Finite Group Databasebeta

← #11864177

Subgroups — #11864177

Order 1152.

2262 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic
2C2×#64127C211yesmaximal, characteristic, complemented
3C2×#64124C211yesmaximal, characteristic, complemented
4C3⋊D3×C22⋊Q8C211yesmaximal, characteristic, complemented
5C32×#452C211yesmaximal, characteristic, complemented
6#10592938C211yesmaximal, characteristic, complemented
7#10592885C211yesmaximal, characteristic, complemented
8#10592868C211yesmaximal, characteristic, complemented
9#10592746C211yesmaximal, characteristic, complemented
10#10592508C211yesmaximal, characteristic, complemented
11#10592502C211yesmaximal, characteristic, complemented
12#10592475C211yesmaximal, characteristic, complemented
13#10592470C211yesmaximal, characteristic, complemented
14#10592432C211yesmaximal, characteristic, complemented
15#10592425C211yesmaximal, characteristic, complemented
16#80228—34nomaximal
17C2×C32×#41C2211yescharacteristic
18#41×C3⋊D3—24no—
19#41×C3⋊D3—24no—
20C2×#3832C2211yescharacteristic
21C2×Q8×C3⋊D3C2211yescharacteristic
22C2×Q8×C3⋊D3C2211yescharacteristic, complemented
23C2×#3830—21no—
24C2×#3830C2211yescharacteristic
25C2×D4×C3⋊D3—21no—
26C2×D4×C3⋊D3C2211yescharacteristic
27C2×#3828—21no—
28C2×#3828C2211yescharacteristic
29C22×C4×C3⋊D3—21no—
30C22×C4×C3⋊D3C2211yescharacteristic
31C2×C32×Q16C2211yescharacteristic, complemented
32C2×C32×SD16C2211yescharacteristic, complemented
33C32×C22⋊Q8C2211yescharacteristic, complemented
34#64155C2211yescharacteristic
35C2×#3756C2211yescharacteristic, complemented
36C2×#3756C2211yescharacteristic, complemented
37C2×#3755C2211yescharacteristic, complemented
38C2×#3754C2211yescharacteristic, complemented
39#64133C2211yescharacteristic, complemented
40#64127—24no—
41#64124—24no—
42C2×#3746C2211yescharacteristic, complemented
43C2×#3744C2211yescharacteristic, complemented
44C2×#3743C2211yescharacteristic, complemented
45C2×#3743C2211yescharacteristic, complemented
46#64106C2211yescharacteristic
47#64105—21no—
48C4⋊C4×C3⋊D3—21no—
49C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
50C22⋊C4×C3⋊D3—21no—
51#64087—21no—
52C32×#103C2211yescharacteristic, complemented
53C32×#102C2211yescharacteristic, complemented
54C32×C22⋊C8C2211yescharacteristic, complemented
55#63662C2211yescharacteristic, complemented
56#63659C2211yescharacteristic, complemented
57#63657C2211yescharacteristic, complemented
58#63648C2211yescharacteristic, complemented
59#63647C2211yescharacteristic
60#63647C2211yescharacteristic
61#63643C2211yescharacteristic, complemented
62#63637C2211yescharacteristic, complemented
63#63636C2211yescharacteristic, complemented
64C2×D3×#41—34no—
65C2×#918—34no—
66C2×#915—34no—
67D3×C22⋊Q8—34no—
68C3×#452D314yescomplemented
69#5239—34no—
70#5186—34no—
71#5169—34no—
72#5047—34no—
73#4809—34no—
74#4803—34no—
75#4776—34no—
76#4771—34no—
77#4733—34no—
78#4726—34no—
79C23×C3⋊D3—21no—
80C23×C3⋊D3D411yescharacteristic
81C32×#41—22no—
82C32×#41—22no—
83C2×C32×Q8C2311yescharacteristic
84C2×C32×Q8C2311yescharacteristic
85C2×C32×D4—21no—
86C2×C32×D4C2311yescharacteristic
87C22×C32×C4—21no—
88C22×C32×C4C2311yescharacteristic
89C2×#638—21no—
90C2×#638—21no—
91C2×#638—21no—
92C22×C3⋊Dic3—21no—
93C22×C3⋊Dic3D411yescharacteristic
94#3832—22no—
95#3832D414yes—
96Q8×C3⋊D3—22no—
97Q8×C3⋊D3—22no—
98Q8×C3⋊D3—22no—
99Q8×C3⋊D3—22no—
100#3830—28no—
101#3830—22no—
102#3830D414yes—
103D4×C3⋊D3—28no—
104D4×C3⋊D3—22no—
105D4×C3⋊D3—22no—
106#3828—28no—
107#3828—22no—
108#3828—22no—
109C2×C4⋊(C3⋊D3)—21no—
110C2×C4⋊(C3⋊D3)C2311yescharacteristic
111C2×C4×C3⋊D3—28no—
112C2×C4×C3⋊D3—21no—
113C2×C4×C3⋊D3—21no—
114C2×C4×C3⋊D3—21no—
115C2×C4×C3⋊D3—22no—
116C2×C4×C3⋊D3—22no—
117C2×C4×C3⋊D3—21no—
118C2×C4×C3⋊D3—21no—
119C2×C4×C3⋊D3D411yescharacteristic
120C2×C4×C3⋊D3D411yescharacteristic
121C2×C4×C3⋊D3C2311yescharacteristic
122C2×C4×C3⋊D3C2311yescharacteristic
123C2×#634—21no—
124C2×#634—21no—
125C2×#634C2311yescharacteristic
126C2×#634C2311yescharacteristic
127C32×Q16—22no—
128C32×SD16—22no—
129C2×C32×C8C2311yescharacteristic
130C2×C32×C8C2311yescharacteristic
131C32×C4⋊C4—21no—
132C32×C4⋊C4C2311yescharacteristic
133C32×C22⋊C4—21no—
134#3757—21no—
135#3756—22no—
136#3756—22no—
137#3755—22no—
138#3754—22no—
139#3752—21no—
140#3752—21no—
141C4⋊(C3⋊Dic3)—21no—
142C4⋊(C3⋊Dic3)C2311yescharacteristic
143#3750—21no—
144#3750—21no—
145#3750—21no—
146C2×C3⋊(C3⋊C8)C2311yescharacteristic
147C2×C3⋊(C3⋊C8)C2311yescharacteristic
148#3746—22no—
149#3744—22no—
150#3743—22no—
151#3743—22no—
152#3007—91noSylow
153C2×C3×#41C2×D314yes—
154D3×#41—616no—
155D3×#41—616no—
156C2×#239—34no—
157C2×D3×Q8—34no—
158C2×D3×Q8—34no—
159C2×#237—34no—
160C2×#237—64no—
161C2×D3×D4—34no—
162C2×D3×D4—64no—
163C2×#235—34no—
164C2×#235—64no—
165C22×C4×D3—34no—
166C22×C4×D3—64no—
167C2×C3×Q16C2×D314yescomplemented
168C2×C3×SD16C2×D314yescomplemented
169C3×C22⋊Q8C2×D314yescomplemented
170#946—34no—
171C2×#216—34no—
172C2×#216—34no—
173C2×#215—34no—
174C2×#214—34no—
175#924—34no—
176#918—616no—
177#915—616no—
178C2×Dic12—34no—
179C2×#204—34no—
180C2×ΓL(1,𝔽25)—34no—
181C2×ΓL(1,𝔽25)—34no—
182#897—34no—
183#896—64no—
184D3×C4⋊C4—34no—
185D3×C4⋊C4—64no—
186D3×C22⋊C4—64no—
187#878—64no—
188C3×#103C2×D314yescomplemented
189C3×#102C2×D314yescomplemented
190C3×C22⋊C8C2×D314yescomplemented
191#835—34no—
192#832—34no—
193#830—34no—
194#821—34no—
195(C2×D3)⋊C8—34no—
196(C2×D3)⋊C8—34no—
197#816—34no—
198#810—34no—
199#809—34no—
200C23×C32—21no—
201C23×C32C2×D411yescharacteristic
202C22×C3⋊D3—24no—
203C22×C3⋊D3—21no—
204C22×C3⋊D3—22no—
205C22×C3⋊D3—22no—
206C22×C3⋊D3—41no—
207C22×C3⋊D3—42no—
208C22×C3⋊D3—42no—
209C22×C3⋊D3C2×D411yescharacteristic
210C22×C3⋊D3C2×D411yescharacteristic
211C32×Q8—21no—
212C32×Q8—21no—
213C32×Q8—21no—
214C32×Q8C2×D412yes—
215C32×D4—24no—
216C32×D4—21no—
217C32×D4C2×D412yes—
218C2×C32×C4—24no—
219C2×C32×C4—21no—
220C2×C32×C4—21no—
221C2×C32×C4—21no—
222C2×C32×C4—21no—
223C2×C32×C4—21no—
224C2×C32×C4C2×D411yescharacteristic
225C2×C32×C4C2411yescharacteristic
226#638—24no—
227#638—24no—
228#638—24no—
229C2×C3⋊Dic3—21no—
230C2×C3⋊Dic3—22no—
231C2×C3⋊Dic3—24no—
232C2×C3⋊Dic3—21no—
233C2×C3⋊Dic3—21no—
234C2×C3⋊Dic3C2×D411yescharacteristic
235C2×C3⋊Dic3C2×D411yescharacteristic
236C4⋊(C3⋊D3)—24no—
237C4⋊(C3⋊D3)—21no—
238C4⋊(C3⋊D3)C2×D412yes—
239C4×C3⋊D3—24no—
240C4×C3⋊D3—24no—
241C4×C3⋊D3—22no—
242C4×C3⋊D3—21no—
243C4×C3⋊D3—21no—
244C4×C3⋊D3—22no—
245C4×C3⋊D3—24no—
246C4×C3⋊D3—42no—
247C4×C3⋊D3—42no—
248C4×C3⋊D3C2×D412yes—
249C4×C3⋊D3C2×D412yes—
250#634—24no—
251#634—21no—
252#634—21no—
253#634—21no—
254#634—42no—
255#634C2×D412yes—
256C32×C8—21no—
257C32×C8—21no—
258C3⋊(C3⋊C8)—21no—
259C3⋊(C3⋊C8)—21no—
260C22×#41—91no—
261C2×#137—91no—
262C2×#137—91no—
263C2×C22⋊Q8—91no—
264#452—91no—
265#452—91no—
266#452—91no—
267#452C3⋊D311yescharacteristic, complemented
268#451—91no—
269#451—91no—
270#450—91no—
271#450—91no—
272#417—91no—
273#417—91no—
274#407—91no—
275C23×D3—34no—
276C23×D3—64no—
277C3×#41—28no—
278C3×#41—28no—
279C2×C3×Q8C22×D314yes—
280C2×C3×Q8C22×D314yes—
281C2×C3×D4—24no—
282C2×C3×D4C22×D314yes—
283C22×C3×C4—24no—
284C22×C3×C4C22×D314yes—
285C2×#67—64no—
286C2×#67—64no—
287C2×#67—64no—
288C22×Dic3—34no—
289C22×Dic3—64no—
290#239—316no—
291#239—68no—
292D3×Q8—68no—
293D3×Q8—68no—
294D3×Q8—68no—
295D3×Q8—68no—
296#237—316no—
297#237—68no—
298#237—632no—
299D3×D4—68no—
300D3×D4—632no—
301D3×D4—68no—
302#235—68no—
303#235—68no—
304#235—632no—
305C2×D12—34no—
306C2×D12—64no—
307C2×C4×D3—34no—
308C2×C4×D3—34no—
309C2×C4×D3—34no—
310C2×C4×D3—34no—
311C2×C4×D3—68no—
312C2×C4×D3—68no—
313C2×C4×D3—64no—
314C2×C4×D3—64no—
315C2×C4×D3—632no—
316C2×C4×D3—64no—
317C2×C4×D3—64no—
318C2×C4×D3—64no—
319C2×Dic6—34no—
320C2×Dic6—34no—
321C2×Dic6—64no—
322C2×Dic6—64no—
323C3×Q16—28no—
324C3×SD16—28no—
325C2×C3×C8C22×D314yes—
326C2×C3×C8C22×D314yes—
327C3×C4⋊C4—24no—
328C3×C4⋊C4C22×D314yes—
329C3×C22⋊C4—24no—
330#217—64no—
331#216—68no—
332#216—68no—
333#215—68no—
334#214—68no—
335(C2×D3)⋊C4—64no—
336(C2×D3)⋊C4—64no—
337C4⋊Dic3—34no—
338C4⋊Dic3—64no—
339Dic3⋊C4—64no—
340Dic3⋊C4—64no—
341Dic3⋊C4—64no—
342C2×C3⋊C8—34no—
343C2×C3⋊C8—34no—
344Dic12—68no—
345#204—68no—
346ΓL(1,𝔽25)—68no—
347ΓL(1,𝔽25)—68no—
348C22×C32—21no—
349C22×C32—22no—
350C22×C32—21no—
351C22×C32—21no—
352C22×C32—41no—
353C22×C32—41no—
354C22×C32C22×D411yescharacteristic
355C2×C3⋊D3—21no—
356C2×C3⋊D3—21no—
357C2×C3⋊D3—21no—
358C2×C3⋊D3—21no—
359C2×C3⋊D3—22no—
360C2×C3⋊D3—44no—
361C2×C3⋊D3—48no—
362C2×C3⋊D3—41no—
363C2×C3⋊D3—41no—
364C2×C3⋊D3#12012yes—
365C2×C3⋊D3#13712yescomplemented
366C32×C4—22no—
367C32×C4—21no—
368C32×C4—41no—
369C32×C4—41no—
370C32×C4C22×D411yescharacteristic
371C32×C4C22×D411yescharacteristic
372C3⋊Dic3—21no—
373C3⋊Dic3—22no—
374C3⋊Dic3—41no—
375C3⋊Dic3—41no—
376C3⋊Dic3#12012yes—
377C2×#41—91no—
378C2×#41—91no—
379C2×#41—91no—
380C2×#41—181no—
381C2×#41—181no—
382C2×#41—184no—
383C2×#41—184no—
384C2×#41C2×C3⋊D311yescharacteristic
385C22×Q8—91no—
386C22×Q8—91no—
387C22×D4—91no—
388C22×D4—181no—
389C23×C4—91no—
390C23×C4—181no—
391#137—184no—
392#137—184no—
393C2×Q16—91no—
394C2×Q16—91no—
395C2×Q16—91no—
396C2×Q16C2×C3⋊D311yescharacteristic, complemented
397C2×SD16—91no—
398C2×SD16—91no—
399C2×SD16—91no—
400C2×SD16C2×C3⋊D311yescharacteristic, complemented
401C2×M16—91no—
402C2×M16—91no—
403C22⋊Q8—91no—
404C22⋊Q8—91no—
405C22⋊Q8—91no—
406C22⋊Q8—181no—
407C22⋊Q8—181no—
408C22⋊Q8C2×C3⋊D311yescharacteristic, complemented
409C2×C4⋊C4—91no—
410C2×C4⋊C4—181no—
411C2×C22⋊C4—181no—
412#103—91no—
413#103—91no—
414#103—91no—
415#103C2×C3⋊D311yescharacteristic, complemented
416#102—91no—
417#102—91no—
418#102—91no—
419#102C2×C3⋊D311yescharacteristic, complemented
420C22⋊C8—91no—
421C22⋊C8—91no—
422C22⋊C8—91no—
423C22⋊C8C2×C3⋊D311yescharacteristic, complemented
424C23×C3—24no—
425C23×C3D3×D414yes—
426C22×D3—34no—
427C22×D3—34no—
428C22×D3—68no—
429C22×D3—68no—
430C22×D3—616no—
431C22×D3—64no—
432C22×D3—128no—
433C22×D3—124no—
434C22×D3—128no—
435C3×Q8—24no—
436C3×Q8—24no—
437C3×Q8—24no—
438C3×Q8D3×D418yes—
439C3×D4—216no—
440C3×D4—24no—
441C3×D4D3×D418yes—
442C2×C3×C4—216no—
443C2×C3×C4—24no—
444C2×C3×C4—24no—
445C2×C3×C4—24no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4D3×D414yes—
449C2×C3×C4C23×D314yes—
450#67—616no—
451#67—616no—
452#67—616no—
453C2×Dic3—34no—
454C2×Dic3—34no—
455C2×Dic3—616no—
456C2×Dic3—68no—
457C2×Dic3—64no—
458C2×Dic3—64no—
459C2×Dic3—64no—
460D12—38no—
461D12—616no—
462D12—64no—
463C4×D3—38no—
464C4×D3—38no—
465C4×D3—68no—
466C4×D3—616no—
467C4×D3—68no—
468C4×D3—616no—
469C4×D3—616no—
470C4×D3—64no—
471C4×D3—64no—
472C4×D3—128no—
473C4×D3—128no—
474Dic6—38no—
475Dic6—616no—
476Dic6—64no—
477Dic6—64no—
478Dic6—64no—
479Dic6—128no—
480C3×C8—24no—
481C3×C8—24no—
482C3⋊C8—64no—
483C3⋊C8—64no—
484C2×C32—41no—
485C2×C32—42no—
486C2×C32C2×#12011yescharacteristic
487C2×C32C2×#13711yescharacteristic
488C2×C32#57511yescharacteristic
489C3⋊D3—22no—
490C3⋊D3—22no—
491C3⋊D3—42no—
492C24—91no—
493C24—181no—
494#41—22no—
495#41—22no—
496#41—94no—
497#41—94no—
498#41—182no—
499#41—182no—
500#41—188no—
501#41—182no—
502#41—182no—
503#41—188no—
504C2×Q8—91no—
505C2×Q8—91no—
506C2×Q8—181no—
507C2×Q8—181no—
508C2×Q8—182no—
509C2×Q8—182no—
510C2×Q8—182no—
511C2×Q8—182no—
512C2×Q8C22×C3⋊D311yescharacteristic
513C2×Q8C22×C3⋊D311yescharacteristic
514C2×D4—21no—
515C2×D4—91no—
516C2×D4—181no—
517C2×D4—181no—
518C2×D4—182no—
519C2×D4—188no—
520C2×D4—181no—
521C2×D4—181no—
522C2×D4—182no—
523C2×D4C22×C3⋊D311yescharacteristic
524C22×C4—21no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—91no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—182no—
531C22×C4—182no—
532C22×C4—181no—
533C22×C4—181no—
534C22×C4—188no—
535C22×C4—181no—
536C22×C4—181no—
537C22×C4—181no—
538C22×C4—181no—
539C22×C4C22×C3⋊D311yescharacteristic
540Q16—22no—
541Q16—182no—
542Q16—182no—
543Q16—182no—
544SD16—22no—
545SD16—182no—
546SD16—182no—
547SD16—182no—
548M16—182no—
549M16—182no—
550C2×C8—91no—
551C2×C8—91no—
552C2×C8C22×C3⋊D311yescharacteristic
553C2×C8C22×C3⋊D311yescharacteristic
554C4⋊C4—21no—
555C4⋊C4—91no—
556C4⋊C4—181no—
557C4⋊C4—181no—
558C4⋊C4—181no—
559C4⋊C4—181no—
560C4⋊C4C22×C3⋊D311yescharacteristic
561C22⋊C4—21no—
562C22⋊C4—181no—
563C22⋊C4—181no—
564C22⋊C4—181no—
565C22×C3—24no—
566C22×C3—24no—
567C22×C3—24no—
568C22×C3—28no—
569C22×C3—44no—
570C22×C3—44no—
571C22×C3C2×D3×D414yes—
572C2×D3—38no—
573C2×D3—38no—
574C2×D3—64no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—68no—
579C2×D3—1216no—
580C2×D3—1232no—
581C2×D3—124no—
582C2×D3—124no—
583C3×C4—28no—
584C3×C4—24no—
585C3×C4—44no—
586C3×C4—44no—
587C3×C4C2×D3×D414yes—
588C3×C4C2×D3×D414yes—
589Dic3—38no—
590Dic3—68no—
591Dic3—64no—
592Dic3—124no—
593Dic3—124no—
594C32#300711yescharacteristic, complemented, Sylow
595C23—21no—
596C23—91no—
597C23—91no—
598C23—182no—
599C23—182no—
600C23—184no—
601C23—181no—
602C23—361no—
603C23—362no—
604C23—362no—
605C23D4×C3⋊D311yescharacteristic
606Q8—21no—
607Q8—21no—
608Q8—21no—
609Q8—92no—
610Q8—184no—
611Q8—181no—
612Q8—181no—
613Q8—181no—
614Q8—362no—
615Q8D4×C3⋊D312yes—
616D4—24no—
617D4—21no—
618D4—92no—
619D4—184no—
620D4—184no—
621D4—184no—
622D4—184no—
623D4—181no—
624D4D4×C3⋊D312yes—
625C2×C4—24no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—91no—
632C2×C4—92no—
633C2×C4—92no—
634C2×C4—91no—
635C2×C4—182no—
636C2×C4—184no—
637C2×C4—182no—
638C2×C4—184no—
639C2×C4—184no—
640C2×C4—182no—
641C2×C4—184no—
642C2×C4—181no—
643C2×C4—181no—
644C2×C4—181no—
645C2×C4—181no—
646C2×C4—181no—
647C2×C4—362no—
648C2×C4—362no—
649C2×C4D4×C3⋊D311yescharacteristic
650C2×C4C23×C3⋊D311yescharacteristic
651C8—21no—
652C8—21no—
653C8—181no—
654C8—181no—
655C2×C3—44no—
656C2×C3—48no—
657C2×C3D3×#12014yes—
658C2×C3#576814yes—
659C2×C3D3×#13714yes—
660D3—68no—
661D3—68no—
662D3—128no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—92no—
670C22—92no—
671C22—181no—
672C22—181no—
673C22—181no—
674C22—181no—
675C22—182no—
676C22—364no—
677C22—368no—
678C22—361no—
679C22—361no—
680C22C2×D4×C3⋊D311yescharacteristic
681C4—21no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—92no—
686C4—181no—
687C4—182no—
688C4—361no—
689C4—361no—
690C4C2×D4×C3⋊D311yescharacteristic
691C4C2×D4×C3⋊D311yescharacteristic
692C3#8022814yescomplemented
693C2—41no—
694C2—42no—
695C2—182no—
696C2—182no—
697C2—362no—
698C2C3⋊D3×#12011yescharacteristic
699C2#1059623911yescharacteristic
700C2C3⋊D3×#13711yescharacteristic
subgroupG/H
centerC22C2×D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC32×#452C2
socleC22×C32C22×D4
prime radicalC2×#41×C3⋊D3C2
hypercenter#452C3⋊D3
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #452

Complements

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

NH ≅ G/Ntype
2. C2×#64127C2semidirect
3. C2×#64124C2semidirect
4. C3⋊D3×C22⋊Q8C2semidirect
5. C32×#452C2semidirect
6. #10592938C2semidirect
7. #10592885C2semidirect
8. #10592868C2semidirect
9. #10592746C2semidirect
10. #10592508C2semidirect
11. #10592502C2semidirect
12. #10592475C2semidirect
13. #10592470C2semidirect
14. #10592432C2semidirect
15. #10592425C2semidirect
22. C2×Q8×C3⋊D3C22semidirect
31. C2×C32×Q16C22semidirect
32. C2×C32×SD16C22semidirect
33. C32×C22⋊Q8C22semidirect
35. C2×#3756C22semidirect
36. C2×#3756C22semidirect
37. C2×#3755C22semidirect
38. C2×#3754C22semidirect
39. #64133C22semidirect
42. C2×#3746C22semidirect
43. C2×#3744C22semidirect
44. C2×#3743C22semidirect
45. C2×#3743C22semidirect
49. C4⋊C4×C3⋊D3C22semidirect
52. C32×#103C22semidirect
53. C32×#102C22semidirect
54. C32×C22⋊C8C22semidirect
55. #63662C22semidirect
56. #63659C22semidirect
57. #63657C22semidirect
58. #63648C22semidirect
61. #63643C22semidirect
62. #63637C22semidirect
63. #63636C22semidirect
68. C3×#452D3semidirect
167. C2×C3×Q16C2×D3semidirect
168. C2×C3×SD16C2×D3semidirect
169. C3×C22⋊Q8C2×D3semidirect
188. C3×#103C2×D3semidirect
189. C3×#102C2×D3semidirect
190. C3×C22⋊C8C2×D3semidirect
267. #452C3⋊D3semidirect
365. C2×C3⋊D3#137semidirect
396. C2×Q16C2×C3⋊D3semidirect
400. C2×SD16C2×C3⋊D3semidirect
408. C22⋊Q8C2×C3⋊D3semidirect
415. #103C2×C3⋊D3semidirect
419. #102C2×C3⋊D3semidirect
423. C22⋊C8C2×C3⋊D3semidirect
594. C32#3007semidirect
692. C3#80228semidirect

Maximal subgroups

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

subgroupindex
C2×#41×C3⋊D32
C2×#641272
C2×#641242
C3⋊D3×C22⋊Q82
C32×#4522
#105929382
#105928852
#105928682
#105927462
#105925082
#105925022
#105924752
#105924702
#105924322
#105924252
#802283