Finite Group Databasebeta

← #11790566

Subgroups — #11790566

Order 1152.

893 conjugacy classes of subgroups.

The subgroup lattice has 675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#626C211yesmaximal, characteristic
2C2×#63647C211yesmaximal, characteristic, complemented
3C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
4C2×C3×C8×Dic3C211yesmaximal, characteristic, complemented
5C2×Dic3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
6C2×#63557C211yesmaximal, characteristic, complemented
7C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8#69916—31nomaximal
9#69787—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—
23#63647—22no—
24C3×(C2×D3)⋊C8—22no—
25C3×C8×Dic3—22no—
26Dic3⋊(C3⋊C8)—22no—
27#63557—22no—
28(C2×D3)⋊(C3⋊C8)—22no—
29C2×C4×#67—31no—
30C2×C4×D12—31no—
31C2×C3×C22⋊C8—31no—
32C2×C3×C4×C8—31no—
33C2×#830—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—31no—
39C2×(C2×D3)⋊C8—61no—
40C2×(C2×D3)⋊C8D311yescharacteristic, complemented
41C2×Dic3⋊C8—31no—
42C2×C8×Dic3D311yescharacteristic, complemented
43C2×C4⋊(C3⋊C8)—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×D3—21no—
62C2×C3×C4×D3—21no—
63C2×#626—22no—
64C2×#626—22no—
65C2×#626C814yescomplemented
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)—21no—
72C3×C4×Dic3D412yes—
73C3×C4×Dic3D412yes—
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#1954—91noSylow
84C23×C3×C4—31no—
85C22×#67—31no—
86C22×D12—31no—
87C22×C4×D3—31no—
88C22×C4×D3—31no—
89C22×C4×D3—61no—
90C22×C4×D3C2×D311yescharacteristic
91C22×C3×C8—21no—
92C22×C3×C8—31no—
93C22×C3×C8—31no—
94C22×C3×C8C2×D311yescharacteristic
95C22×C3×C8C2×D311yescharacteristic
96C2×C3×C42—31no—
97C2×#217—31no—
98C4×#67—62no—
99C4×#67—62no—
100C2×(C2×D3)⋊C4—31no—
101C2×(C2×D3)⋊C4—31no—
102C2×(C2×D3)⋊C4—31no—
103C2×C4⋊Dic3—31no—
104C2×Dic3⋊C4—31no—
105C2×C4×Dic3C2×D311yescharacteristic
106C22×C3⋊C8—31no—
107C22×C3⋊C8—31no—
108C22×C3⋊C8—61no—
109C22×C3⋊C8C2×D311yescharacteristic
110C22×C3⋊C8C2×D311yescharacteristic
111C4×D12—62no—
112C4×D12—62no—
113C3×C22⋊C8—62no—
114C3×C4×C8—62no—
115#830—62no—
116(C2×D3)⋊C8—22no—
117(C2×D3)⋊C8—62no—
118(C2×D3)⋊C8—64no—
119(C2×D3)⋊C8—62no—
120(C2×D3)⋊C8—62no—
121(C2×D3)⋊C8—62no—
122(C2×D3)⋊C8—62no—
123Dic3⋊C8—62no—
124C8×Dic3—22no—
125C4⋊(C3⋊C8)—62no—
126C23×C32C22×C411yescharacteristic
127C22×C3⋊D3—21no—
128C22×C3⋊D3—21no—
129C22×C3⋊D3—21no—
130C22×C3⋊D3—21no—
131C22×C3⋊D3—21no—
132C22×C3⋊D3—21no—
133C22×C3⋊D3C2×C812yes—
134C22×C3×D3—21no—
135C22×C3×D3—21no—
136C22×C3×D3—21no—
137C22×C3×D3—21no—
138C22×C3×D3—21no—
139C22×C3×D3—21no—
140C22×C3×D3C2×C812yes—
141C2×C32×C4C2×D411yescharacteristic
142C2×C32×C4C2×D411yescharacteristic
143C2×C32×C4C2×D411yescharacteristic
144C2×C32×C4C2×D411yescharacteristic
145C2×C32×C4#4111yescharacteristic
146C2×C32×C4#4111yescharacteristic
147C2×C3⋊Dic3—21no—
148C2×C3⋊Dic3—21no—
149C2×C3⋊Dic3—21no—
150C4×C3⋊D3—41no—
151C4×C3⋊D3—41no—
152C4×C3⋊D3—41no—
153C4×C3⋊D3—41no—
154C2×C3×Dic3—21no—
155C2×C3×Dic3—21no—
156C2×C3×Dic3—21no—
157C2×C3×Dic3—21no—
158C2×C3×Dic3—21no—
159C2×C3×Dic3C22⋊C412yes—
160C2×C3×Dic3C22⋊C412yes—
161C2×C3×Dic3C2×C812yes—
162C2×C3×Dic3M1612yes—
163C3×C4×D3—41no—
164C3×C4×D3—41no—
165C3×C4×D3—41no—
166C3×C4×D3—41no—
167#626—28no—
168C32×C8—22no—
169C3⋊(C3⋊C8)—41no—
170C3×C3⋊C8—22no—
171C3×C3⋊C8—41no—
172C2×C4×D4—91no—
173C2×C4⋊C8—91no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—91no—
176C2×C22⋊C8—91no—
177C2×C22⋊C8—91no—
178C2×C4×C8—31no—
179C24×C3—31no—
180C23×D3—31no—
181C23×D3—31no—
182C23×D3—61no—
183C23×D3C4×D311yescharacteristic
184C22×C3×C4—21no—
185C22×C3×C4—31no—
186C22×C3×C4—31no—
187C22×C3×C4—31no—
188C22×C3×C4—61no—
189C22×C3×C4—61no—
190C22×C3×C4—61no—
191C22×C3×C4—61no—
192C22×C3×C4—61no—
193C22×C3×C4—61no—
194C22×C3×C4C22×D311yescharacteristic
195C22×C3×C4C22×D311yescharacteristic
196C2×#67—34no—
197C2×#67—62no—
198C2×#67—62no—
199C22×Dic3—31no—
200C22×Dic3—31no—
201C22×Dic3—61no—
202C22×Dic3C4×D311yescharacteristic
203C22×Dic3C4×D311yescharacteristic
204C22×Dic3C4×D311yescharacteristic
205C2×D12—34no—
206C2×D12—62no—
207C2×D12—62no—
208C2×C4×D3—21no—
209C2×C4×D3—21no—
210C2×C4×D3—21no—
211C2×C4×D3—21no—
212C2×C4×D3—21no—
213C2×C4×D3—21no—
214C2×C4×D3—62no—
215C2×C4×D3—62no—
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—61no—
228C2×C4×D3—121no—
229C2×C4×D3—121no—
230C2×C4×D3—121no—
231C2×C4×D3—121no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—22no—
237C2×C3×C8—32no—
238C2×C3×C8—41no—
239C2×C3×C8—41no—
240C2×C3×C8—61no—
241C2×C3×C8—61no—
242C2×C3×C8—61no—
243C2×C3×C8—61no—
244C2×C3×C8—61no—
245C2×C3×C8D1212yescomplemented
246C2×C3×C8#6712yescomplemented
247C3×C42—32no—
248C3×C42—32no—
249#217—62no—
250(C2×D3)⋊C4—62no—
251(C2×D3)⋊C4—62no—
252(C2×D3)⋊C4—62no—
253C4⋊Dic3—62no—
254Dic3⋊C4—62no—
255C4×Dic3D1212yes—
256C4×Dic3#6712yes—
257C2×C3⋊C8—21no—
258C2×C3⋊C8—21no—
259C2×C3⋊C8—21no—
260C2×C3⋊C8—21no—
261C2×C3⋊C8—21no—
262C2×C3⋊C8—62no—
263C2×C3⋊C8—61no—
264C2×C3⋊C8—61no—
265C2×C3⋊C8—61no—
266C2×C3⋊C8—61no—
267C2×C3⋊C8—61no—
268C2×C3⋊C8—61no—
269C2×C3⋊C8—121no—
270C2×C3⋊C8—121no—
271C2×C3⋊C8D1212yescomplemented
272C22×C32C2×C22⋊C411yescharacteristic
273C22×C32C4×D411yescharacteristic
274C22×C32C4×D411yescharacteristic
275C22×C32C22×C811yescharacteristic
276C22×C32C2×M1611yescharacteristic
277C22×C32#13111yescharacteristic
278C22×C32#13111yescharacteristic
279C2×C3⋊D3—22no—
280C2×C3⋊D3—22no—
281C2×C3⋊D3—22no—
282C2×C3⋊D3—41no—
283C2×C3⋊D3—41no—
284C2×C3⋊D3—41no—
285C2×C3⋊D3—41no—
286C2×C3×D3—22no—
287C2×C3×D3—22no—
288C2×C3×D3—22no—
289C2×C3×D3—41no—
290C2×C3×D3—41no—
291C2×C3×D3—41no—
292C2×C3×D3—41no—
293C32×C4#12111yescharacteristic
294C32×C4#12111yescharacteristic
295C32×C4#12411yescharacteristic
296C32×C4#12711yescharacteristic
297C3⋊Dic3—41no—
298C3×Dic3—22no—
299C3×Dic3—41no—
300C3×Dic3C22⋊C814yescomplemented
301C22×D4—91no—
302C23×C4—31no—
303C23×C4—91no—
304C22×C8—31no—
305C22×C8—31no—
306C22×C8—91no—
307C22×C8D3211yescharacteristic
308C4×D4—182no—
309C4×D4—182no—
310C2×C4⋊C4—91no—
311C2×C22⋊C4—91no—
312C2×C22⋊C4—91no—
313C2×C42—31no—
314C4⋊C8—182no—
315C22⋊C8—62no—
316C22⋊C8—182no—
317C22⋊C8—182no—
318C22⋊C8—182no—
319C4×C8—62no—
320C23×C3—21no—
321C23×C3—32no—
322C23×C3—61no—
323C23×C3—61no—
324C23×C3—61no—
325C23×C3—61no—
326C23×C3—61no—
327C23×C3—61no—
328C23×C3C2×C4×D311yescharacteristic
329C23×C3C2×C4×D311yescharacteristic
330C22×D3—21no—
331C22×D3—21no—
332C22×D3—21no—
333C22×D3—21no—
334C22×D3—21no—
335C22×D3—21no—
336C22×D3—32no—
337C22×D3—32no—
338C22×D3—62no—
339C22×D3—62no—
340C22×D3—62no—
341C22×D3—61no—
342C22×D3—61no—
343C22×D3—61no—
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—121no—
354C22×D3—121no—
355C22×D3—121no—
356C22×D3—121no—
357C22×D3D3×C812yes—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—32no—
365C2×C3×C4—32no—
366C2×C3×C4—32no—
367C2×C3×C4—32no—
368C2×C3×C4—61no—
369C2×C3×C4—61no—
370C2×C3×C4—61no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—121no—
374C2×C3×C4—121no—
375C2×C3×C4—121no—
376C2×C3×C4—121no—
377C2×C3×C4C2×D1211yescharacteristic
378C2×C3×C4C2×D1211yescharacteristic
379C2×C3×C4C2×D1211yescharacteristic
380C2×C3×C4#23511yescharacteristic
381C2×C3×C4#23511yescharacteristic
382C2×C3×C4#23511yescharacteristic
383C2×C3×C4D3×D411yescharacteristic
384C2×C3×C4D3×D411yescharacteristic
385C2×C3×C4D3×D411yescharacteristic
386C2×C3×C4#23711yescharacteristic
387C2×C3×C4C2×#6711yescharacteristic
388C2×C3×C4C2×#6711yescharacteristic
389#67—68no—
390C2×Dic3—21no—
391C2×Dic3—21no—
392C2×Dic3—21no—
393C2×Dic3—21no—
394C2×Dic3—21no—
395C2×Dic3—62no—
396C2×Dic3—61no—
397C2×Dic3—61no—
398C2×Dic3—61no—
399C2×Dic3—61no—
400C2×Dic3—61no—
401C2×Dic3—61no—
402C2×Dic3—121no—
403C2×Dic3—121no—
404C2×Dic3D3×C812yes—
405C2×Dic3ΓL(1,𝔽25)12yes—
406C2×Dic3(C2×D3)⋊C412yes—
407C2×Dic3(C2×D3)⋊C412yes—
408D12—68no—
409C4×D3—41no—
410C4×D3—41no—
411C4×D3—41no—
412C4×D3—41no—
413C4×D3—122no—
414C4×D3—122no—
415C4×D3—122no—
416C4×D3—122no—
417C4×D3—121no—
418C4×D3—121no—
419C4×D3—121no—
420C4×D3—121no—
421C4×D3—121no—
422C4×D3—121no—
423C4×D3—121no—
424C4×D3—121no—
425C3×C8—22no—
426C3×C8—22no—
427C3×C8—42no—
428C3×C8—62no—
429C3×C8—121no—
430C3⋊C8—22no—
431C3⋊C8—41no—
432C3⋊C8—122no—
433C3⋊C8—121no—
434C3⋊C8—121no—
435C2×C32#39011yescharacteristic
436C2×C32C2×C22⋊C811yescharacteristic
437C2×C32#40811yescharacteristic
438C2×C32C8×D411yescharacteristic
439C2×C32C8×D411yescharacteristic
440C2×C32#43611yescharacteristic
441C2×C32#43611yescharacteristic
442C3⋊D3—42no—
443C3×D3—42no—
444C24—31no—
445C24—91no—
446C2×D4—94no—
447C2×D4—182no—
448C2×D4—182no—
449C22×C4—31no—
450C22×C4—31no—
451C22×C4—31no—
452C22×C4—61no—
453C22×C4—61no—
454C22×C4—61no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—61no—
458C22×C4—91no—
459C22×C4—181no—
460C22×C4—181no—
461C22×C4—181no—
462C22×C4—181no—
463C22×C4—181no—
464C22×C4—181no—
465C22×C4C2×D3211yescharacteristic
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—32no—
469C2×C8—61no—
470C2×C8—61no—
471C2×C8—61no—
472C2×C8—61no—
473C2×C8—61no—
474C2×C8—181no—
475C2×C8—181no—
476C2×C8—181no—
477C2×C8#62612yescomplemented
478C4⋊C4—182no—
479C22⋊C4—182no—
480C22⋊C4—182no—
481C42—32no—
482C42—32no—
483C22×C3—21no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—62no—
491C22×C3—62no—
492C22×C3—62no—
493C22×C3—121no—
494C22×C3—121no—
495C22×C3—121no—
496C22×C3—121no—
497C22×C3C4×D1211yescharacteristic
498C22×C3C4×D1211yescharacteristic
499C22×C3D3×C22⋊C411yescharacteristic
500C22×C3#67⋊C411yescharacteristic
501C22×C3C2×D3×C811yescharacteristic
502C22×C3C2×D3×C811yescharacteristic
503C22×C3C2×ΓL(1,𝔽25)11yescharacteristic
504C22×C3#90111yescharacteristic
505C22×C3#90111yescharacteristic
506C22×C3#90111yescharacteristic
507C22×C3D3×M1611yescharacteristic
508C22×C3#90711yescharacteristic
509C22×C3C2×(C2×D3)⋊C411yescharacteristic
510C22×C3C4×#6711yescharacteristic
511C2×D3—22no—
512C2×D3—22no—
513C2×D3—22no—
514C2×D3—41no—
515C2×D3—41no—
516C2×D3—41no—
517C2×D3—41no—
518C2×D3—64no—
519C2×D3—62no—
520C2×D3—62no—
521C2×D3—62no—
522C2×D3—62no—
523C2×D3—62no—
524C2×D3—62no—
525C2×D3—122no—
526C2×D3—122no—
527C2×D3—122no—
528C2×D3—122no—
529C2×D3—122no—
530C2×D3—122no—
531C2×D3—121no—
532C2×D3—121no—
533C2×D3—121no—
534C2×D3—121no—
535C2×D3—121no—
536C2×D3—121no—
537C2×D3—121no—
538C2×D3—121no—
539C3×C4—21no—
540C3×C4—21no—
541C3×C4—21no—
542C3×C4—21no—
543C3×C4—34no—
544C3×C4—62no—
545C3×C4—121no—
546C3×C4#87411yescharacteristic
547C3×C4#87511yescharacteristic
548C3×C4#88411yescharacteristic
549C3×C4#88511yescharacteristic
550C3×C4#93011yescharacteristic
551C3×C4#93011yescharacteristic
552C3×C4#93911yescharacteristic
553C3×C4#94011yescharacteristic
554Dic3—22no—
555Dic3—41no—
556Dic3—122no—
557Dic3—121no—
558Dic3—121no—
559Dic3(C2×D3)⋊C814yescomplemented
560C32#195411yescharacteristic, complemented, Sylow
561C23—32no—
562C23—61no—
563C23—61no—
564C23—61no—
565C23—61no—
566C23—61no—
567C23—61no—
568C23—92no—
569C23—181no—
570C23—181no—
571C23—181no—
572C23—181no—
573C23—181no—
574C23—181no—
575C23C4×D3211yescharacteristic
576D4—188no—
577C2×C4—32no—
578C2×C4—32no—
579C2×C4—32no—
580C2×C4—32no—
581C2×C4—61no—
582C2×C4—61no—
583C2×C4—61no—
584C2×C4—61no—
585C2×C4—61no—
586C2×C4—121no—
587C2×C4—121no—
588C2×C4—121no—
589C2×C4—121no—
590C2×C4—181no—
591C2×C4—181no—
592C2×C4—181no—
593C2×C4—361no—
594C2×C4—361no—
595C2×C4—361no—
596C2×C4—361no—
597C2×C4#379811yescharacteristic
598C2×C4D3×D1211yescharacteristic
599C2×C4D3×D1211yescharacteristic
600C2×C4#380411yescharacteristic
601C2×C4C2×#62611yescharacteristic
602C2×C4D3×#6711yescharacteristic
603C8—22no—
604C8—62no—
605C8—121no—
606C8—361no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—122no—
615C2×C3C8×D1211yescharacteristic
616C2×C3C8×D1211yescharacteristic
617C2×C3#468811yescharacteristic
618C2×C3#468811yescharacteristic
619C2×C3D3×C22⋊C811yescharacteristic
620C2×C3#67⋊C811yescharacteristic
621C2×C3#472711yescharacteristic
622C2×C3#472911yescharacteristic
623C2×C3#493911yescharacteristic
624C2×C3#495711yescharacteristic
625C2×C3C2×(C2×D3)⋊C811yescharacteristic
626C2×C3C8×#6711yescharacteristic
627C2×C3#511011yescharacteristic
628C2×C3#512811yescharacteristic
629D3—42no—
630D3—124no—
631D3—122no—
632D3—122no—
633C22—62no—
634C22—62no—
635C22—62no—
636C22—121no—
637C22—121no—
638C22—121no—
639C22—121no—
640C22—182no—
641C22—182no—
642C22—182no—
643C22—361no—
644C22—361no—
645C22—361no—
646C22—361no—
647C22D32×C811yescharacteristic
648C22D3×ΓL(1,𝔽25)11yescharacteristic
649C22#6380311yescharacteristic
650C22#6380411yescharacteristic
651C22#6388011yescharacteristic
652C22C4×#62611yescharacteristic
653C22D3×(C2×D3)⋊C411yescharacteristic
654C4—34no—
655C4—62no—
656C4—121no—
657C4—361no—
658C4#6385211yescharacteristic
659C4#6390611yescharacteristic
660C4#6391111yescharacteristic
661C4#6397811yescharacteristic
662C3—21no—
663C3#6978711yescharacteristic, complemented
664C3#6991611yescharacteristic, complemented
665C2—122no—
666C2—362no—
667C2C8×#62611yescharacteristic
668C2#1059072111yescharacteristic
669C2#1059072911yescharacteristic
670C2#1059073011yescharacteristic
671C2D3×(C2×D3)⋊C811yescharacteristic
672C2#1059095311yescharacteristic
673C2#1059138311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C2×D32
commutatorC22×C32C22×C8
FittingC22×C32×C8C22
socleC23×C32C22×C4
prime radicalC22×#626C4
cosocleC22×C32×C4C23
hypercenterC22×C8D32
hypocenterC32#1954
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. C2×#63647C2semidirect
3. C2×C3×(C2×D3)⋊C8C2semidirect
4. C2×C3×C8×Dic3C2semidirect
5. C2×Dic3⋊(C3⋊C8)C2semidirect
6. C2×#63557C2semidirect
7. C2×(C2×D3)⋊(C3⋊C8)C2semidirect
40. C2×(C2×D3)⋊C8D3semidirect
42. C2×C8×Dic3D3semidirect
65. C2×#626C8semidirect
68. C2×C32×C8D4semidirect
79. C2×C3×C3⋊C8D4semidirect
245. C2×C3×C8D12semidirect
246. C2×C3×C8#67semidirect
271. C2×C3⋊C8D12semidirect
300. C3×Dic3C22⋊C8semidirect
477. C2×C8#626semidirect
559. Dic3(C2×D3)⋊C8semidirect
560. C32#1954semidirect
663. C3#69787semidirect
664. C3#69916semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#6262
C2×#636472
C2×C3×(C2×D3)⋊C82
C2×C3×C8×Dic32
C2×Dic3⋊(C3⋊C8)2
C2×#635572
C2×(C2×D3)⋊(C3⋊C8)2
#699163
#697873