Finite Group Databasebeta

← #11660187

Subgroups — #11660187

Order 768.

1704 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#533C211yesmaximal, characteristic
2C3×#2987C211yesmaximal, characteristic, complemented
3#83333C211yesmaximal, characteristic, complemented
4#79964C214yesmaximal, complemented
5#79963C214yesmaximal, complemented
6#79961C214yesmaximal, complemented
7#79959C214yesmaximal, complemented
8#79374C214yesmaximal
9#79359C214yesmaximal, complemented
10#79331C211yesmaximal, characteristic
11D3×#432C211yesmaximal, characteristic
12#79317C211yesmaximal, characteristic, complemented
13#79317C211yesmaximal, characteristic, complemented
14#60251—31nomaximal, Sylow
15C3×#533C2211yescharacteristic
16#5728C411yescharacteristic
17#5728C411yescharacteristic
18D3×C4⋊Q8C411yescharacteristic
19D3×C4⋊Q8C411yescharacteristic
20#5688C412yes—
21D3×#125C412yes—
22D3×C22⋊Q8C412yes—
23D3×C22⋊Q8C412yes—
24#5622C412yes—
25#5622C412yes—
26#5578C2212yes—
27#5578C2212yes—
28C4×D3×Q8C2212yes—
29C4×D3×Q8C2212yes—
30D3×#117C2212yes—
31#5517C2212yes—
32C2×C42×D3C2211yescharacteristic
33#5470C2211yescharacteristic
34C3×#446C2214yescomplemented
35C3×#446C2214yescomplemented
36C3×#433C2214yes—
37C3×#432C2211yescharacteristic
38C3×#432C2211yescharacteristic
39#5024C2214yescomplemented
40#5024C2214yescomplemented
41#5000C2214yes—
42#4926C2211yescharacteristic
43#4926C2211yescharacteristic
44#4839C2214yes—
45#4839C2214yes—
46#4837C2212yes—
47#4835C2214yes—
48#4835C2212yes—
49#4833C2214yes—
50#4833C2212yes—
51D3×C4⋊C8C2212yes—
52#4831C2214yescomplemented
53#4830C2214yescomplemented
54#4828C2214yescomplemented
55#4828C2214yescomplemented
56#4828C2214yescomplemented
57#4828C2214yescomplemented
58#4726C2212yes—
59D3×C22⋊C8C2212yes—
60#4720C2214yes—
61#4720C2214yes—
62#4719C2212yes—
63#4718C2212yes—
64#4708C2214yes—
65#4707C2212yes—
66#4705C2214yes—
67#4705C2212yes—
68#4705C2212yes—
69D3×#97C2212yes—
70#4701C2214yescomplemented
71#4701C2214yescomplemented
72#4701C2214yescomplemented
73#4701C2214yescomplemented
74#4689C2214yes—
75#4685C2214yes—
76#4679C2214yescomplemented
77C8×Dic6C2214yescomplemented
78C2×#533—31no—
79#2987—31no—
80#2987—31no—
81#2987—31no—
82#2987D311yescharacteristic, complemented
83#2985—34no—
84#2984—34no—
85#2983—34no—
86#2962—34no—
87#2961—34no—
88#2924—34no—
89#2920—31no—
90C2×#432—31no—
91C2×D3×Q8C2×C412yes—
92C2×D3×Q8C2×C412yes—
93C22×C4×D3C2×C411yescharacteristic
94C22×C4×D3C2×C411yescharacteristic
95C22×C4×D3C2311yescharacteristic
96C3×C4⋊Q8C2×C411yescharacteristic
97C3×C4⋊Q8C2×C411yescharacteristic
98C3×#125C2×C412yes—
99C3×C22⋊Q8C2×C412yes—
100C3×C22⋊Q8C2×C412yes—
101C3×C4×Q8C2312yes—
102C3×C4×Q8C2312yes—
103C3×#117C2312yes—
104C2×C3×C42C2311yescharacteristic
105#946C2×C412yes—
106#946C2×C412yes—
107Q8×Dic3C2×C412yes—
108Q8×Dic3C2×C412yes—
109#944C2×C412yes—
110#944C2×C412yes—
111#926C2312yes—
112#924C2×C412yes—
113#924C2×C412yes—
114C2×C4×Dic3C2×C411yescharacteristic
115C2×C4×Dic3C2×C411yescharacteristic
116C2×C4×Dic3C2311yescharacteristic
117C2×ΓL(1,𝔽25)C2314yes—
118C2×D3×C8C2314yes—
119#897C2×C412yes—
120#897C2×C412yes—
121#896C2×C414yes—
122#896C2×C414yes—
123#892C2×C412yes—
124#892C2×C412yes—
125D3×C4⋊C4C2×C412yes—
126D3×C4⋊C4C2×C412yes—
127D3×C4⋊C4C2×C414yes—
128D3×C4⋊C4C2×C414yes—
129D3×C4⋊C4C2×C412yes—
130D3×C4⋊C4C2×C412yes—
131#890C2×C412yes—
132#890C2×C412yes—
133#889C2×C414yes—
134#889C2×C414yes—
135#888C2×C412yes—
136#888C2×C412yes—
137#888C2×C412yes—
138#888C2×C412yes—
139#887C2×C414yes—
140#887C2×C414yes—
141#887C2×C412yes—
142#887C2×C412yes—
143D3×C22⋊C4C2×C414yes—
144#878C2×C414yes—
145#878C2×C414yes—
146#877C2×C414yes—
147#872C2314yes—
148C42×D3C2×C411yescharacteristic
149C42×D3C2×C411yescharacteristic
150C42×D3C2×C411yescharacteristic
151C42×D3C2×C411yescharacteristic
152C42×D3C2314yes—
153C42×D3C2311yescharacteristic
154C42×D3C2311yescharacteristic
155C42×D3C2311yescharacteristic
156C42×D3C2311yescharacteristic
157#870C2×C412yes—
158#869C2×C411yescharacteristic
159#869C2×C411yescharacteristic
160C4×Dic6C2314yes—
161C4×Dic6C2314yes—
162C4×Dic6C2312yes—
163C4×Dic6C2312yes—
164C3×C4⋊C8C2312yes—
165C3×C4⋊C8C2312yes—
166C3×C4⋊C8C2314yes—
167C3×C4⋊C8C2314yes—
168C3×C22⋊C8C2312yes—
169C3×C22⋊C8C2312yes—
170C3×#97C2312yes—
171C3×#97C2312yes—
172C3×#97C2314yes—
173C3×C4×C8C2314yes—
174#830C2312yes—
175#830C2312yes—
176(C2×D3)⋊C8C2314yes—
177(C2×D3)⋊C8C2314yes—
178#815C2314yes—
179#815C2314yes—
180#815C2314yes—
181Dic3⋊C8C2314yes—
182Dic3⋊C8C2314yes—
183Dic3⋊C8C2314yes—
184Dic3⋊C8C2314yes—
185Dic3⋊C8C2314yes—
186Dic3⋊C8C2314yes—
187C8×Dic3C2314yes—
188C8×Dic3C2314yes—
189C8×Dic3C2314yes—
190C4⋊(C3⋊C8)C2312yes—
191C4⋊(C3⋊C8)C2312yes—
192C4⋊(C3⋊C8)C2314yes—
193C4⋊(C3⋊C8)C2314yes—
194#803C2312yes—
195#803C2312yes—
196#803C2314yes—
197C4×C3⋊C8C2314yes—
198#533—31no—
199#533—31no—
200#533—32no—
201#533—32no—
202#533—32no—
203#533—32no—
204#533—32no—
205#533—32no—
206#533—31no—
207#533C2×D311yescharacteristic
208C2×C4⋊Q8—31no—
209C2×C4⋊Q8—31no—
210C2×#125—32no—
211C2×C22⋊Q8—32no—
212C2×C22⋊Q8—32no—
213C2×C4×Q8—32no—
214C2×C4×Q8—32no—
215C2×#117—32no—
216C22×C42—31no—
217#446—34no—
218#446—34no—
219#446—34no—
220#446—34no—
221#446—34no—
222#446—34no—
223#446—34no—
224#446—34no—
225#446—34no—
226#446—34no—
227#446—34no—
228#446—34no—
229#446C2×D314yescomplemented
230#446C2×D314yescomplemented
231C8×Q8—34no—
232C8×Q8—34no—
233#433—34no—
234#433—34no—
235#433—34no—
236#433C2×D314yes—
237#432—31no—
238#432—31no—
239#432—32no—
240#432—34no—
241#432—32no—
242#432—32no—
243#432—32no—
244#432—34no—
245#432C2×D311yescharacteristic
246#432C2×D311yescharacteristic
247#431—32no—
248#431—34no—
249#431—32no—
250#431—34no—
251#424—34no—
252#424—34no—
253#423—32no—
254C2×C4⋊C8—32no—
255#407—32no—
256C2×C22⋊C8—32no—
257#405—34no—
258#405—34no—
259C4×M16—32no—
260C2×#97—32no—
261C23×D3C22×C411yescharacteristic
262C2×C3×Q8C22×C412yes—
263C2×C3×Q8C22×C412yes—
264C22×C3×C4C22×C411yescharacteristic
265C22×C3×C4C22×C411yescharacteristic
266C22×C3×C4C2411yescharacteristic
267C22×Dic3C22×C411yescharacteristic
268C22×Dic3C22×C411yescharacteristic
269C22×Dic3C22×C411yescharacteristic
270D3×Q8—44no—
271D3×Q8—44no—
272C2×C4×D3—24no—
273C2×C4×D3—42no—
274C2×C4×D3—42no—
275C2×C4×D3C22×C411yescharacteristic
276C2×C4×D3C22×C411yescharacteristic
277C2×C4×D3C22×C411yescharacteristic
278C2×C4×D3C22×C411yescharacteristic
279C2×C4×D3C22×C411yescharacteristic
280C2×C4×D3C22×C411yescharacteristic
281C2×C4×D3C22×C414yes—
282C2×C4×D3C22×C411yescharacteristic
283C2×C4×D3C22×C411yescharacteristic
284C2×C4×D3C22×C411yescharacteristic
285C2×C4×D3C22×C411yescharacteristic
286C2×C4×D3C22×C414yes—
287C2×C4×D3C2411yescharacteristic
288C2×C4×D3C2411yescharacteristic
289C2×Dic6C22×C414yes—
290C2×Dic6C22×C412yes—
291C2×Dic6C22×C412yes—
292C2×Dic6C22×C414yes—
293C2×C3×C8C2414yes—
294C2×C3×C8C2414yes—
295C3×C4⋊C4C22×C412yes—
296C3×C4⋊C4C22×C412yes—
297C3×C4⋊C4C22×C414yes—
298C3×C4⋊C4C22×C414yes—
299C3×C4⋊C4C22×C412yes—
300C3×C4⋊C4C22×C412yes—
301C3×C22⋊C4C22×C414yes—
302C3×C42C22×C411yescharacteristic
303C3×C42C22×C411yescharacteristic
304C3×C42C2414yes—
305C3×C42C2411yescharacteristic
306C3×C42C2411yescharacteristic
307#217C22×C414yes—
308(C2×D3)⋊C4C22×C414yes—
309(C2×D3)⋊C4C22×C414yes—
310C4⋊Dic3C22×C412yes—
311C4⋊Dic3C22×C412yes—
312C4⋊Dic3C22×C414yes—
313C4⋊Dic3C22×C414yes—
314C4⋊Dic3C22×C412yes—
315C4⋊Dic3C22×C412yes—
316Dic3⋊C4C22×C414yes—
317Dic3⋊C4C22×C414yes—
318Dic3⋊C4C22×C414yes—
319Dic3⋊C4C22×C414yes—
320Dic3⋊C4C22×C414yes—
321Dic3⋊C4C22×C414yes—
322Dic3⋊C4C22×C414yes—
323Dic3⋊C4C22×C414yes—
324C4×Dic3C22×C411yescharacteristic
325C4×Dic3C22×C411yescharacteristic
326C4×Dic3C22×C411yescharacteristic
327C4×Dic3C22×C411yescharacteristic
328C4×Dic3C22×C411yescharacteristic
329C4×Dic3C22×C411yescharacteristic
330C4×Dic3C22×C411yescharacteristic
331C4×Dic3C22×C411yescharacteristic
332C4×Dic3C22×C411yescharacteristic
333C4×Dic3C22×C411yescharacteristic
334C4×Dic3C22×C414yes—
335C4×Dic3C22×C414yes—
336C4×Dic3C2411yescharacteristic
337C4×Dic3C2414yes—
338C4×Dic3C2411yescharacteristic
339C2×C3⋊C8C2414yes—
340C2×C3⋊C8C2414yes—
341ΓL(1,𝔽25)—28no—
342D3×C8—28no—
343C22×Q8—32no—
344C22×Q8—32no—
345C23×C4—31no—
346C23×C4—31no—
347C23×C4—31no—
348C2×M16—34no—
349C22×C8—34no—
350C4⋊Q8—32no—
351C4⋊Q8—32no—
352C4⋊Q8—32no—
353C4⋊Q8—32no—
354C4⋊Q8—32no—
355C4⋊Q8—32no—
356C4⋊Q8—31no—
357C4⋊Q8—31no—
358C4⋊Q8C4×D311yescharacteristic
359C4⋊Q8C4×D311yescharacteristic
360#125—34no—
361#125—34no—
362#125—32no—
363#125—32no—
364#125—32no—
365#125C4×D312yes—
366C22⋊Q8—32no—
367C22⋊Q8—32no—
368C22⋊Q8—32no—
369C22⋊Q8—32no—
370C22⋊Q8—34no—
371C22⋊Q8—34no—
372C22⋊Q8—32no—
373C22⋊Q8—32no—
374C22⋊Q8—34no—
375C22⋊Q8—34no—
376C22⋊Q8C4×D312yes—
377C22⋊Q8C4×D312yes—
378C4×Q8—32no—
379C4×Q8—32no—
380C4×Q8—32no—
381C4×Q8—32no—
382C4×Q8—34no—
383C4×Q8—34no—
384C4×Q8—34no—
385C4×Q8—32no—
386C4×Q8—32no—
387C4×Q8—34no—
388C4×Q8C22×D312yes—
389C4×Q8C22×D312yes—
390#117—32no—
391#117—32no—
392#117—32no—
393#117—34no—
394#117—34no—
395#117C22×D312yes—
396C2×C4⋊C4—32no—
397C2×C4⋊C4—32no—
398C2×C4⋊C4—34no—
399C2×C4⋊C4—34no—
400C2×C4⋊C4—32no—
401C2×C4⋊C4—32no—
402C2×C22⋊C4—34no—
403C2×C42—31no—
404C2×C42—31no—
405C2×C42—31no—
406C2×C42—31no—
407C2×C42—31no—
408C2×C42—31no—
409C2×C42—31no—
410C2×C42—34no—
411C2×C42—31no—
412C2×C42—31no—
413C2×C42—31no—
414C2×C42—31no—
415C2×C42C22×D311yescharacteristic
416C4⋊C8—34no—
417C4⋊C8—34no—
418C4⋊C8—34no—
419C4⋊C8—34no—
420C4⋊C8—34no—
421C4⋊C8—34no—
422C4⋊C8—32no—
423C4⋊C8—32no—
424C4⋊C8—34no—
425C4⋊C8—34no—
426C4⋊C8C22×D312yes—
427C4⋊C8C22×D312yes—
428C4⋊C8C22×D314yes—
429C4⋊C8C22×D314yes—
430C22⋊C8—32no—
431C22⋊C8—32no—
432C22⋊C8—34no—
433C22⋊C8—34no—
434C22⋊C8C22×D312yes—
435C22⋊C8C22×D312yes—
436#97—34no—
437#97—34no—
438#97—34no—
439#97—32no—
440#97—32no—
441#97—34no—
442#97C22×D312yes—
443#97C22×D312yes—
444#97C22×D314yes—
445C4×C8—34no—
446C4×C8—34no—
447C4×C8—34no—
448C4×C8—34no—
449C4×C8C22×D314yes—
450C23×C3C23×C411yescharacteristic
451C22×D3—22no—
452C22×D3—22no—
453C22×D3—41no—
454C22×D3C23×C411yescharacteristic
455C22×D3C23×C411yescharacteristic
456C3×Q8—42no—
457C3×Q8—42no—
458C2×C3×C4—22no—
459C2×C3×C4—41no—
460C2×C3×C4—41no—
461C2×C3×C4C23×C411yescharacteristic
462C2×C3×C4C23×C411yescharacteristic
463C2×C3×C4C23×C411yescharacteristic
464C2×C3×C4C23×C411yescharacteristic
465C2×C3×C4C23×C411yescharacteristic
466C2×C3×C4C23×C414yes—
467C2×C3×C4C23×C414yes—
468C2×C3×C4C2511yescharacteristic
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—41no—
472C2×Dic3C23×C411yescharacteristic
473C2×Dic3C23×C411yescharacteristic
474C2×Dic3C23×C411yescharacteristic
475C2×Dic3C23×C411yescharacteristic
476C2×Dic3C23×C414yes—
477C2×Dic3C23×C414yes—
478C2×Dic3C23×C411yescharacteristic
479C2×Dic3C23×C411yescharacteristic
480C4×D3—22no—
481C4×D3—22no—
482C4×D3—22no—
483C4×D3—28no—
484C4×D3—22no—
485C4×D3—22no—
486C4×D3—22no—
487C4×D3—22no—
488C4×D3—41no—
489C4×D3—41no—
490C4×D3—41no—
491C4×D3—41no—
492C4×D3—44no—
493C4×D32−1+414yes—
494Dic6—28no—
495Dic6—42no—
496Dic6—44no—
497Dic6—42no—
498C3×C8—24no—
499C3×C8—24no—
500C3⋊C8—24no—
501C3⋊C8—24no—
502C24—31no—
503C2×Q8—34no—
504C2×Q8—34no—
505C2×Q8—32no—
506C2×Q8—32no—
507C2×Q8—124no—
508C2×Q8—124no—
509C2×Q8C2×C4×D312yes—
510C2×Q8C2×C4×D312yes—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—34no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—31no—
526C22×C4—31no—
527C22×C4—34no—
528C22×C4—64no—
529C22×C4—122no—
530C22×C4—122no—
531C22×C4C2×C4×D311yescharacteristic
532C22×C4C2×C4×D311yescharacteristic
533C22×C4C23×D311yescharacteristic
534M16—68no—
535C2×C8—34no—
536C2×C8—34no—
537C2×C8—68no—
538C2×C8C23×D314yes—
539C2×C8C23×D314yes—
540C4⋊C4—34no—
541C4⋊C4—34no—
542C4⋊C4—32no—
543C4⋊C4—32no—
544C4⋊C4—34no—
545C4⋊C4—34no—
546C4⋊C4—34no—
547C4⋊C4—34no—
548C4⋊C4—34no—
549C4⋊C4—34no—
550C4⋊C4—34no—
551C4⋊C4—34no—
552C4⋊C4—32no—
553C4⋊C4—32no—
554C4⋊C4C2×C4×D312yes—
555C4⋊C4C2×C4×D312yes—
556C4⋊C4C2×C4×D314yes—
557C4⋊C4C2×C4×D314yes—
558C4⋊C4C2×C4×D312yes—
559C4⋊C4C2×C4×D312yes—
560C22⋊C4—34no—
561C22⋊C4—34no—
562C22⋊C4—34no—
563C22⋊C4C2×C4×D314yes—
564C42—31no—
565C42—31no—
566C42—31no—
567C42—31no—
568C42—31no—
569C42—31no—
570C42—31no—
571C42—31no—
572C42—31no—
573C42—31no—
574C42—34no—
575C42—34no—
576C42—31no—
577C42—34no—
578C42—31no—
579C42C2×C4×D311yescharacteristic
580C42C2×C4×D311yescharacteristic
581C42C23×D314yes—
582C42C23×D311yescharacteristic
583C42C23×D311yescharacteristic
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3C24×C411yescharacteristic
588C2×D3—21no—
589C2×D3—21no—
590C2×D3—21no—
591C2×D3—21no—
592C2×D3—44no—
593C2×D3#51912yes—
594C2×D3#56812yes—
595C3×C4—21no—
596C3×C4—24no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—24no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4C2×2−1+412yes—
603Dic3—21no—
604Dic3—24no—
605Dic3—21no—
606Dic3—24no—
607Dic3—21no—
608Dic3—21no—
609Dic3#51912yes—
610Dic3#56812yes—
611C23—31no—
612C23—31no—
613C23—62no—
614C23—62no—
615C23—121no—
616C23C22×C4×D311yescharacteristic
617Q8—42no—
618Q8—42no—
619Q8—68no—
620Q8—122no—
621Q8—122no—
622Q8—124no—
623C2×C4—22no—
624C2×C4—31no—
625C2×C4—31no—
626C2×C4—34no—
627C2×C4—31no—
628C2×C4—31no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—34no—
632C2×C4—34no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—68no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—124no—
650C2×C4—121no—
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D311yescharacteristic
654C2×C4C22×C4×D311yescharacteristic
655C2×C4C22×C4×D311yescharacteristic
656C2×C4C22×C4×D314yes—
657C2×C4C22×C4×D314yes—
658C2×C4C24×D311yescharacteristic
659C8—24no—
660C8—24no—
661C8—64no—
662C8—64no—
663C2×C3—41no—
664C2×C3C2×#51911yescharacteristic
665C2×C3C2×#56811yescharacteristic
666C2×C3C2×#56811yescharacteristic
667D3—22no—
668D3—22no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—32no—
673C22—32no—
674C22—61no—
675C22—61no—
676C22—61no—
677C22—61no—
678C22—124no—
679C22C23×C4×D311yescharacteristic
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—21no—
685C4—24no—
686C4—24no—
687C4—32no—
688C4—32no—
689C4—61no—
690C4—61no—
691C4—61no—
692C4—61no—
693C4—64no—
694C4—64no—
695C4D3×2−1+412yes—
696C3#6025111yescharacteristic, complemented, Sylow
697C2—41no—
698C2—62no—
699C2—62no—
700C2D3×#51911yescharacteristic
701C2D3×#56811yescharacteristic
702C2D3×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2987C2
prime radicalC23×D3C22×C4
cosocleC2×C3×C4C25
hypercenter#2987D3
hypocenterC3#60251
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2987

Complements

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

NH ≅ G/Ntype
2. C3×#2987C2semidirect
3. #83333C2semidirect
4. #79964C2semidirect
5. #79963C2semidirect
6. #79961C2semidirect
7. #79959C2semidirect
9. #79359C2semidirect
12. #79317C2semidirect
13. #79317C2semidirect
34. C3×#446C22semidirect
35. C3×#446C22semidirect
39. #5024C22semidirect
40. #5024C22semidirect
52. #4831C22semidirect
53. #4830C22semidirect
54. #4828C22semidirect
55. #4828C22semidirect
56. #4828C22semidirect
57. #4828C22semidirect
70. #4701C22semidirect
71. #4701C22semidirect
72. #4701C22semidirect
73. #4701C22semidirect
76. #4679C22semidirect
77. C8×Dic6C22semidirect
82. #2987D3semidirect
229. #446C2×D3semidirect
230. #446C2×D3semidirect
696. C3#60251semidirect

Maximal subgroups

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

subgroupindex
D3×#5332
C3×#29872
#833332
#799642
#799632
#799612
#799592
#793742
#793592
#793312
D3×#4322
#793172
#602513