Finite Group Databasebeta

← #13150891

Subgroups — #13150891

Order 1728.

1333 conjugacy classes of subgroups.

The subgroup lattice has 703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88740C211yesmaximal, characteristic, complemented
2C2×#88654C211yesmaximal, characteristic, complemented
3#64139⋊C3C211yesmaximal, characteristic, complemented
4C4×#638⋊C3C211yesmaximal, characteristic, complemented
5#11721324C212yesmaximal, complemented
6#11721303C212yesmaximal, complemented
7#11721161C212yesmaximal, complemented
8#11721149C211yesmaximal, characteristic, complemented
9#11721110C211yesmaximal, characteristic, complemented
10#11721107C211yesmaximal, characteristic, complemented
11#11721104C212yesmaximal, complemented
12#10595070—31nomaximal
13#10595067—31nomaximal
14C22×((C3⋊D3)⋊C3)⋊C2C2212yes—
15C22×C4×H(3,𝔽3)C2211yescharacteristic, complemented
16C2×#6235C2212yescomplemented
17#88740—24no—
18C2×C4⋊#272C2211yescharacteristic
19C2×C4×#272C2212yescomplemented
20C2×#6229C2211yescharacteristic, complemented
21C2×#638⋊C3C2211yescharacteristic
22C2×#638⋊C3C2212yescomplemented
23C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
24C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
25C2×#6200C2212yes—
26C2×#6199C2212yescomplemented
27#88654—24no—
28#3757⋊C3C2211yescharacteristic, complemented
29#3752⋊C3C2211yescharacteristic
30#3752⋊C3C2212yescomplemented
31C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic, complemented
32#3750⋊C3C2211yescharacteristic, complemented
33C4×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
34#88451C2212yescomplemented
35#88450C2212yes—
36#88450C2212yescomplemented
37#88450C2212yescomplemented
38#88448C2212yescomplemented
39C2×C3×#235—31no—
40C2×C3×#235—31no—
41C2×C3×#235—61no—
42C2×#3802—31no—
43C2×D3×D12—31no—
44#64139D311yescharacteristic, complemented
45C4×#638D311yescharacteristic, complemented
46C3×#930—31no—
47C3×C4×#67—31no—
48#63983—32no—
49#63983—32no—
50#63971—32no—
51#63970—32no—
52D3×(C2×D3)⋊C4—32no—
53D3×(C2×D3)⋊C4—32no—
54#63905—32no—
55#63898—31no—
56Dic3×D12—31no—
57#63871—31no—
58#63864—31no—
59#63863—31no—
60#63856—31no—
61#63850—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—24no—
73C2×#1084C2312yes—
74C4⋊#272D414yescomplemented
75C4×#272—24no—
76#6229—22no—
77#638⋊C3—22no—
78#638⋊C3—42no—
79C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
80C2×(C3⋊Dic3)⋊C3C2312yes—
81C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
82C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
83C4⋊((C3⋊D3)⋊C3)—22no—
84C4×(C3⋊D3)⋊C3—22no—
85#6200—24no—
86#6199—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
97C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
98C2×C4×C3⋊D3C2×D311yescharacteristic
99C2×C3×#67—31no—
100C2×C3×#67—32no—
101C2×C3×#67—32no—
102C2×C3×#67—32no—
103C2×C3×#67—62no—
104C3×#235—64no—
105C3×#235—64no—
106C3×#235—68no—
107C2×C3×D12—31no—
108C2×C3×D12—31no—
109C2×C3×D12—31no—
110C2×C3×D12—61no—
111C2×C3×C4×D3—31no—
112C2×C3×C4×D3—32no—
113C2×C3×C4×D3—32no—
114C2×C3×C4×D3—62no—
115C2×C3×Dic6—31no—
116C2×C3×Dic6—31no—
117C2×C3×Dic6—61no—
118C2×#626—32no—
119C2×#625—32no—
120C2×D3×Dic3—32no—
121C2×D3×Dic3—32no—
122#3802—64no—
123D3×D12—64no—
124#3757C2×D311yescharacteristic, complemented
125#3752C2×D311yescharacteristic
126#3752C2×D312yescomplemented
127C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
128#3750C2×D311yescharacteristic, complemented
129C4×C3⋊Dic3C2×D311yescharacteristic, complemented
130C3×#217—31no—
131C3×(C2×D3)⋊C4—31no—
132C3×(C2×D3)⋊C4—32no—
133C3×C4⋊Dic3—31no—
134C3×Dic3⋊C4—31no—
135C3×C4×Dic3—31no—
136#3724—32no—
137Dic3⋊Dic3—32no—
138#3722—32no—
139#3722—32no—
140#3722—32no—
141(C2×D3)⋊Dic3—32no—
142(C2×D3)⋊Dic3—32no—
143(C2×D3)⋊Dic3—32no—
144(C2×D3)⋊Dic3—32no—
145(C2×D3)⋊Dic3—32no—
146C22×H(3,𝔽3)—21no—
147C22×H(3,𝔽3)—21no—
148C22×H(3,𝔽3)—21no—
149C22×H(3,𝔽3)C2411yescharacteristic
150C2×#272—22no—
151C2×#272—22no—
152C2×#272C2×D414yes—
153C2×(C3⋊D3)⋊C3—21no—
154C2×(C3⋊D3)⋊C3—21no—
155C2×(C3⋊D3)⋊C3—22no—
156C2×(C3⋊D3)⋊C3—22no—
157C2×(C3⋊D3)⋊C3—22no—
158C2×(C3⋊D3)⋊C3#4112yescomplemented
159((C3⋊D3)⋊C3)⋊C2—48no—
160C4×H(3,𝔽3)—21no—
161C4×H(3,𝔽3)C2×D412yes—
162#1084—22no—
163(C3⋊Dic3)⋊C3—21no—
164(C3⋊Dic3)⋊C3—21no—
165(C3⋊Dic3)⋊C3—21no—
166(C3⋊Dic3)⋊C3—22no—
167C2×C3×#41—91no—
168C2×D3×D4—91no—
169C2×D3×D4—91no—
170C2×#235—31no—
171C2×#235—31no—
172C2×#235—61no—
173C22×D12—91no—
174C3×#121—91no—
175C3×C4×D4—91no—
176#947—91no—
177#946—91no—
178#939—92no—
179#938—92no—
180#937—92no—
181#937—92no—
182#937—92no—
183#936—91no—
184D4×Dic3—91no—
185#930—31no—
186#930—91no—
187#929—92no—
188C4×#67—31no—
189C4×#67—91no—
190C2×(C2×D3)⋊C4—92no—
191#924—91no—
192#897—91no—
193#894—92no—
194#893—91no—
195#884—92no—
196#883—92no—
197D3×C22⋊C4—92no—
198D3×C22⋊C4—92no—
199#875—91no—
200C4×D12—91no—
201C23×C32—21no—
202C23×C32C22×D311yescharacteristic
203C23×C32C22×D311yescharacteristic
204C22×C3⋊D3C22×D312yes—
205C22×C3⋊D3C22×D311yescharacteristic
206C22×C3×D3—31no—
207C22×C3×D3—32no—
208C22×C3×D3—32no—
209C22×C3×D3—32no—
210C22×C3×D3—62no—
211C2×D32—64no—
212C2×D32—64no—
213C2×D32—64no—
214C2×D32—64no—
215C2×D32—122no—
216C2×D32—122no—
217C2×C32×C4—24no—
218C2×C32×C4—22no—
219C2×C32×C4—22no—
220C2×C32×C4—21no—
221C2×C32×C4—21no—
222C2×C32×C4C22×D311yescharacteristic
223C2×C32×C4C22×D311yescharacteristic
224C2×C32×C4C22×D311yescharacteristic
225C2×C32×C4C22×D311yescharacteristic
226#638—22no—
227#638—42no—
228C2×C3⋊Dic3C22×D311yescharacteristic
229C2×C3⋊Dic3C22×D312yes—
230C2×C3⋊Dic3C22×D311yescharacteristic
231C2×C3⋊Dic3C22×D311yescharacteristic
232C4⋊(C3⋊D3)—22no—
233C4×C3⋊D3—22no—
234C3×#67—62no—
235C3×#67—64no—
236C3×#67—64no—
237C3×#67—68no—
238C3×#67—122no—
239C2×C3×Dic3—31no—
240C2×C3×Dic3—32no—
241C2×C3×Dic3—31no—
242C2×C3×Dic3—31no—
243C2×C3×Dic3—32no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—62no—
246C3×D12—34no—
247C3×D12—34no—
248C3×D12—64no—
249C3×D12—62no—
250C3×C4×D3—64no—
251C3×C4×D3—64no—
252C3×C4×D3—68no—
253C3×C4×D3—62no—
254C3×Dic6—64no—
255C3×Dic6—62no—
256C3×Dic6—62no—
257#626—64no—
258#625—64no—
259D3×Dic3—122no—
260D3×Dic3—122no—
261#546—271noSylow
262C2×H(3,𝔽3)—41no—
263C2×H(3,𝔽3)C22×D411yescharacteristic
264C2×H(3,𝔽3)C2×#4111yescharacteristic
265C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
266#272—24no—
267(C3⋊D3)⋊C3—22no—
268(C3⋊D3)⋊C3—42no—
269C23×D3—92no—
270C23×D3—92no—
271C23×D3—92no—
272C3×#41—184no—
273C2×C3×Q8—91no—
274C2×C3×D4—91no—
275C2×C3×D4—91no—
276C2×C3×D4—92no—
277C2×C3×D4—92no—
278C2×C3×D4—91no—
279C22×C3×C4—31no—
280C22×C3×C4—31no—
281C22×C3×C4—61no—
282C22×C3×C4—91no—
283C22×C3×C4—92no—
284C22×C3×C4D3211yescharacteristic
285C2×#67—32no—
286C2×#67—32no—
287C2×#67—31no—
288C2×#67—32no—
289C2×#67—62no—
290C2×#67—91no—
291C2×#67—92no—
292C2×#67—92no—
293C2×#67—92no—
294C22×Dic3—92no—
295D3×D4—184no—
296D3×D4—184no—
297#235—64no—
298#235—64no—
299#235—68no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—61no—
304C2×D12—91no—
305C2×D12—92no—
306C2×D12—184no—
307C2×C4×D3—32no—
308C2×C4×D3—32no—
309C2×C4×D3—31no—
310C2×C4×D3—62no—
311C2×C4×D3—91no—
312C2×C4×D3—92no—
313C2×C4×D3—92no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C3×C4⋊C4—91no—
318C3×C4⋊C4—91no—
319C3×C22⋊C4—91no—
320C3×C22⋊C4—92no—
321C3×C22⋊C4—91no—
322C3×C42—91no—
323#217—31no—
324#217—91no—
325#217—92no—
326#217—92no—
327#217—92no—
328#217—92no—
329(C2×D3)⋊C4—31no—
330(C2×D3)⋊C4—32no—
331(C2×D3)⋊C4—91no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4—92no—
336(C2×D3)⋊C4—92no—
337(C2×D3)⋊C4—92no—
338(C2×D3)⋊C4—92no—
339(C2×D3)⋊C4—92no—
340(C2×D3)⋊C4—92no—
341C4⋊Dic3—31no—
342C4⋊Dic3—91no—
343C4⋊Dic3—92no—
344Dic3⋊C4—31no—
345Dic3⋊C4—91no—
346Dic3⋊C4—92no—
347Dic3⋊C4—92no—
348C4×Dic3—31no—
349C4×Dic3—91no—
350C22×C32—22no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32—21no—
356C22×C32—21no—
357C22×C32—21no—
358C22×C32—41no—
359C22×C32—41no—
360C22×C32C23×D311yescharacteristic
361C22×C32C23×D311yescharacteristic
362C2×C3⋊D3—21no—
363C2×C3⋊D3—21no—
364C2×C3⋊D3—22no—
365C2×C3⋊D3—22no—
366C2×C3⋊D3—22no—
367C2×C3⋊D3#23512yescomplemented
368C2×C3×D3—34no—
369C2×C3×D3—34no—
370C2×C3×D3—32no—
371C2×C3×D3—64no—
372C2×C3×D3—62no—
373C2×C3×D3—61no—
374C2×C3×D3—61no—
375C2×C3×D3—62no—
376C2×C3×D3—62no—
377C2×C3×D3—62no—
378C2×C3×D3—62no—
379C2×C3×D3—62no—
380C2×C3×D3—62no—
381C2×C3×D3—122no—
382C2×C3×D3—122no—
383D32—128no—
384D32—128no—
385C32×C4—22no—
386C32×C4—21no—
387C32×C4—21no—
388C32×C4—22no—
389C32×C4D3×D412yes—
390C32×C4D3×D412yes—
391C3⋊Dic3—21no—
392C3⋊Dic3—21no—
393C3⋊Dic3—22no—
394C3⋊Dic3—21no—
395C3×Dic3—64no—
396C3×Dic3—61no—
397C3×Dic3—62no—
398C3×Dic3—62no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C3×Dic3—62no—
402C2×#41—91no—
403C22×D4—271no—
404#124—271no—
405#123—272no—
406C22⋊Q8—271no—
407#121—91no—
408#121—272no—
409#120—272no—
410C4×D4—91no—
411C4×D4—271no—
412C2×C22⋊C4—272no—
413H(3,𝔽3)#54611yescharacteristic, complemented, Sylow
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—61no—
417C23×C3—91no—
418C23×C3—92no—
419C23×C3—92no—
420C23×C3C2×D3211yescharacteristic
421C22×D3—32no—
422C22×D3—32no—
423C22×D3—31no—
424C22×D3—32no—
425C22×D3—62no—
426C22×D3—91no—
427C22×D3—92no—
428C22×D3—184no—
429C22×D3—184no—
430C22×D3—184no—
431C22×D3—184no—
432C22×D3—184no—
433C22×D3—184no—
434C22×D3—362no—
435C22×D3—362no—
436C22×D3—362no—
437C3×Q8—182no—
438C3×D4—94no—
439C3×D4—182no—
440C3×D4—184no—
441C3×D4—182no—
442C3×D4—362no—
443C2×C3×C4—22no—
444C2×C3×C4—31no—
445C2×C3×C4—31no—
446C2×C3×C4—31no—
447C2×C3×C4—31no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—64no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—91no—
454C2×C3×C4—92no—
455C2×C3×C4—91no—
456C2×C3×C4—91no—
457C2×C3×C4—92no—
458C2×C3×C4—184no—
459C2×C3×C4—182no—
460C2×C3×C4C2×D3211yescharacteristic
461C2×C3×C4C2×D3211yescharacteristic
462#67—62no—
463#67—64no—
464#67—64no—
465#67—68no—
466#67—122no—
467#67—182no—
468#67—184no—
469#67—184no—
470#67—362no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—31no—
474C2×Dic3—31no—
475C2×Dic3—31no—
476C2×Dic3—32no—
477C2×Dic3—62no—
478C2×Dic3—91no—
479C2×Dic3—91no—
480C2×Dic3—91no—
481C2×Dic3—92no—
482C2×Dic3—362no—
483D12—34no—
484D12—34no—
485D12—64no—
486D12—62no—
487D12—182no—
488D12—184no—
489C4×D3—64no—
490C4×D3—64no—
491C4×D3—68no—
492C4×D3—62no—
493C4×D3—182no—
494C4×D3—362no—
495C4×D3—362no—
496Dic6—62no—
497Dic6—62no—
498Dic6—64no—
499C2×C32—21no—
500C2×C32—21no—
501C2×C32—21no—
502C2×C32—42no—
503C2×C32—41no—
504C2×C32—41no—
505C2×C32C2×#23511yescharacteristic
506C2×C32C2×D3×D411yescharacteristic
507C2×C32C2×D3×D411yescharacteristic
508C2×C32#100411yescharacteristic
509C2×C32D3×#4111yescharacteristic
510C2×C32#100911yescharacteristic
511C3⋊D3—22no—
512C3⋊D3—42no—
513C3×D3—64no—
514C3×D3—62no—
515C3×D3—64no—
516C3×D3—124no—
517C3×D3—122no—
518C24—272no—
519#41—184no—
520C2×Q8—91no—
521C2×D4—91no—
522C2×D4—92no—
523C2×D4—92no—
524C2×D4—91no—
525C2×D4—91no—
526C2×D4—272no—
527C2×D4—544no—
528C22×C4—92no—
529C22×C4—91no—
530C22×C4—272no—
531C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
532C4⋊C4—91no—
533C4⋊C4—91no—
534C4⋊C4—272no—
535C22⋊C4—91no—
536C22⋊C4—91no—
537C22⋊C4—92no—
538C22⋊C4—272no—
539C22⋊C4—272no—
540C22⋊C4—272no—
541C22⋊C4—272no—
542C42—91no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—31no—
547C22×C3—31no—
548C22×C3—61no—
549C22×C3—61no—
550C22×C3—61no—
551C22×C3—61no—
552C22×C3—61no—
553C22×C3—61no—
554C22×C3—62no—
555C22×C3—61no—
556C22×C3—92no—
557C22×C3—94no—
558C22×C3—121no—
559C22×C3—121no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3—182no—
563C22×C3—182no—
564C22×C3—182no—
565C22×C3—182no—
566C22×C3—182no—
567C22×C3C22×D3211yescharacteristic
568C2×D3—34no—
569C2×D3—34no—
570C2×D3—32no—
571C2×D3—64no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—61no—
577C2×D3—61no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—92no—
582C2×D3—122no—
583C2×D3—122no—
584C2×D3—181no—
585C2×D3—181no—
586C2×D3—182no—
587C2×D3—182no—
588C2×D3—182no—
589C2×D3—368no—
590C2×D3—368no—
591C2×D3—368no—
592C3×C4—21no—
593C3×C4—32no—
594C3×C4—32no—
595C3×C4—61no—
596C3×C4—61no—
597C3×C4—62no—
598C3×C4—62no—
599C3×C4—181no—
600C3×C4—182no—
601C3×C4—181no—
602C3×C4—181no—
603C3×C4—182no—
604C3×C4#381112yes—
605Dic3—62no—
606Dic3—62no—
607Dic3—64no—
608Dic3—61no—
609Dic3—61no—
610Dic3—62no—
611Dic3—61no—
612Dic3—181no—
613Dic3—181no—
614Dic3—182no—
615Dic3—181no—
616C32—21no—
617C32#555011yescharacteristic, complemented
618C32#561211yescharacteristic, complemented
619C23—91no—
620C23—92no—
621C23—92no—
622C23—544no—
623C23—544no—
624C23—1082no—
625C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
626Q8—182no—
627D4—94no—
628D4—184no—
629D4—182no—
630D4—182no—
631D4—362no—
632D4—544no—
633C2×C4—22no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—92no—
637C2×C4—91no—
638C2×C4—92no—
639C2×C4—184no—
640C2×C4—182no—
641C2×C4—1082no—
642C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
643C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
644C2×C3—31no—
645C2×C3—31no—
646C2×C3—31no—
647C2×C3—31no—
648C2×C3—31no—
649C2×C3—31no—
650C2×C3—41no—
651C2×C3—61no—
652C2×C3—61no—
653C2×C3—61no—
654C2×C3—121no—
655C2×C3—121no—
656C2×C3—122no—
657C2×C3—182no—
658C2×C3—184no—
659C2×C3—362no—
660C2×C3D3×#23511yescharacteristic
661C2×C3#6430711yescharacteristic
662C2×C3C2×#381111yescharacteristic
663D3—64no—
664D3—64no—
665D3—62no—
666D3—124no—
667D3—122no—
668D3—182no—
669D3—362no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—94no—
674C22—92no—
675C22—181no—
676C22—182no—
677C22—182no—
678C22—181no—
679C22—182no—
680C22—182no—
681C22—182no—
682C22—1088no—
683C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
684C4—21no—
685C4—182no—
686C4—181no—
687C4—181no—
688C4—181no—
689C4—182no—
690C4#8867712yes—
691C3—31no—
692C3—31no—
693C3—61no—
694C3#1059507811yescharacteristic
695C2—41no—
696C2—182no—
697C2—184no—
698C2—362no—
699C2#1172249011yescharacteristic
700C2#1172249211yescharacteristic
701C2C2×#8867711yescharacteristic
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×#88740C2semidirect
2. C2×#88654C2semidirect
3. #64139⋊C3C2semidirect
4. C4×#638⋊C3C2semidirect
5. #11721324C2semidirect
6. #11721303C2semidirect
7. #11721161C2semidirect
8. #11721149C2semidirect
9. #11721110C2semidirect
10. #11721107C2semidirect
11. #11721104C2semidirect
15. C22×C4×H(3,𝔽3)C22semidirect
16. C2×#6235C22semidirect
19. C2×C4×#272C22semidirect
20. C2×#6229C22semidirect
22. C2×#638⋊C3C22semidirect
26. C2×#6199C22semidirect
28. #3757⋊C3C22semidirect
30. #3752⋊C3C22semidirect
31. C4⋊((C3⋊Dic3)⋊C3)C22semidirect
32. #3750⋊C3C22semidirect
33. C4×(C3⋊Dic3)⋊C3C22semidirect
34. #88451C22semidirect
36. #88450C22semidirect
37. #88450C22semidirect
38. #88448C22semidirect
44. #64139D3semidirect
45. C4×#638D3semidirect
74. C4⋊#272D4semidirect
93. C22×C32×C4C2×D3semidirect
94. C22×C32×C4C2×D3semidirect
96. C2×#638C2×D3semidirect
124. #3757C2×D3semidirect
126. #3752C2×D3semidirect
127. C4⋊(C3⋊Dic3)C2×D3semidirect
128. #3750C2×D3semidirect
129. C4×C3⋊Dic3C2×D3semidirect
158. C2×(C3⋊D3)⋊C3#41semidirect
367. C2×C3⋊D3#235semidirect
413. H(3,𝔽3)#546semidirect
531. C22×C4((C3⋊D3)⋊C3)⋊C2semidirect
617. C32#5550semidirect
618. C32#5612semidirect

Maximal subgroups

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

subgroupindex
C2×#887402
C2×#886542
#64139⋊C32
C4×#638⋊C32
#117213242
#117213032
#117211612
#117211492
#117211102
#117211072
#117211042
#105950703
#105950673