Finite Group Databasebeta

← #11869005

Subgroups — #11869005

Order 1152.

850 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594604C211yesmaximal, characteristic
2#10594344C211yesmaximal, characteristic, complemented
3#10592569C211yesmaximal, characteristic, complemented
4C3×#4871C211yesmaximal, characteristic, complemented
5C3×#4861C211yesmaximal, characteristic, complemented
6#10590939C211yesmaximal, characteristic
7#10590780C211yesmaximal, characteristic, complemented
8#10590764C211yesmaximal, characteristic, complemented
9#10590695C211yesmaximal, characteristic, complemented
10D3×#809C211yesmaximal, characteristic
11#10590571C211yesmaximal, characteristic, complemented
12#10590558C211yesmaximal, characteristic, complemented
13#10590471C211yesmaximal, characteristic, complemented
14#10590468C211yesmaximal, characteristic, complemented
15#10590435C211yesmaximal, characteristic, complemented
16#81169—31nomaximal
17#79242—31nomaximal
18C2×D3×D12C2211yescharacteristic
19#64102C2211yescharacteristic
20#64097C2211yescharacteristic, complemented
21C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
22C3×#893C2211yescharacteristic
23C3×#892C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#890C2211yescharacteristic, complemented
26#63921—21no—
27D3×(C2×D3)⋊C4—21no—
28#63918C2211yescharacteristic, complemented
29C4×#626—21no—
30#63898C2211yescharacteristic
31#63894C2211yescharacteristic
32#63880—21no—
33#63872C2211yescharacteristic, complemented
34#63857—21no—
35#63855C2211yescharacteristic
36#63851—21no—
37#63846—21no—
38#63841C2211yescharacteristic
39#63840—21no—
40C2×D3×C3⋊C8C2211yescharacteristic
41C32×#106C2211yescharacteristic, complemented
42#63648C2211yescharacteristic
43#63641C2211yescharacteristic, complemented
44#63636C2211yescharacteristic
45#63635C2211yescharacteristic, complemented
46C3×#821C2211yescharacteristic
47C3×#818C2211yescharacteristic, complemented
48C3×Dic3⋊C8C2211yescharacteristic, complemented
49C3×#809C2211yescharacteristic
50C3×#808C2211yescharacteristic, complemented
51C3×#807C2211yescharacteristic, complemented
52C3×#807C2211yescharacteristic, complemented
53#63575C2211yescharacteristic, complemented
54#63574C2211yescharacteristic, complemented
55#63572C2211yescharacteristic, complemented
56Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63563C2211yescharacteristic
60#63562C2211yescharacteristic
61#5689—31no—
62#5545—31no—
63#5521—31no—
64#5500—31no—
65C3×#478—31no—
66C3×#428—31no—
67#5131—31no—
68#5119—31no—
69#5066—31no—
70#5008—31no—
71#4998—31no—
72C2×#809—31no—
73#4891—31no—
74#4891—31no—
75#4891—31no—
76#4890—31no—
77#4890—31no—
78#4880—31no—
79#4871—31no—
80#4871D311yescharacteristic, complemented
81#4870—31no—
82#4870—31no—
83#4870—31no—
84#4870—61no—
85#4861D311yescharacteristic, complemented
86#4846—31no—
87#4839—31no—
88#4770—31no—
89D3×#102—31no—
90#4766—31no—
91#4759—31no—
92C22×D32—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×#634—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×#627—21no—
101C2×#626—21no—
102C2×#624—21no—
103C2×D3×Dic3—21no—
104D3×D12—22no—
105D3×D12Q814yescomplemented
106C2×C32×C8C2311yescharacteristic
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3752—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×ΓL(1,𝔽25)—22no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3D411yescharacteristic
131Dic3⋊Dic3D411yescharacteristic
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3D411yescharacteristic
136(C2×D3)⋊Dic3D411yescharacteristic
137Dic32—21no—
138D3×C3⋊C8—22no—
139#3081—91noSylow
140C2×D3×D4—31no—
141C22×D12—31no—
142C2×C3×M16—31no—
143C3×#125—31no—
144C3×C4×D4—31no—
145C3×#117—31no—
146C2×C3×C4⋊C4—31no—
147D4×Dic3—31no—
148C4×#67—61no—
149C2×(C2×D3)⋊C4—61no—
150#926—31no—
151#926—31no—
152#924—61no—
153#924—61no—
154C22×C3⋊C8—31no—
155C2×ΓL(1,𝔽25)C2×D311yescharacteristic
156C2×D3×C8—31no—
157#897—61no—
158#896—61no—
159#893—31no—
160#893—31no—
161#893—31no—
162#893—31no—
163#893—61no—
164#893C2×D311yescharacteristic
165#892—31no—
166#892C2×D311yescharacteristic
167D3×C4⋊C4C2×D311yescharacteristic
168#890—31no—
169#890—31no—
170#890—61no—
171#890C2×D311yescharacteristic, complemented
172#889—61no—
173#888—31no—
174#888—31no—
175#888—31no—
176#888—61no—
177#888—61no—
178#888—61no—
179#67⋊C4—61no—
180D3×C22⋊C4—61no—
181D3×C22⋊C4—61no—
182D3×C22⋊C4—61no—
183C4×D12—31no—
184C4×D12—61no—
185C4×D12—61no—
186#872—31no—
187#869—31no—
188C3×#107—31no—
189C3×#107—31no—
190C3×#107—31no—
191C3×#106—21no—
192C3×#106—31no—
193C3×#106C2×D311yescharacteristic, complemented
194C3×#106C2×D311yescharacteristic, complemented
195C3×C4⋊C8—31no—
196C3×#102—31no—
197C3×#102—31no—
198#832—31no—
199#832—31no—
200#821—31no—
201#821—31no—
202#821—31no—
203#821—31no—
204#821—31no—
205#821—61no—
206#821C2×D311yescharacteristic
207#818—31no—
208#818C2×D311yescharacteristic, complemented
209Dic3⋊C8—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—61no—
215Dic3⋊C8C2×D311yescharacteristic, complemented
216#809—31no—
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—61no—
222#809C2×D311yescharacteristic
223#808—31no—
224#808—31no—
225#808—31no—
226#808—31no—
227#808—61no—
228#808C2×D311yescharacteristic, complemented
229#807—31no—
230#807C2×D311yescharacteristic, complemented
231#807C2×D311yescharacteristic, complemented
232C4⋊(C3⋊C8)—31no—
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C22×C3×D3C2×D411yescharacteristic
236C2×D32—24no—
237C2×D32—81no—
238C2×D32—81no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)C2×Q812yes—
247C4×C3⋊D3—81no—
248#634—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12C2×Q812yes—
257C3×C4×D3—81no—
258C3×C4×D3—81no—
259C3×C4×D3C2×Q812yes—
260C3×C4×D3#4112yes—
261#627—81no—
262#626—24no—
263#624—81no—
264D3×Dic3—81no—
265C32×C8—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#544—91no—
270#518—91no—
271#478—31no—
272#478—91no—
273#478—91no—
274#478—91no—
275#476—91no—
276#476—91no—
277#474—91no—
278#474—91no—
279#428—31no—
280#427—91no—
281#424—91no—
282#418—91no—
283C2×#102—91no—
284C23×D3—61no—
285C23×D3—61no—
286C2×C3×D4—31no—
287C22×C3×C4—31no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C2×#67—61no—
291C22×Dic3—61no—
292D3×D4—34no—
293D3×D4—62no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—34no—
297C2×D12—61no—
298C2×D12—62no—
299C2×D12—61no—
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—121no—
309C2×C4×D3C22×D311yescharacteristic
310C2×Dic6—61no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—121no—
315C3×M16—62no—
316C2×C3×C8—21no—
317C2×C3×C8—31no—
318C2×C3×C8—31no—
319C2×C3×C8C22×D311yescharacteristic
320C2×C3×C8C22×D311yescharacteristic
321C3×C4⋊C4—21no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—61no—
337#217—31no—
338#217—31no—
339#217—61no—
340#217—61no—
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—31no—
344(C2×D3)⋊C4—31no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—121no—
352C4⋊Dic3—21no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—31no—
367Dic3⋊C4—31no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—121no—
374C4×Dic3—21no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3C22×D311yescharacteristic
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8—62no—
385C2×C3⋊C8C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387ΓL(1,𝔽25)—22no—
388D3×C8—62no—
389C22×C32C22×D411yescharacteristic
390C2×C3⋊D3—22no—
391C2×C3⋊D3—41no—
392C2×C3⋊D3—41no—
393C2×C3×D3—21no—
394C2×C3×D3—21no—
395C2×C3×D3—22no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3C22⋊Q812yes—
399D32—84no—
400C32×C4—41no—
401C32×C4—41no—
402C32×C4C22×Q811yescharacteristic
403C32×C4C2×#4111yescharacteristic
404C3⋊Dic3—21no—
405C3⋊Dic3—21no—
406C3⋊Dic3—41no—
407C3×Dic3—21no—
408C3×Dic3—21no—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3C22⋊Q812yes—
413C22×D4—91no—
414C2×M16—31no—
415C22×C8—91no—
416C4⋊Q8—91no—
417C4⋊Q8—91no—
418C4⋊Q8—181no—
419#125—31no—
420#125—91no—
421#125—181no—
422C22⋊Q8—181no—
423C22⋊Q8—181no—
424C4×D4—31no—
425C4×D4—91no—
426C4×D4—91no—
427C4×D4—91no—
428C4×D4—181no—
429C4×D4—181no—
430#117—31no—
431#117—91no—
432#117—91no—
433C2×C4⋊C4—31no—
434C2×C22⋊C4—181no—
435C2×C22⋊C4—181no—
436#107—31no—
437#107—31no—
438#107—31no—
439#107—91no—
440#106—31no—
441#106—91no—
442#106—91no—
443#106D3211yescharacteristic, complemented
444C4⋊C8—31no—
445C4⋊C8—91no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448#102—31no—
449#102—31no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456C23×C3—31no—
457C23×C3—61no—
458C22×D3—21no—
459C22×D3—64no—
460C22×D3—61no—
461C22×D3—61no—
462C22×D3—64no—
463C22×D3—121no—
464C22×D3—241no—
465C22×D3—241no—
466C22×D3—241no—
467C22×D3—241no—
468C22×D3D3×D411yescharacteristic
469C3×D4—32no—
470C3×D4—61no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—31no—
477C2×C3×C4—32no—
478C2×C3×C4—32no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—41no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—241no—
487C2×C3×C4—241no—
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490#67—64no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—31no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—121no—
503C2×Dic3—241no—
504C2×Dic3D3×D411yescharacteristic
505C2×Dic3D3×D411yescharacteristic
506C2×Dic3D3×D411yescharacteristic
507D12—21no—
508D12—32no—
509D12—32no—
510D12—62no—
511D12—64no—
512D12—61no—
513D12—61no—
514D12—121no—
515D12D3×Q812yes—
516C4×D3—81no—
517C4×D3—81no—
518C4×D3—241no—
519C4×D3—241no—
520C4×D3—241no—
521C4×D3—241no—
522C4×D3—242no—
523C4×D3—241no—
524C4×D3#23512yes—
525C4×D3D3×Q812yes—
526Dic6—241no—
527Dic6—241no—
528Dic6—241no—
529Dic6—241no—
530Dic6—242no—
531C3×C8—21no—
532C3×C8—21no—
533C3×C8—41no—
534C3×C8—61no—
535C3×C8—61no—
536C3⋊C8—21no—
537C3⋊C8—21no—
538C3⋊C8—61no—
539C3⋊C8—61no—
540C3⋊C8—121no—
541C2×C32C2×C22⋊Q811yescharacteristic
542C2×C32#57611yescharacteristic
543C2×C32#57711yescharacteristic
544C3⋊D3—42no—
545C3×D3—22no—
546C3×D3—42no—
547C24—181no—
548C2×Q8—181no—
549C2×Q8—181no—
550C2×D4—31no—
551C2×D4—94no—
552C2×D4—91no—
553C2×D4—182no—
554C2×D4—181no—
555C22×C4—31no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—181no—
559C22×C4—181no—
560C22×C4—181no—
561M16—62no—
562C2×C8—31no—
563C2×C8—31no—
564C2×C8—91no—
565C2×C8—182no—
566C2×C8C2×D3211yescharacteristic
567C4⋊C4—31no—
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4—91no—
574C4⋊C4—91no—
575C4⋊C4—91no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4C2×D3211yescharacteristic
581C4⋊C4C2×D3211yescharacteristic
582C22⋊C4—61no—
583C22⋊C4—61no—
584C22⋊C4—91no—
585C22⋊C4—91no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—61no—
592C42—91no—
593C42—181no—
594C22×C3—21no—
595C22×C3—32no—
596C22×C3—61no—
597C22×C3—61no—
598C22×C3—62no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3C2×D3×D411yescharacteristic
602C22×C3C2×D3×D411yescharacteristic
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—22no—
606C2×D3—41no—
607C2×D3—41no—
608C2×D3—62no—
609C2×D3—62no—
610C2×D3—122no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—121no—
614C2×D3—121no—
615C2×D3—241no—
616C2×D3—241no—
617C2×D3—244no—
618C2×D3—244no—
619C2×D3#89612yes—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—32no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—81no—
630C3×C4—81no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4—121no—
634C3×C4C2×#23511yescharacteristic
635C3×C4C2×D3×Q811yescharacteristic
636C3×C4C2×D3×Q811yescharacteristic
637C3×C4D3×#4111yescharacteristic
638Dic3—21no—
639Dic3—21no—
640Dic3—41no—
641Dic3—41no—
642Dic3—41no—
643Dic3—62no—
644Dic3—61no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—241no—
652Dic3#89612yes—
653C32#308111yescharacteristic, complemented, Sylow
654C23—31no—
655C23—61no—
656C23—184no—
657C23—181no—
658C23—721no—
659C23—721no—
660Q8—721no—
661Q8—721no—
662D4—32no—
663D4—61no—
664D4—92no—
665D4—184no—
666D4—181no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—31no—
670C2×C4—32no—
671C2×C4—32no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—91no—
678C2×C4—91no—
679C2×C4—181no—
680C2×C4—241no—
681C2×C4—241no—
682C2×C4—721no—
683C2×C4—721no—
684C2×C4—721no—
685C2×C4C22×D3211yescharacteristic
686C8—21no—
687C8—61no—
688C8—61no—
689C8—181no—
690C2×C3—21no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—62no—
694C2×C3—122no—
695C2×C3C2×#89611yescharacteristic
696C2×C3D3×C22⋊Q811yescharacteristic
697C2×C3#576911yescharacteristic
698C2×C3#577411yescharacteristic
699C2×C3#577511yescharacteristic
700C2×C3#577811yescharacteristic
701D3—22no—
702D3—42no—
703D3—122no—
704D3—122no—
705D3—242no—
706C22—32no—
707C22—61no—
708C22—61no—
709C22—62no—
710C22—121no—
711C22—121no—
712C22—182no—
713C22—361no—
714C22—361no—
715C22—724no—
716C22D32×D411yescharacteristic
717C4—32no—
718C4—41no—
719C4—41no—
720C4—61no—
721C4—61no—
722C4—121no—
723C4—121no—
724C4—121no—
725C4—181no—
726C4—181no—
727C4—361no—
728C4D3×#23511yescharacteristic
729C4D32×Q811yescharacteristic
730C3—21no—
731C3#7924211yescharacteristic, complemented
732C3#8116911yescharacteristic, complemented
733C2—62no—
734C2—122no—
735C2—362no—
736C2D3×#89611yescharacteristic
737C2#1059475411yescharacteristic
738C2#1059475511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC2×D3×D12C22
hypercenter#106D32
hypocenterC32#3081
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. #10594344C2semidirect
3. #10592569C2semidirect
4. C3×#4871C2semidirect
5. C3×#4861C2semidirect
7. #10590780C2semidirect
8. #10590764C2semidirect
9. #10590695C2semidirect
11. #10590571C2semidirect
12. #10590558C2semidirect
13. #10590471C2semidirect
14. #10590468C2semidirect
15. #10590435C2semidirect
20. #64097C22semidirect
25. C3×#890C22semidirect
28. #63918C22semidirect
33. #63872C22semidirect
41. C32×#106C22semidirect
43. #63641C22semidirect
45. #63635C22semidirect
47. C3×#818C22semidirect
48. C3×Dic3⋊C8C22semidirect
50. C3×#808C22semidirect
51. C3×#807C22semidirect
52. C3×#807C22semidirect
53. #63575C22semidirect
54. #63574C22semidirect
55. #63572C22semidirect
56. Dic3⋊(C3⋊C8)C22semidirect
80. #4871D3semidirect
85. #4861D3semidirect
105. D3×D12Q8semidirect
171. #890C2×D3semidirect
193. C3×#106C2×D3semidirect
194. C3×#106C2×D3semidirect
208. #818C2×D3semidirect
215. Dic3⋊C8C2×D3semidirect
228. #808C2×D3semidirect
230. #807C2×D3semidirect
231. #807C2×D3semidirect
443. #106D32semidirect
653. C32#3081semidirect
731. C3#79242semidirect
732. C3#81169semidirect

Maximal subgroups

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

subgroupindex
#105946042
#105943442
#105925692
C3×#48712
C3×#48612
#105909392
#105907802
#105907642
#105906952
D3×#8092
#105905712
#105905582
#105904712
#105904682
#105904352
#811693
#792423