Finite Group Databasebeta

← #10804104

Subgroups — #10804104

Order 768.

1470 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5547C211yesmaximal, characteristic
2C2×#5126C211yesmaximal, characteristic, complemented
3C2×#4726C211yesmaximal, characteristic, complemented
4C3×#1870C211yesmaximal, characteristic, complemented
5#71996C211yesmaximal, characteristic, complemented
6#71611C211yesmaximal, characteristic, complemented
7#69958C212yesmaximal, complemented
8#69956C212yesmaximal, complemented
9#69953C211yesmaximal, characteristic, complemented
10#68669C212yesmaximal, complemented
11#68665C212yesmaximal, complemented
12#21743—31nomaximal, Sylow
13C22×#235C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C22×C3×M16C2211yescharacteristic
16C2×C3×C4×D4C2211yescharacteristic
17C2×#939C411yescharacteristic
18C2×#937C411yescharacteristic
19C2×C4×#67C2211yescharacteristic
20C2×C4×#67C2211yescharacteristic
21C22×#208C2211yescharacteristic
22C22×ΓL(1,𝔽25)C2212yes—
23#5547—24no—
24#5547—24no—
25C2×#896C411yescharacteristic
26C2×#894C411yescharacteristic
27C2×#884C411yescharacteristic
28C2×#883C411yescharacteristic
29C2×#882C411yescharacteristic
30C2×#878C411yescharacteristic
31C2×C4×D12C2211yescharacteristic
32C2×#872C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×C3×C22⋊C8C2212yescomplemented
35C2×#830C2211yescharacteristic
36C2×#830C2212yescomplemented
37#5126—24no—
38C2×(C2×D3)⋊C8C2212yes—
39C2×(C2×D3)⋊C8C2212yes—
40C2×(C2×D3)⋊C8C2212yes—
41C2×(C2×D3)⋊C8C2212yescomplemented
42C2×(C2×D3)⋊C8C2212yescomplemented
43#4726—24no—
44C3×#336C2212yescomplemented
45#4550C2212yescomplemented
46#4550C2212yescomplemented
47#4524C2212yescomplemented
48C2×#525—31no—
49C2×#407—31no—
50C2×#407—31no—
51#1870—31no—
52#1870—32no—
53#1870—32no—
54#1870—31no—
55#1870—31no—
56#1870D311yescharacteristic, complemented
57#1818—32no—
58#1780—32no—
59C24×D3C2×C411yescharacteristic
60C22×C3×D4C2×C411yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2311yescharacteristic
63C22×#67C2×C411yescharacteristic
64C22×#67C2×C411yescharacteristic
65C22×#67C2×C411yescharacteristic
66C22×#67C2×C411yescharacteristic
67C23×Dic3C2×C411yescharacteristic
68C2×#235—22no—
69C2×#235—22no—
70C2×#235—42no—
71C2×#235—42no—
72C22×D12C2×C411yescharacteristic
73C22×D12C2×C411yescharacteristic
74C22×C4×D3—42no—
75C22×C4×D3—42no—
76C22×C4×D3C2×C411yescharacteristic
77C22×C4×D3C2×C411yescharacteristic
78C22×C4×D3D414yes—
79C22×C4×D3D414yes—
80C22×C4×D3C2311yescharacteristic
81C22×C4×D3C2311yescharacteristic
82C22×C4×D3C2311yescharacteristic
83C22×Dic6C2×C411yescharacteristic
84C2×C3×M16—22no—
85C2×C3×M16—42no—
86C22×C3×C8C2312yes—
87C22×C3×C8C2312yes—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C2×C3×C4⋊C4C2×C411yescharacteristic
91C2×C3×C22⋊C4C2×C411yescharacteristic
92C2×C3×C22⋊C4C2×C411yescharacteristic
93C2×C3×C42C2311yescharacteristic
94C2×#217C2×C411yescharacteristic
95C2×#217C2×C411yescharacteristic
96#939—24no—
97#937—24no—
98C4×#67—22no—
99C4×#67—22no—
100C4×#67—22no—
101C4×#67—22no—
102C2×(C2×D3)⋊C4C2×C411yescharacteristic
103C2×(C2×D3)⋊C4C2×C411yescharacteristic
104C2×(C2×D3)⋊C4C2×C411yescharacteristic
105C2×(C2×D3)⋊C4C2×C411yescharacteristic
106C2×(C2×D3)⋊C4C2×C411yescharacteristic
107C2×(C2×D3)⋊C4C2×C411yescharacteristic
108C2×C4⋊Dic3C2×C411yescharacteristic
109C2×Dic3⋊C4C2×C411yescharacteristic
110C2×Dic3⋊C4C2×C411yescharacteristic
111C2×Dic3⋊C4C2×C411yescharacteristic
112C2×Dic3⋊C4C2×C411yescharacteristic
113C2×C4×Dic3C2311yescharacteristic
114C2×#208—22no—
115C2×#208—42no—
116C22×C3⋊C8C2312yes—
117C22×C3⋊C8C2312yes—
118C2×ΓL(1,𝔽25)—24no—
119C2×ΓL(1,𝔽25)—42no—
120C2×ΓL(1,𝔽25)—42no—
121#896—24no—
122#894—24no—
123#884—24no—
124#883—24no—
125#882—24no—
126#878—24no—
127C4×D12—22no—
128C4×D12—22no—
129#872—22no—
130#872—22no—
131C3×C22⋊C8—22no—
132C3×C22⋊C8—42no—
133#830—22no—
134#830—42no—
135(C2×D3)⋊C8—24no—
136(C2×D3)⋊C8—24no—
137(C2×D3)⋊C8—24no—
138(C2×D3)⋊C8—42no—
139(C2×D3)⋊C8—42no—
140C22×#41—31no—
141C24×C4—31no—
142C22×M16—31no—
143C22×M16—32no—
144C22×M16C2×D311yescharacteristic
145#525—64no—
146#525—64no—
147C2×#123—31no—
148C2×#123—31no—
149C2×C22⋊Q8—31no—
150C2×C22⋊Q8—31no—
151C2×#121—31no—
152C2×#121—31no—
153C2×#120—31no—
154C2×#120—31no—
155C2×C4×D4—31no—
156C2×C4×D4—31no—
157C2×C4×D4—31no—
158C2×C4×D4C2×D311yescharacteristic
159C2×#117—31no—
160#407—64no—
161#407—64no—
162C2×C22⋊C8—31no—
163C2×C22⋊C8—32no—
164C2×C22⋊C8—32no—
165C2×C22⋊C8—32no—
166C2×C22⋊C8—32no—
167C2×C22⋊C8—32no—
168C2×C22⋊C8—32no—
169C2×C22⋊C8C2×D311yescharacteristic
170C2×C22⋊C8C2×D312yescomplemented
171#336—32no—
172#336—32no—
173#336—32no—
174#336C2×D312yescomplemented
175C24×C3C22×C411yescharacteristic
176C24×C3C22×C411yescharacteristic
177C23×D3—42no—
178C23×D3—42no—
179C23×D3—41no—
180C23×D3—41no—
181C23×D3C22⋊C414yes—
182C23×D3C22×C411yescharacteristic
183C23×D3C22×C411yescharacteristic
184C23×D3C22×C411yescharacteristic
185C2×C3×D4—22no—
186C2×C3×D4—41no—
187C2×C3×D4—41no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—21no—
191C22×C3×C4—21no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4C22×C411yescharacteristic
195C22×C3×C4C22×C411yescharacteristic
196C22×C3×C4C22×C411yescharacteristic
197C22×C3×C4C22×C411yescharacteristic
198C22×C3×C4C2×D412yes—
199C22×C3×C4C2×D412yes—
200C22×C3×C4C2411yescharacteristic
201C2×#67—22no—
202C2×#67—22no—
203C2×#67—22no—
204C2×#67—22no—
205C2×#67—42no—
206C2×#67—42no—
207C2×#67—42no—
208C2×#67—41no—
209C2×#67—41no—
210C22×Dic3—42no—
211C22×Dic3C22⋊C414yes—
212C22×Dic3C22×C411yescharacteristic
213C22×Dic3C22×C411yescharacteristic
214C22×Dic3C22×C411yescharacteristic
215C22×Dic3C22×C411yescharacteristic
216C22×Dic3C22×C411yescharacteristic
217#235—44no—
218#235—44no—
219#235—48no—
220C2×D12—22no—
221C2×D12—22no—
222C2×D12—42no—
223C2×D12—42no—
224C2×C4×D3—22no—
225C2×C4×D3—22no—
226C2×C4×D3—22no—
227C2×C4×D3—22no—
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3—22no—
231C2×C4×D3—22no—
232C2×C4×D3—48no—
233C2×C4×D3—44no—
234C2×C4×D3—44no—
235C2×C4×D3—42no—
236C2×C4×D3—42no—
237C2×C4×D3C22⋊C414yes—
238C2×C4×D3C22⋊C414yes—
239C2×C4×D3C2×D412yes—
240C2×C4×D3C2×D412yes—
241C2×C4×D3C2×D412yes—
242C2×C4×D3C2×D412yes—
243C2×Dic6—22no—
244C2×Dic6—42no—
245C3×M16—44no—
246C2×C3×C8—22no—
247C2×C3×C8—22no—
248C2×C3×C8—22no—
249C2×C3×C8—22no—
250C2×C3×C8—22no—
251C2×C3×C8—22no—
252C3×C4⋊C4—22no—
253C3×C22⋊C4—22no—
254C3×C22⋊C4—22no—
255C3×C42—21no—
256C3×C42—21no—
257#217—22no—
258#217—22no—
259(C2×D3)⋊C4—22no—
260(C2×D3)⋊C4—22no—
261(C2×D3)⋊C4—22no—
262(C2×D3)⋊C4—22no—
263(C2×D3)⋊C4—22no—
264(C2×D3)⋊C4—22no—
265C4⋊Dic3—22no—
266Dic3⋊C4—22no—
267Dic3⋊C4—22no—
268Dic3⋊C4—22no—
269Dic3⋊C4—22no—
270C4×Dic3—21no—
271C4×Dic3—21no—
272#208—44no—
273C2×C3⋊C8—22no—
274C2×C3⋊C8—22no—
275C2×C3⋊C8—22no—
276C2×C3⋊C8—22no—
277C2×C3⋊C8—22no—
278C2×C3⋊C8—22no—
279ΓL(1,𝔽25)—48no—
280C25—31no—
281C2×#41—62no—
282C2×#41—62no—
283C2×#41—122no—
284C2×#41—122no—
285C22×Q8—31no—
286C22×D4—31no—
287C22×D4—31no—
288C22×D4—31no—
289C22×D4—31no—
290C22×D4—31no—
291C22×D4—31no—
292C22×D4C4×D311yescharacteristic
293C23×C4—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—34no—
299C23×C4—34no—
300C23×C4—31no—
301C23×C4—122no—
302C23×C4—122no—
303C23×C4C22×D311yescharacteristic
304C23×C4C22×D311yescharacteristic
305C2×M16—22no—
306C2×M16—42no—
307C2×M16—64no—
308C2×M16—62no—
309C2×M16—122no—
310C2×M16—122no—
311C2×M16—122no—
312C22×C8—32no—
313C22×C8—32no—
314C22×C8C22×D312yes—
315C22×C8C22×D312yes—
316#123—64no—
317#123—64no—
318C22⋊Q8—64no—
319C22⋊Q8—64no—
320#121—64no—
321#121—64no—
322#120—64no—
323#120—64no—
324C4×D4—22no—
325C4×D4—22no—
326C4×D4—62no—
327C4×D4—62no—
328C4×D4—62no—
329C4×D4—62no—
330C4×D4—62no—
331C4×D4—62no—
332#117—62no—
333#117—62no—
334C2×C4⋊C4—31no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4C4×D311yescharacteristic
340C2×C22⋊C4—31no—
341C2×C22⋊C4—31no—
342C2×C22⋊C4—31no—
343C2×C22⋊C4—31no—
344C2×C22⋊C4—31no—
345C2×C22⋊C4—31no—
346C2×C22⋊C4—31no—
347C2×C22⋊C4—31no—
348C2×C22⋊C4C4×D311yescharacteristic
349C2×C22⋊C4C4×D311yescharacteristic
350C2×C42—31no—
351C2×C42C22×D311yescharacteristic
352C22⋊C8—22no—
353C22⋊C8—42no—
354C22⋊C8—64no—
355C22⋊C8—64no—
356C22⋊C8—64no—
357C22⋊C8—62no—
358C22⋊C8—122no—
359C22⋊C8—122no—
360C22⋊C8—122no—
361C23×C3—22no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—22no—
365C23×C3—21no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3C2×C22⋊C412yes—
371C23×C3C23×C411yescharacteristic
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—21no—
376C22×D3—21no—
377C22×D3—21no—
378C22×D3—21no—
379C22×D3—22no—
380C22×D3—21no—
381C22×D3—22no—
382C22×D3—22no—
383C22×D3—21no—
384C22×D3—21no—
385C22×D3—44no—
386C22×D3—44no—
387C22×D3—44no—
388C22×D3—48no—
389C22×D3—48no—
390C22×D3C2×C22⋊C412yes—
391C22×D3C2×C22⋊C412yes—
392C3×D4—44no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—24no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—42no—
407C2×C3×C4C2×C22⋊C412yes—
408C2×C3×C4C22×D411yescharacteristic
409C2×C3×C4C22×D411yescharacteristic
410C2×C3×C4H(5,𝔽2)12yes—
411C2×C3×C4H(5,𝔽2)12yes—
412#67—44no—
413#67—44no—
414#67—44no—
415#67—44no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—22no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—22no—
425C2×Dic3—44no—
426C2×Dic3C2×C22⋊C412yes—
427C2×Dic3C2×C22⋊C412yes—
428D12—44no—
429D12—44no—
430C4×D3—24no—
431C4×D3—22no—
432C4×D3—22no—
433C4×D3—22no—
434C4×D3—22no—
435C4×D3—24no—
436C4×D3—44no—
437C4×D3—44no—
438C4×D3—41no—
439C4×D3—41no—
440C4×D3—42no—
441Dic6—44no—
442C3×C8—42no—
443C3×C8—42no—
444C3⋊C8—42no—
445C3⋊C8—42no—
446C24—31no—
447C24—31no—
448C24—34no—
449C24—31no—
450C24—122no—
451C24—121no—
452C24—121no—
453C24—122no—
454C24C2×C4×D311yescharacteristic
455C24C2×C4×D311yescharacteristic
456#41—124no—
457#41—124no—
458#41—128no—
459C2×Q8—62no—
460C2×Q8—122no—
461C2×D4—22no—
462C2×D4—41no—
463C2×D4—41no—
464C2×D4—62no—
465C2×D4—62no—
466C2×D4—62no—
467C2×D4—62no—
468C2×D4—62no—
469C2×D4—62no—
470C2×D4—122no—
471C2×D4—122no—
472C2×D4—122no—
473C2×D4—122no—
474C2×D4—121no—
475C2×D4—121no—
476C2×D4—122no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—34no—
486C22×C4—32no—
487C22×C4—32no—
488C22×C4—32no—
489C22×C4—32no—
490C22×C4—34no—
491C22×C4—34no—
492C22×C4—31no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—124no—
504C22×C4—124no—
505C22×C4—128no—
506C22×C4—122no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4C2×C4×D311yescharacteristic
510C22×C4C2×C4×D311yescharacteristic
511C22×C4C2×C4×D311yescharacteristic
512C22×C4C2×C4×D311yescharacteristic
513C22×C4D3×D412yes—
514C22×C4D3×D412yes—
515C22×C4C23×D311yescharacteristic
516M16—44no—
517M16—128no—
518M16—124no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—62no—
526C2×C8—62no—
527C2×C8—62no—
528C2×C8—62no—
529C2×C8—62no—
530C2×C8—62no—
531C4⋊C4—22no—
532C4⋊C4—62no—
533C4⋊C4—62no—
534C4⋊C4—62no—
535C4⋊C4—62no—
536C4⋊C4—62no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—62no—
540C22⋊C4—62no—
541C22⋊C4—62no—
542C22⋊C4—62no—
543C22⋊C4—62no—
544C22⋊C4—62no—
545C22⋊C4—62no—
546C22⋊C4—62no—
547C42—21no—
548C42—21no—
549C42—61no—
550C42—61no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3C22×C22⋊C411yescharacteristic
562C22×C3#51812yes—
563C22×C3#56811yescharacteristic
564C22×C3#56811yescharacteristic
565C22×C3#56812yes—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—416no—
573C2×D3—42no—
574C2×D3—42no—
575C2×D3—42no—
576C2×D3—42no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—41no—
580C2×D3—42no—
581C2×D3—42no—
582C3×C4—22no—
583C3×C4—41no—
584C3×C4—41no—
585C3×C4—41no—
586C3×C4#53411yescharacteristic
587C3×C4#53411yescharacteristic
588C3×C4#53412yes—
589Dic3—22no—
590Dic3—22no—
591Dic3—41no—
592Dic3—41no—
593Dic3—41no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—22no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—32no—
604C23—32no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—62no—
610C23—62no—
611C23—62no—
612C23—62no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—62no—
617C23—62no—
618C23—124no—
619C23—124no—
620C23—124no—
621C23—128no—
622C23—128no—
623C23D3×C22⋊C412yes—
624C23C22×C4×D311yescharacteristic
625Q8—124no—
626D4—44no—
627D4—124no—
628D4—124no—
629D4—124no—
630D4—124no—
631D4—124no—
632D4—124no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—32no—
645C2×C4—32no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—64no—
656C2×C4—64no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—124no—
665C2×C4—124no—
666C2×C4—124no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—122no—
670C2×C4D3×C22⋊C412yes—
671C2×C4C2×D3×D411yescharacteristic
672C2×C4C2×D3×D411yescharacteristic
673C2×C4#100412yes—
674C2×C4#100912yes—
675C8—42no—
676C8—42no—
677C8—122no—
678C8—122no—
679C2×C3—42no—
680C2×C3—81no—
681C2×C3#230811yescharacteristic
682C2×C3#287911yescharacteristic
683C2×C3#287911yescharacteristic
684C2×C3#297812yes—
685C2×C3#297812yes—
686D3—42no—
687D3—42no—
688D3—81no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—42no—
698C22—42no—
699C22—62no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—1216no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—122no—
714C22—122no—
715C22C2×D3×C22⋊C411yescharacteristic
716C22#554512yes—
717C22#574511yescharacteristic
718C22#574511yescharacteristic
719C22#575012yes—
720C4—22no—
721C4—41no—
722C4—41no—
723C4—41no—
724C4—62no—
725C4—62no—
726C4—121no—
727C4—121no—
728C4—121no—
729C4#558911yescharacteristic
730C4#560512yes—
731C4#565311yescharacteristic
732C3#2174311yescharacteristic, complemented, Sylow
733C2—42no—
734C2—81no—
735C2—122no—
736C2—122no—
737C2—241no—
738C2#7487411yescharacteristic
739C2#7863011yescharacteristic
740C2#7866211yescharacteristic
741C2#7949012yes—
742C2#7954512yes—
subgroupG/H
center, FrattiniC22×C4C23×D3
commutator, socleC23×C3C23×C4
FittingC3×#1870C2
prime radicalC2×#5547C2
cosocleC22×C3×C4C24
hypercenter#1870D3
hypocenterC3#21743
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #1870

Complements

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

NH ≅ G/Ntype
2. C2×#5126C2semidirect
3. C2×#4726C2semidirect
4. C3×#1870C2semidirect
5. #71996C2semidirect
6. #71611C2semidirect
7. #69958C2semidirect
8. #69956C2semidirect
9. #69953C2semidirect
10. #68669C2semidirect
11. #68665C2semidirect
34. C2×C3×C22⋊C8C22semidirect
36. C2×#830C22semidirect
41. C2×(C2×D3)⋊C8C22semidirect
42. C2×(C2×D3)⋊C8C22semidirect
44. C3×#336C22semidirect
45. #4550C22semidirect
46. #4550C22semidirect
47. #4524C22semidirect
56. #1870D3semidirect
170. C2×C22⋊C8C2×D3semidirect
174. #336C2×D3semidirect
732. C3#21743semidirect

Maximal subgroups

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

subgroupindex
C2×#55472
C2×#51262
C2×#47262
C3×#18702
#719962
#716112
#699582
#699562
#699532
#686692
#686652
#217433