Finite Group Databasebeta

← #13178297

Subgroups — #13178297

Order 1728.

994 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64106C211yesmaximal, characteristic
2C3×#64099C211yesmaximal, characteristic, complemented
3C3×#64096C211yesmaximal, characteristic, complemented
4#11723680C212yesmaximal, complemented
5#11723678C211yesmaximal, characteristic, complemented
6#11723676C212yesmaximal
7#11723675C212yesmaximal
8#11723674C211yesmaximal, characteristic
9#11723673C211yesmaximal, characteristic
10#11723669C212yesmaximal, complemented
11#11723668C211yesmaximal, characteristic, complemented
12#10594355—31nomaximal
13#10594346—31nomaximal
14#10594345—31nomaximal
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×C3×#634C2211yescharacteristic
17C2×C3×#634C2211yescharacteristic
18C33×C4⋊C4C2211yescharacteristic
19C3×#3752C2212yes—
20C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C3×C4⋊(C3⋊Dic3)C2212yes—
22C3×C4⋊(C3⋊Dic3)C2212yes—
23C3×#3750C2212yes—
24C3×#3750C2212yes—
25C3×C4×C3⋊Dic3C2211yescharacteristic
26C3×C4×C3⋊Dic3C2212yes—
27C3×C4×C3⋊Dic3C2211yescharacteristic
28#88815C2212yes—
29#88815C2211yescharacteristic
30#88815C2212yes—
31#88815C2212yes—
32#88815C2211yescharacteristic
33#88815C2212yes—
34#88814C2211yescharacteristic
35#88814C2211yescharacteristic
36#88814C2212yes—
37#88813C2212yes—
38#64106D311yescharacteristic
39#64099D311yescharacteristic, complemented
40#64096D311yescharacteristic, complemented
41C3×#897—31no—
42C3×#897—31no—
43C3×#897—61no—
44C3×#890—31no—
45C3×#890—31no—
46C3×#890—61no—
47C3×#887—31no—
48C3×#887—31no—
49C3×#887—61no—
50#63874—31no—
51#63873—31no—
52#63872—32no—
53#63871—31no—
54#63869—32no—
55#63869—32no—
56#63868—32no—
57#63866—31no—
58#63866—31no—
59#63862—32no—
60#63861—32no—
61#63859—32no—
62#63858—32no—
63#63857—31no—
64#63856—31no—
65#63855—31no—
66#63855—31no—
67#63848—32no—
68#63847—32no—
69#63846—32no—
70#63845—32no—
71#63844—31no—
72#63843—31no—
73Dic3×Dic6—31no—
74C22×C3×C3⋊D3C2311yescharacteristic
75C2×C33×C4C2312yes—
76C2×C33×C4C2311yescharacteristic
77C2×C3×C3⋊Dic3C2311yescharacteristic
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C2×C3×C3⋊Dic3C2311yescharacteristic
80C2×C3×C3⋊Dic3C2312yes—
81C2×C3×C3⋊Dic3C2311yescharacteristic
82C2×C3×C3⋊Dic3C2312yes—
83C2×C3×C3⋊Dic3C2311yescharacteristic
84C2×C3×C3⋊Dic3C2312yes—
85C3×C4×C3⋊D3—22no—
86C3×#634—22no—
87C3×#634—22no—
88#5698—91no—
89#5625—91no—
90#5583—91no—
91C2×C4×C3⋊D3C2×D311yescharacteristic
92C2×#634C2×D311yescharacteristic
93C2×#634C2×D311yescharacteristic
94C2×C3×C4×D3—31no—
95C2×C3×C4×D3—31no—
96C2×C3×C4×D3—61no—
97C2×C3×Dic6—31no—
98C2×C3×Dic6—31no—
99C2×C3×Dic6—31no—
100C2×C3×Dic6—31no—
101C2×C3×Dic6—61no—
102C2×C3×Dic6—61no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4—41no—
107C32×C4⋊C4C2×D311yescharacteristic
108C32×C4⋊C4C2×D311yescharacteristic
109C32×C4⋊C4C2×D311yescharacteristic
110#3752C2×D312yes—
111C4⋊(C3⋊Dic3)C2×D311yescharacteristic
112C4⋊(C3⋊Dic3)C2×D312yes—
113C4⋊(C3⋊Dic3)C2×D312yes—
114#3750C2×D312yes—
115#3750C2×D312yes—
116C4×C3⋊Dic3C2×D311yescharacteristic
117C4×C3⋊Dic3C2×D312yes—
118C4×C3⋊Dic3C2×D311yescharacteristic
119C3×(C2×D3)⋊C4—32no—
120C3×(C2×D3)⋊C4—32no—
121C3×(C2×D3)⋊C4—62no—
122C3×C4⋊Dic3—31no—
123C3×C4⋊Dic3—31no—
124C3×C4⋊Dic3—32no—
125C3×C4⋊Dic3—32no—
126C3×C4⋊Dic3—32no—
127C3×C4⋊Dic3—32no—
128C3×C4⋊Dic3—62no—
129C3×C4⋊Dic3—61no—
130C3×C4⋊Dic3—62no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—32no—
135C3×Dic3⋊C4—62no—
136C3×Dic3⋊C4—62no—
137C3×C4×Dic3—31no—
138C3×C4×Dic3—31no—
139C3×C4×Dic3—32no—
140C3×C4×Dic3—32no—
141C3×C4×Dic3—31no—
142C3×C4×Dic3—31no—
143C3×C4×Dic3—62no—
144C3×C4×Dic3—61no—
145C3×C4×Dic3—61no—
146#3724—32no—
147#3724—31no—
148#3724—32no—
149#3724—32no—
150#3724—32no—
151#3724—31no—
152Dic3⋊Dic3—32no—
153Dic3⋊Dic3—32no—
154Dic3⋊Dic3—32no—
155Dic3⋊Dic3—32no—
156Dic3⋊Dic3—31no—
157Dic3⋊Dic3—32no—
158Dic3⋊Dic3—32no—
159Dic3⋊Dic3—31no—
160Dic3⋊Dic3—32no—
161Dic3⋊Dic3—31no—
162Dic3⋊Dic3—31no—
163Dic3⋊Dic3—32no—
164#3722—31no—
165#3722—32no—
166#3722—31no—
167(C2×D3)⋊Dic3—31no—
168(C2×D3)⋊Dic3—31no—
169(C2×D3)⋊Dic3—31no—
170(C2×D3)⋊Dic3—31no—
171(C2×D3)⋊Dic3—32no—
172(C2×D3)⋊Dic3—32no—
173Dic32—32no—
174Dic32—32no—
175Dic32—32no—
176C22×C33C2411yescharacteristic
177C2×C3×C3⋊D3—21no—
178C2×C3×C3⋊D3—21no—
179C2×C3×C3⋊D3—21no—
180C33×C4—22no—
181C33×C4#4112yes—
182C3×C3⋊Dic3—22no—
183C3×C3⋊Dic3—22no—
184C3×C3⋊Dic3—21no—
185C3×C3⋊Dic3—21no—
186C3×C3⋊Dic3—21no—
187C3×C3⋊Dic3—22no—
188C3×C3⋊Dic3—21no—
189C3×C3⋊Dic3—21no—
190C3×#125—91no—
191C3×C22⋊Q8—91no—
192C3×C4×Q8—91no—
193#946—91no—
194Q8×Dic3—91no—
195#944—91no—
196#944—91no—
197#926—91no—
198#924—91no—
199#898—92no—
200#898—92no—
201#898—92no—
202#897—31no—
203#897—31no—
204#897—61no—
205#897—91no—
206#890—31no—
207#890—31no—
208#890—61no—
209#890—92no—
210#890—92no—
211#890—92no—
212#889—92no—
213#889—92no—
214#887—31no—
215#887—31no—
216#887—61no—
217#887—91no—
218#879—92no—
219#879—92no—
220#876—92no—
221#872—91no—
222#872—91no—
223#870—92no—
224#869—91no—
225C4×Dic6—91no—
226C22×C3⋊D3C22×D311yescharacteristic
227C22×C3×D3—31no—
228C22×C3×D3—31no—
229C22×C3×D3—61no—
230C2×C32×C4—21no—
231C2×C32×C4—21no—
232C2×C32×C4—21no—
233C2×C32×C4—22no—
234C2×C32×C4—22no—
235C2×C32×C4—22no—
236C2×C32×C4—41no—
237C2×C32×C4—42no—
238C2×C32×C4C22×D312yes—
239C2×C32×C4C22×D312yes—
240C2×C32×C4C22×D312yes—
241C2×C32×C4C22×D311yescharacteristic
242C2×C32×C4C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C3⋊Dic3C22×D311yescharacteristic
245C2×C3⋊Dic3C22×D312yes—
246C2×C3⋊Dic3C22×D312yes—
247C2×C3⋊Dic3C22×D311yescharacteristic
248C2×C3⋊Dic3C22×D312yes—
249C2×C3⋊Dic3C22×D311yescharacteristic
250C2×C3⋊Dic3C22×D311yescharacteristic
251C2×C3⋊Dic3C22×D311yescharacteristic
252C4×C3⋊D3—22no—
253#634—22no—
254#634—22no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3—32no—
258C2×C3×Dic3—32no—
259C2×C3×Dic3—32no—
260C2×C3×Dic3—32no—
261C2×C3×Dic3—31no—
262C2×C3×Dic3—31no—
263C2×C3×Dic3—31no—
264C2×C3×Dic3—32no—
265C2×C3×Dic3—32no—
266C2×C3×Dic3—31no—
267C2×C3×Dic3—31no—
268C2×C3×Dic3—31no—
269C2×C3×Dic3—31no—
270C2×C3×Dic3—31no—
271C2×C3×Dic3—61no—
272C2×C3×Dic3—62no—
273C2×C3×Dic3—61no—
274C2×C3×Dic3—61no—
275C2×C3×Dic3—61no—
276C2×C3×Dic3—62no—
277C2×C3×Dic3—61no—
278C2×C3×Dic3—62no—
279C3×C4×D3—62no—
280C3×C4×D3—62no—
281C3×C4×D3—122no—
282C3×Dic6—64no—
283C3×Dic6—62no—
284C3×Dic6—62no—
285C3×Dic6—62no—
286C3×Dic6—62no—
287C3×Dic6—122no—
288#541—271noSylow
289C2×C33C2×#4111yescharacteristic
290C2×C332−1+411yescharacteristic
291C2×C332−1+411yescharacteristic
292C3×C3⋊D3—41no—
293C2×C3×Q8—91no—
294C2×C3×Q8—91no—
295C22×C3×C4—91no—
296C2×C4×D3—31no—
297C2×C4×D3—31no—
298C2×C4×D3—61no—
299C2×Dic6—31no—
300C2×Dic6—31no—
301C2×Dic6—31no—
302C2×Dic6—31no—
303C2×Dic6—61no—
304C2×Dic6—61no—
305C3×C4⋊C4—21no—
306C3×C4⋊C4—21no—
307C3×C4⋊C4—21no—
308C3×C4⋊C4—41no—
309C3×C4⋊C4—91no—
310C3×C4⋊C4—92no—
311C3×C4⋊C4—92no—
312C3×C4⋊C4—92no—
313C3×C4⋊C4—92no—
314C3×C4⋊C4D3211yescharacteristic
315C3×C4⋊C4D3211yescharacteristic
316C3×C4⋊C4D3211yescharacteristic
317C3×C22⋊C4—92no—
318C3×C42—91no—
319C3×C42—91no—
320C3×C42—92no—
321#217—92no—
322#217—91no—
323#217—91no—
324(C2×D3)⋊C4—32no—
325(C2×D3)⋊C4—32no—
326(C2×D3)⋊C4—62no—
327(C2×D3)⋊C4—91no—
328(C2×D3)⋊C4—91no—
329(C2×D3)⋊C4—91no—
330(C2×D3)⋊C4—91no—
331(C2×D3)⋊C4—92no—
332(C2×D3)⋊C4—92no—
333C4⋊Dic3—31no—
334C4⋊Dic3—32no—
335C4⋊Dic3—32no—
336C4⋊Dic3—32no—
337C4⋊Dic3—31no—
338C4⋊Dic3—32no—
339C4⋊Dic3—61no—
340C4⋊Dic3—62no—
341C4⋊Dic3—62no—
342C4⋊Dic3—92no—
343C4⋊Dic3—92no—
344C4⋊Dic3—92no—
345C4⋊Dic3—91no—
346C4⋊Dic3—92no—
347C4⋊Dic3—91no—
348Dic3⋊C4—32no—
349Dic3⋊C4—32no—
350Dic3⋊C4—32no—
351Dic3⋊C4—32no—
352Dic3⋊C4—62no—
353Dic3⋊C4—62no—
354Dic3⋊C4—92no—
355Dic3⋊C4—91no—
356Dic3⋊C4—92no—
357Dic3⋊C4—92no—
358Dic3⋊C4—91no—
359Dic3⋊C4—91no—
360Dic3⋊C4—91no—
361Dic3⋊C4—92no—
362Dic3⋊C4—92no—
363Dic3⋊C4—92no—
364Dic3⋊C4—92no—
365Dic3⋊C4—92no—
366C4×Dic3—31no—
367C4×Dic3—31no—
368C4×Dic3—32no—
369C4×Dic3—32no—
370C4×Dic3—31no—
371C4×Dic3—31no—
372C4×Dic3—61no—
373C4×Dic3—62no—
374C4×Dic3—61no—
375C4×Dic3—92no—
376C4×Dic3—92no—
377C4×Dic3—92no—
378C22×C32—21no—
379C22×C32—21no—
380C22×C32—21no—
381C22×C32—41no—
382C22×C32C23×D311yescharacteristic
383C22×C32C23×D311yescharacteristic
384C22×C32C23×D311yescharacteristic
385C2×C3⋊D3—21no—
386C2×C3⋊D3—21no—
387C2×C3⋊D3—21no—
388C2×C3×D3—62no—
389C2×C3×D3—61no—
390C2×C3×D3—61no—
391C2×C3×D3—61no—
392C2×C3×D3—61no—
393C2×C3×D3—61no—
394C2×C3×D3—61no—
395C2×C3×D3—121no—
396C2×C3×D3—121no—
397C32×C4—22no—
398C32×C4—22no—
399C32×C4—22no—
400C32×C4—22no—
401C32×C4—22no—
402C32×C4—22no—
403C32×C4—42no—
404C32×C4—42no—
405C32×C4—42no—
406C32×C4—42no—
407C32×C4—82no—
408C32×C4#23512yes—
409C32×C4#23712yes—
410C32×C4#23912yes—
411C3⋊Dic3—22no—
412C3⋊Dic3—21no—
413C3⋊Dic3—22no—
414C3⋊Dic3—21no—
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—22no—
418C3⋊Dic3—21no—
419C3×Dic3—64no—
420C3×Dic3—62no—
421C3×Dic3—62no—
422C3×Dic3—61no—
423C3×Dic3—62no—
424C3×Dic3—62no—
425C3×Dic3—62no—
426C3×Dic3—61no—
427C3×Dic3—62no—
428C3×Dic3—61no—
429C3×Dic3—62no—
430C3×Dic3—61no—
431C3×Dic3—61no—
432C3×Dic3—61no—
433C3×Dic3—61no—
434C3×Dic3—61no—
435C3×Dic3—61no—
436C3×Dic3—61no—
437C3×Dic3—122no—
438C3×Dic3—121no—
439C3×Dic3—121no—
440C3×Dic3—121no—
441C3×Dic3—121no—
442C3×Dic3—122no—
443C4⋊Q8—271no—
444#126—272no—
445#126—272no—
446#125—91no—
447#125—272no—
448#125—272no—
449C22⋊Q8—91no—
450C22⋊Q8—271no—
451C4×Q8—91no—
452C4×Q8—271no—
453#117—271no—
454C33#54111yescharacteristic, complemented, Sylow
455C23×C3—91no—
456C22×D3—31no—
457C22×D3—31no—
458C22×D3—61no—
459C3×Q8—182no—
460C3×Q8—182no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—41no—
468C2×C3×C4—42no—
469C2×C3×C4—91no—
470C2×C3×C4—92no—
471C2×C3×C4—92no—
472C2×C3×C4—91no—
473C2×C3×C4—92no—
474C2×C3×C4—91no—
475C2×C3×C4—91no—
476C2×C3×C4—91no—
477C2×C3×C4—182no—
478C2×C3×C4C2×D3212yes—
479C2×C3×C4C2×D3212yes—
480C2×C3×C4C2×D3212yes—
481C2×C3×C4C2×D3211yescharacteristic
482C2×C3×C4C2×D3211yescharacteristic
483C2×C3×C4C2×D3211yescharacteristic
484C2×Dic3—31no—
485C2×Dic3—31no—
486C2×Dic3—31no—
487C2×Dic3—31no—
488C2×Dic3—31no—
489C2×Dic3—31no—
490C2×Dic3—32no—
491C2×Dic3—32no—
492C2×Dic3—31no—
493C2×Dic3—31no—
494C2×Dic3—32no—
495C2×Dic3—32no—
496C2×Dic3—32no—
497C2×Dic3—32no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—61no—
501C2×Dic3—62no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—62no—
506C2×Dic3—61no—
507C2×Dic3—62no—
508C4×D3—62no—
509C4×D3—62no—
510C4×D3—122no—
511Dic6—64no—
512Dic6—62no—
513Dic6—62no—
514Dic6—62no—
515Dic6—62no—
516Dic6—122no—
517C2×C32—21no—
518C2×C32—21no—
519C2×C32—21no—
520C2×C32—21no—
521C2×C32—21no—
522C2×C32—21no—
523C2×C32—21no—
524C2×C32—21no—
525C2×C32—21no—
526C2×C32—41no—
527C2×C32—41no—
528C2×C32—41no—
529C2×C32C2×#23511yescharacteristic
530C2×C32C2×#23711yescharacteristic
531C2×C32C2×#23911yescharacteristic
532C2×C32#100711yescharacteristic
533C2×C32#100711yescharacteristic
534C2×C32#101011yescharacteristic
535C2×C32#101011yescharacteristic
536C2×C32#101011yescharacteristic
537C2×C32#101011yescharacteristic
538C3⋊D3—41no—
539C3×D3—122no—
540C3×D3—121no—
541C3×D3—121no—
542C2×Q8—91no—
543C2×Q8—91no—
544C22×C4—91no—
545C4⋊C4—92no—
546C4⋊C4—91no—
547C4⋊C4—92no—
548C4⋊C4—92no—
549C4⋊C4—92no—
550C4⋊C4—271no—
551C4⋊C4—271no—
552C4⋊C4—272no—
553C4⋊C4—272no—
554C4⋊C4—272no—
555C4⋊C4—272no—
556C4⋊C4#111311yescharacteristic
557C22⋊C4—92no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C22⋊C4—272no—
561C42—91no—
562C42—91no—
563C42—92no—
564C42—272no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—41no—
569C22×C3—181no—
570C22×C3—181no—
571C22×C3—181no—
572C22×C3C22×D3211yescharacteristic
573C22×C3C22×D3211yescharacteristic
574C22×C3C22×D3211yescharacteristic
575C2×D3—62no—
576C2×D3—61no—
577C2×D3—61no—
578C2×D3—61no—
579C2×D3—61no—
580C2×D3—61no—
581C2×D3—61no—
582C2×D3—121no—
583C2×D3—121no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—22no—
587C3×C4—22no—
588C3×C4—22no—
589C3×C4—22no—
590C3×C4—42no—
591C3×C4—42no—
592C3×C4—42no—
593C3×C4—42no—
594C3×C4—82no—
595C3×C4—182no—
596C3×C4—181no—
597C3×C4—182no—
598C3×C4—181no—
599C3×C4—181no—
600C3×C4—181no—
601C3×C4—182no—
602C3×C4—181no—
603C3×C4#379512yes—
604C3×C4#379612yes—
605C3×C4#379912yes—
606Dic3—64no—
607Dic3—62no—
608Dic3—62no—
609Dic3—62no—
610Dic3—61no—
611Dic3—62no—
612Dic3—61no—
613Dic3—62no—
614Dic3—61no—
615Dic3—61no—
616Dic3—61no—
617Dic3—61no—
618Dic3—61no—
619Dic3—61no—
620Dic3—62no—
621Dic3—61no—
622Dic3—62no—
623Dic3—61no—
624Dic3—122no—
625Dic3—121no—
626Dic3—121no—
627Dic3—121no—
628Dic3—121no—
629Dic3—122no—
630C32—21no—
631C32—21no—
632C32—21no—
633C32—41no—
634C32#558311yescharacteristic, complemented
635C32#562511yescharacteristic, complemented
636C32#569811yescharacteristic, complemented
637C23—91no—
638Q8—182no—
639Q8—182no—
640C2×C4—91no—
641C2×C4—91no—
642C2×C4—91no—
643C2×C4—91no—
644C2×C4—92no—
645C2×C4—92no—
646C2×C4—92no—
647C2×C4—91no—
648C2×C4—182no—
649C2×C4C2×#111312yes—
650C2×C4C2×#111311yescharacteristic
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—21no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—41no—
661C2×C3—41no—
662C2×C3—41no—
663C2×C3—361no—
664C2×C3C2×#379511yescharacteristic
665C2×C3C2×#379611yescharacteristic
666C2×C3C2×#379911yescharacteristic
667C2×C3#6430911yescharacteristic
668C2×C3#6430911yescharacteristic
669C2×C3#6430911yescharacteristic
670C2×C3#6431511yescharacteristic
671C2×C3#6431511yescharacteristic
672C2×C3#6431611yescharacteristic
673D3—122no—
674D3—121no—
675D3—121no—
676C22—181no—
677C22—181no—
678C22—181no—
679C22C22×#111311yescharacteristic
680C4—22no—
681C4—181no—
682C4—182no—
683C4—182no—
684C4—181no—
685C4—181no—
686C4—181no—
687C4—181no—
688C4—182no—
689C4#8904112yes—
690C3—21no—
691C3—21no—
692C3—21no—
693C3—41no—
694C3#1059434511yescharacteristic, complemented
695C3#1059434611yescharacteristic, complemented
696C3#1059435511yescharacteristic, complemented
697C2—361no—
698C2C2×#8904111yescharacteristic
699C2#1172462011yescharacteristic
700C2#1172462411yescharacteristic
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC33×C4⋊C4C22
prime radicalC22×C3×C3⋊D3C23
hypercenterC4⋊C4#1113
hypocenterC33#541
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C3×#64099C2semidirect
3. C3×#64096C2semidirect
4. #11723680C2semidirect
5. #11723678C2semidirect
10. #11723669C2semidirect
11. #11723668C2semidirect
39. #64099D3semidirect
40. #64096D3semidirect
454. C33#541semidirect
634. C32#5583semidirect
635. C32#5625semidirect
636. C32#5698semidirect
694. C3#10594345semidirect
695. C3#10594346semidirect
696. C3#10594355semidirect

Maximal subgroups

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

subgroupindex
C3×#641062
C3×#640992
C3×#640962
#117236802
#117236782
#117236762
#117236752
#117236742
#117236732
#117236692
#117236682
#105943553
#105943463
#105943453