Finite Group Databasebeta

← #13181645

Subgroups — #13181645

Order 1728.

5524 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11724684C211yesmaximal, characteristic, complemented
2C3×#41×C3⋊D3C211yesmaximal, characteristic, complemented
3C32×#1010C211yesmaximal, characteristic, complemented
4D3×#3832C212yesmaximal, complemented
5#11724591C212yesmaximal, complemented
6#11724589C216yesmaximal, complemented
7#11724586C216yesmaximal, complemented
8#11724581C213yesmaximal, complemented
9C3⋊D3×#235C213yesmaximal, complemented
10C2×#89018C213yesmaximal, complemented
11#11724566C213yesmaximal, complemented
12#10596760—31nomaximal
13#10596697—34nomaximal
14C33×#41C2211yescharacteristic, complemented
15#89080C2212yescomplemented
16D4×C3⋊(C3⋊D3)C2216yescomplemented
17#89076C2213yescomplemented
18C2×C4⋊(C3⋊(C3⋊D3))C2213yescomplemented
19C3×#3832C2211yescharacteristic, complemented
20C3×Q8×C3⋊D3C2211yescharacteristic, complemented
21C3×#3830C2213yescomplemented
22C3×D4×C3⋊D3C2213yescomplemented
23C3×#3828C2213yescomplemented
24C2×C3×C4×C3⋊D3C2213yescomplemented
25C32×D3×Q8C2212yescomplemented
26C32×#237C2216yescomplemented
27C32×#235C2213yescomplemented
28C2×C32×Dic6C2213yescomplemented
29#89039C22112yescomplemented
30C3⋊D3×#67C2216yescomplemented
31C2×#6292C2216yescomplemented
32C2×#6289C2216yescomplemented
33#89031C22112yescomplemented
34#89028C2216yescomplemented
35C3⋊D3×D12C2213yescomplemented
36D3×C4⋊(C3⋊D3)C2216yescomplemented
37C4×D3×C3⋊D3C2216yescomplemented
38#89022C2216yescomplemented
39#89020C2216yescomplemented
40#89019C2216yescomplemented
41#89018C2216yescomplemented
42#89018C2213yescomplemented
43#89018C2216yescomplemented
44#89018C2216yescomplemented
45#89017C2216yescomplemented
46C3⋊D3×Dic6C2213yescomplemented
47#89014C2211yescharacteristic, complemented
48C32×2−1+4—31no—
49#64366—31no—
50#64366—36no—
51#64366—33no—
52#64366—34no—
53#64366—64no—
54#41×C3⋊D3—36no—
55#41×C3⋊D3—33no—
56#41×C3⋊D3D311yescharacteristic, complemented
57#64364—32no—
58#64364—33no—
59C2×#3832—32no—
60C2×#3832—33no—
61C3×#1010D314yescomplemented
62C3×D3×#41—34no—
63D3×#239—38no—
64#64316—38no—
65#64314—324no—
66#64312—324no—
67#64308—312no—
68D3×#235—312no—
69C2×#3799—312no—
70#64297—312no—
71C22×C3⋊(C3⋊D3)C2316yes—
72C22×C3×C3⋊D3C2313yes—
73C2×D3×C3⋊D3C2316yes—
74C33×Q8C2311yescharacteristic
75C33×D4C2313yes—
76C2×C33×C4C2313yes—
77#6312C2316yes—
78C4⋊(C3⋊(C3⋊D3))C2313yes—
79C4⋊(C3⋊(C3⋊D3))C2316yes—
80C4×C3⋊(C3⋊D3)C2316yes—
81#6308C2311yescharacteristic
82C3×#638C2316yes—
83C2×C3×C3⋊Dic3C2313yes—
84C3×C4⋊(C3⋊D3)C2313yes—
85C3×C4×C3⋊D3C2311yescharacteristic
86C3×C4×C3⋊D3C2313yes—
87C3×C4×C3⋊D3C2313yes—
88C3×C4×C3⋊D3C2313yes—
89C3×#634C2313yes—
90C32×#67C2316yes—
91C2×C32×Dic3C2316yes—
92C32×D12C2311yescharacteristic
93C32×C4×D3C2316yes—
94C32×Dic6C2313yes—
95C32×Dic6C2316yes—
96#6293C2316yes—
97#6292C23112yes—
98#6292C2316yes—
99#6291C2316yes—
100#6290C2312yes—
101#6289C2316yes—
102#6289C23112yes—
103Dic3×C3⋊D3C2316yes—
104D3×C3⋊Dic3C2312yes—
105#5968—94no—
106#5964—91no—
107C32×#41—24no—
108C32×#41—36no—
109C32×#41—33no—
110C32×#41C2×D314yescomplemented
111C32×#41C2×D311yescharacteristic, complemented
112C2×C32×Q8—32no—
113C2×C32×Q8—33no—
114#3832—32no—
115#3832—38no—
116#3832—36no—
117#3832—36no—
118#3832—33no—
119#3832—36no—
120#3832—36no—
121#3832—68no—
122#3832C2×D311yescharacteristic, complemented
123Q8×C3⋊D3—33no—
124Q8×C3⋊D3—36no—
125Q8×C3⋊D3C2×D311yescharacteristic, complemented
126#3830—36no—
127#3830—31no—
128#3830C2×D313yescomplemented
129D4×C3⋊D3—36no—
130D4×C3⋊D3—36no—
131D4×C3⋊D3—324no—
132D4×C3⋊D3—312no—
133D4×C3⋊D3—33no—
134D4×C3⋊D3—624no—
135D4×C3⋊D3C2×D313yescomplemented
136#3828—33no—
137#3828—312no—
138#3828—312no—
139#3828—36no—
140#3828—36no—
141#3828—612no—
142#3828C2×D313yescomplemented
143C2×C4⋊(C3⋊D3)—36no—
144C2×C4⋊(C3⋊D3)—33no—
145C2×C4⋊(C3⋊D3)—312no—
146C2×C4⋊(C3⋊D3)—36no—
147C2×C4⋊(C3⋊D3)—612no—
148C2×C4×C3⋊D3—36no—
149C2×C4×C3⋊D3—36no—
150C2×C4×C3⋊D3C2×D313yescomplemented
151C3×#239—34no—
152C3×D3×Q8—34no—
153C3×D3×Q8C2×D318yescomplemented
154C3×#237—312no—
155C3×#237C2×D3124yescomplemented
156C3×D3×D4—312no—
157C3×#235—312no—
158C3×#235C2×D3112yescomplemented
159C2×C3×C4×D3—312no—
160C2×C3×Dic6C2×D3112yescomplemented
161#3811—348no—
162D3×#67—324no—
163C2×#626—324no—
164C2×#624—324no—
165#3804—324no—
166#3804—348no—
167D3×D12—312no—
168D3×D12—324no—
169C4×D32—324no—
170#3799—324no—
171#3799—324no—
172#3799—312no—
173#3799—324no—
174#3799—324no—
175#3798—324no—
176#3797—324no—
177#3796—324no—
178#3795—34no—
179D3×Dic6—312no—
180C22×C33C2413yes—
181C2×C3⋊(C3⋊D3)—46no—
182C2×C3⋊(C3⋊D3)C2416yes—
183C2×C3×C3⋊D3—43no—
184C2×C3×C3⋊D3C2413yes—
185C2×C3×C3⋊D3C2411yescharacteristic
186C2×C32×D3C2412yes—
187D3×C3⋊D3—46no—
188C33×C4C2411yescharacteristic
189C33×C4C2413yes—
190C3⋊(C3⋊Dic3)C2412yes—
191C3×C3⋊Dic3C2411yescharacteristic
192C3×C3⋊Dic3C2413yes—
193C32×Dic3C2416yes—
194C3×2−1+4—34no—
195C2×C3×#41—91no—
196#1010—93no—
197#1010C3⋊D311yescharacteristic, complemented
198#1009—912no—
199#1009—924no—
200#1009—94no—
201#1009—91no—
202#1009—93no—
203#1009—184no—
204D3×#41—34no—
205D3×#41—912no—
206D3×#41—924no—
207D3×#41—92no—
208D3×#41—96no—
209#1007—912no—
210#1007—98no—
211#1007—92no—
212C2×#239—912no—
213C2×#239—98no—
214#1004—96no—
215C2×#235—93no—
216C2×#235—93no—
217C22×C3⋊D3—36no—
218C22×C3⋊D3—36no—
219C22×C3⋊D3—324no—
220C22×C3⋊D3—624no—
221C22×C3⋊D3C22×D313yes—
222C22×C3×D3—312no—
223C2×D32—324no—
224C32×Q8—24no—
225C32×Q8—33no—
226C32×Q8—36no—
227C32×Q8C22×D314yes—
228C32×Q8C22×D311yescharacteristic
229C32×D4—212no—
230C32×D4—36no—
231C32×D4—31no—
232C32×D4C22×D3112yes—
233C32×D4C22×D313yes—
234C2×C32×C4—212no—
235C2×C32×C4—36no—
236C2×C32×C4—36no—
237C2×C32×C4C22×D3112yes—
238C2×C32×C4C22×D313yes—
239#638—36no—
240#638—32no—
241#638—36no—
242#638—324no—
243#638—624no—
244#638C22×D316yes—
245C2×C3⋊Dic3—32no—
246C2×C3⋊Dic3C22×D313yes—
247C4⋊(C3⋊D3)—312no—
248C4⋊(C3⋊D3)—36no—
249C4⋊(C3⋊D3)—33no—
250C4⋊(C3⋊D3)—36no—
251C4⋊(C3⋊D3)—312no—
252C4⋊(C3⋊D3)—324no—
253C4⋊(C3⋊D3)—612no—
254C4⋊(C3⋊D3)—624no—
255C4⋊(C3⋊D3)C22×D313yes—
256C4×C3⋊D3—36no—
257C4×C3⋊D3—36no—
258C4×C3⋊D3—36no—
259C4×C3⋊D3—312no—
260C4×C3⋊D3—324no—
261C4×C3⋊D3—624no—
262C4×C3⋊D3C22×D313yes—
263C4×C3⋊D3C22×D311yescharacteristic
264C4×C3⋊D3C22×D313yes—
265C4×C3⋊D3C22×D313yes—
266#634—31no—
267#634—36no—
268#634—34no—
269#634—64no—
270#634C22×D313yes—
271C3×#67—324no—
272C3×#67C22×D3124yes—
273C2×C3×Dic3—312no—
274C2×C3×Dic3C22×D3124yes—
275C3×D12—312no—
276C3×D12C22×D314yes—
277C3×C4×D3—312no—
278C3×C4×D3—34no—
279C3×C4×D3—312no—
280C3×C4×D3—312no—
281C3×C4×D3C22×D3124yes—
282C3×Dic6—312no—
283C3×Dic6C22×D3112yes—
284C3×Dic6C22×D3124yes—
285#627—324no—
286#626—324no—
287#626—348no—
288#626—324no—
289#625—38no—
290#624—348no—
291#624—324no—
292D3×Dic3—38no—
293D3×Dic3—324no—
294#585—271noSylow
295C2×C33—23no—
296C2×C33C2511yescharacteristic
297C3⋊(C3⋊D3)—26no—
298C3×C3⋊D3—23no—
299C3×C3⋊D3—21no—
300C32×D3—22no—
301C3×#41—24no—
302C3×#41—324no—
303C3×#41—312no—
304C3×#41—91no—
305C3×#41—93no—
306C3×#41—93no—
307C3×#41D3214yescomplemented
308C3×#41C2×C3⋊D311yescharacteristic, complemented
309C2×C3×Q8—38no—
310C2×C3×Q8—312no—
311C2×C3×Q8—91no—
312C2×C3×D4—93no—
313C22×C3×C4—93no—
314C2×#67—96no—
315C2×#67—96no—
316#239—34no—
317#239—912no—
318#239—924no—
319#239—924no—
320#239—924no—
321#239—924no—
322#239—98no—
323#239—92no—
324#239—96no—
325#239—188no—
326D3×Q8—34no—
327D3×Q8—924no—
328D3×Q8—912no—
329D3×Q8—96no—
330D3×Q8C2×C3⋊D312yescomplemented
331#237—312no—
332#237—94no—
333#237—924no—
334#237—912no—
335#237—96no—
336#237C2×C3⋊D316yescomplemented
337D3×D4—312no—
338D3×D4—912no—
339D3×D4—948no—
340D3×D4—924no—
341D3×D4—924no—
342D3×D4—96no—
343D3×D4—912no—
344D3×D4—96no—
345D3×D4—1824no—
346#235—312no—
347#235—924no—
348#235—924no—
349#235—948no—
350#235—912no—
351#235—93no—
352#235—96no—
353#235—91no—
354#235—96no—
355#235—93no—
356#235—96no—
357#235—96no—
358#235—96no—
359#235—1812no—
360#235C2×C3⋊D313yescomplemented
361C2×D12—924no—
362C2×D12—924no—
363C2×D12—912no—
364C2×D12—93no—
365C2×D12—93no—
366C2×D12—1812no—
367C2×C4×D3—312no—
368C2×C4×D3—924no—
369C2×C4×D3—924no—
370C2×C4×D3—96no—
371C2×C4×D3—96no—
372C2×Dic6—93no—
373C2×Dic6C2×C3⋊D313yescomplemented
374C22×C32—212no—
375C22×C32—32no—
376C22×C32C23×D3112yes—
377C22×C32C23×D313yes—
378C2×C3⋊D3—36no—
379C2×C3⋊D3—324no—
380C2×C3⋊D3—43no—
381C2×C3⋊D3—624no—
382C2×C3⋊D3—126no—
383C2×C3⋊D3—126no—
384C2×C3⋊D3—1224no—
385C2×C3⋊D3—2424no—
386C2×C3⋊D3C23×D313yes—
387C2×C3⋊D3C23×D311yescharacteristic
388C2×C3×D3—312no—
389C2×C3×D3—34no—
390C2×C3×D3—1212no—
391C2×C3×D3C23×D318yes—
392D32—1224no—
393C32×C4—24no—
394C32×C4—212no—
395C32×C4—36no—
396C32×C4C23×D3112yes—
397C32×C4C23×D314yes—
398C32×C4C23×D311yescharacteristic
399C32×C4C23×D313yes—
400C3⋊Dic3—32no—
401C3⋊Dic3—38no—
402C3⋊Dic3—68no—
403C3⋊Dic3C23×D313yes—
404C3⋊Dic3C23×D311yescharacteristic
405C3×Dic3—34no—
406C3×Dic3—312no—
407C3×Dic3C23×D3124yes—
4082−1+4—31no—
4092−1+4—272no—
4102−1+4—273no—
411H(5,𝔽2)—276no—
412H(5,𝔽2)—273no—
413H(5,𝔽2)—271no—
414C2×#41—91no—
415C2×#41—273no—
416C2×#41—273no—
417C2×#41—272no—
418C2×#41—276no—
419C33#58511yescharacteristic, complemented, Sylow
420C23×C3—93no—
421C22×D3—312no—
422C22×D3—924no—
423C22×D3—924no—
424C22×D3—96no—
425C22×D3—96no—
426C22×D3—1824no—
427C3×Q8—24no—
428C3×Q8—324no—
429C3×Q8—312no—
430C3×Q8—93no—
431C3×Q8C2×D3214yes—
432C3×Q8C22×C3⋊D311yescharacteristic
433C3×D4—212no—
434C3×D4—324no—
435C3×D4—34no—
436C3×D4—96no—
437C3×D4—93no—
438C3×D4C2×D32112yes—
439C3×D4C22×C3⋊D313yes—
440C2×C3×C4—212no—
441C2×C3×C4—324no—
442C2×C3×C4—324no—
443C2×C3×C4—93no—
444C2×C3×C4—93no—
445C2×C3×C4—93no—
446C2×C3×C4—91no—
447C2×C3×C4—93no—
448C2×C3×C4C2×D32112yes—
449C2×C3×C4C22×C3⋊D313yes—
450#67—324no—
451#67—924no—
452#67—98no—
453#67—924no—
454#67—96no—
455#67—92no—
456#67—96no—
457#67—912no—
458#67—1824no—
459#67C22×C3⋊D316yes—
460C2×Dic3—312no—
461C2×Dic3—98no—
462C2×Dic3—96no—
463C2×Dic3C22×C3⋊D316yes—
464D12—312no—
465D12—924no—
466D12—948no—
467D12—96no—
468D12—924no—
469D12—912no—
470D12—93no—
471D12—96no—
472D12—1812no—
473D12—1824no—
474D12C22×C3⋊D311yescharacteristic
475C4×D3—34no—
476C4×D3—312no—
477C4×D3—312no—
478C4×D3—312no—
479C4×D3—924no—
480C4×D3—948no—
481C4×D3—924no—
482C4×D3—92no—
483C4×D3—924no—
484C4×D3—96no—
485C4×D3—96no—
486C4×D3—912no—
487C4×D3—1824no—
488C4×D3C22×C3⋊D316yes—
489Dic6—312no—
490Dic6—924no—
491Dic6—94no—
492Dic6—91no—
493Dic6—96no—
494Dic6—184no—
495Dic6C22×C3⋊D313yes—
496Dic6C22×C3⋊D316yes—
497C2×C32—23no—
498C2×C32—24no—
499C2×C32—212no—
500C2×C32—412no—
501C2×C32—62no—
502C2×C32C24×D314yes—
503C2×C32C24×D311yescharacteristic
504C3⋊D3—21no—
505C3⋊D3—23no—
506C3⋊D3—66no—
507C3⋊D3—624no—
508C3⋊D3—1224no—
509C3×D3—28no—
510C3×D3—612no—
511C3×D3—64no—
512#41—36no—
513#41—33no—
514#41—91no—
515#41—93no—
516#41—93no—
517#41—276no—
518#41—2712no—
519#41—276no—
520#41—276no—
521#41—271no—
522#41—273no—
523#41—276no—
524#41—276no—
525#41—276no—
526#41—276no—
527#41—272no—
528#41—273no—
529#41D3×C3⋊D311yescharacteristic, complemented
530C2×Q8—32no—
531C2×Q8—33no—
532C2×Q8—91no—
533C2×Q8—273no—
534C2×Q8—276no—
535C2×D4—93no—
536C2×D4—276no—
537C2×D4—276no—
538C2×D4—273no—
539C2×D4—2712no—
540C2×D4—276no—
541C2×D4—276no—
542C2×D4—273no—
543C22×C4—93no—
544C22×C4—276no—
545C22×C4—276no—
546C22×C3—212no—
547C22×C3—38no—
548C22×C3—93no—
549C22×C3—91no—
550C22×C3—363no—
551C22×C3C22×D32112yes—
552C22×C3C23×C3⋊D313yes—
553C2×D3—34no—
554C2×D3—312no—
555C2×D3—924no—
556C2×D3—96no—
557C2×D3—1212no—
558C2×D3—1824no—
559C2×D3—366no—
560C2×D3—3624no—
561C2×D3—366no—
562C2×D3—3624no—
563C2×D3—7224no—
564C2×D3C23×C3⋊D312yes—
565C3×C4—24no—
566C3×C4—212no—
567C3×C4—324no—
568C3×C4—93no—
569C3×C4—91no—
570C3×C4C22×D32112yes—
571C3×C4C22×D3214yes—
572C3×C4C23×C3⋊D311yescharacteristic
573C3×C4C23×C3⋊D313yes—
574Dic3—312no—
575Dic3—34no—
576Dic3—98no—
577Dic3—92no—
578Dic3—188no—
579Dic3C23×C3⋊D316yes—
580C32—24no—
581C32#596411yescharacteristic, complemented
582C32#596814yescomplemented
583C23—93no—
584C23—276no—
585C23—276no—
586Q8—36no—
587Q8—33no—
588Q8—93no—
589Q8—276no—
590Q8—271no—
591Q8C2×D3×C3⋊D311yescharacteristic
592D4—36no—
593D4—31no—
594D4—96no—
595D4—93no—
596D4—276no—
597D4—2712no—
598D4—276no—
599D4—272no—
600D4—276no—
601D4—276no—
602D4—273no—
603D4C2×D3×C3⋊D313yes—
604C2×C4—36no—
605C2×C4—36no—
606C2×C4—93no—
607C2×C4—91no—
608C2×C4—93no—
609C2×C4—93no—
610C2×C4—93no—
611C2×C4—276no—
612C2×C4—2712no—
613C2×C4—276no—
614C2×C4—272no—
615C2×C4—276no—
616C2×C4C2×D3×C3⋊D313yes—
617C2×C3—212no—
618C2×C3—23no—
619C2×C3—24no—
620C2×C3—412no—
621C2×C3—68no—
622C2×C3—183no—
623C2×C3—181no—
624C2×C3C23×D3214yes—
625C2×C3C24×C3⋊D311yescharacteristic
626D3—22no—
627D3—64no—
628D3—612no—
629D3—1824no—
630D3—186no—
631D3—3624no—
632C22—32no—
633C22—91no—
634C22—93no—
635C22—276no—
636C22—363no—
637C22—1086no—
638C22—1086no—
639C22C22×D3×C3⋊D313yes—
640C4—36no—
641C4—91no—
642C4—93no—
643C4—272no—
644C4C22×D3×C3⋊D313yes—
645C4C22×D3×C3⋊D311yescharacteristic
646C3—24no—
647C3#1059669714yescomplemented
648C3#1059676011yescharacteristic, complemented
649C2—23no—
650C2—62no—
651C2—181no—
652C2—183no—
653C2—546no—
654C2C23×D3×C3⋊D311yescharacteristic
subgroupG/H
center, FrattiniC2C23×D3×C3⋊D3
commutator, socle, cosocleC2×C33C25
FittingC33×#41C22
hypercenter#41D3×C3⋊D3
hypocenterC33#585
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ #41

Complements

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

NH ≅ G/Ntype
1. #11724684C2semidirect
2. C3×#41×C3⋊D3C2semidirect
3. C32×#1010C2semidirect
4. D3×#3832C2semidirect
5. #11724591C2semidirect
6. #11724589C2semidirect
7. #11724586C2semidirect
8. #11724581C2semidirect
9. C3⋊D3×#235C2semidirect
10. C2×#89018C2semidirect
11. #11724566C2semidirect
14. C33×#41C22semidirect
15. #89080C22semidirect
16. D4×C3⋊(C3⋊D3)C22semidirect
17. #89076C22semidirect
18. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
19. C3×#3832C22semidirect
20. C3×Q8×C3⋊D3C22semidirect
21. C3×#3830C22semidirect
22. C3×D4×C3⋊D3C22semidirect
23. C3×#3828C22semidirect
24. C2×C3×C4×C3⋊D3C22semidirect
25. C32×D3×Q8C22semidirect
26. C32×#237C22semidirect
27. C32×#235C22semidirect
28. C2×C32×Dic6C22semidirect
29. #89039C22semidirect
30. C3⋊D3×#67C22semidirect
31. C2×#6292C22semidirect
32. C2×#6289C22semidirect
33. #89031C22semidirect
34. #89028C22semidirect
35. C3⋊D3×D12C22semidirect
36. D3×C4⋊(C3⋊D3)C22semidirect
37. C4×D3×C3⋊D3C22semidirect
38. #89022C22semidirect
39. #89020C22semidirect
40. #89019C22semidirect
41. #89018C22semidirect
42. #89018C22semidirect
43. #89018C22semidirect
44. #89018C22semidirect
45. #89017C22semidirect
46. C3⋊D3×Dic6C22semidirect
47. #89014C22semidirect
56. #41×C3⋊D3D3semidirect
61. C3×#1010D3semidirect
110. C32×#41C2×D3semidirect
111. C32×#41C2×D3semidirect
122. #3832C2×D3semidirect
125. Q8×C3⋊D3C2×D3semidirect
128. #3830C2×D3semidirect
135. D4×C3⋊D3C2×D3semidirect
142. #3828C2×D3semidirect
150. C2×C4×C3⋊D3C2×D3semidirect
153. C3×D3×Q8C2×D3semidirect
155. C3×#237C2×D3semidirect
158. C3×#235C2×D3semidirect
160. C2×C3×Dic6C2×D3semidirect
197. #1010C3⋊D3semidirect
307. C3×#41D32semidirect
308. C3×#41C2×C3⋊D3semidirect
330. D3×Q8C2×C3⋊D3semidirect
336. #237C2×C3⋊D3semidirect
360. #235C2×C3⋊D3semidirect
373. C2×Dic6C2×C3⋊D3semidirect
419. C33#585semidirect
529. #41D3×C3⋊D3semidirect
581. C32#5964semidirect
582. C32#5968semidirect
647. C3#10596697semidirect
648. C3#10596760semidirect

Maximal subgroups

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

subgroupindex
#117246842
C3×#41×C3⋊D32
C32×#10102
D3×#38322
#117245912
#117245892
#117245862
#117245812
C3⋊D3×#2352
C2×#890182
#117245662
#105967603
#105966973