Finite Group Databasebeta

← #11868957

Subgroups — #11868957

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#10595215C211yesmaximal, characteristic
2#10594344C211yesmaximal, characteristic, complemented
3#10592458C211yesmaximal, characteristic, complemented
4C3×D3×#102C211yesmaximal, characteristic
5C3×#4766C211yesmaximal, characteristic, complemented
6#10591479C211yesmaximal, characteristic, complemented
7#10591421C211yesmaximal, characteristic
8#10591408C211yesmaximal, characteristic, complemented
9#10590780C211yesmaximal, characteristic, complemented
10#10590762C211yesmaximal, characteristic, complemented
11#10590707C211yesmaximal, characteristic, complemented
12#10590694C211yesmaximal, characteristic, complemented
13#10590581C211yesmaximal, characteristic, complemented
14#10590472C211yesmaximal, characteristic, complemented
15#10590467C211yesmaximal, characteristic, complemented
16#81169—31nomaximal
17#78731—31nomaximal
18C2×C3×D3×D4C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic, complemented
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×D3×C8C2211yescharacteristic
23C3×D3×C4⋊C4C2211yescharacteristic
24C3×#890C2211yescharacteristic, complemented
25#67⋊Dic3—21no—
26Dic3×#67—21no—
27D3×#217—21no—
28C2×(C2×D3)⋊Dic3—21no—
29#63918C2211yescharacteristic, complemented
30#63898C2211yescharacteristic
31Dic3×D12C2211yescharacteristic
32#63872C2211yescharacteristic, complemented
33#63857—21no—
34#63855C2211yescharacteristic
35#63851—21no—
36#63846—21no—
37#63841C2211yescharacteristic
38#63841C2211yescharacteristic
39#63840—21no—
40C2×#3711C2211yescharacteristic
41C32×#102C2211yescharacteristic
42#63659C2211yescharacteristic
43#63645C2211yescharacteristic, complemented
44#63641C2211yescharacteristic, complemented
45#63634C2211yescharacteristic, complemented
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#818C2211yescharacteristic, complemented
50C3×Dic3⋊C8C2211yescharacteristic, complemented
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic, complemented
53#63575C2211yescharacteristic, complemented
54#63574C2211yescharacteristic, complemented
55#63573C2211yescharacteristic, complemented
56#63573C2211yescharacteristic, complemented
57#63572C2211yescharacteristic, complemented
58Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
59#63563C2211yescharacteristic
60#63562C2211yescharacteristic
61#5798—31no—
62#5689—31no—
63#5545—31no—
64#5500—31no—
65C3×#478—31no—
66C2×C3×#102—31no—
67#5215—31no—
68#5106—31no—
69#5102—31no—
70#5066—31no—
71#5008—31no—
72#4964—31no—
73#4891—31no—
74#4880—31no—
75#4870—31no—
76#4861—31no—
77#4846—31no—
78#4839—31no—
79#4770—31no—
80D3×#102D311yescharacteristic
81#4766—31no—
82#4766—31no—
83#4766D311yescharacteristic, complemented
84#4763—31no—
85#4763—31no—
86#4761—31no—
87#4761—31no—
88#4759—31no—
89#4759—31no—
90#4759—31no—
91#4759—61no—
92C23×C3×D3—21no—
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×#634—21no—
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C3×D3×D4—22no—
99C3×D3×D4Q814yescomplemented
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×C32×C8C2311yescharacteristic
107C32×C4⋊C4C2311yescharacteristic
108#3757—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3C2311yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C3×D3×C8—22no—
125Dic3⋊Dic3—21no—
126Dic3⋊Dic3—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3D411yescharacteristic
129Dic3⋊Dic3D411yescharacteristic
130(C2×D3)⋊Dic3—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3D411yescharacteristic
135(C2×D3)⋊Dic3D411yescharacteristic
136Dic32—21no—
137Dic32—21no—
138#3711—22no—
139#3081—91noSylow
140C22×C3×D4—31no—
141C2×D3×D4C2×D311yescharacteristic
142C22×C3×C8—31no—
143C3×#125—31no—
144C3×C4×D4—31no—
145C2×C3×C4⋊C4—31no—
146C2×#217—61no—
147C2×#217—61no—
148D4×Dic3—31no—
149D4×Dic3—31no—
150D4×Dic3—31no—
151D4×Dic3—31no—
152D4×Dic3—61no—
153D4×Dic3—61no—
154D4×Dic3—61no—
155D4×Dic3C2×D311yescharacteristic
156C4×#67—61no—
157C2×(C2×D3)⋊C4—61no—
158#926—31no—
159#926—31no—
160#926—31no—
161#924—61no—
162#924—61no—
163C2×#208—31no—
164C2×ΓL(1,𝔽25)—31no—
165C2×D3×C8C2×D311yescharacteristic
166#897—61no—
167#896—61no—
168#893—31no—
169#892—31no—
170#892—31no—
171D3×C4⋊C4C2×D311yescharacteristic
172#890—31no—
173#890—31no—
174#890—61no—
175#890C2×D311yescharacteristic, complemented
176#889—61no—
177#888—31no—
178#888—31no—
179#888—31no—
180#888—61no—
181#888—61no—
182#888—61no—
183#67⋊C4—61no—
184D3×C22⋊C4—61no—
185C4×D12—31no—
186#872—31no—
187#869—31no—
188C3×#107—31no—
189C3×#106—31no—
190C3×C4⋊C8—31no—
191C3×#102—21no—
192C3×#102—31no—
193C3×#102—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102C2×D311yescharacteristic
197C3×#102C2×D311yescharacteristic
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—61no—
203#832C2×D311yescharacteristic
204#832C2×D311yescharacteristic
205#821—31no—
206#821C2×D311yescharacteristic
207#818—31no—
208#818—31no—
209#818—31no—
210#818—61no—
211#818C2×D311yescharacteristic, complemented
212#817—31no—
213#817—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—61no—
220Dic3⋊C8C2×D311yescharacteristic, complemented
221#809—31no—
222#809C2×D311yescharacteristic
223#808—31no—
224#808—31no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic, complemented
228#807—31no—
229#807—31no—
230#807—31no—
231#807—61no—
232C4⋊(C3⋊C8)—31no—
233C23×C32—21no—
234C22×C3×D3—21no—
235C22×C3×D3—24no—
236C22×C3×D3—81no—
237C22×C3×D3—81no—
238C22×C3×D3C2×D411yescharacteristic
239C32×D4—21no—
240C32×D4C2×Q812yes—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—81no—
249C3×#67—24no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—81no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12C2×Q812yes—
259C3×C4×D3—81no—
260C3×C4×D3C2×Q812yes—
261C3×C4×D3#4112yes—
262#627—81no—
263D3×Dic3—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—91no—
280#427—91no—
281#424—91no—
282#418—91no—
283C2×#102—31no—
284C24×C3—61no—
285C23×D3—21no—
286C2×C3×D4—21no—
287C2×C3×D4—34no—
288C2×C3×D4—31no—
289C2×C3×D4—62no—
290C2×C3×D4—61no—
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C22×D311yescharacteristic
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C2×#67—21no—
297C22×Dic3—21no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—121no—
303D3×D4—22no—
304D3×D4Dic614yescomplemented
305C2×D12C22×D311yescharacteristic
306C2×C4×D3—21no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3C22×D311yescharacteristic
310C2×Dic6—61no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—121no—
315C2×C3×C8—21no—
316C2×C3×C8—31no—
317C2×C3×C8—31no—
318C2×C3×C8—62no—
319C2×C3×C8C22×D311yescharacteristic
320C2×C3×C8C22×D311yescharacteristic
321C3×C4⋊C4—21no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—61no—
331C3×C42—31no—
332#217—21no—
333#217—31no—
334#217—31no—
335#217—61no—
336#217—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—121no—
342(C2×D3)⋊C4—31no—
343(C2×D3)⋊C4—31no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348C4⋊Dic3—21no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—21no—
364Dic3⋊C4—21no—
365Dic3⋊C4—31no—
366Dic3⋊C4—31no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3C22×D311yescharacteristic
381#208—62no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—61no—
385C2×C3⋊C8C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387ΓL(1,𝔽25)—62no—
388D3×C8—22no—
389C22×C32—22no—
390C22×C32—41no—
391C22×C32—41no—
392C22×C32C22×D411yescharacteristic
393C2×C3×D3—21no—
394C2×C3×D3—21no—
395C2×C3×D3—22no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—84no—
399C2×C3×D3C22⋊Q812yes—
400C32×C4—41no—
401C32×C4C22×Q811yescharacteristic
402C32×C4C2×#4111yescharacteristic
403C3⋊Dic3—21no—
404C3⋊Dic3—21no—
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3×Dic3—21no—
408C3×Dic3—21no—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3C22⋊Q812yes—
413C22×D4—31no—
414C2×M16—91no—
415C22×C8—31no—
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—91no—
431#117—91no—
432#117—91no—
433C2×C4⋊C4—31no—
434C2×C22⋊C4—181no—
435C2×C22⋊C4—181no—
436#107—31no—
437#107—91no—
438#107—91no—
439#107—91no—
440#106—31no—
441#106—91no—
442#106—91no—
443#106—91no—
444C4⋊C8—31no—
445C4⋊C8—91no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448#102—31no—
449#102—31no—
450#102—31no—
451#102—31no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102D3211yescharacteristic
456C23×C3—21no—
457C23×C3—21no—
458C23×C3—31no—
459C23×C3—41no—
460C23×C3—64no—
461C23×C3—61no—
462C23×C3—241no—
463C23×C3—241no—
464C22×D3—21no—
465C22×D3—24no—
466C22×D3—81no—
467C22×D3—81no—
468C22×D3D3×D411yescharacteristic
469C3×D4—21no—
470C3×D4—21no—
471C3×D4—22no—
472C3×D4—32no—
473C3×D4—41no—
474C3×D4—64no—
475C3×D4—61no—
476C3×D4C2×Dic612yes—
477C3×D4D3×Q812yes—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—32no—
483C2×C3×C4—32no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—241no—
491C2×C3×C4—241no—
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—24no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—81no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—241no—
512C2×Dic3—241no—
513C2×Dic3—241no—
514C2×Dic3—241no—
515C2×Dic3—242no—
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519D12—21no—
520D12C2×Dic612yes—
521C4×D3—81no—
522C4×D3—241no—
523C4×D3—241no—
524C4×D3C2×Dic612yes—
525C4×D3#23712yes—
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×C32—42no—
542C2×C32C2×C22⋊Q811yescharacteristic
543C2×C32#57611yescharacteristic
544C2×C32#57711yescharacteristic
545C3×D3—22no—
546C3×D3—42no—
547C24—61no—
548C2×Q8—181no—
549C2×Q8—181no—
550C2×D4—34no—
551C2×D4—31no—
552C2×D4—62no—
553C2×D4—61no—
554C2×D4C2×D3211yescharacteristic
555C22×C4—31no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—181no—
559C22×C4—181no—
560C22×C4—181no—
561M16—182no—
562C2×C8—31no—
563C2×C8—31no—
564C2×C8—62no—
565C2×C8—91no—
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—91no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4C2×D3211yescharacteristic
582C22⋊C4—61no—
583C22⋊C4—91no—
584C22⋊C4—91no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—91no—
592C42—181no—
593C42—181no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—21no—
597C22×C3—32no—
598C22×C3—42no—
599C22×C3—41no—
600C22×C3—41no—
601C22×C3—41no—
602C22×C3—41no—
603C22×C3—61no—
604C22×C3—61no—
605C22×C3—62no—
606C22×C3—81no—
607C22×C3—81no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—244no—
611C22×C3C2×D3×D411yescharacteristic
612C22×C3C2×D3×D411yescharacteristic
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—84no—
619C2×D3#87812yes—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—32no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—61no—
626C3×C4—61no—
627C3×C4—81no—
628C3×C4—121no—
629C3×C4—121no—
630C3×C4—121no—
631C3×C4C22×Dic611yescharacteristic
632C3×C4C2×#23711yescharacteristic
633C3×C4C2×D3×Q811yescharacteristic
634C3×C4D3×#4111yescharacteristic
635Dic3—21no—
636Dic3—21no—
637Dic3—41no—
638Dic3—41no—
639Dic3—41no—
640Dic3—62no—
641Dic3—61no—
642Dic3—61no—
643Dic3—61no—
644Dic3—61no—
645Dic3—121no—
646Dic3—121no—
647Dic3—121no—
648Dic3—121no—
649Dic3—121no—
650Dic3—241no—
651Dic3—241no—
652Dic3#87812yes—
653C32#308111yescharacteristic, complemented, Sylow
654C23—21no—
655C23—31no—
656C23—64no—
657C23—61no—
658C23—241no—
659C23—241no—
660Q8—721no—
661Q8—721no—
662D4—21no—
663D4—32no—
664D4—64no—
665D4—61no—
666D4D3×Dic612yes—
667C2×C4—21no—
668C2×C4—31no—
669C2×C4—32no—
670C2×C4—32no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—91no—
677C2×C4—91no—
678C2×C4—181no—
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—42no—
694C2×C3—42no—
695C2×C3—62no—
696C2×C3—82no—
697C2×C3—122no—
698C2×C3C2×#87811yescharacteristic
699C2×C3D3×C22⋊Q811yescharacteristic
700C2×C3#575711yescharacteristic
701C2×C3#576211yescharacteristic
702C2×C3#576911yescharacteristic
703C2×C3#577511yescharacteristic
704D3—22no—
705D3—42no—
706C22—22no—
707C22—32no—
708C22—41no—
709C22—41no—
710C22—61no—
711C22—61no—
712C22—62no—
713C22—121no—
714C22—121no—
715C22—244no—
716C22D32×D411yescharacteristic
717C4—32no—
718C4—41no—
719C4—61no—
720C4—61no—
721C4—121no—
722C4—121no—
723C4—121no—
724C4—181no—
725C4—181no—
726C4—361no—
727C4—361no—
728C4C2×D3×Dic611yescharacteristic
729C4D3×#23711yescharacteristic
730C3—21no—
731C3#7873111yescharacteristic, complemented
732C3#8116911yescharacteristic, complemented
733C2—42no—
734C2—62no—
735C2—122no—
736C2D3×#87811yescharacteristic
737C2#1059473411yescharacteristic
738C2#1059474911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenter#102D32
hypocenterC32#3081
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. #10594344C2semidirect
3. #10592458C2semidirect
5. C3×#4766C2semidirect
6. #10591479C2semidirect
8. #10591408C2semidirect
9. #10590780C2semidirect
10. #10590762C2semidirect
11. #10590707C2semidirect
12. #10590694C2semidirect
13. #10590581C2semidirect
14. #10590472C2semidirect
15. #10590467C2semidirect
20. #64097C22semidirect
24. C3×#890C22semidirect
29. #63918C22semidirect
32. #63872C22semidirect
43. #63645C22semidirect
44. #63641C22semidirect
45. #63634C22semidirect
49. C3×#818C22semidirect
50. C3×Dic3⋊C8C22semidirect
52. C3×#808C22semidirect
53. #63575C22semidirect
54. #63574C22semidirect
55. #63573C22semidirect
56. #63573C22semidirect
57. #63572C22semidirect
58. Dic3⋊(C3⋊C8)C22semidirect
83. #4766D3semidirect
99. C3×D3×D4Q8semidirect
175. #890C2×D3semidirect
211. #818C2×D3semidirect
220. Dic3⋊C8C2×D3semidirect
227. #808C2×D3semidirect
304. D3×D4Dic6semidirect
653. C32#3081semidirect
731. C3#78731semidirect
732. C3#81169semidirect

Maximal subgroups

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

subgroupindex
#105952152
#105943442
#105924582
C3×D3×#1022
C3×#47662
#105914792
#105914212
#105914082
#105907802
#105907622
#105907072
#105906942
#105905812
#105904722
#105904672
#811693
#787313