Finite Group Databasebeta

← #13169384

Subgroups — #13169384

Order 1728.

1026 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723680C211yesmaximal, characteristic
2C4×#6293C211yesmaximal, characteristic
3#11723450C211yesmaximal, characteristic
4#11723397C211yesmaximal, characteristic
5C3×#63918C211yesmaximal, characteristic
6C3×#63843C211yesmaximal, characteristic
7C3×Dic3×Dic6C211yesmaximal, characteristic
8#11723033C212yesmaximal
9#11723013C212yesmaximal
10#11723012C212yesmaximal
11Dic3×#627C212yesmaximal
12#10595422—31nomaximal
13#10594317—31nomaximal
14#10593861—31nomaximal
15C2×C32×Dic6C2211yescharacteristic
16C2×#6293C2211yescharacteristic
17C2×C3×#627C2212yes—
18C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
19C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C3×C4×C3⋊Dic3C2211yescharacteristic
22C32×C4⋊Dic3C2211yescharacteristic
23C32×C4×Dic3C2211yescharacteristic
24#88815C2212yes—
25#88815C2212yes—
26#88807C2212yes—
27#88807C2211yescharacteristic
28#88806C2211yescharacteristic
29Dic3⋊(C3⋊Dic3)C2212yes—
30Dic3⋊(C3⋊Dic3)C2212yes—
31Dic3⋊(C3⋊Dic3)C2211yescharacteristic
32Dic3×C3⋊Dic3C2212yes—
33C3×Dic3⋊Dic3C2212yes—
34C3×Dic3⋊Dic3C2212yes—
35C3×Dic3⋊Dic3C2212yes—
36C3×Dic32C2212yes—
37C3×Dic32C2212yes—
38Q8×C3⋊Dic3—31no—
39#64099—31no—
40C4×#634—31no—
41C3×Q8×Dic3—31no—
42C3×Q8×Dic3—31no—
43C3×#888—31no—
44C3×#887—31no—
45C3×#869—31no—
46C3×C4×Dic6—31no—
47#63918—32no—
48#63918D311yescharacteristic
49C4×#627—32no—
50C4×#627—31no—
51C4×#627—31no—
52C4×#627—61no—
53#63872—31no—
54#63872—31no—
55#63872—31no—
56#63872—32no—
57#63872—61no—
58#63869—31no—
59#63869—31no—
60#63869—32no—
61#63867—32no—
62#63866—32no—
63#63846—32no—
64#63846—32no—
65#63845—32no—
66#63843—31no—
67#63843—31no—
68#63843—61no—
69#63843D311yescharacteristic
70Dic3×Dic6—32no—
71Dic3×Dic6—32no—
72Dic3×Dic6D311yescharacteristic
73#63839—32no—
74C2×C33×C4C2311yescharacteristic
75C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
76C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
77C2×C3×C3⋊Dic3C2311yescharacteristic
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C2×C3×C3⋊Dic3C2312yes—
80C2×C3×C3⋊Dic3C2312yes—
81C2×C32×Dic3C2312yes—
82C2×C32×Dic3C2311yescharacteristic
83C2×C32×Dic3C2312yes—
84C2×C32×Dic3C2311yescharacteristic
85C32×Dic6Q814yescomplemented
86#6293—22no—
87C3×#627—24no—
88#5721—91no—
89#5570—91no—
90#5569—91no—
91C2×C32×Q8—31no—
92C2×#634—31no—
93C2×C3×Dic6—21no—
94C2×C3×Dic6—32no—
95C2×C3×Dic6—32no—
96C2×C3×Dic6C2×D311yescharacteristic
97C2×C3×Dic6C2×D311yescharacteristic
98C2×#627—31no—
99C2×#627—31no—
100C2×#627—61no—
101C2×#627C2×D312yes—
102C32×C4⋊C4—31no—
103C32×C42—31no—
104C4⋊(C3⋊Dic3)—31no—
105C4⋊(C3⋊Dic3)—32no—
106C4⋊(C3⋊Dic3)—32no—
107C4⋊(C3⋊Dic3)C2×D311yescharacteristic
108C4⋊(C3⋊Dic3)C2×D311yescharacteristic
109#3750—31no—
110#3750—31no—
111#3750—32no—
112C4×C3⋊Dic3—31no—
113C4×C3⋊Dic3—31no—
114C4×C3⋊Dic3—31no—
115C4×C3⋊Dic3—32no—
116C4×C3⋊Dic3—61no—
117C4×C3⋊Dic3—61no—
118C4×C3⋊Dic3—61no—
119C4×C3⋊Dic3—121no—
120C4×C3⋊Dic3C2×D311yescharacteristic
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3—31no—
123C3×C4⋊Dic3—31no—
124C3×C4⋊Dic3—31no—
125C3×C4⋊Dic3—31no—
126C3×C4⋊Dic3—32no—
127C3×C4⋊Dic3—32no—
128C3×C4⋊Dic3—32no—
129C3×C4⋊Dic3—61no—
130C3×C4⋊Dic3—61no—
131C3×C4⋊Dic3C2×D311yescharacteristic
132C3×C4⋊Dic3C2×D311yescharacteristic
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—32no—
135C3×Dic3⋊C4—32no—
136C3×C4×Dic3—21no—
137C3×C4×Dic3—31no—
138C3×C4×Dic3—31no—
139C3×C4×Dic3—32no—
140C3×C4×Dic3—32no—
141C3×C4×Dic3—32no—
142C3×C4×Dic3—32no—
143C3×C4×Dic3—61no—
144C3×C4×Dic3C2×D311yescharacteristic
145C3×C4×Dic3C2×D311yescharacteristic
146#3724—32no—
147#3724—32no—
148#3724—31no—
149#3724—31no—
150#3724—61no—
151Dic3⋊Dic3—32no—
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—32no—
162Dic3⋊Dic3—32no—
163Dic3⋊Dic3—31no—
164Dic3⋊Dic3—31no—
165Dic3⋊Dic3—62no—
166Dic3⋊Dic3—62no—
167Dic3⋊Dic3—61no—
168Dic3⋊Dic3—62no—
169Dic3⋊Dic3—61no—
170Dic3⋊Dic3C2×D312yes—
171Dic3⋊Dic3C2×D312yes—
172Dic3⋊Dic3C2×D312yes—
173Dic32—32no—
174Dic32—32no—
175Dic32—62no—
176Dic32C2×D312yes—
177Dic32C2×D312yes—
178C22×C33C2411yescharacteristic
179C33×C4C2×Q812yes—
180C3⋊(C3⋊Dic3)—21no—
181C3⋊(C3⋊Dic3)—21no—
182C3×C3⋊Dic3—21no—
183C3×C3⋊Dic3—22no—
184C3×C3⋊Dic3—22no—
185C3×C3⋊Dic3—21no—
186C32×Dic3—22no—
187C32×Dic3—21no—
188C32×Dic3C2×Q814yes—
189C32×Dic3#4112yes—
190C3×C4⋊Q8—91no—
191C3×C4×Q8—91no—
192C3×C4×Q8—91no—
193Q8×Dic3—31no—
194Q8×Dic3—31no—
195Q8×Dic3—92no—
196Q8×Dic3—91no—
197Q8×Dic3—91no—
198Q8×Dic3—181no—
199#944—92no—
200#890—91no—
201#890—92no—
202#890—91no—
203#890—92no—
204#890—92no—
205#890—91no—
206#890—91no—
207#890—91no—
208#890—181no—
209#889—92no—
210#889—92no—
211#888—31no—
212#888—92no—
213#887—31no—
214#887—91no—
215#870—92no—
216#870—91no—
217#869—31no—
218#869—92no—
219C4×Dic6—31no—
220C4×Dic6—91no—
221C4×Dic6—91no—
222C4×Dic6—92no—
223C4×Dic6—92no—
224C4×Dic6—91no—
225C4×Dic6—181no—
226C32×Q8—34no—
227C2×C32×C4—21no—
228C2×C32×C4—21no—
229C2×C32×C4—21no—
230C2×C32×C4—32no—
231C2×C32×C4—31no—
232C2×C32×C4—32no—
233C2×C32×C4—31no—
234C2×C32×C4—41no—
235C2×C32×C4C22×D311yescharacteristic
236C2×C32×C4C22×D311yescharacteristic
237C2×C32×C4C22×D311yescharacteristic
238C2×C3⋊Dic3—31no—
239C2×C3⋊Dic3—31no—
240C2×C3⋊Dic3—31no—
241C2×C3⋊Dic3—31no—
242C2×C3⋊Dic3—31no—
243C2×C3⋊Dic3—31no—
244C2×C3⋊Dic3—61no—
245C2×C3⋊Dic3—61no—
246C2×C3⋊Dic3—61no—
247C2×C3⋊Dic3—61no—
248C2×C3⋊Dic3—61no—
249C2×C3⋊Dic3—61no—
250C2×C3⋊Dic3—121no—
251C2×C3⋊Dic3—121no—
252C2×C3⋊Dic3C22×D311yescharacteristic
253C2×C3⋊Dic3C22×D312yes—
254C2×C3⋊Dic3C22×D311yescharacteristic
255C2×C3⋊Dic3C22×D312yes—
256#634—62no—
257C2×C3×Dic3—22no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—22no—
260C2×C3×Dic3—21no—
261C2×C3×Dic3—32no—
262C2×C3×Dic3—32no—
263C2×C3×Dic3—32no—
264C2×C3×Dic3—31no—
265C2×C3×Dic3—32no—
266C2×C3×Dic3—31no—
267C2×C3×Dic3—31no—
268C2×C3×Dic3—31no—
269C2×C3×Dic3—61no—
270C2×C3×Dic3—62no—
271C2×C3×Dic3—62no—
272C2×C3×Dic3—61no—
273C2×C3×Dic3C22×D312yes—
274C2×C3×Dic3C22×D312yes—
275C2×C3×Dic3C22×D311yescharacteristic
276C2×C3×Dic3C22×D311yescharacteristic
277C2×C3×Dic3C22×D312yes—
278C2×C3×Dic3C22×D312yes—
279C2×C3×Dic3C22×D311yescharacteristic
280C2×C3×Dic3C22×D311yescharacteristic
281C3×Dic6—24no—
282C3×Dic6—64no—
283C3×Dic6—64no—
284C3×Dic6Dic614yescomplemented
285C3×Dic6Dic614yescomplemented
286#627—24no—
287#627—64no—
288#627—62no—
289#627—62no—
290#557—271noSylow
291C2×C33C22×Q811yescharacteristic
292C2×C33C2×#4111yescharacteristic
293C2×C332−1+411yescharacteristic
294C2×C3×Q8—31no—
295C2×C3×Q8—31no—
296C2×C3×Q8—61no—
297C2×C3×Q8—92no—
298C2×Dic6—32no—
299C2×Dic6—32no—
300C2×Dic6—91no—
301C2×Dic6—91no—
302C2×Dic6—91no—
303C2×Dic6—181no—
304C2×Dic6D3211yescharacteristic
305C3×C4⋊C4—31no—
306C3×C4⋊C4—31no—
307C3×C4⋊C4—61no—
308C3×C4⋊C4—92no—
309C3×C4⋊C4—92no—
310C3×C4⋊C4—92no—
311C3×C4⋊C4—91no—
312C3×C4⋊C4—91no—
313C3×C42—31no—
314C3×C42—31no—
315C3×C42—61no—
316C3×C42—92no—
317C3×C42—92no—
318C3×C42—91no—
319C4⋊Dic3—31no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—32no—
324C4⋊Dic3—32no—
325C4⋊Dic3—32no—
326C4⋊Dic3—61no—
327C4⋊Dic3—61no—
328C4⋊Dic3—92no—
329C4⋊Dic3—92no—
330C4⋊Dic3—91no—
331C4⋊Dic3—92no—
332C4⋊Dic3—91no—
333C4⋊Dic3—92no—
334C4⋊Dic3—92no—
335C4⋊Dic3—92no—
336C4⋊Dic3—91no—
337C4⋊Dic3—92no—
338C4⋊Dic3—181no—
339C4⋊Dic3—182no—
340C4⋊Dic3—182no—
341C4⋊Dic3D3211yescharacteristic
342Dic3⋊C4—32no—
343Dic3⋊C4—32no—
344Dic3⋊C4—32no—
345Dic3⋊C4—92no—
346Dic3⋊C4—92no—
347Dic3⋊C4—92no—
348Dic3⋊C4—92no—
349Dic3⋊C4—91no—
350Dic3⋊C4—91no—
351Dic3⋊C4—91no—
352Dic3⋊C4—91no—
353Dic3⋊C4—92no—
354Dic3⋊C4—92no—
355Dic3⋊C4—91no—
356Dic3⋊C4—91no—
357Dic3⋊C4—92no—
358Dic3⋊C4—92no—
359Dic3⋊C4—181no—
360Dic3⋊C4—181no—
361Dic3⋊C4—182no—
362C4×Dic3—31no—
363C4×Dic3—31no—
364C4×Dic3—32no—
365C4×Dic3—32no—
366C4×Dic3—32no—
367C4×Dic3—32no—
368C4×Dic3—61no—
369C4×Dic3—92no—
370C4×Dic3—92no—
371C4×Dic3—91no—
372C4×Dic3—91no—
373C4×Dic3—91no—
374C4×Dic3—92no—
375C4×Dic3—182no—
376C4×Dic3—181no—
377C4×Dic3—181no—
378C4×Dic3—181no—
379C4×Dic3—361no—
380C4×Dic3D3211yescharacteristic
381C22×C32—21no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—41no—
385C22×C32C23×D311yescharacteristic
386C22×C32C23×D311yescharacteristic
387C22×C32C23×D311yescharacteristic
388C32×C4—22no—
389C32×C4—22no—
390C32×C4—22no—
391C32×C4—34no—
392C32×C4—32no—
393C32×C4—42no—
394C32×C4—62no—
395C32×C4—61no—
396C32×C4C2×Dic612yes—
397C32×C4C2×Dic612yes—
398C32×C4D3×Q812yes—
399C3⋊Dic3—21no—
400C3⋊Dic3—22no—
401C3⋊Dic3—21no—
402C3⋊Dic3—22no—
403C3⋊Dic3—61no—
404C3⋊Dic3—61no—
405C3⋊Dic3—62no—
406C3⋊Dic3—62no—
407C3⋊Dic3—61no—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3⋊Dic3—121no—
412C3⋊Dic3—121no—
413C3⋊Dic3—121no—
414C3⋊Dic3—121no—
415C3⋊Dic3—122no—
416C3⋊Dic3—122no—
417C3×Dic3—22no—
418C3×Dic3—21no—
419C3×Dic3—22no—
420C3×Dic3—21no—
421C3×Dic3—22no—
422C3×Dic3—24no—
423C3×Dic3—41no—
424C3×Dic3—42no—
425C3×Dic3—62no—
426C3×Dic3—61no—
427C3×Dic3—61no—
428C3×Dic3—62no—
429C3×Dic3—62no—
430C3×Dic3—62no—
431C3×Dic3—61no—
432C3×Dic3—62no—
433C3×Dic3—61no—
434C3×Dic3—121no—
435C3×Dic3—122no—
436C3×Dic3—122no—
437C3×Dic3C2×Dic614yes—
438C3×Dic3C2×Dic614yes—
439C3×Dic3#23712yes—
440C3×Dic3#23912yes—
441C4⋊Q8—91no—
442C4⋊Q8—272no—
443#125—272no—
444#125—271no—
445#125—271no—
446#125—272no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×Q8—271no—
450C4×Q8—272no—
451C4×Q8—271no—
452C33#55711yescharacteristic, complemented, Sylow
453C3×Q8—34no—
454C3×Q8—34no—
455C3×Q8—64no—
456C3×Q8—184no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—31no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—31no—
464C2×C3×C4—32no—
465C2×C3×C4—31no—
466C2×C3×C4—32no—
467C2×C3×C4—31no—
468C2×C3×C4—41no—
469C2×C3×C4—62no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—62no—
473C2×C3×C4—92no—
474C2×C3×C4—91no—
475C2×C3×C4—92no—
476C2×C3×C4—91no—
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479C2×C3×C4C2×D3211yescharacteristic
480C2×Dic3—31no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—31no—
486C2×Dic3—32no—
487C2×Dic3—32no—
488C2×Dic3—61no—
489C2×Dic3—61no—
490C2×Dic3—62no—
491C2×Dic3—62no—
492C2×Dic3—91no—
493C2×Dic3—91no—
494C2×Dic3—91no—
495C2×Dic3—91no—
496C2×Dic3—91no—
497C2×Dic3—91no—
498C2×Dic3—181no—
499C2×Dic3—181no—
500C2×Dic3—181no—
501C2×Dic3—181no—
502C2×Dic3—181no—
503C2×Dic3—181no—
504C2×Dic3—361no—
505C2×Dic3—361no—
506C2×Dic3C2×D3212yes—
507C2×Dic3C2×D3211yescharacteristic
508C2×Dic3C2×D3211yescharacteristic
509C2×Dic3C2×D3212yes—
510Dic6—64no—
511Dic6—64no—
512Dic6—182no—
513Dic6—182no—
514Dic6—184no—
515Dic6—182no—
516Dic6#62714yescomplemented
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×C32C22×Dic611yescharacteristic
530C2×C32C22×Dic611yescharacteristic
531C2×C32C2×#23711yescharacteristic
532C2×C32C2×D3×Q811yescharacteristic
533C2×C32C2×#23911yescharacteristic
534C2×C32#100711yescharacteristic
535C2×C32#100711yescharacteristic
536C2×C32D3×#4111yescharacteristic
537C2×C32#101011yescharacteristic
538C2×Q8—31no—
539C2×Q8—92no—
540C2×Q8—271no—
541C4⋊C4—31no—
542C4⋊C4—92no—
543C4⋊C4—92no—
544C4⋊C4—92no—
545C4⋊C4—91no—
546C4⋊C4—91no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—272no—
551C4⋊C4—272no—
552C4⋊C4—272no—
553C4⋊C4—272no—
554C4⋊C4—272no—
555C42—31no—
556C42—92no—
557C42—92no—
558C42—91no—
559C42—272no—
560C42—271no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—41no—
565C22×C3C22×D3211yescharacteristic
566C22×C3C22×D3211yescharacteristic
567C22×C3C22×D3211yescharacteristic
568C3×C4—22no—
569C3×C4—22no—
570C3×C4—22no—
571C3×C4—34no—
572C3×C4—34no—
573C3×C4—32no—
574C3×C4—32no—
575C3×C4—42no—
576C3×C4—62no—
577C3×C4—64no—
578C3×C4—62no—
579C3×C4—61no—
580C3×C4—61no—
581C3×C4—62no—
582C3×C4—122no—
583C3×C4—121no—
584C3×C4—181no—
585C3×C4—181no—
586C3×C4—182no—
587C3×C4—182no—
588C3×C4D3×Dic612yes—
589C3×C4D3×Dic612yes—
590C3×C4C2×#62712yes—
591Dic3—21no—
592Dic3—22no—
593Dic3—62no—
594Dic3—62no—
595Dic3—62no—
596Dic3—62no—
597Dic3—61no—
598Dic3—61no—
599Dic3—62no—
600Dic3—61no—
601Dic3—61no—
602Dic3—122no—
603Dic3—122no—
604Dic3—121no—
605Dic3—182no—
606Dic3—182no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—181no—
611Dic3—181no—
612Dic3—181no—
613Dic3—361no—
614Dic3—361no—
615Dic3—361no—
616Dic3—361no—
617Dic3—362no—
618Dic3—362no—
619Dic3#379612yes—
620Dic3C2×#62714yes—
621C32—21no—
622C32—21no—
623C32—21no—
624C32—41no—
625C32#556911yescharacteristic, complemented
626C32#557011yescharacteristic, complemented
627C32#572111yescharacteristic, complemented
628Q8—34no—
629Q8—184no—
630Q8—542no—
631C2×C4—31no—
632C2×C4—32no—
633C2×C4—31no—
634C2×C4—32no—
635C2×C4—91no—
636C2×C4—92no—
637C2×C4—91no—
638C2×C4—92no—
639C2×C4—271no—
640C2×C4—271no—
641C2×C4D3311yescharacteristic
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—41no—
652C2×C3—41no—
653C2×C3—41no—
654C2×C3C2×D3×Dic611yescharacteristic
655C2×C3C2×D3×Dic611yescharacteristic
656C2×C3C2×#379611yescharacteristic
657C2×C3#6429711yescharacteristic
658C2×C3D3×#23711yescharacteristic
659C2×C3#6431511yescharacteristic
660C2×C3#6431611yescharacteristic
661C2×C3D3×#23911yescharacteristic
662C2×C3C22×#62711yescharacteristic
663C22C2×D3311yescharacteristic
664C4—32no—
665C4—34no—
666C4—62no—
667C4—61no—
668C4—182no—
669C4—181no—
670C4—181no—
671C4—182no—
672C4—541no—
673C4—541no—
674C4D3×#62712yes—
675C3—21no—
676C3—21no—
677C3—21no—
678C3—41no—
679C3#1059386111yescharacteristic, complemented
680C3#1059431711yescharacteristic, complemented
681C3#1059542211yescharacteristic, complemented
682C2D3×#379611yescharacteristic
683C2#1172439711yescharacteristic
684C2C2×D3×#62711yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, prime radical, cosocleC22×C33C24
FittingC2×C33×C4C23
hypercenterC2×C4D33
hypocenterC33#557
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
85. C32×Dic6Q8semidirect
284. C3×Dic6Dic6semidirect
285. C3×Dic6Dic6semidirect
452. C33#557semidirect
516. Dic6#627semidirect
625. C32#5569semidirect
626. C32#5570semidirect
627. C32#5721semidirect
679. C3#10593861semidirect
680. C3#10594317semidirect
681. C3#10595422semidirect

Maximal subgroups

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

subgroupindex
#117236802
C4×#62932
#117234502
#117233972
C3×#639182
C3×#638432
C3×Dic3×Dic62
#117230332
#117230132
#117230122
Dic3×#6272
#105954223
#105943173
#105938613