Finite Group Databasebeta

← C2×D9×#237 #13164728

Subgroups — C2×D9×#237 #13164728

Order 1728.

2834 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88742C211yesmaximal, characteristic, complemented
2C2×C9×#237C211yesmaximal, characteristic, complemented
3C2×C3×D4×D9C211yesmaximal, characteristic, complemented
4C2×D9×#67C212yesmaximal, complemented
5C2×#88663C212yesmaximal, complemented
6C2×#88658C212yesmaximal, complemented
7C22×Dic3×D9C212yesmaximal, complemented
8D9×#237C2116yesmaximal, direct product factor
9C2×C4×D3×D9C211yesmaximal, characteristic, complemented
10C2×#88641C211yesmaximal, characteristic, complemented
11C2×#88634C211yesmaximal, characteristic, complemented
12C2×D9×Dic6C211yesmaximal, characteristic, complemented
13C2×D3×#237—31nomaximal
14C2×#41×D9—31nomaximal
15C23×C3×D9C2212yes—
16C22×D3×D9C2211yescharacteristic
17C2×C3×D4×C9C2211yescharacteristic, complemented
18C2×#6233C2212yescomplemented
19C22×C3⋊Dic9C2212yescomplemented
20#88742C2218yescomplemented
21C2×C4×C3⋊D9C2211yescharacteristic, complemented
22C2×#6226C2211yescharacteristic, complemented
23C2×C9×#67C2212yescomplemented
24C2×C3×#611C2212yescomplemented
25C22×C9×Dic3C2212yescomplemented
26C9×#237C2218yescomplemented
27C3×D4×D9C2218yescomplemented
28C2×C4×D3×C9C2211yescharacteristic, complemented
29C2×C3×D36C2211yescharacteristic, complemented
30C2×C3×C4×D9C2211yescharacteristic
31C2×C9×Dic6C2211yescharacteristic, complemented
32D9×#67C22116yescomplemented
33C2×#6194C2212yescomplemented
34#88663C22116yescomplemented
35C2×D3×Dic9C2211yescharacteristic, complemented
36C2×#6192C2212yescomplemented
37C2×(C3⋊D9)⋊C4C2211yescharacteristic, complemented
38#88658C22116yescomplemented
39C2×Dic3×D9C2211yescharacteristic
40C2×Dic3×D9C2212yes—
41C2×Dic3×D9C22116yescomplemented
42C2×Dic3×D9C2212yescomplemented
43C2×Dic3×D9C2212yescomplemented
44C2×#6189C2212yescomplemented
45C4×D3×D9C2218yescomplemented
46#88641C2218yescomplemented
47#88634C2218yescomplemented
48D9×Dic6C2218yescomplemented
49C2×#3830—31no—
50C2×C3×#237D311yescharacteristic
51C2×C3×D3×D4—31no—
52C2×D3×#67—32no—
53C2×#3805—32no—
54C2×#3804—32no—
55C22×D3×Dic3—32no—
56D3×#237—316no—
57C2×C4×D32—31no—
58C2×#3796—31no—
59C2×#3795—31no—
60C2×D3×Dic6—31no—
61C2×C9×#41—31no—
62#41×D9—316no—
63C2×#3701—31no—
64C2×Q8×D9—31no—
65C2×#3699—31no—
66C2×#3699—32no—
67C2×#3699—61no—
68C2×D4×D9—32no—
69C2×D4×D9D311yescharacteristic, complemented
70C2×#3697—32no—
71C2×#3697—31no—
72C22×C4×D9—32no—
73C22×C4×D9—31no—
74C23×C3×C9C2312yes—
75C22×C3⋊D9C2311yescharacteristic
76C22×D3×C9C2311yescharacteristic
77C22×C3×D9—28no—
78C22×C3×D9C2312yes—
79C22×C3×D9C2318yes—
80C22×C3×D9C2311yescharacteristic
81C2×D3×D9—24no—
82C2×D3×D9C2314yes—
83C3×D4×C9C2314yescomplemented
84C2×C3×C4×C9C2311yescharacteristic
85#6233C2318yescomplemented
86C2×C3⋊Dic9C2312yes—
87C2×C3⋊Dic9C2311yescharacteristic
88C2×C3⋊Dic9C2318yescomplemented
89C4×C3⋊D9C2314yescomplemented
90#6226C2314yescomplemented
91C9×#67C2318yescomplemented
92C3×#611C2318yescomplemented
93C2×C9×Dic3C2312yes—
94C2×C9×Dic3C2311yescharacteristic
95C2×C9×Dic3C2318yescomplemented
96C2×C3×Dic9C2311yescharacteristic
97C4×D3×C9C2314yescomplemented
98C3×D36C2314yescomplemented
99C3×C4×D9C2314yes—
100C9×Dic6C2314yescomplemented
101#6194C2318yescomplemented
102D3×Dic9C2314yescomplemented
103#6192C2318yescomplemented
104(C3⋊D9)⋊C4C2314yescomplemented
105Dic3×D9C2318yes—
106Dic3×D9C2314yes—
107Dic3×D9C2318yescomplemented
108Dic3×D9C2318yescomplemented
109#6189C2318yescomplemented
110C2×D3×#41—91no—
111C22×#237—91no—
112C23×C3×D3—32no—
113C22×D32—31no—
114C2×C32×D4C2×D311yescharacteristic
115C2×#638—32no—
116C22×C3⋊Dic3—32no—
117#3830—38no—
118C2×C4×C3⋊D3—31no—
119C2×#634—31no—
120C2×C3×#67—32no—
121C2×C3×#67C2×D312yes—
122C22×C3×Dic3C2×D312yes—
123C3×#237C2×D318yes—
124C3×D3×D4—38no—
125C2×C3×D12—31no—
126C2×C3×C4×D3—31no—
127C2×C3×C4×D3C2×D311yescharacteristic
128C2×C3×Dic6C2×D311yescharacteristic
129D3×#67—316no—
130C2×#627—32no—
131C2×#626—32no—
132C2×#625—32no—
133C2×#624—31no—
134#3805—316no—
135#3804—316no—
136C2×D3×Dic3—31no—
137C2×D3×Dic3—32no—
138C2×D3×Dic3—32no—
139C2×D3×Dic3—32no—
140C2×D3×Dic3—31no—
141C2×D3×Dic3—316no—
142C4×D32—38no—
143#3796—38no—
144#3795—38no—
145D3×Dic6—38no—
146C23×D9—31no—
147C23×D9C2×D312yes—
148C9×#41—38no—
149C2×Q8×C9—31no—
150C2×D4×C9—21no—
151C2×D4×C9—32no—
152C2×D4×C9C2×D311yescharacteristic, complemented
153C22×C4×C9—32no—
154C22×C4×C9—31no—
155C2×#611—32no—
156C2×#611—32no—
157C2×#611—62no—
158C2×#611C2×D312yescomplemented
159C22×Dic9—32no—
160C22×Dic9—31no—
161C22×Dic9—62no—
162#3701—38no—
163Q8×D9—38no—
164#3699—38no—
165#3699—316no—
166#3699—68no—
167D4×D9—316no—
168D4×D9C2×D318yescomplemented
169#3697—316no—
170#3697—38no—
171C2×D36—32no—
172C2×D36C2×D311yescharacteristic, complemented
173C2×C4×D9—31no—
174C2×C4×D9—32no—
175C2×C4×D9—32no—
176C2×C4×D9—32no—
177C2×C4×D9—316no—
178C2×C4×D9—31no—
179C2×C4×D9—31no—
180C2×C4×D9—38no—
181C2×C4×D9—61no—
182C2×C4×D9C2×D311yescharacteristic
183C2×Dic18—31no—
184C2×Dic18—32no—
185C2×Dic18—61no—
186C22×C3×C9—24no—
187C22×C3×C9C2414yes—
188C22×C3×C9C2411yescharacteristic
189C2×C3⋊D9—22no—
190C2×C3⋊D9C2412yes—
191C2×D3×C9—22no—
192C2×D3×C9C2412yes—
193C2×C3×D9—24no—
194C2×C3×D9—216no—
195C2×C3×D9#4114yescomplemented
196C2×C3×D9C2414yes—
197C2×C3×D9C2412yes—
198D3×D9—28no—
199C3×C4×C9C2412yes—
200C3⋊Dic9C2414yes—
201C3⋊Dic9C2412yes—
202C9×Dic3C2414yes—
203C9×Dic3C2412yes—
204C3×Dic9C2412yes—
205C2×C3×#41—31no—
206C22×C3×D4—91no—
207C22×#67—92no—
208C23×Dic3—92no—
209D3×#41—916no—
210C2×#239—91no—
211C2×D3×Q8—91no—
212C2×#237—92no—
213C2×#237—91no—
214C2×#237—91no—
215C2×#237—92no—
216C2×#237—92no—
217C2×#237—916no—
218C2×#237—91no—
219C2×#237—91no—
220C2×#237—181no—
221C2×#237D911yescharacteristic, direct product factor
222C2×D3×D4—31no—
223C2×D3×D4—92no—
224C2×#235—91no—
225C2×#235—92no—
226C22×C4×D3—91no—
227C22×C4×D3—92no—
228C22×C4×D3—91no—
229C22×Dic6—91no—
230C23×C32C22×D312yes—
231C22×C3⋊D3—31no—
232C22×C3×D3—31no—
233C22×C3×D3—32no—
234C22×C3×D3—38no—
235C22×C3×D3—68no—
236C22×C3×D3C22×D311yescharacteristic
237C2×D32—34no—
238C2×D32—64no—
239C32×D4C22×D314yes—
240C2×C32×C4C22×D311yescharacteristic
241#638—38no—
242C2×C3⋊Dic3—31no—
243C2×C3⋊Dic3—32no—
244C2×C3⋊Dic3—38no—
245C4×C3⋊D3—34no—
246#634—34no—
247C3×#67—38no—
248C3×#67C22×D318yes—
249C2×C3×Dic3—31no—
250C2×C3×Dic3C22×D311yescharacteristic
251C2×C3×Dic3C22×D312yes—
252C2×C3×Dic3C22×D318yes—
253C3×D12—34no—
254C3×C4×D3—34no—
255C3×C4×D3C22×D314yes—
256C3×Dic6C22×D314yes—
257#627—38no—
258#626—38no—
259#625—38no—
260#624—34no—
261D3×Dic3—34no—
262D3×Dic3—38no—
263D3×Dic3—34no—
264D3×Dic3—38no—
265D3×Dic3—38no—
266C23×C9—22no—
267C23×C9—31no—
268C23×C9C22×D312yes—
269C22×D9—28no—
270C22×D9—31no—
271C22×D9—34no—
272C22×D9—61no—
273C22×D9—64no—
274C22×D9C22×D312yes—
275C22×D9C22×D318yes—
276C22×D9C22×D311yescharacteristic
277Q8×C9—34no—
278D4×C9—24no—
279D4×C9—38no—
280D4×C9C22×D314yescomplemented
281C2×C4×C9—21no—
282C2×C4×C9—32no—
283C2×C4×C9—31no—
284C2×C4×C9—38no—
285C2×C4×C9—34no—
286C2×C4×C9C22×D311yescharacteristic
287#611—38no—
288#611—38no—
289#611—68no—
290#611C22×D318yescomplemented
291C2×Dic9—32no—
292C2×Dic9—31no—
293C2×Dic9—38no—
294C2×Dic9—34no—
295C2×Dic9—62no—
296C2×Dic9—61no—
297C2×Dic9—68no—
298C2×Dic9C22×D311yescharacteristic
299D36—38no—
300D36C22×D314yescomplemented
301C4×D9—34no—
302C4×D9—38no—
303C4×D9—38no—
304C4×D9—38no—
305C4×D9—34no—
306C4×D9—34no—
307C4×D9—64no—
308C4×D9C22×D314yes—
309Dic18—34no—
310Dic18—38no—
311Dic18—64no—
312C22×#41—271noSylow
313C2×C3×C9—24no—
314C2×C3×C9C2×#4112yescomplemented
315C2×C3×C9C2511yescharacteristic
316C3⋊D9—22no—
317D3×C9—22no—
318C3×D9—24no—
319C3×D9C2×#4114yescomplemented
320C24×C3—92no—
321C23×D3—32no—
322C23×D3—91no—
323C23×D3—91no—
324C3×#41—38no—
325C2×C3×Q8—31no—
326C2×C3×D4—21no—
327C2×C3×D4—32no—
328C2×C3×D4—92no—
329C2×C3×D4—98no—
330C2×C3×D4—91no—
331C2×C3×D4C2×D911yescharacteristic, complemented
332C2×C3×D4D3211yescharacteristic
333C22×C3×C4—32no—
334C22×C3×C4—31no—
335C22×C3×C4—91no—
336C2×#67—32no—
337C2×#67—92no—
338C2×#67—92no—
339C2×#67—92no—
340C2×#67—92no—
341C2×#67—916no—
342C2×#67—92no—
343C2×#67—182no—
344C2×#67C2×D912yescomplemented
345C22×Dic3—91no—
346C22×Dic3—92no—
347C22×Dic3—92no—
348C22×Dic3—92no—
349C22×Dic3—91no—
350C22×Dic3—92no—
351C22×Dic3—92no—
352C22×Dic3—916no—
353C22×Dic3—182no—
354C22×Dic3C2×D912yescomplemented
355#239—98no—
356D3×Q8—98no—
357#237—916no—
358#237—98no—
359#237—98no—
360#237—916no—
361#237—916no—
362#237—98no—
363#237—98no—
364#237—188no—
365#237C2×D918yesdirect product factor
366D3×D4—38no—
367D3×D4—916no—
368#235—98no—
369#235—916no—
370C2×D12—31no—
371C2×D12—92no—
372C2×C4×D3—31no—
373C2×C4×D3—98no—
374C2×C4×D3—91no—
375C2×C4×D3—91no—
376C2×C4×D3—92no—
377C2×C4×D3—92no—
378C2×C4×D3—92no—
379C2×C4×D3—916no—
380C2×C4×D3—91no—
381C2×C4×D3—91no—
382C2×C4×D3—91no—
383C2×C4×D3—91no—
384C2×C4×D3—98no—
385C2×C4×D3—181no—
386C2×C4×D3C2×D911yescharacteristic, complemented
387C2×Dic6—92no—
388C2×Dic6—91no—
389C2×Dic6—91no—
390C2×Dic6—92no—
391C2×Dic6—98no—
392C2×Dic6—181no—
393C2×Dic6C2×D911yescharacteristic, complemented
394C22×C32—24no—
395C22×C32C23×D314yes—
396C22×C32C23×D311yescharacteristic
397C2×C3⋊D3—32no—
398C2×C3⋊D3—62no—
399C2×C3×D3—22no—
400C2×C3×D3—34no—
401C2×C3×D3—32no—
402C2×C3×D3—34no—
403C2×C3×D3—616no—
404C2×C3×D3—64no—
405C2×C3×D3C23×D312yes—
406D32—68no—
407C32×C4C23×D312yes—
408C3⋊Dic3—32no—
409C3⋊Dic3—34no—
410C3×Dic3—32no—
411C3×Dic3C23×D312yes—
412C3×Dic3C23×D314yes—
413C22×C9—24no—
414C22×C9—21no—
415C22×C9—24no—
416C22×C9—32no—
417C22×C9—44no—
418C22×C9—62no—
419C22×C9C23×D314yes—
420C22×C9C23×D311yescharacteristic
421C2×D9—24no—
422C2×D9—216no—
423C2×D9—32no—
424C2×D9—62no—
425C2×D9—62no—
426C2×D9—68no—
427C2×D9—122no—
428C2×D9#23714yesdirect product factor
429C2×D9C23×D314yes—
430C2×D9C23×D312yes—
431C4×C9—22no—
432C4×C9—34no—
433C4×C9—32no—
434C4×C9C23×D312yes—
435Dic9—34no—
436Dic9—32no—
437Dic9—64no—
438Dic9—62no—
439Dic9C23×D312yes—
440C2×#41—31no—
441C2×#41—272no—
442C2×#41—271no—
443C2×#41—272no—
444C2×#41—271no—
445C2×#41—2716no—
446C2×#41—271no—
447C22×Q8—271no—
448C22×D4—91no—
449C22×D4—272no—
450C23×C4—271no—
451C23×C4—272no—
452C3×C9C22×#4111yescharacteristic, complemented, Sylow
453C23×C3—22no—
454C23×C3—31no—
455C23×C3—91no—
456C23×C3—98no—
457C23×C3—92no—
458C23×C3—188no—
459C23×C3C22×D912yes—
460C23×C3C2×D3212yes—
461C22×D3—31no—
462C22×D3—32no—
463C22×D3—38no—
464C22×D3—68no—
465C22×D3—94no—
466C22×D3—91no—
467C22×D3—91no—
468C22×D3—94no—
469C22×D3—181no—
470C22×D3—184no—
471C22×D3—184no—
472C22×D3C22×D911yescharacteristic
473C3×Q8—34no—
474C3×D4—24no—
475C3×D4—38no—
476C3×D4—98no—
477C3×D4—94no—
478C3×D4C22×D914yescomplemented
479C3×D4C2×D3214yes—
480C2×C3×C4—21no—
481C2×C3×C4—32no—
482C2×C3×C4—31no—
483C2×C3×C4—38no—
484C2×C3×C4—34no—
485C2×C3×C4—91no—
486C2×C3×C4—94no—
487C2×C3×C4C22×D911yescharacteristic
488C2×C3×C4C2×D3211yescharacteristic
489#67—38no—
490#67—98no—
491#67—98no—
492#67—98no—
493#67—98no—
494#67—98no—
495#67—188no—
496#67C22×D918yescomplemented
497C2×Dic3—31no—
498C2×Dic3—94no—
499C2×Dic3—92no—
500C2×Dic3—91no—
501C2×Dic3—98no—
502C2×Dic3—92no—
503C2×Dic3—91no—
504C2×Dic3—98no—
505C2×Dic3—98no—
506C2×Dic3—94no—
507C2×Dic3—98no—
508C2×Dic3—98no—
509C2×Dic3—182no—
510C2×Dic3—181no—
511C2×Dic3—188no—
512C2×Dic3C22×D912yes—
513C2×Dic3C22×D911yescharacteristic
514C2×Dic3C22×D918yescomplemented
515D12—34no—
516D12—98no—
517C4×D3—34no—
518C4×D3—94no—
519C4×D3—94no—
520C4×D3—98no—
521C4×D3—98no—
522C4×D3—98no—
523C4×D3—94no—
524C4×D3—94no—
525C4×D3—94no—
526C4×D3—94no—
527C4×D3—184no—
528C4×D3C22×D914yescomplemented
529Dic6—98no—
530Dic6—94no—
531Dic6—94no—
532Dic6—98no—
533Dic6—184no—
534Dic6C22×D914yescomplemented
535C2×C32—24no—
536C2×C32D3×#4112yes—
537C2×C32C24×D311yescharacteristic
538C3⋊D3—62no—
539C3×D3—22no—
540C3×D3—34no—
541C3×D3—64no—
542C2×C9—24no—
543C2×C9—22no—
544C2×C9—21no—
545C2×C9—44no—
546C2×C9—62no—
547C2×C9C2×#23712yescomplemented
548C2×C9C24×D311yescharacteristic
549D9—24no—
550D9—62no—
551D9—122no—
552D9C2×#23714yesdirect product factor
553C24—92no—
554C24—271no—
555#41—38no—
556#41—2716no—
557#41—278no—
558#41—2716no—
559#41—278no—
560#41—278no—
561C2×Q8—31no—
562C2×Q8—272no—
563C2×Q8—278no—
564C2×Q8—271no—
565C2×D4—32no—
566C2×D4—92no—
567C2×D4—98no—
568C2×D4—91no—
569C2×D4—272no—
570C2×D4—2716no—
571C2×D4—272no—
572C2×D4—272no—
573C2×D4D3×D911yescharacteristic, complemented
574C22×C4—32no—
575C22×C4—31no—
576C22×C4—91no—
577C22×C4—271no—
578C22×C4—278no—
579C22×C4—271no—
580C22×C4—272no—
581C22×C4—2716no—
582C22×C4—272no—
583C22×C4—272no—
584C22×C4—271no—
585C22×C4—272no—
586C22×C4—271no—
587C22×C3—24no—
588C22×C3—24no—
589C22×C3—24no—
590C22×C3—21no—
591C22×C3—32no—
592C22×C3—44no—
593C22×C3—62no—
594C22×C3—92no—
595C22×C3—94no—
596C22×C3—94no—
597C22×C3—1816no—
598C22×C3—184no—
599C22×C3C23×D914yes—
600C22×C3C23×D911yescharacteristic
601C22×C3C22×D3214yes—
602C22×C3C22×D3211yescharacteristic
603C2×D3—22no—
604C2×D3—34no—
605C2×D3—32no—
606C2×D3—34no—
607C2×D3—616no—
608C2×D3—64no—
609C2×D3—92no—
610C2×D3—92no—
611C2×D3—182no—
612C2×D3—188no—
613C2×D3—188no—
614C2×D3—182no—
615C2×D3—182no—
616C2×D3—362no—
617C2×D3C23×D912yes—
618C3×C4—22no—
619C3×C4—34no—
620C3×C4—32no—
621C3×C4—92no—
622C3×C4C23×D912yes—
623C3×C4C22×D3212yes—
624Dic3—32no—
625Dic3—94no—
626Dic3—92no—
627Dic3—94no—
628Dic3—92no—
629Dic3—184no—
630Dic3—182no—
631Dic3C23×D914yes—
632Dic3C23×D912yes—
633C32C2×D3×#4111yescharacteristic
634C9—21no—
635C9C22×#23711yescharacteristic, complemented
636C23—31no—
637C23—91no—
638C23—98no—
639C23—92no—
640C23—188no—
641C23—274no—
642C23—271no—
643C23—544no—
644C23C2×D3×D912yes—
645Q8—34no—
646Q8—278no—
647Q8—274no—
648D4—38no—
649D4—98no—
650D4—94no—
651D4—278no—
652D4—278no—
653D4—278no—
654D4C2×D3×D914yescomplemented
655C2×C4—38no—
656C2×C4—31no—
657C2×C4—32no—
658C2×C4—34no—
659C2×C4—91no—
660C2×C4—94no—
661C2×C4—274no—
662C2×C4—274no—
663C2×C4—278no—
664C2×C4—278no—
665C2×C4—278no—
666C2×C4—274no—
667C2×C4—278no—
668C2×C4—271no—
669C2×C4—272no—
670C2×C4—274no—
671C2×C4C2×D3×D911yescharacteristic
672C2×C3—24no—
673C2×C3—24no—
674C2×C3—22no—
675C2×C3—21no—
676C2×C3—44no—
677C2×C3—62no—
678C2×C3—94no—
679C2×C3—184no—
680C2×C3#41×D912yescomplemented
681C2×C3C24×D911yescharacteristic
682C2×C3D3×#23712yes—
683C2×C3C23×D3211yescharacteristic
684D3—22no—
685D3—34no—
686D3—64no—
687D3—182no—
688D3—182no—
689D3—362no—
690C22—24no—
691C22—32no—
692C22—62no—
693C22—94no—
694C22—92no—
695C22—94no—
696C22—1816no—
697C22—184no—
698C22—272no—
699C22—548no—
700C22—542no—
701C22C22×D3×D914yes—
702C22C22×D3×D911yescharacteristic
703C4—32no—
704C4—34no—
705C4—92no—
706C4—272no—
707C4—274no—
708C4C22×D3×D912yes—
709C3—21no—
710C3C2×#41×D911yescharacteristic, complemented
711C3C2×D3×#23711yescharacteristic
712C2—24no—
713C2—62no—
714C2—94no—
715C2—184no—
716C2—542no—
717C2D9×#23712yesdirect product factor
718C2C23×D3×D911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC2×C3×C9C25
FrattiniC2×C3C23×D32
FittingC2×C3×D4×C9C22
socleC22×C32C23×D3
hypercenterC2×D4D3×D9
hypocenterC3×C9C22×#41
LCSG ▷ C2×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×#88742C2semidirect
2. C2×C9×#237C2semidirect
3. C2×C3×D4×D9C2semidirect
4. C2×D9×#67C2semidirect
5. C2×#88663C2semidirect
6. C2×#88658C2semidirect
7. C22×Dic3×D9C2semidirect
8. D9×#237C2direct (N × H)
9. C2×C4×D3×D9C2semidirect
10. C2×#88641C2semidirect
11. C2×#88634C2semidirect
12. C2×D9×Dic6C2semidirect
17. C2×C3×D4×C9C22semidirect
18. C2×#6233C22semidirect
19. C22×C3⋊Dic9C22semidirect
20. #88742C22semidirect
21. C2×C4×C3⋊D9C22semidirect
22. C2×#6226C22semidirect
23. C2×C9×#67C22semidirect
24. C2×C3×#611C22semidirect
25. C22×C9×Dic3C22semidirect
26. C9×#237C22semidirect
27. C3×D4×D9C22semidirect
28. C2×C4×D3×C9C22semidirect
29. C2×C3×D36C22semidirect
31. C2×C9×Dic6C22semidirect
32. D9×#67C22semidirect
33. C2×#6194C22semidirect
34. #88663C22semidirect
35. C2×D3×Dic9C22semidirect
36. C2×#6192C22semidirect
37. C2×(C3⋊D9)⋊C4C22semidirect
38. #88658C22semidirect
41. C2×Dic3×D9C22semidirect
42. C2×Dic3×D9C22semidirect
43. C2×Dic3×D9C22semidirect
44. C2×#6189C22semidirect
45. C4×D3×D9C22semidirect
46. #88641C22semidirect
47. #88634C22semidirect
48. D9×Dic6C22semidirect
69. C2×D4×D9D3semidirect
83. C3×D4×C9C23semidirect
85. #6233C23semidirect
88. C2×C3⋊Dic9C23semidirect
89. C4×C3⋊D9C23semidirect
90. #6226C23semidirect
91. C9×#67C23semidirect
92. C3×#611C23semidirect
95. C2×C9×Dic3C23semidirect
97. C4×D3×C9C23semidirect
98. C3×D36C23semidirect
100. C9×Dic6C23semidirect
101. #6194C23semidirect
102. D3×Dic9C23semidirect
103. #6192C23semidirect
104. (C3⋊D9)⋊C4C23semidirect
107. Dic3×D9C23semidirect
108. Dic3×D9C23semidirect
109. #6189C23semidirect
152. C2×D4×C9C2×D3semidirect
158. C2×#611C2×D3semidirect
168. D4×D9C2×D3semidirect
172. C2×D36C2×D3semidirect
195. C2×C3×D9#41semidirect
221. C2×#237D9direct (N × H)
280. D4×C9C22×D3semidirect
290. #611C22×D3semidirect
300. D36C22×D3semidirect
314. C2×C3×C9C2×#41semidirect
319. C3×D9C2×#41semidirect
331. C2×C3×D4C2×D9semidirect
344. C2×#67C2×D9semidirect
354. C22×Dic3C2×D9semidirect
365. #237C2×D9direct (N × H)
386. C2×C4×D3C2×D9semidirect
393. C2×Dic6C2×D9semidirect
428. C2×D9#237direct (N × H)
452. C3×C9C22×#41semidirect
478. C3×D4C22×D9semidirect
496. #67C22×D9semidirect
514. C2×Dic3C22×D9semidirect
528. C4×D3C22×D9semidirect
534. Dic6C22×D9semidirect
547. C2×C9C2×#237semidirect
552. D9C2×#237direct (N × H)
573. C2×D4D3×D9semidirect
635. C9C22×#237semidirect
654. D4C2×D3×D9semidirect
680. C2×C3#41×D9semidirect
710. C3C2×#41×D9semidirect
717. C2D9×#237direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#887422
C2×C9×#2372
C2×C3×D4×D92
C2×D9×#672
C2×#886632
C2×#886582
C22×Dic3×D92
D9×#2372
C2×C4×D3×D92
C2×#886412
C2×#886342
C2×D9×Dic62
C2×D3×#2373
C2×#41×D93