Finite Group Databasebeta

← C2×D3×#3697 #13164704

Subgroups — C2×D3×#3697 #13164704

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×#88736C211yesmaximal, characteristic, complemented
2C22×C4×D3×C9C211yesmaximal, characteristic, complemented
3C2×C3×#3697C211yesmaximal, characteristic, complemented
4C2×D3×#611C212yesmaximal, complemented
5C2×#88658C212yesmaximal, complemented
6D3×#3697C2116yesmaximal, direct product factor
7C2×D3×D36C211yesmaximal, characteristic, complemented
8C2×C4×D3×D9C212yesmaximal, complemented
9C2×#88642C211yesmaximal, characteristic, complemented
10C2×#88641C211yesmaximal, characteristic, complemented
11C2×#88640C212yesmaximal, complemented
12C2×D3×Dic18C211yesmaximal, characteristic, complemented
13C2×D3×#235—31nomaximal
14C22×#3697—31nomaximal
15C23×D3×C9C2211yescharacteristic
16C22×D3×D9C2212yes—
17C22×C3×C4×C9C2211yescharacteristic, complemented
18C2×#6233C2212yescomplemented
19#88736C2218yescomplemented
20C2×C4⋊(C3⋊D9)C2211yescharacteristic, complemented
21C2×C4×C3⋊D9C2212yescomplemented
22C2×#6226C2211yescharacteristic, complemented
23C2×C3×#611C2212yescomplemented
24C22×C9×Dic3C2211yescharacteristic, complemented
25C2×C4×D3×C9C2211yescharacteristic
26C2×C4×D3×C9C2211yescharacteristic
27C2×C4×D3×C9C2218yescomplemented
28C2×C4×D3×C9C2211yescharacteristic, complemented
29C2×C4×D3×C9C2211yescharacteristic, complemented
30C3×#3697C2218yescomplemented
31C2×C3×D36C2211yescharacteristic, complemented
32C2×C3×C4×D9C2212yescomplemented
33C2×C3×Dic18C2211yescharacteristic, complemented
34D3×#611C22116yescomplemented
35C2×#6195C2212yescomplemented
36C2×#6194C2212yescomplemented
37C2×D3×Dic9C2212yes—
38C2×#6192C2212yescomplemented
39C2×(C3⋊D9)⋊C4C2212yescomplemented
40#88658C22116yescomplemented
41C2×Dic3×D9C2212yescomplemented
42C2×#6189C2212yescomplemented
43D3×D36C2218yescomplemented
44C4×D3×D9C22116yescomplemented
45#88642C2218yescomplemented
46#88641C2218yescomplemented
47#88640C22116yescomplemented
48D3×Dic18C2218yescomplemented
49C2×#3828—31no—
50C2×C3×#235—31no—
51C22×C3×C4×D3D311yescharacteristic
52C2×D3×#67—32no—
53C2×#3804—32no—
54D3×#235—316no—
55C2×D3×D12—31no—
56C2×C4×D32—32no—
57C2×#3799—31no—
58C2×#3798—32no—
59C2×#3795—31no—
60C2×D3×Dic6—31no—
61C23×C4×C9—31no—
62C22×#611—32no—
63C2×#3697—31no—
64C2×#3697—32no—
65C2×#3697—316no—
66C2×#3697—31no—
67C2×#3697—32no—
68C2×#3697—31no—
69C2×#3697—61no—
70C2×#3697D311yescharacteristic, direct product factor
71C22×D36—31no—
72C22×C4×D9—32no—
73C22×Dic18—31no—
74C23×C3×C9C2311yescharacteristic
75C22×C3⋊D9C2312yes—
76C22×D3×C9—24no—
77C22×D3×C9C2311yescharacteristic
78C22×D3×C9C2314yes—
79C22×D3×C9C2311yescharacteristic
80C22×C3×D9C2312yes—
81C2×D3×D9—28no—
82C2×D3×D9C2318yes—
83C2×C3×C4×C9C2311yescharacteristic
84C2×C3×C4×C9C2311yescharacteristic
85C2×C3×C4×C9C2314yescomplemented
86#6233C2318yescomplemented
87C2×C3⋊Dic9C2312yes—
88C4⋊(C3⋊D9)C2314yescomplemented
89C4×C3⋊D9C2318yescomplemented
90#6226C2314yescomplemented
91C3×#611C2318yescomplemented
92C2×C9×Dic3C2311yescharacteristic
93C2×C9×Dic3C2311yescharacteristic
94C2×C9×Dic3C2314yescomplemented
95C2×C3×Dic9C2312yes—
96C4×D3×C9C2314yes—
97C4×D3×C9C2314yes—
98C4×D3×C9C2314yescomplemented
99C4×D3×C9C2314yescomplemented
100C3×D36C2314yescomplemented
101C3×C4×D9C2318yescomplemented
102C3×Dic18C2314yescomplemented
103#6195C2318yescomplemented
104#6194C2318yescomplemented
105D3×Dic9C2318yes—
106#6192C2318yescomplemented
107(C3⋊D9)⋊C4C2318yescomplemented
108Dic3×D9C2318yescomplemented
109#6189C2318yescomplemented
110C2×D3×#41—91no—
111C22×#235—91no—
112C23×C3×D3C2×D311yescharacteristic
113C22×D32—32no—
114C22×C32×C4C2×D311yescharacteristic
115C2×#638—32no—
116#3828—38no—
117C2×C4⋊(C3⋊D3)—31no—
118C2×C4×C3⋊D3—32no—
119C2×#634—31no—
120C2×C3×#67—32no—
121C22×C3×Dic3C2×D311yescharacteristic
122C3×#235—38no—
123C2×C3×D12—31no—
124C2×C3×C4×D3—32no—
125C2×C3×C4×D3C2×D311yescharacteristic
126C2×C3×C4×D3C2×D311yescharacteristic
127C2×C3×C4×D3C2×D311yescharacteristic
128C2×C3×C4×D3C2×D311yescharacteristic
129C2×C3×C4×D3C2×D318yes—
130C2×C3×Dic6—31no—
131D3×#67—316no—
132C2×#627—32no—
133C2×#626—32no—
134C2×#626—32no—
135C2×#625—32no—
136C2×#624—32no—
137#3804—316no—
138C2×D3×Dic3—32no—
139C2×D3×Dic3—32no—
140D3×D12—38no—
141C4×D32—316no—
142#3799—38no—
143#3798—316no—
144#3795—38no—
145D3×Dic6—38no—
146C24×C9—31no—
147C23×D9—32no—
148C22×C4×C9—21no—
149C22×C4×C9—31no—
150C22×C4×C9—31no—
151C22×C4×C9—31no—
152C22×C4×C9—31no—
153C22×C4×C9—31no—
154C22×C4×C9—38no—
155C22×C4×C9C2×D311yescharacteristic, complemented
156C2×#611—32no—
157C2×#611—32no—
158C2×#611—316no—
159C2×#611—32no—
160C2×#611—62no—
161C2×#611C2×D312yescomplemented
162C22×Dic9—32no—
163#3697—38no—
164#3697—316no—
165#3697—38no—
166#3697—316no—
167#3697—38no—
168#3697—68no—
169#3697C2×D318yesdirect product factor
170C2×D36—32no—
171C2×D36—31no—
172C2×D36—38no—
173C2×D36—61no—
174C2×D36C2×D311yescharacteristic, complemented
175C2×C4×D9—32no—
176C2×C4×D9—32no—
177C2×C4×D9—32no—
178C2×C4×D9—316no—
179C2×C4×D9—62no—
180C2×C4×D9C2×D312yescomplemented
181C2×Dic18—31no—
182C2×Dic18—32no—
183C2×Dic18—38no—
184C2×Dic18—61no—
185C2×Dic18C2×D311yescharacteristic, complemented
186C22×C3×C9—22no—
187C22×C3×C9C2412yes—
188C22×C3×C9C2411yescharacteristic
189C2×C3⋊D9—24no—
190C2×C3⋊D9C2414yes—
191C2×D3×C9—22no—
192C2×D3×C9—28no—
193C2×D3×C9#4114yescomplemented
194C2×D3×C9C2412yes—
195C2×D3×C9C2412yes—
196C2×C3×D9—24no—
197C2×C3×D9C2414yes—
198D3×D9—216no—
199C3×C4×C9C2412yes—
200C3×C4×C9C2412yes—
201C3⋊Dic9C2414yes—
202C9×Dic3C2412yes—
203C9×Dic3C2412yes—
204C3×Dic9C2414yes—
205C2×C3×#41—91no—
206C23×C3×C4—31no—
207C22×#67—92no—
208D3×#41—916no—
209C2×#239—91no—
210C2×D3×Q8—91no—
211C2×#237—92no—
212C2×#237—91no—
213C2×D3×D4—92no—
214C2×D3×D4—91no—
215C2×#235—31no—
216C2×#235—91no—
217C2×#235—92no—
218C2×#235—91no—
219C2×#235—916no—
220C2×#235—92no—
221C2×#235—91no—
222C2×#235—91no—
223C2×#235—92no—
224C2×#235—181no—
225C22×D12—91no—
226C22×C4×D3—92no—
227C22×C4×D3—92no—
228C22×C4×D3D911yescharacteristic, complemented
229C22×Dic6—91no—
230C23×C32C22×D311yescharacteristic
231C22×C3⋊D3—32no—
232C22×C3×D3—24no—
233C22×C3×D3—32no—
234C22×C3×D3C22×D311yescharacteristic
235C22×C3×D3C22×D314yes—
236C22×C3×D3C22×D311yescharacteristic
237C2×D32—38no—
238C2×D32—68no—
239C2×C32×C4C22×D311yescharacteristic
240C2×C32×C4C22×D311yescharacteristic
241C2×C32×C4C22×D314yes—
242#638—38no—
243C2×C3⋊Dic3—32no—
244C4⋊(C3⋊D3)—34no—
245C4×C3⋊D3—38no—
246#634—34no—
247C3×#67—38no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3C22×D311yescharacteristic
250C2×C3×Dic3C22×D311yescharacteristic
251C2×C3×Dic3C22×D314yes—
252C3×D12—34no—
253C3×C4×D3—38no—
254C3×C4×D3C22×D314yes—
255C3×C4×D3C22×D314yes—
256C3×C4×D3C22×D314yes—
257C3×C4×D3C22×D314yes—
258C3×Dic6—34no—
259#627—38no—
260#626—38no—
261#626—38no—
262#625—38no—
263#624—38no—
264D3×Dic3—38no—
265D3×Dic3—38no—
266C23×C9—21no—
267C23×C9—31no—
268C23×C9—34no—
269C23×C9—31no—
270C23×C9—64no—
271C23×C9C22×D311yescharacteristic
272C22×D9—32no—
273C22×D9—38no—
274C22×D9—62no—
275C22×D9—68no—
276C22×D9C22×D312yes—
277C2×C4×C9—21no—
278C2×C4×C9—21no—
279C2×C4×C9—24no—
280C2×C4×C9—31no—
281C2×C4×C9—31no—
282C2×C4×C9—34no—
283C2×C4×C9—34no—
284C2×C4×C9—34no—
285C2×C4×C9—34no—
286C2×C4×C9—34no—
287C2×C4×C9C22×D311yescharacteristic
288C2×C4×C9C22×D311yescharacteristic
289C2×C4×C9C22×D314yescomplemented
290#611—38no—
291#611—38no—
292#611—38no—
293#611—68no—
294#611C22×D318yescomplemented
295C2×Dic9—32no—
296C2×Dic9—38no—
297C2×Dic9—62no—
298C2×Dic9C22×D312yes—
299D36—38no—
300D36—34no—
301D36—64no—
302D36C22×D314yescomplemented
303C4×D9—38no—
304C4×D9—38no—
305C4×D9—38no—
306C4×D9—68no—
307C4×D9C22×D318yescomplemented
308Dic18—34no—
309Dic18—38no—
310Dic18—64no—
311Dic18C22×D314yescomplemented
312C22×#41—271noSylow
313C2×C3×C9—22no—
314C2×C3×C9C2×#4112yescomplemented
315C2×C3×C9C2511yescharacteristic
316C3⋊D9—24no—
317D3×C9—22no—
318D3×C9C2×#4114yescomplemented
319C3×D9—24no—
320C24×C3—31no—
321C23×D3—92no—
322C23×D3—92no—
323C23×D3C2×D911yescharacteristic
324C3×#41—98no—
325C2×C3×Q8—91no—
326C2×C3×D4—92no—
327C2×C3×D4—91no—
328C22×C3×C4—21no—
329C22×C3×C4—31no—
330C22×C3×C4—31no—
331C22×C3×C4—31no—
332C22×C3×C4—31no—
333C22×C3×C4—31no—
334C22×C3×C4—38no—
335C22×C3×C4—92no—
336C22×C3×C4C2×D911yescharacteristic, complemented
337C22×C3×C4D3211yescharacteristic
338C2×#67—32no—
339C2×#67—92no—
340C2×#67—916no—
341C2×#67—92no—
342C2×#67—92no—
343C2×#67—92no—
344C2×#67—92no—
345C2×#67—92no—
346C2×#67—182no—
347C22×Dic3—92no—
348C22×Dic3—92no—
349C22×Dic3C2×D911yescharacteristic, complemented
350#239—98no—
351D3×Q8—98no—
352#237—916no—
353#237—98no—
354D3×D4—916no—
355D3×D4—98no—
356#235—38no—
357#235—98no—
358#235—916no—
359#235—98no—
360#235—916no—
361#235—98no—
362#235—98no—
363#235—916no—
364#235—188no—
365C2×D12—31no—
366C2×D12—98no—
367C2×D12—92no—
368C2×D12—92no—
369C2×D12—91no—
370C2×D12—91no—
371C2×D12—181no—
372C2×C4×D3—32no—
373C2×C4×D3—916no—
374C2×C4×D3—92no—
375C2×C4×D3—92no—
376C2×C4×D3—92no—
377C2×C4×D3—92no—
378C2×C4×D3—92no—
379C2×C4×D3—92no—
380C2×C4×D3—916no—
381C2×C4×D3—182no—
382C2×C4×D3C2×D911yescharacteristic
383C2×C4×D3C2×D911yescharacteristic
384C2×C4×D3C2×D918yescomplemented
385C2×C4×D3C2×D911yescharacteristic, complemented
386C2×C4×D3C2×D911yescharacteristic, complemented
387C2×Dic6—31no—
388C2×Dic6—98no—
389C2×Dic6—92no—
390C2×Dic6—91no—
391C2×Dic6—91no—
392C2×Dic6—92no—
393C2×Dic6—181no—
394C22×C32—22no—
395C22×C32C23×D312yes—
396C22×C32C23×D311yescharacteristic
397C2×C3⋊D3—34no—
398C2×C3⋊D3—64no—
399C2×C3×D3—22no—
400C2×C3×D3—28no—
401C2×C3×D3—34no—
402C2×C3×D3—64no—
403C2×C3×D3#23514yes—
404C2×C3×D3C23×D312yes—
405C2×C3×D3C23×D312yes—
406D32—616no—
407C32×C4C23×D312yes—
408C32×C4C23×D312yes—
409C3⋊Dic3—34no—
410C3×Dic3—34no—
411C3×Dic3C23×D312yes—
412C3×Dic3C23×D312yes—
413C22×C9—22no—
414C22×C9—21no—
415C22×C9—22no—
416C22×C9—34no—
417C22×C9—32no—
418C22×C9—32no—
419C22×C9—42no—
420C22×C9—68no—
421C22×C9—62no—
422C22×C9C23×D312yes—
423C22×C9C23×D311yescharacteristic
424C2×D9—24no—
425C2×D9—34no—
426C2×D9—64no—
427C2×D9—616no—
428C2×D9—64no—
429C2×D9—124no—
430C2×D9C23×D314yes—
431C4×C9—22no—
432C4×C9—22no—
433C4×C9—32no—
434C4×C9—32no—
435C4×C9C23×D312yes—
436C4×C9C23×D312yes—
437Dic9—34no—
438Dic9—64no—
439Dic9C23×D314yes—
440C2×#41—91no—
441C2×#41—272no—
442C2×#41—272no—
443C2×#41—271no—
444C2×#41—271no—
445C2×#41—2716no—
446C2×#41—271no—
447C22×Q8—271no—
448C22×D4—271no—
449C22×D4—272no—
450C23×C4—31no—
451C23×C4—272no—
452C3×C9C22×#4111yescharacteristic, complemented, Sylow
453C23×C3—21no—
454C23×C3—31no—
455C23×C3—34no—
456C23×C3—31no—
457C23×C3—64no—
458C23×C3—92no—
459C23×C3C22×D911yescharacteristic
460C23×C3C2×D3211yescharacteristic
461C22×D3—24no—
462C22×D3—32no—
463C22×D3—98no—
464C22×D3—92no—
465C22×D3—92no—
466C22×D3—98no—
467C22×D3—182no—
468C22×D3—188no—
469C22×D3—188no—
470C22×D3C22×D911yescharacteristic
471C22×D3C22×D914yes—
472C22×D3C22×D911yescharacteristic
473C3×Q8—94no—
474C3×D4—98no—
475C3×D4—94no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—24no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—34no—
482C2×C3×C4—34no—
483C2×C3×C4—34no—
484C2×C3×C4—34no—
485C2×C3×C4—34no—
486C2×C3×C4—92no—
487C2×C3×C4—98no—
488C2×C3×C4C22×D911yescharacteristic
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C22×D914yescomplemented
491C2×C3×C4C2×D3211yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493C2×C3×C4C2×D3214yes—
494#67—38no—
495#67—98no—
496#67—98no—
497#67—98no—
498#67—98no—
499#67—98no—
500#67—98no—
501#67—188no—
502C2×Dic3—32no—
503C2×Dic3—98no—
504C2×Dic3—92no—
505C2×Dic3—92no—
506C2×Dic3—98no—
507C2×Dic3—182no—
508C2×Dic3C22×D911yescharacteristic
509C2×Dic3C22×D911yescharacteristic
510C2×Dic3C22×D914yescomplemented
511D12—34no—
512D12—98no—
513D12—98no—
514D12—94no—
515D12—94no—
516D12—184no—
517C4×D3—38no—
518C4×D3—98no—
519C4×D3—98no—
520C4×D3—98no—
521C4×D3—98no—
522C4×D3—98no—
523C4×D3—98no—
524C4×D3—188no—
525C4×D3C22×D914yes—
526C4×D3C22×D914yes—
527C4×D3C22×D914yescomplemented
528C4×D3C22×D914yescomplemented
529Dic6—34no—
530Dic6—98no—
531Dic6—94no—
532Dic6—94no—
533Dic6—98no—
534Dic6—184no—
535C2×C32—22no—
536C2×C32C2×#23512yes—
537C2×C32C24×D311yescharacteristic
538C3⋊D3—64no—
539C3×D3—22no—
540C3×D3—64no—
541C3×D3C2×#23514yes—
542C2×C9—22no—
543C2×C9—22no—
544C2×C9—21no—
545C2×C9—34no—
546C2×C9—42no—
547C2×C9—62no—
548C2×C9D3×#4112yescomplemented
549C2×C9C24×D311yescharacteristic
550D9—24no—
551D9—64no—
552D9—124no—
553C24—31no—
554C24—272no—
555#41—98no—
556#41—2716no—
557#41—2716no—
558#41—278no—
559#41—278no—
560#41—278no—
561C2×Q8—91no—
562C2×Q8—272no—
563C2×Q8—278no—
564C2×Q8—271no—
565C2×D4—92no—
566C2×D4—91no—
567C2×D4—278no—
568C2×D4—272no—
569C2×D4—272no—
570C2×D4—2716no—
571C2×D4—272no—
572C2×D4—272no—
573C2×D4—271no—
574C22×C4—31no—
575C22×C4—31no—
576C22×C4—31no—
577C22×C4—31no—
578C22×C4—31no—
579C22×C4—38no—
580C22×C4—92no—
581C22×C4—272no—
582C22×C4—2716no—
583C22×C4—272no—
584C22×C4—272no—
585C22×C4—272no—
586C22×C4D3×D911yescharacteristic, complemented
587C22×C3—22no—
588C22×C3—22no—
589C22×C3—21no—
590C22×C3—22no—
591C22×C3—34no—
592C22×C3—32no—
593C22×C3—32no—
594C22×C3—42no—
595C22×C3—68no—
596C22×C3—62no—
597C22×C3—94no—
598C22×C3—184no—
599C22×C3C23×D912yes—
600C22×C3C23×D911yescharacteristic
601C22×C3C22×D3212yes—
602C22×C3C22×D3211yescharacteristic
603C2×D3—22no—
604C2×D3—28no—
605C2×D3—34no—
606C2×D3—64no—
607C2×D3—94no—
608C2×D3—94no—
609C2×D3—184no—
610C2×D3—1816no—
611C2×D3—184no—
612C2×D3—184no—
613C2×D3—1816no—
614C2×D3—364no—
615C2×D3#369714yesdirect product factor
616C2×D3C23×D912yes—
617C2×D3C23×D912yes—
618C3×C4—22no—
619C3×C4—22no—
620C3×C4—32no—
621C3×C4—32no—
622C3×C4—94no—
623C3×C4C23×D912yes—
624C3×C4C23×D912yes—
625C3×C4C22×D3212yes—
626C3×C4C22×D3212yes—
627Dic3—34no—
628Dic3—94no—
629Dic3—94no—
630Dic3—184no—
631Dic3C23×D912yes—
632Dic3C23×D912yes—
633C32C22×#23511yescharacteristic
634C9—21no—
635C9C2×D3×#4111yescharacteristic, complemented
636C23—31no—
637C23—34no—
638C23—31no—
639C23—64no—
640C23—92no—
641C23—278no—
642C23—272no—
643C23—548no—
644C23C2×D3×D911yescharacteristic
645Q8—94no—
646Q8—278no—
647Q8—274no—
648D4—98no—
649D4—94no—
650D4—278no—
651D4—278no—
652D4—278no—
653D4—278no—
654D4—274no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—34no—
658C2×C4—34no—
659C2×C4—34no—
660C2×C4—34no—
661C2×C4—34no—
662C2×C4—92no—
663C2×C4—98no—
664C2×C4—278no—
665C2×C4—278no—
666C2×C4—278no—
667C2×C4—272no—
668C2×C4—278no—
669C2×C4C2×D3×D911yescharacteristic
670C2×C4C2×D3×D911yescharacteristic
671C2×C4C2×D3×D914yescomplemented
672C2×C3—22no—
673C2×C3—22no—
674C2×C3—21no—
675C2×C3—22no—
676C2×C3—34no—
677C2×C3—42no—
678C2×C3—62no—
679C2×C3—184no—
680C2×C3C2×#369712yescomplemented
681C2×C3C24×D911yescharacteristic
682C2×C3D3×#23512yes—
683C2×C3C23×D3211yescharacteristic
684D3—22no—
685D3—64no—
686D3—184no—
687D3—184no—
688D3—364no—
689D3C2×#369714yesdirect product factor
690C22—22no—
691C22—32no—
692C22—34no—
693C22—32no—
694C22—68no—
695C22—62no—
696C22—94no—
697C22—184no—
698C22—274no—
699C22—5416no—
700C22—544no—
701C22C22×D3×D912yes—
702C22C22×D3×D911yescharacteristic
703C4—32no—
704C4—32no—
705C4—94no—
706C4—274no—
707C4C22×D3×D912yes—
708C4C22×D3×D912yes—
709C3—21no—
710C3C22×#369711yescharacteristic, complemented
711C3C2×D3×#23511yescharacteristic
712C2—22no—
713C2—34no—
714C2—62no—
715C2—184no—
716C2—544no—
717C2D3×#369712yesdirect product factor
718C2C23×D3×D911yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D9
commutator, cosocleC2×C3×C9C25
FrattiniC2×C3C23×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9C22×#41
LCSG ▷ C2×C3×C9 ▷ C3×C9
UCSC1 ◁ C2×C4 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#88736C2semidirect
2. C22×C4×D3×C9C2semidirect
3. C2×C3×#3697C2semidirect
4. C2×D3×#611C2semidirect
5. C2×#88658C2semidirect
6. D3×#3697C2direct (N × H)
7. C2×D3×D36C2semidirect
8. C2×C4×D3×D9C2semidirect
9. C2×#88642C2semidirect
10. C2×#88641C2semidirect
11. C2×#88640C2semidirect
12. C2×D3×Dic18C2semidirect
17. C22×C3×C4×C9C22semidirect
18. C2×#6233C22semidirect
19. #88736C22semidirect
20. C2×C4⋊(C3⋊D9)C22semidirect
21. C2×C4×C3⋊D9C22semidirect
22. C2×#6226C22semidirect
23. C2×C3×#611C22semidirect
24. C22×C9×Dic3C22semidirect
27. C2×C4×D3×C9C22semidirect
28. C2×C4×D3×C9C22semidirect
29. C2×C4×D3×C9C22semidirect
30. C3×#3697C22semidirect
31. C2×C3×D36C22semidirect
32. C2×C3×C4×D9C22semidirect
33. C2×C3×Dic18C22semidirect
34. D3×#611C22semidirect
35. C2×#6195C22semidirect
36. C2×#6194C22semidirect
38. C2×#6192C22semidirect
39. C2×(C3⋊D9)⋊C4C22semidirect
40. #88658C22semidirect
41. C2×Dic3×D9C22semidirect
42. C2×#6189C22semidirect
43. D3×D36C22semidirect
44. C4×D3×D9C22semidirect
45. #88642C22semidirect
46. #88641C22semidirect
47. #88640C22semidirect
48. D3×Dic18C22semidirect
70. C2×#3697D3direct (N × H)
85. C2×C3×C4×C9C23semidirect
86. #6233C23semidirect
88. C4⋊(C3⋊D9)C23semidirect
89. C4×C3⋊D9C23semidirect
90. #6226C23semidirect
91. C3×#611C23semidirect
94. C2×C9×Dic3C23semidirect
98. C4×D3×C9C23semidirect
99. C4×D3×C9C23semidirect
100. C3×D36C23semidirect
101. C3×C4×D9C23semidirect
102. C3×Dic18C23semidirect
103. #6195C23semidirect
104. #6194C23semidirect
106. #6192C23semidirect
107. (C3⋊D9)⋊C4C23semidirect
108. Dic3×D9C23semidirect
109. #6189C23semidirect
155. C22×C4×C9C2×D3semidirect
161. C2×#611C2×D3semidirect
169. #3697C2×D3direct (N × H)
174. C2×D36C2×D3semidirect
180. C2×C4×D9C2×D3semidirect
185. C2×Dic18C2×D3semidirect
193. C2×D3×C9#41semidirect
228. C22×C4×D3D9semidirect
289. C2×C4×C9C22×D3semidirect
294. #611C22×D3semidirect
302. D36C22×D3semidirect
307. C4×D9C22×D3semidirect
311. Dic18C22×D3semidirect
314. C2×C3×C9C2×#41semidirect
318. D3×C9C2×#41semidirect
336. C22×C3×C4C2×D9semidirect
349. C22×Dic3C2×D9semidirect
384. C2×C4×D3C2×D9semidirect
385. C2×C4×D3C2×D9semidirect
386. C2×C4×D3C2×D9semidirect
452. C3×C9C22×#41semidirect
490. C2×C3×C4C22×D9semidirect
510. C2×Dic3C22×D9semidirect
527. C4×D3C22×D9semidirect
528. C4×D3C22×D9semidirect
548. C2×C9D3×#41semidirect
586. C22×C4D3×D9semidirect
615. C2×D3#3697direct (N × H)
635. C9C2×D3×#41semidirect
671. C2×C4C2×D3×D9semidirect
680. C2×C3C2×#3697semidirect
689. D3C2×#3697direct (N × H)
710. C3C22×#3697semidirect
717. C2D3×#3697direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#887362
C22×C4×D3×C92
C2×C3×#36972
C2×D3×#6112
C2×#886582
D3×#36972
C2×D3×D362
C2×C4×D3×D92
C2×#886422
C2×#886412
C2×#886402
C2×D3×Dic182
C2×D3×#2353
C22×#36973