Finite Group Databasebeta

← C2×#11722498 #13164730

Subgroups — C2×#11722498 #13164730

Order 1728.

2906 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊D9C211yesmaximal, characteristic, complemented
2C2×C9×#237C211yesmaximal, characteristic, complemented
3C2×C3×#3699C211yesmaximal, characteristic, complemented
4C2×#88668C212yesmaximal, complemented
5C2×#88662C212yesmaximal, complemented
6C22×(C3⋊D9)⋊C4C212yesmaximal, complemented
7C2×#88658C212yesmaximal, complemented
8#11722498C2116yesmaximal, direct product factor
9C2×C4×D3×D9C211yesmaximal, characteristic, complemented
10C2×#88642C211yesmaximal, characteristic, complemented
11C2×(C3⋊D9)⋊Q8C211yesmaximal, characteristic, complemented
12C2×#88635C211yesmaximal, characteristic, complemented
13C2×#64312—31nomaximal
14C2×#41×D9—31nomaximal
15C23×C3⋊D9C2212yes—
16C22×D3×D9C2211yescharacteristic
17C2×C3×D4×C9C2211yescharacteristic, complemented
18C2×#6233C2212yescomplemented
19D4×C3⋊D9C2218yescomplemented
20C2×C4⋊(C3⋊D9)C2211yescharacteristic, complemented
21C2×C4×C3⋊D9C2211yescharacteristic
22C2×C9×#67C2212yescomplemented
23C2×C3×#611C2212yescomplemented
24C22×C9×Dic3C2212yescomplemented
25C22×C3×Dic9C2212yescomplemented
26C9×#237C2218yescomplemented
27C3×#3699C2218yescomplemented
28C2×C4×D3×C9C2211yescharacteristic, complemented
29C2×C3×C4×D9C2211yescharacteristic, complemented
30C2×C9×Dic6C2211yescharacteristic, complemented
31C2×C3×Dic18C2211yescharacteristic, complemented
32#88668C22116yescomplemented
33C2×#6195C2212yescomplemented
34#88662C22116yescomplemented
35C2×D3×Dic9C2211yescharacteristic, complemented
36C2×#6192C2212yescomplemented
37C2×(C3⋊D9)⋊C4C2211yescharacteristic
38C2×(C3⋊D9)⋊C4C2212yes—
39C2×(C3⋊D9)⋊C4C22116yescomplemented
40C2×(C3⋊D9)⋊C4C2212yescomplemented
41C2×(C3⋊D9)⋊C4C2212yescomplemented
42#88658C22116yescomplemented
43C2×Dic3×D9C2211yescharacteristic, complemented
44C2×#6189C2212yescomplemented
45C4×D3×D9C2218yescomplemented
46#88642C2218yescomplemented
47(C3⋊D9)⋊Q8C2218yescomplemented
48#88635C2218yescomplemented
49C2×D4×C3⋊D3—31no—
50C2×C3×#237—31no—
51C2×C3×#237D311yescharacteristic
52C2×#3811—32no—
53C22×#624—32no—
54C2×#3804—32no—
55C2×#3804—32no—
56#64312—316no—
57C2×C4×D32—31no—
58C2×#3799—31no—
59C2×#3799—31no—
60C2×#3797—31no—
61C2×C9×#41—31no—
62#41×D9—316no—
63C2×#3701—31no—
64C2×Q8×D9—31no—
65C2×#3699—32no—
66C2×#3699D311yescharacteristic, complemented
67C2×D4×D9—31no—
68C2×D4×D9—32no—
69C2×D4×D9—61no—
70C2×#3697—32no—
71C2×#3697—31no—
72C22×C4×D9—32no—
73C22×C4×D9—31no—
74C23×C3×C9C2312yes—
75C22×C3⋊D9—28no—
76C22×C3⋊D9C2312yes—
77C22×C3⋊D9C2318yes—
78C22×C3⋊D9C2311yescharacteristic
79C22×D3×C9C2311yescharacteristic
80C22×C3×D9C2311yescharacteristic
81C2×D3×D9—24no—
82C2×D3×D9C2314yes—
83C3×D4×C9C2314yescomplemented
84C2×C3×C4×C9C2311yescharacteristic
85#6233C2318yescomplemented
86C2×C3⋊Dic9C2311yescharacteristic
87C4⋊(C3⋊D9)C2314yescomplemented
88C4×C3⋊D9C2314yes—
89C9×#67C2318yescomplemented
90C3×#611C2318yescomplemented
91C2×C9×Dic3C2312yes—
92C2×C9×Dic3C2311yescharacteristic
93C2×C9×Dic3C2318yescomplemented
94C2×C3×Dic9C2312yes—
95C2×C3×Dic9C2311yescharacteristic
96C2×C3×Dic9C2318yescomplemented
97C4×D3×C9C2314yescomplemented
98C3×C4×D9C2314yescomplemented
99C9×Dic6C2314yescomplemented
100C3×Dic18C2314yescomplemented
101#6195C2318yescomplemented
102D3×Dic9C2314yescomplemented
103#6192C2318yescomplemented
104(C3⋊D9)⋊C4C2318yes—
105(C3⋊D9)⋊C4C2314yes—
106(C3⋊D9)⋊C4C2318yescomplemented
107(C3⋊D9)⋊C4C2318yescomplemented
108Dic3×D9C2314yescomplemented
109#6189C2318yescomplemented
110C2×D3×#41—91no—
111C2×D3×#41—91no—
112C23×C3⋊D3—32no—
113C22×D32—31no—
114C2×C32×D4C2×D311yescharacteristic
115C2×#638—32no—
116D4×C3⋊D3—38no—
117C2×C4⋊(C3⋊D3)—31no—
118C2×C4×C3⋊D3—31no—
119C2×C3×#67—32no—
120C2×C3×#67C2×D312yes—
121C22×C3×Dic3—32no—
122C22×C3×Dic3C2×D312yes—
123C3×#237—38no—
124C3×#237C2×D318yes—
125C2×C3×C4×D3—31no—
126C2×C3×C4×D3C2×D311yescharacteristic
127C2×C3×Dic6—31no—
128C2×C3×Dic6C2×D311yescharacteristic
129#3811—316no—
130C2×#627—32no—
131C2×#626—32no—
132C2×#626—32no—
133C2×#624—32no—
134C2×#624—32no—
135C2×#624—32no—
136C2×#624—31no—
137C2×#624—316no—
138#3804—316no—
139#3804—316no—
140C2×D3×Dic3—31no—
141C2×D3×Dic3—31no—
142C4×D32—38no—
143#3799—38no—
144#3799—38no—
145#3797—38no—
146C23×D9—32no—
147C23×D9—31no—
148C23×D9—62no—
149C9×#41—38no—
150C2×Q8×C9—31no—
151C2×D4×C9—21no—
152C2×D4×C9—32no—
153C2×D4×C9C2×D311yescharacteristic, complemented
154C22×C4×C9—32no—
155C22×C4×C9—31no—
156C2×#611—32no—
157C2×#611—32no—
158C2×#611—62no—
159C2×#611C2×D312yescomplemented
160C22×Dic9—31no—
161C22×Dic9C2×D312yescomplemented
162#3701—38no—
163Q8×D9—38no—
164#3699—316no—
165#3699C2×D318yescomplemented
166D4×D9—38no—
167D4×D9—316no—
168D4×D9—68no—
169#3697—316no—
170#3697—38no—
171C2×D36—32no—
172C2×D36—31no—
173C2×D36—61no—
174C2×C4×D9—31no—
175C2×C4×D9—31no—
176C2×C4×D9—31no—
177C2×C4×D9—32no—
178C2×C4×D9—32no—
179C2×C4×D9—32no—
180C2×C4×D9—316no—
181C2×C4×D9—38no—
182C2×C4×D9—61no—
183C2×C4×D9C2×D311yescharacteristic, complemented
184C2×Dic18—32no—
185C2×Dic18C2×D311yescharacteristic, complemented
186C22×C3×C9—24no—
187C22×C3×C9C2414yes—
188C22×C3×C9C2411yescharacteristic
189C2×C3⋊D9—24no—
190C2×C3⋊D9—216no—
191C2×C3⋊D9#4114yescomplemented
192C2×C3⋊D9C2414yes—
193C2×C3⋊D9C2412yes—
194C2×D3×C9—22no—
195C2×D3×C9C2412yes—
196C2×C3×D9—22no—
197C2×C3×D9C2412yes—
198D3×D9—28no—
199C3×C4×C9C2412yes—
200C3⋊Dic9C2412yes—
201C9×Dic3C2414yes—
202C9×Dic3C2412yes—
203C3×Dic9C2414yes—
204C3×Dic9C2412yes—
205C2×C3×#41—31no—
206C2×C3×#41—91no—
207D3×#41—916no—
208D3×#41—916no—
209C2×#239—91no—
210C2×#239—91no—
211C2×D3×Q8—91no—
212C2×D3×Q8—91no—
213C2×#237—31no—
214C2×#237—92no—
215C2×#237—92no—
216C2×#237D911yescharacteristic, complemented
217C2×D3×D4—92no—
218C2×D3×D4—91no—
219C2×D3×D4—91no—
220C2×D3×D4—92no—
221C2×D3×D4—181no—
222C2×#235—91no—
223C2×#235—92no—
224C2×#235—92no—
225C2×#235—91no—
226C22×C4×D3—91no—
227C22×C4×D3—92no—
228C22×C4×D3—92no—
229C22×C4×D3—91no—
230C23×C32C22×D312yes—
231C22×C3⋊D3—31no—
232C22×C3⋊D3—32no—
233C22×C3⋊D3—38no—
234C22×C3⋊D3—68no—
235C22×C3×D3—31no—
236C22×C3×D3C22×D311yescharacteristic
237C2×D32—34no—
238C2×D32—64no—
239C32×D4C22×D314yes—
240C2×C32×C4C22×D311yescharacteristic
241#638—38no—
242C2×C3⋊Dic3—31no—
243C4⋊(C3⋊D3)—34no—
244C4×C3⋊D3—34no—
245C3×#67—38no—
246C3×#67C22×D318yes—
247C2×C3×Dic3—31no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—38no—
250C2×C3×Dic3C22×D311yescharacteristic
251C2×C3×Dic3C22×D312yes—
252C2×C3×Dic3C22×D318yes—
253C3×C4×D3—34no—
254C3×C4×D3C22×D314yes—
255C3×Dic6—34no—
256C3×Dic6C22×D314yes—
257#627—38no—
258#626—38no—
259#626—38no—
260#624—38no—
261#624—34no—
262#624—38no—
263#624—38no—
264D3×Dic3—34no—
265D3×Dic3—34no—
266C23×C9—22no—
267C23×C9—31no—
268C23×C9C22×D312yes—
269C22×D9—31no—
270C22×D9—32no—
271C22×D9—38no—
272C22×D9—34no—
273C22×D9—61no—
274C22×D9—62no—
275C22×D9—68no—
276C22×D9—64no—
277C22×D9—68no—
278C22×D9—128no—
279C22×D9C22×D311yescharacteristic
280Q8×C9—34no—
281D4×C9—24no—
282D4×C9—38no—
283D4×C9C22×D314yescomplemented
284C2×C4×C9—21no—
285C2×C4×C9—32no—
286C2×C4×C9—31no—
287C2×C4×C9—38no—
288C2×C4×C9—34no—
289C2×C4×C9C22×D311yescharacteristic
290#611—38no—
291#611—38no—
292#611—68no—
293#611C22×D318yescomplemented
294C2×Dic9—31no—
295C2×Dic9—34no—
296C2×Dic9—61no—
297C2×Dic9C22×D312yes—
298C2×Dic9C22×D311yescharacteristic
299C2×Dic9C22×D318yescomplemented
300D36—38no—
301D36—34no—
302D36—64no—
303C4×D9—34no—
304C4×D9—34no—
305C4×D9—34no—
306C4×D9—38no—
307C4×D9—38no—
308C4×D9—38no—
309C4×D9—64no—
310C4×D9C22×D314yescomplemented
311Dic18—38no—
312Dic18C22×D314yescomplemented
313C22×#41—271noSylow
314C2×C3×C9—24no—
315C2×C3×C9C2×#4112yescomplemented
316C2×C3×C9C2511yescharacteristic
317C3⋊D9—24no—
318C3⋊D9C2×#4114yescomplemented
319D3×C9—22no—
320C3×D9—22no—
321C23×D3—91no—
322C23×D3—92no—
323C23×D3—92no—
324C23×D3—91no—
325C23×D3—182no—
326C3×#41—38no—
327C3×#41—98no—
328C2×C3×Q8—31no—
329C2×C3×Q8—91no—
330C2×C3×D4—21no—
331C2×C3×D4—32no—
332C2×C3×D4—92no—
333C2×C3×D4C2×D911yescharacteristic, complemented
334C2×C3×D4D3211yescharacteristic
335C22×C3×C4—32no—
336C22×C3×C4—31no—
337C22×C3×C4—92no—
338C22×C3×C4—91no—
339C2×#67—32no—
340C2×#67—92no—
341C2×#67—92no—
342C2×#67—92no—
343C2×#67—92no—
344C2×#67—182no—
345C2×#67C2×D912yescomplemented
346C22×Dic3—32no—
347C22×Dic3—91no—
348C22×Dic3—91no—
349C22×Dic3C2×D912yescomplemented
350#239—98no—
351#239—98no—
352D3×Q8—98no—
353D3×Q8—98no—
354#237—38no—
355#237—916no—
356#237—916no—
357#237C2×D918yescomplemented
358D3×D4—916no—
359D3×D4—98no—
360D3×D4—98no—
361D3×D4—916no—
362D3×D4—188no—
363#235—98no—
364#235—916no—
365#235—916no—
366#235—98no—
367C2×D12—92no—
368C2×D12—92no—
369C2×D12—91no—
370C2×D12—91no—
371C2×D12—181no—
372C2×C4×D3—31no—
373C2×C4×D3—98no—
374C2×C4×D3—91no—
375C2×C4×D3—92no—
376C2×C4×D3—92no—
377C2×C4×D3—92no—
378C2×C4×D3—916no—
379C2×C4×D3—91no—
380C2×C4×D3—91no—
381C2×C4×D3—91no—
382C2×C4×D3—91no—
383C2×C4×D3—91no—
384C2×C4×D3—92no—
385C2×C4×D3—92no—
386C2×C4×D3—92no—
387C2×C4×D3—916no—
388C2×C4×D3—98no—
389C2×C4×D3—181no—
390C2×C4×D3C2×D911yescharacteristic, complemented
391C2×Dic6—31no—
392C2×Dic6—92no—
393C2×Dic6—92no—
394C2×Dic6C2×D911yescharacteristic, complemented
395C22×C32—24no—
396C22×C32C23×D314yes—
397C22×C32C23×D311yescharacteristic
398C2×C3⋊D3—34no—
399C2×C3⋊D3—32no—
400C2×C3⋊D3—34no—
401C2×C3⋊D3—616no—
402C2×C3⋊D3—64no—
403C2×C3×D3—22no—
404C2×C3×D3—32no—
405C2×C3×D3—62no—
406C2×C3×D3C23×D312yes—
407D32—68no—
408C32×C4C23×D312yes—
409C3⋊Dic3—32no—
410C3×Dic3—32no—
411C3×Dic3—34no—
412C3×Dic3C23×D312yes—
413C3×Dic3C23×D314yes—
414C22×C9—24no—
415C22×C9—21no—
416C22×C9—24no—
417C22×C9—32no—
418C22×C9—44no—
419C22×C9—62no—
420C22×C9C23×D314yes—
421C22×C9C23×D311yescharacteristic
422C2×D9—22no—
423C2×D9—34no—
424C2×D9—32no—
425C2×D9—34no—
426C2×D9—64no—
427C2×D9—62no—
428C2×D9—64no—
429C2×D9—68no—
430C2×D9—616no—
431C2×D9—64no—
432C2×D9—1216no—
433C2×D9—124no—
434C2×D9C23×D312yes—
435C4×C9—22no—
436C4×C9—34no—
437C4×C9—32no—
438C4×C9C23×D312yes—
439Dic9—32no—
440Dic9—62no—
441Dic9C23×D314yes—
442Dic9C23×D312yes—
443C2×#41—31no—
444C2×#41—91no—
445C2×#41—272no—
446C2×#41—271no—
447C2×#41—272no—
448C2×#41—271no—
449C2×#41—2716no—
450C22×Q8—271no—
451C22×D4—272no—
452C22×D4—271no—
453C23×C4—272no—
454C23×C4—271no—
455C3×C9C22×#4111yescharacteristic, complemented, Sylow
456C23×C3—22no—
457C23×C3—31no—
458C23×C3—91no—
459C23×C3C22×D912yes—
460C23×C3C2×D3212yes—
461C22×D3—31no—
462C22×D3—94no—
463C22×D3—91no—
464C22×D3—91no—
465C22×D3—92no—
466C22×D3—98no—
467C22×D3—92no—
468C22×D3—98no—
469C22×D3—94no—
470C22×D3—181no—
471C22×D3—182no—
472C22×D3—188no—
473C22×D3—184no—
474C22×D3—184no—
475C22×D3—188no—
476C22×D3—188no—
477C22×D3—368no—
478C22×D3C22×D911yescharacteristic
479C3×Q8—34no—
480C3×Q8—94no—
481C3×D4—24no—
482C3×D4—38no—
483C3×D4—98no—
484C3×D4C22×D914yescomplemented
485C3×D4C2×D3214yes—
486C2×C3×C4—21no—
487C2×C3×C4—32no—
488C2×C3×C4—31no—
489C2×C3×C4—38no—
490C2×C3×C4—34no—
491C2×C3×C4—92no—
492C2×C3×C4—91no—
493C2×C3×C4—98no—
494C2×C3×C4—94no—
495C2×C3×C4C22×D911yescharacteristic
496C2×C3×C4C2×D3211yescharacteristic
497#67—38no—
498#67—98no—
499#67—98no—
500#67—98no—
501#67—98no—
502#67—188no—
503#67C22×D918yescomplemented
504C2×Dic3—32no—
505C2×Dic3—31no—
506C2×Dic3—38no—
507C2×Dic3—94no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—94no—
511C2×Dic3—181no—
512C2×Dic3C22×D912yes—
513C2×Dic3C22×D911yescharacteristic
514C2×Dic3C22×D918yescomplemented
515D12—98no—
516D12—98no—
517D12—94no—
518D12—94no—
519D12—184no—
520C4×D3—34no—
521C4×D3—94no—
522C4×D3—98no—
523C4×D3—98no—
524C4×D3—98no—
525C4×D3—94no—
526C4×D3—94no—
527C4×D3—94no—
528C4×D3—94no—
529C4×D3—94no—
530C4×D3—98no—
531C4×D3—98no—
532C4×D3—98no—
533C4×D3—184no—
534C4×D3C22×D914yescomplemented
535Dic6—34no—
536Dic6—98no—
537Dic6—98no—
538Dic6C22×D914yescomplemented
539C2×C32—24no—
540C2×C32D3×#4112yes—
541C2×C32C24×D311yescharacteristic
542C3⋊D3—34no—
543C3⋊D3—64no—
544C3×D3—22no—
545C3×D3—62no—
546C2×C9—24no—
547C2×C9—22no—
548C2×C9—21no—
549C2×C9—44no—
550C2×C9—62no—
551C2×C9D3×#4112yescomplemented
552C2×C9C24×D311yescharacteristic
553D9—22no—
554D9—34no—
555D9—64no—
556D9—64no—
557D9—124no—
558C24—271no—
559C24—272no—
560#41—38no—
561#41—98no—
562#41—2716no—
563#41—278no—
564#41—2716no—
565#41—278no—
566C2×Q8—31no—
567C2×Q8—91no—
568C2×Q8—272no—
569C2×Q8—278no—
570C2×D4—32no—
571C2×D4—92no—
572C2×D4—272no—
573C2×D4—272no—
574C2×D4—2716no—
575C2×D4—272no—
576C2×D4—278no—
577C2×D4—271no—
578C2×D4D3×D911yescharacteristic, complemented
579C22×C4—32no—
580C22×C4—31no—
581C22×C4—92no—
582C22×C4—91no—
583C22×C4—271no—
584C22×C4—272no—
585C22×C4—2716no—
586C22×C4—272no—
587C22×C4—272no—
588C22×C4—278no—
589C22×C4—271no—
590C22×C4—271no—
591C22×C4—271no—
592C22×C3—24no—
593C22×C3—24no—
594C22×C3—24no—
595C22×C3—21no—
596C22×C3—32no—
597C22×C3—44no—
598C22×C3—62no—
599C22×C3—92no—
600C22×C3—182no—
601C22×C3C23×D914yes—
602C22×C3C23×D911yescharacteristic
603C22×C3C22×D3214yes—
604C22×C3C22×D3211yescharacteristic
605C2×D3—22no—
606C2×D3—32no—
607C2×D3—62no—
608C2×D3—94no—
609C2×D3—92no—
610C2×D3—92no—
611C2×D3—94no—
612C2×D3—94no—
613C2×D3—94no—
614C2×D3—182no—
615C2×D3—184no—
616C2×D3—184no—
617C2×D3—188no—
618C2×D3—188no—
619C2×D3—1816no—
620C2×D3—1816no—
621C2×D3—184no—
622C2×D3—184no—
623C2×D3—3616no—
624C2×D3—364no—
625C2×D3C23×D912yes—
626C3×C4—22no—
627C3×C4—34no—
628C3×C4—32no—
629C3×C4—94no—
630C3×C4—92no—
631C3×C4C23×D912yes—
632C3×C4C22×D3212yes—
633Dic3—34no—
634Dic3—32no—
635Dic3—92no—
636Dic3—92no—
637Dic3—182no—
638Dic3C23×D914yes—
639Dic3C23×D912yes—
640C32C2×D3×#4111yescharacteristic
641C9—21no—
642C9C2×D3×#4111yescharacteristic, complemented
643C23—31no—
644C23—91no—
645C23—274no—
646C23—271no—
647C23—278no—
648C23—272no—
649C23—548no—
650C23—544no—
651C23C2×D3×D912yes—
652Q8—34no—
653Q8—94no—
654Q8—278no—
655D4—38no—
656D4—98no—
657D4—278no—
658D4—278no—
659D4—278no—
660D4—274no—
661D4C2×D3×D914yescomplemented
662C2×C4—38no—
663C2×C4—31no—
664C2×C4—32no—
665C2×C4—34no—
666C2×C4—98no—
667C2×C4—91no—
668C2×C4—92no—
669C2×C4—94no—
670C2×C4—274no—
671C2×C4—278no—
672C2×C4—278no—
673C2×C4—278no—
674C2×C4—274no—
675C2×C4—274no—
676C2×C4—271no—
677C2×C4—274no—
678C2×C4C2×D3×D911yescharacteristic
679C2×C3—24no—
680C2×C3—24no—
681C2×C3—22no—
682C2×C3—21no—
683C2×C3—44no—
684C2×C3—62no—
685C2×C3—182no—
686C2×C3#41×D912yescomplemented
687C2×C3C24×D911yescharacteristic
688C2×C3#6431212yes—
689C2×C3C23×D3211yescharacteristic
690D3—22no—
691D3—62no—
692D3—94no—
693D3—94no—
694D3—184no—
695D3—184no—
696D3—184no—
697D3—364no—
698C22—24no—
699C22—32no—
700C22—62no—
701C22—92no—
702C22—182no—
703C22—274no—
704C22—272no—
705C22—274no—
706C22—5416no—
707C22—548no—
708C22—544no—
709C22C22×D3×D914yes—
710C22C22×D3×D911yescharacteristic
711C4—32no—
712C4—34no—
713C4—92no—
714C4—94no—
715C4—272no—
716C4C22×D3×D912yes—
717C3—21no—
718C3C2×#41×D911yescharacteristic, complemented
719C3C2×#6431211yescharacteristic
720C2—24no—
721C2—62no—
722C2—182no—
723C2—274no—
724C2—544no—
725C2#1172249812yesdirect product factor
726C2C23×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×D4×C3⋊D9C2semidirect
2. C2×C9×#237C2semidirect
3. C2×C3×#3699C2semidirect
4. C2×#88668C2semidirect
5. C2×#88662C2semidirect
6. C22×(C3⋊D9)⋊C4C2semidirect
7. C2×#88658C2semidirect
8. #11722498C2direct (N × H)
9. C2×C4×D3×D9C2semidirect
10. C2×#88642C2semidirect
11. C2×(C3⋊D9)⋊Q8C2semidirect
12. C2×#88635C2semidirect
17. C2×C3×D4×C9C22semidirect
18. C2×#6233C22semidirect
19. D4×C3⋊D9C22semidirect
20. C2×C4⋊(C3⋊D9)C22semidirect
22. C2×C9×#67C22semidirect
23. C2×C3×#611C22semidirect
24. C22×C9×Dic3C22semidirect
25. C22×C3×Dic9C22semidirect
26. C9×#237C22semidirect
27. C3×#3699C22semidirect
28. C2×C4×D3×C9C22semidirect
29. C2×C3×C4×D9C22semidirect
30. C2×C9×Dic6C22semidirect
31. C2×C3×Dic18C22semidirect
32. #88668C22semidirect
33. C2×#6195C22semidirect
34. #88662C22semidirect
35. C2×D3×Dic9C22semidirect
36. C2×#6192C22semidirect
39. C2×(C3⋊D9)⋊C4C22semidirect
40. C2×(C3⋊D9)⋊C4C22semidirect
41. C2×(C3⋊D9)⋊C4C22semidirect
42. #88658C22semidirect
43. C2×Dic3×D9C22semidirect
44. C2×#6189C22semidirect
45. C4×D3×D9C22semidirect
46. #88642C22semidirect
47. (C3⋊D9)⋊Q8C22semidirect
48. #88635C22semidirect
66. C2×#3699D3semidirect
83. C3×D4×C9C23semidirect
85. #6233C23semidirect
87. C4⋊(C3⋊D9)C23semidirect
89. C9×#67C23semidirect
90. C3×#611C23semidirect
93. C2×C9×Dic3C23semidirect
96. C2×C3×Dic9C23semidirect
97. C4×D3×C9C23semidirect
98. C3×C4×D9C23semidirect
99. C9×Dic6C23semidirect
100. C3×Dic18C23semidirect
101. #6195C23semidirect
102. D3×Dic9C23semidirect
103. #6192C23semidirect
106. (C3⋊D9)⋊C4C23semidirect
107. (C3⋊D9)⋊C4C23semidirect
108. Dic3×D9C23semidirect
109. #6189C23semidirect
153. C2×D4×C9C2×D3semidirect
159. C2×#611C2×D3semidirect
161. C22×Dic9C2×D3semidirect
165. #3699C2×D3semidirect
183. C2×C4×D9C2×D3semidirect
185. C2×Dic18C2×D3semidirect
191. C2×C3⋊D9#41semidirect
216. C2×#237D9semidirect
283. D4×C9C22×D3semidirect
293. #611C22×D3semidirect
299. C2×Dic9C22×D3semidirect
310. C4×D9C22×D3semidirect
312. Dic18C22×D3semidirect
315. C2×C3×C9C2×#41semidirect
318. C3⋊D9C2×#41semidirect
333. C2×C3×D4C2×D9semidirect
345. C2×#67C2×D9semidirect
349. C22×Dic3C2×D9semidirect
357. #237C2×D9semidirect
390. C2×C4×D3C2×D9semidirect
394. C2×Dic6C2×D9semidirect
455. C3×C9C22×#41semidirect
484. C3×D4C22×D9semidirect
503. #67C22×D9semidirect
514. C2×Dic3C22×D9semidirect
534. C4×D3C22×D9semidirect
538. Dic6C22×D9semidirect
551. C2×C9D3×#41semidirect
578. C2×D4D3×D9semidirect
642. C9C2×D3×#41semidirect
661. D4C2×D3×D9semidirect
686. C2×C3#41×D9semidirect
718. C3C2×#41×D9semidirect
725. C2#11722498direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊D92
C2×C9×#2372
C2×C3×#36992
C2×#886682
C2×#886622
C22×(C3⋊D9)⋊C42
C2×#886582
#117224982
C2×C4×D3×D92
C2×#886422
C2×(C3⋊D9)⋊Q82
C2×#886352
C2×#643123
C2×#41×D93