Finite Group Databasebeta

← #13139916

Subgroups — #13139916

Order 1728.

1098 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6195C211yesmaximal, characteristic, complemented
2C22×#6194C211yesmaximal, characteristic, complemented
3C22×#6192C211yesmaximal, characteristic, complemented
4C2×#88536C211yesmaximal, characteristic, complemented
5C2×C9×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C2×C3×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
7#11720331C211yesmaximal, characteristic, complemented
8#10591393—31nomaximal
9#10588640—31nomaximal
10C23×C3⋊D9C2211yescharacteristic
11C23×D3×C9C2211yescharacteristic
12C23×C3×D9C2211yescharacteristic
13C22×C3×C4×C9C2211yescharacteristic
14C22×C3⋊Dic9C2211yescharacteristic
15C22×C9×Dic3C2211yescharacteristic
16C22×C3×Dic9C2211yescharacteristic
17C2×#6195—22no—
18C2×#6195—22no—
19C2×#6195—22no—
20C2×#6194—22no—
21C2×#6194—22no—
22C2×#6194—22no—
23C2×#6192—22no—
24C2×#6192—22no—
25C2×#6192—22no—
26#88536—22no—
27C9×(C2×D3)⋊C4—22no—
28C3×(C2×D9)⋊C4—22no—
29C22×#626—31no—
30C22×#626—31no—
31C22×#625—31no—
32C2×#3752—31no—
33C2×C3×(C2×D3)⋊C4—31no—
34C2×C3×(C2×D3)⋊C4D311yescharacteristic
35C22×#611—31no—
36C22×#611—31no—
37C22×D36—31no—
38#63579—31no—
39C2×C9×C22⋊C4—31no—
40C2×(C2×D9)⋊C4—31no—
41C2×(C2×D9)⋊C4—61no—
42C2×(C2×D9)⋊C4D311yescharacteristic, complemented
43C9⋊#95—31no—
44C23×C3×C9C2311yescharacteristic
45C22×C3⋊D9—21no—
46C22×C3⋊D9—21no—
47C22×C3⋊D9—21no—
48C22×C3⋊D9—21no—
49C22×C3⋊D9—21no—
50C22×C3⋊D9—21no—
51C22×C3⋊D9D412yescomplemented
52C22×D3×C9—21no—
53C22×D3×C9—21no—
54C22×D3×C9—21no—
55C22×D3×C9—21no—
56C22×D3×C9—21no—
57C22×D3×C9—21no—
58C22×D3×C9D412yescomplemented
59C22×C3×D9—21no—
60C22×C3×D9—21no—
61C22×C3×D9—21no—
62C22×C3×D9—21no—
63C22×C3×D9—21no—
64C22×C3×D9—21no—
65C22×C3×D9D412yescomplemented
66C2×C3×C4×C9—21no—
67C2×C3×C4×C9—21no—
68C2×C3×C4×C9—21no—
69C2×C3⋊Dic9—21no—
70C2×C3⋊Dic9—21no—
71C2×C3⋊Dic9D412yescomplemented
72C2×C9×Dic3—21no—
73C2×C9×Dic3—21no—
74C2×C9×Dic3D412yescomplemented
75C2×C3×Dic9—21no—
76C2×C3×Dic9—21no—
77C2×C3×Dic9D412yescomplemented
78#6195—28no—
79#6194—28no—
80#6192—28no—
81#4960—91no—
82#4960—91no—
83C23×C3⋊D3—31no—
84C23×C3×D3—31no—
85C23×C3×D3C2×D311yescharacteristic
86C22×C32×C4C2×D311yescharacteristic
87C22×C3⋊Dic3—31no—
88C22×C3×Dic3—31no—
89C22×C3×Dic3C2×D311yescharacteristic
90C2×#626—62no—
91C2×#626—62no—
92C2×#626—62no—
93C2×#626—62no—
94C2×#626—62no—
95C2×#626—62no—
96C2×#625—62no—
97C2×#625—62no—
98C2×#625—62no—
99C24×C9—31no—
100C23×D9—31no—
101C23×D9—61no—
102C23×D9C2×D311yescharacteristic
103#3752—62no—
104C3×(C2×D3)⋊C4—22no—
105C3×(C2×D3)⋊C4—62no—
106C22×C4×C9—21no—
107C22×C4×C9—31no—
108C22×C4×C9C2×D311yescharacteristic
109C2×#611—62no—
110C2×#611—62no—
111C2×#611—62no—
112C2×#611—62no—
113C2×#611—62no—
114C2×#611—62no—
115C22×Dic9—31no—
116C22×Dic9—61no—
117C22×Dic9C2×D311yescharacteristic
118C2×D36—62no—
119C2×D36—62no—
120C2×D36—62no—
121C9×C22⋊C4—62no—
122(C2×D9)⋊C4—22no—
123(C2×D9)⋊C4—62no—
124(C2×D9)⋊C4—64no—
125C22×C3×C9C2×D411yescharacteristic
126C22×C3×C9C2×D411yescharacteristic
127C22×C3×C9C2×D411yescharacteristic
128C22×C3×C9C2×D411yescharacteristic
129C22×C3×C9C2×D411yescharacteristic
130C22×C3×C9C2×D411yescharacteristic
131C22×C3×C9#4111yescharacteristic
132C2×C3⋊D9—22no—
133C2×C3⋊D9—22no—
134C2×C3⋊D9—22no—
135C2×C3⋊D9—41no—
136C2×C3⋊D9—41no—
137C2×C3⋊D9—41no—
138C2×C3⋊D9—41no—
139C2×D3×C9—22no—
140C2×D3×C9—22no—
141C2×D3×C9—22no—
142C2×D3×C9—41no—
143C2×D3×C9—41no—
144C2×D3×C9—41no—
145C2×D3×C9—41no—
146C2×C3×D9—22no—
147C2×C3×D9—22no—
148C2×C3×D9—22no—
149C2×C3×D9—41no—
150C2×C3×D9—41no—
151C2×C3×D9—41no—
152C2×C3×D9—41no—
153C3×C4×C9—41no—
154C3⋊Dic9—22no—
155C9×Dic3—22no—
156C3×Dic9—22no—
157C22×#67—91no—
158C22×#67—91no—
159C22×#67—91no—
160C22×#67—91no—
161C22×D12—91no—
162C22×D12—91no—
163C2×C3×C22⋊C4—31no—
164C2×C3×C22⋊C4—91no—
165C2×(C2×D3)⋊C4—31no—
166C2×(C2×D3)⋊C4—91no—
167C2×(C2×D3)⋊C4—91no—
168C2×(C2×D3)⋊C4—181no—
169C2×(C2×D3)⋊C4D911yescharacteristic, complemented
170C3⋊#95—91no—
171C3⋊#95—91no—
172C23×C32C22×D311yescharacteristic
173C22×C3⋊D3—32no—
174C22×C3⋊D3—61no—
175C22×C3⋊D3—61no—
176C22×C3⋊D3—61no—
177C22×C3⋊D3—61no—
178C22×C3⋊D3—61no—
179C22×C3⋊D3—61no—
180C22×C3×D3—21no—
181C22×C3×D3—21no—
182C22×C3×D3—21no—
183C22×C3×D3—21no—
184C22×C3×D3—21no—
185C22×C3×D3—21no—
186C22×C3×D3—32no—
187C22×C3×D3—61no—
188C22×C3×D3—61no—
189C22×C3×D3—61no—
190C22×C3×D3—61no—
191C22×C3×D3—61no—
192C22×C3×D3—61no—
193C22×C3×D3D1212yes—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C3⋊Dic3—32no—
198C2×C3⋊Dic3—61no—
199C2×C3⋊Dic3—61no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—32no—
203C2×C3×Dic3—61no—
204C2×C3×Dic3—61no—
205C2×C3×Dic3#6712yes—
206#626—68no—
207#626—68no—
208#625—68no—
209C23×C9—21no—
210C23×C9—32no—
211C23×C9—61no—
212C23×C9—61no—
213C23×C9—61no—
214C23×C9—61no—
215C23×C9—61no—
216C23×C9—61no—
217C23×C9C22×D311yescharacteristic
218C22×D9—21no—
219C22×D9—21no—
220C22×D9—21no—
221C22×D9—21no—
222C22×D9—21no—
223C22×D9—21no—
224C22×D9—32no—
225C22×D9—62no—
226C22×D9—62no—
227C22×D9—62no—
228C22×D9—61no—
229C22×D9—61no—
230C22×D9—61no—
231C22×D9—61no—
232C22×D9—61no—
233C22×D9—61no—
234C22×D9—121no—
235C22×D9—121no—
236C22×D9—121no—
237C22×D9—121no—
238C22×D9D1212yescomplemented
239C2×C4×C9—22no—
240C2×C4×C9—21no—
241C2×C4×C9—21no—
242C2×C4×C9—21no—
243C2×C4×C9—32no—
244C2×C4×C9—41no—
245C2×C4×C9—41no—
246C2×C4×C9—61no—
247C2×C4×C9—61no—
248#611—68no—
249#611—68no—
250C2×Dic9—21no—
251C2×Dic9—21no—
252C2×Dic9—32no—
253C2×Dic9—62no—
254C2×Dic9—61no—
255C2×Dic9—61no—
256C2×Dic9—121no—
257C2×Dic9—121no—
258C2×Dic9#6712yescomplemented
259D36—68no—
260#392—271noSylow
261C2×C3×C9#12011yescharacteristic
262C2×C3×C9#12011yescharacteristic
263C2×C3×C9#12011yescharacteristic
264C2×C3×C9#12111yescharacteristic
265C2×C3×C9#12111yescharacteristic
266C2×C3×C9#12111yescharacteristic
267C2×C3×C9#12711yescharacteristic
268C3⋊D9—42no—
269D3×C9—42no—
270C3×D9—42no—
271C24×C3—31no—
272C24×C3—91no—
273C23×D3—31no—
274C23×D3—91no—
275C23×D3—91no—
276C23×D3—181no—
277C23×D3C2×D911yescharacteristic
278C22×C3×C4—21no—
279C22×C3×C4—31no—
280C22×C3×C4—91no—
281C22×C3×C4C2×D911yescharacteristic
282C22×C3×C4D3211yescharacteristic
283C2×#67—182no—
284C2×#67—182no—
285C2×#67—182no—
286C2×#67—182no—
287C2×#67—182no—
288C2×#67—182no—
289C2×#67—182no—
290C2×#67—182no—
291C2×#67—182no—
292C2×#67—182no—
293C2×#67—182no—
294C2×#67—182no—
295C22×Dic3—31no—
296C22×Dic3—91no—
297C22×Dic3—91no—
298C22×Dic3—181no—
299C22×Dic3C2×D911yescharacteristic
300C2×D12—182no—
301C2×D12—182no—
302C2×D12—182no—
303C2×D12—182no—
304C2×D12—182no—
305C2×D12—182no—
306C3×C22⋊C4—62no—
307C3×C22⋊C4—182no—
308(C2×D3)⋊C4—22no—
309(C2×D3)⋊C4—62no—
310(C2×D3)⋊C4—182no—
311(C2×D3)⋊C4—182no—
312(C2×D3)⋊C4—184no—
313C22×C32C2×D1211yescharacteristic
314C22×C32#23511yescharacteristic
315C22×C32D3×D411yescharacteristic
316C22×C32D3×D411yescharacteristic
317C22×C32D3×D411yescharacteristic
318C22×C32D3×D411yescharacteristic
319C22×C32C2×#6711yescharacteristic
320C2×C3⋊D3—62no—
321C2×C3⋊D3—62no—
322C2×C3⋊D3—62no—
323C2×C3⋊D3—121no—
324C2×C3⋊D3—121no—
325C2×C3⋊D3—121no—
326C2×C3⋊D3—121no—
327C2×C3×D3—22no—
328C2×C3×D3—22no—
329C2×C3×D3—22no—
330C2×C3×D3—41no—
331C2×C3×D3—41no—
332C2×C3×D3—41no—
333C2×C3×D3—41no—
334C2×C3×D3—62no—
335C2×C3×D3—62no—
336C2×C3×D3—62no—
337C2×C3×D3—121no—
338C2×C3×D3—121no—
339C2×C3×D3—121no—
340C2×C3×D3—121no—
341C32×C4—41no—
342C3⋊Dic3—62no—
343C3×Dic3—22no—
344C3×Dic3—62no—
345C22×C9—21no—
346C22×C9—21no—
347C22×C9—21no—
348C22×C9—21no—
349C22×C9—21no—
350C22×C9—21no—
351C22×C9—21no—
352C22×C9—62no—
353C22×C9—62no—
354C22×C9—62no—
355C22×C9—121no—
356C22×C9—121no—
357C22×C9—121no—
358C22×C9—121no—
359C22×C9C2×D1211yescharacteristic
360C22×C9#23511yescharacteristic
361C22×C9D3×D411yescharacteristic
362C22×C9D3×D411yescharacteristic
363C22×C9D3×D411yescharacteristic
364C22×C9D3×D411yescharacteristic
365C22×C9C2×#6711yescharacteristic
366C2×D9—22no—
367C2×D9—22no—
368C2×D9—22no—
369C2×D9—41no—
370C2×D9—41no—
371C2×D9—41no—
372C2×D9—41no—
373C2×D9—64no—
374C2×D9—62no—
375C2×D9—62no—
376C2×D9—62no—
377C2×D9—122no—
378C2×D9—122no—
379C2×D9—122no—
380C2×D9—122no—
381C2×D9—122no—
382C2×D9—122no—
383C2×D9—121no—
384C2×D9—121no—
385C2×D9—121no—
386C2×D9—121no—
387C4×C9—42no—
388C4×C9—41no—
389C4×C9—62no—
390Dic9—22no—
391Dic9—62no—
392Dic9—122no—
393C22×D4—271no—
394C22×D4—271no—
395C22×D4—271no—
396C2×C22⋊C4—31no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—271no—
399#95—271no—
400C3×C9#39211yescharacteristic, complemented, Sylow
401C23×C3—21no—
402C23×C3—32no—
403C23×C3—61no—
404C23×C3—61no—
405C23×C3—61no—
406C23×C3—61no—
407C23×C3—61no—
408C23×C3—61no—
409C23×C3—92no—
410C23×C3—181no—
411C23×C3—181no—
412C23×C3—181no—
413C23×C3—181no—
414C23×C3—181no—
415C23×C3—181no—
416C23×C3C22×D911yescharacteristic
417C23×C3C2×D3211yescharacteristic
418C22×D3—21no—
419C22×D3—21no—
420C22×D3—21no—
421C22×D3—21no—
422C22×D3—21no—
423C22×D3—21no—
424C22×D3—32no—
425C22×D3—61no—
426C22×D3—61no—
427C22×D3—61no—
428C22×D3—61no—
429C22×D3—61no—
430C22×D3—61no—
431C22×D3—92no—
432C22×D3—92no—
433C22×D3—182no—
434C22×D3—182no—
435C22×D3—182no—
436C22×D3—181no—
437C22×D3—181no—
438C22×D3—181no—
439C22×D3—181no—
440C22×D3—181no—
441C22×D3—181no—
442C22×D3—181no—
443C22×D3—181no—
444C22×D3—181no—
445C22×D3—181no—
446C22×D3—181no—
447C22×D3—181no—
448C22×D3—361no—
449C22×D3—361no—
450C22×D3—361no—
451C22×D3—361no—
452C22×D3D3612yescomplemented
453C2×C3×C4—22no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—32no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4—61no—
464C2×C3×C4—61no—
465C2×C3×C4—92no—
466C2×C3×C4—181no—
467C2×C3×C4—181no—
468#67—188no—
469#67—188no—
470#67—188no—
471#67—188no—
472C2×Dic3—21no—
473C2×Dic3—21no—
474C2×Dic3—32no—
475C2×Dic3—61no—
476C2×Dic3—61no—
477C2×Dic3—92no—
478C2×Dic3—92no—
479C2×Dic3—182no—
480C2×Dic3—181no—
481C2×Dic3—181no—
482C2×Dic3—181no—
483C2×Dic3—181no—
484C2×Dic3—361no—
485C2×Dic3—361no—
486C2×Dic3#61112yescomplemented
487D12—188no—
488D12—188no—
489C2×C32#88211yescharacteristic
490C2×C32#88211yescharacteristic
491C2×C32#88411yescharacteristic
492C2×C32#88411yescharacteristic
493C2×C32#93011yescharacteristic
494C2×C32#93711yescharacteristic
495C2×C32#94011yescharacteristic
496C3⋊D3—122no—
497C3×D3—42no—
498C3×D3—122no—
499C2×C9—21no—
500C2×C9—21no—
501C2×C9—21no—
502C2×C9—21no—
503C2×C9—21no—
504C2×C9—21no—
505C2×C9—21no—
506C2×C9—122no—
507C2×C9#88211yescharacteristic
508C2×C9#88211yescharacteristic
509C2×C9#88411yescharacteristic
510C2×C9#88411yescharacteristic
511C2×C9#93011yescharacteristic
512C2×C9#93711yescharacteristic
513C2×C9#94011yescharacteristic
514D9—42no—
515D9—124no—
516D9—122no—
517C24—31no—
518C24—91no—
519C24—271no—
520C2×D4—542no—
521C2×D4—542no—
522C2×D4—542no—
523C2×D4—542no—
524C2×D4—542no—
525C2×D4—542no—
526C2×D4—542no—
527C2×D4—542no—
528C2×D4—542no—
529C22×C4—31no—
530C22×C4—91no—
531C22×C4—271no—
532C22×C4D3×D911yescharacteristic
533C22⋊C4—62no—
534C22⋊C4—182no—
535C22⋊C4—542no—
536C22×C3—21no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—62no—
544C22×C3—62no—
545C22×C3—62no—
546C22×C3—121no—
547C22×C3—121no—
548C22×C3—121no—
549C22×C3—121no—
550C22×C3—182no—
551C22×C3—182no—
552C22×C3—182no—
553C22×C3—361no—
554C22×C3—361no—
555C22×C3—361no—
556C22×C3—361no—
557C22×C3C2×D3611yescharacteristic
558C22×C3#369711yescharacteristic
559C22×C3D4×D911yescharacteristic
560C22×C3D4×D911yescharacteristic
561C22×C3D4×D911yescharacteristic
562C22×C3D4×D911yescharacteristic
563C22×C3C2×#61111yescharacteristic
564C22×C3#379811yescharacteristic
565C22×C3D3×D1211yescharacteristic
566C22×C3D3×D1211yescharacteristic
567C22×C3#380211yescharacteristic
568C22×C3D3×#6711yescharacteristic
569C22×C3D3×#6711yescharacteristic
570C22×C3#381111yescharacteristic
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—121no—
585C2×D3—184no—
586C2×D3—182no—
587C2×D3—182no—
588C2×D3—182no—
589C2×D3—182no—
590C2×D3—182no—
591C2×D3—182no—
592C2×D3—362no—
593C2×D3—362no—
594C2×D3—362no—
595C2×D3—362no—
596C2×D3—362no—
597C2×D3—362no—
598C2×D3—361no—
599C2×D3—361no—
600C2×D3—361no—
601C2×D3—361no—
602C2×D3—361no—
603C2×D3—361no—
604C2×D3—361no—
605C2×D3—361no—
606C3×C4—42no—
607C3×C4—41no—
608C3×C4—41no—
609C3×C4—62no—
610C3×C4—182no—
611Dic3—22no—
612Dic3—62no—
613Dic3—182no—
614Dic3—182no—
615Dic3—362no—
616C32#496011yescharacteristic
617C9—21no—
618C9#496011yescharacteristic, complemented
619C23—32no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23—61no—
625C23—61no—
626C23—92no—
627C23—181no—
628C23—181no—
629C23—181no—
630C23—181no—
631C23—181no—
632C23—181no—
633C23—272no—
634C23—541no—
635C23—541no—
636C23—541no—
637C23—541no—
638C23—541no—
639C23—541no—
640C23C2×D3×D911yescharacteristic
641D4—548no—
642D4—548no—
643D4—548no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—32no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—92no—
651C2×C4—181no—
652C2×C4—181no—
653C2×C4—272no—
654C2×C4—541no—
655C2×C4—541no—
656C2×C3—21no—
657C2×C3—21no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—122no—
664C2×C3—362no—
665C2×C3#6344411yescharacteristic
666C2×C3#6344411yescharacteristic
667C2×C3#6344611yescharacteristic
668C2×C3#6344611yescharacteristic
669C2×C3#6349211yescharacteristic
670C2×C3#6349911yescharacteristic
671C2×C3#6350211yescharacteristic
672C2×C3#6390611yescharacteristic
673C2×C3#6390611yescharacteristic
674C2×C3#6391211yescharacteristic
675C2×C3#6392211yescharacteristic
676C2×C3#6392211yescharacteristic
677C2×C3#6392311yescharacteristic
678C2×C3#6397911yescharacteristic
679D3—42no—
680D3—122no—
681D3—364no—
682D3—362no—
683D3—362no—
684C22—62no—
685C22—62no—
686C22—62no—
687C22—121no—
688C22—121no—
689C22—121no—
690C22—121no—
691C22—182no—
692C22—182no—
693C22—182no—
694C22—361no—
695C22—361no—
696C22—361no—
697C22—361no—
698C22—542no—
699C22—542no—
700C22—542no—
701C22—1081no—
702C22—1081no—
703C22—1081no—
704C22—1081no—
705C22#8864011yescharacteristic
706C22D3×D3611yescharacteristic
707C22D9×D1211yescharacteristic
708C22#8864611yescharacteristic
709C22D3×#61111yescharacteristic
710C22D9×#6711yescharacteristic
711C22#8866811yescharacteristic
712C4—41no—
713C4—62no—
714C4—182no—
715C4—542no—
716C3—21no—
717C3#1058864011yescharacteristic, complemented
718C3#1059139311yescharacteristic
719C2—122no—
720C2—362no—
721C2—1082no—
722C2#1172103311yescharacteristic
723C2#1172103411yescharacteristic
724C2#1172104111yescharacteristic
725C2#1172104911yescharacteristic
726C2#1172105011yescharacteristic
727C2#1172105111yescharacteristic
728C2#1172128911yescharacteristic
subgroupG/H
centerC23C2×D3×D9
commutator, cosocleC23×C3×C9C23
FrattiniC23×C3C2×D32
FittingC22×C3×C4×C9C22
socleC23×C32C22×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9#392
LCSG ▷ C23×C3×C9 ▷ C3×C9
UCSC1 ◁ C23 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×#6195C2semidirect
2. C22×#6194C2semidirect
3. C22×#6192C2semidirect
4. C2×#88536C2semidirect
5. C2×C9×(C2×D3)⋊C4C2semidirect
6. C2×C3×(C2×D9)⋊C4C2semidirect
7. #11720331C2semidirect
42. C2×(C2×D9)⋊C4D3semidirect
51. C22×C3⋊D9D4semidirect
58. C22×D3×C9D4semidirect
65. C22×C3×D9D4semidirect
71. C2×C3⋊Dic9D4semidirect
74. C2×C9×Dic3D4semidirect
77. C2×C3×Dic9D4semidirect
169. C2×(C2×D3)⋊C4D9semidirect
238. C22×D9D12semidirect
258. C2×Dic9#67semidirect
400. C3×C9#392semidirect
452. C22×D3D36semidirect
486. C2×Dic3#611semidirect
618. C9#4960semidirect
717. C3#10588640semidirect

Maximal subgroups

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

subgroupindex
C22×#61952
C22×#61942
C22×#61922
C2×#885362
C2×C9×(C2×D3)⋊C42
C2×C3×(C2×D9)⋊C42
#117203312
#105913933
#105886403