Finite Group Databasebeta

← #11810295

Subgroups — #11810295

Order 1152.

1200 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C9×C22⋊C4C211yesmaximal, characteristic, complemented
2C2×#63515C211yesmaximal, characteristic
3C2×C4×#611C211yesmaximal, characteristic, complemented
4C2×#63445C211yesmaximal, characteristic, complemented
5#10588927C211yesmaximal, characteristic, complemented
6#10588893C211yesmaximal, characteristic, complemented
7#10588892C211yesmaximal, characteristic, complemented
8#10588890C211yesmaximal, characteristic, complemented
9#10588641C211yesmaximal, characteristic, complemented
10#10588639C211yesmaximal, characteristic, complemented
11#10588636C211yesmaximal, characteristic, complemented
12#10588632C211yesmaximal, characteristic, complemented
13#10588631C211yesmaximal, characteristic, complemented
14#10588629C211yesmaximal, characteristic, complemented
15#10588625C211yesmaximal, characteristic, complemented
16#82128—31nomaximal
17C25×C9C2211yescharacteristic
18C23×C4×C9C2211yescharacteristic
19C23×C4×C9C2211yescharacteristic
20C22×#611C2211yescharacteristic
21C22×#611C2211yescharacteristic
22C22×#611C2211yescharacteristic
23C22×C4×D9C2211yescharacteristic, complemented
24C2×C9×C22⋊C4—24no—
25C2×C9×C22⋊C4C2211yescharacteristic
26C2×C9×C22⋊C4C2211yescharacteristic
27C2×C9×C22⋊C4C2211yescharacteristic
28C2×C9×C22⋊C4C2211yescharacteristic
29#63515—24no—
30C2×#3676C2211yescharacteristic
31C2×#3676C2211yescharacteristic
32C2×#3676C2211yescharacteristic
33C2×#3676C2211yescharacteristic
34C2×#3676C2211yescharacteristic
35C2×#3676C2211yescharacteristic
36C2×#3676C2211yescharacteristic
37C2×#3676C2211yescharacteristic
38C2×#3676C2211yescharacteristic
39C4×#611—24no—
40C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
41C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
42C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
43C2×C4⋊Dic9C2211yescharacteristic, complemented
44C2×C4⋊Dic9C2211yescharacteristic, complemented
45C2×Dic9⋊C4C2211yescharacteristic, complemented
46C2×Dic9⋊C4C2211yescharacteristic, complemented
47C2×Dic9⋊C4C2211yescharacteristic, complemented
48C2×C4×Dic9C2211yescharacteristic, complemented
49#63445—24no—
50C9⋊#95C2211yescharacteristic, complemented
51C9⋊#95C2211yescharacteristic, complemented
52C9⋊#95C2211yescharacteristic, complemented
53C9⋊#95C2211yescharacteristic, complemented
54C9⋊#95C2211yescharacteristic, complemented
55C9⋊#95C2211yescharacteristic, complemented
56C22×C3×C22⋊C4D311yescharacteristic
57C2×#953—31no—
58C2×C4×#67—31no—
59C2×#883—31no—
60#5247—31no—
61#5213—31no—
62#5212—31no—
63#5210—31no—
64#4961—31no—
65#4959—31no—
66#4956—31no—
67#4952—31no—
68#4951—31no—
69#4949—31no—
70#4945—31no—
71C24×C9—22no—
72C24×C9—22no—
73C24×C9—22no—
74C24×C9—22no—
75C24×C9—22no—
76C24×C9—41no—
77C24×C9—41no—
78C24×C9C2311yescharacteristic
79C24×C9C2311yescharacteristic
80C24×C9C2311yescharacteristic
81C23×D9C2311yescharacteristic
82C22×C4×C9—22no—
83C22×C4×C9—22no—
84C22×C4×C9—22no—
85C22×C4×C9—22no—
86C22×C4×C9—41no—
87C22×C4×C9—41no—
88C22×C4×C9C2311yescharacteristic
89C22×C4×C9C2311yescharacteristic
90C22×C4×C9C2311yescharacteristic
91C22×C4×C9C2311yescharacteristic
92C2×#611—22no—
93C2×#611—22no—
94C2×#611—22no—
95C2×#611—22no—
96C2×#611—22no—
97C2×#611—22no—
98C2×#611—41no—
99C2×#611—41no—
100C2×#611D414yes—
101C22×Dic9C2311yescharacteristic
102C22×Dic9C2311yescharacteristic
103C22×Dic9C2311yescharacteristic
104C22×Dic9C2311yescharacteristic
105C22×Dic9C2311yescharacteristic
106C22×Dic9C2311yescharacteristic
107C22×Dic9C2311yescharacteristic
108C2×C4×D9—22no—
109C2×C4×D9—22no—
110C2×C4×D9—41no—
111C9×C22⋊C4—22no—
112C9×C22⋊C4—22no—
113C9×C22⋊C4—22no—
114C9×C22⋊C4D414yescomplemented
115#3676—22no—
116#3676—22no—
117#3676—22no—
118#3676—22no—
119#3676—22no—
120#3676—22no—
121#3676—22no—
122#3676—41no—
123#3676—41no—
124(C2×D9)⋊C4—22no—
125(C2×D9)⋊C4—22no—
126(C2×D9)⋊C4—41no—
127C4⋊Dic9—22no—
128C4⋊Dic9—41no—
129Dic9⋊C4—22no—
130Dic9⋊C4—22no—
131Dic9⋊C4—41no—
132C4×Dic9—22no—
133#2418—91noSylow
134C25×C3C2×D311yescharacteristic
135C23×C3×C4C2×D311yescharacteristic
136C23×C3×C4C2×D311yescharacteristic
137C22×#67—31no—
138C22×#67—31no—
139C22×#67—31no—
140C22×C4×D3—31no—
141C2×C3×C22⋊C4—24no—
142C2×C3×C22⋊C4C2×D311yescharacteristic
143C2×C3×C22⋊C4C2×D311yescharacteristic
144C2×C3×C22⋊C4C2×D311yescharacteristic
145C2×C3×C22⋊C4C2×D311yescharacteristic
146#953—64no—
147C2×#217—31no—
148C2×#217—31no—
149C2×#217—31no—
150C2×#217—31no—
151C2×#217—31no—
152C2×#217—31no—
153C2×#217—31no—
154C2×#217—31no—
155C2×#217—31no—
156C4×#67—64no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—31no—
160C2×C4⋊Dic3—31no—
161C2×C4⋊Dic3—31no—
162C2×Dic3⋊C4—31no—
163C2×Dic3⋊C4—31no—
164C2×Dic3⋊C4—31no—
165C2×C4×Dic3—31no—
166#883—64no—
167C3⋊#95—31no—
168C3⋊#95—31no—
169C3⋊#95—31no—
170C3⋊#95—31no—
171C3⋊#95—31no—
172C3⋊#95—31no—
173C23×C9—21no—
174C23×C9—21no—
175C23×C9—21no—
176C23×C9—21no—
177C23×C9—28no—
178C23×C9—21no—
179C23×C9—21no—
180C23×C9—21no—
181C23×C9—21no—
182C23×C9—21no—
183C23×C9—21no—
184C23×C9—21no—
185C23×C9—21no—
186C23×C9—21no—
187C23×C9—21no—
188C23×C9—21no—
189C23×C9—21no—
190C23×C9—44no—
191C23×C9—44no—
192C23×C9—44no—
193C23×C9—44no—
194C23×C9—44no—
195C23×C9—44no—
196C23×C9C2×D412yes—
197C23×C9C2×D412yes—
198C23×C9#4112yes—
199C23×C9#4112yes—
200C23×C9#4112yes—
201C23×C9C2411yescharacteristic
202C22×D9—21no—
203C22×D9—21no—
204C22×D9—21no—
205C22×D9—21no—
206C22×D9—21no—
207C22×D9—21no—
208C22×D9C2×D412yes—
209C2×C4×C9—21no—
210C2×C4×C9—21no—
211C2×C4×C9—21no—
212C2×C4×C9—21no—
213C2×C4×C9—21no—
214C2×C4×C9—21no—
215C2×C4×C9—21no—
216C2×C4×C9—21no—
217C2×C4×C9—21no—
218C2×C4×C9—21no—
219C2×C4×C9—44no—
220C2×C4×C9—44no—
221C2×C4×C9C2×D412yes—
222C2×C4×C9C2×D412yes—
223#611—28no—
224#611—44no—
225#611—44no—
226C2×Dic9—21no—
227C2×Dic9—21no—
228C2×Dic9—21no—
229C2×Dic9—21no—
230C2×Dic9—21no—
231C2×Dic9—21no—
232C2×Dic9—21no—
233C2×Dic9—21no—
234C2×Dic9—21no—
235C2×Dic9—21no—
236C2×Dic9—21no—
237C2×Dic9—21no—
238C2×Dic9—21no—
239C2×Dic9—21no—
240C2×Dic9—21no—
241C2×Dic9—21no—
242C2×Dic9—21no—
243C2×Dic9—21no—
244C2×Dic9—21no—
245C2×Dic9—21no—
246C2×Dic9C2×D412yes—
247C4×D9—44no—
248C2×#123—91no—
249C2×#120—91no—
250C2×C4×D4—91no—
251C22×C22⋊C4D911yescharacteristic, complemented
252#399—91no—
253#397—91no—
254#394—91no—
255#394—91no—
256#388—91no—
257#388—91no—
258#386—91no—
259#386—91no—
260#385—91no—
261#380—91no—
262#379—91no—
263C24×C3—22no—
264C24×C3—22no—
265C24×C3—22no—
266C24×C3—22no—
267C24×C3—22no—
268C24×C3—41no—
269C24×C3—41no—
270C24×C3C22×D311yescharacteristic
271C24×C3C22×D311yescharacteristic
272C24×C3C22×D311yescharacteristic
273C23×D3—31no—
274C22×C3×C4—22no—
275C22×C3×C4—22no—
276C22×C3×C4—22no—
277C22×C3×C4—22no—
278C22×C3×C4—41no—
279C22×C3×C4—41no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C22×C3×C4C22×D311yescharacteristic
283C22×C3×C4C22×D311yescharacteristic
284C2×#67—34no—
285C2×#67—62no—
286C2×#67—62no—
287C2×#67—62no—
288C2×#67—62no—
289C2×#67—62no—
290C2×#67—62no—
291C2×#67—121no—
292C2×#67—121no—
293C22×Dic3—31no—
294C22×Dic3—31no—
295C22×Dic3—31no—
296C22×Dic3—31no—
297C22×Dic3—31no—
298C22×Dic3—31no—
299C22×Dic3—31no—
300C2×C4×D3—62no—
301C2×C4×D3—62no—
302C2×C4×D3—121no—
303C3×C22⋊C4—22no—
304C3×C22⋊C4—22no—
305C3×C22⋊C4—22no—
306C3×C22⋊C4#6714yes—
307#217—62no—
308#217—62no—
309#217—62no—
310#217—62no—
311#217—62no—
312#217—62no—
313#217—62no—
314#217—121no—
315#217—121no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—121no—
319C4⋊Dic3—62no—
320C4⋊Dic3—121no—
321Dic3⋊C4—62no—
322Dic3⋊C4—62no—
323Dic3⋊C4—121no—
324C4×Dic3—62no—
325C22×C9—22no—
326C22×C9—22no—
327C22×C9—22no—
328C22×C9—22no—
329C22×C9—22no—
330C22×C9—22no—
331C22×C9—22no—
332C22×C9—22no—
333C22×C9—22no—
334C22×C9—22no—
335C22×C9—22no—
336C22×C9—22no—
337C22×C9—416no—
338C22×C9—41no—
339C22×C9—41no—
340C22×C9—41no—
341C22×C9—41no—
342C22×C9—41no—
343C22×C9—41no—
344C22×C9—41no—
345C22×C9—41no—
346C22×C9#12314yescomplemented
347C22×C9C22×D411yescharacteristic
348C22×C9C22×D411yescharacteristic
349C22×C9C2×#4111yescharacteristic
350C22×C9C2×#4111yescharacteristic
351C22×C9C2×#4111yescharacteristic
352C22×C9H(5,𝔽2)11yescharacteristic
353C22×C9H(5,𝔽2)11yescharacteristic
354C2×D9—22no—
355C2×D9—22no—
356C2×D9—22no—
357C2×D9—41no—
358C2×D9—41no—
359C2×D9—41no—
360C2×D9—41no—
361C4×C9—22no—
362C4×C9—22no—
363C4×C9—41no—
364C4×C9—41no—
365Dic9—22no—
366Dic9—41no—
367Dic9—41no—
368Dic9—41no—
369Dic9—41no—
370Dic9—41no—
371Dic9—41no—
372C25C2×D911yescharacteristic
373C22×D4—91no—
374C22×D4—91no—
375C22×D4—91no—
376C23×C4—91no—
377C23×C4C2×D911yescharacteristic
378C23×C4C2×D911yescharacteristic
379#123—184no—
380#120—184no—
381C4×D4—184no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C22⋊C4—24no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—91no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—91no—
400C2×C22⋊C4C2×D911yescharacteristic
401C2×C22⋊C4C2×D911yescharacteristic
402C2×C22⋊C4C2×D911yescharacteristic
403C2×C22⋊C4C2×D911yescharacteristic
404C2×C42—91no—
405#95—91no—
406#95—91no—
407#95—91no—
408#95—91no—
409#95—91no—
410#95—91no—
411C23×C3—21no—
412C23×C3—21no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—28no—
416C23×C3—21no—
417C23×C3—21no—
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—44no—
429C23×C3—44no—
430C23×C3—44no—
431C23×C3—44no—
432C23×C3—44no—
433C23×C3—44no—
434C23×C3#23512yes—
435C23×C3#23512yes—
436C23×C3D3×D412yes—
437C23×C3#23712yes—
438C23×C3C2×#6712yes—
439C23×C3C23×D311yescharacteristic
440C22×D3—32no—
441C22×D3—61no—
442C22×D3—61no—
443C22×D3—61no—
444C22×D3—61no—
445C22×D3—61no—
446C22×D3—61no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—44no—
458C2×C3×C4—44no—
459C2×C3×C4C2×#6712yes—
460C2×C3×C4C2×#6712yes—
461#67—68no—
462#67—124no—
463#67—124no—
464C2×Dic3—32no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—61no—
468C2×Dic3—61no—
469C2×Dic3—61no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474C2×Dic3—61no—
475C2×Dic3—61no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C4×D3—124no—
486C2×C9—24no—
487C2×C9—42no—
488C2×C9—42no—
489C2×C9C2×#12311yescharacteristic
490C2×C9#52511yescharacteristic
491C2×C9#53811yescharacteristic
492C2×C9D4211yescharacteristic
493C2×C9#54611yescharacteristic
494C2×C9#54611yescharacteristic
495C2×C9#55111yescharacteristic
496D9—42no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—41no—
503C24—41no—
504C24—91no—
505C24C22×D911yescharacteristic
506C24C22×D911yescharacteristic
507C24C22×D911yescharacteristic
508C2×D4—94no—
509C2×D4—182no—
510C2×D4—182no—
511C2×D4—182no—
512C2×D4—182no—
513C2×D4—182no—
514C2×D4—182no—
515C2×D4—361no—
516C2×D4—361no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—91no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—182no—
531C22×C4—182no—
532C22×C4—361no—
533C22×C4C22×D911yescharacteristic
534C22×C4C22×D911yescharacteristic
535C22×C4C22×D911yescharacteristic
536C22×C4C22×D911yescharacteristic
537C4⋊C4—182no—
538C4⋊C4—182no—
539C4⋊C4—182no—
540C4⋊C4—361no—
541C4⋊C4—361no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—182no—
546C22⋊C4—182no—
547C22⋊C4—182no—
548C22⋊C4—182no—
549C22⋊C4—182no—
550C22⋊C4—182no—
551C22⋊C4—182no—
552C22⋊C4—182no—
553C22⋊C4—182no—
554C22⋊C4—361no—
555C22⋊C4—361no—
556C22⋊C4—361no—
557C22⋊C4#61114yescomplemented
558C42—182no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—22no—
570C22×C3—22no—
571C22×C3—416no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3#88314yes—
581C22×C3C2×#23511yescharacteristic
582C22×C3C2×#23511yescharacteristic
583C22×C3C2×D3×D411yescharacteristic
584C22×C3C2×#23711yescharacteristic
585C22×C3#100411yescharacteristic
586C22×C3#100411yescharacteristic
587C22×C3C22×#6711yescharacteristic
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—121no—
592C2×D3—121no—
593C2×D3—121no—
594C2×D3—121no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—41no—
598C3×C4—41no—
599Dic3—62no—
600Dic3—121no—
601Dic3—121no—
602Dic3—121no—
603Dic3—121no—
604Dic3—121no—
605Dic3—121no—
606C9#241811yescharacteristic, complemented, Sylow
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—28no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—92no—
631C23—181no—
632C23—181no—
633C23—181no—
634C23—181no—
635C23—181no—
636C23—181no—
637C23#369712yes—
638C23#369712yes—
639C23D4×D912yes—
640C23#369912yes—
641C23C2×#61112yes—
642C23C23×D911yescharacteristic
643D4—188no—
644D4—364no—
645D4—364no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—92no—
659C2×C4—181no—
660C2×C4—181no—
661C2×C4—181no—
662C2×C4—181no—
663C2×C4—181no—
664C2×C4—181no—
665C2×C4—181no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—181no—
674C2×C4—181no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—181no—
679C2×C4—364no—
680C2×C4C2×#61112yes—
681C2×C4C2×#61112yes—
682C2×C3—24no—
683C2×C3—42no—
684C2×C3—42no—
685C2×C3C2×#88311yescharacteristic
686C2×C3#549011yescharacteristic
687C2×C3#549411yescharacteristic
688C2×C3#549511yescharacteristic
689C2×C3#579111yescharacteristic
690C2×C3D4×#6711yescharacteristic
691C2×C3#580611yescharacteristic
692D3—122no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—416no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—182no—
715C22—182no—
716C22—182no—
717C22—361no—
718C22—361no—
719C22—361no—
720C22—361no—
721C22#6344514yescomplemented
722C22C2×#369711yescharacteristic
723C22C2×#369711yescharacteristic
724C22C2×D4×D911yescharacteristic
725C22C2×#369911yescharacteristic
726C22#6371011yescharacteristic
727C22#6371011yescharacteristic
728C22C22×#61111yescharacteristic
729C4—22no—
730C4—22no—
731C4—41no—
732C4—41no—
733C4—182no—
734C4—361no—
735C4—361no—
736C4—361no—
737C4—361no—
738C4—361no—
739C4—361no—
740C3#8212811yescharacteristic
741C2—24no—
742C2—42no—
743C2—42no—
744C2—362no—
745C2C2×#6344511yescharacteristic
746C2#1058959211yescharacteristic
747C2#1058959611yescharacteristic
748C2#1058959711yescharacteristic
749C2#1058989311yescharacteristic
750C2D4×#61111yescharacteristic
751C2#1058990811yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC23×C9C24
Frattini, socleC23×C3C23×D3
FittingC22×C9×C22⋊C4C2
prime radicalC2×#63515C2
hypercenterC22×C22⋊C4D9
hypocenterC9#2418
LCSG ▷ C23×C9 ▷ C9
UCSC1 ◁ C23 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C9×C22⋊C4C2semidirect
3. C2×C4×#611C2semidirect
4. C2×#63445C2semidirect
5. #10588927C2semidirect
6. #10588893C2semidirect
7. #10588892C2semidirect
8. #10588890C2semidirect
9. #10588641C2semidirect
10. #10588639C2semidirect
11. #10588636C2semidirect
12. #10588632C2semidirect
13. #10588631C2semidirect
14. #10588629C2semidirect
15. #10588625C2semidirect
23. C22×C4×D9C22semidirect
40. C2×(C2×D9)⋊C4C22semidirect
41. C2×(C2×D9)⋊C4C22semidirect
42. C2×(C2×D9)⋊C4C22semidirect
43. C2×C4⋊Dic9C22semidirect
44. C2×C4⋊Dic9C22semidirect
45. C2×Dic9⋊C4C22semidirect
46. C2×Dic9⋊C4C22semidirect
47. C2×Dic9⋊C4C22semidirect
48. C2×C4×Dic9C22semidirect
50. C9⋊#95C22semidirect
51. C9⋊#95C22semidirect
52. C9⋊#95C22semidirect
53. C9⋊#95C22semidirect
54. C9⋊#95C22semidirect
55. C9⋊#95C22semidirect
114. C9×C22⋊C4D4semidirect
251. C22×C22⋊C4D9semidirect
346. C22×C9#123semidirect
557. C22⋊C4#611semidirect
606. C9#2418semidirect
721. C22#63445semidirect

Maximal subgroups

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

subgroupindex
C22×C9×C22⋊C42
C2×#635152
C2×C4×#6112
C2×#634452
#105889272
#105888932
#105888922
#105888902
#105886412
#105886392
#105886362
#105886322
#105886312
#105886292
#105886252
#821283