Finite Group Databasebeta

← C3×#10594752 #13174349

Subgroups — C3×#10594752 #13174349

Order 1728.

1194 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64316C211yesmaximal, characteristic, complemented
2C3×#64309C211yesmaximal, characteristic, complemented
3C3×#64125C211yesmaximal, characteristic, complemented
4C32×#915C212yesmaximal, complemented
5C3×#63945C211yesmaximal, characteristic, complemented
6C3×D3×#216C212yesmaximal, complemented
7C3×#63935C212yesmaximal, complemented
8C3×#63931C211yesmaximal, characteristic, complemented
9C3×#63805C211yesmaximal, characteristic, complemented
10C3×#63802C211yesmaximal, characteristic, complemented
11C3×#63801C212yesmaximal, complemented
12C3×#5779—32nomaximal
13#10594752C311yesmaximal, characteristic, direct product factor
14C3×#3832C2211yescharacteristic
15C3×#3830C2211yescharacteristic
16C32×D3×Q8C2212yes—
17C32×#237C2212yes—
18C2×C3×#627—21no—
19C3×#3805—21no—
20C3×#3804—22no—
21C3×#3799—22no—
22C3×#3799C2212yes—
23C3×#3798—21no—
24C3×#3798C2211yescharacteristic
25C3×#3797—21no—
26C3×#3797C2211yescharacteristic
27C3×#3797C2211yescharacteristic
28C3×D3×Dic6C2212yes—
29C33×SD16C2211yescharacteristic
30C3×#3756C2211yescharacteristic
31C3×#3753C2211yescharacteristic
32C3×#3744C2211yescharacteristic
33C3×C8×C3⋊D3C2211yescharacteristic
34C32×#216C2212yes—
35C32×#214C2212yes—
36C32×Dic12C2212yes—
37C32×ΓL(1,𝔽25)C2212yes—
38C3×#3719C2212yes—
39C3×#3718C2212yes—
40C3×#3717C2212yes—
41C3×#3712C2211yescharacteristic
42C3×D3×C3⋊C8C2212yes—
43C3×#1010—32no—
44C3×#1007—32no—
45#64316C2×C311yescharacteristic, complemented
46#64309C2×C311yescharacteristic, complemented
47C32×#137—32no—
48#64125C2×C311yescharacteristic, complemented
49C3×#950—32no—
50C2×C3×#216—32no—
51C3×#918—32no—
52C3×#918—32no—
53C3×D3×Q16—32no—
54C3×D3×Q16—32no—
55C3×#916—32no—
56C3×#916—32no—
57C3×#916—61no—
58C3×#915—22no—
59C3×#915—32no—
60C3×#915D312yescomplemented
61C3×#915C2×C312yescomplemented
62C3×#909—32no—
63C3×#907—32no—
64#63945C2×C311yescharacteristic, complemented
65D3×#216C2×C312yescomplemented
66#63935C2×C312yescomplemented
67#63931C2×C311yescharacteristic, complemented
68#63805C2×C311yescharacteristic, complemented
69#63802C2×C311yescharacteristic, complemented
70#63801C2×C312yescomplemented
71C33×Q8C2311yescharacteristic
72C33×D4C2311yescharacteristic
73C3×#638—21no—
74C2×C3×C3⋊Dic3—21no—
75C3×C4⋊(C3⋊D3)—21no—
76C3×C4⋊(C3⋊D3)C2311yescharacteristic
77C3×C4×C3⋊D3—21no—
78C3×C4×C3⋊D3C2311yescharacteristic
79C3×#634C2311yescharacteristic
80C32×#67—22no—
81C2×C32×Dic3—22no—
82C32×C4×D3—22no—
83C32×C4×D3C2312yes—
84C32×Dic6—22no—
85C32×Dic6C2312yes—
86C32×Dic6C2312yes—
87C3×#627—21no—
88C3×#627—21no—
89C3×#627—22no—
90C3×#627D411yescharacteristic
91C3×#626—22no—
92C3×#626D412yes—
93C3×#625D411yescharacteristic
94C3×#624—21no—
95C3×#624—21no—
96C3×#624—22no—
97C3×D3×Dic3—22no—
98C33×C8C2311yescharacteristic
99C3×C3⋊(C3⋊C8)C2311yescharacteristic
100C32×C3⋊C8C2312yes—
101C3×#578—91no—
102#5779—32no—
103C32×#41—32no—
104C2×C32×Q8—32no—
105#3832C22×C311yescharacteristic
106#3830C22×C311yescharacteristic
107C3×#239—32no—
108C3×#239—32no—
109C3×#239—62no—
110C3×#239—61no—
111C3×D3×Q8—22no—
112C3×D3×Q8—32no—
113C3×D3×Q8—32no—
114C3×D3×Q8—32no—
115C3×D3×Q8—62no—
116C3×D3×Q8C2×D312yes—
117C3×D3×Q8C22×C312yes—
118C3×#237—22no—
119C3×#237—32no—
120C3×#237—62no—
121C3×#237—62no—
122C3×#237—61no—
123C3×#237C2×D312yes—
124C3×#237C22×C312yes—
125C3×#235—32no—
126C3×#235—32no—
127C3×#235—62no—
128C3×#235—62no—
129C3×#235—62no—
130C2×C3×Dic6—32no—
131C2×C3×Dic6—62no—
132C2×#627—21no—
133#3805—21no—
134#3804—22no—
135#3799—22no—
136#3799C22×C312yes—
137#3798—21no—
138#3798C22×C311yescharacteristic
139#3797—21no—
140#3797C22×C311yescharacteristic
141#3797C22×C311yescharacteristic
142D3×Dic6C22×C312yes—
143C32×Q16—32no—
144C32×Q16—32no—
145C32×SD16—21no—
146C32×SD16—22no—
147C32×SD16—32no—
148C32×SD16—41no—
149C32×SD16C2×D312yes—
150C32×SD16C22×C311yescharacteristic
151C32×M16—32no—
152#3756C22×C311yescharacteristic
153#3753C22×C311yescharacteristic
154#3744C22×C311yescharacteristic
155C8×C3⋊D3C22×C311yescharacteristic
156C3×#216—22no—
157C3×#216—32no—
158C3×#216—32no—
159C3×#216—32no—
160C3×#216—32no—
161C3×#216—61no—
162C3×#216C2×D312yes—
163C3×#216C22×C312yes—
164C3×#215—32no—
165C3×#214—22no—
166C3×#214C2×D312yes—
167C3×#214C22×C312yes—
168C3×#213—32no—
169C3×#213—61no—
170C2×C3×C3⋊C8—32no—
171C3×Dic12—22no—
172C3×Dic12—32no—
173C3×Dic12C2×D312yes—
174C3×Dic12C22×C312yes—
175C3×#204—32no—
176C3×#204—32no—
177C3×#204—61no—
178C3×ΓL(1,𝔽25)—22no—
179C3×ΓL(1,𝔽25)—32no—
180C3×ΓL(1,𝔽25)C2×D312yes—
181C3×ΓL(1,𝔽25)C22×C312yes—
182C3×D3×C8—32no—
183C3×D3×C8—32no—
184C3×D3×C8—61no—
185#3719C22×C312yes—
186#3718C22×C312yes—
187#3717C22×C312yes—
188#3712C22×C311yescharacteristic
189D3×C3⋊C8C22×C312yes—
190C22×C33—21no—
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3C2×D411yescharacteristic
193C2×C32×D3C2×D412yes—
194C33×C4—21no—
195C33×C4C2411yescharacteristic
196C3×C3⋊Dic3—21no—
197C3×C3⋊Dic3C2×D411yescharacteristic
198C32×Dic3—22no—
199C32×Dic3—22no—
200C32×Dic3C2×D412yes—
201C3×2−1+4—91no—
202C3×2−1+4—91no—
203#1010—32no—
204#1007—32no—
205C3×#137—32no—
206C3×#137—32no—
207C3×#137—62no—
208C3×#137—92no—
209C3×#137—91no—
210C3×#137—91no—
211C3×#135—92no—
212C3×#135—91no—
213C2×C3×Q16—91no—
214C2×C3×Q16—92no—
215C3×#131—91no—
216#950—32no—
217C2×#216—32no—
218#918—32no—
219#918—32no—
220D3×Q16—32no—
221D3×Q16—32no—
222#916—32no—
223#916—32no—
224#916—61no—
225#915—32no—
226#915C3×D312yescomplemented
227#909—32no—
228#907—32no—
229C32×Q8—21no—
230C32×Q8—22no—
231C32×Q8—32no—
232C32×Q8—32no—
233C32×Q8—41no—
234C32×Q8—62no—
235C32×Q8C22×D312yes—
236C32×Q8C23×C311yescharacteristic
237C32×D4—21no—
238C32×D4—22no—
239C32×D4—41no—
240C32×D4—62no—
241C32×D4C22×D312yes—
242C32×D4C23×C311yescharacteristic
243C2×C32×C4—32no—
244C2×C32×C4—62no—
245C2×C32×C4—62no—
246#638—21no—
247C2×C3⋊Dic3—21no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)C23×C311yescharacteristic
250C4×C3⋊D3—21no—
251C4×C3⋊D3C23×C311yescharacteristic
252#634C23×C311yescharacteristic
253C3×#67—22no—
254C3×#67—22no—
255C3×#67—32no—
256C3×#67—32no—
257C3×#67—42no—
258C3×#67—62no—
259C3×#67—62no—
260C3×#67—121no—
261C2×C3×Dic3—22no—
262C2×C3×Dic3—22no—
263C2×C3×Dic3—42no—
264C2×C3×Dic3—62no—
265C2×C3×Dic3—62no—
266C2×C3×Dic3—121no—
267C3×D12—32no—
268C3×D12—32no—
269C3×D12—61no—
270C3×D12—62no—
271C3×D12—62no—
272C3×D12—121no—
273C3×C4×D3—22no—
274C3×C4×D3—22no—
275C3×C4×D3—22no—
276C3×C4×D3—32no—
277C3×C4×D3—42no—
278C3×C4×D3—61no—
279C3×C4×D3—62no—
280C3×C4×D3—62no—
281C3×C4×D3—62no—
282C3×C4×D3—62no—
283C3×C4×D3—62no—
284C3×C4×D3—62no—
285C3×C4×D3—121no—
286C3×C4×D3C22×D312yes—
287C3×C4×D3C23×C312yes—
288C3×Dic6—22no—
289C3×Dic6—22no—
290C3×Dic6—22no—
291C3×Dic6—22no—
292C3×Dic6—32no—
293C3×Dic6—32no—
294C3×Dic6—42no—
295C3×Dic6—61no—
296C3×Dic6—62no—
297C3×Dic6—62no—
298C3×Dic6—62no—
299C3×Dic6—62no—
300C3×Dic6C22×D312yes—
301C3×Dic6C22×D312yes—
302C3×Dic6C23×C312yes—
303C3×Dic6C23×C312yes—
304#627—21no—
305#627—21no—
306#627—22no—
307#627C3×D411yescharacteristic
308#626—22no—
309#626C3×D412yes—
310#625C3×D411yescharacteristic
311#624—21no—
312#624—21no—
313#624—22no—
314D3×Dic3—22no—
315C32×C8—21no—
316C32×C8—22no—
317C32×C8—32no—
318C32×C8—41no—
319C32×C8C22×D312yes—
320C32×C8C23×C311yescharacteristic
321C3⋊(C3⋊C8)C23×C311yescharacteristic
322C3×C3⋊C8—22no—
323C3×C3⋊C8—32no—
324C3×C3⋊C8—61no—
325C3×C3⋊C8C22×D312yes—
326C3×C3⋊C8C23×C312yes—
327#578—91noSylow
328C2×C33—41no—
329C2×C33C22×D411yescharacteristic
330C3×C3⋊D3—21no—
331C3×C3⋊D3—41no—
332C32×D3—22no—
333C3×#41—32no—
334C3×#41—32no—
335C3×#41—62no—
336C3×#41—91no—
337C3×#41—92no—
338C3×#41—91no—
339C3×#41—91no—
340C3×#41—181no—
341C3×#41—182no—
342C3×#41—182no—
343C3×#41—181no—
344C2×C3×Q8—32no—
345C2×C3×Q8—32no—
346C2×C3×Q8—62no—
347C2×C3×Q8—92no—
348C2×C3×Q8—91no—
349C2×C3×Q8—91no—
350C2×C3×Q8—181no—
351C2×C3×Q8—181no—
352#239—32no—
353#239—32no—
354#239—61no—
355#239—62no—
356D3×Q8—32no—
357D3×Q8—32no—
358D3×Q8—32no—
359D3×Q8—62no—
360D3×Q8C2×C3×D312yes—
361#237—32no—
362#237—61no—
363#237—62no—
364#237—62no—
365#237C2×C3×D312yes—
366#235—32no—
367#235—32no—
368#235—62no—
369#235—62no—
370#235—62no—
371C2×Dic6—32no—
372C2×Dic6—62no—
373C3×Q16—32no—
374C3×Q16—32no—
375C3×Q16—32no—
376C3×Q16—32no—
377C3×Q16—62no—
378C3×Q16—62no—
379C3×Q16—92no—
380C3×Q16—92no—
381C3×Q16—91no—
382C3×SD16—21no—
383C3×SD16—22no—
384C3×SD16—32no—
385C3×SD16—32no—
386C3×SD16—41no—
387C3×SD16—62no—
388C3×SD16—92no—
389C3×SD16—91no—
390C3×SD16D3211yescharacteristic
391C3×SD16C2×C3×D312yes—
392C3×D8—91no—
393C3×M16—32no—
394C3×M16—32no—
395C3×M16—62no—
396C3×M16—91no—
397C2×C3×C8—92no—
398C2×C3×C8—91no—
399#216—32no—
400#216—32no—
401#216—32no—
402#216—32no—
403#216—61no—
404#216C2×C3×D312yes—
405#215—32no—
406#214C2×C3×D312yes—
407#213—32no—
408#213—61no—
409C2×C3⋊C8—32no—
410Dic12—32no—
411Dic12C2×C3×D312yes—
412#204—32no—
413#204—32no—
414#204—61no—
415ΓL(1,𝔽25)—32no—
416ΓL(1,𝔽25)C2×C3×D312yes—
417D3×C8—32no—
418D3×C8—32no—
419D3×C8—61no—
420C22×C32—22no—
421C22×C32—21no—
422C22×C32—32no—
423C22×C32—42no—
424C22×C32—41no—
425C22×C32—81no—
426C2×C3⋊D3—21no—
427C2×C3⋊D3C2×C3×D411yescharacteristic
428C2×C3×D3—22no—
429C2×C3×D3—32no—
430C2×C3×D3—61no—
431C2×C3×D3—62no—
432C2×C3×D3—121no—
433C2×C3×D3D3×D412yes—
434C2×C3×D3C2×C3×D412yes—
435C32×C4—22no—
436C32×C4—21no—
437C32×C4—21no—
438C32×C4—22no—
439C32×C4—32no—
440C32×C4—41no—
441C32×C4—42no—
442C32×C4—41no—
443C32×C4—62no—
444C32×C4—62no—
445C32×C4—81no—
446C32×C4C23×D312yes—
447C32×C4C24×C311yescharacteristic
448C3⋊Dic3—21no—
449C3⋊Dic3C2×C3×D411yescharacteristic
450C3×Dic3—22no—
451C3×Dic3—22no—
452C3×Dic3—22no—
453C3×Dic3—22no—
454C3×Dic3—22no—
455C3×Dic3—32no—
456C3×Dic3—42no—
457C3×Dic3—42no—
458C3×Dic3—61no—
459C3×Dic3—62no—
460C3×Dic3—121no—
461C3×Dic3D3×D412yes—
462C3×Dic3C2×C3×D412yes—
4632−1+4—91no—
4642−1+4—91no—
465#137—32no—
466#137—92no—
467#137—91no—
468#137—91no—
469#135—92no—
470#135—91no—
471C2×Q16—91no—
472C2×Q16—92no—
473#131—91no—
474C33#57811yescharacteristic, complemented, Sylow
475C3×Q8—22no—
476C3×Q8—21no—
477C3×Q8—32no—
478C3×Q8—32no—
479C3×Q8—32no—
480C3×Q8—32no—
481C3×Q8—41no—
482C3×Q8—62no—
483C3×Q8—62no—
484C3×Q8—62no—
485C3×Q8—62no—
486C3×Q8—91no—
487C3×Q8—91no—
488C3×Q8—122no—
489C3×Q8—182no—
490C3×Q8—181no—
491C3×Q8—181no—
492C3×Q8C2×D3211yescharacteristic
493C3×Q8C22×C3×D312yes—
494C3×D4—22no—
495C3×D4—21no—
496C3×D4—41no—
497C3×D4—62no—
498C3×D4—62no—
499C3×D4—92no—
500C3×D4—91no—
501C3×D4—91no—
502C3×D4—122no—
503C3×D4—181no—
504C3×D4—182no—
505C3×D4—181no—
506C3×D4C2×D3211yescharacteristic
507C3×D4C22×C3×D312yes—
508C2×C3×C4—32no—
509C2×C3×C4—32no—
510C2×C3×C4—62no—
511C2×C3×C4—62no—
512C2×C3×C4—62no—
513C2×C3×C4—62no—
514C2×C3×C4—62no—
515C2×C3×C4—91no—
516C2×C3×C4—122no—
517C2×C3×C4—122no—
518C2×C3×C4—181no—
519C2×C3×C4—182no—
520C2×C3×C4—181no—
521C2×C3×C4—181no—
522C2×C3×C4—182no—
523C2×C3×C4—181no—
524#67—22no—
525#67—32no—
526#67—32no—
527#67—62no—
528#67—62no—
529#67—121no—
530C2×Dic3—22no—
531C2×Dic3—62no—
532C2×Dic3—62no—
533C2×Dic3—121no—
534D12—32no—
535D12—32no—
536D12—61no—
537D12—62no—
538D12—62no—
539D12—121no—
540C4×D3—22no—
541C4×D3—32no—
542C4×D3—61no—
543C4×D3—62no—
544C4×D3—62no—
545C4×D3—62no—
546C4×D3—62no—
547C4×D3—62no—
548C4×D3—62no—
549C4×D3—121no—
550C4×D3C22×C3×D312yes—
551Dic6—22no—
552Dic6—32no—
553Dic6—32no—
554Dic6—61no—
555Dic6—62no—
556Dic6—62no—
557Dic6—62no—
558Dic6—62no—
559Dic6C22×C3×D312yes—
560Dic6C22×C3×D312yes—
561C3×C8—22no—
562C3×C8—21no—
563C3×C8—32no—
564C3×C8—32no—
565C3×C8—41no—
566C3×C8—62no—
567C3×C8—91no—
568C3×C8C2×D3211yescharacteristic
569C3×C8C22×C3×D312yes—
570C3⋊C8—32no—
571C3⋊C8—61no—
572C3⋊C8C22×C3×D312yes—
573C2×C32—21no—
574C2×C32—22no—
575C2×C32—41no—
576C2×C32—41no—
577C2×C32—42no—
578C2×C32—62no—
579C2×C32—82no—
580C2×C32—81no—
581C2×C32—161no—
582C2×C32C2×D3×D412yes—
583C2×C32C22×C3×D411yescharacteristic
584C3⋊D3—21no—
585C3⋊D3—41no—
586C3×D3—22no—
587C3×D3—22no—
588C3×D3—42no—
589C3×D3—62no—
590C3×D3—121no—
591C3×D3—122no—
592C3×D3—241no—
593#41—32no—
594#41—91no—
595#41—92no—
596#41—91no—
597#41—91no—
598#41—181no—
599#41—182no—
600#41—182no—
601#41—181no—
602C2×Q8—32no—
603C2×Q8—92no—
604C2×Q8—91no—
605C2×Q8—91no—
606C2×Q8—181no—
607C2×Q8—181no—
608Q16—32no—
609Q16—32no—
610Q16—92no—
611Q16—92no—
612Q16—91no—
613SD16—32no—
614SD16—92no—
615SD16—91no—
616SD16C3×D3211yescharacteristic
617D8—91no—
618M16—32no—
619M16—91no—
620C2×C8—92no—
621C2×C8—91no—
622C22×C3—21no—
623C22×C3—22no—
624C22×C3—32no—
625C22×C3—32no—
626C22×C3—41no—
627C22×C3—42no—
628C22×C3—62no—
629C22×C3—81no—
630C22×C3—91no—
631C22×C3—181no—
632C2×D3—32no—
633C2×D3—61no—
634C2×D3—62no—
635C2×D3—121no—
636C2×D3C3×D3×D412yes—
637C3×C4—21no—
638C3×C4—22no—
639C3×C4—21no—
640C3×C4—22no—
641C3×C4—32no—
642C3×C4—32no—
643C3×C4—41no—
644C3×C4—42no—
645C3×C4—41no—
646C3×C4—62no—
647C3×C4—62no—
648C3×C4—62no—
649C3×C4—62no—
650C3×C4—62no—
651C3×C4—81no—
652C3×C4—91no—
653C3×C4—122no—
654C3×C4—122no—
655C3×C4—181no—
656C3×C4C22×D3211yescharacteristic
657C3×C4C23×C3×D312yes—
658Dic3—22no—
659Dic3—22no—
660Dic3—32no—
661Dic3—61no—
662Dic3—62no—
663Dic3—121no—
664Dic3C3×D3×D412yes—
665C32—22no—
666C32—21no—
667C32—41no—
668C32#577912yescomplemented
669C32C3×#57811yescharacteristic, complemented
670Q8—32no—
671Q8—32no—
672Q8—62no—
673Q8—91no—
674Q8—91no—
675Q8—182no—
676Q8—181no—
677Q8—181no—
678Q8C2×C3×D3211yescharacteristic
679D4—62no—
680D4—92no—
681D4—91no—
682D4—91no—
683D4—181no—
684D4—182no—
685D4—181no—
686D4C2×C3×D3211yescharacteristic
687C2×C4—32no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—91no—
691C2×C4—181no—
692C2×C4—182no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—182no—
696C2×C4—181no—
697C8—32no—
698C8—91no—
699C8C2×C3×D3211yescharacteristic
700C2×C3—21no—
701C2×C3—22no—
702C2×C3—42no—
703C2×C3—41no—
704C2×C3—41no—
705C2×C3—62no—
706C2×C3—62no—
707C2×C3—81no—
708C2×C3—82no—
709C2×C3—122no—
710C2×C3—161no—
711C2×C3—181no—
712C2×C3—361no—
713C2×C3D32×D411yescharacteristic
714C2×C3C2×C3×D3×D412yes—
715D3—22no—
716D3—62no—
717D3—121no—
718D3—122no—
719D3—241no—
720C22—21no—
721C22—32no—
722C22—91no—
723C22—181no—
724C4—21no—
725C4—32no—
726C4—62no—
727C4—62no—
728C4—91no—
729C4—181no—
730C4C22×C3×D3211yescharacteristic
731C3—21no—
732C3—22no—
733C3—41no—
734C3#1059475211yescharacteristic, direct product factor
735C3C3×#577912yescomplemented
736C2—41no—
737C2—62no—
738C2—181no—
739C2—361no—
740C2C3×D32×D411yescharacteristic
subgroupG/H
centerC2×C3D32×D4
commutator, cosocleC32×C4C24×C3
FrattiniC4C22×C3×D32
FittingC33×SD16C22
socleC2×C33C22×D4
hypercenterC3×SD16D32
hypocenterC32C3×#578
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3 ◁ C3×C4 ◁ C3×SD16

Complements

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

NH ≅ G/Ntype
1. C3×#64316C2semidirect
2. C3×#64309C2semidirect
3. C3×#64125C2semidirect
4. C32×#915C2semidirect
5. C3×#63945C2semidirect
6. C3×D3×#216C2semidirect
7. C3×#63935C2semidirect
8. C3×#63931C2semidirect
9. C3×#63805C2semidirect
10. C3×#63802C2semidirect
11. C3×#63801C2semidirect
13. #10594752C3direct (N × H)
45. #64316C2×C3semidirect
46. #64309C2×C3semidirect
48. #64125C2×C3semidirect
60. C3×#915D3semidirect
61. C3×#915C2×C3semidirect
64. #63945C2×C3semidirect
65. D3×#216C2×C3semidirect
66. #63935C2×C3semidirect
67. #63931C2×C3semidirect
68. #63805C2×C3semidirect
69. #63802C2×C3semidirect
70. #63801C2×C3semidirect
226. #915C3×D3semidirect
474. C33#578semidirect
668. C32#5779semidirect
669. C32C3×#578semidirect
734. C3#10594752direct (N × H)
735. C3C3×#5779semidirect

Maximal subgroups

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

subgroupindex
C3×#643162
C3×#643092
C3×#641252
C32×#9152
C3×#639452
C3×D3×#2162
C3×#639352
C3×#639312
C3×#638052
C3×#638022
C3×#638012
C3×#57793
#105947523