteristic
403Dic11—44no—
404Dic11—82no—
405C25—221no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—22no—
415C2×#41—22no—
416C2×#41C22⋊D1114yes—
417C2×#41C22⋊D1114yescomplemented
418C22×Q8C22×D1111yescharacteristic
419C22×Q8C22×D1111yescharacteristic
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—114no—
423C22×D4—112no—
424C22×D4—224no—
425C22×D4—222no—
426C22×D4—221no—
427C22×D4—222no—
428C22×D4—222no—
429C22×D4—222no—
430C22×D4—222no—
431C22×D4C22×D1111yescharacteristic
432C22×D4C22×D1111yescharacteristic
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—221no—
436C23×C4C22×D1111yescharacteristic
437AGL(1,ℤ/8)—2232no—
438#135—232no—
439C2×Q16—22no—
440C2×Q16—22no—
441C2×Q16—22no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16—22no—
445C2×SD16—22no—
446C2×SD16—22no—
447C2×SD16—22no—
448C2×SD16—224no—
449C2×SD16—224no—
450C2×SD16—224no—
451C2×D8—22no—
452C2×D8—22no—
453C2×D8—22no—
454C2×D8—224no—
455C2×D8—224no—
456C2×D8—224no—
457C2×M16—114no—
458C2×M16—222no—
459C2×M16—222no—
460C22×C8—22no—
461C22×C8—22no—
462C22×C8—112no—
463C22×C8C22⋊D1114yescomplemented
464C22×C8C22×D1111yescharacteristic
465C22×C8C22×D1111yescharacteristic
466#127—224no—
467#127—224no—
468#124—224no—
469#124—224no—
470#121—2216no—
471#120—2216no—
472#117—222no—
473#117—222no—
474C2×C4⋊C4—112no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—222no—
477C2×C4⋊C4—222no—
478C2×C4⋊C4—221no—
479C2×C22⋊C4—112no—
480C2×C22⋊C4—224no—
481C2×C22⋊C4—224no—
482C2×C42—112no—
483#103—224no—
484#102—224no—
485#102—224no—
486#102—224no—
487#95—224no—
488C2×C11—24no—
489C2×C11—82no—
490C2×C11—82no—
491C2×C11C2×#39211yescharacteristic
492C2×C11#301212yes—
493C2×C11#304512yes—
494C2×C11#315411yescharacteristic
495C2×C11#315511yescharacteristic
496D11—84no—
497C24—21no—
498C24—21no—
499C24—222no—
500C24—224no—
501C24—442no—
502C24—442no—
503C24—882no—
504C24—882no—
505C24D4×D1111yescharacteristic
506#41—28no—
507#41—28no—
508#41—28no—
509#41—28no—
510#41—44no—
511#41—44no—
512#41—44no—
513#41—44no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8C2×C22⋊D1112yes—
525C2×Q8C2×C22⋊D1112yes—
526C2×D4—24no—
527C2×D4—24no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—114no—
543C2×D4—2216no—
544C2×D4—228no—
545C2×D4—224no—
546C2×D4—228no—
547C2×D4—222no—
548C2×D4—222no—
549C2×D4—222no—
550C2×D4—222no—
551C2×D4—222no—
552C2×D4—444no—
553C2×D4—442no—
554C2×D4—442no—
555C2×D4—444no—
556C2×D4—884no—
557C2×D4—884no—
558C2×D4C2×C22⋊D1112yes—
559C2×D4C2×C22⋊D1112yes—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—24no—
563C22×C4—24no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—114no—
569C22×C4—222no—
570C22×C4—442no—
571C22×C4—882no—
572C22×C4D4×D1112yes—
573C22×C4D4×D1111yescharacteristic
574C22×C4D4×D1112yes—
575C22×C4#434112yes—
576C22×C4C2×C22⋊D1112yes—
577C22×C4C2×C22⋊D1112yes—
578C22×C4C2×C22⋊D1112yes—
579C22×C4C23×D1111yescharacteristic
580Q16—28no—
581SD16—28no—
582SD16—28no—
583SD16—2216no—
584D8—28no—
585D8—2216no—
586M16—228no—
587C2×C8—28no—
588C2×C8—21no—
589C2×C8—21no—
590C2×C8—21no—
591C2×C8—21no—
592C2×C8—114no—
593C2×C8—222no—
594C2×C8—222no—
595C2×C8C2×C22⋊D1112yes—
596C2×C8C2×C22⋊D1112yes—
597C4⋊C4—224no—
598C4⋊C4—222no—
599C4⋊C4—222no—
600C4⋊C4—442no—
601C22⋊C4—2216no—
602C22⋊C4—224no—
603C22⋊C4—884no—
604C42—222no—
605C42—222no—
606C11#2342611yescharacteristic, complemented, Sylow
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—224no—
620C23—444no—
621C23—444no—
622C23—442no—
623C23—442no—
624C23—448no—
625C23—888no—
626C23—884no—
627C23—884no—
628C23—888no—
629C23#6699012yes—
630C23#6699212yes—
631C23#6699312yes—
632C23C2×D4×D1111yescharacteristic
633Q8—22no—
634Q8—22no—
635Q8—22no—
636Q8—22no—
637Q8—41no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641D4—22no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—48no—
646D4—48no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—41no—
651D4—224no—
652D4—224no—
653D4—442no—
654D4—448no—
655D4—442no—
656D4—8816no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—48no—
664C2×C4—48no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—444no—
669C2×C4—442no—
670C2×C4—884no—
671C2×C4#6699014yes—
672C2×C4#6699012yes—
673C2×C4#6699114yes—
674C2×C4#6699214yes—
675C2×C4#6699212yes—
676C2×C4#6699312yes—
677C2×C4#6700614yes—
678C2×C4C2×D4×D1111yescharacteristic
679C2×C4C2×D4×D1111yescharacteristic
680C2×C4C2×#434111yescharacteristic
681C2×C4C22×C22⋊D1111yescharacteristic
682C2×C4C22×C22⋊D1111yescharacteristic
683C2×C4C22×C22⋊D1111yescharacteristic
684C8—22no—
685C8—22no—
686C8—224no—
687C22—22no—
688C22—22no—
689C22—24no—
690C22—24no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—82no—
701C22—448no—
702C22—444no—
703C22—8816no—
704C22—882no—
705C22—882no—
706C22—884no—
707C22#1062283614yes—
708C22#1062330012yes—
709C22#1062330112yes—
710C22C2×#6699011yescharacteristic
711C22C2×#6699211yescharacteristic
712C22C2×#6699311yescharacteristic
713C4—42no—
714C4—42no—
715C4—444no—
716C4—882no—
717C4#1062283614yes—
718C4C2×#6699011yescharacteristic
719C4C2×#6699111yescharacteristic
720C4C2×#6699211yescharacteristic
721C4C2×#6700611yescharacteristic
722C2—24no—
723C2—82no—
724C2—82no—
725C2—884no—
726C2C2×#1062283611yescharacteristic
727C2#1307791612yes—
728C2#1307815312yes—
729C2#1307909311yescharacteristic
730C2#1307910311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#135C2
socleC23×C11C22×D4
hypercenterC22×#135D11
hypocenterC11#23426
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#135

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C2×#10623361C2semidirect
3. C2×#10622845C2semidirect
4. C22×#66885C2semidirect
5. #13071208C2semidirect
6. #13069707C2semidirect
7. #13069702C2semidirect
8. #13069690C2semidirect
9. #13069685C2semidirect
10. #13068312C2semidirect
11. C22×C11×#135C2semidirect
18. C22×C11×Q16C22semidirect
19. C22×C11×SD16C22semidirect
20. C22×C11×SD16C22semidirect
21. C22×C11×D8C22semidirect
38. #10622843C22semidirect
39. C2×#66899C22semidirect
40. #10622834C22semidirect
42. C2×#66896C22semidirect
47. #10622188C22semidirect
48. #10622188C22semidirect
61. C2×C11×#41D4semidirect
96. C22×C8×C11D4semidirect
125. C2×#4318D4semidirect
243. C22×#135D11semidirect
342. C22×Q16C2×D11semidirect
344. C22×SD16C2×D11semidirect
345. C22×SD16C2×D11semidirect
347. C22×D8C2×D11semidirect
417. C2×#41C22⋊D11semidirect
463. C22×C8C22⋊D11semidirect
606. C11#23426semidirect

Maximal subgroups

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

subgroupindex
C22×#670022
C2×#106233612
C2×#106228452
C22×#668852
#130712082
#130697072
#130697022
#130696902
#130696852
#130683122
C22×C11×#1352
#2342611