Finite Group Databasebeta

← #13141144

Subgroups — #13141144

Order 1728.

1202 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6233C211yesmaximal, characteristic, complemented
2C22×C9×#67C211yesmaximal, characteristic, complemented
3C22×#6195C211yesmaximal, characteristic, complemented
4C2×C3×#3676C211yesmaximal, characteristic, complemented
5C2×(C2×D3)⋊Dic9C211yesmaximal, characteristic, complemented
6C2×#88445C211yesmaximal, characteristic, complemented
7#11720331C211yesmaximal, characteristic, complemented
8#10591724—31nomaximal
9#10588903—31nomaximal
10C24×C3×C9C2211yescharacteristic
11C23×C3⋊D9C2211yescharacteristic
12C23×D3×C9C2211yescharacteristic
13C2×#6233—22no—
14C2×#6233—22no—
15C2×#6233—22no—
16C22×C3⋊Dic9C2211yescharacteristic
17C2×C9×#67—22no—
18C2×C9×#67—22no—
19C2×C9×#67—22no—
20C22×C9×Dic3C2211yescharacteristic
21C22×C3×Dic9C2211yescharacteristic
22C22×C3×Dic9C2211yescharacteristic
23C2×#6195—22no—
24C2×#6195—22no—
25C2×#6195—22no—
26C3×#3676—22no—
27(C2×D3)⋊Dic9—22no—
28#88445—22no—
29C22×#638—31no—
30C22×C3×#67D311yescharacteristic
31C22×#626—31no—
32C2×C3×#217—31no—
33C2×#3722—31no—
34C2×(C2×D3)⋊Dic3—31no—
35C22×D4×C9—31no—
36C22×#611—31no—
37C22×#611—31no—
38C22×#611—61no—
39#63579—31no—
40C2×#3676—31no—
41C2×#3676D311yescharacteristic, complemented
42C2×(C2×D9)⋊C4—31no—
43C9⋊#95—31no—
44C23×C3×C9—21no—
45C23×C3×C9—21no—
46C23×C3×C9—21no—
47C23×C3×C9—21no—
48C23×C3×C9—21no—
49C23×C3×C9—21no—
50C23×C3×C9D412yescomplemented
51C23×C3×C9C2311yescharacteristic
52C22×C3⋊D9—21no—
53C22×C3⋊D9—21no—
54C22×C3⋊D9—21no—
55C22×C3⋊D9—21no—
56C22×C3⋊D9—21no—
57C22×C3⋊D9—21no—
58C22×C3⋊D9D412yescomplemented
59C22×D3×C9—21no—
60C22×D3×C9—21no—
61C22×D3×C9—21no—
62C22×D3×C9—21no—
63C22×D3×C9—21no—
64C22×D3×C9—21no—
65C22×D3×C9D412yescomplemented
66#6233—28no—
67C2×C3⋊Dic9—21no—
68C2×C3⋊Dic9—21no—
69C2×C3⋊Dic9D412yescomplemented
70C9×#67—28no—
71C2×C9×Dic3—21no—
72C2×C9×Dic3—21no—
73C2×C9×Dic3D412yescomplemented
74C2×C3×Dic9—21no—
75C2×C3×Dic9—21no—
76C2×C3×Dic9—21no—
77C2×C3×Dic9—21no—
78C2×C3×Dic9—21no—
79C2×C3×Dic9D412yescomplemented
80#6195—28no—
81#5223—91no—
82#4960—91no—
83C24×C32C2×D311yescharacteristic
84C23×C3⋊D3—31no—
85C23×C3×D3C2×D311yescharacteristic
86C2×#638—62no—
87C2×#638—62no—
88C2×#638—62no—
89C22×C3⋊Dic3—31no—
90C2×C3×#67—22no—
91C2×C3×#67—22no—
92C2×C3×#67—22no—
93C22×C3×Dic3—31no—
94C22×C3×Dic3—31no—
95C22×C3×Dic3C2×D311yescharacteristic
96C2×#626—62no—
97C2×#626—62no—
98C2×#626—62no—
99C24×C9—21no—
100C24×C9—31no—
101C24×C9C2×D311yescharacteristic
102C23×D9—31no—
103C23×D9—61no—
104C3×#217—62no—
105#3722—62no—
106(C2×D3)⋊Dic3—62no—
107C2×D4×C9—62no—
108C2×D4×C9—62no—
109C2×D4×C9—62no—
110C22×C4×C9—31no—
111C2×#611—62no—
112C2×#611—62no—
113C2×#611—62no—
114C2×#611—62no—
115C2×#611—64no—
116C2×#611—64no—
117C2×#611—64no—
118C2×#611—62no—
119C2×#611—62no—
120C22×Dic9—31no—
121C22×Dic9—61no—
122C22×Dic9C2×D311yescharacteristic
123C22×Dic9C2×D311yescharacteristic
124#3676—22no—
125#3676—62no—
126(C2×D9)⋊C4—62no—
127C22×C3×C9—22no—
128C22×C3×C9—22no—
129C22×C3×C9—22no—
130C22×C3×C9—41no—
131C22×C3×C9—41no—
132C22×C3×C9—41no—
133C22×C3×C9—41no—
134C22×C3×C9C2×D411yescharacteristic
135C22×C3×C9C2×D411yescharacteristic
136C22×C3×C9C2×D411yescharacteristic
137C22×C3×C9C2×D411yescharacteristic
138C22×C3×C9C2×D411yescharacteristic
139C22×C3×C9C2×D411yescharacteristic
140C22×C3×C9#4111yescharacteristic
141C2×C3⋊D9—22no—
142C2×C3⋊D9—22no—
143C2×C3⋊D9—22no—
144C2×C3⋊D9—41no—
145C2×C3⋊D9—41no—
146C2×C3⋊D9—41no—
147C2×C3⋊D9—41no—
148C2×D3×C9—22no—
149C2×D3×C9—22no—
150C2×D3×C9—22no—
151C2×D3×C9—41no—
152C2×D3×C9—41no—
153C2×D3×C9—41no—
154C2×D3×C9—41no—
155C3⋊Dic9—22no—
156C9×Dic3—22no—
157C3×Dic9—22no—
158C3×Dic9—41no—
159C22×C3×D4—31no—
160C22×#67—91no—
161C22×#67—91no—
162C22×#67—91no—
163C22×#67—181no—
164C22×#67D911yescharacteristic, complemented
165C22×D12—91no—
166C2×C3×C22⋊C4—91no—
167C2×#217—31no—
168C2×#217—91no—
169C2×(C2×D3)⋊C4—91no—
170C2×(C2×D3)⋊C4—91no—
171C2×(C2×D3)⋊C4—91no—
172C3⋊#95—91no—
173C3⋊#95—91no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—21no—
177C23×C32—21no—
178C23×C32—21no—
179C23×C32—21no—
180C23×C32#6712yes—
181C23×C32C22×D311yescharacteristic
182C22×C3⋊D3—32no—
183C22×C3⋊D3—61no—
184C22×C3⋊D3—61no—
185C22×C3⋊D3—61no—
186C22×C3⋊D3—61no—
187C22×C3⋊D3—61no—
188C22×C3⋊D3—61no—
189C22×C3×D3—21no—
190C22×C3×D3—21no—
191C22×C3×D3—21no—
192C22×C3×D3—21no—
193C22×C3×D3—21no—
194C22×C3×D3—21no—
195C22×C3×D3#6712yes—
196#638—68no—
197C2×C3⋊Dic3—32no—
198C2×C3⋊Dic3—61no—
199C2×C3⋊Dic3—61no—
200C3×#67—28no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—32no—
204C2×C3×Dic3—61no—
205C2×C3×Dic3—61no—
206C2×C3×Dic3—61no—
207C2×C3×Dic3—61no—
208C2×C3×Dic3—61no—
209C2×C3×Dic3#6712yes—
210#626—68no—
211C23×C9—22no—
212C23×C9—22no—
213C23×C9—21no—
214C23×C9—21no—
215C23×C9—21no—
216C23×C9—21no—
217C23×C9—21no—
218C23×C9—21no—
219C23×C9—22no—
220C23×C9—21no—
221C23×C9—32no—
222C23×C9—41no—
223C23×C9—41no—
224C23×C9—41no—
225C23×C9—41no—
226C23×C9—61no—
227C23×C9—61no—
228C23×C9—61no—
229C23×C9—61no—
230C23×C9—61no—
231C23×C9—61no—
232C23×C9D1212yescomplemented
233C23×C9C22×D311yescharacteristic
234C22×D9—32no—
235C22×D9—62no—
236C22×D9—62no—
237C22×D9—62no—
238C22×D9—61no—
239C22×D9—61no—
240C22×D9—61no—
241C22×D9—61no—
242C22×D9—61no—
243C22×D9—61no—
244C22×D9—121no—
245C22×D9—121no—
246C22×D9—121no—
247C22×D9—121no—
248D4×C9—68no—
249C2×C4×C9—32no—
250C2×C4×C9—61no—
251C2×C4×C9—61no—
252#611—68no—
253#611—616no—
254#611—68no—
255C2×Dic9—21no—
256C2×Dic9—21no—
257C2×Dic9—21no—
258C2×Dic9—21no—
259C2×Dic9—21no—
260C2×Dic9—32no—
261C2×Dic9—62no—
262C2×Dic9—62no—
263C2×Dic9—62no—
264C2×Dic9—61no—
265C2×Dic9—61no—
266C2×Dic9#6712yescomplemented
267#392—271noSylow
268C2×C3×C9—42no—
269C2×C3×C9#12011yescharacteristic
270C2×C3×C9#12011yescharacteristic
271C2×C3×C9#12011yescharacteristic
272C2×C3×C9#12111yescharacteristic
273C2×C3×C9#12111yescharacteristic
274C2×C3×C9#12111yescharacteristic
275C2×C3×C9#12711yescharacteristic
276C3⋊D9—42no—
277D3×C9—42no—
278C24×C3—21no—
279C24×C3—31no—
280C24×C3C2×D911yescharacteristic
281C24×C3D3211yescharacteristic
282C23×D3—91no—
283C23×D3—91no—
284C23×D3—181no—
285C23×D3C2×D911yescharacteristic
286C2×C3×D4—62no—
287C2×C3×D4—62no—
288C2×C3×D4—62no—
289C22×C3×C4—31no—
290C22×C3×C4—91no—
291C22×C3×C4—91no—
292C2×#67—22no—
293C2×#67—22no—
294C2×#67—22no—
295C2×#67—182no—
296C2×#67—182no—
297C2×#67—182no—
298C2×#67—182no—
299C2×#67—182no—
300C2×#67—182no—
301C2×#67—182no—
302C2×#67—184no—
303C2×#67—184no—
304C2×#67—184no—
305C2×#67—182no—
306C2×#67—182no—
307C22×Dic3—31no—
308C22×Dic3—31no—
309C22×Dic3—91no—
310C22×Dic3—91no—
311C22×Dic3—181no—
312C22×Dic3C2×D911yescharacteristic
313C2×D12—182no—
314C2×D12—182no—
315C2×D12—182no—
316C3×C22⋊C4—182no—
317#217—62no—
318#217—182no—
319(C2×D3)⋊C4—182no—
320(C2×D3)⋊C4—182no—
321(C2×D3)⋊C4—182no—
322C22×C32—22no—
323C22×C32—22no—
324C22×C32—22no—
325C22×C32—41no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32D3×D411yescharacteristic
330C22×C32D3×D411yescharacteristic
331C22×C32D3×D411yescharacteristic
332C22×C32#23711yescharacteristic
333C22×C32C2×#6711yescharacteristic
334C22×C32C2×#6711yescharacteristic
335C22×C32C2×#6711yescharacteristic
336C2×C3⋊D3—62no—
337C2×C3⋊D3—62no—
338C2×C3⋊D3—62no—
339C2×C3⋊D3—121no—
340C2×C3⋊D3—121no—
341C2×C3⋊D3—121no—
342C2×C3⋊D3—121no—
343C2×C3×D3—22no—
344C2×C3×D3—22no—
345C2×C3×D3—22no—
346C2×C3×D3—41no—
347C2×C3×D3—41no—
348C2×C3×D3—41no—
349C2×C3×D3—41no—
350C3⋊Dic3—62no—
351C3×Dic3—22no—
352C3×Dic3—62no—
353C3×Dic3—121no—
354C22×C9—24no—
355C22×C9—22no—
356C22×C9—22no—
357C22×C9—22no—
358C22×C9—21no—
359C22×C9—21no—
360C22×C9—21no—
361C22×C9—21no—
362C22×C9—21no—
363C22×C9—21no—
364C22×C9—21no—
365C22×C9—42no—
366C22×C9—42no—
367C22×C9—42no—
368C22×C9—42no—
369C22×C9—42no—
370C22×C9—42no—
371C22×C9—41no—
372C22×C9—41no—
373C22×C9—41no—
374C22×C9—41no—
375C22×C9—62no—
376C22×C9—62no—
377C22×C9—62no—
378C22×C9—121no—
379C22×C9—121no—
380C22×C9—121no—
381C22×C9—121no—
382C22×C9C2×D1211yescharacteristic
383C22×C9#23511yescharacteristic
384C22×C9D3×D411yescharacteristic
385C22×C9D3×D411yescharacteristic
386C22×C9D3×D411yescharacteristic
387C22×C9D3×D411yescharacteristic
388C22×C9C2×#6711yescharacteristic
389C2×D9—64no—
390C2×D9—62no—
391C2×D9—62no—
392C2×D9—62no—
393C2×D9—122no—
394C2×D9—122no—
395C2×D9—122no—
396C2×D9—122no—
397C2×D9—122no—
398C2×D9—122no—
399C2×D9—121no—
400C2×D9—121no—
401C2×D9—121no—
402C2×D9—121no—
403C4×C9—62no—
404Dic9—22no—
405Dic9—41no—
406Dic9—64no—
407Dic9—62no—
408C22×D4—31no—
409C22×D4—271no—
410C22×D4—271no—
411C2×C22⋊C4—91no—
412C2×C22⋊C4—271no—
413C2×C22⋊C4—271no—
414#95—271no—
415C3×C9#39211yescharacteristic, complemented, Sylow
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—21no—
421C23×C3—21no—
422C23×C3—21no—
423C23×C3—21no—
424C23×C3—21no—
425C23×C3—21no—
426C23×C3—21no—
427C23×C3—21no—
428C23×C3—21no—
429C23×C3—21no—
430C23×C3—22no—
431C23×C3—21no—
432C23×C3—32no—
433C23×C3—41no—
434C23×C3—41no—
435C23×C3—41no—
436C23×C3—41no—
437C23×C3—61no—
438C23×C3—61no—
439C23×C3—61no—
440C23×C3—61no—
441C23×C3—61no—
442C23×C3—61no—
443C23×C3#61112yescomplemented
444C23×C3C22×D911yescharacteristic
445C23×C3#62612yes—
446C23×C3C2×D3211yescharacteristic
447C22×D3—21no—
448C22×D3—21no—
449C22×D3—21no—
450C22×D3—21no—
451C22×D3—21no—
452C22×D3—21no—
453C22×D3—92no—
454C22×D3—92no—
455C22×D3—182no—
456C22×D3—182no—
457C22×D3—182no—
458C22×D3—181no—
459C22×D3—181no—
460C22×D3—181no—
461C22×D3—181no—
462C22×D3—181no—
463C22×D3—181no—
464C22×D3—181no—
465C22×D3—181no—
466C22×D3—181no—
467C22×D3—181no—
468C22×D3—181no—
469C22×D3—181no—
470C22×D3—361no—
471C22×D3—361no—
472C22×D3—361no—
473C22×D3—361no—
474C22×D3#61112yescomplemented
475C3×D4—68no—
476C2×C3×C4—32no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—92no—
480C2×C3×C4—181no—
481C2×C3×C4—181no—
482C2×C3×C4—181no—
483C2×C3×C4—181no—
484C2×C3×C4—181no—
485#67—28no—
486#67—188no—
487#67—188no—
488#67—1816no—
489#67—188no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—32no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—92no—
499C2×Dic3—92no—
500C2×Dic3—182no—
501C2×Dic3—182no—
502C2×Dic3—182no—
503C2×Dic3—181no—
504C2×Dic3—181no—
505C2×Dic3—181no—
506C2×Dic3—181no—
507C2×Dic3#61112yescomplemented
508D12—188no—
509C2×C32—42no—
510C2×C32#93711yescharacteristic
511C2×C32#93711yescharacteristic
512C2×C32#93811yescharacteristic
513C2×C32#93911yescharacteristic
514C2×C32#93911yescharacteristic
515C2×C32#94011yescharacteristic
516C2×C32#95311yescharacteristic
517C3⋊D3—122no—
518C3×D3—42no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—21no—
522C2×C9—21no—
523C2×C9—21no—
524C2×C9—21no—
525C2×C9—21no—
526C2×C9—44no—
527C2×C9—42no—
528C2×C9—122no—
529C2×C9#88211yescharacteristic
530C2×C9#88211yescharacteristic
531C2×C9#88411yescharacteristic
532C2×C9#88411yescharacteristic
533C2×C9#93011yescharacteristic
534C2×C9#93711yescharacteristic
535C2×C9#94011yescharacteristic
536D9—124no—
537D9—122no—
538C24—31no—
539C24—271no—
540C24D3×D911yescharacteristic
541C2×D4—62no—
542C2×D4—62no—
543C2×D4—62no—
544C2×D4—542no—
545C2×D4—542no—
546C2×D4—542no—
547C2×D4—542no—
548C2×D4—542no—
549C2×D4—542no—
550C22×C4—31no—
551C22×C4—91no—
552C22×C4—91no—
553C22×C4—271no—
554C22⋊C4—182no—
555C22⋊C4—542no—
556C22⋊C4—542no—
557C22×C3—24no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—62no—
586C22×C3—62no—
587C22×C3—62no—
588C22×C3—121no—
589C22×C3—121no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3D4×D911yescharacteristic
593C22×C3D4×D911yescharacteristic
594C22×C3D4×D911yescharacteristic
595C22×C3#369911yescharacteristic
596C22×C3C2×#61111yescharacteristic
597C22×C3C2×#61111yescharacteristic
598C22×C3C2×#61111yescharacteristic
599C22×C3#380411yescharacteristic
600C22×C3C2×#62611yescharacteristic
601C22×C3D3×#6711yescharacteristic
602C22×C3D3×#6711yescharacteristic
603C22×C3D3×#6711yescharacteristic
604C22×C3#381111yescharacteristic
605C22×C3#381111yescharacteristic
606C2×D3—22no—
607C2×D3—22no—
608C2×D3—22no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—184no—
614C2×D3—182no—
615C2×D3—182no—
616C2×D3—182no—
617C2×D3—182no—
618C2×D3—182no—
619C2×D3—182no—
620C2×D3—362no—
621C2×D3—362no—
622C2×D3—362no—
623C2×D3—362no—
624C2×D3—362no—
625C2×D3—362no—
626C2×D3—361no—
627C2×D3—361no—
628C2×D3—361no—
629C2×D3—361no—
630C2×D3—361no—
631C2×D3—361no—
632C2×D3—361no—
633C2×D3—361no—
634C3×C4—62no—
635C3×C4—182no—
636C3×C4—361no—
637Dic3—22no—
638Dic3—62no—
639Dic3—121no—
640Dic3—184no—
641Dic3—182no—
642Dic3—182no—
643C32#522311yescharacteristic
644C9—21no—
645C9#496011yescharacteristic, complemented
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—32no—
653C23—61no—
654C23—61no—
655C23—61no—
656C23—61no—
657C23—61no—
658C23—61no—
659C23—272no—
660C23—541no—
661C23—541no—
662C23—541no—
663C23—541no—
664C23—541no—
665C23—541no—
666C23#619512yescomplemented
667C23C2×D3×D911yescharacteristic
668D4—68no—
669D4—548no—
670D4—548no—
671C2×C4—32no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—92no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—181no—
679C2×C4—181no—
680C2×C4—272no—
681C2×C4—541no—
682C2×C4—541no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—21no—
690C2×C3—44no—
691C2×C3—42no—
692C2×C3—42no—
693C2×C3—122no—
694C2×C3#6349911yescharacteristic
695C2×C3#6349911yescharacteristic
696C2×C3#6350011yescharacteristic
697C2×C3#6350111yescharacteristic
698C2×C3#6350111yescharacteristic
699C2×C3#6350211yescharacteristic
700C2×C3#6351511yescharacteristic
701C2×C3#6395811yescharacteristic
702C2×C3#6397111yescharacteristic
703C2×C3#6397711yescharacteristic
704C2×C3#6397811yescharacteristic
705C2×C3#6397911yescharacteristic
706C2×C3#6398111yescharacteristic
707C2×C3#6398311yescharacteristic
708D3—42no—
709D3—364no—
710D3—362no—
711D3—362no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—62no—
720C22—62no—
721C22—62no—
722C22—121no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22—542no—
727C22—542no—
728C22—542no—
729C22—1081no—
730C22—1081no—
731C22—1081no—
732C22—1081no—
733C22#8866211yescharacteristic
734C22C2×#619511yescharacteristic
735C22D3×#61111yescharacteristic
736C22D3×#61111yescharacteristic
737C22D9×#6711yescharacteristic
738C22#8866811yescharacteristic
739C22#8866811yescharacteristic
740C4—62no—
741C4—182no—
742C4—361no—
743C4—542no—
744C3—21no—
745C3#1058890311yescharacteristic, complemented
746C3#1059172411yescharacteristic
747C2—42no—
748C2—122no—
749C2—1082no—
750C2#1172126211yescharacteristic
751C2#1172128211yescharacteristic
752C2#1172128711yescharacteristic
753C2#1172128811yescharacteristic
754C2#1172128911yescharacteristic
755C2#1172129111yescharacteristic
756C2#1172129211yescharacteristic
subgroupG/H
centerC23C2×D3×D9
commutator, cosocleC23×C3×C9C23
FrattiniC23×C3C2×D32
FittingC24×C3×C9C22
socleC23×C32C22×D3
hypercenterC24D3×D9
hypocenterC3×C9#392
LCSG ▷ C23×C3×C9 ▷ C3×C9
UCSC1 ◁ C23 ◁ C24

Complements

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

NH ≅ G/Ntype
1. C22×#6233C2semidirect
2. C22×C9×#67C2semidirect
3. C22×#6195C2semidirect
4. C2×C3×#3676C2semidirect
5. C2×(C2×D3)⋊Dic9C2semidirect
6. C2×#88445C2semidirect
7. #11720331C2semidirect
41. C2×#3676D3semidirect
50. C23×C3×C9D4semidirect
58. C22×C3⋊D9D4semidirect
65. C22×D3×C9D4semidirect
69. C2×C3⋊Dic9D4semidirect
73. C2×C9×Dic3D4semidirect
79. C2×C3×Dic9D4semidirect
164. C22×#67D9semidirect
232. C23×C9D12semidirect
266. C2×Dic9#67semidirect
415. C3×C9#392semidirect
443. C23×C3#611semidirect
474. C22×D3#611semidirect
507. C2×Dic3#611semidirect
645. C9#4960semidirect
666. C23#6195semidirect
745. C3#10588903semidirect

Maximal subgroups

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

subgroupindex
C22×#62332
C22×C9×#672
C22×#61952
C2×C3×#36762
C2×(C2×D3)⋊Dic92
C2×#884452
#117203312
#105917243
#105889033