Finite Group Databasebeta

← #72271783

Subgroups — #72271783

Order 1536.

2234 conjugacy classes of subgroups.

The subgroup lattice has 812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11664503C211yesmaximal, characteristic
2#10792693C212yesmaximal, complemented
3#10704134C212yesmaximal, complemented
4#10701778C211yesmaximal, characteristic
5#10701612C212yesmaximal, complemented
6#10701600C212yesmaximal, complemented
7#10701593C212yesmaximal, complemented
8#10701581C212yesmaximal, complemented
9C3×#10989C211yesmaximal, characteristic
10#375718—31nomaximal, Sylow
11C2×C3×#535C2211yescharacteristic
12#85725C2211yescharacteristic
13C2×C3×#421C2212yes—
14C22×C3×#100C2211yescharacteristic
15C3×#2309C2211yescharacteristic
16C2×#5240C2211yescharacteristic
17#84074C2211yescharacteristic
18#84072C2212yes—
19C2×#5215C2212yes—
20C2×#5215C2212yes—
21#83747C2212yes—
22#83380—28no—
23#83159C414yescomplemented
24#82939C414yescomplemented
25#82202C2212yes—
26#82202C2211yescharacteristic
27C2×C3×H(3,ℤ/4)C2212yes—
28C2×#4559C2212yes—
29C2×C3⋊#338C2212yes—
30#71982C2212yes—
31#71592C2212yes—
32C2×#4531C2212yes—
33C2×#4531C2212yes—
34C2×#4531C2212yes—
35#68697—28no—
36#60619—31no—
37#20370—32no—
38#11389—32no—
39#10989D311yescharacteristic
40#10987—31no—
41#10953—32no—
42#10951—32no—
43#10950—32no—
44#10948—32no—
45C22×C3×#41C2311yescharacteristic
46C23×C3×D4C2311yescharacteristic
47C22×C3×M16C2312yes—
48C3×#535—24no—
49C3×#535—42no—
50C2×C3×#127C2×C412yes—
51C2×C3×#124C2×C412yes—
52C2×C3×#121—41no—
53C2×C3×#120—41no—
54C2×C3×#117C2311yescharacteristic
55C2×C3×#117C2312yes—
56C2×#926C2312yes—
57C2×#926C2312yes—
58C22×#208C2312yes—
59C22×#208C2312yes—
60#5519—24no—
61#5517—42no—
62#5500—41no—
63#5483—41no—
64#5470C2×C414yes—
65C3×#421—24no—
66C3×#421—42no—
67C2×C3×#104—24no—
68C2×C3×#100—24no—
69C2×C3×#100—41no—
70C3×#390—24no—
71C3×#379—41no—
72#5240—24no—
73#5234—24no—
74#5233—24no—
75#5232—24no—
76#5225C2×C414yes—
77C2×#834—41no—
78#5215—24no—
79#5215—24no—
80#5215—42no—
81#5215C2×C418yes—
82#5215C2×C414yes—
83C2×#832—24no—
84C2×#832—24no—
85#5207—41no—
86#5122—24no—
87Dic3×M16—24no—
88#5101—24no—
89#5071—28no—
90#5070—28no—
91#5056—28no—
92#5055—28no—
93#4997—24no—
94#4997—24no—
95#4997D418yes—
96C4×#208—24no—
97C4×#208C2×C414yes—
98C3×H(3,ℤ/4)—24no—
99C3⋊#338—24no—
100#4559—42no—
101#4555—42no—
102#4531—24no—
103#4531—24no—
104#4531—42no—
105#4526—42no—
106#3458—31no—
107C2×#535C2×D311yescharacteristic
108#3140—34no—
109#3138—34no—
110#3136—68no—
111C2×#421C2×D312yes—
112#2896—32no—
113C2×#418—32no—
114C2×#418—32no—
115C22×#100C2×D311yescharacteristic
116C2×#410—31no—
117#2879—31no—
118#2873—32no—
119#2873—31no—
120#2873—32no—
121#2309C2×D311yescharacteristic
122#1747—68no—
123C2×#344—32no—
124#1740—32no—
125#1733—32no—
126C2×#338—32no—
127C2×H(3,ℤ/4)—32no—
128C2×H(3,ℤ/4)—32no—
129C2×H(3,ℤ/4)—32no—
130C2×H(3,ℤ/4)C2×D312yes—
131C25×C3—21no—
132C2×C3×#41—22no—
133C2×C3×#41—22no—
134C2×C3×#41—22no—
135C2×C3×#41—22no—
136C2×C3×#41—22no—
137C2×C3×#41—22no—
138C22×C3×Q8C22×C411yescharacteristic
139C22×C3×D4—21no—
140C22×C3×D4—22no—
141C22×C3×D4—22no—
142C22×C3×D4—22no—
143C22×C3×D4—22no—
144C22×C3×D4—22no—
145C22×C3×D4—22no—
146C22×C3×D4—21no—
147C22×C3×D4—42no—
148C22×C3×D4C22×C412yes—
149C22×C3×D4C22×C411yescharacteristic
150C23×C3×C4—21no—
151C23×C3×C4C2411yescharacteristic
152C2×C3×M16—22no—
153C2×C3×M16—22no—
154C2×C3×M16—22no—
155C2×C3×M16—22no—
156C2×C3×M16—22no—
157C2×C3×M16#4114yes—
158C22×C3×C8—22no—
159C3×#127—24no—
160C3×#127—42no—
161C3×#124—24no—
162C3×#124—42no—
163C3×#121—48no—
164C3×#120—48no—
165C3×#117—22no—
166C3×#117—22no—
167C3×#117—22no—
168C3×#117—22no—
169C3×#117—22no—
170C3×#117C2×D414yes—
171C2×C3×C4⋊C4—21no—
172C2×C3×C4⋊C4—22no—
173C2×C3×C22⋊C4—21no—
174C2×C3×C22⋊C4—22no—
175C2×C3×C22⋊C4—42no—
176C2×C3×C22⋊C4—44no—
177C2×C3×C42C22×C412yes—
178C2×C3×C42#4114yes—
179C2×#217—22no—
180C2×#217—22no—
181#926—22no—
182#926—22no—
183#926—22no—
184#926—22no—
185#926—22no—
186#926—22no—
187#926C22×C414yes—
188#926#4114yes—
189C2×C4⋊Dic3—22no—
190C2×C4⋊Dic3—22no—
191#924—44no—
192C2×C4×Dic3—22no—
193C2×C4×Dic3—22no—
194C2×#208—22no—
195C2×#208—22no—
196C2×#208—22no—
197C2×#208—22no—
198C2×#208—22no—
199C2×#208—22no—
200C2×#208—22no—
201C2×#208—22no—
202C2×#208—22no—
203C2×#208—22no—
204C2×#208C22×C414yes—
205C2×#208C2×D414yes—
206C22×C3⋊C8C2×D414yes—
207C22×C3⋊C8#4114yes—
208#890—44no—
209#888—44no—
210#878—48no—
211#870—24no—
212#869—24no—
213C4×Dic6—44no—
214C3×#104—48no—
215C3×#100—44no—
216#835—28no—
217#834—44no—
218#832—216no—
219#832—28no—
220#832—48no—
221#830—44no—
222#815—28no—
223C8×Dic3—28no—
224#803—28no—
225#803C22⋊C418yescomplemented
226C4×C3⋊C8—28no—
227C4×C3⋊C8C22⋊C418yescomplemented
228C22×#41C22×D311yescharacteristic
229C23×D4C22×D311yescharacteristic
230C22×M16—32no—
231C22×M16—32no—
232C22×M16C22×D312yes—
233#544—64no—
234#544—121no—
235#543—121no—
236#535—24no—
237#535—42no—
238#533—34no—
239#533—122no—
240C2×#127C4×D312yes—
241C2×#124C4×D312yes—
242C2×#121—41no—
243C2×#120—41no—
244C2×#117—32no—
245C2×#117—32no—
246C2×#117C22×D311yescharacteristic
247C2×#117C22×D312yes—
248#490—68no—
249#489—68no—
250#488—68no—
251#486—68no—
252#421—24no—
253#421—42no—
254C2×#104—24no—
255#419—34no—
256#418—34no—
257#418—38no—
258#418—64no—
259#418—64no—
260#418—122no—
261#417—64no—
262#416—64no—
263C2×#102—64no—
264C2×#102—64no—
265C2×#100—24no—
266C2×#100—41no—
267#410—64no—
268C2×#99—121no—
269#408—64no—
270#407—121no—
271#405—38no—
272#405—64no—
273#405—64no—
274#405—64no—
275#405—64no—
276C4×M16—34no—
277C4×M16—64no—
278C4×M16—64no—
279#390—24no—
280#379—41no—
281#344—122no—
282#342—122no—
283#339—122no—
284#338—64no—
285H(3,ℤ/4)—24no—
286H(3,ℤ/4)—64no—
287H(3,ℤ/4)—64no—
288H(3,ℤ/4)—122no—
289C24×C3—22no—
290C24×C3—21no—
291C24×C3—41no—
292C24×C3—42no—
293C24×C3—41no—
294C24×C3—42no—
295C24×C3—162no—
296C24×C3H(5,𝔽2)11yescharacteristic
297C3×#41—42no—
298C3×#41—42no—
299C3×#41—42no—
300C3×#41—42no—
301C3×#41—42no—
302C3×#41—42no—
303C3×#41—42no—
304C3×#41—42no—
305C2×C3×Q8—21no—
306C2×C3×Q8—22no—
307C2×C3×Q8—22no—
308C2×C3×Q8—21no—
309C2×C3×D4—22no—
310C2×C3×D4—21no—
311C2×C3×D4—24no—
312C2×C3×D4—24no—
313C2×C3×D4—22no—
314C2×C3×D4—22no—
315C2×C3×D4—22no—
316C2×C3×D4—21no—
317C2×C3×D4—48no—
318C2×C3×D4—42no—
319C2×C3×D4—41no—
320C2×C3×D4—41no—
321C2×C3×D4—42no—
322C2×C3×D4—42no—
323C2×C3×D4—42no—
324C2×C3×D4—42no—
325C2×C3×D4—42no—
326C2×C3×D4—42no—
327C2×C3×D4—42no—
328C2×C3×D4—42no—
329C2×C3×D4—41no—
330C2×C3×D4—41no—
331C2×C3×D4—42no—
332C2×C3×D4—42no—
333C2×C3×D4—42no—
334C2×C3×D4—164no—
335C22×C3×C4—22no—
336C22×C3×C4—21no—
337C22×C3×C4—24no—
338C22×C3×C4—42no—
339C22×C3×C4—41no—
340C22×C3×C4—41no—
341C22×C3×C4—42no—
342C22×C3×C4C23×C411yescharacteristic
343C22×C3×C4C22×D412yes—
344C22×C3×C4C2×#4112yes—
345C22×C3×C4C2×#4112yes—
346C22×C3×C4C2×#4112yes—
347C22×C3×C4C2×#4112yes—
348C22×C3×C4H(5,𝔽2)12yes—
349C22×C3×C4H(5,𝔽2)11yescharacteristic
350C22×Dic3—42no—
351C22×Dic3—42no—
352C2×Dic6—44no—
353C3×M16—24no—
354C3×M16—24no—
355C3×M16—42no—
356C3×M16—42no—
357C2×C3×C8—24no—
358C2×C3×C8—42no—
359C2×C3×C8—42no—
360C3×C4⋊C4—24no—
361C3×C4⋊C4—42no—
362C3×C4⋊C4—42no—
363C3×C22⋊C4—24no—
364C3×C22⋊C4—48no—
365C3×C22⋊C4—42no—
366C3×C22⋊C4—42no—
367C3×C22⋊C4—164no—
368C3×C42—22no—
369C3×C42—24no—
370C3×C42—24no—
371C3×C42C2×C22⋊C414yes—
372#217—24no—
373#217—24no—
374#217—42no—
375#217—42no—
376C4⋊Dic3—24no—
377C4⋊Dic3—24no—
378C4⋊Dic3—44no—
379C4⋊Dic3—42no—
380C4⋊Dic3—42no—
381Dic3⋊C4—48no—
382C4×Dic3—24no—
383C4×Dic3—24no—
384C4×Dic3—42no—
385C4×Dic3—42no—
386#208—24no—
387#208—24no—
388#208—24no—
389#208—24no—
390#208—42no—
391#208—42no—
392#208—42no—
393#208—42no—
394C2×C3⋊C8—24no—
395C2×C3⋊C8—24no—
396C2×C3⋊C8—24no—
397C2×C3⋊C8—24no—
398C2×C3⋊C8—24no—
399C2×C3⋊C8C2×C22⋊C418yes—
400C25—21no—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C22×Q8C2×C4×D311yescharacteristic
408C22×D4—21no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—21no—
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—42no—
417C22×D4C2×C4×D312yes—
418C22×D4C2×C4×D311yescharacteristic
419C23×C4—21no—
420C23×C4C23×D311yescharacteristic
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C2×M16—34no—
427C2×M16—34no—
428C2×M16—62no—
429C2×M16—62no—
430C2×M16—62no—
431C2×M16—62no—
432C2×M16—62no—
433C2×M16—62no—
434C2×M16—62no—
435C2×M16—62no—
436C2×M16—62no—
437C2×M16—62no—
438C2×M16#23714yes—
439C22×C8—22no—
440C22×C8—34no—
441C22×C8—34no—
442C4⋊Q8—64no—
443C4⋊Q8—124no—
444#127—24no—
445#127—42no—
446#125—64no—
447#125—124no—
448#124—24no—
449#124—42no—
450C22⋊Q8—128no—
451C22⋊Q8—124no—
452#121—48no—
453#120—48no—
454C4×Q8—124no—
455#117—22no—
456#117—22no—
457#117—22no—
458#117—22no—
459#117—22no—
460#117—34no—
461#117—34no—
462#117—62no—
463#117—62no—
464#117—62no—
465#117—62no—
466#117—62no—
467#117—62no—
468#117D3×D414yes—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—62no—
472C2×C4⋊C4—62no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—42no—
476C2×C22⋊C4—44no—
477C2×C22⋊C4—62no—
478C2×C22⋊C4—62no—
479C2×C42—62no—
480C2×C42—62no—
481C2×C42C2×C4×D312yes—
482C2×C42#23714yes—
483#104—48no—
484#103—68no—
485#102—616no—
486#102—68no—
487#102—128no—
488#100—44no—
489#99—124no—
490C22⋊C8—124no—
491#97—38no—
492#97—68no—
493#97—68no—
494C4×C8—38no—
495C4×C8—68no—
496C4×C8—68no—
497C23×C3—42no—
498C23×C3—41no—
499C23×C3—41no—
500C23×C3—42no—
501C23×C3—41no—
502C23×C3—42no—
503C23×C3—81no—
504C23×C3—82no—
505C23×C3—84no—
506C23×C3—84no—
507C23×C3—82no—
508C23×C3—82no—
509C23×C3—162no—
510C23×C3—164no—
511C23×C3—164no—
512C23×C3#51811yescharacteristic
513C23×C3#53512yes—
514C23×C3#55111yescharacteristic
515C23×C3#55111yescharacteristic
516C23×C3#55512yes—
517C3×Q8—42no—
518C3×Q8—42no—
519C3×D4—44no—
520C3×D4—42no—
521C3×D4—44no—
522C3×D4—42no—
523C3×D4—82no—
524C3×D4—82no—
525C3×D4—82no—
526C3×D4—82no—
527C3×D4—168no—
528C2×C3×C4—24no—
529C2×C3×C4—41no—
530C2×C3×C4—44no—
531C2×C3×C4—41no—
532C2×C3×C4—41no—
533C2×C3×C4—82no—
534C2×C3×C4—82no—
535C2×C3×C4—82no—
536C2×C3×C4—84no—
537C2×C3×C4C22×C22⋊C411yescharacteristic
538C2×C3×C4C4×#4112yes—
539C2×C3×C4C4×#4112yes—
540C2×C3×C4#51811yescharacteristic
541C2×C3×C4#52512yes—
542C2×C3×C4#52512yes—
543C2×C3×C4#53212yes—
544C2×C3×C4#53212yes—
545C2×C3×C4#53512yes—
546C2×C3×C4#55111yescharacteristic
547C2×C3×C4#55112yes—
548C2×C3×C4#55111yescharacteristic
549C2×C3×C4#55112yes—
550C2×C3×C4#55512yes—
551C2×C3×C4#55512yes—
552C2×C3×C4#55512yes—
553C2×Dic3—44no—
554C2×Dic3—44no—
555C2×Dic3—162no—
556C2×Dic3—162no—
557Dic6—164no—
558C3×C8—44no—
559C3⋊C8—28no—
560C3⋊C8—44no—
561C24—22no—
562C24—21no—
563C24—41no—
564C24—41no—
565C24—42no—
566C24—42no—
567C24—162no—
568C24#100411yescharacteristic
569#41—42no—
570#41—42no—
571#41—42no—
572#41—42no—
573#41—42no—
574#41—42no—
575#41—42no—
576#41—42no—
577C2×Q8—21no—
578C2×Q8—21no—
579C2×Q8—22no—
580C2×Q8—22no—
581C2×Q8—124no—
582C2×D4—22no—
583C2×D4—21no—
584C2×D4—22no—
585C2×D4—21no—
586C2×D4—24no—
587C2×D4—24no—
588C2×D4—22no—
589C2×D4—22no—
590C2×D4—48no—
591C2×D4—41no—
592C2×D4—41no—
593C2×D4—42no—
594C2×D4—42no—
595C2×D4—42no—
596C2×D4—41no—
597C2×D4—42no—
598C2×D4—42no—
599C2×D4—42no—
600C2×D4—41no—
601C2×D4—42no—
602C2×D4—42no—
603C2×D4—42no—
604C2×D4—42no—
605C2×D4—42no—
606C2×D4—42no—
607C2×D4—164no—
608C22×C4—22no—
609C22×C4—21no—
610C22×C4—24no—
611C22×C4—41no—
612C22×C4—41no—
613C22×C4—42no—
614C22×C4—42no—
615C22×C4—122no—
616C22×C4—122no—
617C22×C4C22×C4×D311yescharacteristic
618C22×C4C2×D3×D412yes—
619C22×C4C2×#23712yes—
620C22×C4C2×#23712yes—
621C22×C4#100412yes—
622C22×C4#100411yescharacteristic
623C22×C4D3×#4112yes—
624C22×C4D3×#4112yes—
625M16—24no—
626M16—24no—
627M16—42no—
628M16—42no—
629M16—64no—
630M16—64no—
631M16—64no—
632M16—64no—
633M16—122no—
634M16—122no—
635M16—122no—
636M16—122no—
637C2×C8—24no—
638C2×C8—38no—
639C2×C8—42no—
640C2×C8—42no—
641C2×C8—64no—
642C2×C8—64no—
643C2×C8—64no—
644C2×C8—64no—
645C2×C8—64no—
646C4⋊C4—24no—
647C4⋊C4—42no—
648C4⋊C4—42no—
649C4⋊C4—64no—
650C4⋊C4—64no—
651C4⋊C4—128no—
652C4⋊C4—124no—
653C4⋊C4—122no—
654C4⋊C4—122no—
655C22⋊C4—24no—
656C22⋊C4—48no—
657C22⋊C4—42no—
658C22⋊C4—42no—
659C22⋊C4—64no—
660C22⋊C4—64no—
661C22⋊C4—122no—
662C22⋊C4—122no—
663C22⋊C4—164no—
664C42—22no—
665C42—24no—
666C42—24no—
667C42—64no—
668C42—64no—
669C42—122no—
670C42—122no—
671C42D3×C22⋊C414yes—
672C22×C3—42no—
673C22×C3—42no—
674C22×C3—41no—
675C22×C3—41no—
676C22×C3—41no—
677C22×C3—82no—
678C22×C3—84no—
679C22×C3—82no—
680C22×C3—84no—
681C22×C3—81no—
682C22×C3—82no—
683C22×C3—161no—
684C22×C3—162no—
685C22×C3—164no—
686C22×C3—164no—
687C22×C3#230911yescharacteristic
688C22×C3#237211yescharacteristic
689C22×C3#237211yescharacteristic
690C22×C3#261012yes—
691C22×C3#261012yes—
692C3×C4—44no—
693C3×C4—84no—
694C3×C4—81no—
695C3×C4#229712yes—
696C3×C4#237212yes—
697C3×C4#261012yes—
698C3×C4#261012yes—
699Dic3—84no—
700Dic3—84no—
701C23—42no—
702C23—41no—
703C23—41no—
704C23—42no—
705C23—41no—
706C23—42no—
707C23—81no—
708C23—82no—
709C23—84no—
710C23—84no—
711C23—82no—
712C23—82no—
713C23—164no—
714C23—162no—
715C23—164no—
716C23#548611yescharacteristic
717C23#558711yescharacteristic
718C23#559212yes—
719C23#561612yes—
720C23#565911yescharacteristic
721Q8—42no—
722Q8—42no—
723Q8—484no—
724D4—44no—
725D4—42no—
726D4—44no—
727D4—42no—
728D4—82no—
729D4—82no—
730D4—82no—
731D4—82no—
732D4—168no—
733C2×C4—24no—
734C2×C4—41no—
735C2×C4—44no—
736C2×C4—41no—
737C2×C4—41no—
738C2×C4—82no—
739C2×C4—82no—
740C2×C4—82no—
741C2×C4—84no—
742C2×C4—124no—
743C2×C4—124no—
744C2×C4—482no—
745C2×C4—482no—
746C2×C4C2×D3×C22⋊C411yescharacteristic
747C2×C4#548611yescharacteristic
748C2×C4C4×#23712yes—
749C2×C4C4×#23712yes—
750C2×C4#558711yescharacteristic
751C2×C4#558712yes—
752C2×C4#559212yes—
753C2×C4#560612yes—
754C2×C4#560612yes—
755C2×C4#561612yes—
756C2×C4#561612yes—
757C2×C4#561612yes—
758C2×C4#565911yescharacteristic
759C2×C4#565912yes—
760C2×C4#566812yes—
761C2×C4#571612yes—
762C8—44no—
763C8—68no—
764C8—124no—
765C2×C3—21no—
766C2×C3—22no—
767C2×C3—22no—
768C2×C3—21no—
769C2×C3—21no—
770C2×C3—161no—
771C2×C3—162no—
772C2×C3#1416911yescharacteristic
773C22—41no—
774C22—41no—
775C22—42no—
776C22—42no—
777C22—41no—
778C22—82no—
779C22—84no—
780C22—84no—
781C22—82no—
782C22—81no—
783C22—82no—
784C22—162no—
785C22—161no—
786C22—164no—
787C22—164no—
788C22#7381911yescharacteristic
789C22#7468011yescharacteristic
790C22#7468011yescharacteristic
791C22#7669612yes—
792C22#7696912yes—
793C4—44no—
794C4—84no—
795C4—81no—
796C4—244no—
797C4—244no—
798C4#7468012yes—
799C4#7629012yes—
800C4#7669612yes—
801C4#7696912yes—
802C3#37571811yescharacteristic, complemented, Sylow
803C2—21no—
804C2—22no—
805C2—22no—
806C2—21no—
807C2—21no—
808C2—162no—
809C2—161no—
810C2#1072046311yescharacteristic
subgroupG/H
centerC2#10720463
commutatorC22×C3×C4C23×C4
FrattiniC23×C4C23×D3
FittingC3×#10989C2
socleC2×C3#14169
prime radicalC2×C3×#535C22
cosocleC23×C3×C4C24
hypercenter#10989D3
hypocenterC3#375718
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2 ◁ C23×C4 ◁ #10989

Complements

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

NH ≅ G/Ntype
2. #10792693C2semidirect
3. #10704134C2semidirect
5. #10701612C2semidirect
6. #10701600C2semidirect
7. #10701593C2semidirect
8. #10701581C2semidirect
23. #83159C4semidirect
24. #82939C4semidirect
225. #803C22⋊C4semidirect
227. C4×C3⋊C8C22⋊C4semidirect
802. C3#375718semidirect

Maximal subgroups

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

subgroupindex
#116645032
#107926932
#107041342
#107017782
#107016122
#107016002
#107015932
#107015812
C3×#109892
#3757183