Finite Group Databasebeta

← #13141140

Subgroups — #13141140

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×C3×#611C211yesmaximal, characteristic, complemented
3C22×#6192C211yesmaximal, characteristic, complemented
4C2×C9×#217C211yesmaximal, characteristic, complemented
5C2×#88445C211yesmaximal, characteristic, complemented
6C2×(C2×D9)⋊Dic3C211yesmaximal, characteristic, complemented
7#11720331C211yesmaximal, characteristic, complemented
8#10591724—31nomaximal
9#10588640—31nomaximal
10C24×C3×C9C2211yescharacteristic
11C23×C3⋊D9C2211yescharacteristic
12C23×C3×D9C2211yescharacteristic
13C2×#6233—22no—
14C2×#6233—22no—
15C2×#6233—22no—
16C22×C3⋊Dic9C2211yescharacteristic
17C2×C3×#611—22no—
18C2×C3×#611—22no—
19C2×C3×#611—22no—
20C22×C9×Dic3C2211yescharacteristic
21C22×C9×Dic3C2211yescharacteristic
22C22×C3×Dic9C2211yescharacteristic
23C2×#6192—22no—
24C2×#6192—22no—
25C2×#6192—22no—
26C9×#217—22no—
27#88445—22no—
28(C2×D9)⋊Dic3—22no—
29C22×#638—31no—
30C22×C3×#67—31no—
31C22×#626—31no—
32C2×C3×#217D311yescharacteristic
33C2×#3722—31no—
34C2×(C2×D3)⋊Dic3—31no—
35C22×#611—31no—
36C22×#611—61no—
37C22×#611D311yescharacteristic, complemented
38C22×D36—31no—
39#63579—31no—
40C2×C9×C22⋊C4—31no—
41C2×(C2×D9)⋊C4—31no—
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×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
66#6233—28no—
67C2×C3⋊Dic9—21no—
68C2×C3⋊Dic9—21no—
69C2×C3⋊Dic9D412yescomplemented
70C3×#611—28no—
71C2×C9×Dic3—21no—
72C2×C9×Dic3—21no—
73C2×C9×Dic3—21no—
74C2×C9×Dic3—21no—
75C2×C9×Dic3—21no—
76C2×C9×Dic3D412yescomplemented
77C2×C3×Dic9—21no—
78C2×C3×Dic9—21no—
79C2×C3×Dic9D412yescomplemented
80#6192—28no—
81#5223—91no—
82#4960—91no—
83C24×C32C2×D311yescharacteristic
84C23×C3⋊D3—31no—
85C23×C3×D3—31no—
86C2×#638—62no—
87C2×#638—62no—
88C2×#638—62no—
89C22×C3⋊Dic3—31no—
90C2×C3×#67—62no—
91C2×C3×#67—62no—
92C2×C3×#67—62no—
93C22×C3×Dic3—31no—
94C22×C3×Dic3C2×D311yescharacteristic
95C22×C3×Dic3C2×D311yescharacteristic
96C2×#626—62no—
97C2×#626—62no—
98C2×#626—62no—
99C24×C9—21no—
100C24×C9C2×D311yescharacteristic
101C23×D9—31no—
102C23×D9—61no—
103C23×D9C2×D311yescharacteristic
104C3×#217—22no—
105#3722—62no—
106(C2×D3)⋊Dic3—62no—
107C22×C4×C9—31no—
108C22×C4×C9—31no—
109C2×#611—22no—
110C2×#611—22no—
111C2×#611—22no—
112C2×#611—62no—
113C2×#611—62no—
114C2×#611—64no—
115C2×#611—64no—
116C2×#611—64no—
117C2×#611—62no—
118C22×Dic9—31no—
119C22×Dic9—61no—
120C22×Dic9C2×D311yescharacteristic
121C2×D36—62no—
122C2×D36—62no—
123C2×D36—62no—
124C9×C22⋊C4—62no—
125(C2×D9)⋊C4—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×C3×D9—22no—
149C2×C3×D9—22no—
150C2×C3×D9—22no—
151C2×C3×D9—41no—
152C2×C3×D9—41no—
153C2×C3×D9—41no—
154C2×C3×D9—41no—
155C3⋊Dic9—22no—
156C9×Dic3—22no—
157C9×Dic3—41no—
158C3×Dic9—22no—
159C22×C3×D4—91no—
160C22×#67—31no—
161C22×#67—91no—
162C22×#67—91no—
163C22×#67—91no—
164C22×#67—181no—
165C22×D12—91no—
166C2×C3×C22⋊C4—31no—
167C2×#217—91no—
168C2×#217D911yescharacteristic, complemented
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×C32D1212yes—
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—32no—
190C22×C3×D3—61no—
191C22×C3×D3—61no—
192C22×C3×D3—61no—
193C22×C3×D3—61no—
194C22×C3×D3—61no—
195C22×C3×D3—61no—
196#638—68no—
197C2×C3⋊Dic3—32no—
198C2×C3⋊Dic3—61no—
199C2×C3⋊Dic3—61no—
200C3×#67—68no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—21no—
206C2×C3×Dic3—32no—
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—41no—
222C23×C9—41no—
223C23×C9—41no—
224C23×C9—41no—
225C23×C9#6712yescomplemented
226C23×C9C22×D311yescharacteristic
227C22×D9—21no—
228C22×D9—21no—
229C22×D9—21no—
230C22×D9—21no—
231C22×D9—21no—
232C22×D9—21no—
233C22×D9—32no—
234C22×D9—62no—
235C22×D9—62no—
236C22×D9—62no—
237C22×D9—61no—
238C22×D9—61no—
239C22×D9—61no—
240C22×D9—61no—
241C22×D9—61no—
242C22×D9—61no—
243C22×D9—121no—
244C22×D9—121no—
245C22×D9—121no—
246C22×D9—121no—
247C22×D9#6712yescomplemented
248C2×C4×C9—32no—
249C2×C4×C9—61no—
250C2×C4×C9—61no—
251C2×C4×C9—61no—
252C2×C4×C9—61no—
253C2×C4×C9—61no—
254#611—28no—
255#611—616no—
256#611—68no—
257C2×Dic9—21no—
258C2×Dic9—21no—
259C2×Dic9—32no—
260C2×Dic9—62no—
261C2×Dic9—62no—
262C2×Dic9—62no—
263C2×Dic9—61no—
264C2×Dic9—61no—
265C2×Dic9#6712yescomplemented
266D36—68no—
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—
277C3×D9—42no—
278C24×C3—21no—
279C24×C3—91no—
280C24×C3C2×D911yescharacteristic
281C24×C3D3211yescharacteristic
282C23×D3—31no—
283C23×D3—91no—
284C23×D3—91no—
285C23×D3—181no—
286C2×C3×D4—182no—
287C2×C3×D4—182no—
288C2×C3×D4—182no—
289C22×C3×C4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—91no—
292C2×#67—62no—
293C2×#67—62no—
294C2×#67—62no—
295C2×#67—182no—
296C2×#67—182no—
297C2×#67—182no—
298C2×#67—182no—
299C2×#67—182no—
300C2×#67—182no—
301C2×#67—184no—
302C2×#67—184no—
303C2×#67—184no—
304C2×#67—182no—
305C2×#67—182no—
306C2×#67—182no—
307C22×Dic3—31no—
308C22×Dic3—91no—
309C22×Dic3—91no—
310C22×Dic3—181no—
311C22×Dic3C2×D911yescharacteristic
312C22×Dic3C2×D911yescharacteristic
313C2×D12—182no—
314C2×D12—182no—
315C2×D12—182no—
316C3×C22⋊C4—62no—
317#217—22no—
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×C32C2×D1211yescharacteristic
330C22×C32#23511yescharacteristic
331C22×C32D3×D411yescharacteristic
332C22×C32D3×D411yescharacteristic
333C22×C32D3×D411yescharacteristic
334C22×C32D3×D411yescharacteristic
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—62no—
344C2×C3×D3—62no—
345C2×C3×D3—62no—
346C2×C3×D3—121no—
347C2×C3×D3—121no—
348C2×C3×D3—121no—
349C2×C3×D3—121no—
350C3⋊Dic3—62no—
351C3×Dic3—22no—
352C3×Dic3—41no—
353C3×Dic3—62no—
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×C9D3×D411yescharacteristic
376C22×C9D3×D411yescharacteristic
377C22×C9D3×D411yescharacteristic
378C22×C9#23711yescharacteristic
379C22×C9C2×#6711yescharacteristic
380C22×C9C2×#6711yescharacteristic
381C22×C9C2×#6711yescharacteristic
382C2×D9—22no—
383C2×D9—22no—
384C2×D9—22no—
385C2×D9—41no—
386C2×D9—41no—
387C2×D9—41no—
388C2×D9—41no—
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—
404C4×C9—121no—
405Dic9—22no—
406Dic9—64no—
407Dic9—62no—
408C22×D4—91no—
409C22×D4—271no—
410C22×D4—271no—
411C2×C22⋊C4—31no—
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—41no—
433C23×C3—41no—
434C23×C3—41no—
435C23×C3—41no—
436C23×C3—92no—
437C23×C3—181no—
438C23×C3—181no—
439C23×C3—181no—
440C23×C3—181no—
441C23×C3—181no—
442C23×C3—181no—
443C23×C3D3612yescomplemented
444C23×C3C22×D911yescharacteristic
445C23×C3#62612yes—
446C23×C3C2×D3211yescharacteristic
447C22×D3—32no—
448C22×D3—61no—
449C22×D3—61no—
450C22×D3—61no—
451C22×D3—61no—
452C22×D3—61no—
453C22×D3—61no—
454C22×D3—92no—
455C22×D3—92no—
456C22×D3—182no—
457C22×D3—182no—
458C22×D3—182no—
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—181no—
471C22×D3—361no—
472C22×D3—361no—
473C22×D3—361no—
474C22×D3—361no—
475C3×D4—188no—
476C2×C3×C4—32no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—92no—
483C2×C3×C4—181no—
484C2×C3×C4—181no—
485#67—68no—
486#67—188no—
487#67—188no—
488#67—1816no—
489#67—188no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—32no—
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#88211yescharacteristic
511C2×C32#88211yescharacteristic
512C2×C32#88411yescharacteristic
513C2×C32#88411yescharacteristic
514C2×C32#93011yescharacteristic
515C2×C32#93711yescharacteristic
516C2×C32#94011yescharacteristic
517C3⋊D3—122no—
518C3×D3—122no—
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#93711yescharacteristic
529C2×C9#93711yescharacteristic
530C2×C9#93811yescharacteristic
531C2×C9#93911yescharacteristic
532C2×C9#93911yescharacteristic
533C2×C9#94011yescharacteristic
534C2×C9#95311yescharacteristic
535D9—42no—
536D9—124no—
537D9—122no—
538C24—91no—
539C24—271no—
540C24D3×D911yescharacteristic
541C2×D4—182no—
542C2×D4—182no—
543C2×D4—182no—
544C2×D4—542no—
545C2×D4—542no—
546C2×D4—542no—
547C2×D4—542no—
548C2×D4—542no—
549C2×D4—542no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—91no—
553C22×C4—271no—
554C22⋊C4—62no—
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—182no—
586C22×C3—182no—
587C22×C3—182no—
588C22×C3—361no—
589C22×C3—361no—
590C22×C3—361no—
591C22×C3—361no—
592C22×C3C2×D3611yescharacteristic
593C22×C3#369711yescharacteristic
594C22×C3D4×D911yescharacteristic
595C22×C3D4×D911yescharacteristic
596C22×C3D4×D911yescharacteristic
597C22×C3D4×D911yescharacteristic
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—62no—
607C2×D3—62no—
608C2×D3—62no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
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—121no—
636C3×C4—182no—
637Dic3—22no—
638Dic3—41no—
639Dic3—62no—
640Dic3—184no—
641Dic3—182no—
642Dic3—182no—
643C32#496011yescharacteristic
644C9—21no—
645C9#522311yescharacteristic, complemented
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—92no—
653C23—181no—
654C23—181no—
655C23—181no—
656C23—181no—
657C23—181no—
658C23—181no—
659C23—272no—
660C23—541no—
661C23—541no—
662C23—541no—
663C23—541no—
664C23—541no—
665C23—541no—
666C23#619212yescomplemented
667C23C2×D3×D911yescharacteristic
668D4—188no—
669D4—548no—
670D4—548no—
671C2×C4—32no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—92no—
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—362no—
694C2×C3#6344411yescharacteristic
695C2×C3#6344411yescharacteristic
696C2×C3#6344611yescharacteristic
697C2×C3#6344611yescharacteristic
698C2×C3#6349211yescharacteristic
699C2×C3#6349911yescharacteristic
700C2×C3#6350211yescharacteristic
701C2×C3#6395811yescharacteristic
702C2×C3#6397111yescharacteristic
703C2×C3#6397711yescharacteristic
704C2×C3#6397811yescharacteristic
705C2×C3#6397911yescharacteristic
706C2×C3#6398111yescharacteristic
707C2×C3#6398311yescharacteristic
708D3—122no—
709D3—364no—
710D3—362no—
711D3—362no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—182no—
720C22—182no—
721C22—182no—
722C22—361no—
723C22—361no—
724C22—361no—
725C22—361no—
726C22—542no—
727C22—542no—
728C22—542no—
729C22—1081no—
730C22—1081no—
731C22—1081no—
732C22—1081no—
733C22#8865811yescharacteristic
734C22C2×#619211yescharacteristic
735C22D3×#61111yescharacteristic
736C22D9×#6711yescharacteristic
737C22D9×#6711yescharacteristic
738C22#8866811yescharacteristic
739C22#8866811yescharacteristic
740C4—62no—
741C4—121no—
742C4—182no—
743C4—542no—
744C3—21no—
745C3#1058864011yescharacteristic, complemented
746C3#1059172411yescharacteristic
747C2—42no—
748C2—362no—
749C2—1082no—
750C2#1172125611yescharacteristic
751C2#1172127111yescharacteristic
752C2#1172127611yescharacteristic
753C2#1172127711yescharacteristic
754C2#1172127811yescharacteristic
755C2#1172128911yescharacteristic
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×C3×#611C2semidirect
3. C22×#6192C2semidirect
4. C2×C9×#217C2semidirect
5. C2×#88445C2semidirect
6. C2×(C2×D9)⋊Dic3C2semidirect
7. #11720331C2semidirect
37. C22×#611D3semidirect
50. C23×C3×C9D4semidirect
58. C22×C3⋊D9D4semidirect
65. C22×C3×D9D4semidirect
69. C2×C3⋊Dic9D4semidirect
76. C2×C9×Dic3D4semidirect
79. C2×C3×Dic9D4semidirect
168. C2×#217D9semidirect
225. C23×C9#67semidirect
247. C22×D9#67semidirect
265. C2×Dic9#67semidirect
415. C3×C9#392semidirect
443. C23×C3D36semidirect
507. C2×Dic3#611semidirect
645. C9#5223semidirect
666. C23#6192semidirect
745. C3#10588640semidirect

Maximal subgroups

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

subgroupindex
C22×#62332
C22×C3×#6112
C22×#61922
C2×C9×#2172
C2×#884452
C2×(C2×D9)⋊Dic32
#117203312
#105917243
#105886403