Finite Group Databasebeta

← #11041726

Subgroups — #11041726

Order 768.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2359C211yesmaximal, characteristic, complemented
2#82880C211yesmaximal, characteristic, complemented
3#82878C211yesmaximal, characteristic, complemented
4#82413C211yesmaximal, characteristic
5#82319C211yesmaximal, characteristic, complemented
6#82280C211yesmaximal, characteristic, complemented
7#82231C211yesmaximal, characteristic, complemented
8#76172C211yesmaximal, characteristic, complemented
9#76140C211yesmaximal, characteristic, complemented
10#75909C211yesmaximal, characteristic, complemented
11#75872C211yesmaximal, characteristic, complemented
12#75657C211yesmaximal, characteristic, complemented
13#75638C211yesmaximal, characteristic, complemented
14#75343C211yesmaximal, characteristic, complemented
15#75293C211yesmaximal, characteristic, complemented
16#75249C211yesmaximal, characteristic, complemented
17#75174C211yesmaximal, characteristic, complemented
18#74864C211yesmaximal, characteristic, complemented
19#74848C211yesmaximal, characteristic, complemented
20#74500C211yesmaximal, characteristic, complemented
21#74497C211yesmaximal, characteristic, complemented
22#74447C211yesmaximal, characteristic, complemented
23#74428C211yesmaximal, characteristic, complemented
24#73647C211yesmaximal, characteristic, complemented
25C4×#898C211yesmaximal, characteristic, complemented
26#73570C211yesmaximal, characteristic, complemented
27#73542C211yesmaximal, characteristic, complemented
28#73524C211yesmaximal, characteristic, complemented
29#73515C211yesmaximal, characteristic, complemented
30#73356C211yesmaximal, characteristic, complemented
31#73354C211yesmaximal, characteristic, complemented
32#38336—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic
36C2×#930C2211yescharacteristic
37C2×#929C2211yescharacteristic
38C2×#926C2211yescharacteristic
39C2×#926C2211yescharacteristic
40C2×#898C2211yescharacteristic
41C2×#897C2211yescharacteristic
42C2×#892C2211yescharacteristic
43C2×#887C2211yescharacteristic
44C2×#884C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#388C2211yescharacteristic
47C3×#388C2211yescharacteristic
48C3×#387C2211yescharacteristic
49C3×#387C2211yescharacteristic
50C3×#386C2211yescharacteristic
51C3×#385C2211yescharacteristic
52C3×#385C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×C4×C22⋊C4C2211yescharacteristic
55C3×C4×C22⋊C4C2211yescharacteristic
56C2×C3×#95C2211yescharacteristic
57#5223C2211yescharacteristic
58#5223C2211yescharacteristic
59#5221C2211yescharacteristic
60#5221C2211yescharacteristic
61#5213C2211yescharacteristic
62#5213C2211yescharacteristic
63#5213C2211yescharacteristic
64#5213C2211yescharacteristic
65#5213C2211yescharacteristic
66#5212C2211yescharacteristic
67#5212C2211yescharacteristic
68#5212C2211yescharacteristic
69#5210C2211yescharacteristic
70#5210C2211yescharacteristic
71C4×#217C2211yescharacteristic
72C4×#217C2211yescharacteristic
73#4994C2211yescharacteristic
74#4994C2211yescharacteristic
75#4991C2211yescharacteristic
76#4991C2211yescharacteristic
77#4990C2211yescharacteristic
78#4990C2211yescharacteristic
79#4990C2211yescharacteristic
80#4990C2211yescharacteristic
81#4989C2211yescharacteristic
82#4986C2211yescharacteristic
83#4984C2211yescharacteristic
84#4984C2211yescharacteristic
85#4984C2211yescharacteristic
86#4983C2211yescharacteristic
87#4982C2211yescharacteristic
88#4982C2211yescharacteristic
89#4980C2211yescharacteristic
90#4980C2211yescharacteristic
91#4980C2211yescharacteristic
92#4980C2211yescharacteristic
93#4980C2211yescharacteristic
94#4980C2211yescharacteristic
95#4978C2211yescharacteristic
96#4978C2211yescharacteristic
97#4961C2211yescharacteristic
98#4961C2211yescharacteristic
99#4961C2211yescharacteristic
100#4961C2211yescharacteristic
101#4961C2211yescharacteristic
102#4961C2211yescharacteristic
103#4959C2211yescharacteristic
104#4959C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic
107#4957C2211yescharacteristic
108#4956C2211yescharacteristic
109#4956C2211yescharacteristic
110#4956C2211yescharacteristic
111#4953C2211yescharacteristic
112#4952C2211yescharacteristic
113#4952C2211yescharacteristic
114#4952C2211yescharacteristic
115#4951C2211yescharacteristic
116#4951C2211yescharacteristic
117#4951C2211yescharacteristic
118#4951C2211yescharacteristic
119#4951C2211yescharacteristic
120#4951C2211yescharacteristic
121#4951C2211yescharacteristic
122#4951C2211yescharacteristic
123#4949C2211yescharacteristic
124#4948C2211yescharacteristic
125#4947C2211yescharacteristic
126#4947C2211yescharacteristic
127#4945C2211yescharacteristic
128#4940C2211yescharacteristic
129#4940C2211yescharacteristic
130#4939C2211yescharacteristic
131#4939C2211yescharacteristic
132C4×(C2×D3)⋊C4C2211yescharacteristic
133C4×(C2×D3)⋊C4C2211yescharacteristic
134C4×(C2×D3)⋊C4C2211yescharacteristic
135C4×(C2×D3)⋊C4C2211yescharacteristic
136#4936C2211yescharacteristic
137#4936C2211yescharacteristic
138#4935C2211yescharacteristic
139C4×C4⋊Dic3C2211yescharacteristic
140C4×C4⋊Dic3C2211yescharacteristic
141C4×C4⋊Dic3C2211yescharacteristic
142#4933C2211yescharacteristic
143#4933C2211yescharacteristic
144#4933C2211yescharacteristic
145C4×Dic3⋊C4C2211yescharacteristic
146C42×Dic3C2211yescharacteristic
147#4929C2211yescharacteristic
148#4677C2211yescharacteristic
149#4675C2211yescharacteristic
150#4674C2211yescharacteristic
151#4674C2211yescharacteristic
152#4674C2211yescharacteristic
153#4673C2211yescharacteristic
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic
157#4670C2211yescharacteristic
158#4670C2211yescharacteristic
159#4670C2211yescharacteristic
160#4670C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic
164#4668C2211yescharacteristic
165#4665C2211yescharacteristic
166#4664C2211yescharacteristic
167C3⋊#401C2211yescharacteristic
168#4661C2211yescharacteristic
169#4661C2211yescharacteristic
170#4661C2211yescharacteristic
171#4661C2211yescharacteristic
172#4660C2211yescharacteristic
173#4659C2211yescharacteristic
174#4656C2211yescharacteristic
175#4655C2211yescharacteristic
176#4655C2211yescharacteristic
177#4654C2211yescharacteristic
178#4654C2211yescharacteristic
179#4654C2211yescharacteristic
180#4654C2211yescharacteristic
181#4653C2211yescharacteristic
182#4653C2211yescharacteristic
183#4653C2211yescharacteristic
184#4652C2211yescharacteristic
185#4651C2211yescharacteristic
186#4651C2211yescharacteristic
187#4650C2211yescharacteristic
188#2865—31no—
189#2800—31no—
190#2797—31no—
191#2791—31no—
192#2766—31no—
193#2756—31no—
194#2723—31no—
195#2705—31no—
196#2696—31no—
197#2653—31no—
198#2651—31no—
199#2609—31no—
200#2599—31no—
201#2597—31no—
202#2574—31no—
203#2517—31no—
204#2516—31no—
205#2515—31no—
206#2510—31no—
207#2500—31no—
208#2498—31no—
209#2476—31no—
210#2476—31no—
211#2464—31no—
212#2458—31no—
213#2362—31no—
214#2359D311yescharacteristic, complemented
215#2333—31no—
216#2314—31no—
217C4×#126—31no—
218#2293—31no—
219C22×C3×D4C2311yescharacteristic
220C23×C3×C4C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×Dic6C2311yescharacteristic
232C3×#123—24no—
233C3×C4×D4—24no—
234C3×#117—24no—
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×C3×C42C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267#930—42no—
268#929—42no—
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291#926—42no—
292#926—42no—
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331#898—24no—
332#897—24no—
333#892—42no—
334#887—42no—
335#884—24no—
336C3×#95C2311yescharacteristic
337C3×#95C2311yescharacteristic
338C3×#95C2311yescharacteristic
339C3×#95C2311yescharacteristic
340C3×#95C2311yescharacteristic
341C3×#95C2311yescharacteristic
342C3×#95C2311yescharacteristic
343C3×#95C2311yescharacteristic
344C3×#95C2311yescharacteristic
345C3×#95C2311yescharacteristic
346C3⋊#95C2311yescharacteristic
347C3⋊#95C2311yescharacteristic
348C3⋊#95C2311yescharacteristic
349C3⋊#95C2311yescharacteristic
350C3⋊#95C2311yescharacteristic
351C3⋊#95C2311yescharacteristic
352C3⋊#95C2311yescharacteristic
353C3⋊#95C2311yescharacteristic
354C3⋊#95C2311yescharacteristic
355C3⋊#95C2311yescharacteristic
356C3⋊#95C2311yescharacteristic
357C3⋊#95C2311yescharacteristic
358C3⋊#95C2311yescharacteristic
359C3⋊#95C2311yescharacteristic
360C3⋊#95C2311yescharacteristic
361C3⋊#95C2311yescharacteristic
362C3⋊#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C2×#126—31no—
387C2×#123—31no—
388C2×#123C2×D311yescharacteristic
389C2×C22⋊Q8—31no—
390C2×#121—31no—
391C2×#121—31no—
392C2×C4×Q8—31no—
393C2×C4×D4C2×D311yescharacteristic
394C2×#117—31no—
395C2×#117—31no—
396C2×#117—31no—
397C2×#117C2×D311yescharacteristic
398#401—31no—
399#400—31no—
400#400—31no—
401#400—31no—
402#399—31no—
403#399—31no—
404#398—31no—
405#398—31no—
406#398—31no—
407#398—31no—
408#398—31no—
409#398—31no—
410#398—31no—
411#397—31no—
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#396—31no—
420#396—31no—
421#396—31no—
422#395—31no—
423#394—31no—
424#394—31no—
425#394—31no—
426#394—31no—
427#394—31no—
428#394—31no—
429#394—31no—
430#394—31no—
431#394—31no—
432#394—31no—
433#393—31no—
434#393—31no—
435#393—31no—
436#392—31no—
437#392—31no—
438#391—31no—
439#390—31no—
440#390—31no—
441#390—31no—
442#390—31no—
443#390—31no—
444#390—31no—
445#390—31no—
446#389—31no—
447#389—31no—
448#389—31no—
449#389C2×D311yescharacteristic
450#388—31no—
451#388—31no—
452#388—31no—
453#388—31no—
454#388—31no—
455#388—31no—
456#388—31no—
457#388—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388C2×D311yescharacteristic
476#388C2×D311yescharacteristic
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387C2×D311yescharacteristic
499#387C2×D311yescharacteristic
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386C2×D311yescharacteristic
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385C2×D311yescharacteristic
515#385C2×D311yescharacteristic
516#384—31no—
517#383—31no—
518#383—31no—
519#382—31no—
520#382—31no—
521#382—31no—
522#381—31no—
523#380—31no—
524#380—31no—
525#380—31no—
526C4×C4⋊C4—31no—
527C4×C4⋊C4—31no—
528C4×C4⋊C4—31no—
529C4×C4⋊C4—31no—
530C4×C4⋊C4C2×D311yescharacteristic
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537C4×C22⋊C4C2×D311yescharacteristic
538C4×C22⋊C4C2×D311yescharacteristic
539C2×#95C2×D311yescharacteristic
540C43—31no—
541C24×C3C2411yescharacteristic
542C24×C3C2411yescharacteristic
543C23×D3C2411yescharacteristic
544C23×D3C2411yescharacteristic
545C2×C3×D4—22no—
546C2×C3×D4—22no—
547C2×C3×D4—41no—
548C22×C3×C4—22no—
549C22×C3×C4—22no—
550C22×C3×C4—22no—
551C22×C3×C4—22no—
552C22×C3×C4—22no—
553C22×C3×C4—22no—
554C22×C3×C4—41no—
555C22×C3×C4—41no—
556C22×C3×C4—41no—
557C22×C3×C4—41no—
558C22×C3×C4—41no—
559C22×C3×C4—41no—
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C2×#67—22no—
574C2×#67—22no—
575C2×#67—41no—
576C2×#67—41no—
577C2×#67—41no—
578C2×#67—41no—
579C2×#67—41no—
580C2×#67—41no—
581C2×#67—41no—
582C2×#67—41no—
583C2×#67—41no—
584C2×#67—41no—
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C2×D12—22no—
600C2×D12—41no—
601C2×D12—41no—
602C2×C4×D3—22no—
603C2×C4×D3—22no—
604C2×C4×D3—41no—
605C2×C4×D3—41no—
606C2×C4×D3—41no—
607C2×C4×D3—41no—
608C2×Dic6—22no—
609C2×Dic6—41no—
610C2×Dic6—41no—
611C3×C4⋊C4—22no—
612C3×C4⋊C4—22no—
613C3×C4⋊C4—22no—
614C3×C4⋊C4—22no—
615C3×C4⋊C4—22no—
616C3×C4⋊C4—41no—
617C3×C4⋊C4#4114yes—
618C3×C22⋊C4—22no—
619C3×C22⋊C4—22no—
620C3×C22⋊C4—22no—
621C3×C22⋊C4—22no—
622C3×C22⋊C4—22no—
623C3×C22⋊C4—41no—
624C3×C22⋊C4—41no—
625C3×C22⋊C4#4114yes—
626C3×C42—22no—
627C3×C42—22no—
628C3×C42—22no—
629C3×C42—41no—
630C3×C42—41no—
631#217—41no—
632#217—41no—
633#217—41no—
634#217—41no—
635#217—41no—
636#217—41no—
637#217—41no—
638#217—41no—
639#217—41no—
640#217—41no—
641#217—41no—
642#217—41no—
643(C2×D3)⋊C4—22no—
644(C2×D3)⋊C4—22no—
645(C2×D3)⋊C4—22no—
646(C2×D3)⋊C4—22no—
647(C2×D3)⋊C4—22no—
648(C2×D3)⋊C4—22no—
649(C2×D3)⋊C4—22no—
650(C2×D3)⋊C4—22no—
651(C2×D3)⋊C4—41no—
652(C2×D3)⋊C4—41no—
653(C2×D3)⋊C4—41no—
654(C2×D3)⋊C4—41no—
655(C2×D3)⋊C4—41no—
656(C2×D3)⋊C4—41no—
657(C2×D3)⋊C4—41no—
658(C2×D3)⋊C4—41no—
659(C2×D3)⋊C4—41no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663(C2×D3)⋊C4—41no—
664(C2×D3)⋊C4—41no—
665C4⋊Dic3—22no—
666C4⋊Dic3—22no—
667C4⋊Dic3—22no—
668C4⋊Dic3—41no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672C4⋊Dic3—41no—
673C4⋊Dic3—41no—
674C4⋊Dic3—41no—
675C4⋊Dic3—41no—
676C4⋊Dic3—41no—
677C4⋊Dic3—41no—
678C4⋊Dic3—41no—
679C4⋊Dic3—41no—
680C4⋊Dic3—41no—
681Dic3⋊C4—22no—
682Dic3⋊C4—22no—
683Dic3⋊C4—22no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686Dic3⋊C4—41no—
687Dic3⋊C4—41no—
688Dic3⋊C4—41no—
689Dic3⋊C4—41no—
690Dic3⋊C4—41no—
691C4×Dic3—22no—
692C4×Dic3—22no—
693C4×Dic3—22no—
694C4×Dic3—22no—
695C4×Dic3—41no—
696C4×Dic3—41no—
697C4×Dic3—41no—
698C4×Dic3—41no—
699C4×Dic3—41no—
700C4×Dic3—41no—
701C4×Dic3—41no—
702C4×Dic3—41no—
703C22×Q8—31no—
704C22×D4—31no—
705C22×D4—31no—
706C22×D4—31no—
707C22×D4—31no—
708C22×D4—31no—
709C22×D4C22×D311yescharacteristic
710C23×C4—31no—
711C23×C4—31no—
712C23×C4C22×D311yescharacteristic
713C23×C4C22×D311yescharacteristic
714C23×C4C22×D311yescharacteristic
715C23×C4C22×D311yescharacteristic
716#126—64no—
717#123—24no—
718#123—122no—
719C22⋊Q8—64no—
720#121—64no—
721#121—122no—
722C4×Q8—122no—
723C4×D4—24no—
724#117—24no—
725#117—122no—
726#117—122no—
727#117—122no—
728C2×C4⋊C4—31no—
729C2×C4⋊C4—31no—
730C2×C4⋊C4—31no—
731C2×C4⋊C4—31no—
732C2×C4⋊C4—31no—
733C2×C4⋊C4—31no—
734C2×C4⋊C4—31no—
735C2×C4⋊C4—31no—
736C2×C4⋊C4—31no—
737C2×C4⋊C4—31no—
738C2×C4⋊C4—31no—
739C2×C4⋊C4—31no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—31no—
742C2×C4⋊C4—31no—
743C2×C4⋊C4—31no—
744C2×C4⋊C4—31no—
745C2×C4⋊C4—31no—
746C2×C4⋊C4—31no—
747C2×C4⋊C4—31no—
748C2×C4⋊C4—31no—
749C2×C4⋊C4—31no—
750C2×C4⋊C4—31no—
751C2×C4⋊C4—31no—
752C2×C4⋊C4—31no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4C22×D311yescharacteristic
755C2×C4⋊C4C22×D311yescharacteristic
756C2×C4⋊C4C22×D311yescharacteristic
757C2×C4⋊C4C22×D311yescharacteristic
758C2×C4⋊C4C22×D311yescharacteristic
759C2×C4⋊C4C22×D311yescharacteristic
760C2×C4⋊C4C22×D311yescharacteristic
761C2×C22⋊C4—31no—
762C2×C22⋊C4—31no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—31no—
765C2×C22⋊C4—31no—
766C2×C22⋊C4—31no—
767C2×C22⋊C4—31no—
768C2×C22⋊C4—31no—
769C2×C22⋊C4—31no—
770C2×C22⋊C4—31no—
771C2×C22⋊C4—31no—
772C2×C22⋊C4—31no—
773C2×C22⋊C4—31no—
774C2×C22⋊C4—31no—
775C2×C22⋊C4—31no—
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4—31no—
784C2×C22⋊C4—31no—
785C2×C22⋊C4—31no—
786C2×C22⋊C4—31no—
787C2×C22⋊C4—31no—
788C2×C22⋊C4—31no—
789C2×C22⋊C4—31no—
790C2×C22⋊C4—31no—
791C2×C22⋊C4—31no—
792C2×C22⋊C4—31no—
793C2×C22⋊C4—31no—
794C2×C22⋊C4—31no—
795C2×C22⋊C4C22×D311yescharacteristic
796C2×C22⋊C4C22×D311yescharacteristic
797C2×C22⋊C4C22×D311yescharacteristic
798C2×C22⋊C4C22×D311yescharacteristic
799C2×C22⋊C4C22×D311yescharacteristic
800C2×C22⋊C4C22×D311yescharacteristic
801C2×C22⋊C4C22×D311yescharacteristic
802C2×C22⋊C4C22×D311yescharacteristic
803C2×C42—31no—
804C2×C42—31no—
805C2×C42—31no—
806C2×C42—31no—
807C2×C42—31no—
808C2×C42—31no—
809C2×C42—31no—
810C2×C42—31no—
811C2×C42—31no—
812C2×C42—31no—
813C2×C42—31no—
814C2×C42—31no—
815C2×C42C22×D311yescharacteristic
816C2×C42C22×D311yescharacteristic
817C2×C42C22×D311yescharacteristic
818C2×C42C22×D311yescharacteristic
819C2×C42C22×D311yescharacteristic
820#95—31no—
821#95—31no—
822#95—31no—
823#95—31no—
824#95—31no—
825#95—31no—
826#95—31no—
827#95—31no—
828#95—31no—
829#95—31no—
830#95—31no—
831#95—31no—
832#95—31no—
833#95—31no—
834#95—31no—
835#95—31no—
836#95—31no—
837#95—31no—
838#95—31no—
839#95—31no—
840#95—31no—
841#95—31no—
842#95—31no—
843#95—31no—
844#95—31no—
845#95—31no—
846#95—31no—
847#95—31no—
848#95—31no—
849#95—31no—
850#95—31no—
851#95—31no—
852#95—31no—
853#95—31no—
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95C22×D311yescharacteristic
861#95C22×D311yescharacteristic
862#95C22×D311yescharacteristic
863#95C22×D311yescharacteristic
864#95C22×D311yescharacteristic
865#95C22×D311yescharacteristic
866#95C22×D311yescharacteristic
867#95C22×D311yescharacteristic
868#95C22×D311yescharacteristic
869#95C22×D311yescharacteristic
870C23×C3—21no—
871C23×C3—21no—
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—21no—
878C23×C3—21no—
879C23×C3—21no—
880C23×C3—21no—
881C23×C3—21no—
882C23×C3—21no—
883C23×C3C2×#4112yes—
884C23×C3C2511yescharacteristic
885C22×D3—21no—
886C22×D3—21no—
887C22×D3—21no—
888C22×D3—21no—
889C22×D3—21no—
890C22×D3—21no—
891C22×D3—21no—
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
899C3×D4—44no—
900C2×C3×C4—21no—
901C2×C3×C4—21no—
902C2×C3×C4—21no—
903C2×C3×C4—21no—
904C2×C3×C4—21no—
905C2×C3×C4—21no—
906C2×C3×C4—21no—
907C2×C3×C4—21no—
908C2×C3×C4—21no—
909C2×C3×C4—21no—
910C2×C3×C4—21no—
911C2×C3×C4—21no—
912C2×C3×C4—21no—
913C2×C3×C4—21no—
914C2×C3×C4—21no—
915C2×C3×C4—21no—
916C2×C3×C4—21no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—44no—
934C2×C3×C4—44no—
935C2×C3×C4—44no—
936C2×C3×C4—82no—
937C2×C3×C4C2×#4112yes—
938C2×C3×C4C2×#4112yes—
939C2×C3×C4C2×#4112yes—
940C2×C3×C4C2×#4112yes—
941C2×C3×C4C2×#4112yes—
942C2×C3×C4H(5,𝔽2)12yes—
943#67—82no—
944#67—82no—
945#67—82no—
946#67—82no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—21no—
951C2×Dic3—21no—
952C2×Dic3—21no—
953C2×Dic3—21no—
954C2×Dic3—21no—
955C2×Dic3—21no—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989D12—82no—
990C4×D3—44no—
991C4×D3—82no—
992Dic6—44no—
993C24—31no—
994C24—31no—
995C24C23×D311yescharacteristic
996C24C23×D311yescharacteristic
997C2×Q8—62no—
998C2×Q8—121no—
999C2×Q8—121no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—41no—
1003C2×D4—62no—
1004C2×D4—62no—
1005C2×D4—62no—
1006C2×D4—121no—
1007C2×D4—121no—
1008C2×D4—121no—
1009C2×D4—121no—
1010C2×D4—121no—
1011C2×D4—121no—
1012C2×D4—121no—
1013C2×D4—121no—
1014C2×D4—121no—
1015C2×D4—121no—
1016C2×D4—121no—
1017C2×D4—121no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—31no—
1025C22×C4—31no—
1026C22×C4—31no—
1027C22×C4—31no—
1028C22×C4—31no—
1029C22×C4—31no—
1030C22×C4—31no—
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—31no—
1034C22×C4—31no—
1035C22×C4—31no—
1036C22×C4—31no—
1037C22×C4—31no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—62no—
1045C22×C4—62no—
1046C22×C4—121no—
1047C22×C4—121no—
1048C22×C4—121no—
1049C22×C4—121no—
1050C22×C4C23×D311yescharacteristic
1051C22×C4C23×D311yescharacteristic
1052C22×C4C23×D311yescharacteristic
1053C22×C4C23×D311yescharacteristic
1054C22×C4C23×D311yescharacteristic
1055C22×C4C23×D311yescharacteristic
1056C22×C4C23×D311yescharacteristic
1057C22×C4C23×D311yescharacteristic
1058C22×C4C23×D311yescharacteristic
1059C22×C4C23×D311yescharacteristic
1060C22×C4C23×D311yescharacteristic
1061C22×C4C23×D311yescharacteristic
1062C22×C4C23×D311yescharacteristic
1063C4⋊C4—22no—
1064C4⋊C4—22no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—22no—
1068C4⋊C4—41no—
1069C4⋊C4—62no—
1070C4⋊C4—62no—
1071C4⋊C4—62no—
1072C4⋊C4—62no—
1073C4⋊C4—62no—
1074C4⋊C4—62no—
1075C4⋊C4—121no—
1076C4⋊C4—121no—
1077C4⋊C4—121no—
1078C4⋊C4—121no—
1079C4⋊C4—121no—
1080C4⋊C4—121no—
1081C4⋊C4—121no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
1087C4⋊C4—121no—
1088C4⋊C4—121no—
1089C4⋊C4—121no—
1090C4⋊C4—121no—
1091C4⋊C4—121no—
1092C4⋊C4—121no—
1093C4⋊C4—121no—
1094C4⋊C4—121no—
1095C4⋊C4#23514yes—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—22no—
1100C22⋊C4—22no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—62no—
1104C22⋊C4—62no—
1105C22⋊C4—62no—
1106C22⋊C4—62no—
1107C22⋊C4—62no—
1108C22⋊C4—62no—
1109C22⋊C4—62no—
1110C22⋊C4—62no—
1111C22⋊C4—121no—
1112C22⋊C4—121no—
1113C22⋊C4—121no—
1114C22⋊C4—121no—
1115C22⋊C4—121no—
1116C22⋊C4—121no—
1117C22⋊C4—121no—
1118C22⋊C4—121no—
1119C22⋊C4—121no—
1120C22⋊C4—121no—
1121C22⋊C4—121no—
1122C22⋊C4—121no—
1123C22⋊C4—121no—
1124C22⋊C4—121no—
1125C22⋊C4—121no—
1126C22⋊C4—121no—
1127C22⋊C4—121no—
1128C22⋊C4—121no—
1129C22⋊C4—121no—
1130C22⋊C4—121no—
1131C22⋊C4—121no—
1132C22⋊C4—121no—
1133C22⋊C4—121no—
1134C22⋊C4—121no—
1135C22⋊C4—121no—
1136C22⋊C4—121no—
1137C22⋊C4#23714yes—
1138C42—22no—
1139C42—22no—
1140C42—22no—
1141C42—41no—
1142C42—41no—
1143C42—62no—
1144C42—62no—
1145C42—62no—
1146C42—62no—
1147C42—121no—
1148C42—121no—
1149C42—121no—
1150C42—121no—
1151C42—121no—
1152C42—121no—
1153C42—121no—
1154C42—121no—
1155C22×C3—22no—
1156C22×C3—22no—
1157C22×C3—22no—
1158C22×C3—41no—
1159C22×C3—41no—
1160C22×C3—41no—
1161C22×C3—41no—
1162C22×C3—41no—
1163C22×C3—41no—
1164C22×C3—41no—
1165C22×C3—41no—
1166C22×C3—41no—
1167C22×C3—41no—
1168C22×C3—41no—
1169C22×C3C22×#4111yescharacteristic
1170C22×C3C22×#4111yescharacteristic
1171C22×C3C2×H(5,𝔽2)11yescharacteristic
1172C22×C3#58511yescharacteristic
1173C22×C3#58511yescharacteristic
1174C22×C3#58511yescharacteristic
1175C22×C3#58511yescharacteristic
1176C2×D3—41no—
1177C2×D3—41no—
1178C2×D3—41no—
1179C2×D3—41no—
1180C2×D3—41no—
1181C2×D3—41no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C3×C4—22no—
1191C3×C4—22no—
1192C3×C4—22no—
1193C3×C4—22no—
1194C3×C4—22no—
1195C3×C4—22no—
1196C3×C4—41no—
1197C3×C4—41no—
1198C3×C4—41no—
1199C3×C4—41no—
1200C3×C4—41no—
1201C3×C4—41no—
1202C3×C4—41no—
1203Dic3—41no—
1204Dic3—41no—
1205Dic3—41no—
1206Dic3—41no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215Dic3—41no—
1216Dic3—41no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—61no—
1231C23—61no—
1232C23—61no—
1233C23—61no—
1234C23—61no—
1235C23—61no—
1236C23—61no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23C2×#23712yes—
1245C23C24×D311yescharacteristic
1246Q8—124no—
1247D4—44no—
1248D4—242no—
1249D4—242no—
1250D4—242no—
1251D4—242no—
1252D4—242no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—44no—
1289C2×C4—61no—
1290C2×C4—61no—
1291C2×C4—61no—
1292C2×C4—61no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—82no—
1332C2×C4—124no—
1333C2×C4—242no—
1334C2×C4C2×#23512yes—
1335C2×C4C2×#23512yes—
1336C2×C4C2×#23512yes—
1337C2×C4C2×#23712yes—
1338C2×C4C2×#23712yes—
1339C2×C4#100912yes—
1340C2×C3—42no—
1341C2×C3—81no—
1342C2×C3#346011yescharacteristic
1343C2×C3#347511yescharacteristic
1344C2×C3#351311yescharacteristic
1345C2×C3#352111yescharacteristic
1346C2×C3#352411yescharacteristic
1347C2×C3#355111yescharacteristic
1348C2×C3#356611yescharacteristic
1349D3—81no—
1350D3—81no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—121no—
1366C22—121no—
1367C22—121no—
1368C22—121no—
1369C22—121no—
1370C22—121no—
1371C22—121no—
1372C22—121no—
1373C22—121no—
1374C22—121no—
1375C22—121no—
1376C22—121no—
1377C22—121no—
1378C22—121no—
1379C22C22×#23511yescharacteristic
1380C22C22×#23711yescharacteristic
1381C22C2×#100911yescharacteristic
1382C22#596411yescharacteristic
1383C22#596411yescharacteristic
1384C22#596611yescharacteristic
1385C22#596811yescharacteristic
1386C4—22no—
1387C4—22no—
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—121no—
1400C4—121no—
1401C4—121no—
1402C4—121no—
1403C4—121no—
1404C4—121no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C4—121no—
1410C4—121no—
1411C4—121no—
1412C4—121no—
1413C3#3833611yescharacteristic, complemented, Sylow
1414C2—42no—
1415C2—81no—
1416C2—241no—
1417C2—241no—
1418C2#8576411yescharacteristic
1419C2#8583811yescharacteristic
1420C2#8589811yescharacteristic
1421C2#8663411yescharacteristic
1422C2#8668711yescharacteristic
1423C2#8682511yescharacteristic
1424C2#8684811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2359C2
prime radical#82413C2
hypercenter#2359D3
hypocenterC3#38336
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. C3×#2359C2semidirect
2. #82880C2semidirect
3. #82878C2semidirect
5. #82319C2semidirect
6. #82280C2semidirect
7. #82231C2semidirect
8. #76172C2semidirect
9. #76140C2semidirect
10. #75909C2semidirect
11. #75872C2semidirect
12. #75657C2semidirect
13. #75638C2semidirect
14. #75343C2semidirect
15. #75293C2semidirect
16. #75249C2semidirect
17. #75174C2semidirect
18. #74864C2semidirect
19. #74848C2semidirect
20. #74500C2semidirect
21. #74497C2semidirect
22. #74447C2semidirect
23. #74428C2semidirect
24. #73647C2semidirect
25. C4×#898C2semidirect
26. #73570C2semidirect
27. #73542C2semidirect
28. #73524C2semidirect
29. #73515C2semidirect
30. #73356C2semidirect
31. #73354C2semidirect
214. #2359D3semidirect
1413. C3#38336semidirect

Maximal subgroups

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

subgroupindex
C3×#23592
#828802
#828782
#824132
#823192
#822802
#822312
#761722
#761402
#759092
#758722
#756572
#756382
#753432
#752932
#752492
#751742
#748642
#748482
#745002
#744972
#744472
#744282
#736472
C4×#8982
#735702
#735422
#735242
#735152
#733562
#733542
#383363