Finite Group Databasebeta

← #13181619

Subgroups — #13181619

Order 1728.

5524 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11724679C211yesmaximal, characteristic, complemented
2C2×C3×#3830C211yesmaximal, characteristic, complemented
3C32×#1004C211yesmaximal, characteristic, complemented
4#11724611C214yesmaximal, complemented
5C2×#89028C214yesmaximal, complemented
6#11724588C214yesmaximal, complemented
7#11724586C214yesmaximal, complemented
8D3×#3830C214yesmaximal, complemented
9#11724582C214yesmaximal, complemented
10C3⋊D3×#235C212yesmaximal, complemented
11#11724562C212yesmaximal, complemented
12#10596758—31nomaximal
13#10596678—34nomaximal
14C2×C33×D4C2211yescharacteristic, complemented
15C2×#6312C2214yescomplemented
16#89078C2214yescomplemented
17D4×C3⋊(C3⋊D3)C2214yescomplemented
18#89076C2212yescomplemented
19C2×C3×#638C2212yescomplemented
20C22×C3×C3⋊Dic3C2212yescomplemented
21C3×#3830C2214yescomplemented
22C3×#3830C2214yescomplemented
23C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
24C2×C3×#634C2211yescharacteristic, complemented
25C2×C32×#67C2214yescomplemented
26C32×#237C2214yescomplemented
27C32×D3×D4C2214yescomplemented
28C32×#235C2212yescomplemented
29#89039C2218yescomplemented
30C3⋊D3×#67C2214yescomplemented
31D3×#638C2218yescomplemented
32C2×#6293C2214yescomplemented
33C2×#6291C2214yescomplemented
34C2×#6289C2214yescomplemented
35#89031C2218yescomplemented
36#89029C2218yescomplemented
37#89028C2218yescomplemented
38#89028C2214yescomplemented
39#89028C2218yescomplemented
40#89028C2218yescomplemented
41C2×D3×C3⋊Dic3C2214yescomplemented
42C3⋊D3×D12C2212yescomplemented
43C4×D3×C3⋊D3C2214yescomplemented
44#89022C2214yescomplemented
45#89020C2214yescomplemented
46#89019C2214yescomplemented
47#89018C2212yescomplemented
48C3⋊D3×Dic6C2212yescomplemented
49#89015C2214yescomplemented
50#89014C2212yescomplemented
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—31no—
58#64361—34no—
59#64361—34no—
60#64361—34no—
61#64361—64no—
62C2×#3830—34no—
63C2×#3830—34no—
64C2×#3830D311yescharacteristic, complemented
65C3×#1004D314yescomplemented
66C2×C3×#237—34no—
67#64330—316no—
68C2×#3804—316no—
69#64314—316no—
70#64312—316no—
71D3×#237—316no—
72#64309—316no—
73D3×#235—38no—
74#64297—38no—
75C23×C33C2312yes—
76C22×C3⋊(C3⋊D3)C2314yes—
77C22×C3×C3⋊D3C2311yescharacteristic
78C22×C32×D3C2314yes—
79C2×D3×C3⋊D3C2314yes—
80C33×D4C2314yes—
81C2×C33×C4C2311yescharacteristic
82#6312C2314yes—
83#6312C2318yes—
84C2×C3⋊(C3⋊Dic3)C2314yes—
85C4⋊(C3⋊(C3⋊D3))C2312yes—
86C4×C3⋊(C3⋊D3)C2314yes—
87#6308C2312yes—
88C3×#638C2318yes—
89C2×C3×C3⋊Dic3C2314yes—
90C2×C3×C3⋊Dic3C2312yes—
91C2×C3×C3⋊Dic3C2311yescharacteristic
92C2×C3×C3⋊Dic3C2314yes—
93C3×C4×C3⋊D3C2312yes—
94C3×C4×C3⋊D3C2312yes—
95C3×#634C2314yes—
96C32×#67C2314yes—
97C32×#67C2318yes—
98C2×C32×Dic3C2314yes—
99C32×D12C2312yes—
100C32×C4×D3C2314yes—
101C32×Dic6C2312yes—
102#6293C2318yes—
103#6293C2314yes—
104#6292C2314yes—
105#6291C2318yes—
106#6291C2314yes—
107#6290C2314yes—
108#6289C2314yes—
109#6289C2318yes—
110Dic3×C3⋊D3C2314yes—
111D3×C3⋊Dic3C2318yes—
112D3×C3⋊Dic3C2314yes—
113#5966—94no—
114#5964—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—34no—
123C2×#638—316no—
124C2×#638—38no—
125C2×#638—34no—
126C2×#638—616no—
127C2×#638C2×D312yescomplemented
128C22×C3⋊Dic3—34no—
129C22×C3⋊Dic3C2×D312yescomplemented
130#3832—32no—
131Q8×C3⋊D3—32no—
132Q8×C3⋊D3—34no—
133#3830—34no—
134#3830—316no—
135#3830—38no—
136#3830—38no—
137#3830—34no—
138#3830—38no—
139#3830—38no—
140#3830—32no—
141#3830—34no—
142#3830—616no—
143#3830C2×D314yescomplemented
144#3830C2×D314yescomplemented
145D4×C3⋊D3—34no—
146D4×C3⋊D3—34no—
147D4×C3⋊D3—316no—
148D4×C3⋊D3—38no—
149D4×C3⋊D3—32no—
150D4×C3⋊D3—616no—
151#3828—32no—
152#3828—38no—
153#3828—38no—
154#3828—34no—
155#3828—34no—
156#3828—68no—
157C2×C4×C3⋊D3—34no—
158C2×C4×C3⋊D3—34no—
159C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
160C2×#634—34no—
161C2×#634—34no—
162C2×#634C2×D311yescharacteristic, complemented
163C2×C3×#67—38no—
164C2×C3×#67C2×D3116yescomplemented
165C22×C3×Dic3—38no—
166C3×#237—316no—
167C3×#237—316no—
168C3×#237C2×D3116yescomplemented
169C3×D3×D4C2×D3116yescomplemented
170C3×#235C2×D318yescomplemented
171C2×C3×C4×D3—34no—
172C2×C3×Dic6—34no—
173#3811—332no—
174D3×#67—332no—
175D3×#67—316no—
176C2×#627—316no—
177C2×#626—316no—
178C2×#624—316no—
179#3805—332no—
180#3804—332no—
181#3804—316no—
182#3804—332no—
183#3804—332no—
184#3804—332no—
185C2×D3×Dic3—316no—
186D3×D12—38no—
187C4×D32—316no—
188#3799—316no—
189#3799—38no—
190#3798—316no—
191#3797—316no—
192#3796—316no—
193#3795—38no—
194D3×Dic6—316no—
195D3×Dic6—38no—
196C22×C33—42no—
197C22×C33C2414yes—
198C22×C33C2411yescharacteristic
199C2×C3⋊(C3⋊D3)—44no—
200C2×C3⋊(C3⋊D3)C2414yes—
201C2×C3×C3⋊D3—41no—
202C2×C3×C3⋊D3C2412yes—
203C2×C32×D3—44no—
204C2×C32×D3C2414yes—
205D3×C3⋊D3—44no—
206C33×C4C2412yes—
207C3⋊(C3⋊Dic3)C2414yes—
208C3×C3⋊Dic3C2411yescharacteristic
209C3×C3⋊Dic3C2414yes—
210C3×C3⋊Dic3C2411yescharacteristic
211C32×Dic3C2414yes—
212C3×H(5,𝔽2)—34no—
213C2×C3×#41—91no—
214#1010—98no—
215#1010—916no—
216#1010—94no—
217#1009—94no—
218D3×#41—98no—
219D3×#41—916no—
220D3×#41—94no—
221D3×#41—94no—
222#1007—92no—
223#1004—916no—
224#1004—916no—
225#1004—94no—
226#1004—91no—
227#1004—94no—
228#1004—184no—
229#1004C3⋊D311yescharacteristic, complemented
230C2×#237—34no—
231C2×#237—916no—
232C2×#237—916no—
233C2×#235—94no—
234C2×#235—92no—
235C23×C32—28no—
236C23×C32—34no—
237C23×C32C22×D318yes—
238C23×C32C22×D312yes—
239C22×C3⋊D3—34no—
240C22×C3⋊D3—34no—
241C22×C3⋊D3—316no—
242C22×C3⋊D3—616no—
243C22×C3⋊D3C22×D311yescharacteristic
244C22×C3×D3—34no—
245C22×C3×D3C22×D3116yes—
246C2×D32—316no—
247C32×Q8—32no—
248C32×D4—216no—
249C32×D4—38no—
250C32×D4—34no—
251C32×D4—32no—
252C32×D4C22×D3116yes—
253C32×D4C22×D314yes—
254C2×C32×C4—24no—
255C2×C32×C4—34no—
256C2×C32×C4—34no—
257C2×C32×C4C22×D314yes—
258C2×C32×C4C22×D311yescharacteristic
259#638—38no—
260#638—34no—
261#638—34no—
262#638—34no—
263#638—38no—
264#638—316no—
265#638—332no—
266#638—616no—
267#638—632no—
268#638C22×D318yes—
269C2×C3⋊Dic3—34no—
270C2×C3⋊Dic3—38no—
271C2×C3⋊Dic3—34no—
272C2×C3⋊Dic3—316no—
273C2×C3⋊Dic3—616no—
274C2×C3⋊Dic3C22×D314yes—
275C2×C3⋊Dic3C22×D312yes—
276C2×C3⋊Dic3C22×D314yes—
277C2×C3⋊Dic3C22×D311yescharacteristic
278C4⋊(C3⋊D3)—34no—
279C4⋊(C3⋊D3)—32no—
280C4⋊(C3⋊D3)—38no—
281C4⋊(C3⋊D3)—68no—
282C4×C3⋊D3—34no—
283C4×C3⋊D3—34no—
284C4×C3⋊D3—34no—
285C4×C3⋊D3—38no—
286C4×C3⋊D3—316no—
287C4×C3⋊D3—616no—
288C4×C3⋊D3C22×D312yes—
289C4×C3⋊D3C22×D312yes—
290#634—32no—
291#634—34no—
292#634—38no—
293#634—38no—
294#634—68no—
295#634C22×D314yes—
296C3×#67—332no—
297C3×#67C22×D3116yes—
298C3×#67C22×D3132yes—
299C2×C3×Dic3—316no—
300C2×C3×Dic3—38no—
301C2×C3×Dic3—34no—
302C2×C3×Dic3—316no—
303C2×C3×Dic3C22×D3116yes—
304C3×D12C22×D318yes—
305C3×C4×D3—38no—
306C3×C4×D3—38no—
307C3×C4×D3C22×D3116yes—
308C3×Dic6—316no—
309C3×Dic6C22×D318yes—
310#627—332no—
311#627—316no—
312#626—332no—
313#626—316no—
314#626—316no—
315#625—316no—
316#624—332no—
317#624—316no—
318D3×Dic3—332no—
319D3×Dic3—316no—
320D3×Dic3—316no—
321#585—271noSylow
322C2×C33—24no—
323C2×C33—21no—
324C2×C33C2511yescharacteristic
325C3⋊(C3⋊D3)—24no—
326C3×C3⋊D3—22no—
327C32×D3—24no—
328C3×#41—316no—
329C3×#41—38no—
330C3×#41—94no—
331C3×#41—94no—
332C2×C3×Q8—91no—
333C2×C3×D4—24no—
334C2×C3×D4—316no—
335C2×C3×D4—316no—
336C2×C3×D4—92no—
337C2×C3×D4D3214yescomplemented
338C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
339C22×C3×C4—92no—
340C22×C3×C4—91no—
341C2×#67—38no—
342C2×#67—916no—
343C2×#67—932no—
344C2×#67—916no—
345C2×#67—94no—
346C2×#67—94no—
347C2×#67—1816no—
348C2×#67C2×C3⋊D314yescomplemented
349C22×Dic3—38no—
350C22×Dic3—916no—
351#239—98no—
352#239—94no—
353#239—94no—
354D3×Q8—916no—
355D3×Q8—98no—
356D3×Q8—94no—
357D3×Q8—94no—
358#237—316no—
359#237—316no—
360#237—916no—
361#237—98no—
362#237—916no—
363#237—932no—
364#237—932no—
365#237—932no—
366#237—932no—
367#237—916no—
368#237—94no—
369#237—98no—
370#237—98no—
371#237—1816no—
372#237C2×C3⋊D314yescomplemented
373D3×D4—98no—
374D3×D4—932no—
375D3×D4—916no—
376D3×D4—98no—
377D3×D4—916no—
378D3×D4—94no—
379D3×D4—98no—
380D3×D4—1816no—
381D3×D4C2×C3⋊D314yescomplemented
382#235—916no—
383#235—916no—
384#235—932no—
385#235—98no—
386#235—92no—
387#235—94no—
388#235—98no—
389#235—98no—
390#235—98no—
391#235—92no—
392#235—94no—
393#235—92no—
394#235—188no—
395#235C2×C3⋊D312yescomplemented
396C2×D12—94no—
397C2×D12—92no—
398C2×C4×D3—34no—
399C2×C4×D3—916no—
400C2×C4×D3—916no—
401C2×C4×D3—94no—
402C2×C4×D3—94no—
403C2×C4×D3—94no—
404C2×Dic6—34no—
405C2×Dic6—916no—
406C2×Dic6—916no—
407C2×Dic6—94no—
408C2×Dic6—92no—
409C22×C32—216no—
410C22×C32—24no—
411C22×C32—34no—
412C22×C32—42no—
413C22×C32—48no—
414C22×C32—88no—
415C22×C32—124no—
416C22×C32C23×D314yes—
417C22×C32C23×D3116yes—
418C22×C32C23×D314yes—
419C22×C32C23×D311yescharacteristic
420C2×C3⋊D3—34no—
421C2×C3⋊D3—316no—
422C2×C3⋊D3—41no—
423C2×C3⋊D3—616no—
424C2×C3⋊D3—124no—
425C2×C3⋊D3—124no—
426C2×C3⋊D3—1216no—
427C2×C3⋊D3—2416no—
428C2×C3⋊D3C23×D312yes—
429C2×C3×D3—38no—
430C2×C3×D3—416no—
431C2×C3×D3—124no—
432C2×C3×D3C23×D3116yes—
433D32—1216no—
434C32×C4—28no—
435C32×C4—34no—
436C32×C4C23×D318yes—
437C32×C4C23×D312yes—
438C3⋊Dic3—34no—
439C3⋊Dic3—316no—
440C3⋊Dic3—616no—
441C3⋊Dic3C23×D311yescharacteristic
442C3⋊Dic3C23×D314yes—
443C3⋊Dic3C23×D311yescharacteristic
444C3×Dic3—34no—
445C3×Dic3—316no—
446C3×Dic3—34no—
447C3×Dic3C23×D3116yes—
4482−1+4—272no—
4492−1+4—274no—
450H(5,𝔽2)—31no—
451H(5,𝔽2)—274no—
452H(5,𝔽2)—274no—
453H(5,𝔽2)—271no—
454C2×#41—91no—
455C2×#41—274no—
456C2×#41—272no—
457C2×#41—274no—
458C2×#41—274no—
459C33#58511yescharacteristic, complemented, Sylow
460C23×C3—28no—
461C23×C3—316no—
462C23×C3—91no—
463C23×C3C2×D3218yes—
464C23×C3C22×C3⋊D312yes—
465C22×D3—34no—
466C22×D3—916no—
467C22×D3—916no—
468C22×D3—94no—
469C22×D3—94no—
470C22×D3—1816no—
471C22×D3C22×C3⋊D314yes—
472C3×Q8—38no—
473C3×Q8—94no—
474C3×D4—216no—
475C3×D4—316no—
476C3×D4—332no—
477C3×D4—38no—
478C3×D4—98no—
479C3×D4C2×D32116yes—
480C3×D4C22×C3⋊D314yes—
481C2×C3×C4—24no—
482C2×C3×C4—316no—
483C2×C3×C4—316no—
484C2×C3×C4—94no—
485C2×C3×C4—94no—
486C2×C3×C4—91no—
487C2×C3×C4—92no—
488C2×C3×C4—92no—
489C2×C3×C4—92no—
490C2×C3×C4C2×D3214yes—
491C2×C3×C4C22×C3⋊D311yescharacteristic
492#67—332no—
493#67—932no—
494#67—916no—
495#67—916no—
496#67—916no—
497#67—932no—
498#67—94no—
499#67—98no—
500#67—94no—
501#67—94no—
502#67—1816no—
503#67—1832no—
504#67C22×C3⋊D314yes—
505#67C22×C3⋊D318yes—
506C2×Dic3—38no—
507C2×Dic3—316no—
508C2×Dic3—34no—
509C2×Dic3—316no—
510C2×Dic3—932no—
511C2×Dic3—916no—
512C2×Dic3—916no—
513C2×Dic3—94no—
514C2×Dic3—94no—
515C2×Dic3—1816no—
516C2×Dic3C22×C3⋊D314yes—
517D12—916no—
518D12—94no—
519D12—98no—
520D12—98no—
521D12—92no—
522D12—188no—
523D12C22×C3⋊D312yes—
524C4×D3—38no—
525C4×D3—38no—
526C4×D3—916no—
527C4×D3—932no—
528C4×D3—916no—
529C4×D3—94no—
530C4×D3—98no—
531C4×D3—916no—
532C4×D3—94no—
533C4×D3—94no—
534C4×D3—98no—
535C4×D3—1816no—
536C4×D3C22×C3⋊D314yes—
537Dic6—316no—
538Dic6—932no—
539Dic6—916no—
540Dic6—98no—
541Dic6—92no—
542Dic6—94no—
543Dic6—98no—
544Dic6—188no—
545Dic6C22×C3⋊D312yes—
546C2×C32—21no—
547C2×C32—24no—
548C2×C32—24no—
549C2×C32—216no—
550C2×C32—24no—
551C2×C32—416no—
552C2×C32—44no—
553C2×C32—64no—
554C2×C32C24×D314yes—
555C2×C32C24×D311yescharacteristic
556C3⋊D3—22no—
557C3⋊D3—64no—
558C3⋊D3—616no—
559C3⋊D3—1216no—
560C3×D3—216no—
561C3×D3—68no—
562#41—34no—
563#41—32no—
564#41—94no—
565#41—94no—
566#41—274no—
567#41—278no—
568#41—274no—
569#41—274no—
570#41—278no—
571#41—272no—
572#41—278no—
573#41—278no—
574#41—272no—
575#41—278no—
576#41—274no—
577#41—274no—
578#41—272no—
579C2×Q8—91no—
580C2×Q8—274no—
581C2×Q8—274no—
582C2×Q8—272no—
583C2×Q8—274no—
584C2×D4—34no—
585C2×D4—34no—
586C2×D4—92no—
587C2×D4—272no—
588C2×D4—274no—
589C2×D4—278no—
590C2×D4—274no—
591C2×D4—278no—
592C2×D4—274no—
593C2×D4—274no—
594C2×D4D3×C3⋊D311yescharacteristic, complemented
595C22×C4—92no—
596C22×C4—91no—
597C22×C4—274no—
598C22×C4—274no—
599C22×C4—274no—
600C22×C3—216no—
601C22×C3—24no—
602C22×C3—316no—
603C22×C3—48no—
604C22×C3—42no—
605C22×C3—88no—
606C22×C3—92no—
607C22×C3—1216no—
608C22×C3—361no—
609C22×C3C22×D3214yes—
610C22×C3C22×D32116yes—
611C22×C3C23×C3⋊D314yes—
612C22×C3C23×C3⋊D311yescharacteristic
613C2×D3—38no—
614C2×D3—44no—
615C2×D3—916no—
616C2×D3—94no—
617C2×D3—124no—
618C2×D3—1816no—
619C2×D3—364no—
620C2×D3—3616no—
621C2×D3—364no—
622C2×D3—3616no—
623C2×D3—7216no—
624C2×D3C23×C3⋊D314yes—
625C3×C4—28no—
626C3×C4—316no—
627C3×C4—91no—
628C3×C4—94no—
629C3×C4—91no—
630C3×C4C22×D3218yes—
631C3×C4C23×C3⋊D312yes—
632Dic3—316no—
633Dic3—34no—
634Dic3—34no—
635Dic3—916no—
636Dic3—94no—
637Dic3—1816no—
638Dic3C23×C3⋊D314yes—
639C32—24no—
640C32#596411yescharacteristic, complemented
641C32#596614yescomplemented
642C23—34no—
643C23—91no—
644C23—274no—
645C23—274no—
646C23C2×D3×C3⋊D312yes—
647Q8—32no—
648Q8—94no—
649Q8—274no—
650Q8—278no—
651Q8—272no—
652D4—38no—
653D4—34no—
654D4—32no—
655D4—98no—
656D4—274no—
657D4—274no—
658D4—278no—
659D4—274no—
660D4—278no—
661D4—274no—
662D4—272no—
663D4C2×D3×C3⋊D314yes—
664C2×C4—34no—
665C2×C4—34no—
666C2×C4—91no—
667C2×C4—94no—
668C2×C4—92no—
669C2×C4—94no—
670C2×C4—92no—
671C2×C4—92no—
672C2×C4—274no—
673C2×C4—278no—
674C2×C4—274no—
675C2×C4—274no—
676C2×C4—278no—
677C2×C4—274no—
678C2×C4—274no—
679C2×C4C2×D3×C3⋊D311yescharacteristic
680C2×C3—24no—
681C2×C3—216no—
682C2×C3—24no—
683C2×C3—21no—
684C2×C3—24no—
685C2×C3—416no—
686C2×C3—44no—
687C2×C3—616no—
688C2×C3—182no—
689C2×C3C23×D3214yes—
690C2×C3C24×C3⋊D311yescharacteristic
691D3—24no—
692D3—68no—
693D3—1816no—
694D3—184no—
695D3—3616no—
696C22—34no—
697C22—42no—
698C22—92no—
699C22—124no—
700C22—274no—
701C22—361no—
702C22—1084no—
703C22—1084no—
704C22C22×D3×C3⋊D314yes—
705C22C22×D3×C3⋊D311yescharacteristic
706C4—34no—
707C4—91no—
708C4—91no—
709C4—94no—
710C4—274no—
711C4C22×D3×C3⋊D312yes—
712C3—24no—
713C3#1059667814yescomplemented
714C3#1059675811yescharacteristic, complemented
715C2—21no—
716C2—24no—
717C2—64no—
718C2—182no—
719C2—544no—
720C2C23×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. #11724679C2semidirect
2. C2×C3×#3830C2semidirect
3. C32×#1004C2semidirect
4. #11724611C2semidirect
5. C2×#89028C2semidirect
6. #11724588C2semidirect
7. #11724586C2semidirect
8. D3×#3830C2semidirect
9. #11724582C2semidirect
10. C3⋊D3×#235C2semidirect
11. #11724562C2semidirect
14. C2×C33×D4C22semidirect
15. C2×#6312C22semidirect
16. #89078C22semidirect
17. D4×C3⋊(C3⋊D3)C22semidirect
18. #89076C22semidirect
19. C2×C3×#638C22semidirect
20. C22×C3×C3⋊Dic3C22semidirect
21. C3×#3830C22semidirect
22. C3×#3830C22semidirect
23. C2×C3×C4×C3⋊D3C22semidirect
24. C2×C3×#634C22semidirect
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×#6291C22semidirect
34. C2×#6289C22semidirect
35. #89031C22semidirect
36. #89029C22semidirect
37. #89028C22semidirect
38. #89028C22semidirect
39. #89028C22semidirect
40. #89028C22semidirect
41. C2×D3×C3⋊Dic3C22semidirect
42. C3⋊D3×D12C22semidirect
43. C4×D3×C3⋊D3C22semidirect
44. #89022C22semidirect
45. #89020C22semidirect
46. #89019C22semidirect
47. #89018C22semidirect
48. C3⋊D3×Dic6C22semidirect
49. #89015C22semidirect
50. #89014C22semidirect
51. D3×#634C22semidirect
64. C2×#3830D3semidirect
65. C3×#1004D3semidirect
120. C2×C32×D4C2×D3semidirect
121. C2×C32×D4C2×D3semidirect
127. C2×#638C2×D3semidirect
129. C22×C3⋊Dic3C2×D3semidirect
143. #3830C2×D3semidirect
144. #3830C2×D3semidirect
159. C2×C4×C3⋊D3C2×D3semidirect
162. C2×#634C2×D3semidirect
164. C2×C3×#67C2×D3semidirect
168. C3×#237C2×D3semidirect
169. C3×D3×D4C2×D3semidirect
170. C3×#235C2×D3semidirect
229. #1004C3⋊D3semidirect
337. C2×C3×D4D32semidirect
338. C2×C3×D4C2×C3⋊D3semidirect
348. C2×#67C2×C3⋊D3semidirect
372. #237C2×C3⋊D3semidirect
381. D3×D4C2×C3⋊D3semidirect
395. #235C2×C3⋊D3semidirect
459. C33#585semidirect
594. C2×D4D3×C3⋊D3semidirect
640. C32#5964semidirect
641. C32#5966semidirect
713. C3#10596678semidirect
714. C3#10596758semidirect

Maximal subgroups

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

subgroupindex
#117246792
C2×C3×#38302
C32×#10042
#117246112
C2×#890282
#117245882
#117245862
D3×#38302
#117245822
C3⋊D3×#2352
#117245622
#105967583
#105966783