Finite Group Databasebeta

← #11013363

Subgroups — #11013363

Order 768.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2666C211yesmaximal, characteristic, complemented
2#78392C211yesmaximal, characteristic, complemented
3#78365C211yesmaximal, characteristic
4#78289C211yesmaximal, characteristic, complemented
5#78256C211yesmaximal, characteristic, complemented
6#77979C211yesmaximal, characteristic, complemented
7#77973C211yesmaximal, characteristic, complemented
8#77902C211yesmaximal, characteristic, complemented
9#77901C211yesmaximal, characteristic, complemented
10#77881C211yesmaximal, characteristic, complemented
11#77878C211yesmaximal, characteristic, complemented
12#77878C211yesmaximal, characteristic, complemented
13#77849C211yesmaximal, characteristic, complemented
14#77269C211yesmaximal, characteristic, complemented
15#77267C211yesmaximal, characteristic, complemented
16#77264C211yesmaximal, characteristic, complemented
17#77232C211yesmaximal, characteristic, complemented
18#76539C211yesmaximal, characteristic, complemented
19#76532C211yesmaximal, characteristic, complemented
20#76070C211yesmaximal, characteristic, complemented
21#76056C211yesmaximal, characteristic, complemented
22#75119C211yesmaximal, characteristic, complemented
23#75089C211yesmaximal, characteristic, complemented
24#75055C211yesmaximal, characteristic, complemented
25#75055C211yesmaximal, characteristic, complemented
26#74317C211yesmaximal, characteristic, complemented
27#74262C211yesmaximal, characteristic, complemented
28#74256C211yesmaximal, characteristic, complemented
29#74155C211yesmaximal, characteristic, complemented
30#73816C211yesmaximal, characteristic, complemented
31#73752C211yesmaximal, characteristic, complemented
32#37127—31nomaximal, Sylow
33C2×#947C2211yescharacteristic
34C2×#898C2211yescharacteristic
35C2×#897C2211yescharacteristic
36C2×#895C2211yescharacteristic
37C2×#895C2211yescharacteristic
38C2×#894C2211yescharacteristic
39C2×#876C2211yescharacteristic
40C2×#875C2211yescharacteristic
41C2×C42×D3C2211yescharacteristic
42C3×#400C2211yescharacteristic
43C3×#400C2211yescharacteristic
44C3×#398C2211yescharacteristic
45C3×#398C2211yescharacteristic
46C3×#398C2211yescharacteristic
47C3×#398C2211yescharacteristic
48C3×#395C2211yescharacteristic
49C3×#395C2211yescharacteristic
50C3×#391C2211yescharacteristic
51C3×#389C2211yescharacteristic
52C3×#387C2211yescharacteristic
53C3×#387C2211yescharacteristic
54C3×#383C2211yescharacteristic
55C3×#382C2211yescharacteristic
56C3×C4×C4⋊C4C2211yescharacteristic
57#5231C2211yescharacteristic
58#5231C2211yescharacteristic
59#5229C2211yescharacteristic
60#4994C2211yescharacteristic
61#4994C2211yescharacteristic
62#4994C2211yescharacteristic
63#4994C2211yescharacteristic
64#4992C2211yescharacteristic
65#4992C2211yescharacteristic
66#4992C2211yescharacteristic
67#4992C2211yescharacteristic
68#4992C2211yescharacteristic
69#4992C2211yescharacteristic
70#4991C2211yescharacteristic
71#4991C2211yescharacteristic
72#4991C2211yescharacteristic
73#4991C2211yescharacteristic
74#4991C2211yescharacteristic
75#4991C2211yescharacteristic
76#4991C2211yescharacteristic
77#4990C2211yescharacteristic
78#4990C2211yescharacteristic
79#4990C2211yescharacteristic
80#4990C2211yescharacteristic
81#4990C2211yescharacteristic
82#4990C2211yescharacteristic
83#4990C2211yescharacteristic
84#4989C2211yescharacteristic
85#4989C2211yescharacteristic
86#4989C2211yescharacteristic
87#4988C2211yescharacteristic
88#4988C2211yescharacteristic
89#4987C2211yescharacteristic
90#4987C2211yescharacteristic
91#4987C2211yescharacteristic
92#4987C2211yescharacteristic
93#4986C2211yescharacteristic
94#4986C2211yescharacteristic
95#4986C2211yescharacteristic
96#4985C2211yescharacteristic
97#4984C2211yescharacteristic
98#4984C2211yescharacteristic
99#4982C2211yescharacteristic
100#4980C2211yescharacteristic
101#4978C2211yescharacteristic
102#4978C2211yescharacteristic
103#4977C2211yescharacteristic
104#4977C2211yescharacteristic
105#4976C2211yescharacteristic
106#4973C2211yescharacteristic
107#4940C2211yescharacteristic
108#4940C2211yescharacteristic
109#4939C2211yescharacteristic
110#4939C2211yescharacteristic
111C4×(C2×D3)⋊C4C2211yescharacteristic
112C4×(C2×D3)⋊C4C2211yescharacteristic
113C4×C4⋊Dic3C2211yescharacteristic
114#4932C2211yescharacteristic
115#4932C2211yescharacteristic
116#4675C2211yescharacteristic
117#4674C2211yescharacteristic
118#4674C2211yescharacteristic
119#4674C2211yescharacteristic
120#4674C2211yescharacteristic
121#4673C2211yescharacteristic
122#4672C2211yescharacteristic
123#4672C2211yescharacteristic
124#4672C2211yescharacteristic
125#4671C2211yescharacteristic
126#4671C2211yescharacteristic
127#4670C2211yescharacteristic
128#4670C2211yescharacteristic
129#4670C2211yescharacteristic
130#4670C2211yescharacteristic
131#4670C2211yescharacteristic
132#4670C2211yescharacteristic
133#4670C2211yescharacteristic
134#4670C2211yescharacteristic
135#4670C2211yescharacteristic
136#4670C2211yescharacteristic
137#4670C2211yescharacteristic
138#4669C2211yescharacteristic
139#4669C2211yescharacteristic
140#4669C2211yescharacteristic
141#4669C2211yescharacteristic
142#4668C2211yescharacteristic
143#4668C2211yescharacteristic
144#4668C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4668C2211yescharacteristic
148#4666C2211yescharacteristic
149#4666C2211yescharacteristic
150#4666C2211yescharacteristic
151#4665C2211yescharacteristic
152#4665C2211yescharacteristic
153#4665C2211yescharacteristic
154#4665C2211yescharacteristic
155#4665C2211yescharacteristic
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4664C2211yescharacteristic
165#4664C2211yescharacteristic
166#4664C2211yescharacteristic
167#4664C2211yescharacteristic
168#4660C2211yescharacteristic
169#4660C2211yescharacteristic
170#4660C2211yescharacteristic
171#4660C2211yescharacteristic
172#4656C2211yescharacteristic
173#4655C2211yescharacteristic
174#4655C2211yescharacteristic
175#4654C2211yescharacteristic
176#4653C2211yescharacteristic
177#4653C2211yescharacteristic
178#4653C2211yescharacteristic
179#4652C2211yescharacteristic
180#4651C2211yescharacteristic
181#4651C2211yescharacteristic
182#4651C2211yescharacteristic
183#4651C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2852—31no—
189#2850—31no—
190#2783—31no—
191#2782—31no—
192#2781—31no—
193#2775—31no—
194#2764—31no—
195#2758—31no—
196#2756—31no—
197#2756—31no—
198#2750—31no—
199#2737—31no—
200#2701—31no—
201#2700—31no—
202#2695—31no—
203#2689—31no—
204#2688—31no—
205#2686—31no—
206#2666D311yescharacteristic, complemented
207#2662—31no—
208#2595—31no—
209#2578—31no—
210#2559—31no—
211#2557—31no—
212#2532—31no—
213#2530—31no—
214#2526—31no—
215#2526—31no—
216#2337—31no—
217#2334—31no—
218#2283—31no—
219C22×C3×Q8C2311yescharacteristic
220C22×D12C2311yescharacteristic
221C22×D12C2311yescharacteristic
222C22×D12C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×C4×D3C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C42C2311yescharacteristic
247C2×C3×C42C2311yescharacteristic
248C2×C3×C42C2311yescharacteristic
249#947—42no—
250C2×(C2×D3)⋊C4C2311yescharacteristic
251C2×(C2×D3)⋊C4C2311yescharacteristic
252C2×(C2×D3)⋊C4C2311yescharacteristic
253C2×(C2×D3)⋊C4C2311yescharacteristic
254C2×(C2×D3)⋊C4C2311yescharacteristic
255C2×(C2×D3)⋊C4C2311yescharacteristic
256C2×(C2×D3)⋊C4C2311yescharacteristic
257C2×(C2×D3)⋊C4C2311yescharacteristic
258C2×(C2×D3)⋊C4C2311yescharacteristic
259C2×(C2×D3)⋊C4C2311yescharacteristic
260C2×(C2×D3)⋊C4C2311yescharacteristic
261C2×(C2×D3)⋊C4C2311yescharacteristic
262C2×(C2×D3)⋊C4C2311yescharacteristic
263C2×(C2×D3)⋊C4C2311yescharacteristic
264C2×(C2×D3)⋊C4C2311yescharacteristic
265C2×(C2×D3)⋊C4C2311yescharacteristic
266C2×(C2×D3)⋊C4C2311yescharacteristic
267C2×(C2×D3)⋊C4C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
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
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×C4×Dic3C2311yescharacteristic
310C2×C4×Dic3C2311yescharacteristic
311C2×C4×Dic3C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
315C2×C4×Dic3C2311yescharacteristic
316C2×C4×Dic3C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318C2×C4×Dic3C2311yescharacteristic
319#898—42no—
320#897—42no—
321#895—42no—
322#895—42no—
323#894—42no—
324#876—24no—
325#875—24no—
326C42×D3—24no—
327C3×#95C2311yescharacteristic
328C3×#95C2311yescharacteristic
329C3×#95C2311yescharacteristic
330C3×#95C2311yescharacteristic
331C3×#95C2311yescharacteristic
332C3×#95C2311yescharacteristic
333C3×#95C2311yescharacteristic
334C3×#95C2311yescharacteristic
335C3×#95C2311yescharacteristic
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
383C2×#126—31no—
384C2×#126—31no—
385C2×#124—31no—
386C2×#124—31no—
387C2×#123—31no—
388C2×C22⋊Q8—31no—
389C2×#121—31no—
390C2×#121—31no—
391C22×C42—31no—
392#400—31no—
393#400—31no—
394#400—31no—
395#400—31no—
396#400—31no—
397#400—31no—
398#400—31no—
399#400—31no—
400#400C2×D311yescharacteristic
401#400C2×D311yescharacteristic
402#398—31no—
403#398C2×D311yescharacteristic
404#398C2×D311yescharacteristic
405#398C2×D311yescharacteristic
406#398C2×D311yescharacteristic
407#397—31no—
408#397—31no—
409#397—31no—
410#397—31no—
411#397—31no—
412#397—31no—
413#397—31no—
414#397—31no—
415#397—31no—
416#397—31no—
417#397—31no—
418#396—31no—
419#396—31no—
420#396—31no—
421#396—31no—
422#395—31no—
423#395C2×D311yescharacteristic
424#395C2×D311yescharacteristic
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#394—31no—
434#394—31no—
435#393—31no—
436#393—31no—
437#393—31no—
438#392—31no—
439#392—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#391—31no—
444#391C2×D311yescharacteristic
445#390—31no—
446#390—31no—
447#390—31no—
448#390—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389C2×D311yescharacteristic
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#388—31no—
476#388—31no—
477#388—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#387C2×D311yescharacteristic
489#387C2×D311yescharacteristic
490#386—31no—
491#386—31no—
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#385—31no—
504#385—31no—
505#385—31no—
506#385—31no—
507#385—31no—
508#385—31no—
509#385—31no—
510#385—31no—
511#385—31no—
512#383—31no—
513#383—31no—
514#383—31no—
515#383—31no—
516#383C2×D311yescharacteristic
517#382—31no—
518#382—31no—
519#382C2×D311yescharacteristic
520#381—31no—
521#381—31no—
522#381—31no—
523#381—31no—
524#380—31no—
525#380—31no—
526#380—31no—
527#380—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—
536#376—31no—
537#376—31no—
538C23×D3C2411yescharacteristic
539C23×D3C2411yescharacteristic
540C23×D3C2411yescharacteristic
541C23×D3C2411yescharacteristic
542C2×C3×Q8—41no—
543C2×C3×Q8—41no—
544C2×C3×Q8—41no—
545C22×C3×C4C2411yescharacteristic
546C22×C3×C4C2411yescharacteristic
547C22×C3×C4C2411yescharacteristic
548C22×C3×C4C2411yescharacteristic
549C22×C3×C4C2411yescharacteristic
550C22×C3×C4C2411yescharacteristic
551C22×C3×C4C2411yescharacteristic
552C22×C3×C4C2411yescharacteristic
553C22×C3×C4C2411yescharacteristic
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C22×C3×C4C2411yescharacteristic
560C22×Dic3C2411yescharacteristic
561C22×Dic3C2411yescharacteristic
562C22×Dic3C2411yescharacteristic
563C22×Dic3C2411yescharacteristic
564C22×Dic3C2411yescharacteristic
565C22×Dic3C2411yescharacteristic
566C22×Dic3C2411yescharacteristic
567C22×Dic3C2411yescharacteristic
568C22×Dic3C2411yescharacteristic
569C22×Dic3C2411yescharacteristic
570C22×Dic3C2411yescharacteristic
571C22×Dic3C2411yescharacteristic
572C2×D12—22no—
573C2×D12—22no—
574C2×D12—22no—
575C2×D12—22no—
576C2×D12—41no—
577C2×D12—41no—
578C2×D12—41no—
579C2×D12—41no—
580C2×D12—41no—
581C2×D12—41no—
582C2×D12—41no—
583C2×D12—41no—
584C2×D12—41no—
585C2×D12—41no—
586C2×D12—41no—
587C2×D12—41no—
588C2×D12—41no—
589C2×D12—41no—
590C2×C4×D3—22no—
591C2×C4×D3—22no—
592C2×C4×D3—22no—
593C2×C4×D3—22no—
594C2×C4×D3—41no—
595C2×C4×D3—41no—
596C2×C4×D3—41no—
597C2×C4×D3—41no—
598C2×C4×D3—41no—
599C2×C4×D3—41no—
600C2×C4×D3—41no—
601C2×C4×D3—41no—
602C2×C4×D3—41no—
603C2×C4×D3—41no—
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—41no—
612C3×C4⋊C4—41no—
613C3×C4⋊C4—41no—
614C3×C4⋊C4—41no—
615C3×C4⋊C4—41no—
616C3×C4⋊C4—41no—
617C3×C4⋊C4—41no—
618C3×C4⋊C4—41no—
619C3×C4⋊C4—41no—
620C3×C4⋊C4—41no—
621C3×C4⋊C4—41no—
622C3×C4⋊C4—41no—
623C3×C4⋊C4—41no—
624C3×C42—41no—
625C3×C42—41no—
626C3×C42#4114yes—
627(C2×D3)⋊C4—22no—
628(C2×D3)⋊C4—22no—
629(C2×D3)⋊C4—22no—
630(C2×D3)⋊C4—22no—
631(C2×D3)⋊C4—22no—
632(C2×D3)⋊C4—22no—
633(C2×D3)⋊C4—22no—
634(C2×D3)⋊C4—22no—
635(C2×D3)⋊C4—22no—
636(C2×D3)⋊C4—22no—
637(C2×D3)⋊C4—22no—
638(C2×D3)⋊C4—22no—
639(C2×D3)⋊C4—41no—
640(C2×D3)⋊C4—41no—
641(C2×D3)⋊C4—41no—
642(C2×D3)⋊C4—41no—
643(C2×D3)⋊C4—41no—
644(C2×D3)⋊C4—41no—
645(C2×D3)⋊C4—41no—
646(C2×D3)⋊C4—41no—
647(C2×D3)⋊C4—41no—
648(C2×D3)⋊C4—41no—
649(C2×D3)⋊C4—41no—
650(C2×D3)⋊C4—41no—
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—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668(C2×D3)⋊C4—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—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
680Dic3⋊C4—22no—
681Dic3⋊C4—41no—
682Dic3⋊C4—41no—
683Dic3⋊C4—41no—
684Dic3⋊C4—41no—
685Dic3⋊C4—41no—
686C4×Dic3—22no—
687C4×Dic3—22no—
688C4×Dic3—22no—
689C4×Dic3—41no—
690C4×Dic3—41no—
691C4×Dic3—41no—
692C4×Dic3—41no—
693C4×Dic3—41no—
694C4×Dic3—41no—
695C4×Dic3—41no—
696C22×Q8—31no—
697C22×Q8C22×D311yescharacteristic
698C22×D4—31no—
699C22×D4—31no—
700C22×D4—31no—
701C22×D4—31no—
702C22×D4—31no—
703C22×D4—31no—
704C23×C4—31no—
705C23×C4—31no—
706C23×C4—31no—
707C23×C4—31no—
708C23×C4—31no—
709C23×C4—31no—
710#126—64no—
711#126—122no—
712#124—64no—
713#124—122no—
714#123—122no—
715C22⋊Q8—122no—
716#121—122no—
717#121—122no—
718C2×C4⋊C4—31no—
719C2×C4⋊C4—31no—
720C2×C4⋊C4—31no—
721C2×C4⋊C4—31no—
722C2×C4⋊C4—31no—
723C2×C4⋊C4—31no—
724C2×C4⋊C4—31no—
725C2×C4⋊C4—31no—
726C2×C4⋊C4—31no—
727C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
736C2×C4⋊C4C22×D311yescharacteristic
737C2×C4⋊C4C22×D311yescharacteristic
738C2×C4⋊C4C22×D311yescharacteristic
739C2×C4⋊C4C22×D311yescharacteristic
740C2×C4⋊C4C22×D311yescharacteristic
741C2×C4⋊C4C22×D311yescharacteristic
742C2×C4⋊C4C22×D311yescharacteristic
743C2×C4⋊C4C22×D311yescharacteristic
744C2×C4⋊C4C22×D311yescharacteristic
745C2×C4⋊C4C22×D311yescharacteristic
746C2×C4⋊C4C22×D311yescharacteristic
747C2×C4⋊C4C22×D311yescharacteristic
748C2×C22⋊C4—31no—
749C2×C22⋊C4—31no—
750C2×C22⋊C4—31no—
751C2×C22⋊C4—31no—
752C2×C22⋊C4—31no—
753C2×C22⋊C4—31no—
754C2×C22⋊C4—31no—
755C2×C22⋊C4—31no—
756C2×C22⋊C4—31no—
757C2×C22⋊C4—31no—
758C2×C22⋊C4—31no—
759C2×C22⋊C4—31no—
760C2×C22⋊C4—31no—
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×C42—31no—
791C2×C42—31no—
792C2×C42—31no—
793C2×C42—31no—
794C2×C42—31no—
795C2×C42—31no—
796C2×C42—31no—
797C2×C42—31no—
798C2×C42—31no—
799C2×C42—31no—
800C2×C42—64no—
801C2×C42C22×D311yescharacteristic
802C2×C42C22×D311yescharacteristic
803C2×C42C22×D311yescharacteristic
804#95—31no—
805#95—31no—
806#95—31no—
807#95—31no—
808#95—31no—
809#95—31no—
810#95—31no—
811#95—31no—
812#95—31no—
813#95—31no—
814#95—31no—
815#95—31no—
816#95—31no—
817#95—31no—
818#95—31no—
819#95—31no—
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#95C22×D311yescharacteristic
843#95C22×D311yescharacteristic
844#95C22×D311yescharacteristic
845#95C22×D311yescharacteristic
846#95C22×D311yescharacteristic
847#95C22×D311yescharacteristic
848#95C22×D311yescharacteristic
849#95C22×D311yescharacteristic
850#95C22×D311yescharacteristic
851#95C22×D311yescharacteristic
852#95C22×D311yescharacteristic
853#95C22×D311yescharacteristic
854#95C22×D311yescharacteristic
855#95C22×D311yescharacteristic
856#95C22×D311yescharacteristic
857#95C22×D311yescharacteristic
858#95C22×D311yescharacteristic
859#95C22×D311yescharacteristic
860C23×C3C2511yescharacteristic
861C22×D3—21no—
862C22×D3—21no—
863C22×D3—21no—
864C22×D3—21no—
865C22×D3—21no—
866C22×D3—21no—
867C22×D3—21no—
868C22×D3—21no—
869C22×D3—21no—
870C22×D3—21no—
871C22×D3—21no—
872C22×D3—21no—
873C22×D3—21no—
874C22×D3—21no—
875C22×D3—21no—
876C22×D3—21no—
877C22×D3—21no—
878C22×D3—21no—
879C22×D3—21no—
880C22×D3—21no—
881C22×D3—21no—
882C22×D3—21no—
883C22×D3—21no—
884C22×D3—21no—
885C22×D3—21no—
886C22×D3—21no—
887C22×D3—21no—
888C22×D3H(5,𝔽2)12yes—
889C3×Q8—82no—
890C2×C3×C4—21no—
891C2×C3×C4—21no—
892C2×C3×C4—21no—
893C2×C3×C4—21no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—21no—
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×C4C2×#4112yes—
933C2×C3×C4C2×#4112yes—
934C2×C3×C4C2×#4112yes—
935C2×Dic3—21no—
936C2×Dic3—21no—
937C2×Dic3—21no—
938C2×Dic3—21no—
939C2×Dic3—21no—
940C2×Dic3—21no—
941C2×Dic3—21no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
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—
971D12—82no—
972D12—82no—
973D12—82no—
974D12—82no—
975D12—82no—
976D12—82no—
977C4×D3—44no—
978C4×D3—44no—
979C4×D3—44no—
980C4×D3—82no—
981C4×D3—82no—
982C4×D3—82no—
983Dic6—82no—
984C24—31no—
985C24—31no—
986C24—31no—
987C24—31no—
988C2×Q8—41no—
989C2×Q8—41no—
990C2×Q8—41no—
991C2×Q8—62no—
992C2×Q8—121no—
993C2×Q8—121no—
994C2×D4—62no—
995C2×D4—62no—
996C2×D4—62no—
997C2×D4—62no—
998C2×D4—121no—
999C2×D4—121no—
1000C2×D4—121no—
1001C2×D4—121no—
1002C2×D4—121no—
1003C2×D4—121no—
1004C2×D4—121no—
1005C2×D4—121no—
1006C2×D4—121no—
1007C2×D4—121no—
1008C2×D4—121no—
1009C2×D4—121no—
1010C2×D4—121no—
1011C2×D4—121no—
1012C22×C4—31no—
1013C22×C4—31no—
1014C22×C4—31no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—31no—
1019C22×C4—31no—
1020C22×C4—31no—
1021C22×C4—31no—
1022C22×C4—31no—
1023C22×C4—31no—
1024C22×C4—62no—
1025C22×C4—62no—
1026C22×C4—62no—
1027C22×C4—62no—
1028C22×C4—121no—
1029C22×C4—121no—
1030C22×C4—121no—
1031C22×C4—121no—
1032C22×C4—121no—
1033C22×C4—121no—
1034C22×C4—121no—
1035C22×C4—121no—
1036C22×C4—121no—
1037C22×C4—121no—
1038C22×C4—121no—
1039C22×C4—121no—
1040C22×C4—121no—
1041C22×C4—121no—
1042C22×C4C23×D311yescharacteristic
1043C22×C4C23×D311yescharacteristic
1044C22×C4C23×D311yescharacteristic
1045C22×C4C23×D311yescharacteristic
1046C22×C4C23×D311yescharacteristic
1047C22×C4C23×D311yescharacteristic
1048C22×C4C23×D311yescharacteristic
1049C22×C4C23×D311yescharacteristic
1050C22×C4C23×D311yescharacteristic
1051C22×C4C23×D311yescharacteristic
1052C22×C4C23×D311yescharacteristic
1053C22×C4C23×D311yescharacteristic
1054C22×C4C23×D311yescharacteristic
1055C22×C4C23×D311yescharacteristic
1056C22×C4C23×D311yescharacteristic
1057C4⋊C4—41no—
1058C4⋊C4—41no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—41no—
1062C4⋊C4—41no—
1063C4⋊C4—41no—
1064C4⋊C4—41no—
1065C4⋊C4—41no—
1066C4⋊C4—41no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—62no—
1071C4⋊C4—62no—
1072C4⋊C4—62no—
1073C4⋊C4—121no—
1074C4⋊C4—121no—
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—
1087C22⋊C4—62no—
1088C22⋊C4—62no—
1089C22⋊C4—62no—
1090C22⋊C4—62no—
1091C22⋊C4—62no—
1092C22⋊C4—62no—
1093C22⋊C4—62no—
1094C22⋊C4—62no—
1095C22⋊C4—62no—
1096C22⋊C4—62no—
1097C22⋊C4—62no—
1098C22⋊C4—62no—
1099C22⋊C4—121no—
1100C22⋊C4—121no—
1101C22⋊C4—121no—
1102C22⋊C4—121no—
1103C22⋊C4—121no—
1104C22⋊C4—121no—
1105C22⋊C4—121no—
1106C22⋊C4—121no—
1107C22⋊C4—121no—
1108C22⋊C4—121no—
1109C22⋊C4—121no—
1110C22⋊C4—121no—
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—
1129C42—41no—
1130C42—41no—
1131C42—62no—
1132C42—62no—
1133C42—62no—
1134C42—121no—
1135C42—121no—
1136C42—121no—
1137C42—121no—
1138C42—121no—
1139C42—121no—
1140C42—121no—
1141C42#23914yes—
1142C22×C3C22×#4111yescharacteristic
1143C22×C3C2×H(5,𝔽2)11yescharacteristic
1144C22×C3#58511yescharacteristic
1145C22×C3#58511yescharacteristic
1146C22×C3#58511yescharacteristic
1147C22×C3#58511yescharacteristic
1148C22×C3#58511yescharacteristic
1149C2×D3—22no—
1150C2×D3—22no—
1151C2×D3—22no—
1152C2×D3—41no—
1153C2×D3—41no—
1154C2×D3—41no—
1155C2×D3—41no—
1156C2×D3—41no—
1157C2×D3—41no—
1158C2×D3—41no—
1159C2×D3—41no—
1160C2×D3—41no—
1161C2×D3—41no—
1162C2×D3—41no—
1163C2×D3—41no—
1164C2×D3—41no—
1165C2×D3—41no—
1166C2×D3—41no—
1167C2×D3—41no—
1168C2×D3—41no—
1169C2×D3—41no—
1170C2×D3—41no—
1171C2×D3—41no—
1172C2×D3—41no—
1173C2×D3—41no—
1174C2×D3—41no—
1175C2×D3—41no—
1176C2×D3—41no—
1177C3×C4—22no—
1178C3×C4—22no—
1179C3×C4—22no—
1180C3×C4—41no—
1181C3×C4—41no—
1182C3×C4—41no—
1183C3×C4—41no—
1184C3×C4—41no—
1185C3×C4—41no—
1186C3×C4—41no—
1187C3×C4—41no—
1188C3×C4—41no—
1189C3×C4—41no—
1190C3×C4—41no—
1191C3×C4—41no—
1192Dic3—41no—
1193Dic3—41no—
1194Dic3—41no—
1195Dic3—41no—
1196Dic3—41no—
1197Dic3—41no—
1198Dic3—41no—
1199Dic3—41no—
1200Dic3—41no—
1201Dic3—41no—
1202Dic3—41no—
1203Dic3—41no—
1204C23—32no—
1205C23—61no—
1206C23—61no—
1207C23—61no—
1208C23—61no—
1209C23—61no—
1210C23—61no—
1211C23—61no—
1212C23—61no—
1213C23—61no—
1214C23—61no—
1215C23—61no—
1216C23—61no—
1217C23—61no—
1218C23—61no—
1219C23—61no—
1220C23—61no—
1221C23—61no—
1222C23—61no—
1223C23—61no—
1224C23—61no—
1225C23—61no—
1226C23—61no—
1227C23—61no—
1228C23—61no—
1229C23—61no—
1230C23—61no—
1231C23—61no—
1232C23C24×D311yescharacteristic
1233Q8—82no—
1234Q8—242no—
1235D4—242no—
1236D4—242no—
1237D4—242no—
1238D4—242no—
1239D4—242no—
1240D4—242no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
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—61no—
1284C2×C4—61no—
1285C2×C4—61no—
1286C2×C4—61no—
1287C2×C4—61no—
1288C2×C4—61no—
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—124no—
1320C2×C4—124no—
1321C2×C4—124no—
1322C2×C4—242no—
1323C2×C4—242no—
1324C2×C4—242no—
1325C2×C4C2×#23912yes—
1326C2×C4C2×#23912yes—
1327C2×C4C2×#23912yes—
1328C2×C3#345511yescharacteristic
1329C2×C3#349311yescharacteristic
1330C2×C3#349411yescharacteristic
1331C2×C3#354511yescharacteristic
1332C2×C3#356011yescharacteristic
1333C2×C3#356611yescharacteristic
1334C2×C3#356611yescharacteristic
1335D3—42no—
1336D3—81no—
1337D3—81no—
1338D3—81no—
1339C22—62no—
1340C22—62no—
1341C22—62no—
1342C22—121no—
1343C22—121no—
1344C22—121no—
1345C22—121no—
1346C22—121no—
1347C22—121no—
1348C22—121no—
1349C22—121no—
1350C22—121no—
1351C22—121no—
1352C22—121no—
1353C22—121no—
1354C22—121no—
1355C22—121no—
1356C22—121no—
1357C22—121no—
1358C22—121no—
1359C22—121no—
1360C22—121no—
1361C22—121no—
1362C22—121no—
1363C22—121no—
1364C22—121no—
1365C22—121no—
1366C22—121no—
1367C22C22×#23911yescharacteristic
1368C22#596411yescharacteristic
1369C22#596411yescharacteristic
1370C22D3×H(5,𝔽2)11yescharacteristic
1371C22#596611yescharacteristic
1372C22#596811yescharacteristic
1373C22#596811yescharacteristic
1374C4—22no—
1375C4—22no—
1376C4—22no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—121no—
1390C4—121no—
1391C4—121no—
1392C4—121no—
1393C4—121no—
1394C4—121no—
1395C4—121no—
1396C4—121no—
1397C4—121no—
1398C4—121no—
1399C4—121no—
1400C4—121no—
1401C3#3712711yescharacteristic, complemented, Sylow
1402C2—122no—
1403C2—241no—
1404C2—241no—
1405C2—241no—
1406C2#8627311yescharacteristic
1407C2#8642611yescharacteristic
1408C2#8645011yescharacteristic
1409C2#8650611yescharacteristic
1410C2#8656511yescharacteristic
1411C2#8658411yescharacteristic
1412C2#8659711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2666C2
prime radical#78365C2
hypercenter#2666D3
hypocenterC3#37127
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2666

Complements

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

NH ≅ G/Ntype
1. C3×#2666C2semidirect
2. #78392C2semidirect
4. #78289C2semidirect
5. #78256C2semidirect
6. #77979C2semidirect
7. #77973C2semidirect
8. #77902C2semidirect
9. #77901C2semidirect
10. #77881C2semidirect
11. #77878C2semidirect
12. #77878C2semidirect
13. #77849C2semidirect
14. #77269C2semidirect
15. #77267C2semidirect
16. #77264C2semidirect
17. #77232C2semidirect
18. #76539C2semidirect
19. #76532C2semidirect
20. #76070C2semidirect
21. #76056C2semidirect
22. #75119C2semidirect
23. #75089C2semidirect
24. #75055C2semidirect
25. #75055C2semidirect
26. #74317C2semidirect
27. #74262C2semidirect
28. #74256C2semidirect
29. #74155C2semidirect
30. #73816C2semidirect
31. #73752C2semidirect
206. #2666D3semidirect
1401. C3#37127semidirect

Maximal subgroups

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

subgroupindex
C3×#26662
#783922
#783652
#782892
#782562
#779792
#779732
#779022
#779012
#778812
#778782
#778492
#772692
#772672
#772642
#772322
#765392
#765322
#760702
#760562
#751192
#750892
#750552
#743172
#742622
#742562
#741552
#738162
#737522
#371273