Finite Group Databasebeta

← #11858830

Subgroups — #11858830

Order 1152.

1063 conjugacy classes of subgroups.

The subgroup lattice has 685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#624C211yesmaximal, characteristic
2#10592425C211yesmaximal, characteristic
3C3×#4719C211yesmaximal, characteristic, complemented
4C3×#4718C211yesmaximal, characteristic, complemented
5#10591159C211yesmaximal, characteristic
6#10591063C211yesmaximal, characteristic, complemented
7#10591053C211yesmaximal, characteristic, complemented
8#10590666C212yesmaximal, complemented
9#10590665C212yesmaximal, complemented
10#10590664C212yesmaximal, complemented
11#10590643C212yesmaximal, complemented
12#79331—31nomaximal
13#79282—31nomaximal
14C22×C4×C3⋊D3C2211yescharacteristic
15C22×#624C411yescharacteristic
16C22×#624C411yescharacteristic
17C2×#3743C2212yes—
18C2×C3×C4×Dic3C2211yescharacteristic
19C2×C3×C4×Dic3C2211yescharacteristic
20C2×Dic32C411yescharacteristic
21C2×Dic32C411yescharacteristic
22C4×#624C411yescharacteristic
23C4×#624C411yescharacteristic
24C4×#624C411yescharacteristic
25C4×#624C411yescharacteristic
26C4×#624C2211yescharacteristic
27C4×#624C2211yescharacteristic
28C4×#624C2211yescharacteristic
29C4×#624C2211yescharacteristic
30C2×#3712C2212yes—
31C32×C22⋊C8C2211yescharacteristic
32#63657C2211yescharacteristic
33#63647C2212yes—
34C3×#830C2211yescharacteristic
35C3×#830C2211yescharacteristic
36C3×#815C2212yescomplemented
37C3×Dic3⋊C8C2212yescomplemented
38C3×Dic3⋊C8C2212yescomplemented
39C3×C8×Dic3C2212yescomplemented
40Dic3⋊(C3⋊C8)C2212yescomplemented
41Dic3⋊(C3⋊C8)C2212yescomplemented
42#63557C2212yes—
43#63554C2212yescomplemented
44Dic3×C3⋊C8C2212yescomplemented
45C2×C42×D3—31no—
46C2×C42×D3—31no—
47C3×#432—31no—
48C3×#431—31no—
49#4926—31no—
50#4925—31no—
51#4837—32no—
52#4837—32no—
53#4835—32no—
54#4833—32no—
55#4726—31no—
56#4726—31no—
57#4726—31no—
58#4726—31no—
59#4726—61no—
60#4719—31no—
61#4719D311yescharacteristic, complemented
62#4718—31no—
63#4718D311yescharacteristic, complemented
64#4707—32no—
65#4705—32no—
66C4×ΓL(1,𝔽25)—32no—
67#4685—32no—
68C23×C3⋊D3C2×C411yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2×C411yescharacteristic
71C2×C4×C3⋊D3—24no—
72C2×C4×C3⋊D3C2×C411yescharacteristic
73C2×C4×C3⋊D3C2×C411yescharacteristic
74C2×C4×C3⋊D3C2311yescharacteristic
75C2×C4×C3⋊D3C2311yescharacteristic
76C22×C3×Dic3C2×C411yescharacteristic
77C22×C3×Dic3C2×C411yescharacteristic
78C22×C3×Dic3C2×C411yescharacteristic
79C22×C3×Dic3C2×C411yescharacteristic
80C2×#624—24no—
81C2×#624—24no—
82C2×#624C2×C411yescharacteristic
83C2×#624C2×C411yescharacteristic
84C2×#624C2×C411yescharacteristic
85C2×#624C2×C411yescharacteristic
86C2×#624C2×C411yescharacteristic
87C2×#624C2×C411yescharacteristic
88C2×#624C2×C411yescharacteristic
89C2×#624C2×C411yescharacteristic
90C2×C32×C8C2312yes—
91C2×C3⋊(C3⋊C8)C2312yes—
92#3743—24no—
93C3×C4×Dic3C2×C411yescharacteristic
94C3×C4×Dic3C2×C411yescharacteristic
95C3×C4×Dic3C2×C411yescharacteristic
96C3×C4×Dic3C2×C411yescharacteristic
97C3×C4×Dic3C2311yescharacteristic
98C3×C4×Dic3C2311yescharacteristic
99C3×C4×Dic3C2311yescharacteristic
100C3×C4×Dic3C2311yescharacteristic
101C2×C3×C3⋊C8C2312yes—
102C2×C3×C3⋊C8C2312yes—
103Dic32C2×C411yescharacteristic
104Dic32C2×C411yescharacteristic
105Dic32C2×C411yescharacteristic
106Dic32C2×C411yescharacteristic
107Dic32C2×C411yescharacteristic
108Dic32C2×C411yescharacteristic
109Dic32C2×C411yescharacteristic
110Dic32C2×C411yescharacteristic
111#3712—24no—
112#2920—91noSylow
113C22×C4×D3—31no—
114C22×C4×D3—31no—
115C22×C4×D3—31no—
116C22×C4×D3—31no—
117C22×C4×D3—31no—
118C22×C4×D3—31no—
119C22×C4×D3—61no—
120C2×C3×C42—31no—
121C2×C3×C42—31no—
122C2×C4×Dic3—31no—
123C2×C4×Dic3—31no—
124C2×C4×Dic3—31no—
125C2×C4×Dic3—31no—
126C2×C4×Dic3C2×D311yescharacteristic
127C2×C4×Dic3C2×D311yescharacteristic
128C2×ΓL(1,𝔽25)—32no—
129C2×ΓL(1,𝔽25)—32no—
130C2×ΓL(1,𝔽25)—32no—
131C2×ΓL(1,𝔽25)—32no—
132C2×ΓL(1,𝔽25)—62no—
133C42×D3—31no—
134C42×D3—31no—
135C42×D3—31no—
136C42×D3—31no—
137C42×D3—31no—
138C42×D3—31no—
139C42×D3—31no—
140C42×D3—31no—
141C42×D3—31no—
142C42×D3—31no—
143C42×D3—31no—
144C42×D3—31no—
145C42×D3—31no—
146C42×D3—31no—
147C42×D3—31no—
148C42×D3—31no—
149C3×C4⋊C8—32no—
150C3×C4⋊C8—32no—
151C3×C22⋊C8—21no—
152C3×C22⋊C8—31no—
153C3×C22⋊C8—31no—
154C3×C22⋊C8C2×D311yescharacteristic
155C3×C22⋊C8C2×D311yescharacteristic
156C3×#97—32no—
157C3×C4×C8—32no—
158#830—31no—
159#830—31no—
160#830—61no—
161#830C2×D311yescharacteristic
162#830C2×D311yescharacteristic
163(C2×D3)⋊C8—32no—
164(C2×D3)⋊C8—32no—
165(C2×D3)⋊C8—32no—
166(C2×D3)⋊C8—32no—
167(C2×D3)⋊C8—62no—
168#815—32no—
169#815C2×D312yescomplemented
170Dic3⋊C8—32no—
171Dic3⋊C8—32no—
172Dic3⋊C8C2×D312yescomplemented
173Dic3⋊C8C2×D312yescomplemented
174C8×Dic3—32no—
175C8×Dic3C2×D312yescomplemented
176C4⋊(C3⋊C8)—32no—
177C4⋊(C3⋊C8)—32no—
178#803—32no—
179C4×C3⋊C8—32no—
180C23×C32C22×C411yescharacteristic
181C22×C3⋊D3—22no—
182C22×C3⋊D3—22no—
183C22×C3⋊D3—22no—
184C22×C3⋊D3C22×C411yescharacteristic
185C22×C3⋊D3C22×C411yescharacteristic
186C2×C32×C4—22no—
187C2×C32×C4C22×C411yescharacteristic
188C2×C32×C4C2411yescharacteristic
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3C22×C411yescharacteristic
191C2×C3⋊Dic3C22×C411yescharacteristic
192C4×C3⋊D3—22no—
193C4×C3⋊D3—22no—
194C4×C3⋊D3—22no—
195C4×C3⋊D3#4114yes—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3M1614yescomplemented
200C2×C3×Dic3C22×C411yescharacteristic
201C2×C3×Dic3C22×C411yescharacteristic
202C2×C3×Dic3C22×C411yescharacteristic
203C2×C3×Dic3C22×C411yescharacteristic
204C2×C3×Dic3C22×C411yescharacteristic
205C2×C3×Dic3C22×C411yescharacteristic
206C2×C3×Dic3C22×C411yescharacteristic
207C2×C3×Dic3C22×C411yescharacteristic
208#624—22no—
209#624—22no—
210#624—22no—
211#624—22no—
212#624—22no—
213#624—22no—
214#624—22no—
215#624M1614yescomplemented
216C32×C8—22no—
217C3⋊(C3⋊C8)—22no—
218C3×C3⋊C8—22no—
219C3×C3⋊C8—22no—
220C22×C42—91no—
221#432—31no—
222#432—92no—
223#432—91no—
224#431—31no—
225#431—92no—
226#431—91no—
227#423—92no—
228#407—91no—
229#407—91no—
230C4×M16—92no—
231C23×D3—31no—
232C23×D3—31no—
233C23×D3—61no—
234C22×C3×C4—21no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×C3×C4C22×D311yescharacteristic
240C22×C3×C4C22×D311yescharacteristic
241C22×Dic3—31no—
242C22×Dic3—31no—
243C22×Dic3—61no—
244C22×Dic3C4×D311yescharacteristic
245C22×Dic3C4×D311yescharacteristic
246C22×Dic3C4×D311yescharacteristic
247C22×Dic3C4×D311yescharacteristic
248C2×C4×D3—31no—
249C2×C4×D3—31no—
250C2×C4×D3—31no—
251C2×C4×D3—31no—
252C2×C4×D3—31no—
253C2×C4×D3—31no—
254C2×C4×D3—31no—
255C2×C4×D3—31no—
256C2×C4×D3—31no—
257C2×C4×D3—31no—
258C2×C4×D3—31no—
259C2×C4×D3—31no—
260C2×C4×D3—31no—
261C2×C4×D3—31no—
262C2×C4×D3—31no—
263C2×C4×D3—31no—
264C2×C4×D3—31no—
265C2×C4×D3—31no—
266C2×C4×D3—31no—
267C2×C4×D3—31no—
268C2×C4×D3—31no—
269C2×C4×D3—31no—
270C2×C4×D3—31no—
271C2×C4×D3—31no—
272C2×C4×D3—61no—
273C2×C4×D3—61no—
274C2×C4×D3—61no—
275C2×C4×D3—61no—
276C2×C4×D3—64no—
277C2×C4×D3—64no—
278C2×C4×D3—64no—
279C2×C4×D3—64no—
280C2×C4×D3—64no—
281C2×C4×D3—64no—
282C2×C4×D3—124no—
283C2×C3×C8—22no—
284C2×C3×C8—32no—
285C2×C3×C8—32no—
286C2×C3×C8C22×D312yes—
287C2×C3×C8C22×D312yes—
288C3×C42—31no—
289C3×C42—31no—
290C3×C42—31no—
291C3×C42—31no—
292C3×C42—31no—
293C3×C42—31no—
294C3×C42—31no—
295C3×C42—31no—
296C4×Dic3—31no—
297C4×Dic3—31no—
298C4×Dic3—31no—
299C4×Dic3—31no—
300C4×Dic3—31no—
301C4×Dic3—31no—
302C4×Dic3—31no—
303C4×Dic3—31no—
304C4×Dic3—31no—
305C4×Dic3—31no—
306C4×Dic3—31no—
307C4×Dic3—31no—
308C4×Dic3—31no—
309C4×Dic3—31no—
310C4×Dic3—31no—
311C4×Dic3—31no—
312C4×Dic3C4×D311yescharacteristic
313C4×Dic3C4×D311yescharacteristic
314C4×Dic3C4×D311yescharacteristic
315C4×Dic3C4×D311yescharacteristic
316C4×Dic3C22×D311yescharacteristic
317C4×Dic3C22×D311yescharacteristic
318C4×Dic3C22×D311yescharacteristic
319C4×Dic3C22×D311yescharacteristic
320C2×C3⋊C8—32no—
321C2×C3⋊C8—32no—
322C2×C3⋊C8—62no—
323C2×C3⋊C8C22×D312yes—
324C2×C3⋊C8C22×D312yes—
325ΓL(1,𝔽25)—64no—
326ΓL(1,𝔽25)—64no—
327ΓL(1,𝔽25)—64no—
328ΓL(1,𝔽25)—64no—
329ΓL(1,𝔽25)—124no—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32C2×M1612yes—
333C22×C32C23×C411yescharacteristic
334C2×C3⋊D3—28no—
335C2×C3⋊D3—21no—
336C2×C3⋊D3—21no—
337C2×C3⋊D3—21no—
338C2×C3⋊D3—21no—
339C2×C3⋊D3#11712yes—
340C2×C3⋊D3C2×M1612yes—
341C32×C4—21no—
342C32×C4C2×#4112yes—
343C3⋊Dic3—21no—
344C3⋊Dic3#11712yes—
345C3×Dic3—21no—
346C3×Dic3—21no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3C2×M1612yes—
350C3×Dic3C2×M1612yes—
351C3×Dic3C2×M1612yes—
352C3×Dic3C2×M1612yes—
353C23×C4—91no—
354C23×C4—91no—
355C23×C4—91no—
356C2×M16—92no—
357C2×M16—92no—
358C2×C42—31no—
359C2×C42—31no—
360C2×C42—91no—
361C2×C42—91no—
362C2×C42—91no—
363C2×C42—91no—
364C2×C42—91no—
365C2×C42—91no—
366C2×C42—91no—
367C2×C42—91no—
368C2×C42—91no—
369C2×C42—91no—
370C4⋊C8—32no—
371C4⋊C8—32no—
372C4⋊C8—92no—
373C4⋊C8—92no—
374C22⋊C8—31no—
375C22⋊C8—31no—
376C22⋊C8—92no—
377C22⋊C8—91no—
378C22⋊C8—92no—
379C22⋊C8D3211yescharacteristic
380#97—32no—
381#97—92no—
382C4×C8—32no—
383C4×C8—92no—
384C23×C3—21no—
385C23×C3C2×C4×D311yescharacteristic
386C23×C3C2×C4×D311yescharacteristic
387C22×D3—31no—
388C22×D3—31no—
389C22×D3—31no—
390C22×D3—31no—
391C22×D3—61no—
392C22×D3—61no—
393C22×D3—62no—
394C22×D3—62no—
395C22×D3—62no—
396C22×D3—62no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—122no—
400C22×D3—122no—
401C22×D3—122no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—34no—
407C2×C3×C4—31no—
408C2×C3×C4—31no—
409C2×C3×C4—31no—
410C2×C3×C4—31no—
411C2×C3×C4—31no—
412C2×C3×C4—31no—
413C2×C3×C4—31no—
414C2×C3×C4—31no—
415C2×C3×C4—42no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4C2×C4×D311yescharacteristic
420C2×C3×C4C2×C4×D311yescharacteristic
421C2×C3×C4C23×D311yescharacteristic
422C2×C3×C4C23×D311yescharacteristic
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—31no—
427C2×Dic3—31no—
428C2×Dic3—31no—
429C2×Dic3—31no—
430C2×Dic3—61no—
431C2×Dic3—61no—
432C2×Dic3—62no—
433C2×Dic3—62no—
434C2×Dic3—122no—
435C2×Dic3ΓL(1,𝔽25)14yescomplemented
436C2×Dic3C2×C4×D311yescharacteristic
437C2×Dic3C2×C4×D311yescharacteristic
438C2×Dic3C2×C4×D311yescharacteristic
439C2×Dic3C2×C4×D311yescharacteristic
440C2×Dic3C2×C4×D311yescharacteristic
441C2×Dic3C2×C4×D311yescharacteristic
442C2×Dic3C2×C4×D311yescharacteristic
443C2×Dic3C2×C4×D311yescharacteristic
444C4×D3—34no—
445C4×D3—34no—
446C4×D3—34no—
447C4×D3—34no—
448C4×D3—64no—
449C4×D3—62no—
450C4×D3—62no—
451C4×D3—62no—
452C4×D3—62no—
453C4×D3—62no—
454C4×D3—62no—
455C4×D3—62no—
456C4×D3—62no—
457C4×D3—62no—
458C4×D3—62no—
459C4×D3—62no—
460C4×D3—62no—
461C4×D3—62no—
462C4×D3—62no—
463C4×D3—62no—
464C4×D3—62no—
465C4×D3—62no—
466C4×D3—62no—
467C4×D3—62no—
468C4×D3—62no—
469C4×D3—122no—
470C4×D3—122no—
471C4×D3—122no—
472C3×C8—22no—
473C3×C8—22no—
474C3×C8—42no—
475C3×C8—62no—
476C3×C8—62no—
477C3⋊C8—22no—
478C3⋊C8—22no—
479C3⋊C8—62no—
480C3⋊C8—62no—
481C3⋊C8—122no—
482C2×C32—22no—
483C2×C32C2×#11711yescharacteristic
484C2×C32C22×M1611yescharacteristic
485C2×C32C22×M1611yescharacteristic
486C3⋊D3—22no—
487C3⋊D3—22no—
488C24—91no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—31no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—91no—
497C22×C4—91no—
498C22×C4—91no—
499C22×C4—91no—
500C22×C4—91no—
501C22×C4—91no—
502C22×C4—91no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—91no—
506C22×C4—184no—
507C22×C4—184no—
508C22×C4—184no—
509C22×C4C2×D3211yescharacteristic
510M16—184no—
511M16—184no—
512C2×C8—32no—
513C2×C8—32no—
514C2×C8—92no—
515C2×C8C2×D3212yes—
516C42—31no—
517C42—31no—
518C42—31no—
519C42—31no—
520C42—31no—
521C42—31no—
522C42—31no—
523C42—31no—
524C42—91no—
525C42—91no—
526C42—91no—
527C42—91no—
528C42—91no—
529C42—91no—
530C42—91no—
531C42—91no—
532C22×C3—21no—
533C22×C3—21no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—22no—
537C22×C3—21no—
538C22×C3—41no—
539C22×C3—41no—
540C22×C3C2×ΓL(1,𝔽25)12yes—
541C22×C3D3×M1612yes—
542C22×C3C22×C4×D311yescharacteristic
543C22×C3C22×C4×D311yescharacteristic
544C2×D3—32no—
545C2×D3—32no—
546C2×D3—32no—
547C2×D3—32no—
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—68no—
551C2×D3—68no—
552C2×D3—61no—
553C2×D3—61no—
554C2×D3—61no—
555C2×D3—61no—
556C2×D3—61no—
557C2×D3—61no—
558C2×D3—61no—
559C2×D3—61no—
560C2×D3—121no—
561C2×D3—121no—
562C2×D3—121no—
563C2×D3—121no—
564C2×D3—128no—
565C3×C4—21no—
566C3×C4—21no—
567C3×C4—22no—
568C3×C4—32no—
569C3×C4—32no—
570C3×C4—32no—
571C3×C4—32no—
572C3×C4—41no—
573C3×C4—61no—
574C3×C4—61no—
575C3×C4—61no—
576C3×C4—61no—
577C3×C4D3×#4112yes—
578C3×C4D3×#4112yes—
579Dic3—21no—
580Dic3—21no—
581Dic3—21no—
582Dic3—21no—
583Dic3—32no—
584Dic3—32no—
585Dic3—62no—
586Dic3—61no—
587Dic3—61no—
588Dic3—121no—
589Dic3C2×ΓL(1,𝔽25)12yes—
590Dic3C2×ΓL(1,𝔽25)12yes—
591Dic3D3×M1612yes—
592Dic3D3×M1612yes—
593C32#292011yescharacteristic, complemented, Sylow
594C23—91no—
595C23—91no—
596C23—182no—
597C23—182no—
598C23—182no—
599C23C4×D3211yescharacteristic
600C2×C4—22no—
601C2×C4—34no—
602C2×C4—31no—
603C2×C4—31no—
604C2×C4—31no—
605C2×C4—31no—
606C2×C4—31no—
607C2×C4—31no—
608C2×C4—31no—
609C2×C4—31no—
610C2×C4—62no—
611C2×C4—62no—
612C2×C4—62no—
613C2×C4—94no—
614C2×C4—91no—
615C2×C4—94no—
616C2×C4—91no—
617C2×C4—182no—
618C2×C4—182no—
619C2×C4—182no—
620C2×C4—182no—
621C2×C4—182no—
622C2×C4—182no—
623C2×C4—182no—
624C2×C4—182no—
625C2×C4—182no—
626C2×C4—182no—
627C2×C4—182no—
628C2×C4C4×D3211yescharacteristic
629C2×C4C22×D3211yescharacteristic
630C8—22no—
631C8—62no—
632C8—62no—
633C8—182no—
634C2×C3—22no—
635C2×C3—22no—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—42no—
640C2×C3D3×#11711yescharacteristic
641C2×C3D3×#11711yescharacteristic
642C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
643C2×C3C2×D3×M1611yescharacteristic
644C2×C3C2×D3×M1611yescharacteristic
645C2×C3C2×D3×M1611yescharacteristic
646D3—62no—
647D3—62no—
648D3—62no—
649D3—62no—
650D3—122no—
651D3—122no—
652C22—21no—
653C22—21no—
654C22—92no—
655C22—92no—
656C22—188no—
657C22—181no—
658C22—181no—
659C22—181no—
660C22—181no—
661C22D3×ΓL(1,𝔽25)12yes—
662C22C2×C4×D3211yescharacteristic
663C4—21no—
664C4—32no—
665C4—32no—
666C4—32no—
667C4—32no—
668C4—61no—
669C4—61no—
670C4—61no—
671C4—61no—
672C4—92no—
673C4—181no—
674C4#6431212yes—
675C3—21no—
676C3#7928211yescharacteristic, complemented
677C3#7933111yescharacteristic, complemented
678C2—22no—
679C2—182no—
680C2—182no—
681C2#1059405211yescharacteristic
682C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
683C2D32×M1611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC32×C22⋊C8C22
prime radicalC23×C3⋊D3C2×C4
cosocleC2×C32×C4C24
hypercenterC22⋊C8D32
hypocenterC32#2920
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
3. C3×#4719C2semidirect
4. C3×#4718C2semidirect
6. #10591063C2semidirect
7. #10591053C2semidirect
8. #10590666C2semidirect
9. #10590665C2semidirect
10. #10590664C2semidirect
11. #10590643C2semidirect
36. C3×#815C22semidirect
37. C3×Dic3⋊C8C22semidirect
38. C3×Dic3⋊C8C22semidirect
39. C3×C8×Dic3C22semidirect
40. Dic3⋊(C3⋊C8)C22semidirect
41. Dic3⋊(C3⋊C8)C22semidirect
43. #63554C22semidirect
44. Dic3×C3⋊C8C22semidirect
61. #4719D3semidirect
63. #4718D3semidirect
169. #815C2×D3semidirect
172. Dic3⋊C8C2×D3semidirect
173. Dic3⋊C8C2×D3semidirect
175. C8×Dic3C2×D3semidirect
199. C2×C3×Dic3M16semidirect
215. #624M16semidirect
435. C2×Dic3ΓL(1,𝔽25)semidirect
593. C32#2920semidirect
676. C3#79282semidirect
677. C3#79331semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#6242
#105924252
C3×#47192
C3×#47182
#105911592
#105910632
#105910532
#105906662
#105906652
#105906642
#105906432
#793313
#792823