Finite Group Databasebeta

← #13150880

Subgroups — #13150880

Order 1728.

1263 conjugacy classes of subgroups.

The subgroup lattice has 697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3828⋊C3C211yesmaximal, characteristic, complemented
2C2×#88654C211yesmaximal, characteristic, complemented
3#11721830C211yesmaximal, characteristic, complemented
4C4×#638⋊C3C211yesmaximal, characteristic, complemented
5#11721324C212yesmaximal, complemented
6#11721312C212yesmaximal, complemented
7#11721160C212yesmaximal, complemented
8#11721132C211yesmaximal, characteristic, complemented
9#11721114C211yesmaximal, characteristic, complemented
10#11721106C211yesmaximal, characteristic, complemented
11#11721100C212yesmaximal, complemented
12#10595078—31nomaximal
13#10595070—31nomaximal
14C22×((C3⋊D3)⋊C3)⋊C2C2212yes—
15C22×C4×H(3,𝔽3)C2211yescharacteristic, complemented
16C2×#6235C2212yescomplemented
17C2×C4⋊#272C2211yescharacteristic
18C2×#638⋊C3C2211yescharacteristic
19C2×#638⋊C3C2212yescomplemented
20#3828⋊C3—24no—
21C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
22C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
23C2×C4×(C3⋊D3)⋊C3C2212yescomplemented
24C2×#634⋊C3C2211yescharacteristic, complemented
25C2×#6200C2212yes—
26C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
27#88654—24no—
28#88542C2212yescomplemented
29C4⋊#1084C2211yescharacteristic, complemented
30#3757⋊C3C2211yescharacteristic, complemented
31#3752⋊C3C2211yescharacteristic
32#3750⋊C3C2211yescharacteristic, complemented
33C4×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
34#88451C2212yescomplemented
35#88451C2212yescomplemented
36#88450C2212yes—
37#88450C2212yescomplemented
38#88449C2212yescomplemented
39C2×#3828D311yescharacteristic, complemented
40C2×C3×#235—31no—
41C2×#3802—31no—
42C2×D3×D12—31no—
43C4×#638D311yescharacteristic, complemented
44C3×#930—31no—
45C3×#930—31no—
46C3×#930—61no—
47C3×C4×#67—31no—
48#63983—32no—
49#63983—32no—
50#63970—32no—
51#63958—32no—
52#63921—32no—
53D3×(C2×D3)⋊C4—32no—
54#63905—32no—
55#63898—31no—
56#63894—31no—
57#63871—31no—
58#63863—31no—
59#63860—31no—
60#63857—31no—
61#63853—32no—
62C23×H(3,𝔽3)C2311yescharacteristic
63C22×#272C2312yes—
64C22×(C3⋊D3)⋊C3C2312yes—
65C22×(C3⋊D3)⋊C3C2311yescharacteristic
66C2×((C3⋊D3)⋊C3)⋊C2—24no—
67C2×((C3⋊D3)⋊C3)⋊C2—24no—
68C2×((C3⋊D3)⋊C3)⋊C2—42no—
69C2×C4×H(3,𝔽3)—22no—
70C2×C4×H(3,𝔽3)C2311yescharacteristic
71C2×C4×H(3,𝔽3)C2311yescharacteristic
72#6235—42no—
73C2×#1084C2312yes—
74C4⋊#272—22no—
75#638⋊C3—24no—
76#638⋊C3—22no—
77C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
78C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
79C2×(C3⋊Dic3)⋊C3C2312yes—
80C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
81C4⋊((C3⋊D3)⋊C3)D414yescomplemented
82C4×(C3⋊D3)⋊C3—24no—
83C4×(C3⋊D3)⋊C3—22no—
84#634⋊C3—22no—
85#6200—24no—
86((C3⋊D3)⋊C3)⋊C4—42no—
87#5829—91no—
88#5612—91no—
89#5550—91no—
90C22×D32—32no—
91C22×D32—32no—
92C22×C32×C4—21no—
93C22×C32×C4C2×D311yescharacteristic, complemented
94C22×C32×C4C2×D311yescharacteristic, complemented
95C2×#638C2×D311yescharacteristic
96C2×#638C2×D312yescomplemented
97#3828—24no—
98C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
99C2×C4×C3⋊D3C2×D311yescharacteristic
100C2×C4×C3⋊D3C2×D312yescomplemented
101C2×#634C2×D311yescharacteristic, complemented
102C2×C3×#67—31no—
103C2×C3×#67—32no—
104C2×C3×#67—32no—
105C2×C3×#67—32no—
106C2×C3×#67—62no—
107C3×#235—64no—
108C2×C3×D12—31no—
109C2×C3×D12—31no—
110C2×C3×D12—31no—
111C2×C3×D12—61no—
112C2×C3×C4×D3—31no—
113C2×C3×C4×D3—32no—
114C2×C3×Dic6—31no—
115C2×#626—32no—
116C2×#625—32no—
117C2×#624—32no—
118C2×D3×Dic3—32no—
119#3802—64no—
120D3×D12—64no—
121#3757C2×D311yescharacteristic, complemented
122#3752C2×D311yescharacteristic
123#3750C2×D311yescharacteristic, complemented
124C4×C3⋊Dic3C2×D311yescharacteristic, complemented
125C3×#217—31no—
126C3×(C2×D3)⋊C4—31no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4—62no—
130C3×C4⋊Dic3—31no—
131C3×C4⋊Dic3—31no—
132C3×C4⋊Dic3—61no—
133C3×Dic3⋊C4—31no—
134C3×C4×Dic3—31no—
135Dic3⋊Dic3—32no—
136Dic3⋊Dic3—32no—
137#3722—32no—
138#3722—32no—
139(C2×D3)⋊Dic3—32no—
140(C2×D3)⋊Dic3—32no—
141(C2×D3)⋊Dic3—32no—
142(C2×D3)⋊Dic3—32no—
143(C2×D3)⋊Dic3—32no—
144(C2×D3)⋊Dic3—32no—
145C22×H(3,𝔽3)—21no—
146C22×H(3,𝔽3)—21no—
147C22×H(3,𝔽3)—21no—
148C22×H(3,𝔽3)C2411yescharacteristic
149C2×#272—22no—
150C2×#272—22no—
151C2×#272—22no—
152C2×(C3⋊D3)⋊C3—21no—
153C2×(C3⋊D3)⋊C3—22no—
154C2×(C3⋊D3)⋊C3—22no—
155C2×(C3⋊D3)⋊C3—21no—
156C2×(C3⋊D3)⋊C3C2×D414yes—
157C2×(C3⋊D3)⋊C3#4112yescomplemented
158((C3⋊D3)⋊C3)⋊C2—48no—
159C4×H(3,𝔽3)—21no—
160C4×H(3,𝔽3)C2×D412yes—
161#1084—22no—
162(C3⋊Dic3)⋊C3—21no—
163(C3⋊Dic3)⋊C3—22no—
164(C3⋊Dic3)⋊C3—21no—
165(C3⋊Dic3)⋊C3—21no—
166C2×C3×#41—91no—
167C2×D3×D4—91no—
168C2×D3×D4—91no—
169C2×#235—31no—
170C2×#235—91no—
171C22×D12—91no—
172C3×#121—91no—
173C3×C4×D4—91no—
174#947—91no—
175#946—91no—
176#939—92no—
177#938—92no—
178#937—92no—
179#937—92no—
180#937—92no—
181#936—91no—
182D4×Dic3—91no—
183#930—31no—
184#930—31no—
185#930—61no—
186#929—92no—
187C4×#67—31no—
188C4×#67—91no—
189C2×(C2×D3)⋊C4—92no—
190#924—91no—
191#897—91no—
192#894—92no—
193#893—91no—
194#884—92no—
195#883—92no—
196D3×C22⋊C4—92no—
197D3×C22⋊C4—92no—
198#875—91no—
199C4×D12—91no—
200C23×C32—21no—
201C23×C32C22×D311yescharacteristic
202C23×C32C22×D311yescharacteristic
203C22×C3⋊D3C22×D311yescharacteristic
204C22×C3⋊D3C22×D312yes—
205C22×C3×D3—31no—
206C22×C3×D3—32no—
207C22×C3×D3—32no—
208C22×C3×D3—32no—
209C22×C3×D3—62no—
210C2×D32—64no—
211C2×D32—64no—
212C2×D32—64no—
213C2×D32—64no—
214C2×D32—122no—
215C2×D32—122no—
216C2×C32×C4—22no—
217C2×C32×C4—22no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4—42no—
221C2×C32×C4C22×D311yescharacteristic
222C2×C32×C4C22×D311yescharacteristic
223C2×C32×C4C22×D311yescharacteristic
224C2×C32×C4C22×D311yescharacteristic
225#638—22no—
226#638—24no—
227C2×C3⋊Dic3C22×D311yescharacteristic
228C2×C3⋊Dic3C22×D312yes—
229C2×C3⋊Dic3C22×D311yescharacteristic
230C2×C3⋊Dic3C22×D311yescharacteristic
231C4⋊(C3⋊D3)#6714yescomplemented
232C4×C3⋊D3—24no—
233C4×C3⋊D3—22no—
234#634—22no—
235C3×#67—64no—
236C3×#67—62no—
237C3×#67—122no—
238C3×#67—122no—
239C3×#67—124no—
240C2×C3×Dic3—31no—
241C2×C3×Dic3—32no—
242C2×C3×Dic3—31no—
243C2×C3×Dic3—31no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—62no—
247C3×D12—34no—
248C3×D12—62no—
249C3×D12—62no—
250C3×D12—122no—
251C3×C4×D3—64no—
252C3×C4×D3—62no—
253C3×Dic6—62no—
254#626—64no—
255#625—64no—
256#624—122no—
257D3×Dic3—122no—
258#546—271noSylow
259C2×H(3,𝔽3)—41no—
260C2×H(3,𝔽3)C22×D411yescharacteristic
261C2×H(3,𝔽3)C2×#4111yescharacteristic
262C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
263#272—42no—
264(C3⋊D3)⋊C3—22no—
265(C3⋊D3)⋊C3—24no—
266C23×D3—92no—
267C23×D3—92no—
268C23×D3—92no—
269C3×#41—184no—
270C2×C3×Q8—91no—
271C2×C3×D4—91no—
272C2×C3×D4—91no—
273C2×C3×D4—92no—
274C2×C3×D4—92no—
275C2×C3×D4—91no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—61no—
279C22×C3×C4—91no—
280C22×C3×C4—92no—
281C22×C3×C4D3211yescharacteristic
282C2×#67—31no—
283C2×#67—32no—
284C2×#67—32no—
285C2×#67—32no—
286C2×#67—62no—
287C2×#67—92no—
288C2×#67—91no—
289C2×#67—92no—
290C2×#67—92no—
291C22×Dic3—92no—
292D3×D4—184no—
293D3×D4—184no—
294#235—64no—
295#235—184no—
296C2×D12—31no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—91no—
301C2×D12—92no—
302C2×D12—184no—
303C2×C4×D3—32no—
304C2×C4×D3—31no—
305C2×C4×D3—92no—
306C2×C4×D3—91no—
307C2×C4×D3—92no—
308C2×C4×D3—92no—
309C2×Dic6—31no—
310C2×Dic6—91no—
311C3×C4⋊C4—91no—
312C3×C4⋊C4—91no—
313C3×C22⋊C4—91no—
314C3×C22⋊C4—91no—
315C3×C22⋊C4—92no—
316C3×C42—91no—
317#217—31no—
318#217—91no—
319#217—92no—
320#217—92no—
321#217—92no—
322#217—92no—
323(C2×D3)⋊C4—32no—
324(C2×D3)⋊C4—32no—
325(C2×D3)⋊C4—31no—
326(C2×D3)⋊C4—62no—
327(C2×D3)⋊C4—91no—
328(C2×D3)⋊C4—92no—
329(C2×D3)⋊C4—92no—
330(C2×D3)⋊C4—92no—
331(C2×D3)⋊C4—92no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4—92no—
336C4⋊Dic3—31no—
337C4⋊Dic3—31no—
338C4⋊Dic3—61no—
339C4⋊Dic3—92no—
340Dic3⋊C4—31no—
341Dic3⋊C4—91no—
342Dic3⋊C4—92no—
343Dic3⋊C4—92no—
344C4×Dic3—31no—
345C4×Dic3—91no—
346C22×C32—22no—
347C22×C32—21no—
348C22×C32—21no—
349C22×C32—21no—
350C22×C32—21no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32—21no—
354C22×C32—41no—
355C22×C32—41no—
356C22×C32C23×D311yescharacteristic
357C22×C32C23×D311yescharacteristic
358C2×C3⋊D3—21no—
359C2×C3⋊D3—22no—
360C2×C3⋊D3—22no—
361C2×C3⋊D3—21no—
362C2×C3⋊D3#23512yescomplemented
363C2×C3⋊D3C2×#6714yes—
364C2×C3×D3—34no—
365C2×C3×D3—32no—
366C2×C3×D3—62no—
367C2×C3×D3—62no—
368C2×C3×D3—61no—
369C2×C3×D3—61no—
370C2×C3×D3—62no—
371C2×C3×D3—62no—
372C2×C3×D3—62no—
373C2×C3×D3—62no—
374C2×C3×D3—62no—
375C2×C3×D3—62no—
376C2×C3×D3—122no—
377C2×C3×D3—122no—
378C2×C3×D3—122no—
379D32—128no—
380D32—128no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—22no—
384C32×C4—41no—
385C32×C4D3×D412yes—
386C32×C4C2×#6712yes—
387C3⋊Dic3—21no—
388C3⋊Dic3—21no—
389C3⋊Dic3—21no—
390C3⋊Dic3—22no—
391C3×Dic3—62no—
392C3×Dic3—61no—
393C3×Dic3—61no—
394C3×Dic3—62no—
395C3×Dic3—62no—
396C3×Dic3—61no—
397C3×Dic3—122no—
398C2×#41—91no—
399C22×D4—271no—
400#124—271no—
401#123—272no—
402C22⋊Q8—271no—
403#121—91no—
404#121—272no—
405#120—272no—
406C4×D4—91no—
407C4×D4—271no—
408C2×C22⋊C4—272no—
409H(3,𝔽3)#54611yescharacteristic, complemented, Sylow
410C23×C3—31no—
411C23×C3—31no—
412C23×C3—61no—
413C23×C3—91no—
414C23×C3—92no—
415C23×C3—92no—
416C23×C3C2×D3211yescharacteristic
417C22×D3—31no—
418C22×D3—32no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—62no—
422C22×D3—91no—
423C22×D3—92no—
424C22×D3—184no—
425C22×D3—184no—
426C22×D3—184no—
427C22×D3—184no—
428C22×D3—184no—
429C22×D3—184no—
430C22×D3—362no—
431C22×D3—362no—
432C22×D3—362no—
433C3×Q8—182no—
434C3×D4—94no—
435C3×D4—182no—
436C3×D4—184no—
437C3×D4—182no—
438C3×D4—362no—
439C2×C3×C4—22no—
440C2×C3×C4—31no—
441C2×C3×C4—31no—
442C2×C3×C4—31no—
443C2×C3×C4—31no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—61no—
447C2×C3×C4—61no—
448C2×C3×C4—91no—
449C2×C3×C4—92no—
450C2×C3×C4—91no—
451C2×C3×C4—91no—
452C2×C3×C4—92no—
453C2×C3×C4—122no—
454C2×C3×C4—182no—
455C2×C3×C4—184no—
456C2×C3×C4C2×D3211yescharacteristic
457C2×C3×C4C2×D3211yescharacteristic
458#67—64no—
459#67—62no—
460#67—122no—
461#67—122no—
462#67—124no—
463#67—184no—
464#67—182no—
465#67—184no—
466#67—184no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—31no—
470C2×Dic3—31no—
471C2×Dic3—31no—
472C2×Dic3—32no—
473C2×Dic3—62no—
474C2×Dic3—91no—
475C2×Dic3—91no—
476C2×Dic3—91no—
477C2×Dic3—92no—
478C2×Dic3—362no—
479D12—34no—
480D12—62no—
481D12—62no—
482D12—94no—
483D12—122no—
484D12—184no—
485C4×D3—64no—
486C4×D3—62no—
487C4×D3—182no—
488C4×D3—184no—
489C4×D3—362no—
490C4×D3—362no—
491Dic6—62no—
492Dic6—182no—
493C2×C32—21no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—42no—
497C2×C32—41no—
498C2×C32—41no—
499C2×C32C2×#23511yescharacteristic
500C2×C32C2×D3×D411yescharacteristic
501C2×C32D3×#4111yescharacteristic
502C2×C32#100911yescharacteristic
503C2×C32#100911yescharacteristic
504C2×C32C22×#6711yescharacteristic
505C3⋊D3—22no—
506C3⋊D3—24no—
507C3×D3—64no—
508C3×D3—62no—
509C3×D3—122no—
510C3×D3—122no—
511C3×D3—242no—
512C24—272no—
513#41—184no—
514C2×Q8—91no—
515C2×D4—91no—
516C2×D4—92no—
517C2×D4—92no—
518C2×D4—91no—
519C2×D4—91no—
520C2×D4—272no—
521C2×D4—544no—
522C22×C4—92no—
523C22×C4—91no—
524C22×C4—272no—
525C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
526C4⋊C4—91no—
527C4⋊C4—91no—
528C4⋊C4—272no—
529C22⋊C4—91no—
530C22⋊C4—91no—
531C22⋊C4—92no—
532C22⋊C4—272no—
533C22⋊C4—272no—
534C22⋊C4—272no—
535C22⋊C4—272no—
536C42—91no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—31no—
541C22×C3—31no—
542C22×C3—61no—
543C22×C3—61no—
544C22×C3—61no—
545C22×C3—61no—
546C22×C3—61no—
547C22×C3—61no—
548C22×C3—62no—
549C22×C3—61no—
550C22×C3—94no—
551C22×C3—92no—
552C22×C3—121no—
553C22×C3—121no—
554C22×C3—182no—
555C22×C3—181no—
556C22×C3—182no—
557C22×C3—181no—
558C22×C3—182no—
559C22×C3—182no—
560C22×C3—182no—
561C22×C3C22×D3211yescharacteristic
562C2×D3—32no—
563C2×D3—34no—
564C2×D3—62no—
565C2×D3—62no—
566C2×D3—61no—
567C2×D3—61no—
568C2×D3—62no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—94no—
575C2×D3—92no—
576C2×D3—122no—
577C2×D3—122no—
578C2×D3—122no—
579C2×D3—181no—
580C2×D3—182no—
581C2×D3—182no—
582C2×D3—181no—
583C2×D3—368no—
584C2×D3—368no—
585C2×D3—368no—
586C3×C4—21no—
587C3×C4—32no—
588C3×C4—32no—
589C3×C4—61no—
590C3×C4—61no—
591C3×C4—62no—
592C3×C4—121no—
593C3×C4—181no—
594C3×C4—181no—
595C3×C4—182no—
596C3×C4—181no—
597C3×C4—182no—
598C3×C4D3×#6712yes—
599Dic3—62no—
600Dic3—62no—
601Dic3—61no—
602Dic3—61no—
603Dic3—62no—
604Dic3—61no—
605Dic3—122no—
606Dic3—182no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610C32—21no—
611C32#555011yescharacteristic, complemented
612C32#582911yescharacteristic, complemented
613C23—91no—
614C23—92no—
615C23—92no—
616C23—544no—
617C23—544no—
618C23—1082no—
619C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
620Q8—182no—
621D4—94no—
622D4—184no—
623D4—182no—
624D4—182no—
625D4—362no—
626D4—544no—
627C2×C4—22no—
628C2×C4—91no—
629C2×C4—91no—
630C2×C4—92no—
631C2×C4—91no—
632C2×C4—92no—
633C2×C4—184no—
634C2×C4—182no—
635C2×C4—1082no—
636C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
637C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
638C2×C3—31no—
639C2×C3—31no—
640C2×C3—31no—
641C2×C3—31no—
642C2×C3—31no—
643C2×C3—31no—
644C2×C3—41no—
645C2×C3—61no—
646C2×C3—61no—
647C2×C3—61no—
648C2×C3—121no—
649C2×C3—121no—
650C2×C3—122no—
651C2×C3—182no—
652C2×C3—184no—
653C2×C3—362no—
654C2×C3D3×#23511yescharacteristic
655C2×C3#6430811yescharacteristic
656C2×C3C2×D3×#6711yescharacteristic
657D3—62no—
658D3—64no—
659D3—122no—
660D3—122no—
661D3—182no—
662D3—184no—
663D3—242no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—94no—
668C22—92no—
669C22—181no—
670C22—182no—
671C22—182no—
672C22—181no—
673C22—182no—
674C22—182no—
675C22—182no—
676C22—1088no—
677C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
678C4—21no—
679C4—182no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—182no—
684C4#8867612yes—
685C3—31no—
686C3—31no—
687C3—61no—
688C3#1059506711yescharacteristic
689C2—41no—
690C2—182no—
691C2—184no—
692C2—362no—
693C2#1172249011yescharacteristic
694C2#1172249311yescharacteristic
695C2C2×#8867611yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutator, cosocleC22×H(3,𝔽3)C24
Frattini, socleC22×C3C22×D32
FittingC22×C4×H(3,𝔽3)C22
hypercenterC22×C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)#546
LCSG ▷ C22×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#3828⋊C3C2semidirect
2. C2×#88654C2semidirect
3. #11721830C2semidirect
4. C4×#638⋊C3C2semidirect
5. #11721324C2semidirect
6. #11721312C2semidirect
7. #11721160C2semidirect
8. #11721132C2semidirect
9. #11721114C2semidirect
10. #11721106C2semidirect
11. #11721100C2semidirect
15. C22×C4×H(3,𝔽3)C22semidirect
16. C2×#6235C22semidirect
19. C2×#638⋊C3C22semidirect
23. C2×C4×(C3⋊D3)⋊C3C22semidirect
24. C2×#634⋊C3C22semidirect
26. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
28. #88542C22semidirect
29. C4⋊#1084C22semidirect
30. #3757⋊C3C22semidirect
32. #3750⋊C3C22semidirect
33. C4×(C3⋊Dic3)⋊C3C22semidirect
34. #88451C22semidirect
35. #88451C22semidirect
37. #88450C22semidirect
38. #88449C22semidirect
39. C2×#3828D3semidirect
43. C4×#638D3semidirect
81. C4⋊((C3⋊D3)⋊C3)D4semidirect
93. C22×C32×C4C2×D3semidirect
94. C22×C32×C4C2×D3semidirect
96. C2×#638C2×D3semidirect
100. C2×C4×C3⋊D3C2×D3semidirect
101. C2×#634C2×D3semidirect
121. #3757C2×D3semidirect
123. #3750C2×D3semidirect
124. C4×C3⋊Dic3C2×D3semidirect
157. C2×(C3⋊D3)⋊C3#41semidirect
231. C4⋊(C3⋊D3)#67semidirect
362. C2×C3⋊D3#235semidirect
409. H(3,𝔽3)#546semidirect
525. C22×C4((C3⋊D3)⋊C3)⋊C2semidirect
611. C32#5550semidirect
612. C32#5829semidirect

Maximal subgroups

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

subgroupindex
C2×#3828⋊C32
C2×#886542
#117218302
C4×#638⋊C32
#117213242
#117213122
#117211602
#117211322
#117211142
#117211062
#117211002
#105950783
#105950703