Finite Group Databasebeta

← #11792807

Subgroups — #11792807

Order 1152.

1347 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#882C211yesmaximal, characteristic, complemented
2#10595518C211yesmaximal, characteristic, complemented
3C2×#63976C211yesmaximal, characteristic, complemented
4C2×C3×#806C211yesmaximal, characteristic, complemented
5#10591706C211yesmaximal, characteristic, complemented
6C2×#63580C211yesmaximal, characteristic, complemented
7#10589393C211yesmaximal, characteristic, complemented
8#71671—31nomaximal
9#70037—31nomaximal
10C24×C3×D3C2211yescharacteristic
11C22×C3×#67C2211yescharacteristic
12C22×C3×#67C2211yescharacteristic
13C22×C3×D12—21no—
14C22×#625—21no—
15C2×C32×C22⋊C4C2211yescharacteristic
16C2×#3757C2211yescharacteristic
17C2×#3757C2211yescharacteristic
18C2×C3×#217C2211yescharacteristic
19C2×C3×(C2×D3)⋊C4—21no—
20C3×#882—22no—
21C3×#882—22no—
22#63980—22no—
23#63976—22no—
24#63976—22no—
25#63976—21no—
26#63976—21no—
27#63961—21no—
28#63961—21no—
29C2×(C2×D3)⋊Dic3—21no—
30C2×(C2×D3)⋊Dic3—22no—
31C3×#806—22no—
32#63580—22no—
33C2×C3×#120—31no—
34C2×#953—31no—
35#5804—31no—
36#5804—31no—
37C2×#937—31no—
38C2×#882D311yescharacteristic, complemented
39C2×C3×#99—31no—
40#5247—31no—
41C2×#834—31no—
42#4955—31no—
43C2×#806—31no—
44C2×#806D311yescharacteristic, complemented
45#4527—31no—
46#4527—31no—
47#4527—61no—
48C24×C32C2311yescharacteristic
49C23×C3×D3—21no—
50C23×C3×D3—21no—
51C23×C3×D3—21no—
52C23×C3×D3—21no—
53C23×C3×D3—21no—
54C23×C3×D3—21no—
55C23×C3×D3—44no—
56C23×C3×D3D411yescharacteristic, complemented
57C23×C3×D3D412yescomplemented
58C23×C3×D3D411yescharacteristic, complemented
59C22×C32×C4—21no—
60C22×C3⋊Dic3—21no—
61C22×C3⋊Dic3D412yescomplemented
62C2×C3×#67—21no—
63C2×C3×#67—21no—
64C2×C3×#67—21no—
65C2×C3×#67—21no—
66C2×C3×#67—21no—
67C2×C3×#67—21no—
68C2×C3×#67—21no—
69C2×C3×#67—21no—
70C2×C3×#67—21no—
71C2×C3×#67—21no—
72C2×C3×#67—21no—
73C2×C3×#67—21no—
74C22×C3×Dic3—21no—
75C22×C3×Dic3D411yescharacteristic, complemented
76C22×C3×Dic3D411yescharacteristic, complemented
77C2×C3×D12—24no—
78C2×C3×D12—44no—
79C2×#625—24no—
80C2×#625—22no—
81C2×#625—44no—
82C32×C22⋊C4—21no—
83C32×C22⋊C4D412yescomplemented
84#3757—21no—
85#3757—21no—
86#3757—21no—
87#3757D412yescomplemented
88C3×#217—21no—
89C3×#217—21no—
90C3×(C2×D3)⋊C4—24no—
91#3724—22no—
92(C2×D3)⋊Dic3—24no—
93(C2×D3)⋊Dic3—22no—
94(C2×D3)⋊Dic3—22no—
95(C2×D3)⋊Dic3—44no—
96#2021—91noSylow
97C25×C3—31no—
98C24×D3C2×D311yescharacteristic
99C22×C3×D4—31no—
100C22×C3×D4—31no—
101C22×C3×D4—61no—
102C22×#67—61no—
103C22×#67—61no—
104C22×#67C2×D311yescharacteristic
105C22×#67C2×D311yescharacteristic
106C22×D12—21no—
107C3×#120—62no—
108C3×#120—62no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—31no—
111C2×C3×C22⋊C4—61no—
112C2×C3×C22⋊C4C2×D311yescharacteristic
113C2×C3×C22⋊C4C2×D311yescharacteristic
114#953—62no—
115#953—61no—
116#953—61no—
117#953—62no—
118C2×#217—31no—
119C2×#217—31no—
120C2×#217—31no—
121C2×#217—31no—
122C2×#217—61no—
123C2×#217—61no—
124C2×#217—61no—
125C2×#217—62no—
126C2×#217C2×D311yescharacteristic
127#939—62no—
128#939—62no—
129#937—62no—
130#937—61no—
131#937—62no—
132#937—61no—
133#935—61no—
134#935—61no—
135#929—61no—
136#929—61no—
137C2×(C2×D3)⋊C4—21no—
138C2×(C2×D3)⋊C4—61no—
139C2×(C2×D3)⋊C4—62no—
140#882—22no—
141#882—22no—
142C3×#99—62no—
143#834—62no—
144#806—22no—
145#806—62no—
146C23×C32—42no—
147C23×C32C2×D411yescharacteristic
148C23×C32C2×D411yescharacteristic
149C23×C32C2×D411yescharacteristic
150C23×C32C2×D411yescharacteristic
151C23×C32C2×D411yescharacteristic
152C23×C32C2×D411yescharacteristic
153C23×C32#4111yescharacteristic
154C22×C3×D3—24no—
155C22×C3×D3—24no—
156C22×C3×D3—24no—
157C22×C3×D3—22no—
158C22×C3×D3—22no—
159C22×C3×D3—22no—
160C22×C3×D3—21no—
161C22×C3×D3—21no—
162C22×C3×D3—21no—
163C22×C3×D3—21no—
164C22×C3×D3—21no—
165C22×C3×D3—21no—
166C22×C3×D3—44no—
167C22×C3×D3—44no—
168C22×C3×D3—44no—
169C22×C3×D3—44no—
170C22×C3×D3—42no—
171C22×C3×D3—42no—
172C22×C3×D3—42no—
173C22×C3×D3—41no—
174C22×C3×D3—41no—
175C22×C3×D3—41no—
176C22×C3×D3—41no—
177C22×C3×D3—42no—
178C22×C3×D3—42no—
179C2×C32×C4—22no—
180C2×C32×C4—42no—
181C2×C3⋊Dic3—22no—
182C2×C3⋊Dic3—22no—
183C2×C3⋊Dic3—42no—
184C2×C3⋊Dic3—42no—
185C3×#67—41no—
186C3×#67—41no—
187C3×#67—41no—
188C3×#67—41no—
189C3×#67—41no—
190C3×#67—41no—
191C3×#67—41no—
192C3×#67—41no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—42no—
200C2×C3×Dic3—41no—
201C3×D12—48no—
202#625—48no—
203#625—82no—
204#534—91no—
205C2×#120—31no—
206C2×#120—91no—
207C2×#99—31no—
208C2×#99—91no—
209#379—91no—
210#342—91no—
211C24×C3—21no—
212C24×C3—32no—
213C24×C3—31no—
214C24×C3—31no—
215C24×C3—61no—
216C24×C3—61no—
217C24×C3—61no—
218C24×C3—61no—
219C24×C3—61no—
220C24×C3—61no—
221C24×C3—124no—
222C24×C3C22×D311yescharacteristic
223C24×C3C22×D311yescharacteristic
224C23×D3—21no—
225C23×D3—21no—
226C23×D3—21no—
227C23×D3—21no—
228C23×D3—21no—
229C23×D3—21no—
230C23×D3—44no—
231C23×D3D1211yescharacteristic, complemented
232C23×D3#6712yescomplemented
233C23×D3#6711yescharacteristic, complemented
234C2×C3×D4—64no—
235C2×C3×D4—61no—
236C2×C3×D4—61no—
237C2×C3×D4—61no—
238C2×C3×D4—61no—
239C2×C3×D4—61no—
240C2×C3×D4—61no—
241C2×C3×D4—61no—
242C2×C3×D4—61no—
243C2×C3×D4—61no—
244C2×C3×D4—61no—
245C2×C3×D4—61no—
246C2×C3×D4—61no—
247C2×C3×D4—124no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—31no—
251C22×C3×C4—31no—
252C22×C3×C4—41no—
253C22×C3×C4—61no—
254C2×#67—21no—
255C2×#67—21no—
256C2×#67—21no—
257C2×#67—21no—
258C2×#67—21no—
259C2×#67—21no—
260C2×#67—21no—
261C2×#67—21no—
262C2×#67—21no—
263C2×#67—21no—
264C2×#67—21no—
265C2×#67—21no—
266C2×#67—64no—
267C2×#67—64no—
268C2×#67—62no—
269C2×#67—62no—
270C2×#67—124no—
271C2×#67—124no—
272C22×Dic3—21no—
273C22×Dic3—32no—
274C22×Dic3—32no—
275C22×Dic3—62no—
276C22×Dic3—61no—
277C22×Dic3—61no—
278C22×Dic3—121no—
279C22×Dic3D1211yescharacteristic, complemented
280C22×Dic3#6711yescharacteristic, complemented
281C2×D12—24no—
282C2×D12—44no—
283C3×C22⋊C4—21no—
284C3×C22⋊C4—21no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—41no—
287C3×C22⋊C4—64no—
288C3×C22⋊C4—61no—
289C3×C22⋊C4—61no—
290C3×C22⋊C4#6712yescomplemented
291C3×C22⋊C4#6712yescomplemented
292#217—21no—
293#217—21no—
294#217—32no—
295#217—32no—
296#217—62no—
297#217—62no—
298#217—62no—
299#217—64no—
300#217—61no—
301#217—61no—
302#217—61no—
303#217—61no—
304#217—61no—
305#217—61no—
306#217—121no—
307#217—121no—
308#217—121no—
309#217—124no—
310(C2×D3)⋊C4—24no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—62no—
314(C2×D3)⋊C4—124no—
315Dic3⋊C4—62no—
316Dic3⋊C4—62no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32—22no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32—41no—
323C22×C32—41no—
324C22×C32#12011yescharacteristic
325C22×C32#12011yescharacteristic
326C22×C32#12011yescharacteristic
327C22×C32#12111yescharacteristic
328C22×C32#12111yescharacteristic
329C22×C32#12111yescharacteristic
330C22×C32#12711yescharacteristic
331C2×C3×D3—24no—
332C2×C3×D3—24no—
333C2×C3×D3—24no—
334C2×C3×D3—44no—
335C2×C3×D3—42no—
336C2×C3×D3—42no—
337C2×C3×D3—42no—
338C2×C3×D3—44no—
339C2×C3×D3—44no—
340C2×C3×D3—42no—
341C2×C3×D3—44no—
342C2×C3×D3—42no—
343C2×C3×D3—42no—
344C2×C3×D3—41no—
345C2×C3×D3—41no—
346C2×C3×D3—42no—
347C2×C3×D3—42no—
348C2×C3×D3—81no—
349C2×C3×D3—81no—
350C32×C4—42no—
351C3⋊Dic3—42no—
352C3⋊Dic3—42no—
353C3×Dic3—41no—
354C3×Dic3—41no—
355C3×Dic3—81no—
356C25—31no—
357C22×D4—31no—
358C22×D4—31no—
359C22×D4—61no—
360C22×D4—181no—
361#123—181no—
362#123—181no—
363#121—182no—
364#120—62no—
365#120—62no—
366#120—182no—
367#120—182no—
368#120—181no—
369#120—181no—
370C2×C22⋊C4—31no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—91no—
373C2×C22⋊C4—91no—
374C2×C22⋊C4—181no—
375C2×C22⋊C4—182no—
376C2×C22⋊C4D3211yescharacteristic
377#99—62no—
378#99—182no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—64no—
389C23×C3—64no—
390C23×C3—64no—
391C23×C3—62no—
392C23×C3—62no—
393C23×C3—62no—
394C23×C3—61no—
395C23×C3—61no—
396C23×C3—61no—
397C23×C3—61no—
398C23×C3—61no—
399C23×C3—61no—
400C23×C3—82no—
401C23×C3—122no—
402C23×C3—122no—
403C23×C3—122no—
404C23×C3—122no—
405C23×C3—122no—
406C23×C3—124no—
407C23×C3—124no—
408C23×C3—124no—
409C23×C3—124no—
410C23×C3—121no—
411C23×C3—121no—
412C23×C3—121no—
413C23×C3—121no—
414C23×C3C2×D1211yescharacteristic
415C23×C3#23511yescharacteristic
416C23×C3D3×D411yescharacteristic
417C23×C3D3×D411yescharacteristic
418C23×C3D3×D411yescharacteristic
419C23×C3D3×D411yescharacteristic
420C23×C3D3×D411yescharacteristic
421C23×C3D3×D411yescharacteristic
422C23×C3D3×D411yescharacteristic
423C23×C3#23711yescharacteristic
424C23×C3C2×#6711yescharacteristic
425C23×C3C2×#6711yescharacteristic
426C23×C3C2×#6711yescharacteristic
427C23×C3C2×#6711yescharacteristic
428C22×D3—24no—
429C22×D3—24no—
430C22×D3—24no—
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—21no—
435C22×D3—21no—
436C22×D3—21no—
437C22×D3—21no—
438C22×D3—21no—
439C22×D3—21no—
440C22×D3—44no—
441C22×D3—44no—
442C22×D3—44no—
443C22×D3—44no—
444C22×D3—42no—
445C22×D3—42no—
446C22×D3—42no—
447C22×D3—41no—
448C22×D3—41no—
449C22×D3—41no—
450C22×D3—41no—
451C22×D3—42no—
452C22×D3—42no—
453C3×D4—128no—
454C3×D4—121no—
455C3×D4—121no—
456C3×D4—121no—
457C3×D4—121no—
458C3×D4—121no—
459C3×D4—121no—
460C3×D4—121no—
461C3×D4—121no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—42no—
465C2×C3×C4—42no—
466C2×C3×C4—42no—
467C2×C3×C4—61no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—82no—
474C2×C3×C4—122no—
475C2×C3×C4—121no—
476#67—41no—
477#67—41no—
478#67—41no—
479#67—41no—
480#67—41no—
481#67—41no—
482#67—41no—
483#67—41no—
484#67—128no—
485#67—128no—
486#67—242no—
487#67—242no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—42no—
495C2×Dic3—41no—
496C2×Dic3—62no—
497C2×Dic3—62no—
498C2×Dic3—62no—
499C2×Dic3—62no—
500C2×Dic3—122no—
501C2×Dic3—122no—
502C2×Dic3—122no—
503C2×Dic3—122no—
504C2×Dic3—122no—
505C2×Dic3—122no—
506C2×Dic3—242no—
507C2×Dic3—242no—
508D12—48no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—21no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32#39211yescharacteristic
516C2×C32B(4,𝔽2)12yes—
517C3×D3—44no—
518C3×D3—81no—
519C3×D3—81no—
520C24—31no—
521C24—32no—
522C24—31no—
523C24—61no—
524C24—61no—
525C24—61no—
526C24—61no—
527C24—61no—
528C24—61no—
529C24—124no—
530C24C2×D3211yescharacteristic
531C2×D4—64no—
532C2×D4—61no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4—61no—
536C2×D4—61no—
537C2×D4—61no—
538C2×D4—61no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—61no—
544C2×D4—124no—
545C2×D4—184no—
546C2×D4—182no—
547C2×D4—364no—
548C22×C4—21no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—61no—
552C22×C4—92no—
553C22×C4—181no—
554C4⋊C4—182no—
555C22⋊C4—21no—
556C22⋊C4—64no—
557C22⋊C4—61no—
558C22⋊C4—61no—
559C22⋊C4—92no—
560C22⋊C4—184no—
561C22⋊C4—182no—
562C22⋊C4—182no—
563C22⋊C4—181no—
564C22⋊C4—181no—
565C22⋊C4—181no—
566C22⋊C4—364no—
567C22⋊C4#62512yescomplemented
568C22×C3—22no—
569C22×C3—22no—
570C22×C3—22no—
571C22×C3—22no—
572C22×C3—22no—
573C22×C3—22no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—21no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—64no—
593C22×C3—64no—
594C22×C3—64no—
595C22×C3—81no—
596C22×C3—81no—
597C22×C3—81no—
598C22×C3—81no—
599C22×C3—124no—
600C22×C3—122no—
601C22×C3—122no—
602C22×C3—124no—
603C22×C3—122no—
604C22×C3—124no—
605C22×C3—122no—
606C22×C3—122no—
607C22×C3—122no—
608C22×C3—124no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—122no—
612C22×C3—122no—
613C22×C3—241no—
614C22×C3—241no—
615C22×C3#88211yescharacteristic
616C22×C3#88211yescharacteristic
617C22×C3#88411yescharacteristic
618C22×C3#88411yescharacteristic
619C22×C3#93011yescharacteristic
620C22×C3#93711yescharacteristic
621C22×C3#93711yescharacteristic
622C22×C3#93711yescharacteristic
623C22×C3#93811yescharacteristic
624C22×C3#93911yescharacteristic
625C22×C3#93911yescharacteristic
626C22×C3#94011yescharacteristic
627C22×C3#94011yescharacteristic
628C22×C3#95311yescharacteristic
629C2×D3—24no—
630C2×D3—24no—
631C2×D3—24no—
632C2×D3—42no—
633C2×D3—42no—
634C2×D3—44no—
635C2×D3—42no—
636C2×D3—44no—
637C2×D3—44no—
638C2×D3—42no—
639C2×D3—44no—
640C2×D3—42no—
641C2×D3—42no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—42no—
645C2×D3—42no—
646C2×D3—81no—
647C2×D3—81no—
648C3×C4—42no—
649C3×C4—42no—
650C3×C4—82no—
651C3×C4—121no—
652C3×C4—121no—
653C3×C4—241no—
654Dic3—41no—
655Dic3—41no—
656Dic3—81no—
657Dic3—122no—
658Dic3—122no—
659Dic3—122no—
660Dic3—122no—
661Dic3—242no—
662Dic3—242no—
663C32#202111yescharacteristic, complemented, Sylow
664C23—42no—
665C23—64no—
666C23—64no—
667C23—64no—
668C23—62no—
669C23—62no—
670C23—62no—
671C23—61no—
672C23—61no—
673C23—61no—
674C23—61no—
675C23—61no—
676C23—61no—
677C23—122no—
678C23—122no—
679C23—122no—
680C23—122no—
681C23—122no—
682C23—124no—
683C23—124no—
684C23—124no—
685C23—124no—
686C23—121no—
687C23—121no—
688C23—121no—
689C23—121no—
690C23#379511yescharacteristic
691C23D3×D1211yescharacteristic
692C23#380211yescharacteristic
693C23#380211yescharacteristic
694C23C2×#62511yescharacteristic
695C23D3×#6711yescharacteristic
696C23D3×#6711yescharacteristic
697D4—128no—
698D4—121no—
699D4—121no—
700D4—121no—
701D4—121no—
702D4—121no—
703D4—121no—
704D4—121no—
705D4—121no—
706D4—368no—
707D4—722no—
708C2×C4—22no—
709C2×C4—42no—
710C2×C4—61no—
711C2×C4—61no—
712C2×C4—61no—
713C2×C4—61no—
714C2×C4—61no—
715C2×C4—61no—
716C2×C4—122no—
717C2×C4—121no—
718C2×C4—182no—
719C2×C4—182no—
720C2×C4—362no—
721C2×C4—362no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—21no—
730C2×C3—21no—
731C2×C3—21no—
732C2×C3—21no—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—22no—
736C2×C3—41no—
737C2×C3—41no—
738C2×C3—41no—
739C2×C3—41no—
740C2×C3—41no—
741C2×C3—41no—
742C2×C3—124no—
743C2×C3—241no—
744C2×C3—241no—
745C2×C3#474112yes—
746C2×C3#496011yescharacteristic
747C2×C3#503212yes—
748C2×C3#522311yescharacteristic
749D3—44no—
750D3—81no—
751D3—81no—
752C22—22no—
753C22—22no—
754C22—22no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—64no—
760C22—64no—
761C22—64no—
762C22—122no—
763C22—124no—
764C22—122no—
765C22—122no—
766C22—124no—
767C22—124no—
768C22—122no—
769C22—122no—
770C22—122no—
771C22—124no—
772C22—121no—
773C22—121no—
774C22—122no—
775C22—122no—
776C22—241no—
777C22—241no—
778C22#6388511yescharacteristic
779C22#6388511yescharacteristic
780C22#6390811yescharacteristic
781C22#6391411yescharacteristic
782C22#6392211yescharacteristic
783C22#6392211yescharacteristic
784C22#6397611yescharacteristic
785C4—42no—
786C4—121no—
787C4—121no—
788C4—241no—
789C4—362no—
790C4—362no—
791C3—21no—
792C3#7003711yescharacteristic, complemented
793C3#7167111yescharacteristic, complemented
794C2—21no—
795C2—21no—
796C2—21no—
797C2—21no—
798C2—21no—
799C2—21no—
800C2—124no—
801C2—241no—
802C2—241no—
803C2#1059040712yes—
804C2#1059138911yescharacteristic
subgroupG/H
centerC22#63922
commutator, cosocleC24×C32C23
FrattiniC24C2×D32
FittingC2×C32×C22⋊C4C22
socleC22×C32#120
hypercenterC2×C22⋊C4D32
hypocenterC32#2021
LCSG ▷ C24×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C24 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#882C2semidirect
2. #10595518C2semidirect
3. C2×#63976C2semidirect
4. C2×C3×#806C2semidirect
5. #10591706C2semidirect
6. C2×#63580C2semidirect
7. #10589393C2semidirect
38. C2×#882D3semidirect
44. C2×#806D3semidirect
56. C23×C3×D3D4semidirect
57. C23×C3×D3D4semidirect
58. C23×C3×D3D4semidirect
61. C22×C3⋊Dic3D4semidirect
75. C22×C3×Dic3D4semidirect
76. C22×C3×Dic3D4semidirect
83. C32×C22⋊C4D4semidirect
87. #3757D4semidirect
231. C23×D3D12semidirect
232. C23×D3#67semidirect
233. C23×D3#67semidirect
279. C22×Dic3D12semidirect
280. C22×Dic3#67semidirect
290. C3×C22⋊C4#67semidirect
291. C3×C22⋊C4#67semidirect
567. C22⋊C4#625semidirect
663. C32#2021semidirect
792. C3#70037semidirect
793. C3#71671semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8822
#105955182
C2×#639762
C2×C3×#8062
#105917062
C2×#635802
#105893932
#716713
#700373