Finite Group Databasebeta

← #11787182

Subgroups — #11787182

Order 1152.

965 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3743C211yesmaximal, characteristic, complemented
2C2×C4×#626C211yesmaximal, characteristic
3C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
4C2×#63557C211yesmaximal, characteristic, complemented
5C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
6C3×#4550C211yesmaximal, characteristic, complemented
7#10589155C211yesmaximal, characteristic, complemented
8#69958—31nomaximal
9#68669—31nomaximal
10C22×C4×C3⋊D3C2211yescharacteristic
11C22×C3×C4×D3C2211yescharacteristic
12C22×#626C411yescharacteristic
13C22×C32×C8C2211yescharacteristic
14C22×C3⋊(C3⋊C8)C2211yescharacteristic
15C2×#3743—22no—
16C2×#3743—22no—
17C2×#3743—22no—
18C2×C3×C4×Dic3C2211yescharacteristic
19C22×C3×C3⋊C8C2211yescharacteristic
20C22×C3×C3⋊C8C2211yescharacteristic
21C2×Dic3⋊Dic3C411yescharacteristic
22C2×#3722C411yescharacteristic
23C2×(C2×D3)⋊Dic3C411yescharacteristic
24C4×#626—22no—
25C4×#626—22no—
26C3×(C2×D3)⋊C8—22no—
27#63557—22no—
28(C2×D3)⋊(C3⋊C8)—22no—
29C2×C4×#67—31no—
30C22×ΓL(1,𝔽25)—31no—
31C22×ΓL(1,𝔽25)—31no—
32C22×ΓL(1,𝔽25)—61no—
33C2×C4×D12—31no—
34C2×C3×C22⋊C8—31no—
35C2×#830—31no—
36C2×(C2×D3)⋊C8—31no—
37C2×(C2×D3)⋊C8—31no—
38C2×(C2×D3)⋊C8—31no—
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⋊D3D412yes—
53C2×C4×C3⋊D3D412yes—
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×D3—21no—
62C2×C3×C4×D3—21no—
63C2×#626—22no—
64C2×#626—22no—
65C2×#626—22no—
66C2×C32×C8—21no—
67C2×C32×C8—21no—
68C2×C32×C8D412yescomplemented
69C2×C3⋊(C3⋊C8)—21no—
70C2×C3⋊(C3⋊C8)—21no—
71C2×C3⋊(C3⋊C8)D412yescomplemented
72#3743—28no—
73C3×C4×Dic3—21no—
74C3×C4×Dic3—21no—
75C2×C3×C3⋊C8—21no—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8—21no—
78C2×C3×C3⋊C8—21no—
79C2×C3×C3⋊C8—21no—
80C2×C3×C3⋊C8—21no—
81Dic3⋊Dic3—22no—
82#3722—22no—
83(C2×D3)⋊Dic3—22no—
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
107C22×C3⋊C8—31no—
108C22×C3⋊C8—31no—
109C22×C3⋊C8—61no—
110C22×C3⋊C8C2×D311yescharacteristic
111C22×C3⋊C8C2×D311yescharacteristic
112C2×ΓL(1,𝔽25)—62no—
113C2×ΓL(1,𝔽25)—62no—
114C2×ΓL(1,𝔽25)—62no—
115C2×ΓL(1,𝔽25)—62no—
116C2×ΓL(1,𝔽25)—64no—
117C2×ΓL(1,𝔽25)—64no—
118C2×ΓL(1,𝔽25)—64no—
119C2×ΓL(1,𝔽25)—62no—
120C2×ΓL(1,𝔽25)—62no—
121C4×D12—62no—
122C4×D12—62no—
123C3×C22⋊C8—62no—
124#830—62no—
125(C2×D3)⋊C8—22no—
126(C2×D3)⋊C8—62no—
127(C2×D3)⋊C8—62no—
128(C2×D3)⋊C8—62no—
129C23×C32C22×C411yescharacteristic
130C22×C3⋊D3—21no—
131C22×C3⋊D3—21no—
132C22×C3⋊D3—21no—
133C22×C3⋊D3—21no—
134C22×C3⋊D3—21no—
135C22×C3⋊D3—21no—
136C22×C3⋊D3C22⋊C412yes—
137C22×C3×D3—21no—
138C22×C3×D3—21no—
139C22×C3×D3—21no—
140C22×C3×D3—21no—
141C22×C3×D3—21no—
142C22×C3×D3—21no—
143C22×C3×D3M1612yescomplemented
144C2×C32×C4C2×D411yescharacteristic
145C2×C32×C4C2×D411yescharacteristic
146C2×C32×C4C2×D411yescharacteristic
147C2×C32×C4C2×D411yescharacteristic
148C2×C32×C4#4111yescharacteristic
149C2×C32×C4#4111yescharacteristic
150C2×C3⋊Dic3—21no—
151C2×C3⋊Dic3—21no—
152C2×C3⋊Dic3C22⋊C412yes—
153C4×C3⋊D3—22no—
154C4×C3⋊D3—22no—
155C4×C3⋊D3—22no—
156C4×C3⋊D3—22no—
157C2×C3×Dic3—21no—
158C2×C3×Dic3—21no—
159C2×C3×Dic3—21no—
160C2×C3×Dic3—21no—
161C2×C3×Dic3—21no—
162C2×C3×Dic3—21no—
163C2×C3×Dic3—21no—
164C2×C3×Dic3—21no—
165C2×C3×Dic3M1612yescomplemented
166C3×C4×D3—41no—
167C3×C4×D3—41no—
168C3×C4×D3—41no—
169C3×C4×D3—41no—
170#626—28no—
171C32×C8—22no—
172C3⋊(C3⋊C8)—22no—
173C3×C3⋊C8—41no—
174C3×C3⋊C8—41no—
175C22×M16—91no—
176C2×C4×D4—91no—
177C2×C22⋊C8—31no—
178C2×C22⋊C8—91no—
179C2×C22⋊C8—91no—
180#336—31no—
181#336—91no—
182C24×C3—31no—
183C23×D3—31no—
184C23×D3—31no—
185C23×D3—61no—
186C23×D3C4×D311yescharacteristic
187C22×C3×C4—21no—
188C22×C3×C4—31no—
189C22×C3×C4—31no—
190C22×C3×C4—31no—
191C22×C3×C4—61no—
192C22×C3×C4—61no—
193C22×C3×C4—61no—
194C22×C3×C4—61no—
195C22×C3×C4—61no—
196C22×C3×C4—61no—
197C22×C3×C4C22×D311yescharacteristic
198C22×C3×C4C22×D311yescharacteristic
199C2×#67—62no—
200C2×#67—62no—
201C2×#67—62no—
202C22×Dic3—31no—
203C22×Dic3—31no—
204C22×Dic3—61no—
205C22×Dic3C4×D311yescharacteristic
206C22×Dic3C4×D311yescharacteristic
207C22×Dic3C4×D311yescharacteristic
208C2×D12—62no—
209C2×D12—62no—
210C2×D12—62no—
211C2×C4×D3—21no—
212C2×C4×D3—21no—
213C2×C4×D3—21no—
214C2×C4×D3—21no—
215C2×C4×D3—21no—
216C2×C4×D3—21no—
217C2×C4×D3—32no—
218C2×C4×D3—32no—
219C2×C4×D3—32no—
220C2×C4×D3—32no—
221C2×C4×D3—62no—
222C2×C4×D3—62no—
223C2×C4×D3—62no—
224C2×C4×D3—62no—
225C2×C4×D3—62no—
226C2×C4×D3—62no—
227C2×C4×D3—61no—
228C2×C4×D3—61no—
229C2×C4×D3—61no—
230C2×C4×D3—61no—
231C2×C4×D3—61no—
232C2×C4×D3—61no—
233C2×C4×D3—61no—
234C2×C4×D3—61no—
235C2×C3×C8—22no—
236C2×C3×C8—22no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—22no—
242C2×C3×C8—61no—
243C2×C3×C8—61no—
244C2×C3×C8—61no—
245C2×C3×C8—61no—
246C2×C3×C8—61no—
247C2×C3×C8—61no—
248C2×C3×C8D1212yescomplemented
249C2×C3×C8#6712yescomplemented
250C3×C42—61no—
251C3×C42—61no—
252#217—62no—
253(C2×D3)⋊C4—62no—
254(C2×D3)⋊C4—62no—
255(C2×D3)⋊C4—62no—
256C4⋊Dic3—62no—
257Dic3⋊C4—62no—
258C4×Dic3—21no—
259C4×Dic3—21no—
260C2×C3⋊C8—21no—
261C2×C3⋊C8—21no—
262C2×C3⋊C8—21no—
263C2×C3⋊C8—21no—
264C2×C3⋊C8—21no—
265C2×C3⋊C8—21no—
266C2×C3⋊C8—32no—
267C2×C3⋊C8—32no—
268C2×C3⋊C8—62no—
269C2×C3⋊C8—62no—
270C2×C3⋊C8—62no—
271C2×C3⋊C8—61no—
272C2×C3⋊C8—61no—
273C2×C3⋊C8—61no—
274C2×C3⋊C8—61no—
275ΓL(1,𝔽25)—616no—
276ΓL(1,𝔽25)—68no—
277ΓL(1,𝔽25)—68no—
278C22×C32C2×C22⋊C411yescharacteristic
279C22×C32C4×D411yescharacteristic
280C22×C32C4×D411yescharacteristic
281C22×C32C2×M1611yescharacteristic
282C22×C32C2×M1611yescharacteristic
283C22×C32#13111yescharacteristic
284C22×C32#13111yescharacteristic
285C2×C3⋊D3—22no—
286C2×C3⋊D3—22no—
287C2×C3⋊D3—22no—
288C2×C3⋊D3—41no—
289C2×C3⋊D3—41no—
290C2×C3⋊D3—41no—
291C2×C3⋊D3—41no—
292C2×C3×D3—22no—
293C2×C3×D3—22no—
294C2×C3×D3—22no—
295C2×C3×D3—41no—
296C2×C3×D3—41no—
297C2×C3×D3—41no—
298C2×C3×D3—41no—
299C32×C4#12011yescharacteristic
300C32×C4#12111yescharacteristic
301C32×C4#12111yescharacteristic
302C32×C4#12311yescharacteristic
303C3⋊Dic3—22no—
304C3×Dic3—22no—
305C3×Dic3—41no—
306C3×Dic3—41no—
307C22×D4—91no—
308C23×C4—31no—
309C23×C4—91no—
310C2×M16—182no—
311C2×M16—182no—
312C2×M16—182no—
313C22×C8—31no—
314C22×C8—31no—
315C22×C8—91no—
316C22×C8D3211yescharacteristic
317C4×D4—182no—
318C4×D4—182no—
319C2×C4⋊C4—91no—
320C2×C22⋊C4—91no—
321C2×C22⋊C4—91no—
322C2×C42—31no—
323C22⋊C8—62no—
324C22⋊C8—182no—
325C22⋊C8—182no—
326C23×C3—21no—
327C23×C3—32no—
328C23×C3—61no—
329C23×C3—61no—
330C23×C3—61no—
331C23×C3—61no—
332C23×C3—61no—
333C23×C3—61no—
334C23×C3C2×C4×D311yescharacteristic
335C23×C3C2×C4×D311yescharacteristic
336C22×D3—21no—
337C22×D3—21no—
338C22×D3—21no—
339C22×D3—21no—
340C22×D3—21no—
341C22×D3—21no—
342C22×D3—32no—
343C22×D3—32no—
344C22×D3—62no—
345C22×D3—62no—
346C22×D3—62no—
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—61no—
357C22×D3—61no—
358C22×D3—61no—
359C22×D3—121no—
360C22×D3—121no—
361C22×D3—121no—
362C22×D3—121no—
363C22×D3ΓL(1,𝔽25)12yescomplemented
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—32no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—61no—
378C2×C3×C4—61no—
379C2×C3×C4—121no—
380C2×C3×C4—121no—
381C2×C3×C4—121no—
382C2×C3×C4—121no—
383C2×C3×C4C2×D1211yescharacteristic
384C2×C3×C4#23511yescharacteristic
385C2×C3×C4#23511yescharacteristic
386C2×C3×C4D3×D411yescharacteristic
387C2×C3×C4D3×D411yescharacteristic
388C2×C3×C4D3×D411yescharacteristic
389C2×C3×C4D3×D411yescharacteristic
390C2×C3×C4D3×D411yescharacteristic
391C2×C3×C4D3×D411yescharacteristic
392C2×C3×C4#23711yescharacteristic
393C2×C3×C4#23911yescharacteristic
394C2×C3×C4C2×#6711yescharacteristic
395#67—68no—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—21no—
401C2×Dic3—21no—
402C2×Dic3—21no—
403C2×Dic3—21no—
404C2×Dic3—32no—
405C2×Dic3—32no—
406C2×Dic3—62no—
407C2×Dic3—62no—
408C2×Dic3—62no—
409C2×Dic3—61no—
410C2×Dic3—61no—
411C2×Dic3—61no—
412C2×Dic3—61no—
413C2×Dic3ΓL(1,𝔽25)12yescomplemented
414D12—68no—
415C4×D3—41no—
416C4×D3—41no—
417C4×D3—41no—
418C4×D3—41no—
419C4×D3—64no—
420C4×D3—64no—
421C4×D3—64no—
422C4×D3—64no—
423C4×D3—62no—
424C4×D3—62no—
425C4×D3—62no—
426C4×D3—62no—
427C4×D3—62no—
428C4×D3—62no—
429C4×D3—62no—
430C4×D3—62no—
431C3×C8—24no—
432C3×C8—22no—
433C3×C8—22no—
434C3×C8—121no—
435C3×C8—121no—
436C3⋊C8—41no—
437C3⋊C8—41no—
438C3⋊C8—64no—
439C3⋊C8—62no—
440C3⋊C8—62no—
441C2×C32#38611yescharacteristic
442C2×C32#40711yescharacteristic
443C2×C32#40811yescharacteristic
444C2×C32#43511yescharacteristic
445C2×C32#43511yescharacteristic
446C2×C32#43611yescharacteristic
447C2×C32#43611yescharacteristic
448C3⋊D3—42no—
449C3×D3—42no—
450C24—31no—
451C24—91no—
452C2×D4—182no—
453C2×D4—182no—
454C2×D4—182no—
455C22×C4—31no—
456C22×C4—31no—
457C22×C4—31no—
458C22×C4—61no—
459C22×C4—61no—
460C22×C4—61no—
461C22×C4—61no—
462C22×C4—61no—
463C22×C4—61no—
464C22×C4—91no—
465C22×C4—92no—
466C22×C4—92no—
467C22×C4—181no—
468C22×C4—181no—
469C22×C4—181no—
470C22×C4—181no—
471C22×C4C2×D3211yescharacteristic
472M16—188no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—61no—
476C2×C8—61no—
477C2×C8—61no—
478C2×C8—61no—
479C2×C8—61no—
480C2×C8—61no—
481C2×C8—92no—
482C2×C8—181no—
483C2×C8—181no—
484C2×C8#62612yescomplemented
485C4⋊C4—182no—
486C22⋊C4—182no—
487C22⋊C4—182no—
488C42—61no—
489C42—61no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—62no—
498C22×C3—62no—
499C22×C3—62no—
500C22×C3—121no—
501C22×C3—121no—
502C22×C3—121no—
503C22×C3—121no—
504C22×C3C4×D1211yescharacteristic
505C22×C3D3×C22⋊C411yescharacteristic
506C22×C3D3×C22⋊C411yescharacteristic
507C22×C3#67⋊C411yescharacteristic
508C22×C3#89311yescharacteristic
509C22×C3C2×ΓL(1,𝔽25)11yescharacteristic
510C22×C3C2×ΓL(1,𝔽25)11yescharacteristic
511C22×C3#90111yescharacteristic
512C22×C3#90111yescharacteristic
513C22×C3D3×M1611yescharacteristic
514C22×C3D3×M1611yescharacteristic
515C22×C3#90711yescharacteristic
516C22×C3#90711yescharacteristic
517C22×C3C4×#6711yescharacteristic
518C2×D3—22no—
519C2×D3—22no—
520C2×D3—22no—
521C2×D3—41no—
522C2×D3—41no—
523C2×D3—41no—
524C2×D3—41no—
525C2×D3—64no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—62no—
529C2×D3—62no—
530C2×D3—62no—
531C2×D3—62no—
532C2×D3—122no—
533C2×D3—122no—
534C2×D3—122no—
535C2×D3—122no—
536C2×D3—122no—
537C2×D3—122no—
538C2×D3—121no—
539C2×D3—121no—
540C2×D3—121no—
541C2×D3—121no—
542C2×D3—121no—
543C2×D3—121no—
544C2×D3—121no—
545C2×D3—121no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—21no—
550C3×C4—62no—
551C3×C4—121no—
552C3×C4—121no—
553C3×C4#88211yescharacteristic
554C3×C4#88311yescharacteristic
555C3×C4#88411yescharacteristic
556C3×C4#88411yescharacteristic
557C3×C4#89411yescharacteristic
558C3×C4#89511yescharacteristic
559C3×C4#93711yescharacteristic
560C3×C4#93811yescharacteristic
561Dic3—22no—
562Dic3—41no—
563Dic3—41no—
564Dic3—64no—
565Dic3—62no—
566Dic3—62no—
567C32#187011yescharacteristic, complemented, Sylow
568C23—32no—
569C23—61no—
570C23—61no—
571C23—61no—
572C23—61no—
573C23—61no—
574C23—61no—
575C23—92no—
576C23—181no—
577C23—181no—
578C23—181no—
579C23—181no—
580C23—181no—
581C23—181no—
582C23C4×D3211yescharacteristic
583D4—188no—
584C2×C4—32no—
585C2×C4—61no—
586C2×C4—61no—
587C2×C4—61no—
588C2×C4—61no—
589C2×C4—61no—
590C2×C4—61no—
591C2×C4—61no—
592C2×C4—61no—
593C2×C4—92no—
594C2×C4—121no—
595C2×C4—121no—
596C2×C4—121no—
597C2×C4—121no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—182no—
601C2×C4—182no—
602C2×C4—182no—
603C2×C4—182no—
604C2×C4#379611yescharacteristic
605C2×C4#379811yescharacteristic
606C2×C4#380211yescharacteristic
607C2×C4C2×#62611yescharacteristic
608C2×C4#381111yescharacteristic
609C2×C4#381111yescharacteristic
610C8—22no—
611C8—121no—
612C8—121no—
613C8—182no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—122no—
622C2×C3#466511yescharacteristic
623C2×C3#468811yescharacteristic
624C2×C3#470611yescharacteristic
625C2×C3#472611yescharacteristic
626C2×C3#472611yescharacteristic
627C2×C3#472711yescharacteristic
628C2×C3#472711yescharacteristic
629C2×C3#472911yescharacteristic
630C2×C3#473011yescharacteristic
631C2×C3#483611yescharacteristic
632C2×C3#483811yescharacteristic
633C2×C3#495611yescharacteristic
634C2×C3#511111yescharacteristic
635C2×C3#512811yescharacteristic
636D3—42no—
637D3—124no—
638D3—122no—
639D3—122no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22—121no—
644C22—121no—
645C22—121no—
646C22—121no—
647C22—182no—
648C22—182no—
649C22—182no—
650C22—361no—
651C22—361no—
652C22—361no—
653C22—361no—
654C22D3×ΓL(1,𝔽25)11yescharacteristic
655C22D3×ΓL(1,𝔽25)11yescharacteristic
656C22#6380411yescharacteristic
657C22#6380411yescharacteristic
658C22#6388111yescharacteristic
659C22C4×#62611yescharacteristic
660C22#6392111yescharacteristic
661C4—62no—
662C4—121no—
663C4—121no—
664C4—182no—
665C4#6385311yescharacteristic
666C4#6391211yescharacteristic
667C4#6391611yescharacteristic
668C4#6398111yescharacteristic
669C3—21no—
670C3#6866911yescharacteristic, complemented
671C3#6995811yescharacteristic, complemented
672C2—122no—
673C2—362no—
674C2#1059072611yescharacteristic
675C2#1059072911yescharacteristic
676C2#1059073211yescharacteristic
677C2#1059090711yescharacteristic
678C2#1059093711yescharacteristic
679C2#1059095911yescharacteristic
680C2#1059138711yescharacteristic
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
1. C22×#3743C2semidirect
3. C2×C3×(C2×D3)⋊C8C2semidirect
4. C2×#63557C2semidirect
5. C2×(C2×D3)⋊(C3⋊C8)C2semidirect
6. C3×#4550C2semidirect
7. #10589155C2semidirect
39. C2×(C2×D3)⋊C8D3semidirect
42. #4550D3semidirect
68. C2×C32×C8D4semidirect
71. C2×C3⋊(C3⋊C8)D4semidirect
143. C22×C3×D3M16semidirect
165. C2×C3×Dic3M16semidirect
248. C2×C3×C8D12semidirect
249. C2×C3×C8#67semidirect
363. C22×D3ΓL(1,𝔽25)semidirect
413. C2×Dic3ΓL(1,𝔽25)semidirect
484. C2×C8#626semidirect
567. C32#1870semidirect
670. C3#68669semidirect
671. C3#69958semidirect

Maximal subgroups

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

subgroupindex
C22×#37432
C2×C4×#6262
C2×C3×(C2×D3)⋊C82
C2×#635572
C2×(C2×D3)⋊(C3⋊C8)2
C3×#45502
#105891552
#699583
#686693