Finite Group Databasebeta

← #11864207

Subgroups — #11864207

Order 1152.

1582 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3795C211yesmaximal, characteristic
2D3×#924C211yesmaximal, characteristic, complemented
3C2×#63800C212yesmaximal, complemented
4#10592438C211yesmaximal, characteristic, complemented
5C3×#4731C211yesmaximal, characteristic, complemented
6C3×#4726C211yesmaximal, characteristic, complemented
7#10591190C211yesmaximal, characteristic, complemented
8#10591172C211yesmaximal, characteristic, complemented
9#10590969C212yesmaximal, complemented
10#10590960C212yesmaximal, complemented
11#10590670C212yesmaximal, complemented
12#80147—31nomaximal
13#78640—31nomaximal
14C22×#634C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#625—21no—
18C22×D3×Dic3—21no—
19C2×#3795—21no—
20C2×#3795—21no—
21C2×#3795—28no—
22C2×#3795C2212yes—
23C2×#3795C2212yes—
24C2×D3×Dic6C2211yescharacteristic, complemented
25#64133C2211yescharacteristic
26C2×#3746C2212yescomplemented
27C3×#924C2211yescharacteristic
28C2×C3×#204C2212yescomplemented
29C2×C3×ΓL(1,𝔽25)C2212yescomplemented
30D3×#217—21no—
31#63964—21no—
32D3×C4⋊Dic3C2211yescharacteristic, complemented
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic, complemented
35#63856C2211yescharacteristic, complemented
36#63851—21no—
37C2×#3719C2212yescomplemented
38C2×#3716C2212yescomplemented
39#63800—28no—
40C32×C22⋊C8C2211yescharacteristic
41#63643C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×#821C2212yescomplemented
44C3×(C2×D3)⋊C8C2212yescomplemented
45#63567C2212yescomplemented
46#63563C2212yescomplemented
47C22×#237—31no—
48C22×#235—31no—
49C2×#924—31no—
50C2×#915—32no—
51C2×#909—32no—
52D3×C22⋊Q8—31no—
53C3×#450—31no—
54C3×#407—31no—
55#5218—31no—
56#5173—32no—
57#5133—32no—
58#5050—31no—
59#4783—32no—
60#4771—32no—
61#4739—31no—
62#4739—31no—
63#4739—31no—
64#4739—61no—
65#4733—32no—
66#4733—32no—
67#4731—31no—
68#4731D311yescharacteristic, complemented
69#4726D311yescharacteristic, complemented
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×#634—21no—
75C2×#634—24no—
76C2×#634C2311yescharacteristic
77C2×#634C2312yes—
78C22×C3×Dic3D411yescharacteristic
79C2×C3×D12—21no—
80C2×C3×D12—24no—
81C2×C3×D12C2312yes—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3D411yescharacteristic
84C2×C3×C4×D3D411yescharacteristic
85C2×C3×C4×D3C2311yescharacteristic
86C2×C3×C4×D3C2311yescharacteristic
87C2×C3×Dic6C2311yescharacteristic
88C2×#627—21no—
89C2×#625—28no—
90C2×#625—22no—
91C2×#625—22no—
92C2×D3×Dic3—28no—
93C2×D3×Dic3—22no—
94C2×D3×Dic3—22no—
95C2×D3×Dic3—21no—
96C2×D3×Dic3—21no—
97#3795—28no—
98#3795—28no—
99#3795—24no—
100#3795—24no—
101#3795—24no—
102#3795D418yes—
103D3×Dic6—24no—
104C2×C32×C8C2312yes—
105#3757—21no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108#3746—24no—
109C3×#217—21no—
110C3×C4⋊Dic3C2311yescharacteristic
111C3×Dic3⋊C4—21no—
112C2×C3×C3⋊C8C2312yes—
113C3×#204—24no—
114C3×ΓL(1,𝔽25)—24no—
115#3724—21no—
116Dic3⋊Dic3—21no—
117Dic3⋊Dic3—21no—
118(C2×D3)⋊Dic3—21no—
119(C2×D3)⋊Dic3—21no—
120#3719—24no—
121#3716—24no—
122#3007—91noSylow
123C22×C3×D4—31no—
124C23×C3×C4—31no—
125C22×#67—61no—
126C22×#67—61no—
127C23×Dic3—61no—
128C2×D3×Q8—31no—
129C2×#237—32no—
130C2×#237—32no—
131C2×#237—68no—
132C2×#237—61no—
133C2×#237—61no—
134C2×#235—32no—
135C2×#235—32no—
136C2×#235—68no—
137C2×#235—61no—
138C2×#235—61no—
139C22×D12C2×D311yescharacteristic
140C22×C4×D3—61no—
141C22×C4×D3C2×D311yescharacteristic
142C22×Dic6—31no—
143C22×Dic6—31no—
144C22×Dic6—31no—
145C22×Dic6—61no—
146C2×C3×SD16—32no—
147C2×C3×M16—32no—
148C3×C22⋊Q8—31no—
149C2×#217—61no—
150#946—31no—
151C2×#216—32no—
152C2×#214—32no—
153C2×C4⋊Dic3—31no—
154#924—31no—
155#924—31no—
156#924—31no—
157#924—31no—
158#924—61no—
159#924—61no—
160#924—61no—
161#924C2×D311yescharacteristic
162C2×Dic3⋊C4—61no—
163#915—68no—
164#909—68no—
165C2×Dic12—32no—
166C2×Dic12—32no—
167C2×Dic12—32no—
168C2×Dic12—62no—
169C2×#204—32no—
170C2×#204C2×D312yescomplemented
171C2×ΓL(1,𝔽25)C2×D312yescomplemented
172#897—31no—
173#896—61no—
174D3×C4⋊C4—31no—
175D3×C4⋊C4—61no—
176D3×C22⋊C4—61no—
177#878—61no—
178C3×#102—32no—
179C3×C22⋊C8—21no—
180C3×C22⋊C8—31no—
181C3×C22⋊C8—32no—
182C3×C22⋊C8C2×D311yescharacteristic
183C3×C22⋊C8C2×D311yescharacteristic
184#832—32no—
185#830C2×D311yescharacteristic
186#821—32no—
187#821C2×D312yescomplemented
188(C2×D3)⋊C8C2×D312yescomplemented
189#816—32no—
190#816—32no—
191#816—32no—
192#816—62no—
193#810—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—24no—
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3—42no—
201C22×C3×D3—42no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C2×C32×C4—22no—
205C2×C32×C4C2×D411yescharacteristic
206C2×C32×C4C2411yescharacteristic
207C2×C3⋊Dic3—24no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211#634—24no—
212#634—22no—
213#634—22no—
214#634C2×D414yes—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×D12—24no—
221C3×D12—22no—
222C3×D12C2×D414yes—
223C3×C4×D3—22no—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3C2×D414yes—
227C3×Dic6—22no—
228#627—42no—
229#625—28no—
230#625—28no—
231D3×Dic3—28no—
232D3×Dic3—28no—
233D3×Dic3—42no—
234D3×Dic3—42no—
235C32×C8—22no—
236C3×C3⋊C8—22no—
237C22×#41—91no—
238C2×#137—92no—
239C2×C22⋊Q8—91no—
240#452—92no—
241#452—92no—
242#451—91no—
243#451—91no—
244#450—31no—
245#450—91no—
246#417—92no—
247#407—31no—
248C24×C3—31no—
249C24×C3—61no—
250C23×D3—21no—
251C23×D3D1211yescharacteristic
252C2×C3×Q8—31no—
253C2×C3×D4—32no—
254C2×C3×D4—64no—
255C2×C3×D4—61no—
256C22×C3×C4—21no—
257C22×C3×C4—31no—
258C22×C3×C4—31no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—64no—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C2×#67—62no—
266C2×#67—62no—
267C2×#67—68no—
268C2×#67—68no—
269C2×#67—62no—
270C2×#67—62no—
271C22×Dic3—68no—
272C22×Dic3—61no—
273C22×Dic3—61no—
274C22×Dic3—61no—
275C22×Dic3—61no—
276C22×Dic3—62no—
277C22×Dic3—62no—
278C22×Dic3—121no—
279C22×Dic3D1211yescharacteristic
280D3×Q8—64no—
281#237—38no—
282#237—64no—
283#237—64no—
284#237—68no—
285#237—68no—
286#237—64no—
287#235—38no—
288#235—64no—
289#235—64no—
290#235—68no—
291#235—68no—
292#235—64no—
293C2×D12—21no—
294C2×D12—24no—
295C2×D12C22×D312yes—
296C2×C4×D3—24no—
297C2×C4×D3—62no—
298C2×C4×D3—62no—
299C2×C4×D3—68no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3D1211yescharacteristic
303C2×C4×D3D1211yescharacteristic
304C2×C4×D3C22×D311yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C2×Dic6—32no—
307C2×Dic6—32no—
308C2×Dic6—31no—
309C2×Dic6—31no—
310C2×Dic6—62no—
311C2×Dic6—61no—
312C2×Dic6—64no—
313C2×Dic6—64no—
314C2×Dic6—64no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—124no—
320C2×Dic6—121no—
321C2×Dic6C22×D311yescharacteristic
322C3×SD16—64no—
323C3×M16—64no—
324C2×C3×C8—22no—
325C2×C3×C8—32no—
326C2×C3×C8C22×D312yes—
327C2×C3×C8C22×D312yes—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—61no—
330C3×C22⋊C4—61no—
331#217—21no—
332#217—61no—
333#217—61no—
334#217—61no—
335#217—61no—
336#217—121no—
337#216—64no—
338#214—64no—
339(C2×D3)⋊C4—61no—
340(C2×D3)⋊C4—61no—
341C4⋊Dic3—31no—
342C4⋊Dic3—31no—
343C4⋊Dic3—61no—
344C4⋊Dic3—61no—
345C4⋊Dic3—61no—
346C4⋊Dic3C22×D311yescharacteristic
347Dic3⋊C4—21no—
348Dic3⋊C4—61no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—61no—
354Dic3⋊C4—121no—
355C2×C3⋊C8C22×D312yes—
356Dic12—64no—
357Dic12—64no—
358Dic12—64no—
359Dic12—124no—
360#204—24no—
361#204—64no—
362ΓL(1,𝔽25)—24no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3×D3—21no—
368C2×C3×D3—21no—
369C2×C3×D3—24no—
370C2×C3×D3—21no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—44no—
374C2×C3×D3—48no—
375C2×C3×D3—42no—
376C2×C3×D3—42no—
377C2×C3×D3#12012yes—
378C32×C4—21no—
379C32×C4C22×D412yes—
380C3⋊Dic3—24no—
381C3⋊Dic3—41no—
382C3⋊Dic3—41no—
383C3×Dic3—21no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3#12012yes—
387C2×#41—92no—
388C2×#41—92no—
389C2×#41—181no—
390C2×#41—181no—
391C2×#41—188no—
392C22×Q8—91no—
393C22×Q8—91no—
394C22×D4—31no—
395C22×D4—181no—
396C23×C4—31no—
397C23×C4—181no—
398#137—188no—
399C2×Q16—92no—
400C2×Q16—92no—
401C2×SD16—32no—
402C2×SD16—92no—
403C2×M16—32no—
404C22⋊Q8—31no—
405C22⋊Q8—91no—
406C22⋊Q8—91no—
407C22⋊Q8—91no—
408C22⋊Q8—181no—
409C22⋊Q8—181no—
410C2×C4⋊C4—91no—
411C2×C4⋊C4—181no—
412C2×C22⋊C4—181no—
413#103—92no—
414#103—92no—
415#102—32no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—32no—
419C22⋊C8D3211yescharacteristic
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—62no—
424C23×C3—64no—
425C23×C3—62no—
426C23×C3—62no—
427C23×C3—121no—
428C23×C3—122no—
429C23×C3—122no—
430C23×C3C2×D1211yescharacteristic
431C23×C3D3×D411yescharacteristic
432C22×D3—24no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—41no—
437C22×D3—42no—
438C22×D3—42no—
439C22×D3C2×D1211yescharacteristic
440C22×D3C2×D1211yescharacteristic
441C3×Q8—62no—
442C3×D4—34no—
443C3×D4—64no—
444C3×D4—62no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—31no—
450C2×C3×C4—34no—
451C2×C3×C4—31no—
452C2×C3×C4—42no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4C2×D1211yescharacteristic
460C2×C3×C4D3×D411yescharacteristic
461C2×C3×C4C23×D311yescharacteristic
462C2×C3×C4C23×D311yescharacteristic
463#67—68no—
464#67—68no—
465#67—68no—
466#67—68no—
467C2×Dic3—22no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—68no—
471C2×Dic3—64no—
472C2×Dic3—64no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—68no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—122no—
481C2×Dic3—124no—
482C2×Dic3—121no—
483C2×Dic3—121no—
484C2×Dic3—122no—
485C2×Dic3—122no—
486C2×Dic3C2×D1211yescharacteristic
487C2×Dic3C2×D1211yescharacteristic
488D12—24no—
489D12—22no—
490D12D3×D414yes—
491C4×D3—22no—
492C4×D3—22no—
493C4×D3—22no—
494C4×D3—68no—
495C4×D3—68no—
496C4×D3—122no—
497C4×D3—122no—
498C4×D3D3×D414yes—
499Dic6—22no—
500Dic6—34no—
501Dic6—34no—
502Dic6—64no—
503Dic6—64no—
504Dic6—64no—
505Dic6—62no—
506Dic6—62no—
507Dic6—62no—
508Dic6—62no—
509Dic6—122no—
510Dic6—124no—
511Dic6—122no—
512Dic6—122no—
513Dic6—122no—
514C3×C8—22no—
515C3×C8—22no—
516C3×C8—42no—
517C3×C8—62no—
518C3⋊C8—22no—
519C2×C32—22no—
520C2×C32C2×#12011yescharacteristic
521C2×C32C2×#13711yescharacteristic
522C2×C32#57511yescharacteristic
523C3×D3—22no—
524C3×D3—41no—
525C3×D3—44no—
526C24—31no—
527C24—61no—
528#41—98no—
529#41—184no—
530#41—184no—
531#41—184no—
532#41—188no—
533#41—188no—
534C2×Q8—31no—
535C2×Q8—92no—
536C2×Q8—91no—
537C2×Q8—184no—
538C2×Q8—181no—
539C2×Q8—184no—
540C2×Q8—181no—
541C2×D4—32no—
542C2×D4—64no—
543C2×D4—61no—
544C2×D4—182no—
545C2×D4—182no—
546C2×D4—188no—
547C22×C4—31no—
548C22×C4—31no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—64no—
553C22×C4—182no—
554C22×C4—182no—
555C22×C4—188no—
556C22×C4—181no—
557C22×C4—181no—
558C22×C4—181no—
559C22×C4C2×D3211yescharacteristic
560Q16—184no—
561Q16—184no—
562SD16—64no—
563SD16—184no—
564M16—64no—
565C2×C8—32no—
566C2×C8C2×D3212yes—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—91no—
570C4⋊C4—181no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C22⋊C4—61no—
575C22⋊C4—181no—
576C22⋊C4—181no—
577C22⋊C4—181no—
578C22×C3—21no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—22no—
584C22×C3—32no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—61no—
588C22×C3—61no—
589C22×C3—64no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—124no—
594C22×C3—128no—
595C22×C3—122no—
596C22×C3—122no—
597C22×C3#90912yescomplemented
598C22×C3#91512yescomplemented
599C22×C3C22×D1211yescharacteristic
600C22×C3C2×D3×D411yescharacteristic
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—24no—
607C2×D3—44no—
608C2×D3—48no—
609C2×D3—42no—
610C2×D3—42no—
611C2×D3#88212yes—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—41no—
617C3×C4—61no—
618C3×C4—121no—
619C3×C4—121no—
620C3×C4C2×D3×D412yes—
621C3×C4C2×D3×D412yes—
622Dic3—21no—
623Dic3—41no—
624Dic3—41no—
625Dic3—64no—
626Dic3—64no—
627Dic3—124no—
628Dic3—121no—
629Dic3—121no—
630Dic3—121no—
631Dic3—121no—
632Dic3—241no—
633Dic3—241no—
634Dic3#88212yes—
635C32#300711yescharacteristic, complemented, Sylow
636C23—31no—
637C23—31no—
638C23—62no—
639C23—64no—
640C23—62no—
641C23—62no—
642C23—121no—
643C23—122no—
644C23—122no—
645C23D3×D1211yescharacteristic
646Q8—62no—
647Q8—94no—
648Q8—184no—
649Q8—182no—
650Q8—182no—
651Q8—362no—
652D4—34no—
653D4—64no—
654D4—62no—
655D4—188no—
656D4—188no—
657C2×C4—22no—
658C2×C4—31no—
659C2×C4—34no—
660C2×C4—31no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—188no—
668C2×C4—188no—
669C2×C4—184no—
670C2×C4—182no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—362no—
674C2×C4—362no—
675C2×C4D3×D1211yescharacteristic
676C2×C4C22×D3211yescharacteristic
677C8—22no—
678C8—62no—
679C2×C3—22no—
680C2×C3—22no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—42no—
685C2×C3—62no—
686C2×C3—121no—
687C2×C3—124no—
688C2×C3C2×#88211yescharacteristic
689C2×C3D3×#12011yescharacteristic
690C2×C3C2×#90911yescharacteristic
691C2×C3#574811yescharacteristic
692C2×C3C2×#91511yescharacteristic
693C2×C3#577311yescharacteristic
694D3—22no—
695D3—44no—
696D3—41no—
697C22—21no—
698C22—21no—
699C22—32no—
700C22—61no—
701C22—61no—
702C22—61no—
703C22—61no—
704C22—61no—
705C22—64no—
706C22—124no—
707C22—128no—
708C22—122no—
709C22—122no—
710C22#6380012yescomplemented
711C22C2×D3×D1211yescharacteristic
712C4—21no—
713C4—32no—
714C4—61no—
715C4—121no—
716C4—121no—
717C4—184no—
718C4—361no—
719C4—361no—
720C4D32×D412yes—
721C3—21no—
722C3#7864011yescharacteristic, complemented
723C3#8014711yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—124no—
728C2D3×#88211yescharacteristic
729C2C2×#6380011yescharacteristic
730C2#1059471211yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC22×#3795C2
hypercenterC22⋊C8D32
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
2. D3×#924C2semidirect
3. C2×#63800C2semidirect
4. #10592438C2semidirect
5. C3×#4731C2semidirect
6. C3×#4726C2semidirect
7. #10591190C2semidirect
8. #10591172C2semidirect
9. #10590969C2semidirect
10. #10590960C2semidirect
11. #10590670C2semidirect
24. C2×D3×Dic6C22semidirect
26. C2×#3746C22semidirect
28. C2×C3×#204C22semidirect
29. C2×C3×ΓL(1,𝔽25)C22semidirect
32. D3×C4⋊Dic3C22semidirect
34. #63857C22semidirect
35. #63856C22semidirect
37. C2×#3719C22semidirect
38. C2×#3716C22semidirect
41. #63643C22semidirect
43. C3×#821C22semidirect
44. C3×(C2×D3)⋊C8C22semidirect
45. #63567C22semidirect
46. #63563C22semidirect
68. #4731D3semidirect
69. #4726D3semidirect
170. C2×#204C2×D3semidirect
171. C2×ΓL(1,𝔽25)C2×D3semidirect
187. #821C2×D3semidirect
188. (C2×D3)⋊C8C2×D3semidirect
365. C22×C32#137semidirect
597. C22×C3#909semidirect
598. C22×C3#915semidirect
635. C32#3007semidirect
710. C22#63800semidirect
722. C3#78640semidirect
723. C3#80147semidirect

Maximal subgroups

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

subgroupindex
C22×#37952
D3×#9242
C2×#638002
#105924382
C3×#47312
C3×#47262
#105911902
#105911722
#105909692
#105909602
#105906702
#801473
#786403