Finite Group Databasebeta

← #10731940

Subgroups — #10731940

Order 768.

1922 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×#4949C211yesmaximal, characteristic, complemented
3C2×#4957C212yesmaximal
4C2×#4957C211yesmaximal, characteristic
5C2×#4677C211yesmaximal, characteristic, complemented
6C2×#4647C212yesmaximal, complemented
7C3×#1439C211yesmaximal, characteristic, complemented
8#71570C211yesmaximal, characteristic, complemented
9#71546C212yesmaximal, complemented
10#69428C212yesmaximal, complemented
11Dic3⋊#95C211yesmaximal, characteristic, complemented
12#15148—31nomaximal, Sylow
13C23×#67C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C22⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×#217C2212yes—
18C22×#217C2211yescharacteristic
19C22×(C2×D3)⋊C4C2211yescharacteristic
20C22×(C2×D3)⋊C4C2212yes—
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×C4⋊Dic3C2212yes—
24C22×C4⋊Dic3C2211yescharacteristic
25C22×Dic3⋊C4C2211yescharacteristic
26C22×Dic3⋊C4C2212yes—
27C22×Dic3⋊C4C2212yes—
28C22×C4×Dic3C2212yes—
29C22×C4×Dic3C2211yescharacteristic
30C2×C3×#95C2211yescharacteristic
31C2×C3×#95C2212yes—
32C2×C3⋊#95C2211yescharacteristic
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36Dic3×C4⋊C4—24no—
37#4957—28no—
38#4957—24no—
39#4949—24no—
40#4677—24no—
41#4647—28no—
42C2×#399—31no—
43C2×#399—31no—
44C2×#390—31no—
45C2×#390—32no—
46C2×#389—32no—
47C2×C4×C4⋊C4—31no—
48#1439—32no—
49#1439—31no—
50#1439—32no—
51#1439D311yescharacteristic, complemented
52C4⋊#95—31no—
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—22no—
60C22×#67—24no—
61C22×#67—24no—
62C22×#67—22no—
63C22×#67Q814yes—
64C23×Dic3C2311yescharacteristic
65C23×Dic3C2311yescharacteristic
66C23×Dic3C2312yes—
67C23×Dic3C2312yes—
68C23×Dic3C2311yescharacteristic
69C2×C3×C4⋊C4—22no—
70C2×C3×C4⋊C4—24no—
71C2×C3×C22⋊C4—22no—
72C2×C3×C22⋊C4—24no—
73C2×C3×C22⋊C4—22no—
74C2×C3×C22⋊C4—22no—
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4—42no—
77C2×#217—24no—
78C2×#217—24no—
79C2×#217—22no—
80C2×#217—42no—
81C2×#217—42no—
82C2×(C2×D3)⋊C4—22no—
83C2×(C2×D3)⋊C4—24no—
84C2×(C2×D3)⋊C4—22no—
85C2×(C2×D3)⋊C4—22no—
86C2×(C2×D3)⋊C4—24no—
87C2×(C2×D3)⋊C4—24no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—42no—
91C2×(C2×D3)⋊C4—42no—
92C2×(C2×D3)⋊C4—42no—
93C2×C4⋊Dic3—22no—
94C2×C4⋊Dic3—22no—
95C2×C4⋊Dic3—24no—
96C2×C4⋊Dic3—24no—
97C2×C4⋊Dic3—42no—
98C2×C4⋊Dic3D414yescomplemented
99C2×Dic3⋊C4—24no—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—24no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—22no—
105C2×Dic3⋊C4—42no—
106C2×Dic3⋊C4D418yes—
107C2×C4×Dic3—24no—
108C2×C4×Dic3—24no—
109C2×C4×Dic3—24no—
110C2×C4×Dic3—24no—
111C2×C4×Dic3D414yes—
112C3×#95—24no—
113C3×#95—22no—
114C3⋊#95—22no—
115C3⋊#95—24no—
116C3⋊#95—24no—
117C3⋊#95—42no—
118C23×D4—31no—
119C22×C4⋊C4—31no—
120C22×C4⋊C4—32no—
121C22×C4⋊C4—31no—
122C22×C4⋊C4—32no—
123C22×C4⋊C4—32no—
124C22×C4⋊C4C2×D311yescharacteristic
125C22×C22⋊C4—31no—
126C22×C22⋊C4—32no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—31no—
130C22×C22⋊C4—31no—
131C22×C22⋊C4C2×D311yescharacteristic
132C22×C22⋊C4C2×D312yes—
133C22×C42—31no—
134C22×C42—32no—
135#399—64no—
136#399—64no—
137#390—64no—
138#390—68no—
139#389—68no—
140C4×C4⋊C4—64no—
141C2×#95—31no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95—32no—
145C2×#95C2×D311yescharacteristic
146C2×#95C2×D312yes—
147C24×C3—21no—
148C24×C3—21no—
149C24×C3—22no—
150C24×C3—21no—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—21no—
154C24×C3—22no—
155C24×C3—21no—
156C24×C3—21no—
157C24×C3C2×Q812yes—
158C24×C3C2411yescharacteristic
159C23×D3—21no—
160C23×D3—21no—
161C23×D3—22no—
162C23×D3—21no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—21no—
166C23×D3—21no—
167C23×D3—22no—
168C23×D3—21no—
169C23×D3C2×Q812yes—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—21no—
188C22×C3×C4—22no—
189C22×C3×C4C2×D414yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4#4112yes—
193C22×C3×C4#4114yes—
194C2×#67—28no—
195C2×#67—216no—
196C2×#67—44no—
197C2×#67—48no—
198C2×#67—44no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—21no—
215C22×Dic3—22no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—22no—
220C22×Dic3C2×D412yes—
221C22×Dic3C2×D414yes—
222C22×Dic3C2×D414yes—
223C22×Dic3C2×D412yes—
224C22×Dic3C2×D414yes—
225C22×Dic3C2×Q812yes—
226C22×Dic3#4114yes—
227C22×Dic3#4112yes—
228C3×C4⋊C4—28no—
229C3×C22⋊C4—48no—
230C3×C22⋊C4—44no—
231#217—48no—
232#217—44no—
233(C2×D3)⋊C4—48no—
234(C2×D3)⋊C4—48no—
235(C2×D3)⋊C4—44no—
236(C2×D3)⋊C4—44no—
237C4⋊Dic3—28no—
238C4⋊Dic3—48no—
239Dic3⋊C4—216no—
240Dic3⋊C4—48no—
241Dic3⋊C4—44no—
242C4×Dic3—28no—
243C4×Dic3—48no—
244C25—31no—
245C25C22×D311yescharacteristic
246C22×D4—34no—
247C22×D4—62no—
248C22×D4—64no—
249C22×D4—64no—
250C22×D4—62no—
251C23×C4—31no—
252C23×C4—32no—
253C23×C4—32no—
254C23×C4—31no—
255C23×C4—31no—
256C23×C4C22×D311yescharacteristic
257C23×C4C22×D312yes—
258C23×C4C22×D312yes—
259C23×C4C22×D311yescharacteristic
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—38no—
263C2×C4⋊C4—34no—
264C2×C4⋊C4—64no—
265C2×C4⋊C4—64no—
266C2×C4⋊C4—62no—
267C2×C4⋊C4—62no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—64no—
270C2×C4⋊C4—62no—
271C2×C4⋊C4—64no—
272C2×C4⋊C4—64no—
273C2×C4⋊C4—64no—
274C2×C4⋊C4—122no—
275C2×C4⋊C4—122no—
276C2×C22⋊C4—22no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—22no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—42no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—62no—
284C2×C22⋊C4—64no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—62no—
287C2×C22⋊C4—64no—
288C2×C22⋊C4—62no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—62no—
291C2×C22⋊C4—62no—
292C2×C22⋊C4—64no—
293C2×C22⋊C4—122no—
294C2×C22⋊C4—122no—
295C2×C22⋊C4—122no—
296C2×C22⋊C4—122no—
297C2×C22⋊C4—122no—
298C2×C42—34no—
299C2×C42—64no—
300C2×C42—64no—
301C2×C42—64no—
302C2×C42—64no—
303#95—24no—
304#95—22no—
305#95—64no—
306#95—64no—
307#95—62no—
308#95—122no—
309C23×C3—22no—
310C23×C3—24no—
311C23×C3—22no—
312C23×C3—24no—
313C23×C3—22no—
314C23×C3—41no—
315C23×C3—41no—
316C23×C3—42no—
317C23×C3—41no—
318C23×C3—42no—
319C23×C3—41no—
320C23×C3—42no—
321C23×C3—41no—
322C23×C3—41no—
323C23×C3—42no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—41no—
330C23×C3—41no—
331C23×C3—42no—
332C23×C3C22×D411yescharacteristic
333C23×C3C22×D411yescharacteristic
334C23×C3C22×D412yes—
335C23×C3C22×Q811yescharacteristic
336C23×C3C2×#4111yescharacteristic
337C23×C3C2×#4112yes—
338C23×C3C2×#4112yes—
339C23×C3C2×#4111yescharacteristic
340C23×C3H(5,𝔽2)11yescharacteristic
341C23×C3H(5,𝔽2)12yes—
342C23×C32−1+411yescharacteristic
343C22×D3—22no—
344C22×D3—24no—
345C22×D3—22no—
346C22×D3—24no—
347C22×D3—22no—
348C22×D3—41no—
349C22×D3—41no—
350C22×D3—42no—
351C22×D3—41no—
352C22×D3—42no—
353C22×D3—41no—
354C22×D3—42no—
355C22×D3—41no—
356C22×D3—41no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—42no—
362C22×D3—42no—
363C22×D3—41no—
364C22×D3—41no—
365C22×D3—42no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4#12114yes—
390#67—416no—
391C2×Dic3—24no—
392C2×Dic3—22no—
393C2×Dic3—24no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3—42no—
410C2×Dic3—41no—
411C2×Dic3—41no—
412C2×Dic3—41no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3C22⋊Q814yes—
416C2×Dic3C22⋊Q818yes—
417C2×Dic3#12314yes—
418C2×Dic3#12318yes—
419C2×Dic3#12714yes—
420C24—21no—
421C24—21no—
422C24—21no—
423C24—22no—
424C24—22no—
425C24—21no—
426C24—22no—
427C24—21no—
428C24—22no—
429C24—21no—
430C24—32no—
431C24—61no—
432C24—61no—
433C24—61no—
434C24—62no—
435C24—62no—
436C24—61no—
437C24—62no—
438C24—61no—
439C24—62no—
440C24—61no—
441C24D3×Q812yes—
442C24C23×D311yescharacteristic
443C2×D4—68no—
444C2×D4—616no—
445C2×D4—124no—
446C2×D4—128no—
447C2×D4—124no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—32no—
468C22×C4—34no—
469C22×C4—32no—
470C22×C4—34no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—34no—
474C22×C4—34no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—61no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—62no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—62no—
496C22×C4#23512yes—
497C22×C4D3×D414yes—
498C22×C4D3×D412yes—
499C22×C4D3×D412yes—
500C22×C4#23714yes—
501C4⋊C4—28no—
502C4⋊C4—616no—
503C4⋊C4—68no—
504C4⋊C4—128no—
505C4⋊C4—124no—
506C4⋊C4—128no—
507C22⋊C4—48no—
508C22⋊C4—44no—
509C22⋊C4—128no—
510C22⋊C4—128no—
511C22⋊C4—124no—
512C22⋊C4—128no—
513C22⋊C4—124no—
514C22⋊C4—124no—
515C42—68no—
516C42—128no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—44no—
521C22×C3—42no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—82no—
525C22×C3—82no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3C2×#12111yescharacteristic
529C22×C3C2×C22⋊Q811yescharacteristic
530C22×C3C2×C22⋊Q812yes—
531C22×C3C2×#12311yescharacteristic
532C22×C3C2×#12312yes—
533C22×C3#52511yescharacteristic
534C22×C3#52912yes—
535C22×C3C2×#12711yescharacteristic
536C22×C3#53212yes—
537C22×C3#53511yescharacteristic
538C22×C3#53711yescharacteristic
539C22×C3#54012yes—
540C22×C3#54212yes—
541C22×C3D4212yes—
542C22×C3#54612yes—
543C22×C3#54812yes—
544C22×C3D4×Q811yescharacteristic
545C22×C3#55012yes—
546C22×C3#55011yescharacteristic
547C22×C3#55412yes—
548C22×C3#55411yescharacteristic
549C22×C3#55611yescharacteristic
550C22×C3#55912yes—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—44no—
554C2×D3—44no—
555C2×D3—42no—
556C2×D3—81no—
557C2×D3—81no—
558C2×D3—82no—
559C2×D3—82no—
560C2×D3—81no—
561C2×D3—81no—
562C3×C4—24no—
563C3×C4—44no—
564C3×C4—44no—
565C3×C4—81no—
566Dic3—42no—
567Dic3—44no—
568Dic3—44no—
569Dic3—81no—
570Dic3#39918yescomplemented
571C23—22no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—42no—
577C23—41no—
578C23—42no—
579C23—41no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—42no—
586C23—42no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—41no—
593C23—42no—
594C23—62no—
595C23—64no—
596C23—62no—
597C23—62no—
598C23—64no—
599C23—122no—
600C23—121no—
601C23—122no—
602C23—121no—
603C23—122no—
604C23—122no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—122no—
609C23—122no—
610C23—121no—
611C23—122no—
612C23—122no—
613C23—122no—
614C23—121no—
615C23—121no—
616C23—122no—
617C23C2×#23511yescharacteristic
618C23C2×D3×D411yescharacteristic
619C23C2×D3×D411yescharacteristic
620C23C2×D3×D412yes—
621C23C2×#23712yes—
622C23#100411yescharacteristic
623C23C2×D3×Q811yescharacteristic
624C23D3×#4112yes—
625C23D3×#4111yescharacteristic
626C23#100912yes—
627C23#101011yescharacteristic
628D4—1216no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—34no—
640C2×C4—38no—
641C2×C4—34no—
642C2×C4—34no—
643C2×C4—38no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—62no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—62no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—122no—
667C2×C4—122no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4#88414yes—
682C2×C3—82no—
683C2×C3C2×#39911yescharacteristic
684C2×C3#244512yes—
685C2×C3#244812yes—
686C2×C3#245212yes—
687C2×C3#245412yes—
688C2×C3#253811yescharacteristic
689C2×C3#254011yescharacteristic
690C2×C3#254111yescharacteristic
691C2×C3#258011yescharacteristic
692C2×C3#262411yescharacteristic
693C2×C3#285411yescharacteristic
694D3—82no—
695C22—42no—
696C22—42no—
697C22—44no—
698C22—42no—
699C22—44no—
700C22—81no—
701C22—82no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—82no—
706C22—122no—
707C22—122no—
708C22—124no—
709C22—122no—
710C22—124no—
711C22—241no—
712C22—242no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—242no—
717C22C2×#88411yescharacteristic
718C22#551111yescharacteristic
719C22#553311yescharacteristic
720C22#553812yes—
721C22#555312yes—
722C22#558611yescharacteristic
723C22#559112yes—
724C22#559612yes—
725C22#559812yes—
726C22#559911yescharacteristic
727C22#560811yescharacteristic
728C22#560912yes—
729C22D3×C22⋊Q811yescharacteristic
730C22D3×C22⋊Q812yes—
731C22#563211yescharacteristic
732C22#563512yes—
733C22D3×#12312yes—
734C22D3×#12311yescharacteristic
735C22#566312yes—
736C22#567411yescharacteristic
737C22#568112yes—
738C22#571012yes—
739C22D3×#12711yescharacteristic
740C4—24no—
741C4—38no—
742C4—44no—
743C4—44no—
744C4—81no—
745C4—124no—
746C4—124no—
747C4—122no—
748C4—241no—
749C3#1514811yescharacteristic, complemented, Sylow
750C2—82no—
751C2—242no—
752C2#7393611yescharacteristic
753C2#7442612yes—
754C2#7487211yescharacteristic
755C2#7550112yes—
756C2#7634811yescharacteristic
757C2#7668711yescharacteristic
758C2#7680211yescharacteristic
759C2#7690612yes—
760C2#7729012yes—
761C2#7753911yescharacteristic
762C2D3×#39911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1439C2
prime radicalC23×#67C22
hypercenter#1439D3
hypocenterC3#15148
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
1. C2×Dic3×C4⋊C4C2semidirect
2. C2×#4949C2semidirect
5. C2×#4677C2semidirect
6. C2×#4647C2semidirect
7. C3×#1439C2semidirect
8. #71570C2semidirect
9. #71546C2semidirect
10. #69428C2semidirect
11. Dic3⋊#95C2semidirect
51. #1439D3semidirect
98. C2×C4⋊Dic3D4semidirect
570. Dic3#399semidirect
749. C3#15148semidirect

Maximal subgroups

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

subgroupindex
C2×Dic3×C4⋊C42
C2×#49492
C2×#49572
C2×#46772
C2×#46472
C3×#14392
#715702
#715462
#694282
Dic3⋊#952
#151483