Finite Group Databasebeta

← #13181621

Subgroups — #13181621

Order 1728.

5516 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89078C211yesmaximal, characteristic, complemented
2C3×#64361C211yesmaximal, characteristic, complemented
3C32×#1004C211yesmaximal, characteristic, complemented
4#11724611C214yesmaximal, complemented
5C2×#89029C214yesmaximal, complemented
6#11724587C214yesmaximal, complemented
7C3⋊D3×#237C214yesmaximal, complemented
8D3×#3830C214yesmaximal, complemented
9#11724582C214yesmaximal, complemented
10#11724578C212yesmaximal, complemented
11#11724563C212yesmaximal, complemented
12#10596758—31nomaximal
13#10596679—34nomaximal
14C2×C33×D4C2211yescharacteristic, complemented
15C2×#6312C2212yescomplemented
16C22×C3⋊(C3⋊Dic3)C2212yescomplemented
17#89078C2214yescomplemented
18#89078C2214yescomplemented
19C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
20C2×#6308C2211yescharacteristic, complemented
21C2×C3×#638C2214yescomplemented
22C3×#3830C2214yescomplemented
23C3×D4×C3⋊D3C2214yescomplemented
24C3×#3828C2212yescomplemented
25C2×C32×#67C2214yescomplemented
26C32×#237C2214yescomplemented
27C32×D3×D4C2214yescomplemented
28C32×#235C2212yescomplemented
29#89039C2214yescomplemented
30C3⋊D3×#67C2218yescomplemented
31D3×#638C2218yescomplemented
32C2×#6293C2214yescomplemented
33C2×#6290C2214yescomplemented
34#89031C2218yescomplemented
35C2×Dic3×C3⋊D3C2214yescomplemented
36#89029C2218yescomplemented
37#89029C2214yescomplemented
38#89029C2218yescomplemented
39#89029C2218yescomplemented
40#89028C2218yescomplemented
41C2×D3×C3⋊Dic3C2214yescomplemented
42#89026C2212yescomplemented
43C4×D3×C3⋊D3C2214yescomplemented
44#89021C2214yescomplemented
45#89020C2214yescomplemented
46#89019C2212yescomplemented
47#89017C2212yescomplemented
48C3⋊D3×Dic6C2214yescomplemented
49#89015C2212yescomplemented
50#89014C2214yescomplemented
51D3×#634C2214yescomplemented
52C32×H(5,𝔽2)—31no—
53#64367—34no—
54#64367—32no—
55#41×C3⋊D3—34no—
56#41×C3⋊D3—32no—
57#64361—34no—
58#64361—34no—
59#64361D311yescharacteristic, complemented
60C2×#3830—31no—
61C2×#3830—34no—
62C2×#3830—34no—
63C2×#3830—34no—
64C2×#3830—64no—
65C3×#1004—34no—
66C3×#1004D314yescomplemented
67#64330—316no—
68C2×#3805—316no—
69#64313—316no—
70D3×#237—316no—
71D3×#237—316no—
72#64309—316no—
73#64306—38no—
74#64298—38no—
75C23×C33C2312yes—
76C22×C3⋊(C3⋊D3)C2311yescharacteristic
77C22×C3×C3⋊D3C2314yes—
78C22×C32×D3C2314yes—
79C2×D3×C3⋊D3C2314yes—
80C33×D4C2314yes—
81C2×C33×C4C2311yescharacteristic
82#6312C2318yes—
83C2×C3⋊(C3⋊Dic3)C2314yes—
84C2×C3⋊(C3⋊Dic3)C2312yes—
85C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
86C2×C3⋊(C3⋊Dic3)C2314yes—
87C4×C3⋊(C3⋊D3)C2312yes—
88C4×C3⋊(C3⋊D3)C2312yes—
89#6308C2314yes—
90C3×#638C2314yes—
91C3×#638C2318yes—
92C2×C3×C3⋊Dic3C2314yes—
93C3×C4⋊(C3⋊D3)C2312yes—
94C3×C4×C3⋊D3C2314yes—
95C3×#634C2312yes—
96C32×#67C2318yes—
97C32×#67C2314yes—
98C2×C32×Dic3C2314yes—
99C32×D12C2312yes—
100C32×C4×D3C2314yes—
101C32×Dic6C2312yes—
102#6293C2318yes—
103#6293C2314yes—
104#6292C2314yes—
105#6291C2314yes—
106#6290C2318yes—
107#6290C2314yes—
108#6289C2314yes—
109Dic3×C3⋊D3C2318yes—
110Dic3×C3⋊D3C2314yes—
111D3×C3⋊Dic3C2318yes—
112D3×C3⋊Dic3C2314yes—
113#5966—94no—
114#5966—91no—
115C32×#41—34no—
116C32×#41—32no—
117C2×C32×D4—24no—
118C2×C32×D4—34no—
119C2×C32×D4—34no—
120C2×C32×D4C2×D314yescomplemented
121C2×C32×D4C2×D311yescharacteristic, complemented
122C2×#638—32no—
123C2×#638—38no—
124C2×#638—34no—
125C2×#638—38no—
126C2×#638—68no—
127C2×#638C2×D314yescomplemented
128C22×C3⋊Dic3—32no—
129C22×C3⋊Dic3—38no—
130C22×C3⋊Dic3—34no—
131C22×C3⋊Dic3—68no—
132#3832—32no—
133Q8×C3⋊D3—34no—
134Q8×C3⋊D3—32no—
135#3830—34no—
136#3830—34no—
137#3830—316no—
138#3830—316no—
139#3830—38no—
140#3830—34no—
141#3830—38no—
142#3830—38no—
143#3830—38no—
144#3830—34no—
145#3830—32no—
146#3830—616no—
147#3830—616no—
148#3830C2×D314yescomplemented
149D4×C3⋊D3—38no—
150D4×C3⋊D3—34no—
151D4×C3⋊D3—32no—
152D4×C3⋊D3C2×D314yescomplemented
153#3828—38no—
154#3828—34no—
155#3828—34no—
156#3828C2×D312yescomplemented
157C2×C4×C3⋊D3—34no—
158C2×C4×C3⋊D3—31no—
159C2×C4×C3⋊D3—34no—
160C2×C4×C3⋊D3—34no—
161C2×C4×C3⋊D3—64no—
162C2×#634—31no—
163C2×#634—34no—
164C2×#634—34no—
165C2×#634—34no—
166C2×#634—64no—
167C2×C3×#67—316no—
168C2×C3×#67C2×D3116yescomplemented
169C3×#237—316no—
170C3×#237C2×D3116yescomplemented
171C3×D3×D4—316no—
172C3×D3×D4C2×D3116yescomplemented
173C3×#235—38no—
174C3×#235C2×D318yescomplemented
175#3811—316no—
176D3×#67—332no—
177D3×#67—332no—
178C2×#627—316no—
179C2×#625—316no—
180#3805—332no—
181#3805—316no—
182#3805—332no—
183#3805—332no—
184#3804—332no—
185#3804—332no—
186C2×D3×Dic3—316no—
187C2×D3×Dic3—316no—
188#3802—38no—
189C4×D32—316no—
190#3798—316no—
191#3797—38no—
192#3796—38no—
193#3796—38no—
194#3795—316no—
195#3795—316no—
196D3×Dic6—316no—
197D3×Dic6—316no—
198C22×C33—42no—
199C22×C33C2414yes—
200C22×C33C2411yescharacteristic
201C2×C3⋊(C3⋊D3)—41no—
202C2×C3⋊(C3⋊D3)C2412yes—
203C2×C3×C3⋊D3—44no—
204C2×C3×C3⋊D3C2414yes—
205C2×C32×D3—44no—
206C2×C32×D3C2414yes—
207D3×C3⋊D3—44no—
208C33×C4C2412yes—
209C3⋊(C3⋊Dic3)C2411yescharacteristic
210C3⋊(C3⋊Dic3)C2414yes—
211C3⋊(C3⋊Dic3)C2411yescharacteristic
212C3×C3⋊Dic3C2414yes—
213C32×Dic3C2414yes—
214C3×H(5,𝔽2)—34no—
215C3×H(5,𝔽2)—91no—
216#1010—98no—
217#1010—916no—
218#1010—94no—
219#1010—92no—
220D3×#41—98no—
221D3×#41—916no—
222D3×#41—94no—
223D3×#41—92no—
224#1004—34no—
225#1004—916no—
226#1004—916no—
227#1004—94no—
228#1004—94no—
229#1004C3⋊D311yescharacteristic, complemented
230C2×#237—916no—
231C2×#237—916no—
232C2×#237—94no—
233C2×#237—91no—
234C2×#237—94no—
235C2×#237—94no—
236C2×#237—184no—
237C23×C32—28no—
238C23×C32—34no—
239C23×C32C22×D318yes—
240C23×C32C22×D312yes—
241C22×C3⋊D3—31no—
242C22×C3⋊D3—34no—
243C22×C3⋊D3—34no—
244C22×C3⋊D3—64no—
245C22×C3⋊D3C22×D314yes—
246C22×C3×D3—316no—
247C22×C3×D3C22×D3116yes—
248C2×D32—316no—
249C32×Q8—32no—
250C32×D4—216no—
251C32×D4—34no—
252C32×D4—38no—
253C32×D4—32no—
254C32×D4C22×D3116yes—
255C32×D4C22×D314yes—
256C2×C32×C4—24no—
257C2×C32×C4—34no—
258C2×C32×C4—34no—
259C2×C32×C4C22×D314yes—
260C2×C32×C4C22×D311yescharacteristic
261#638—38no—
262#638—38no—
263#638—34no—
264#638—34no—
265#638—332no—
266#638—632no—
267#638C22×D318yes—
268#638C22×D314yes—
269C2×C3⋊Dic3—32no—
270C2×C3⋊Dic3—34no—
271C2×C3⋊Dic3—31no—
272C2×C3⋊Dic3—34no—
273C2×C3⋊Dic3—38no—
274C2×C3⋊Dic3—34no—
275C2×C3⋊Dic3—316no—
276C2×C3⋊Dic3—38no—
277C2×C3⋊Dic3—34no—
278C2×C3⋊Dic3—316no—
279C2×C3⋊Dic3—68no—
280C2×C3⋊Dic3—64no—
281C2×C3⋊Dic3—616no—
282C2×C3⋊Dic3—616no—
283C2×C3⋊Dic3C22×D314yes—
284C4⋊(C3⋊D3)—34no—
285C4⋊(C3⋊D3)C22×D312yes—
286C4×C3⋊D3—34no—
287C4×C3⋊D3—38no—
288C4×C3⋊D3—32no—
289C4×C3⋊D3—32no—
290C4×C3⋊D3—34no—
291C4×C3⋊D3—38no—
292C4×C3⋊D3—38no—
293C4×C3⋊D3—68no—
294C4×C3⋊D3—68no—
295C4×C3⋊D3C22×D314yes—
296#634—34no—
297#634—38no—
298#634—34no—
299#634—316no—
300#634—616no—
301#634C22×D312yes—
302C3×#67—332no—
303C3×#67—316no—
304C3×#67C22×D3132yes—
305C3×#67C22×D3116yes—
306C2×C3×Dic3—316no—
307C2×C3×Dic3C22×D3116yes—
308C3×D12—38no—
309C3×D12C22×D318yes—
310C3×C4×D3—316no—
311C3×C4×D3C22×D3116yes—
312C3×Dic6—38no—
313C3×Dic6C22×D318yes—
314#627—332no—
315#627—316no—
316#626—316no—
317#626—316no—
318#625—332no—
319#625—316no—
320#624—316no—
321D3×Dic3—332no—
322D3×Dic3—316no—
323D3×Dic3—332no—
324D3×Dic3—316no—
325#585—271noSylow
326C2×C33—21no—
327C2×C33—24no—
328C2×C33C2511yescharacteristic
329C3⋊(C3⋊D3)—22no—
330C3×C3⋊D3—24no—
331C32×D3—24no—
332C3×#41—316no—
333C3×#41—38no—
334C3×#41—94no—
335C3×#41—92no—
336C2×C3×D4—24no—
337C2×C3×D4—316no—
338C2×C3×D4—316no—
339C2×C3×D4—94no—
340C2×C3×D4—94no—
341C2×C3×D4D3214yescomplemented
342C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
343C2×#67—316no—
344C2×#67—932no—
345C2×#67—916no—
346C2×#67—98no—
347C2×#67—92no—
348C2×#67—94no—
349C2×#67—98no—
350C2×#67—188no—
351C2×#67C2×C3⋊D314yescomplemented
352C22×Dic3—916no—
353C22×Dic3—98no—
354C22×Dic3—92no—
355C22×Dic3—94no—
356C22×Dic3—188no—
357#239—98no—
358#239—92no—
359D3×Q8—98no—
360D3×Q8—916no—
361D3×Q8—94no—
362D3×Q8—92no—
363#237—316no—
364#237—98no—
365#237—916no—
366#237—932no—
367#237—916no—
368#237—932no—
369#237—932no—
370#237—932no—
371#237—916no—
372#237—916no—
373#237—94no—
374#237—94no—
375#237—98no—
376#237—94no—
377#237—98no—
378#237—98no—
379#237—98no—
380#237—94no—
381#237—92no—
382#237—1816no—
383#237—1816no—
384#237C2×C3⋊D314yescomplemented
385D3×D4—316no—
386D3×D4—98no—
387D3×D4—916no—
388D3×D4—932no—
389D3×D4—98no—
390D3×D4—94no—
391D3×D4—92no—
392D3×D4C2×C3⋊D314yescomplemented
393#235—38no—
394#235—916no—
395#235—916no—
396#235—932no—
397#235—98no—
398#235—94no—
399#235—94no—
400#235C2×C3⋊D312yescomplemented
401C2×C4×D3—916no—
402C2×C4×D3—916no—
403C2×C4×D3—94no—
404C2×C4×D3—94no—
405C2×C4×D3—91no—
406C2×C4×D3—94no—
407C2×C4×D3—184no—
408C2×Dic6—916no—
409C2×Dic6—916no—
410C2×Dic6—94no—
411C2×Dic6—91no—
412C2×Dic6—94no—
413C2×Dic6—94no—
414C2×Dic6—184no—
415C22×C32—24no—
416C22×C32—216no—
417C22×C32—34no—
418C22×C32—42no—
419C22×C32—48no—
420C22×C32—416no—
421C22×C32—124no—
422C22×C32C23×D3116yes—
423C22×C32C23×D314yes—
424C22×C32C23×D311yescharacteristic
425C22×C32C23×D314yes—
426C2×C3⋊D3—32no—
427C2×C3⋊D3—38no—
428C2×C3⋊D3—44no—
429C2×C3⋊D3—68no—
430C2×C3⋊D3—124no—
431C2×C3⋊D3—121no—
432C2×C3⋊D3—124no—
433C2×C3⋊D3—128no—
434C2×C3⋊D3C23×D314yes—
435C2×C3×D3—316no—
436C2×C3×D3—416no—
437C2×C3×D3—1216no—
438C2×C3×D3C23×D3116yes—
439D32—1216no—
440C32×C4—28no—
441C32×C4—34no—
442C32×C4C23×D318yes—
443C32×C4C23×D312yes—
444C3⋊Dic3—34no—
445C3⋊Dic3—31no—
446C3⋊Dic3—31no—
447C3⋊Dic3—34no—
448C3⋊Dic3—316no—
449C3⋊Dic3—34no—
450C3⋊Dic3—616no—
451C3⋊Dic3—64no—
452C3⋊Dic3—64no—
453C3⋊Dic3C23×D314yes—
454C3×Dic3—316no—
455C3×Dic3C23×D3116yes—
4562−1+4—274no—
4572−1+4—272no—
458H(5,𝔽2)—31no—
459H(5,𝔽2)—91no—
460H(5,𝔽2)—274no—
461H(5,𝔽2)—274no—
462C2×#41—274no—
463C2×#41—274no—
464C2×#41—274no—
465C2×#41—272no—
466C2×#41—271no—
467C33#58511yescharacteristic, complemented, Sylow
468C23×C3—28no—
469C23×C3—316no—
470C23×C3—94no—
471C23×C3C2×D3218yes—
472C23×C3C22×C3⋊D312yes—
473C22×D3—316no—
474C22×D3—916no—
475C22×D3—94no—
476C22×D3—91no—
477C22×D3—94no—
478C22×D3—184no—
479C22×D3C22×C3⋊D314yes—
480C3×Q8—38no—
481C3×Q8—92no—
482C3×D4—216no—
483C3×D4—332no—
484C3×D4—316no—
485C3×D4—38no—
486C3×D4—94no—
487C3×D4—98no—
488C3×D4—92no—
489C3×D4C2×D32116yes—
490C3×D4C22×C3⋊D314yes—
491C2×C3×C4—24no—
492C2×C3×C4—316no—
493C2×C3×C4—316no—
494C2×C3×C4—94no—
495C2×C3×C4—94no—
496C2×C3×C4C2×D3214yes—
497C2×C3×C4C22×C3⋊D311yescharacteristic
498#67—316no—
499#67—332no—
500#67—916no—
501#67—932no—
502#67—916no—
503#67—932no—
504#67—98no—
505#67—98no—
506#67—94no—
507#67—94no—
508#67—1832no—
509#67C22×C3⋊D318yes—
510#67C22×C3⋊D314yes—
511C2×Dic3—316no—
512C2×Dic3—932no—
513C2×Dic3—916no—
514C2×Dic3—916no—
515C2×Dic3—98no—
516C2×Dic3—916no—
517C2×Dic3—94no—
518C2×Dic3—92no—
519C2×Dic3—94no—
520C2×Dic3—91no—
521C2×Dic3—94no—
522C2×Dic3—98no—
523C2×Dic3—94no—
524C2×Dic3—188no—
525C2×Dic3—184no—
526C2×Dic3—1816no—
527C2×Dic3—1816no—
528C2×Dic3C22×C3⋊D314yes—
529D12—38no—
530D12—916no—
531D12—94no—
532D12C22×C3⋊D312yes—
533C4×D3—316no—
534C4×D3—916no—
535C4×D3—916no—
536C4×D3—932no—
537C4×D3—94no—
538C4×D3—98no—
539C4×D3—98no—
540C4×D3—98no—
541C4×D3—92no—
542C4×D3—92no—
543C4×D3—94no—
544C4×D3—188no—
545C4×D3—188no—
546C4×D3C22×C3⋊D314yes—
547Dic6—38no—
548Dic6—932no—
549Dic6—916no—
550Dic6—916no—
551Dic6—94no—
552Dic6—98no—
553Dic6—94no—
554Dic6—1816no—
555Dic6C22×C3⋊D312yes—
556C2×C32—28no—
557C2×C32—24no—
558C2×C32—24no—
559C2×C32—21no—
560C2×C32—24no—
561C2×C32—216no—
562C2×C32—416no—
563C2×C32—64no—
564C2×C32C24×D314yes—
565C2×C32C24×D311yescharacteristic
566C3⋊D3—24no—
567C3⋊D3—62no—
568C3⋊D3—68no—
569C3⋊D3—128no—
570C3×D3—216no—
571C3×D3—616no—
572#41—34no—
573#41—32no—
574#41—94no—
575#41—92no—
576#41—274no—
577#41—278no—
578#41—274no—
579#41—278no—
580#41—274no—
581#41—274no—
582#41—278no—
583#41—278no—
584#41—278no—
585#41—272no—
586#41—272no—
587#41—274no—
588#41—274no—
589C2×Q8—274no—
590C2×Q8—274no—
591C2×Q8—274no—
592C2×Q8—272no—
593C2×Q8—271no—
594C2×D4—34no—
595C2×D4—34no—
596C2×D4—94no—
597C2×D4—94no—
598C2×D4—274no—
599C2×D4—272no—
600C2×D4—278no—
601C2×D4—278no—
602C2×D4—274no—
603C2×D4—272no—
604C2×D4D3×C3⋊D311yescharacteristic, complemented
605C22×C4—274no—
606C22×C4—274no—
607C22×C4—274no—
608C22×C4—272no—
609C22×C4—271no—
610C22×C3—24no—
611C22×C3—216no—
612C22×C3—316no—
613C22×C3—48no—
614C22×C3—42no—
615C22×C3—416no—
616C22×C3—94no—
617C22×C3—1216no—
618C22×C3—364no—
619C22×C3C22×D32116yes—
620C22×C3C22×D3214yes—
621C22×C3C23×C3⋊D311yescharacteristic
622C22×C3C23×C3⋊D314yes—
623C2×D3—316no—
624C2×D3—44no—
625C2×D3—98no—
626C2×D3—92no—
627C2×D3—1216no—
628C2×D3—188no—
629C2×D3—364no—
630C2×D3—3616no—
631C2×D3—364no—
632C2×D3—361no—
633C2×D3—368no—
634C2×D3C23×C3⋊D314yes—
635C3×C4—28no—
636C3×C4—316no—
637C3×C4—94no—
638C3×C4C22×D3218yes—
639C3×C4C23×C3⋊D312yes—
640Dic3—316no—
641Dic3—94no—
642Dic3—916no—
643Dic3—94no—
644Dic3—94no—
645Dic3—91no—
646Dic3—91no—
647Dic3—1816no—
648Dic3—184no—
649Dic3—184no—
650Dic3C23×C3⋊D314yes—
651C32—24no—
652C32#596614yescomplemented
653C32#596611yescharacteristic, complemented
654C23—34no—
655C23—94no—
656C23—274no—
657C23—271no—
658C23C2×D3×C3⋊D312yes—
659Q8—32no—
660Q8—92no—
661Q8—274no—
662Q8—278no—
663Q8—274no—
664D4—38no—
665D4—34no—
666D4—32no—
667D4—98no—
668D4—94no—
669D4—92no—
670D4—274no—
671D4—274no—
672D4—274no—
673D4—278no—
674D4—278no—
675D4C2×D3×C3⋊D314yes—
676C2×C4—34no—
677C2×C4—34no—
678C2×C4—94no—
679C2×C4—94no—
680C2×C4—274no—
681C2×C4—274no—
682C2×C4—278no—
683C2×C4—274no—
684C2×C4—278no—
685C2×C4—274no—
686C2×C4—271no—
687C2×C4—274no—
688C2×C4—272no—
689C2×C4—272no—
690C2×C4—272no—
691C2×C4C2×D3×C3⋊D311yescharacteristic
692C2×C3—28no—
693C2×C3—216no—
694C2×C3—24no—
695C2×C3—24no—
696C2×C3—21no—
697C2×C3—24no—
698C2×C3—416no—
699C2×C3—616no—
700C2×C3—184no—
701C2×C3C23×D3214yes—
702C2×C3C24×C3⋊D311yescharacteristic
703D3—24no—
704D3—616no—
705D3—188no—
706D3—182no—
707D3—368no—
708C22—34no—
709C22—42no—
710C22—94no—
711C22—124no—
712C22—272no—
713C22—364no—
714C22—1081no—
715C22—1084no—
716C22C22×D3×C3⋊D314yes—
717C22C22×D3×C3⋊D311yescharacteristic
718C4—34no—
719C4—94no—
720C4—271no—
721C4—274no—
722C4—271no—
723C4C22×D3×C3⋊D312yes—
724C3—24no—
725C3#1059667914yescomplemented
726C3#1059675811yescharacteristic, complemented
727C2—21no—
728C2—24no—
729C2—64no—
730C2—184no—
731C2—542no—
732C2C23×D3×C3⋊D311yescharacteristic
subgroupG/H
center, FrattiniC2C23×D3×C3⋊D3
commutator, socle, cosocleC2×C33C25
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33#585
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×#89078C2semidirect
2. C3×#64361C2semidirect
3. C32×#1004C2semidirect
4. #11724611C2semidirect
5. C2×#89029C2semidirect
6. #11724587C2semidirect
7. C3⋊D3×#237C2semidirect
8. D3×#3830C2semidirect
9. #11724582C2semidirect
10. #11724578C2semidirect
11. #11724563C2semidirect
14. C2×C33×D4C22semidirect
15. C2×#6312C22semidirect
16. C22×C3⋊(C3⋊Dic3)C22semidirect
17. #89078C22semidirect
18. #89078C22semidirect
19. C2×C4×C3⋊(C3⋊D3)C22semidirect
20. C2×#6308C22semidirect
21. C2×C3×#638C22semidirect
22. C3×#3830C22semidirect
23. C3×D4×C3⋊D3C22semidirect
24. C3×#3828C22semidirect
25. C2×C32×#67C22semidirect
26. C32×#237C22semidirect
27. C32×D3×D4C22semidirect
28. C32×#235C22semidirect
29. #89039C22semidirect
30. C3⋊D3×#67C22semidirect
31. D3×#638C22semidirect
32. C2×#6293C22semidirect
33. C2×#6290C22semidirect
34. #89031C22semidirect
35. C2×Dic3×C3⋊D3C22semidirect
36. #89029C22semidirect
37. #89029C22semidirect
38. #89029C22semidirect
39. #89029C22semidirect
40. #89028C22semidirect
41. C2×D3×C3⋊Dic3C22semidirect
42. #89026C22semidirect
43. C4×D3×C3⋊D3C22semidirect
44. #89021C22semidirect
45. #89020C22semidirect
46. #89019C22semidirect
47. #89017C22semidirect
48. C3⋊D3×Dic6C22semidirect
49. #89015C22semidirect
50. #89014C22semidirect
51. D3×#634C22semidirect
59. #64361D3semidirect
66. C3×#1004D3semidirect
120. C2×C32×D4C2×D3semidirect
121. C2×C32×D4C2×D3semidirect
127. C2×#638C2×D3semidirect
148. #3830C2×D3semidirect
152. D4×C3⋊D3C2×D3semidirect
156. #3828C2×D3semidirect
168. C2×C3×#67C2×D3semidirect
170. C3×#237C2×D3semidirect
172. C3×D3×D4C2×D3semidirect
174. C3×#235C2×D3semidirect
229. #1004C3⋊D3semidirect
341. C2×C3×D4D32semidirect
342. C2×C3×D4C2×C3⋊D3semidirect
351. C2×#67C2×C3⋊D3semidirect
384. #237C2×C3⋊D3semidirect
392. D3×D4C2×C3⋊D3semidirect
400. #235C2×C3⋊D3semidirect
467. C33#585semidirect
604. C2×D4D3×C3⋊D3semidirect
652. C32#5966semidirect
653. C32#5966semidirect
725. C3#10596679semidirect
726. C3#10596758semidirect

Maximal subgroups

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

subgroupindex
C2×#890782
C3×#643612
C32×#10042
#117246112
C2×#890292
#117245872
C3⋊D3×#2372
D3×#38302
#117245822
#117245782
#117245632
#105967583
#105966793