Finite Group Databasebeta

← #11808229

Subgroups — #11808229

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×C3×#67⋊C4C211yesmaximal, characteristic, complemented
3C2×#63952C212yesmaximal, complemented
4#10592659C211yesmaximal, characteristic, complemented
5C3×#4947C211yesmaximal, characteristic, complemented
6#10591724C212yesmaximal, complemented
7#10591344C211yesmaximal, characteristic, complemented
8#10591321C211yesmaximal, characteristic, complemented
9#10591292C212yesmaximal, complemented
10#10591237C211yesmaximal, characteristic, complemented
11#10591233C212yesmaximal, complemented
12#82400—31nomaximal
13#76777—31nomaximal
14C22×#638C2212yes—
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C3×#67C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C22×#626C2212yes—
21C22×#624C2212yes—
22C2×#3799—24no—
23C2×#3799—28no—
24C2×C32×C22⋊C4C2211yescharacteristic
25C2×#3752C2212yes—
26C2×C3×#217C2212yes—
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×C3×C4×Dic3C2211yescharacteristic
30C3×#67⋊C4—24no—
31C2×#3724C2212yes—
32C2×#3722C2212yes—
33C2×#3722C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36#63952—28no—
37#63658C2211yescharacteristic
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C22×#239—31no—
42C22×#235—31no—
43C2×C3×C4×D4—31no—
44C2×C4×#67—32no—
45C2×#67⋊C4—32no—
46C2×#67⋊C4D311yescharacteristic, complemented
47C3×#393—31no—
48#5230—31no—
49#5223—32no—
50C4×#217—31no—
51#4991—31no—
52#4979—31no—
53#4960—32no—
54#4960—31no—
55#4960—31no—
56#4960—61no—
57#4959—32no—
58#4947D311yescharacteristic, complemented
59C4×(C2×D3)⋊C4—32no—
60#4672—32no—
61#4672—31no—
62#4666—31no—
63#4666—32no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3C2312yes—
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C2×#638—24no—
70C2×#638—24no—
71C2×#638—24no—
72C22×C3⋊Dic3C2312yes—
73C2×C4⋊(C3⋊D3)—24no—
74C2×C4⋊(C3⋊D3)—22no—
75C2×C3×#67—22no—
76C2×C3×#67—22no—
77C2×C3×#67—22no—
78C22×C3×Dic3—22no—
79C22×C3×Dic3—24no—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C2×C3×C4×D3—24no—
86C2×C3×C4×D3D414yescomplemented
87C2×C3×Dic6—22no—
88C2×C3×Dic6—24no—
89C2×#626—24no—
90C2×#626—24no—
91C2×#626—24no—
92C2×#624—24no—
93C2×#624—24no—
94C2×#624D418yescomplemented
95#3799—232no—
96C32×C22⋊C4—22no—
97#3752—24no—
98C3×#217—24no—
99C3×(C2×D3)⋊C4—22no—
100C3×Dic3⋊C4—22no—
101C3×C4×Dic3—22no—
102#3724—24no—
103#3722—24no—
104#3722—24no—
105(C2×D3)⋊Dic3—24no—
106Dic32—24no—
107#2388—91noSylow
108C22×C3×Q8—31no—
109C22×C3×D4—31no—
110C23×C3×C4—31no—
111C23×C3×C4—31no—
112C22×#67—32no—
113C22×#67—32no—
114C22×#67—32no—
115C22×#67—62no—
116C22×#67C2×D311yescharacteristic
117C23×Dic3C2×D311yescharacteristic
118C2×#239—68no—
119C2×#239—64no—
120C2×#235—68no—
121C2×#235—64no—
122C22×D12—32no—
123C22×D12—31no—
124C22×D12—31no—
125C22×D12—61no—
126C22×C4×D3—32no—
127C22×C4×D3—32no—
128C22×C4×D3C2×D311yescharacteristic
129C22×Dic6C2×D311yescharacteristic
130C3×C4×D4—64no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C22⋊C4—21no—
133C2×C3×C22⋊C4—32no—
134C2×C3×C22⋊C4—31no—
135C2×C3×C22⋊C4C2×D311yescharacteristic
136C2×C3×C22⋊C4C2×D311yescharacteristic
137C2×C3×C42—31no—
138C2×#217—32no—
139C2×#217C2×D312yes—
140C4×#67—68no—
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—32no—
148C2×(C2×D3)⋊C4—62no—
149C2×(C2×D3)⋊C4C2×D311yescharacteristic
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4—32no—
152C2×Dic3⋊C4C2×D311yescharacteristic
153C2×C4×Dic3—32no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3C2×D311yescharacteristic
156#67⋊C4—24no—
157#67⋊C4—68no—
158C3×#95—32no—
159C3×#95—31no—
160C3⋊#95—31no—
161C3⋊#95—31no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—61no—
165C3⋊#95C2×D312yes—
166C3⋊#95C2×D311yescharacteristic
167C23×C32—22no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—22no—
171C23×C32#4112yescomplemented
172C23×C32C2411yescharacteristic
173C22×C3⋊D3—22no—
174C22×C3⋊D3—22no—
175C22×C3⋊D3—22no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3—22no—
179C22×C3⋊D3C2×D414yes—
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—21no—
187C2×C32×C4—22no—
188C2×C32×C4C2×D412yes—
189#638—216no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3#4114yescomplemented
193C4⋊(C3⋊D3)—28no—
194C3×#67—28no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—44no—
205C2×C3×Dic3C2×D414yes—
206C2×C3×Dic3C2×D414yes—
207C2×C3×Dic3C2×D412yes—
208C2×C3×Dic3#4112yescomplemented
209C3×C4×D3—28no—
210C3×Dic6—28no—
211#626—216no—
212#624—216no—
213C22×#41—91no—
214C2×C4×D4—31no—
215C2×C4×D4—92no—
216#395—91no—
217#394—92no—
218#394—91no—
219#393—31no—
220#392—92no—
221#392—91no—
222C4×C22⋊C4—92no—
223C4×C22⋊C4—91no—
224C24×C3—21no—
225C24×C3—31no—
226C24×C3C22×D311yescharacteristic
227C24×C3C22×D311yescharacteristic
228C23×D3—32no—
229C23×D3—32no—
230C23×D3—62no—
231C23×D3C22×D311yescharacteristic
232C2×C3×Q8—64no—
233C2×C3×Q8—62no—
234C2×C3×D4—62no—
235C2×C3×D4—62no—
236C2×C3×D4—62no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—31no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—34no—
243C22×C3×C4—32no—
244C22×C3×C4—31no—
245C22×C3×C4—64no—
246C22×C3×C4—64no—
247C22×C3×C4—62no—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C2×#67—22no—
253C2×#67—22no—
254C2×#67—22no—
255C2×#67—64no—
256C2×#67—64no—
257C2×#67—64no—
258C2×#67—64no—
259C2×#67—64no—
260C2×#67—64no—
261C2×#67—64no—
262C2×#67—64no—
263C2×#67—64no—
264C2×#67—124no—
265C2×#67—124no—
266C2×#67—124no—
267C22×Dic3—24no—
268C22×Dic3—22no—
269C22×Dic3—32no—
270C22×Dic3—32no—
271C22×Dic3—62no—
272C22×Dic3C22×D312yes—
273C22×Dic3C22×D311yescharacteristic
274C22×Dic3C22×D311yescharacteristic
275C22×Dic3C22×D312yes—
276C22×Dic3C22×D311yescharacteristic
277#239—632no—
278#235—632no—
279C2×D12—64no—
280C2×D12—64no—
281C2×D12—64no—
282C2×D12—64no—
283C2×D12—64no—
284C2×D12—62no—
285C2×D12—62no—
286C2×D12—122no—
287C2×D12—124no—
288C2×C4×D3—24no—
289C2×C4×D3—38no—
290C2×C4×D3—38no—
291C2×C4×D3—64no—
292C2×C4×D3—64no—
293C2×C4×D3—64no—
294C2×C4×D3—64no—
295C2×C4×D3#6714yescomplemented
296C2×Dic6—22no—
297C2×Dic6—24no—
298C3×C4⋊C4—62no—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—42no—
302C3×C22⋊C4—62no—
303C3×C22⋊C4—64no—
304C3×C42—62no—
305#217—24no—
306#217—64no—
307(C2×D3)⋊C4—22no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—64no—
313(C2×D3)⋊C4—64no—
314(C2×D3)⋊C4—64no—
315(C2×D3)⋊C4—124no—
316Dic3⋊C4—22no—
317Dic3⋊C4—64no—
318Dic3⋊C4—64no—
319C4×Dic3—22no—
320C4×Dic3—64no—
321C4×Dic3—64no—
322C22×C32—22no—
323C22×C32—24no—
324C22×C32—41no—
325C22×C32—42no—
326C22×C32—41no—
327C22×C32C22×D412yes—
328C22×C32C22×D411yescharacteristic
329C22×C32C2×#4111yescharacteristic
330C22×C32C2×#4111yescharacteristic
331C22×C32C2×#4112yes—
332C2×C3⋊D3—24no—
333C2×C3⋊D3—24no—
334C2×C3⋊D3—24no—
335C2×C3⋊D3—42no—
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—41no—
346C3⋊Dic3—24no—
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—31no—
356C22×D4—92no—
357C22×D4—92no—
358C22×D4—91no—
359C23×C4—31no—
360C23×C4—31no—
361C23×C4—92no—
362C4×D4—64no—
363C4×D4—188no—
364C2×C4⋊C4—31no—
365C2×C4⋊C4—92no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—31no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—92no—
371C2×C22⋊C4—92no—
372C2×C22⋊C4D3211yescharacteristic
373C2×C42—31no—
374C2×C42—92no—
375#95—32no—
376#95—31no—
377#95—92no—
378#95—91no—
379C23×C3—21no—
380C23×C3—22no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—22no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—21no—
388C23×C3—22no—
389C23×C3—32no—
390C23×C3—41no—
391C23×C3—42no—
392C23×C3—42no—
393C23×C3—41no—
394C23×C3—62no—
395C23×C3—61no—
396C23×C3—62no—
397C23×C3—61no—
398C23×C3#23512yescomplemented
399C23×C3#23912yescomplemented
400C23×C3C23×D311yescharacteristic
401C23×C3C23×D311yescharacteristic
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—22no—
405C22×D3—22no—
406C22×D3—34no—
407C22×D3—34no—
408C22×D3—64no—
409C22×D3—62no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—62no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—62no—
421C22×D3—122no—
422C22×D3—122no—
423C22×D3—122no—
424C22×D3—122no—
425C22×D3—122no—
426C22×D3—122no—
427C22×D3C2×#6712yes—
428C3×Q8—68no—
429C3×D4—68no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—21no—
436C2×C3×C4—22no—
437C2×C3×C4—34no—
438C2×C3×C4—32no—
439C2×C3×C4—34no—
440C2×C3×C4—32no—
441C2×C3×C4—42no—
442C2×C3×C4—42no—
443C2×C3×C4—41no—
444C2×C3×C4—68no—
445C2×C3×C4—61no—
446C2×C3×C4—62no—
447C2×C3×C4—61no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—61no—
453C2×C3×C4—62no—
454C2×C3×C4—124no—
455C2×C3×C4D3×D412yes—
456C2×C3×C4C2×#6712yes—
457#67—28no—
458#67—616no—
459#67—616no—
460#67—616no—
461#67—1216no—
462C2×Dic3—21no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—21no—
471C2×Dic3—34no—
472C2×Dic3—34no—
473C2×Dic3—44no—
474C2×Dic3—64no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—122no—
480C2×Dic3—122no—
481C2×Dic3#23512yescomplemented
482C2×Dic3D3×D414yes—
483C2×Dic3D3×D414yes—
484C2×Dic3C2×#6712yes—
485D12—68no—
486D12—68no—
487D12—616no—
488D12—128no—
489C4×D3—28no—
490C4×D3—616no—
491C4×D3—616no—
492Dic6—28no—
493C2×C32—42no—
494C2×C32C2×#12011yescharacteristic
495C2×C32#52511yescharacteristic
496C2×C32#52512yes—
497C2×C32#53212yes—
498C2×C32#53211yescharacteristic
499C3⋊D3—44no—
500C3×D3—42no—
501C24—31no—
502C24—92no—
503C24C2×D3211yescharacteristic
504#41—1832no—
505C2×Q8—64no—
506C2×Q8—62no—
507C2×D4—62no—
508C2×D4—62no—
509C2×D4—62no—
510C2×D4—184no—
511C2×D4—184no—
512C2×D4—184no—
513C2×D4—184no—
514C2×D4—184no—
515C2×D4—184no—
516C2×D4—184no—
517C2×D4—182no—
518C22×C4—31no—
519C22×C4—32no—
520C22×C4—31no—
521C22×C4—34no—
522C22×C4—32no—
523C22×C4—31no—
524C22×C4—64no—
525C22×C4—62no—
526C22×C4—64no—
527C22×C4—98no—
528C22×C4—92no—
529C22×C4—184no—
530C22×C4—184no—
531C22×C4C2×D3211yescharacteristic
532C22×C4C2×D3211yescharacteristic
533C4⋊C4—62no—
534C4⋊C4—184no—
535C22⋊C4—22no—
536C22⋊C4—62no—
537C22⋊C4—64no—
538C22⋊C4—184no—
539C22⋊C4—184no—
540C22⋊C4—184no—
541C22⋊C4—184no—
542C42—62no—
543C42—184no—
544C22×C3—22no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—22no—
548C22×C3—21no—
549C22×C3—21no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—21no—
553C22×C3—44no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—42no—
559C22×C3—41no—
560C22×C3—41no—
561C22×C3—62no—
562C22×C3—62no—
563C22×C3—62no—
564C22×C3—82no—
565C22×C3—81no—
566C22×C3—81no—
567C22×C3—122no—
568C22×C3—122no—
569C22×C3C2×#23511yescharacteristic
570C22×C3C2×#23511yescharacteristic
571C22×C3C2×D3×D412yes—
572C22×C3C2×D3×D412yes—
573C22×C3C2×D3×D411yescharacteristic
574C22×C3C2×#23911yescharacteristic
575C22×C3D3×#4111yescharacteristic
576C22×C3D3×#4112yes—
577C22×C3D3×#4112yes—
578C22×C3C22×#6711yescharacteristic
579C2×D3—22no—
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—64no—
585C2×D3—64no—
586C2×D3—64no—
587C2×D3—64no—
588C2×D3—64no—
589C2×D3—64no—
590C2×D3—124no—
591C2×D3—124no—
592C2×D3—124no—
593C2×D3—122no—
594C2×D3—122no—
595C2×D3—122no—
596C2×D3—122no—
597C2×D3—122no—
598C2×D3—122no—
599C2×D3—122no—
600C2×D3—122no—
601C2×D3—242no—
602C2×D3—242no—
603C2×D3—242no—
604C2×D3—242no—
605C3×C4—22no—
606C3×C4—22no—
607C3×C4—34no—
608C3×C4—42no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—64no—
612C3×C4—62no—
613C3×C4—81no—
614C3×C4—122no—
615C3×C4—121no—
616Dic3—22no—
617Dic3—24no—
618Dic3—42no—
619Dic3—41no—
620Dic3—64no—
621Dic3—64no—
622Dic3—124no—
623Dic3#93714yes—
624C32#238811yescharacteristic, complemented, Sylow
625C23—21no—
626C23—22no—
627C23—22no—
628C23—21no—
629C23—32no—
630C23—61no—
631C23—61no—
632C23—62no—
633C23—62no—
634C23—94no—
635C23—182no—
636C23—182no—
637C23—182no—
638C23—182no—
639C23—182no—
640C23—182no—
641C23#379912yescomplemented
642C23C22×D3211yescharacteristic
643Q8—68no—
644D4—68no—
645D4—188no—
646D4—1816no—
647D4—1816no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—34no—
652C2×C4—32no—
653C2×C4—32no—
654C2×C4—34no—
655C2×C4—68no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—94no—
666C2×C4—124no—
667C2×C4—1816no—
668C2×C4—182no—
669C2×C4—182no—
670C2×C4D3×#6712yes—
671C2×C3—22no—
672C2×C3—22no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—42no—
677C2×C3—42no—
678C2×C3—82no—
679C2×C3—122no—
680C2×C3#554712yes—
681C2×C3#554812yes—
682C2×C3D3×#12011yescharacteristic
683C2×C3#562712yes—
684C2×C3#562711yescharacteristic
685C2×C3#566812yes—
686C2×C3#566811yescharacteristic
687C2×C3#579111yescharacteristic
688C2×C3C2×#93711yescharacteristic
689C2×C3#583211yescharacteristic
690D3—42no—
691D3—124no—
692D3—124no—
693D3—244no—
694C22—24no—
695C22—22no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—62no—
700C22—62no—
701C22—62no—
702C22—122no—
703C22—122no—
704C22—184no—
705C22—184no—
706C22—184no—
707C22—362no—
708C22—362no—
709C22—362no—
710C22—362no—
711C22C2×#379911yescharacteristic
712C22D3×#23511yescharacteristic
713C22D32×D412yes—
714C22#6431212yes—
715C22C2×D3×#6711yescharacteristic
716C4—22no—
717C4—34no—
718C4—41no—
719C4—62no—
720C4—64no—
721C4—122no—
722C4—121no—
723C4—184no—
724C3—21no—
725C3#7677711yescharacteristic, complemented
726C3#8240011yescharacteristic, complemented
727C2—42no—
728C2—122no—
729C2—364no—
730C2#1059406612yes—
731C2#1059406812yes—
732C2#1059500511yescharacteristic
733C2#1059515311yescharacteristic
734C2D3×#93711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#3799C2semidirect
2. C2×C3×#67⋊C4C2semidirect
3. C2×#63952C2semidirect
4. #10592659C2semidirect
5. C3×#4947C2semidirect
6. #10591724C2semidirect
7. #10591344C2semidirect
8. #10591321C2semidirect
9. #10591292C2semidirect
10. #10591237C2semidirect
11. #10591233C2semidirect
46. C2×#67⋊C4D3semidirect
58. #4947D3semidirect
86. C2×C3×C4×D3D4semidirect
94. C2×#624D4semidirect
171. C23×C32#41semidirect
192. C2×C3⋊Dic3#41semidirect
208. C2×C3×Dic3#41semidirect
295. C2×C4×D3#67semidirect
398. C23×C3#235semidirect
399. C23×C3#239semidirect
481. C2×Dic3#235semidirect
624. C32#2388semidirect
641. C23#3799semidirect
725. C3#76777semidirect
726. C3#82400semidirect

Maximal subgroups

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

subgroupindex
C22×#37992
C2×C3×#67⋊C42
C2×#639522
#105926592
C3×#49472
#105917242
#105913442
#105913212
#105912922
#105912372
#105912332
#824003
#767773