Finite Group Databasebeta

← C3×#25773 #10644380

Subgroups — C3×#25773 #10644380

Order 768.

1770 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3496C211yesmaximal, characteristic, complemented
2C2×C3×#458C212yesmaximal, complemented
3C2×C3×B(4,𝔽2)C212yesmaximal, complemented
4C3×#2539C212yesmaximal, complemented
5C3×#2534C211yesmaximal, characteristic, complemented
6C3×#2022C212yesmaximal, complemented
7C3×#2021C212yesmaximal, complemented
8C3×#1964C212yesmaximal, complemented
9C3×C4×#99C211yesmaximal, characteristic, complemented
10#25773C311yesmaximal, characteristic, direct product factor, Sylow
11C2×C3×H(5,𝔽2)C2212yes—
12C3×#547—22no—
13C3×#546—24no—
14C3×D42—22no—
15C3×#537—21no—
16C3×#534—21no—
17C3×#534C2212yes—
18C3×#532—21no—
19C2×C3×#123C2211yescharacteristic
20C2×C3×#123C2214yescomplemented
21C2×C3×#121—21no—
22C2×C3×#121C2212yes—
23C2×C3×#120C2211yescharacteristic
24C2×C3×#120C2214yescomplemented
25C2×C3×C4×D4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic, complemented
27C3×#458—28no—
28C3×B(4,𝔽2)—28no—
29C2×C3×#99C2212yes—
30C2×C3×#99C2214yescomplemented
31C2×C3×#99C2214yescomplemented
32C3×#399—22no—
33C3×#396—21no—
34C3×#394—21no—
35C3×#392—22no—
36C3×#390—24no—
37C3×#388—21no—
38C3×#386—21no—
39C3×#381C2211yescharacteristic, complemented
40C3×#380C2211yescharacteristic, complemented
41C3×#379C2211yescharacteristic, complemented
42C3×C4×C22⋊C4C2212yescomplemented
43C3×#342C2212yescomplemented
44#3496C2×C311yescharacteristic, complemented
45C2×#458C2×C312yescomplemented
46C2×B(4,𝔽2)C2×C312yescomplemented
47#2539C2×C312yescomplemented
48#2534C2×C311yescharacteristic, complemented
49#2022C2×C312yescomplemented
50#2021C2×C312yescomplemented
51#1964C2×C312yescomplemented
52C4×#99C2×C311yescharacteristic, complemented
53C25×C3C2311yescharacteristic
54C3×H(5,𝔽2)—24no—
55C3×H(5,𝔽2)—24no—
56C3×H(5,𝔽2)—44no—
57C2×C3×#41—22no—
58C2×C3×#41—24no—
59C22×C3×D4—22no—
60C22×C3×D4—24no—
61C22×C3×D4—21no—
62C22×C3×D4—21no—
63C22×C3×D4—24no—
64C22×C3×D4D412yescomplemented
65C22×C3×D4C2314yes—
66C22×C3×D4C2311yescharacteristic
67C23×C3×C4D411yescharacteristic, complemented
68C23×C3×C4C2311yescharacteristic
69C23×C3×C4C2311yescharacteristic
70C3×C4⋊Q8—21no—
71C3×#127—21no—
72C3×#124—22no—
73C3×#123—24no—
74C3×#123—24no—
75C3×#123—24no—
76C3×#123—28no—
77C3×#123—44no—
78C3×C22⋊Q8—24no—
79C3×#121—22no—
80C3×#121—22no—
81C3×#121—24no—
82C3×#121—22no—
83C3×#121—22no—
84C3×#121—22no—
85C3×#121—22no—
86C3×#121—22no—
87C3×#121—22no—
88C3×#120—24no—
89C3×#120—24no—
90C3×#120—24no—
91C3×#120—28no—
92C3×#120—44no—
93C3×C4×D4—22no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—24no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4D411yescharacteristic, complemented
102C2×C3×C4⋊C4D412yescomplemented
103C2×C3×C22⋊C4—22no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—24no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—22no—
110C2×C3×C22⋊C4—24no—
111C2×C3×C22⋊C4—22no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4D414yescomplemented
115C2×C3×C22⋊C4D411yescharacteristic, complemented
116C2×C3×C22⋊C4C2311yescharacteristic
117C2×C3×C22⋊C4C2311yescharacteristic
118C2×C3×C22⋊C4C2311yescharacteristic
119C2×C3×C22⋊C4C2314yes—
120C2×C3×C42—22no—
121C2×C3×C42D411yescharacteristic, complemented
122C3×#99—28no—
123C3×#99—28no—
124C3×#99D418yescomplemented
125C3×#95—22no—
126C3×#95—21no—
127C3×#95—21no—
128C3×#95—21no—
129C2×H(5,𝔽2)C22×C312yes—
130#547—22no—
131#546—24no—
132D42—22no—
133#537—21no—
134#534—21no—
135#534C22×C312yes—
136#532—21no—
137C2×#123C22×C311yescharacteristic
138C2×#123C22×C314yescomplemented
139C2×#121—21no—
140C2×#121C22×C312yes—
141C2×#120C22×C311yescharacteristic
142C2×#120C22×C314yescomplemented
143C2×C4×D4C22×C311yescharacteristic
144C22×C22⋊C4C22×C311yescharacteristic, complemented
145#458—28no—
146B(4,𝔽2)—28no—
147C2×#99C22×C312yes—
148C2×#99C22×C314yescomplemented
149C2×#99C22×C314yescomplemented
150#399—22no—
151#396—21no—
152#394—21no—
153#392—22no—
154#390—24no—
155#388—21no—
156#386—21no—
157#381C22×C311yescharacteristic, complemented
158#380C22×C311yescharacteristic, complemented
159#379C22×C311yescharacteristic, complemented
160C4×C22⋊C4C22×C312yescomplemented
161#342C22×C312yescomplemented
162C24×C3—22no—
163C24×C3—21no—
164C24×C3—22no—
165C24×C3—22no—
166C24×C3—22no—
167C24×C3—42no—
168C24×C3—81no—
169C24×C3C2×D414yes—
170C24×C3C2×D411yescharacteristic
171C24×C3C2411yescharacteristic
172C3×#41—48no—
173C3×#41—48no—
174C3×#41—44no—
175C3×#41—44no—
176C2×C3×Q8—22no—
177C2×C3×D4—22no—
178C2×C3×D4—22no—
179C2×C3×D4—24no—
180C2×C3×D4—22no—
181C2×C3×D4—24no—
182C2×C3×D4—24no—
183C2×C3×D4—24no—
184C2×C3×D4—24no—
185C2×C3×D4—24no—
186C2×C3×D4—24no—
187C2×C3×D4—22no—
188C2×C3×D4—22no—
189C2×C3×D4—22no—
190C2×C3×D4—22no—
191C2×C3×D4—48no—
192C2×C3×D4—48no—
193C2×C3×D4—48no—
194C2×C3×D4—44no—
195C2×C3×D4—44no—
196C2×C3×D4—48no—
197C2×C3×D4—42no—
198C2×C3×D4—42no—
199C2×C3×D4—82no—
200C2×C3×D4—82no—
201C2×C3×D4—84no—
202C2×C3×D4—81no—
203C2×C3×D4C2×D414yes—
204C22×C3×C4—22no—
205C22×C3×C4—24no—
206C22×C3×C4—24no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—81no—
216C22×C3×C4—81no—
217C22×C3×C4C2×D414yes—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D412yes—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D411yescharacteristic
225C3×C4⋊C4—22no—
226C3×C4⋊C4—22no—
227C3×C4⋊C4—22no—
228C3×C4⋊C4—22no—
229C3×C4⋊C4—22no—
230C3×C4⋊C4—48no—
231C3×C4⋊C4—42no—
232C3×C4⋊C4—81no—
233C3×C22⋊C4—24no—
234C3×C22⋊C4—24no—
235C3×C22⋊C4—22no—
236C3×C22⋊C4—24no—
237C3×C22⋊C4—24no—
238C3×C22⋊C4—22no—
239C3×C22⋊C4—24no—
240C3×C22⋊C4—22no—
241C3×C22⋊C4—22no—
242C3×C22⋊C4—48no—
243C3×C22⋊C4—48no—
244C3×C22⋊C4—42no—
245C3×C22⋊C4—42no—
246C3×C22⋊C4—41no—
247C3×C22⋊C4—41no—
248C3×C22⋊C4—42no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—81no—
251C3×C22⋊C4C2×D418yescomplemented
252C3×C42—21no—
253C3×C42—21no—
254C3×C42—82no—
255C25C23×C311yescharacteristic
256H(5,𝔽2)—24no—
257H(5,𝔽2)—24no—
258H(5,𝔽2)—44no—
259C2×#41—22no—
260C2×#41—24no—
261C22×D4—22no—
262C22×D4—24no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4—24no—
266C22×D4C3×D412yescomplemented
267C22×D4C23×C314yes—
268C22×D4C23×C311yescharacteristic
269C23×C4C3×D411yescharacteristic, complemented
270C23×C4C23×C311yescharacteristic
271C23×C4C23×C311yescharacteristic
272C4⋊Q8—21no—
273#127—21no—
274#124—22no—
275#123—24no—
276#123—24no—
277#123—24no—
278#123—28no—
279#123—44no—
280C22⋊Q8—24no—
281#121—22no—
282#121—22no—
283#121—24no—
284#121—22no—
285#121—22no—
286#121—22no—
287#121—22no—
288#121—22no—
289#121—22no—
290#120—24no—
291#120—24no—
292#120—24no—
293#120—28no—
294#120—44no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4C3×D411yescharacteristic, complemented
304C2×C4⋊C4C3×D412yescomplemented
305C2×C22⋊C4—22no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4C3×D411yescharacteristic, complemented
317C2×C22⋊C4C3×D414yescomplemented
318C2×C22⋊C4C23×C311yescharacteristic
319C2×C22⋊C4C23×C311yescharacteristic
320C2×C22⋊C4C23×C311yescharacteristic
321C2×C22⋊C4C23×C314yes—
322C2×C42—22no—
323C2×C42C3×D411yescharacteristic, complemented
324#99—28no—
325#99—28no—
326#99C3×D418yescomplemented
327#95—22no—
328#95—21no—
329#95—21no—
330#95—21no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—22no—
334C23×C3—24no—
335C23×C3—24no—
336C23×C3—24no—
337C23×C3—24no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—44no—
345C23×C3—41no—
346C23×C3—42no—
347C23×C3—44no—
348C23×C3—44no—
349C23×C3—44no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—44no—
354C23×C3—84no—
355C23×C3—84no—
356C23×C3—82no—
357C23×C3—82no—
358C23×C3#12712yes—
359C23×C3C22×D411yescharacteristic
360C23×C3C22×D412yes—
361C23×C3C22×D412yes—
362C23×C3H(5,𝔽2)12yes—
363C3×Q8—44no—
364C3×D4—28no—
365C3×D4—44no—
366C3×D4—44no—
367C3×D4—48no—
368C3×D4—44no—
369C3×D4—44no—
370C3×D4—44no—
371C3×D4—44no—
372C3×D4—82no—
373C3×D4—82no—
374C3×D4—82no—
375C3×D4—816no—
376C3×D4—84no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—24no—
382C2×C3×C4—28no—
383C2×C3×C4—24no—
384C2×C3×C4—24no—
385C2×C3×C4—42no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—48no—
391C2×C3×C4—44no—
392C2×C3×C4—44no—
393C2×C3×C4—44no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—44no—
406C2×C3×C4—81no—
407C2×C3×C4#12011yescharacteristic
408C2×C3×C4#12011yescharacteristic
409C2×C3×C4#12012yes—
410C2×C3×C4#12712yes—
411C24—22no—
412C24—21no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—42no—
417C24—81no—
418C24C2×C3×D414yes—
419C24C2×C3×D411yescharacteristic
420C24C24×C311yescharacteristic
421#41—48no—
422#41—48no—
423#41—44no—
424#41—44no—
425C2×Q8—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—24no—
429C2×D4—22no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—48no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—82no—
449C2×D4—82no—
450C2×D4—84no—
451C2×D4—81no—
452C2×D4C2×C3×D414yes—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—81no—
465C22×C4—81no—
466C22×C4C2×C3×D414yes—
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C2×C3×D411yescharacteristic
469C22×C4C2×C3×D411yescharacteristic
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C2×C3×D412yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D411yescharacteristic
474C4⋊C4—22no—
475C4⋊C4—22no—
476C4⋊C4—22no—
477C4⋊C4—22no—
478C4⋊C4—22no—
479C4⋊C4—48no—
480C4⋊C4—42no—
481C4⋊C4—81no—
482C22⋊C4—24no—
483C22⋊C4—24no—
484C22⋊C4—22no—
485C22⋊C4—24no—
486C22⋊C4—24no—
487C22⋊C4—22no—
488C22⋊C4—24no—
489C22⋊C4—22no—
490C22⋊C4—22no—
491C22⋊C4—48no—
492C22⋊C4—48no—
493C22⋊C4—42no—
494C22⋊C4—42no—
495C22⋊C4—41no—
496C22⋊C4—41no—
497C22⋊C4—42no—
498C22⋊C4—42no—
499C22⋊C4—81no—
500C22⋊C4C2×C3×D418yescomplemented
501C42—21no—
502C42—21no—
503C42—82no—
504C22×C3—21no—
505C22×C3—22no—
506C22×C3—21no—
507C22×C3—22no—
508C22×C3—22no—
509C22×C3—42no—
510C22×C3—42no—
511C22×C3—42no—
512C22×C3—48no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—44no—
518C22×C3—44no—
519C22×C3—42no—
520C22×C3—44no—
521C22×C3—81no—
522C22×C3—84no—
523C22×C3—84no—
524C22×C3—84no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—164no—
530C22×C3C2×#12011yescharacteristic
531C22×C3C2×#12711yescharacteristic
532C22×C3#53511yescharacteristic
533C22×C3D4214yes—
534C3×C4—22no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—22no—
538C3×C4—48no—
539C3×C4—44no—
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C23—21no—
546C23—21no—
547C23—22no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—44no—
559C23—41no—
560C23—42no—
561C23—44no—
562C23—44no—
563C23—44no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—44no—
568C23—84no—
569C23—84no—
570C23—82no—
571C23—82no—
572C23C3×#12712yes—
573C23C22×C3×D411yescharacteristic
574C23C22×C3×D412yes—
575C23C22×C3×D412yes—
576C23C3×H(5,𝔽2)12yes—
577Q8—44no—
578D4—28no—
579D4—44no—
580D4—44no—
581D4—48no—
582D4—44no—
583D4—44no—
584D4—44no—
585D4—44no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—816no—
590D4—84no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—24no—
596C2×C4—28no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—48no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—44no—
620C2×C4—81no—
621C2×C4C3×#12011yescharacteristic
622C2×C4C3×#12011yescharacteristic
623C2×C4C3×#12012yes—
624C2×C4C3×#12712yes—
625C2×C3—24no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—42no—
629C2×C3—82no—
630C2×C3—84no—
631C2×C3#243311yescharacteristic
632C2×C3#302511yescharacteristic
633C2×C3#302611yescharacteristic
634C22—21no—
635C22—22no—
636C22—21no—
637C22—22no—
638C22—22no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—48no—
643C22—42no—
644C22—42no—
645C22—41no—
646C22—41no—
647C22—44no—
648C22—44no—
649C22—42no—
650C22—44no—
651C22—81no—
652C22—84no—
653C22—84no—
654C22—84no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—164no—
660C22C2×C3×#12011yescharacteristic
661C22C2×C3×#12711yescharacteristic
662C22C3×#53511yescharacteristic
663C22C3×D4214yes—
664C4—22no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—48no—
669C4—44no—
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—81no—
675C3#2577311yescharacteristic, direct product factor, Sylow
676C2—24no—
677C2—21no—
678C2—21no—
679C2—42no—
680C2—82no—
681C2—84no—
682C2C3×#243311yescharacteristic
683C2C3×#302511yescharacteristic
684C2C3×#302611yescharacteristic
subgroupG/H
center, socleC22×C3C2×#120
commutator, Frattini, cosocleC24C24×C3
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#3496C2semidirect
2. C2×C3×#458C2semidirect
3. C2×C3×B(4,𝔽2)C2semidirect
4. C3×#2539C2semidirect
5. C3×#2534C2semidirect
6. C3×#2022C2semidirect
7. C3×#2021C2semidirect
8. C3×#1964C2semidirect
9. C3×C4×#99C2semidirect
10. #25773C3direct (N × H)
20. C2×C3×#123C22semidirect
24. C2×C3×#120C22semidirect
26. C22×C3×C22⋊C4C22semidirect
30. C2×C3×#99C22semidirect
31. C2×C3×#99C22semidirect
39. C3×#381C22semidirect
40. C3×#380C22semidirect
41. C3×#379C22semidirect
42. C3×C4×C22⋊C4C22semidirect
43. C3×#342C22semidirect
44. #3496C2×C3semidirect
45. C2×#458C2×C3semidirect
46. C2×B(4,𝔽2)C2×C3semidirect
47. #2539C2×C3semidirect
48. #2534C2×C3semidirect
49. #2022C2×C3semidirect
50. #2021C2×C3semidirect
51. #1964C2×C3semidirect
52. C4×#99C2×C3semidirect
64. C22×C3×D4D4semidirect
67. C23×C3×C4D4semidirect
101. C2×C3×C4⋊C4D4semidirect
102. C2×C3×C4⋊C4D4semidirect
114. C2×C3×C22⋊C4D4semidirect
115. C2×C3×C22⋊C4D4semidirect
121. C2×C3×C42D4semidirect
124. C3×#99D4semidirect
138. C2×#123C22×C3semidirect
142. C2×#120C22×C3semidirect
144. C22×C22⋊C4C22×C3semidirect
148. C2×#99C22×C3semidirect
149. C2×#99C22×C3semidirect
157. #381C22×C3semidirect
158. #380C22×C3semidirect
159. #379C22×C3semidirect
160. C4×C22⋊C4C22×C3semidirect
161. #342C22×C3semidirect
251. C3×C22⋊C4C2×D4semidirect
266. C22×D4C3×D4semidirect
269. C23×C4C3×D4semidirect
303. C2×C4⋊C4C3×D4semidirect
304. C2×C4⋊C4C3×D4semidirect
316. C2×C22⋊C4C3×D4semidirect
317. C2×C22⋊C4C3×D4semidirect
323. C2×C42C3×D4semidirect
326. #99C3×D4semidirect
500. C22⋊C4C2×C3×D4semidirect
675. C3#25773direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34962
C2×C3×#4582
C2×C3×B(4,𝔽2)2
C3×#25392
C3×#25342
C3×#20222
C3×#20212
C3×#19642
C3×C4×#992
#257733