Finite Group Databasebeta

← #11070016

Subgroups — #11070016

Order 768.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5696C211yesmaximal, characteristic, complemented
2C2×#5518C211yesmaximal, characteristic, complemented
3C3×#2475C211yesmaximal, characteristic, complemented
4#83034C211yesmaximal, characteristic, complemented
5#82241C211yesmaximal, characteristic
6#78368C211yesmaximal, characteristic, complemented
7#78153C211yesmaximal, characteristic, complemented
8#77980C211yesmaximal, characteristic, complemented
9#77787C211yesmaximal, characteristic, complemented
10#77588C211yesmaximal, characteristic, complemented
11#77493C211yesmaximal, characteristic
12#77365C211yesmaximal, characteristic, complemented
13#77306C211yesmaximal, characteristic
14#76122C211yesmaximal, characteristic, complemented
15#76064C211yesmaximal, characteristic, complemented
16#75820C211yesmaximal, characteristic
17#75653C211yesmaximal, characteristic, complemented
18#75552C211yesmaximal, characteristic
19#75522C211yesmaximal, characteristic, complemented
20#75378C211yesmaximal, characteristic, complemented
21#75164C211yesmaximal, characteristic, complemented
22#75026C211yesmaximal, characteristic, complemented
23#75012C211yesmaximal, characteristic, complemented
24#74967C211yesmaximal, characteristic, complemented
25#74943C211yesmaximal, characteristic, complemented
26#74523C211yesmaximal, characteristic, complemented
27#74514C211yesmaximal, characteristic, complemented
28#74425C211yesmaximal, characteristic
29#74425C211yesmaximal, characteristic
30#73679C211yesmaximal, characteristic, complemented
31C4×#888C211yesmaximal, characteristic, complemented
32#39399—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C2×#924C2211yescharacteristic
37C2×#924C2211yescharacteristic
38#5696—28no—
39#5518—28no—
40C2×#898C2211yescharacteristic
41C2×#898C2211yescharacteristic
42C2×#898C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#892C2211yescharacteristic
46C2×#890C2211yescharacteristic
47C2×#889C2211yescharacteristic
48C2×#889C2211yescharacteristic
49C2×#889C2211yescharacteristic
50C2×#889C2211yescharacteristic
51C2×#889C2211yescharacteristic
52C2×#889C2211yescharacteristic
53C2×#888C2211yescharacteristic
54C2×#888C2211yescharacteristic
55C2×#888C2211yescharacteristic
56C2×#887C2211yescharacteristic
57C2×#879C2211yescharacteristic
58C2×#879C2211yescharacteristic
59C2×#879C2211yescharacteristic
60C2×#879C2211yescharacteristic
61C2×#876C2211yescharacteristic
62C2×#870C2211yescharacteristic
63C2×#869C2211yescharacteristic
64C2×C4×Dic6C2211yescharacteristic
65C2×C4×Dic6C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic
67C3×#400C2211yescharacteristic
68C3×#398C2211yescharacteristic
69C3×#397C2211yescharacteristic
70C3×#396C2211yescharacteristic
71C3×#389C2211yescharacteristic
72C3×#388C2211yescharacteristic
73C3×#388C2211yescharacteristic
74C3×#387C2211yescharacteristic
75C3×#387C2211yescharacteristic
76C3×#387C2211yescharacteristic
77C3×#385C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×C4×C4⋊C4C2211yescharacteristic
80#5212C2211yescharacteristic
81#4994C2211yescharacteristic
82#4994C2211yescharacteristic
83#4994C2211yescharacteristic
84#4994C2211yescharacteristic
85#4990C2211yescharacteristic
86#4987C2211yescharacteristic
87#4986C2211yescharacteristic
88#4985C2211yescharacteristic
89#4984C2211yescharacteristic
90#4984C2211yescharacteristic
91#4983C2211yescharacteristic
92#4982C2211yescharacteristic
93#4982C2211yescharacteristic
94#4982C2211yescharacteristic
95#4980C2211yescharacteristic
96#4979C2211yescharacteristic
97#4979C2211yescharacteristic
98#4978C2211yescharacteristic
99#4976C2211yescharacteristic
100#4976C2211yescharacteristic
101#4976C2211yescharacteristic
102#4976C2211yescharacteristic
103#4976C2211yescharacteristic
104#4976C2211yescharacteristic
105#4975C2211yescharacteristic
106#4975C2211yescharacteristic
107#4975C2211yescharacteristic
108#4975C2211yescharacteristic
109Dic3×C4⋊C4C2211yescharacteristic
110Dic3×C4⋊C4C2211yescharacteristic
111#4972C2211yescharacteristic
112#4957C2211yescharacteristic
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4952C2211yescharacteristic
119#4952C2211yescharacteristic
120#4951C2211yescharacteristic
121#4951C2211yescharacteristic
122#4948C2211yescharacteristic
123#4948C2211yescharacteristic
124#4948C2211yescharacteristic
125#4948C2211yescharacteristic
126#4947C2211yescharacteristic
127#4947C2211yescharacteristic
128#4945C2211yescharacteristic
129#4944C2211yescharacteristic
130#4944C2211yescharacteristic
131#4944C2211yescharacteristic
132#4940C2211yescharacteristic
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic
135C4×C4⋊Dic3C2211yescharacteristic
136#4933C2211yescharacteristic
137#4933C2211yescharacteristic
138C4×Dic3⋊C4C2211yescharacteristic
139C4×Dic3⋊C4C2211yescharacteristic
140C4×Dic3⋊C4C2211yescharacteristic
141C42×Dic3C2211yescharacteristic
142#4676C2211yescharacteristic
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4674C2211yescharacteristic
146#4673C2211yescharacteristic
147#4673C2211yescharacteristic
148#4670C2211yescharacteristic
149#4670C2211yescharacteristic
150#4669C2211yescharacteristic
151#4669C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4661C2211yescharacteristic
155#4661C2211yescharacteristic
156#4660C2211yescharacteristic
157#4659C2211yescharacteristic
158#4658C2211yescharacteristic
159#4657C2211yescharacteristic
160#4657C2211yescharacteristic
161#4657C2211yescharacteristic
162#4656C2211yescharacteristic
163#4656C2211yescharacteristic
164#4655C2211yescharacteristic
165#4655C2211yescharacteristic
166#4654C2211yescharacteristic
167#4654C2211yescharacteristic
168#4653C2211yescharacteristic
169#4653C2211yescharacteristic
170#4652C2211yescharacteristic
171#4650C2211yescharacteristic
172#4649C2211yescharacteristic
173#4649C2211yescharacteristic
174#4649C2211yescharacteristic
175#4649C2211yescharacteristic
176#4649C2211yescharacteristic
177#4649C2211yescharacteristic
178#4647C2211yescharacteristic
179#4647C2211yescharacteristic
180#4647C2211yescharacteristic
181#4647C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#541—31no—
191C2×#541—31no—
192#2860—31no—
193#2725—31no—
194#2725—31no—
195#2716—31no—
196#2716—31no—
197#2704—31no—
198#2704—31no—
199#2690—31no—
200#2690—31no—
201#2637—31no—
202#2637—31no—
203#2552—31no—
204#2551—31no—
205#2512—31no—
206#2512—31no—
207#2512—31no—
208#2506—31no—
209#2506—31no—
210#2506—31no—
211#2475—31no—
212#2475D311yescharacteristic, complemented
213#2469—31no—
214#2469—31no—
215#2452—31no—
216#2452—31no—
217#2365—31no—
218#2354—31no—
219C4×C4⋊Q8—31no—
220C4×#125—31no—
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×C4×D3C2311yescharacteristic
224C22×Dic6C2311yescharacteristic
225C22×Dic6C2311yescharacteristic
226C22×Dic6C2311yescharacteristic
227C22×Dic6C2311yescharacteristic
228C3×#125—24no—
229C3×#117—24no—
230C2×C3×C4⋊C4C2311yescharacteristic
231C2×C3×C4⋊C4C2311yescharacteristic
232C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C42C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×#217C2311yescharacteristic
253C2×#217C2311yescharacteristic
254C2×#217C2311yescharacteristic
255C2×#217C2311yescharacteristic
256C2×#217C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
274C2×C4⋊Dic3C2311yescharacteristic
275C2×C4⋊Dic3C2311yescharacteristic
276C2×C4⋊Dic3C2311yescharacteristic
277C2×C4⋊Dic3C2311yescharacteristic
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×C4⋊Dic3C2311yescharacteristic
285C2×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287#924—24no—
288#924—24no—
289C2×Dic3⋊C4C2311yescharacteristic
290C2×Dic3⋊C4C2311yescharacteristic
291C2×Dic3⋊C4C2311yescharacteristic
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
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×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×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
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
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339#898—24no—
340#898—24no—
341#898—24no—
342#896—24no—
343#896—24no—
344#892—24no—
345#890—24no—
346#889—24no—
347#889—24no—
348#889—24no—
349#889—24no—
350#889—24no—
351#889D418yescomplemented
352#888—24no—
353#888—24no—
354#888—24no—
355#887—24no—
356#879—24no—
357#879—24no—
358#879—24no—
359#879—24no—
360#876—24no—
361#870—24no—
362#869—24no—
363C4×Dic6—24no—
364C4×Dic6—24no—
365C4×Dic6—24no—
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
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408#541—68no—
409#541—68no—
410C2×C4⋊Q8—31no—
411C2×C4⋊Q8—31no—
412C2×C4⋊Q8—31no—
413C2×C4⋊Q8—31no—
414C2×#126—31no—
415C2×#126—31no—
416C2×#126—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#125—31no—
428C2×#125—31no—
429C2×#125—31no—
430C2×#125C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C4×Q8—31no—
436C2×C4×Q8—31no—
437C2×C4×Q8—31no—
438C2×C4×Q8—31no—
439C2×C4×D4—31no—
440C2×#117—31no—
441C2×#117C2×D311yescharacteristic
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400—31no—
447#400C2×D311yescharacteristic
448#398—31no—
449#398—31no—
450#398—31no—
451#398—31no—
452#398—31no—
453#398—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398C2×D311yescharacteristic
458#397—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397C2×D311yescharacteristic
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396C2×D311yescharacteristic
474#395—31no—
475#395—31no—
476#395—31no—
477#395—31no—
478#393—31no—
479#393—31no—
480#393—31no—
481#393—31no—
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#390—31no—
487#390—31no—
488#390—31no—
489#390—31no—
490#390—31no—
491#390—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389C2×D311yescharacteristic
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic
538#387C2×D311yescharacteristic
539#387C2×D311yescharacteristic
540#385—31no—
541#385—31no—
542#385C2×D311yescharacteristic
543#385C2×D311yescharacteristic
544#384—31no—
545#384—31no—
546#384—31no—
547#384—31no—
548#382—31no—
549#380—31no—
550#380—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C4⋊C4—31no—
559C4×C4⋊C4—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic
564C43—31no—
565C24×C3C2411yescharacteristic
566C23×D3C2411yescharacteristic
567C22×C3×C4—22no—
568C22×C3×C4—22no—
569C22×C3×C4—41no—
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C2×#67—22no—
585C2×#67—22no—
586C2×#67—22no—
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C2×C4×D3—22no—
603C2×C4×D3—22no—
604C2×C4×D3—41no—
605C2×Dic6—22no—
606C2×Dic6—22no—
607C2×Dic6—22no—
608C2×Dic6—22no—
609C2×Dic6—22no—
610C2×Dic6—22no—
611C2×Dic6—22no—
612C2×Dic6—22no—
613C2×Dic6—41no—
614C2×Dic6—41no—
615C2×Dic6—41no—
616C2×Dic6—41no—
617C3×C4⋊C4—22no—
618C3×C4⋊C4—22no—
619C3×C4⋊C4—22no—
620C3×C4⋊C4—22no—
621C3×C4⋊C4—22no—
622C3×C4⋊C4—22no—
623C3×C4⋊C4—22no—
624C3×C4⋊C4—22no—
625C3×C4⋊C4—22no—
626C3×C4⋊C4—41no—
627C3×C4⋊C4—41no—
628C3×C4⋊C4C2×D414yes—
629C3×C22⋊C4—22no—
630C3×C22⋊C4—22no—
631C3×C22⋊C4—22no—
632C3×C22⋊C4—41no—
633C3×C22⋊C4—41no—
634C3×C22⋊C4—41no—
635C3×C42—22no—
636C3×C42—22no—
637C3×C42—22no—
638C3×C42—22no—
639#217—22no—
640#217—22no—
641#217—22no—
642#217—22no—
643#217—22no—
644#217—41no—
645#217—41no—
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—22no—
652(C2×D3)⋊C4—22no—
653(C2×D3)⋊C4—22no—
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—
659C4⋊Dic3—22no—
660C4⋊Dic3—22no—
661C4⋊Dic3—22no—
662C4⋊Dic3—22no—
663C4⋊Dic3—22no—
664C4⋊Dic3—22no—
665C4⋊Dic3—22no—
666C4⋊Dic3—22no—
667C4⋊Dic3—22no—
668C4⋊Dic3—22no—
669C4⋊Dic3—41no—
670C4⋊Dic3—41no—
671C4⋊Dic3—41no—
672C4⋊Dic3C2×D414yes—
673Dic3⋊C4—22no—
674Dic3⋊C4—22no—
675Dic3⋊C4—22no—
676Dic3⋊C4—22no—
677Dic3⋊C4—22no—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
680Dic3⋊C4—22no—
681Dic3⋊C4—22no—
682Dic3⋊C4—22no—
683Dic3⋊C4—22no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
688Dic3⋊C4—22no—
689Dic3⋊C4—22no—
690Dic3⋊C4—22no—
691Dic3⋊C4—22no—
692Dic3⋊C4—22no—
693Dic3⋊C4—22no—
694Dic3⋊C4—41no—
695Dic3⋊C4—41no—
696Dic3⋊C4—41no—
697Dic3⋊C4—41no—
698Dic3⋊C4—41no—
699Dic3⋊C4—41no—
700Dic3⋊C4—41no—
701Dic3⋊C4C2×D414yes—
702Dic3⋊C4C2×D414yes—
703Dic3⋊C4C2×D414yes—
704Dic3⋊C4C2×D414yes—
705Dic3⋊C4#4114yes—
706C4×Dic3—22no—
707C4×Dic3—22no—
708C4×Dic3—22no—
709C4×Dic3—22no—
710C4×Dic3—22no—
711C4×Dic3—22no—
712C4×Dic3—22no—
713C4×Dic3—22no—
714C4×Dic3—22no—
715C4×Dic3—22no—
716C4×Dic3—22no—
717C4×Dic3—22no—
718C4×Dic3—22no—
719C4×Dic3—22no—
720C4×Dic3—41no—
721C4×Dic3—41no—
722C4×Dic3C2×D414yes—
723C22×Q8—31no—
724C22×Q8—31no—
725C22×Q8—31no—
726C22×Q8—31no—
727C22×D4—31no—
728C23×C4—31no—
729C23×C4C22×D311yescharacteristic
730C4⋊Q8—64no—
731C4⋊Q8—64no—
732C4⋊Q8—64no—
733C4⋊Q8—64no—
734#126—64no—
735#126—64no—
736#126—64no—
737#126—64no—
738#126—64no—
739#126—64no—
740#126—64no—
741#126—64no—
742#125—24no—
743#125—38no—
744#125—64no—
745#125—64no—
746#125—64no—
747#125—64no—
748#125—64no—
749#125—64no—
750#125—64no—
751C22⋊Q8—64no—
752C22⋊Q8—64no—
753C22⋊Q8—64no—
754C22⋊Q8—64no—
755C4×Q8—64no—
756C4×Q8—64no—
757C4×Q8—64no—
758C4×Q8—64no—
759C4×D4—64no—
760#117—24no—
761#117—64no—
762C2×C4⋊C4—31no—
763C2×C4⋊C4—31no—
764C2×C4⋊C4—31no—
765C2×C4⋊C4—31no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—31no—
770C2×C4⋊C4—31no—
771C2×C4⋊C4—31no—
772C2×C4⋊C4—31no—
773C2×C4⋊C4—31no—
774C2×C4⋊C4—31no—
775C2×C4⋊C4—31no—
776C2×C4⋊C4—31no—
777C2×C4⋊C4—31no—
778C2×C4⋊C4—31no—
779C2×C4⋊C4—31no—
780C2×C4⋊C4—31no—
781C2×C4⋊C4—31no—
782C2×C4⋊C4—31no—
783C2×C4⋊C4—31no—
784C2×C4⋊C4—31no—
785C2×C4⋊C4—31no—
786C2×C4⋊C4—31no—
787C2×C4⋊C4—31no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4C22×D311yescharacteristic
810C2×C4⋊C4C22×D311yescharacteristic
811C2×C4⋊C4C22×D311yescharacteristic
812C2×C4⋊C4C22×D311yescharacteristic
813C2×C4⋊C4C22×D311yescharacteristic
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4C22×D311yescharacteristic
842C2×C22⋊C4C22×D311yescharacteristic
843C2×C22⋊C4C22×D311yescharacteristic
844C2×C22⋊C4C22×D311yescharacteristic
845C2×C22⋊C4C22×D311yescharacteristic
846C2×C22⋊C4C22×D311yescharacteristic
847C2×C42—31no—
848C2×C42—31no—
849C2×C42—31no—
850C2×C42—31no—
851C2×C42—31no—
852C2×C42—31no—
853C2×C42—31no—
854C2×C42—31no—
855C2×C42—31no—
856C2×C42—31no—
857C2×C42—31no—
858C2×C42—31no—
859C2×C42—31no—
860C2×C42—31no—
861C2×C42—31no—
862C2×C42—31no—
863C2×C42—31no—
864C2×C42C22×D311yescharacteristic
865C2×C42C22×D311yescharacteristic
866C2×C42C22×D311yescharacteristic
867C2×C42C22×D311yescharacteristic
868#95—31no—
869#95—31no—
870#95—31no—
871#95—31no—
872#95—31no—
873#95—31no—
874#95—31no—
875#95—31no—
876#95—31no—
877#95—31no—
878#95—31no—
879#95—31no—
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95C22×D311yescharacteristic
899#95C22×D311yescharacteristic
900#95C22×D311yescharacteristic
901#95C22×D311yescharacteristic
902#95C22×D311yescharacteristic
903#95C22×D311yescharacteristic
904#95C22×D311yescharacteristic
905#95C22×D311yescharacteristic
906#95C22×D311yescharacteristic
907#95C22×D311yescharacteristic
908#95C22×D311yescharacteristic
909#95C22×D311yescharacteristic
910C23×C3—21no—
911C23×C3—21no—
912C23×C3—21no—
913C23×C3—21no—
914C23×C3—21no—
915C23×C3—21no—
916C23×C3—21no—
917C23×C3C2511yescharacteristic
918C22×D3—21no—
919C22×D3—21no—
920C22×D3—21no—
921C22×D3—21no—
922C22×D3—21no—
923C22×D3—21no—
924C22×D3—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—21no—
934C2×C3×C4—21no—
935C2×C3×C4—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—21no—
950C2×C3×C4—21no—
951C2×C3×C4—21no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—44no—
963C2×C3×C4C22×D412yes—
964C2×C3×C4C22×D412yes—
965C2×C3×C4C22×D412yes—
966C2×C3×C4C2×#4112yes—
967C2×C3×C42−1+412yes—
968#67—44no—
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—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3—21no—
1000C2×Dic3—21no—
1001C2×Dic3—21no—
1002C2×Dic3—21no—
1003C2×Dic3—21no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3C22×D412yes—
1007C2×Dic3C22×D412yes—
1008C2×Dic3C22×D412yes—
1009C2×Dic3C22×D412yes—
1010C2×Dic3C2×#4112yes—
1011C2×Dic3C2×#4112yes—
1012C2×Dic32−1+412yes—
1013C2×Dic32−1+412yes—
1014C4×D3—44no—
1015Dic6—44no—
1016Dic6—44no—
1017Dic6—44no—
1018Dic6—44no—
1019C24—31no—
1020C24C23×D311yescharacteristic
1021C2×Q8—62no—
1022C2×Q8—62no—
1023C2×Q8—62no—
1024C2×Q8—62no—
1025C2×Q8—62no—
1026C2×Q8—62no—
1027C2×Q8—62no—
1028C2×Q8—62no—
1029C2×Q8—121no—
1030C2×Q8—121no—
1031C2×Q8—121no—
1032C2×Q8—121no—
1033C2×D4—62no—
1034C2×D4—62no—
1035C2×D4—62no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—31no—
1045C22×C4—31no—
1046C22×C4—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—31no—
1051C22×C4—31no—
1052C22×C4—31no—
1053C22×C4—41no—
1054C22×C4—62no—
1055C22×C4—62no—
1056C22×C4—121no—
1057C22×C4C23×D311yescharacteristic
1058C22×C4C23×D311yescharacteristic
1059C22×C4C23×D311yescharacteristic
1060C22×C4C23×D311yescharacteristic
1061C22×C4C23×D311yescharacteristic
1062C22×C4C23×D311yescharacteristic
1063C22×C4C23×D311yescharacteristic
1064C22×C4C23×D311yescharacteristic
1065C22×C4C23×D311yescharacteristic
1066C22×C4C23×D311yescharacteristic
1067C22×C4C23×D311yescharacteristic
1068C22×C4C23×D311yescharacteristic
1069C22×C4C23×D311yescharacteristic
1070C22×C4C23×D311yescharacteristic
1071C4⋊C4—22no—
1072C4⋊C4—22no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—34no—
1081C4⋊C4—34no—
1082C4⋊C4—34no—
1083C4⋊C4—34no—
1084C4⋊C4—34no—
1085C4⋊C4—34no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—62no—
1089C4⋊C4—62no—
1090C4⋊C4—62no—
1091C4⋊C4—62no—
1092C4⋊C4—62no—
1093C4⋊C4—62no—
1094C4⋊C4—62no—
1095C4⋊C4—62no—
1096C4⋊C4—62no—
1097C4⋊C4—62no—
1098C4⋊C4—62no—
1099C4⋊C4—62no—
1100C4⋊C4—62no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—62no—
1107C4⋊C4—62no—
1108C4⋊C4—62no—
1109C4⋊C4—62no—
1110C4⋊C4—62no—
1111C4⋊C4—62no—
1112C4⋊C4—62no—
1113C4⋊C4—62no—
1114C4⋊C4—62no—
1115C4⋊C4—62no—
1116C4⋊C4—62no—
1117C4⋊C4—62no—
1118C4⋊C4—62no—
1119C4⋊C4—121no—
1120C4⋊C4—121no—
1121C4⋊C4—121no—
1122C4⋊C4—121no—
1123C4⋊C4—121no—
1124C4⋊C4—121no—
1125C4⋊C4—121no—
1126C4⋊C4—121no—
1127C4⋊C4—121no—
1128C4⋊C4—121no—
1129C4⋊C4D3×D414yes—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—62no—
1137C22⋊C4—62no—
1138C22⋊C4—62no—
1139C22⋊C4—62no—
1140C22⋊C4—62no—
1141C22⋊C4—62no—
1142C22⋊C4—62no—
1143C22⋊C4—62no—
1144C22⋊C4—62no—
1145C22⋊C4—62no—
1146C22⋊C4—62no—
1147C22⋊C4—62no—
1148C22⋊C4—62no—
1149C22⋊C4—121no—
1150C22⋊C4—121no—
1151C22⋊C4—121no—
1152C22⋊C4—121no—
1153C22⋊C4—121no—
1154C22⋊C4—121no—
1155C22⋊C4—121no—
1156C42—22no—
1157C42—22no—
1158C42—22no—
1159C42—22no—
1160C42—34no—
1161C42—62no—
1162C42—62no—
1163C42—62no—
1164C42—62no—
1165C42—62no—
1166C42—62no—
1167C42—62no—
1168C42—62no—
1169C42—62no—
1170C42—62no—
1171C42—62no—
1172C42—62no—
1173C42—62no—
1174C42—62no—
1175C42—121no—
1176C42—121no—
1177C22×C3—41no—
1178C22×C3—41no—
1179C22×C3—41no—
1180C22×C3—41no—
1181C22×C3—41no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3C23×D411yescharacteristic
1185C22×C3C22×#4111yescharacteristic
1186C22×C3C2×2−1+411yescharacteristic
1187C22×C3C2×2−1+411yescharacteristic
1188C22×C3C2×2−1+411yescharacteristic
1189C22×C3#58511yescharacteristic
1190C22×C3#58511yescharacteristic
1191C2×D3—41no—
1192C2×D3—41no—
1193C2×D3—41no—
1194C2×D3—41no—
1195C2×D3—41no—
1196C2×D3—41no—
1197C2×D3—41no—
1198C3×C4—22no—
1199C3×C4—22no—
1200C3×C4—22no—
1201C3×C4—22no—
1202C3×C4—22no—
1203C3×C4—41no—
1204C3×C4—41no—
1205C3×C4—41no—
1206C3×C4—41no—
1207C3×C4—41no—
1208C3×C4—41no—
1209C3×C4—41no—
1210C3×C4—41no—
1211C3×C4—41no—
1212Dic3—22no—
1213Dic3—22no—
1214Dic3—22no—
1215Dic3—22no—
1216Dic3—22no—
1217Dic3—41no—
1218Dic3—41no—
1219Dic3—41no—
1220Dic3—41no—
1221Dic3—41no—
1222Dic3—41no—
1223Dic3—41no—
1224Dic3—41no—
1225Dic3—41no—
1226Dic3#54114yescomplemented
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—61no—
1235C23—61no—
1236C23—61no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23C24×D311yescharacteristic
1242Q8—124no—
1243Q8—124no—
1244Q8—124no—
1245Q8—124no—
1246D4—124no—
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—21no—
1284C2×C4—32no—
1285C2×C4—32no—
1286C2×C4—32no—
1287C2×C4—32no—
1288C2×C4—32no—
1289C2×C4—32no—
1290C2×C4—32no—
1291C2×C4—32no—
1292C2×C4—44no—
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—124no—
1331C2×C4C2×D3×D412yes—
1332C2×C4C2×D3×D412yes—
1333C2×C4C2×D3×D412yes—
1334C2×C4D3×#4112yes—
1335C2×C4#101012yes—
1336C2×C3—81no—
1337C2×C3C2×#54111yescharacteristic
1338C2×C3D4×#4111yescharacteristic
1339C2×C3#349711yescharacteristic
1340C2×C3#349911yescharacteristic
1341C2×C3#351611yescharacteristic
1342C2×C3#355511yescharacteristic
1343C2×C3#356511yescharacteristic
1344D3—81no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—121no—
1353C22—121no—
1354C22—121no—
1355C22—121no—
1356C22—121no—
1357C22—121no—
1358C22—121no—
1359C22C22×D3×D411yescharacteristic
1360C22C2×D3×#4111yescharacteristic
1361C22C2×#101011yescharacteristic
1362C22#596411yescharacteristic
1363C22#596411yescharacteristic
1364C22D3×2−1+411yescharacteristic
1365C22D3×2−1+411yescharacteristic
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—34no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—62no—
1382C4—62no—
1383C4—62no—
1384C4—62no—
1385C4—62no—
1386C4—121no—
1387C4—121no—
1388C4—121no—
1389C4—121no—
1390C4—121no—
1391C4—121no—
1392C4—121no—
1393C4—121no—
1394C4—121no—
1395C3#3939911yescharacteristic, complemented, Sylow
1396C2—81no—
1397C2—241no—
1398C2#8603711yescharacteristic
1399C2#8612411yescharacteristic
1400C2D3×#54111yescharacteristic
1401C2#8667911yescharacteristic
1402C2#8673711yescharacteristic
1403C2#8684911yescharacteristic
1404C2#8685611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2475C2
prime radicalC22×#67C23
hypercenter#2475D3
hypocenterC3#39399
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2475

Complements

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

NH ≅ G/Ntype
1. C2×#5696C2semidirect
2. C2×#5518C2semidirect
3. C3×#2475C2semidirect
4. #83034C2semidirect
6. #78368C2semidirect
7. #78153C2semidirect
8. #77980C2semidirect
9. #77787C2semidirect
10. #77588C2semidirect
12. #77365C2semidirect
14. #76122C2semidirect
15. #76064C2semidirect
17. #75653C2semidirect
19. #75522C2semidirect
20. #75378C2semidirect
21. #75164C2semidirect
22. #75026C2semidirect
23. #75012C2semidirect
24. #74967C2semidirect
25. #74943C2semidirect
26. #74523C2semidirect
27. #74514C2semidirect
30. #73679C2semidirect
31. C4×#888C2semidirect
212. #2475D3semidirect
351. #889D4semidirect
1226. Dic3#541semidirect
1395. C3#39399semidirect

Maximal subgroups

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

subgroupindex
C2×#56962
C2×#55182
C3×#24752
#830342
#822412
#783682
#781532
#779802
#777872
#775882
#774932
#773652
#773062
#761222
#760642
#758202
#756532
#755522
#755222
#753782
#751642
#750262
#750122
#749672
#749432
#745232
#745142
#744252
#736792
C4×#8882
#393993