Finite Group Databasebeta

← #11808238

Subgroups — #11808238

Order 1152.

2049 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3799C211yesmaximal, characteristic, complemented
2C2×#63904C211yesmaximal, characteristic, complemented
3C2×#63894C212yesmaximal, complemented
4#10592370C211yesmaximal, characteristic, complemented
5C3×#4666C211yesmaximal, characteristic, complemented
6C3×#4656C211yesmaximal, characteristic, complemented
7#10591395C212yesmaximal, complemented
8#10591392C212yesmaximal, complemented
9#10591321C211yesmaximal, characteristic, complemented
10#10591310C211yesmaximal, characteristic, complemented
11#10591233C212yesmaximal, complemented
12#77169—31nomaximal
13#73580—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4⋊(C3⋊D3)C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×Dic6C2211yescharacteristic
18C22×#626C2212yes—
19C22×#626C2211yescharacteristic
20C22×#624C2211yescharacteristic
21C22×#624C2212yes—
22C2×#3799—24no—
23C2×#3799—28no—
24C2×#3752C2212yes—
25C2×#3752C2211yescharacteristic
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×C4⋊Dic3C2212yes—
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×C3×C4×Dic3C2212yes—
30C2×#3722C2212yes—
31C2×#3722C2212yes—
32C2×#3722C2212yes—
33C2×(C2×D3)⋊Dic3C2211yescharacteristic
34C2×Dic32C2211yescharacteristic
35#63904—24no—
36#63894—28no—
37C32×#95C2211yescharacteristic
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C22×#239—31no—
42C22×#235—31no—
43C2×C4×#67—31no—
44C2×#893—31no—
45C2×#893—32no—
46C2×C4×D12—32no—
47C3×#395—31no—
48C3×C4×C22⋊C4—31no—
49#5231—31no—
50#4991—32no—
51#4991—31no—
52#4961—32no—
53#4960—32no—
54C4×(C2×D3)⋊C4—32no—
55#4673—31no—
56#4672—31no—
57#4671—32no—
58#4671—31no—
59#4671—31no—
60#4671—61no—
61#4666—32no—
62#4666D311yescharacteristic, complemented
63#4656D311yescharacteristic, complemented
64C23×C3⋊D3C2312yes—
65C23×C3⋊D3C2311yescharacteristic
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2312yes—
69C22×C3⋊Dic3C2311yescharacteristic
70C2×C4⋊(C3⋊D3)—24no—
71C2×C4⋊(C3⋊D3)—24no—
72C2×C4⋊(C3⋊D3)—24no—
73C2×C4⋊(C3⋊D3)—22no—
74C2×C4⋊(C3⋊D3)—24no—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2311yescharacteristic
79C22×C3×Dic3C2311yescharacteristic
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3D414yescomplemented
82C2×C3×Dic6—22no—
83C2×C3×Dic6—24no—
84C2×#626—24no—
85C2×#626—22no—
86C2×#626—24no—
87C2×#626—22no—
88C2×#626—24no—
89C2×#626—22no—
90C2×#624—24no—
91C2×#624—24no—
92C2×#624—24no—
93C2×#624—22no—
94C2×#624D418yescomplemented
95#3799—232no—
96#3752—22no—
97#3752—24no—
98C3×(C2×D3)⋊C4—24no—
99C3×C4⋊Dic3—24no—
100C3×Dic3⋊C4—22no—
101C3×C4×Dic3—24no—
102#3722—24no—
103#3722—24no—
104#3722—24no—
105(C2×D3)⋊Dic3—22no—
106Dic32—22no—
107#2388—91noSylow
108C22×C3×Q8—31no—
109C23×C3×C4—31no—
110C22×#67—32no—
111C22×#67—31no—
112C2×#239—68no—
113C2×#239—64no—
114C2×#235—68no—
115C2×#235—64no—
116C22×D12—31no—
117C22×D12—32no—
118C22×D12—32no—
119C22×D12—31no—
120C22×D12—31no—
121C22×D12—32no—
122C22×D12—62no—
123C22×D12—61no—
124C22×C4×D3—32no—
125C22×C4×D3—32no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3C2×D311yescharacteristic
129C22×Dic6C2×D311yescharacteristic
130C2×C3×C4⋊C4—31no—
131C2×C3×C4⋊C4—32no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C42—32no—
134C2×#217—31no—
135C4×#67—64no—
136C2×(C2×D3)⋊C4—31no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—31no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4—31no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—61no—
148C2×(C2×D3)⋊C4—62no—
149C2×(C2×D3)⋊C4C2×D312yes—
150C2×C4⋊Dic3C2×D312yes—
151C2×Dic3⋊C4C2×D311yescharacteristic
152C2×C4×Dic3—31no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3C2×D312yes—
155#893—68no—
156#893—64no—
157C4×D12—68no—
158C3×#95—21no—
159C3×#95—32no—
160C3×#95—31no—
161C3×#95C2×D311yescharacteristic
162C3×#95C2×D311yescharacteristic
163C3⋊#95—32no—
164C3⋊#95—32no—
165C3⋊#95C2×D312yes—
166C3⋊#95C2×D311yescharacteristic
167C23×C32C2411yescharacteristic
168C22×C3⋊D3—22no—
169C22×C3⋊D3—21no—
170C22×C3⋊D3—22no—
171C22×C3⋊D3—22no—
172C22×C3⋊D3—22no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3—21no—
175C22×C3⋊D3—22no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3C2×D414yes—
179C22×C3⋊D3#4112yescomplemented
180C22×C3×D3—22no—
181C22×C3×D3—22no—
182C22×C3×D3—21no—
183C22×C3×D3—21no—
184C22×C3×D3C2×D412yes—
185C2×C32×C4—22no—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4C2×D412yes—
189C2×C32×C4#4114yescomplemented
190C2×C3⋊Dic3—21no—
191C2×C3⋊Dic3—22no—
192C4⋊(C3⋊D3)—28no—
193C4⋊(C3⋊D3)—216no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3C2×D412yes—
204C2×C3×Dic3C2×D414yes—
205C2×C3×Dic3C2×D414yes—
206C2×C3×Dic3#4112yescomplemented
207C3×C4×D3—28no—
208C3×Dic6—28no—
209#626—216no—
210#626—28no—
211#624—216no—
212#624—44no—
213C22×#41—91no—
214C2×C4×D4—92no—
215C2×C4×D4—91no—
216#395—31no—
217#394—91no—
218#394—92no—
219#393—91no—
220#392—92no—
221#392—91no—
222C4×C22⋊C4—31no—
223C4×C22⋊C4—92no—
224C24×C3—31no—
225C23×D3—32no—
226C23×D3—31no—
227C23×D3—32no—
228C23×D3—31no—
229C23×D3—62no—
230C23×D3—61no—
231C23×D3C22×D311yescharacteristic
232C2×C3×Q8—64no—
233C2×C3×Q8—62no—
234C22×C3×C4—22no—
235C22×C3×C4—21no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—31no—
239C22×C3×C4—34no—
240C22×C3×C4—32no—
241C22×C3×C4—31no—
242C22×C3×C4—64no—
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C22×D312yes—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D312yes—
247C2×#67—64no—
248C2×#67—62no—
249C2×#67—62no—
250C2×#67—64no—
251C2×#67—64no—
252C2×#67—62no—
253C22×Dic3—31no—
254C22×Dic3—31no—
255C22×Dic3—61no—
256C22×Dic3C22×D312yes—
257C22×Dic3C22×D311yescharacteristic
258C22×Dic3C22×D312yes—
259C22×Dic3C22×D311yescharacteristic
260C22×Dic3C22×D311yescharacteristic
261#239—632no—
262#235—632no—
263C2×D12—64no—
264C2×D12—64no—
265C2×D12—64no—
266C2×D12—64no—
267C2×D12—64no—
268C2×D12—64no—
269C2×D12—62no—
270C2×D12—64no—
271C2×D12—62no—
272C2×D12—64no—
273C2×D12—62no—
274C2×D12—64no—
275C2×D12—62no—
276C2×D12—64no—
277C2×D12—62no—
278C2×D12—64no—
279C2×D12—124no—
280C2×D12—122no—
281C2×D12—124no—
282C2×D12—124no—
283C2×D12—124no—
284C2×C4×D3—24no—
285C2×C4×D3—38no—
286C2×C4×D3—38no—
287C2×C4×D3—64no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3—62no—
293C2×C4×D3—62no—
294C2×C4×D3—64no—
295C2×C4×D3D1214yescomplemented
296C2×Dic6—22no—
297C2×Dic6—24no—
298C3×C4⋊C4—64no—
299C3×C4⋊C4—62no—
300C3×C22⋊C4—64no—
301C3×C42—64no—
302#217—62no—
303(C2×D3)⋊C4—24no—
304(C2×D3)⋊C4—64no—
305(C2×D3)⋊C4—64no—
306(C2×D3)⋊C4—64no—
307(C2×D3)⋊C4—64no—
308(C2×D3)⋊C4—62no—
309(C2×D3)⋊C4—62no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—62no—
312(C2×D3)⋊C4—64no—
313(C2×D3)⋊C4—64no—
314(C2×D3)⋊C4—64no—
315(C2×D3)⋊C4—124no—
316(C2×D3)⋊C4—122no—
317C4⋊Dic3—24no—
318Dic3⋊C4—22no—
319C4×Dic3—24no—
320C4×Dic3—62no—
321C4×Dic3—62no—
322C22×C32C22×D411yescharacteristic
323C22×C32C22×D412yes—
324C22×C32C2×#4112yes—
325C22×C32C2×#4111yescharacteristic
326C22×C32C2×#4111yescharacteristic
327C2×C3⋊D3—24no—
328C2×C3⋊D3—22no—
329C2×C3⋊D3—24no—
330C2×C3⋊D3—24no—
331C2×C3⋊D3—24no—
332C2×C3⋊D3—41no—
333C2×C3⋊D3—42no—
334C2×C3⋊D3—42no—
335C2×C3⋊D3—41no—
336C2×C3⋊D3—42no—
337C2×C3⋊D3—42no—
338C2×C3⋊D3—42no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3—22no—
342C2×C3×D3—42no—
343C2×C3×D3—42no—
344C32×C4—22no—
345C32×C4—24no—
346C3⋊Dic3—41no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—41no—
350C3×Dic3—42no—
351C3×Dic3#12014yes—
352C2×#41—184no—
353C2×#41—188no—
354C22×Q8—31no—
355C22×D4—91no—
356C22×D4—92no—
357C22×D4—92no—
358C22×D4—91no—
359C23×C4—31no—
360C23×C4—92no—
361C23×C4—91no—
362C4×D4—188no—
363C4×D4—184no—
364C2×C4⋊C4—31no—
365C2×C4⋊C4—32no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—91no—
371C2×C22⋊C4—91no—
372C2×C22⋊C4—92no—
373C2×C42—32no—
374C2×C42—91no—
375#95—31no—
376#95—32no—
377#95—92no—
378#95D3211yescharacteristic
379C23×C3—21no—
380C23×C3—32no—
381C23×C3—62no—
382C23×C3—62no—
383C23×C3—61no—
384C23×C3—61no—
385C23×C3C23×D311yescharacteristic
386C23×C3C23×D311yescharacteristic
387C22×D3—22no—
388C22×D3—22no—
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—34no—
392C22×D3—34no—
393C22×D3—32no—
394C22×D3—32no—
395C22×D3—64no—
396C22×D3—62no—
397C22×D3—61no—
398C22×D3—62no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—61no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—62no—
409C22×D3—62no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—61no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—61no—
417C22×D3—122no—
418C22×D3—121no—
419C22×D3—122no—
420C22×D3—122no—
421C22×D3—122no—
422C22×D3—122no—
423C22×D3—122no—
424C22×D3—122no—
425C22×D3—122no—
426C22×D3—121no—
427C22×D3C2×D1212yes—
428C3×Q8—68no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—24no—
436C2×C3×C4—22no—
437C2×C3×C4—32no—
438C2×C3×C4—34no—
439C2×C3×C4—34no—
440C2×C3×C4—32no—
441C2×C3×C4—42no—
442C2×C3×C4—42no—
443C2×C3×C4—42no—
444C2×C3×C4—68no—
445C2×C3×C4—61no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—61no—
449C2×C3×C4—61no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—62no—
453C2×C3×C4—62no—
454C2×C3×C4C2×D1212yes—
455C2×C3×C4#23514yescomplemented
456C2×C3×C4D3×D412yes—
457C2×C3×C4#23914yescomplemented
458#67—616no—
459#67—68no—
460C2×Dic3—21no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—21no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—21no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—61no—
470C2×Dic3—62no—
471C2×Dic3—61no—
472C2×Dic3—62no—
473C2×Dic3—122no—
474C2×Dic3—121no—
475C2×Dic3C2×D1212yes—
476C2×Dic3D3×D414yes—
477C2×Dic3D3×D414yes—
478C2×Dic3#23912yescomplemented
479D12—616no—
480D12—616no—
481D12—68no—
482D12—68no—
483D12—68no—
484D12—616no—
485D12—128no—
486D12—1216no—
487C4×D3—28no—
488C4×D3—616no—
489C4×D3—616no—
490C4×D3—124no—
491C4×D3—124no—
492Dic6—28no—
493C2×C32C2×#12011yescharacteristic
494C2×C32#52511yescharacteristic
495C2×C32#52512yes—
496C2×C32#53211yescharacteristic
497C2×C32#53212yes—
498C3⋊D3—44no—
499C3⋊D3—42no—
500C3×D3—42no—
501C24—31no—
502C24—92no—
503C24—91no—
504#41—1832no—
505C2×Q8—64no—
506C2×Q8—62no—
507C2×D4—184no—
508C2×D4—184no—
509C2×D4—184no—
510C2×D4—184no—
511C2×D4—182no—
512C2×D4—182no—
513C2×D4—184no—
514C2×D4—184no—
515C2×D4—182no—
516C2×D4—184no—
517C2×D4—182no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—32no—
521C22×C4—34no—
522C22×C4—32no—
523C22×C4—31no—
524C22×C4—64no—
525C22×C4—98no—
526C22×C4—91no—
527C22×C4—184no—
528C22×C4—184no—
529C22×C4—182no—
530C22×C4—184no—
531C22×C4C2×D3212yes—
532C22×C4C2×D3211yescharacteristic
533C4⋊C4—64no—
534C4⋊C4—62no—
535C22⋊C4—64no—
536C22⋊C4—184no—
537C22⋊C4—184no—
538C22⋊C4—184no—
539C22⋊C4—182no—
540C22⋊C4—184no—
541C22⋊C4—182no—
542C42—64no—
543C42—182no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—22no—
547C22×C3—21no—
548C22×C3—21no—
549C22×C3—62no—
550C22×C3—62no—
551C22×C3—62no—
552C22×C3—122no—
553C22×C3—122no—
554C22×C3C22×D1211yescharacteristic
555C22×C3C2×#23512yes—
556C22×C3C2×D3×D411yescharacteristic
557C22×C3C2×D3×D412yes—
558C22×C3C2×D3×D412yes—
559C22×C3C2×#23912yes—
560C22×C3C2×#23911yescharacteristic
561C22×C3D3×#4111yescharacteristic
562C22×C3D3×#4111yescharacteristic
563C22×C3D3×#4111yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—62no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—64no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—62no—
579C2×D3—124no—
580C2×D3—124no—
581C2×D3—124no—
582C2×D3—122no—
583C2×D3—124no—
584C2×D3—121no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—122no—
588C2×D3—121no—
589C2×D3—122no—
590C2×D3—121no—
591C2×D3—122no—
592C2×D3—122no—
593C2×D3—122no—
594C2×D3—122no—
595C2×D3—121no—
596C2×D3—122no—
597C2×D3—122no—
598C2×D3—242no—
599C2×D3—242no—
600C2×D3—242no—
601C2×D3—241no—
602C2×D3—241no—
603C2×D3—242no—
604C2×D3—242no—
605C3×C4—22no—
606C3×C4—24no—
607C3×C4—22no—
608C3×C4—24no—
609C3×C4—34no—
610C3×C4—44no—
611C3×C4—42no—
612C3×C4—64no—
613C3×C4—62no—
614C3×C4—122no—
615C3×C4—121no—
616Dic3—24no—
617Dic3—22no—
618Dic3—42no—
619Dic3—41no—
620Dic3—121no—
621Dic3—121no—
622Dic3—241no—
623Dic3#88214yes—
624C32#238811yescharacteristic, complemented, Sylow
625C23—32no—
626C23—62no—
627C23—62no—
628C23—61no—
629C23—61no—
630C23—94no—
631C23—92no—
632C23—182no—
633C23—182no—
634C23—182no—
635C23—181no—
636C23—182no—
637C23—182no—
638C23—182no—
639C23—182no—
640C23—182no—
641C23—181no—
642C23C22×D3211yescharacteristic
643Q8—68no—
644D4—188no—
645D4—1816no—
646D4—1816no—
647D4—188no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—32no—
652C2×C4—34no—
653C2×C4—34no—
654C2×C4—32no—
655C2×C4—68no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—61no—
660C2×C4—62no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—1816no—
666C2×C4—182no—
667C2×C4—181no—
668C2×C4—364no—
669C2×C4#379914yescomplemented
670C2×C4D3×D1212yes—
671C2×C3—22no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—22no—
676C2×C3—122no—
677C2×C3#547711yescharacteristic
678C2×C3C2×#88211yescharacteristic
679C2×C3#552411yescharacteristic
680C2×C3#554712yes—
681C2×C3#554812yes—
682C2×C3D3×#12011yescharacteristic
683C2×C3#562712yes—
684C2×C3#562711yescharacteristic
685C2×C3#572511yescharacteristic
686C2×C3#572512yes—
687D3—42no—
688D3—124no—
689D3—122no—
690D3—124no—
691D3—122no—
692D3—242no—
693D3—244no—
694C22—62no—
695C22—62no—
696C22—62no—
697C22—122no—
698C22—122no—
699C22—184no—
700C22—184no—
701C22—182no—
702C22—184no—
703C22—184no—
704C22—362no—
705C22—362no—
706C22—362no—
707C22—361no—
708C22—361no—
709C22—362no—
710C22—362no—
711C22C2×#379912yes—
712C22C2×D3×D1211yescharacteristic
713C22D32×D412yes—
714C22#6431211yescharacteristic
715C22D3×#23911yescharacteristic
716C4—24no—
717C4—22no—
718C4—34no—
719C4—62no—
720C4—64no—
721C4—121no—
722C4—122no—
723C4—361no—
724C3—21no—
725C3#7358011yescharacteristic, complemented
726C3#7716911yescharacteristic, complemented
727C2—122no—
728C2—362no—
729C2—364no—
730C2#1059397011yescharacteristic
731C2#1059406612yes—
732C2D3×#88211yescharacteristic
733C2#1059451812yes—
734C2#1059462711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC32×#95C22
hypercenter#95D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ #95

Complements

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

NH ≅ G/Ntype
1. C22×#3799C2semidirect
2. C2×#63904C2semidirect
3. C2×#63894C2semidirect
4. #10592370C2semidirect
5. C3×#4666C2semidirect
6. C3×#4656C2semidirect
7. #10591395C2semidirect
8. #10591392C2semidirect
9. #10591321C2semidirect
10. #10591310C2semidirect
11. #10591233C2semidirect
62. #4666D3semidirect
63. #4656D3semidirect
81. C2×C3×C4×D3D4semidirect
94. C2×#624D4semidirect
179. C22×C3⋊D3#41semidirect
189. C2×C32×C4#41semidirect
206. C2×C3×Dic3#41semidirect
295. C2×C4×D3D12semidirect
455. C2×C3×C4#235semidirect
457. C2×C3×C4#239semidirect
478. C2×Dic3#239semidirect
624. C32#2388semidirect
669. C2×C4#3799semidirect
725. C3#73580semidirect
726. C3#77169semidirect

Maximal subgroups

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

subgroupindex
C22×#37992
C2×#639042
C2×#638942
#105923702
C3×#46662
C3×#46562
#105913952
#105913922
#105913212
#105913102
#105912332
#771693
#735803