Finite Group Databasebeta

← #11787178

Subgroups — #11787178

Order 1152.

917 conjugacy classes of subgroups.

The subgroup lattice has 679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#626C211yesmaximal, characteristic
2C22×#3711C211yesmaximal, characteristic, complemented
3C2×#63647C211yesmaximal, characteristic, complemented
4C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
5C2×#63557C211yesmaximal, characteristic, complemented
6C3×#4550C211yesmaximal, characteristic, complemented
7#10589155C211yesmaximal, characteristic, complemented
8#69953—31nomaximal
9#68669—31nomaximal
10C22×C4×C3⋊D3C2211yescharacteristic
11C22×C3×C4×D3C2211yescharacteristic
12C22×#626C411yescharacteristic
13C22×C32×C8C2211yescharacteristic
14C22×C3⋊(C3⋊C8)C2211yescharacteristic
15C2×C3×C4×Dic3C2211yescharacteristic
16C22×C3×C3⋊C8C2211yescharacteristic
17C22×C3×C3⋊C8C2211yescharacteristic
18C2×Dic3⋊Dic3C411yescharacteristic
19C2×#3722C411yescharacteristic
20C2×(C2×D3)⋊Dic3C411yescharacteristic
21C4×#626—22no—
22C4×#626—22no—
23C2×#3711—22no—
24C2×#3711—22no—
25C2×#3711—22no—
26#63647—22no—
27C3×(C2×D3)⋊C8—22no—
28#63557—22no—
29C2×C4×#67—31no—
30C22×#208—31no—
31C22×ΓL(1,𝔽25)—31no—
32C2×C4×D12—31no—
33C2×C3×C22⋊C8—31no—
34C2×(C2×D3)⋊C8—31no—
35C2×(C2×D3)⋊C8—31no—
36C2×(C2×D3)⋊C8—31no—
37C2×(C2×D3)⋊C8—31no—
38C2×(C2×D3)⋊C8—61no—
39C2×(C2×D3)⋊C8D311yescharacteristic, complemented
40C3×#336—31no—
41#4550—31no—
42#4550D311yescharacteristic, complemented
43#4524—31no—
44C23×C3⋊D3C2×C411yescharacteristic
45C23×C3×D3C2×C411yescharacteristic
46C22×C32×C4C2311yescharacteristic
47C22×C3⋊Dic3C2×C411yescharacteristic
48C2×C4×C3⋊D3—21no—
49C2×C4×C3⋊D3—21no—
50C2×C4×C3⋊D3—21no—
51C2×C4×C3⋊D3—21no—
52C2×C4×C3⋊D3—21no—
53C2×C4×C3⋊D3—21no—
54C22×C3×Dic3C2×C411yescharacteristic
55C22×C3×Dic3C2×C411yescharacteristic
56C22×C3×Dic3C2×C411yescharacteristic
57C2×C3×C4×D3—21no—
58C2×C3×C4×D3—21no—
59C2×C3×C4×D3—21no—
60C2×C3×C4×D3—21no—
61C2×C3×C4×D3D412yes—
62C2×C3×C4×D3D412yes—
63C2×#626—22no—
64C2×#626—22no—
65C2×#626—22no—
66C2×C32×C8—21no—
67C2×C32×C8—21no—
68C2×C32×C8—21no—
69C2×C3⋊(C3⋊C8)—21no—
70C2×C3⋊(C3⋊C8)—21no—
71C2×C3⋊(C3⋊C8)D412yescomplemented
72C3×C4×Dic3—21no—
73C3×C4×Dic3—21no—
74C2×C3×C3⋊C8—21no—
75C2×C3×C3⋊C8—21no—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8—21no—
78C2×C3×C3⋊C8—21no—
79C2×C3×C3⋊C8D412yescomplemented
80Dic3⋊Dic3—22no—
81#3722—22no—
82(C2×D3)⋊Dic3—22no—
83#3711—28no—
84#1870—91noSylow
85C23×C3×C4—31no—
86C22×#67—31no—
87C22×D12—31no—
88C22×C4×D3—31no—
89C22×C4×D3—31no—
90C22×C4×D3—61no—
91C22×C4×D3C2×D311yescharacteristic
92C22×C3×C8—21no—
93C22×C3×C8—31no—
94C22×C3×C8—31no—
95C22×C3×C8C2×D311yescharacteristic
96C22×C3×C8C2×D311yescharacteristic
97C2×C3×C42—31no—
98C2×#217—31no—
99C4×#67—62no—
100C4×#67—62no—
101C2×(C2×D3)⋊C4—31no—
102C2×(C2×D3)⋊C4—31no—
103C2×(C2×D3)⋊C4—31no—
104C2×C4⋊Dic3—31no—
105C2×Dic3⋊C4—31no—
106C2×C4×Dic3C2×D311yescharacteristic
107C2×#208—62no—
108C2×#208—62no—
109C2×#208—62no—
110C22×C3⋊C8—31no—
111C22×C3⋊C8—31no—
112C22×C3⋊C8—61no—
113C22×C3⋊C8C2×D311yescharacteristic
114C22×C3⋊C8C2×D311yescharacteristic
115C2×ΓL(1,𝔽25)—62no—
116C2×ΓL(1,𝔽25)—62no—
117C2×ΓL(1,𝔽25)—62no—
118C4×D12—62no—
119C4×D12—62no—
120C3×C22⋊C8—62no—
121(C2×D3)⋊C8—22no—
122(C2×D3)⋊C8—62no—
123(C2×D3)⋊C8—62no—
124(C2×D3)⋊C8—62no—
125(C2×D3)⋊C8—64no—
126(C2×D3)⋊C8—62no—
127C23×C32C22×C411yescharacteristic
128C22×C3⋊D3—21no—
129C22×C3⋊D3—21no—
130C22×C3⋊D3—21no—
131C22×C3⋊D3—21no—
132C22×C3⋊D3—21no—
133C22×C3⋊D3—21no—
134C22×C3⋊D3M1612yescomplemented
135C22×C3×D3—21no—
136C22×C3×D3—21no—
137C22×C3×D3—21no—
138C22×C3×D3—21no—
139C22×C3×D3—21no—
140C22×C3×D3—21no—
141C22×C3×D3C22⋊C412yes—
142C2×C32×C4C2×D411yescharacteristic
143C2×C32×C4C2×D411yescharacteristic
144C2×C32×C4C2×D411yescharacteristic
145C2×C32×C4C2×D411yescharacteristic
146C2×C32×C4#4111yescharacteristic
147C2×C32×C4#4111yescharacteristic
148C2×C3⋊Dic3—21no—
149C2×C3⋊Dic3—21no—
150C2×C3⋊Dic3—21no—
151C4×C3⋊D3—41no—
152C4×C3⋊D3—41no—
153C4×C3⋊D3—41no—
154C4×C3⋊D3—41no—
155C2×C3×Dic3—21no—
156C2×C3×Dic3—21no—
157C2×C3×Dic3—21no—
158C2×C3×Dic3—21no—
159C2×C3×Dic3—21no—
160C2×C3×Dic3—21no—
161C2×C3×Dic3—21no—
162C2×C3×Dic3C22⋊C412yes—
163C2×C3×Dic3M1612yescomplemented
164C3×C4×D3—22no—
165C3×C4×D3—22no—
166C3×C4×D3—22no—
167C3×C4×D3—22no—
168#626—28no—
169C32×C8—41no—
170C3⋊(C3⋊C8)—22no—
171C3×C3⋊C8—22no—
172C3×C3⋊C8—41no—
173C22×M16—91no—
174C2×C4×D4—91no—
175C2×C22⋊C8—31no—
176C2×C22⋊C8—91no—
177C2×C22⋊C8—91no—
178#336—31no—
179#336—91no—
180C24×C3—31no—
181C23×D3—31no—
182C23×D3—31no—
183C23×D3—61no—
184C23×D3C4×D311yescharacteristic
185C22×C3×C4—21no—
186C22×C3×C4—31no—
187C22×C3×C4—31no—
188C22×C3×C4—32no—
189C22×C3×C4—32no—
190C22×C3×C4—31no—
191C22×C3×C4—61no—
192C22×C3×C4—61no—
193C22×C3×C4—61no—
194C22×C3×C4—61no—
195C22×C3×C4C22×D311yescharacteristic
196C22×C3×C4C22×D311yescharacteristic
197C2×#67—62no—
198C2×#67—62no—
199C2×#67—62no—
200C22×Dic3—31no—
201C22×Dic3—31no—
202C22×Dic3—61no—
203C22×Dic3C4×D311yescharacteristic
204C22×Dic3C4×D311yescharacteristic
205C22×Dic3C4×D311yescharacteristic
206C2×D12—62no—
207C2×D12—62no—
208C2×D12—62no—
209C2×C4×D3—21no—
210C2×C4×D3—21no—
211C2×C4×D3—21no—
212C2×C4×D3—21no—
213C2×C4×D3—62no—
214C2×C4×D3—62no—
215C2×C4×D3—61no—
216C2×C4×D3—61no—
217C2×C4×D3—61no—
218C2×C4×D3—61no—
219C2×C4×D3—61no—
220C2×C4×D3—61no—
221C2×C4×D3—61no—
222C2×C4×D3—61no—
223C2×C4×D3—61no—
224C2×C4×D3—61no—
225C2×C4×D3—61no—
226C2×C4×D3—61no—
227C2×C4×D3—121no—
228C2×C4×D3—121no—
229C2×C4×D3—121no—
230C2×C4×D3—121no—
231C2×C4×D3D1212yes—
232C2×C4×D3#6712yes—
233C2×C3×C8—22no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—32no—
241C2×C3×C8—41no—
242C2×C3×C8—41no—
243C2×C3×C8—61no—
244C2×C3×C8—61no—
245C2×C3×C8—61no—
246C2×C3×C8—61no—
247C2×C3×C8—61no—
248C3×C42—61no—
249C3×C42—61no—
250#217—62no—
251(C2×D3)⋊C4—62no—
252(C2×D3)⋊C4—62no—
253(C2×D3)⋊C4—62no—
254C4⋊Dic3—62no—
255Dic3⋊C4—62no—
256C4×Dic3—21no—
257C4×Dic3—21no—
258#208—68no—
259C2×C3⋊C8—21no—
260C2×C3⋊C8—21no—
261C2×C3⋊C8—21no—
262C2×C3⋊C8—21no—
263C2×C3⋊C8—21no—
264C2×C3⋊C8—32no—
265C2×C3⋊C8—32no—
266C2×C3⋊C8—62no—
267C2×C3⋊C8—61no—
268C2×C3⋊C8—61no—
269C2×C3⋊C8—61no—
270C2×C3⋊C8—61no—
271C2×C3⋊C8—121no—
272C2×C3⋊C8—121no—
273C2×C3⋊C8D1212yescomplemented
274ΓL(1,𝔽25)—68no—
275C22×C32C2×C22⋊C411yescharacteristic
276C22×C32C4×D411yescharacteristic
277C22×C32C4×D411yescharacteristic
278C22×C32C2×M1611yescharacteristic
279C22×C32C2×M1611yescharacteristic
280C22×C32#13111yescharacteristic
281C22×C32#13111yescharacteristic
282C2×C3⋊D3—22no—
283C2×C3⋊D3—22no—
284C2×C3⋊D3—22no—
285C2×C3⋊D3—41no—
286C2×C3⋊D3—41no—
287C2×C3⋊D3—41no—
288C2×C3⋊D3—41no—
289C2×C3×D3—22no—
290C2×C3×D3—22no—
291C2×C3×D3—22no—
292C2×C3×D3—41no—
293C2×C3×D3—41no—
294C2×C3×D3—41no—
295C2×C3×D3—41no—
296C32×C4#12011yescharacteristic
297C32×C4#12111yescharacteristic
298C32×C4#12111yescharacteristic
299C32×C4#12311yescharacteristic
300C3⋊Dic3—41no—
301C3×Dic3—22no—
302C3×Dic3—22no—
303C3×Dic3—41no—
304C22×D4—91no—
305C23×C4—31no—
306C23×C4—91no—
307C2×M16—182no—
308C2×M16—182no—
309C2×M16—182no—
310C22×C8—31no—
311C22×C8—31no—
312C22×C8—91no—
313C22×C8D3211yescharacteristic
314C4×D4—182no—
315C4×D4—182no—
316C2×C4⋊C4—91no—
317C2×C22⋊C4—91no—
318C2×C22⋊C4—91no—
319C2×C42—31no—
320C22⋊C8—62no—
321C22⋊C8—182no—
322C22⋊C8—182no—
323C23×C3—21no—
324C23×C3—32no—
325C23×C3—61no—
326C23×C3—61no—
327C23×C3—61no—
328C23×C3—61no—
329C23×C3—61no—
330C23×C3—61no—
331C23×C3C2×C4×D311yescharacteristic
332C23×C3C2×C4×D311yescharacteristic
333C22×D3—21no—
334C22×D3—21no—
335C22×D3—21no—
336C22×D3—21no—
337C22×D3—21no—
338C22×D3—21no—
339C22×D3—32no—
340C22×D3—32no—
341C22×D3—62no—
342C22×D3—62no—
343C22×D3—62no—
344C22×D3—61no—
345C22×D3—61no—
346C22×D3—61no—
347C22×D3—61no—
348C22×D3—61no—
349C22×D3—61no—
350C22×D3—61no—
351C22×D3—61no—
352C22×D3—61no—
353C22×D3—61no—
354C22×D3—61no—
355C22×D3—61no—
356C22×D3—121no—
357C22×D3—121no—
358C22×D3—121no—
359C22×D3—121no—
360C22×D3(C2×D3)⋊C412yes—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—32no—
368C2×C3×C4—32no—
369C2×C3×C4—61no—
370C2×C3×C4—61no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—62no—
374C2×C3×C4—62no—
375C2×C3×C4—62no—
376C2×C3×C4—62no—
377C2×C3×C4—61no—
378C2×C3×C4—61no—
379C2×C3×C4—61no—
380C2×C3×C4C2×D1211yescharacteristic
381C2×C3×C4C2×D1211yescharacteristic
382C2×C3×C4#23511yescharacteristic
383C2×C3×C4D3×D411yescharacteristic
384C2×C3×C4D3×D411yescharacteristic
385C2×C3×C4D3×D411yescharacteristic
386C2×C3×C4D3×D411yescharacteristic
387C2×C3×C4D3×D411yescharacteristic
388C2×C3×C4#23711yescharacteristic
389C2×C3×C4#23711yescharacteristic
390C2×C3×C4#23911yescharacteristic
391C2×C3×C4C2×#6711yescharacteristic
392#67—68no—
393C2×Dic3—21no—
394C2×Dic3—21no—
395C2×Dic3—21no—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—62no—
401C2×Dic3—61no—
402C2×Dic3—61no—
403C2×Dic3—61no—
404C2×Dic3—61no—
405C2×Dic3—61no—
406C2×Dic3—61no—
407C2×Dic3—121no—
408C2×Dic3—121no—
409C2×Dic3ΓL(1,𝔽25)12yescomplemented
410C2×Dic3(C2×D3)⋊C412yes—
411D12—68no—
412C4×D3—22no—
413C4×D3—22no—
414C4×D3—22no—
415C4×D3—22no—
416C4×D3—122no—
417C4×D3—122no—
418C4×D3—122no—
419C4×D3—122no—
420C4×D3—121no—
421C4×D3—121no—
422C4×D3—121no—
423C4×D3—121no—
424C4×D3—121no—
425C4×D3—121no—
426C4×D3—121no—
427C4×D3—121no—
428C3×C8—42no—
429C3×C8—41no—
430C3×C8—41no—
431C3×C8—62no—
432C3×C8—121no—
433C3⋊C8—22no—
434C3⋊C8—41no—
435C3⋊C8—62no—
436C3⋊C8—62no—
437C3⋊C8—122no—
438C2×C32#38611yescharacteristic
439C2×C32#40711yescharacteristic
440C2×C32#40811yescharacteristic
441C2×C32#43511yescharacteristic
442C2×C32#43511yescharacteristic
443C2×C32#43611yescharacteristic
444C2×C32#43611yescharacteristic
445C3⋊D3—42no—
446C3×D3—42no—
447C24—31no—
448C24—91no—
449C2×D4—182no—
450C2×D4—182no—
451C2×D4—182no—
452C22×C4—31no—
453C22×C4—31no—
454C22×C4—32no—
455C22×C4—32no—
456C22×C4—31no—
457C22×C4—61no—
458C22×C4—61no—
459C22×C4—61no—
460C22×C4—61no—
461C22×C4—91no—
462C22×C4—181no—
463C22×C4—181no—
464C22×C4—181no—
465C22×C4—181no—
466C22×C4—181no—
467C22×C4—181no—
468C22×C4C2×D3211yescharacteristic
469M16—188no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—32no—
474C2×C8—61no—
475C2×C8—61no—
476C2×C8—61no—
477C2×C8—61no—
478C2×C8—61no—
479C2×C8—92no—
480C2×C8—181no—
481C2×C8—181no—
482C4⋊C4—182no—
483C22⋊C4—182no—
484C22⋊C4—182no—
485C42—61no—
486C42—61no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—62no—
495C22×C3—62no—
496C22×C3—62no—
497C22×C3—121no—
498C22×C3—121no—
499C22×C3—121no—
500C22×C3—121no—
501C22×C3C4×D1211yescharacteristic
502C22×C3D3×C22⋊C411yescharacteristic
503C22×C3#67⋊C411yescharacteristic
504C22×C3#67⋊C411yescharacteristic
505C22×C3#89311yescharacteristic
506C22×C3C2×ΓL(1,𝔽25)11yescharacteristic
507C22×C3#90111yescharacteristic
508C22×C3#90111yescharacteristic
509C22×C3#90111yescharacteristic
510C22×C3D3×M1611yescharacteristic
511C22×C3D3×M1611yescharacteristic
512C22×C3D3×M1611yescharacteristic
513C22×C3#90711yescharacteristic
514C22×C3C2×(C2×D3)⋊C411yescharacteristic
515C2×D3—22no—
516C2×D3—22no—
517C2×D3—22no—
518C2×D3—41no—
519C2×D3—41no—
520C2×D3—41no—
521C2×D3—41no—
522C2×D3—64no—
523C2×D3—62no—
524C2×D3—62no—
525C2×D3—62no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—62no—
529C2×D3—122no—
530C2×D3—122no—
531C2×D3—122no—
532C2×D3—122no—
533C2×D3—122no—
534C2×D3—122no—
535C2×D3—121no—
536C2×D3—121no—
537C2×D3—121no—
538C2×D3—121no—
539C2×D3—121no—
540C2×D3—121no—
541C2×D3—121no—
542C2×D3—121no—
543C3×C4—21no—
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—62no—
548C3×C4—62no—
549C3×C4—121no—
550C3×C4#88211yescharacteristic
551C3×C4#88211yescharacteristic
552C3×C4#88411yescharacteristic
553C3×C4#88611yescharacteristic
554C3×C4#89411yescharacteristic
555C3×C4#89511yescharacteristic
556C3×C4#93911yescharacteristic
557C3×C4#93911yescharacteristic
558Dic3—22no—
559Dic3—22no—
560Dic3—41no—
561Dic3—122no—
562Dic3—121no—
563Dic3—121no—
564C32#187011yescharacteristic, complemented, Sylow
565C23—32no—
566C23—61no—
567C23—61no—
568C23—61no—
569C23—61no—
570C23—61no—
571C23—61no—
572C23—92no—
573C23—181no—
574C23—181no—
575C23—181no—
576C23—181no—
577C23—181no—
578C23—181no—
579C23C4×D3211yescharacteristic
580D4—188no—
581C2×C4—32no—
582C2×C4—32no—
583C2×C4—61no—
584C2×C4—61no—
585C2×C4—61no—
586C2×C4—61no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4—62no—
590C2×C4—62no—
591C2×C4—61no—
592C2×C4—61no—
593C2×C4—61no—
594C2×C4—181no—
595C2×C4—181no—
596C2×C4—181no—
597C2×C4—361no—
598C2×C4—361no—
599C2×C4—361no—
600C2×C4—361no—
601C2×C4#379611yescharacteristic
602C2×C4D3×D1211yescharacteristic
603C2×C4D3×D1211yescharacteristic
604C2×C4#380411yescharacteristic
605C2×C4D3×#6711yescharacteristic
606C2×C4#381111yescharacteristic
607C8—41no—
608C8—62no—
609C8—121no—
610C8—182no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—122no—
619C2×C3#466511yescharacteristic
620C2×C3#468811yescharacteristic
621C2×C3#470611yescharacteristic
622C2×C3#472611yescharacteristic
623C2×C3#472711yescharacteristic
624C2×C3#472811yescharacteristic
625C2×C3#472811yescharacteristic
626C2×C3#472911yescharacteristic
627C2×C3#472911yescharacteristic
628C2×C3#483611yescharacteristic
629C2×C3#483811yescharacteristic
630C2×C3#495811yescharacteristic
631C2×C3#511011yescharacteristic
632C2×C3#512611yescharacteristic
633D3—42no—
634D3—124no—
635D3—122no—
636D3—122no—
637C22—62no—
638C22—62no—
639C22—62no—
640C22—121no—
641C22—121no—
642C22—121no—
643C22—121no—
644C22—182no—
645C22—182no—
646C22—182no—
647C22—361no—
648C22—361no—
649C22—361no—
650C22—361no—
651C22D3×ΓL(1,𝔽25)11yescharacteristic
652C22#6379111yescharacteristic
653C22#6380311yescharacteristic
654C22#6380411yescharacteristic
655C22#6388011yescharacteristic
656C22#6388111yescharacteristic
657C22D3×(C2×D3)⋊C411yescharacteristic
658C4—62no—
659C4—62no—
660C4—121no—
661C4—361no—
662C4#6388611yescharacteristic
663C4#6389011yescharacteristic
664C4#6392311yescharacteristic
665C4#6397111yescharacteristic
666C3—21no—
667C3#6866911yescharacteristic, complemented
668C3#6995311yescharacteristic, complemented
669C2—122no—
670C2—362no—
671C2#1059073011yescharacteristic
672C2#1059073211yescharacteristic
673C2#1059073711yescharacteristic
674C2#1059073911yescharacteristic
675C2#1059093611yescharacteristic
676C2#1059095311yescharacteristic
677C2#1059136411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C2×D32
commutator, socleC23×C32C22×C4
FittingC22×C32×C8C22
prime radicalC22×#626C4
cosocleC22×C32×C4C23
hypercenterC22×C8D32
hypocenterC32#1870
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. C22×#3711C2semidirect
3. C2×#63647C2semidirect
4. C2×C3×(C2×D3)⋊C8C2semidirect
5. C2×#63557C2semidirect
6. C3×#4550C2semidirect
7. #10589155C2semidirect
39. C2×(C2×D3)⋊C8D3semidirect
42. #4550D3semidirect
71. C2×C3⋊(C3⋊C8)D4semidirect
79. C2×C3×C3⋊C8D4semidirect
134. C22×C3⋊D3M16semidirect
163. C2×C3×Dic3M16semidirect
273. C2×C3⋊C8D12semidirect
409. C2×Dic3ΓL(1,𝔽25)semidirect
564. C32#1870semidirect
667. C3#68669semidirect
668. C3#69953semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#6262
C22×#37112
C2×#636472
C2×C3×(C2×D3)⋊C82
C2×#635572
C3×#45502
#105891552
#699533
#686693