Finite Group Databasebeta

← #10732510

Subgroups — #10732510

Order 768.

2878 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#121C211yesmaximal, characteristic
2C22×#936C211yesmaximal, characteristic, complemented
3C22×#924C211yesmaximal, characteristic, complemented
4C2×#5221C211yesmaximal, characteristic, complemented
5C2×C4×#217C211yesmaximal, characteristic, complemented
6C2×#4973C211yesmaximal, characteristic, complemented
7#72131C214yesmaximal, complemented
8#71563C211yesmaximal, characteristic, complemented
9#71547C214yesmaximal, complemented
10#15215—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×C3×D4C2212yes—
13C24×C3×C4C2211yescharacteristic
14C23×Dic6C2211yescharacteristic
15C2×C3×#121—24no—
16C2×C3×#121—24no—
17C2×C3×#121—24no—
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2212yes—
20C22×#217C2212yes—
21C22×#217C2214yes—
22C22×#217C2212yes—
23C22×#217C2214yes—
24C2×#936—24no—
25C2×#936—24no—
26C2×#936—24no—
27C22×C4⋊Dic3C2211yescharacteristic
28C2×#924—24no—
29C2×#924—24no—
30C2×#924—24no—
31C22×Dic3⋊C4C2212yes—
32C22×C4×Dic3C2211yescharacteristic
33C22×C4×Dic3C2211yescharacteristic
34#5221—24no—
35C4×#217—24no—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2214yes—
38C2×C3⋊#95C2214yes—
39#4973—24no—
40C22×#124—31no—
41C22×C22⋊Q8—31no—
42C22×#121D311yescharacteristic
43C2×#391—31no—
44C2×#390—31no—
45C2×C4×C22⋊C4—31no—
46#1439—34no—
47#1438—34no—
48C4⋊#95—31no—
49C25×C3C2312yes—
50C25×C3C2311yescharacteristic
51C22×C3×D4—24no—
52C22×C3×D4—24no—
53C22×C3×D4—28no—
54C22×C3×D4—22no—
55C22×C3×D4—22no—
56C22×C3×D4—22no—
57C22×C3×D4—24no—
58C22×C3×D4—22no—
59C22×C3×D4—22no—
60C22×C3×D4—22no—
61C22×C3×D4—44no—
62C22×C3×D4D414yes—
63C23×C3×C4—22no—
64C23×C3×C4—22no—
65C23×C3×C4—22no—
66C23×C3×C4—22no—
67C23×C3×C4—22no—
68C23×C3×C4—22no—
69C23×C3×C4D414yes—
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2312yes—
72C23×C3×C4C2311yescharacteristic
73C23×Dic3C2312yes—
74C23×Dic3C2312yes—
75C23×Dic3C2312yes—
76C23×Dic3C2312yes—
77C22×Dic6—22no—
78C22×Dic6—22no—
79C22×Dic6—22no—
80C22×Dic6—22no—
81C22×Dic6—22no—
82C22×Dic6—22no—
83C22×Dic6D414yescomplemented
84C3×#121—232no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4—22no—
87C2×C3×C4⋊C4D414yes—
88C2×C3×C22⋊C4—24no—
89C2×C3×C22⋊C4—24no—
90C2×C3×C22⋊C4—24no—
91C2×#217—24no—
92C2×#217—28no—
93C2×#217—24no—
94C2×#217—24no—
95C2×#217—24no—
96C2×#217—24no—
97C2×#217—28no—
98C2×#217—28no—
99C2×#217—24no—
100C2×#217—28no—
101C2×#217—28no—
102C2×#217—44no—
103#936—232no—
104C2×C4⋊Dic3—22no—
105C2×C4⋊Dic3—22no—
106C2×C4⋊Dic3D414yescomplemented
107#924—232no—
108C2×Dic3⋊C4—24no—
109C2×Dic3⋊C4—24no—
110C2×Dic3⋊C4—24no—
111C2×C4×Dic3—22no—
112C2×C4×Dic3—22no—
113C2×C4×Dic3—22no—
114C2×C4×Dic3—22no—
115C2×C4×Dic3—22no—
116C2×C4×Dic3D414yescomplemented
117C3⋊#95—28no—
118C3⋊#95—24no—
119C3⋊#95—44no—
120C23×Q8—31no—
121C23×D4C2×D311yescharacteristic
122C23×D4C2×D312yes—
123C24×C4C2×D311yescharacteristic
124C2×#124—64no—
125C2×#124—64no—
126C2×#124—64no—
127C2×C22⋊Q8—64no—
128C2×C22⋊Q8—64no—
129C2×C22⋊Q8—64no—
130C2×#121—24no—
131C2×#121—24no—
132C2×#121—24no—
133C22×C4⋊C4—31no—
134C22×C4⋊C4—32no—
135C22×C4⋊C4C2×D311yescharacteristic
136C22×C22⋊C4—32no—
137C22×C22⋊C4—34no—
138C22×C22⋊C4—32no—
139C22×C22⋊C4—34no—
140C22×C22⋊C4C2×D312yes—
141C22×C42—31no—
142C22×C42—31no—
143#391—64no—
144#390—64no—
145C4×C22⋊C4—64no—
146C2×#95—34no—
147C2×#95—32no—
148C2×#95—34no—
149C24×C3—21no—
150C24×C3—21no—
151C24×C3—21no—
152C24×C3—21no—
153C24×C3—21no—
154C24×C3—22no—
155C24×C3—21no—
156C24×C3—22no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—22no—
162C24×C3—22no—
163C24×C3—24no—
164C24×C3—22no—
165C24×C3—24no—
166C24×C3—24no—
167C24×C3—24no—
168C24×C3C2×D414yes—
169C24×C3C2×D412yes—
170C24×C3#4114yes—
171C24×C3C2411yescharacteristic
172C2×C3×D4—216no—
173C2×C3×D4—28no—
174C2×C3×D4—28no—
175C2×C3×D4—28no—
176C2×C3×D4—416no—
177C2×C3×D4—416no—
178C2×C3×D4—48no—
179C2×C3×D4—48no—
180C2×C3×D4—44no—
181C2×C3×D4—44no—
182C2×C3×D4—44no—
183C2×C3×D4—44no—
184C22×C3×C4—21no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—21no—
188C22×C3×C4—21no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—21no—
192C22×C3×C4—24no—
193C22×C3×C4—24no—
194C22×C3×C4—28no—
195C22×C3×C4—28no—
196C22×C3×C4—28no—
197C22×C3×C4—44no—
198C22×C3×C4—44no—
199C22×C3×C4—44no—
200C22×C3×C4—44no—
201C22×C3×C4C2×D412yes—
202C22×C3×C4C2×D412yes—
203C22×C3×C4C2×D412yes—
204C22×C3×C4C2×D414yes—
205C22×C3×C4C2×D412yes—
206C22×C3×C4C2×D412yes—
207C22×C3×C4C2×D412yes—
208C22×C3×C4C2×D412yes—
209C22×C3×C4#4112yes—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—24no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—24no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3C2×D414yes—
233C22×Dic3C2×D414yes—
234C22×Dic3C2×D414yes—
235C22×Dic3#4114yes—
236C2×Dic6—28no—
237C2×Dic6—28no—
238C2×Dic6—28no—
239C2×Dic6—44no—
240C2×Dic6—44no—
241C2×Dic6—44no—
242C2×Dic6—44no—
243C3×C4⋊C4—28no—
244C3×C22⋊C4—216no—
245#217—216no—
246#217—232no—
247#217—216no—
248#217—416no—
249C4⋊Dic3—28no—
250Dic3⋊C4—216no—
251C4×Dic3—28no—
252C4×Dic3—44no—
253C25C22×D312yes—
254C25C22×D311yescharacteristic
255C22×Q8—34no—
256C22×Q8—62no—
257C22×Q8—62no—
258C22×Q8—62no—
259C22×Q8—62no—
260C22×Q8—62no—
261C22×Q8—62no—
262C22×D4—24no—
263C22×D4—24no—
264C22×D4—28no—
265C22×D4—22no—
266C22×D4—22no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—24no—
270C22×D4—22no—
271C22×D4—22no—
272C22×D4—44no—
273C22×D4#6714yes—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—32no—
281C23×C4—32no—
282C23×C4—32no—
283C23×C4—32no—
284C23×C4#6714yes—
285C23×C4C22×D311yescharacteristic
286C23×C4C22×D312yes—
287C23×C4C22×D311yescharacteristic
288#124—632no—
289C22⋊Q8—632no—
290#121—232no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—34no—
294C2×C4⋊C4—64no—
295C2×C4⋊C4—64no—
296C2×C4⋊C4—62no—
297C2×C4⋊C4—64no—
298C2×C4⋊C4—62no—
299C2×C4⋊C4#6714yes—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—64no—
305C2×C22⋊C4—68no—
306C2×C22⋊C4—68no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—64no—
310C2×C22⋊C4—64no—
311C2×C22⋊C4—68no—
312C2×C22⋊C4—68no—
313C2×C22⋊C4—68no—
314C2×C22⋊C4—124no—
315C2×C42—34no—
316C2×C42—62no—
317C2×C42—62no—
318C2×C42—62no—
319C2×C42—62no—
320C2×C42—62no—
321#95—64no—
322#95—68no—
323#95—124no—
324C23×C3—22no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—24no—
328C23×C3—24no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—24no—
333C23×C3—24no—
334C23×C3—24no—
335C23×C3—24no—
336C23×C3—24no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—28no—
340C23×C3—28no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—44no—
355C23×C3—42no—
356C23×C3—44no—
357C23×C3—42no—
358C23×C3—42no—
359C23×C3—42no—
360C23×C3—42no—
361C23×C3—44no—
362C23×C3—44no—
363C23×C3—44no—
364C23×C3—44no—
365C23×C3—44no—
366C23×C3—44no—
367C23×C3—44no—
368C23×C3—44no—
369C23×C3#12414yescomplemented
370C23×C3C22×D411yescharacteristic
371C23×C3C22×D411yescharacteristic
372C23×C3C22×D411yescharacteristic
373C23×C3C22×D411yescharacteristic
374C23×C3C22×D411yescharacteristic
375C23×C3C22×D411yescharacteristic
376C23×C3C2×#4111yescharacteristic
377C23×C3C2×#4112yes—
378C23×C3C2×#4112yes—
379C23×C3H(5,𝔽2)12yes—
380C23×C32−1+412yes—
381C3×D4—432no—
382C3×D4—416no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—24no—
386C2×C3×C4—22no—
387C2×C3×C4—28no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—42no—
392C2×C3×C4—41no—
393C2×C3×C4—42no—
394C2×C3×C4—44no—
395C2×C3×C4—416no—
396C2×C3×C4#12014yes—
397C2×C3×C4#12014yes—
398C2×C3×C4#12014yes—
399C2×C3×C4#12114yes—
400C2×C3×C4#12114yes—
401C2×C3×C4#12114yes—
402C2×C3×C4#12714yes—
403C2×Dic3—24no—
404C2×Dic3—24no—
405C2×Dic3—24no—
406C2×Dic3—24no—
407C2×Dic3—24no—
408C2×Dic3—24no—
409C2×Dic3—24no—
410C2×Dic3—24no—
411C2×Dic3—24no—
412C2×Dic3—28no—
413C2×Dic3—24no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—42no—
419C2×Dic3—42no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—42no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—42no—
426C2×Dic3—42no—
427C2×Dic3—42no—
428C2×Dic3—44no—
429Dic6—416no—
430C24—21no—
431C24—21no—
432C24—21no—
433C24—21no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—21no—
438C24—21no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—24no—
444C24—24no—
445C24—24no—
446C24—24no—
447C24—22no—
448C24—22no—
449C24#23714yes—
450C24C2×#6714yes—
451C24C2×#6712yes—
452C24C23×D311yescharacteristic
453C2×Q8—68no—
454C2×Q8—68no—
455C2×Q8—68no—
456C2×Q8—124no—
457C2×Q8—124no—
458C2×Q8—124no—
459C2×Q8—124no—
460C2×D4—216no—
461C2×D4—28no—
462C2×D4—28no—
463C2×D4—28no—
464C2×D4—416no—
465C2×D4—416no—
466C2×D4—48no—
467C2×D4—48no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—28no—
485C22×C4—34no—
486C22×C4—34no—
487C22×C4—34no—
488C22×C4—34no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—64no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—64no—
507C22×C4—62no—
508C22×C4—62no—
509C22×C4—62no—
510C22×C4—62no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4D3×D412yes—
516C22×C4D3×D412yes—
517C22×C4D3×D412yes—
518C22×C4#23712yes—
519C22×C4C2×#6714yes—
520C22×C4C2×#6712yes—
521C22×C4C2×#6712yes—
522C22×C4C2×#6712yes—
523C22×C4C2×#6712yes—
524C4⋊C4—28no—
525C4⋊C4—616no—
526C4⋊C4—68no—
527C22⋊C4—216no—
528C22⋊C4—616no—
529C22⋊C4—632no—
530C22⋊C4—616no—
531C22⋊C4—1216no—
532C42—68no—
533C42—124no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—42no—
538C22×C3—42no—
539C22×C3—44no—
540C22×C3—44no—
541C22×C3—44no—
542C22×C3—42no—
543C22×C3—42no—
544C22×C3—44no—
545C22×C3—44no—
546C22×C3—48no—
547C22×C3—48no—
548C22×C3—44no—
549C22×C3—44no—
550C22×C3—82no—
551C22×C3—82no—
552C22×C3—84no—
553C22×C3—82no—
554C22×C3—82no—
555C22×C3—84no—
556C22×C3C2×#12011yescharacteristic
557C22×C3C2×#12011yescharacteristic
558C22×C3C2×#12011yescharacteristic
559C22×C3C2×#12111yescharacteristic
560C22×C3C2×#12111yescharacteristic
561C22×C3C2×#12111yescharacteristic
562C22×C3#52512yes—
563C22×C3C2×#12411yescharacteristic
564C22×C3#52912yes—
565C22×C3C2×#12711yescharacteristic
566C22×C3#53211yescharacteristic
567C22×C3#53511yescharacteristic
568C22×C3#53611yescharacteristic
569C22×C3#53712yes—
570C22×C3#54212yes—
571C22×C3#54612yes—
572C22×C3#54612yes—
573C22×C3#54612yes—
574C22×C3#54712yes—
575C22×C3#54812yes—
576C22×C3#54812yes—
577C22×C3#54812yes—
578C22×C3#55012yes—
579C3×C4—42no—
580C3×C4—44no—
581C3×C4#39218yes—
582Dic3—44no—
583Dic3—44no—
584Dic3—44no—
585Dic3—44no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—28no—
602C23—24no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—44no—
620C23—42no—
621C23—44no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23#93614yescomplemented
632C23C2×D3×D411yescharacteristic
633C23C2×D3×D411yescharacteristic
634C23C2×D3×D411yescharacteristic
635C23C2×#23712yes—
636C23C2×#23711yescharacteristic
637C23#100412yes—
638C23D3×#4112yes—
639C23#101012yes—
640C23C22×#6711yescharacteristic
641C23C22×#6711yescharacteristic
642C23C22×#6711yescharacteristic
643Q8—1216no—
644D4—432no—
645D4—416no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—28no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—416no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—64no—
668C2×C4—64no—
669C2×C4—68no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4—124no—
684C2×C4—122no—
685C2×C4#93714yes—
686C2×C4#93714yes—
687C2×C4#93814yes—
688C2×C4#93914yes—
689C2×C4#93914yes—
690C2×C4#94014yes—
691C2×C4#95314yes—
692C2×C3—44no—
693C2×C3—84no—
694C2×C3C2×#39211yescharacteristic
695C2×C3#240712yes—
696C2×C3#242612yes—
697C2×C3#242712yes—
698C2×C3#243111yescharacteristic
699C2×C3#243211yescharacteristic
700C2×C3#243511yescharacteristic
701C2×C3#243611yescharacteristic
702C2×C3#254012yes—
703C2×C3#262011yescharacteristic
704C2×C3#285011yescharacteristic
705C22—24no—
706C22—24no—
707C22—24no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—44no—
712C22—44no—
713C22—42no—
714C22—44no—
715C22—42no—
716C22—48no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—48no—
721C22—82no—
722C22—84no—
723C22—82no—
724C22—82no—
725C22—84no—
726C22—82no—
727C22#559812yes—
728C22#559812yes—
729C22#559912yes—
730C22#560012yes—
731C22#560312yes—
732C22#560612yes—
733C22#560812yes—
734C22#561212yes—
735C22C2×#93611yescharacteristic
736C22C2×#93711yescharacteristic
737C22C2×#93711yescharacteristic
738C22C2×#93811yescharacteristic
739C22C2×#93911yescharacteristic
740C22C2×#93911yescharacteristic
741C22C2×#94011yescharacteristic
742C22#580511yescharacteristic
743C22#580612yes—
744C22#580612yes—
745C22#582412yes—
746C22#582511yescharacteristic
747C22#583112yes—
748C22#583211yescharacteristic
749C22C2×#95311yescharacteristic
750C4—44no—
751C4—42no—
752C4—124no—
753C4—124no—
754C4—124no—
755C4—124no—
756C4#522318yes—
757C3#1521511yescharacteristic, complemented, Sylow
758C2—44no—
759C2—84no—
760C2#8264612yes—
761C2#8264712yes—
762C2#8265211yescharacteristic
763C2#8265411yescharacteristic
764C2#8266812yes—
765C2#8267711yescharacteristic
766C2#8269811yescharacteristic
767C2#8270112yes—
768C2#8405011yescharacteristic
769C2C2×#522311yescharacteristic
770C2#8409311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
Fitting, prime radicalC22×C3×#121C2
hypercenterC22×#121D3
hypocenterC3#15215
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
2. C22×#936C2semidirect
3. C22×#924C2semidirect
4. C2×#5221C2semidirect
5. C2×C4×#217C2semidirect
6. C2×#4973C2semidirect
7. #72131C2semidirect
8. #71563C2semidirect
9. #71547C2semidirect
83. C22×Dic6D4semidirect
106. C2×C4⋊Dic3D4semidirect
116. C2×C4×Dic3D4semidirect
369. C23×C3#124semidirect
631. C23#936semidirect
757. C3#15215semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1212
C22×#9362
C22×#9242
C2×#52212
C2×C4×#2172
C2×#49732
#721312
#715632
#715472
#152153