Finite Group Databasebeta

← #11025508

Subgroups — #11025508

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5665C211yesmaximal, characteristic, complemented
2C2×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
3C3×#2696C211yesmaximal, characteristic, complemented
4#82897C211yesmaximal, characteristic, complemented
5#82803C211yesmaximal, characteristic, complemented
6#78367C211yesmaximal, characteristic, complemented
7#78141C211yesmaximal, characteristic, complemented
8#77568C211yesmaximal, characteristic, complemented
9#77483C211yesmaximal, characteristic, complemented
10#77112C211yesmaximal, characteristic, complemented
11#76954C211yesmaximal, characteristic, complemented
12#76820C211yesmaximal, characteristic, complemented
13#76814C211yesmaximal, characteristic, complemented
14#76780C211yesmaximal, characteristic, complemented
15#76780C211yesmaximal, characteristic, complemented
16#76756C211yesmaximal, characteristic
17#76681C211yesmaximal, characteristic, complemented
18#76465C211yesmaximal, characteristic, complemented
19#76433C211yesmaximal, characteristic, complemented
20#75598C211yesmaximal, characteristic, complemented
21#75541C211yesmaximal, characteristic, complemented
22#75009C211yesmaximal, characteristic, complemented
23#74951C211yesmaximal, characteristic, complemented
24#74936C211yesmaximal, characteristic, complemented
25#74892C211yesmaximal, characteristic, complemented
26#74830C211yesmaximal, characteristic, complemented
27#74827C211yesmaximal, characteristic, complemented
28#74710C211yesmaximal, characteristic, complemented
29#74659C211yesmaximal, characteristic, complemented
30#74038C211yesmaximal, characteristic, complemented
31#74010C211yesmaximal, characteristic, complemented
32#37721—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic, complemented
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C22×C4⋊Dic3C2211yescharacteristic, complemented
47C2×#924C2211yescharacteristic
48#5665—28no—
49D3×C22⋊Q8—28no—
50C2×#898C2211yescharacteristic
51C2×#897C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×#890C2211yescharacteristic, complemented
58C2×#889C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#400C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#393C2211yescharacteristic, complemented
79C3×#393C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#390C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#387C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#380C2211yescharacteristic, complemented
88#5230C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5221C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic, complemented
99#4990C2211yescharacteristic
100#4989C2211yescharacteristic
101#4987C2211yescharacteristic
102#4985C2211yescharacteristic, complemented
103#4983C2211yescharacteristic, complemented
104#4982C2211yescharacteristic, complemented
105#4981C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4975C2211yescharacteristic, complemented
108Dic3×C4⋊C4C2211yescharacteristic, complemented
109#4972C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4953C2211yescharacteristic, complemented
124#4952C2211yescharacteristic
125#4951C2211yescharacteristic
126#4950C2211yescharacteristic
127#4949C2211yescharacteristic
128#4949C2211yescharacteristic
129#4949C2211yescharacteristic, complemented
130#4948C2211yescharacteristic
131#4948C2211yescharacteristic
132#4948C2211yescharacteristic, complemented
133#4947C2211yescharacteristic, complemented
134#4947C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4946C2211yescharacteristic, complemented
137#4946C2211yescharacteristic, complemented
138#4946C2211yescharacteristic, complemented
139#4945C2211yescharacteristic
140#4945C2211yescharacteristic, complemented
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic, complemented
143#4944C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145Dic3×C22⋊C4C2211yescharacteristic
146#4940C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×C4⋊Dic3C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic
154#4670C2211yescharacteristic
155#4669C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4661C2211yescharacteristic, complemented
171#4661C2211yescharacteristic, complemented
172#4659C2211yescharacteristic, complemented
173#4658C2211yescharacteristic, complemented
174#4657C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4656C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×C22⋊Q8—31no—
192#2849—31no—
193#2732—31no—
194#2728—31no—
195#2720—31no—
196#2696D311yescharacteristic, complemented
197#2689—31no—
198#2687—31no—
199#2681—31no—
200#2680—31no—
201#2663—31no—
202#2638—31no—
203#2560—31no—
204#2556—31no—
205#2481—31no—
206#2480—31no—
207#2473—31no—
208#2473—31no—
209#2463—31no—
210#2449—31no—
211#2443—31no—
212#2424—31no—
213#2418—31no—
214#2418—31no—
215#2409—31no—
216#2409—31no—
217#2361—31no—
218D4×C4⋊C4—31no—
219#2332—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×Q8—24no—
237C2×D3×Q8—42no—
238C2×D3×Q8—42no—
239C22×C4×D3—24no—
240C22×C4×D3—42no—
241C22×C4×D3—42no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×C22⋊Q8—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#946—24no—
290#939—24no—
291#938—24no—
292#937—24no—
293#937—42no—
294D4×Dic3—24no—
295D4×Dic3—42no—
296#929—24no—
297C4×#67—24no—
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×C4⋊Dic3—24no—
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—24no—
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357#898—24no—
358#897D418yescomplemented
359#896—24no—
360#896—24no—
361D3×C4⋊C4—24no—
362D3×C4⋊C4—24no—
363D3×C4⋊C4—24no—
364#890—24no—
365#889—24no—
366#886—24no—
367#883—24no—
368#883—42no—
369#67⋊C4—24no—
370#67⋊C4—42no—
371#67⋊C4—42no—
372#67⋊C4—42no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375#879—24no—
376#878—24no—
377#878—24no—
378#878—24no—
379#878—24no—
380#878—42no—
381#878—42no—
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
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C23×Q8—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic, complemented
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—68no—
444C2×C22⋊Q8C2×D311yescharacteristic
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#400—31no—
465#400C2×D311yescharacteristic, complemented
466#399—31no—
467#399—31no—
468#399—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic, complemented
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#395—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#393—31no—
498#393—31no—
499#393C2×D311yescharacteristic, complemented
500#393C2×D311yescharacteristic, complemented
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390C2×D311yescharacteristic, complemented
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389—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#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#384—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic, complemented
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67#4114yes—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657D3×Q8—416no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—416no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3C2×D414yes—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6C2×D414yes—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4C2×D414yes—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C42—41no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—41no—
724#217—41no—
725#217—41no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4C2×D414yes—
741(C2×D3)⋊C4C2×D414yes—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3C2×D414yes—
753C4⋊Dic3C2×D414yes—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—41no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25—31no—
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—64no—
788C22×Q8—122no—
789C22×Q8—122no—
790C22×Q8C22×D311yescharacteristic
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—64no—
811C23×C4—122no—
812C23×C4—122no—
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815#126—64no—
816#126—64no—
817#125—64no—
818#125—64no—
819#123—24no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—122no—
824C22⋊Q8—24no—
825C22⋊Q8—38no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—122no—
835C22⋊Q8—122no—
836#121—64no—
837#121—64no—
838#120—64no—
839#120—122no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—122no—
844C4×D4—122no—
845C4×D4—122no—
846C4×D4—122no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—64no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—64no—
884C2×C4⋊C4—64no—
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3C2×#4112yes—
1002C23×C32−1+412yes—
1003C23×C3C2511yescharacteristic
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—28no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3C22×D412yes—
1022C22×D3C2×#4112yes—
1023C22×D3H(5,𝔽2)12yes—
1024C22×D32−1+412yes—
1025C3×Q8—44no—
1026C3×D4—44no—
1027C3×D4—44no—
1028C3×D4—82no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—44no—
1063C2×C3×C4—44no—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C22×D412yes—
1066C2×C3×C4C22×D412yes—
1067#67—28no—
1068#67—44no—
1069#67—44no—
1070#67—82no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—44no—
1109C2×Dic3—82no—
1110C2×Dic3—82no—
1111C2×Dic3—82no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C2×#4112yes—
1116C2×Dic3H(5,𝔽2)12yes—
1117C4×D3—28no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—44no—
1128C24—31no—
1129C24—31no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—121no—
1136C24—121no—
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C2×Q8—22no—
1141C2×Q8—34no—
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—1216no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—34no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—34no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—1216no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—34no—
1247C4⋊C4—34no—
1248C4⋊C4—41no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4D3×D414yes—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—34no—
1289C22⋊C4—34no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C42—41no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
1330C42—121no—
1331C42—121no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3C23×D411yescharacteristic
1356C22×C3C22×#4111yescharacteristic
1357C22×C3C2×H(5,𝔽2)11yescharacteristic
1358C22×C3C2×H(5,𝔽2)11yescharacteristic
1359C22×C3C2×2−1+411yescharacteristic
1360C22×C3C2×2−1+411yescharacteristic
1361C22×C3#58511yescharacteristic
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—416no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3#53914yescomplemented
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—32no—
1423C23—32no—
1424C23—32no—
1425C23—32no—
1426C23—68no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—124no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23D3×#4112yes—
1444C23#101012yes—
1445C23C24×D311yescharacteristic
1446Q8—44no—
1447Q8—124no—
1448Q8—124no—
1449Q8—124no—
1450D4—44no—
1451D4—44no—
1452D4—68no—
1453D4—82no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—32no—
1491C2×C4—32no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—32no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—68no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C3—42no—
1550C2×C3—42no—
1551C2×C3—81no—
1552C2×C3C2×#53911yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#348411yescharacteristic
1555C2×C3#348611yescharacteristic
1556C2×C3#352011yescharacteristic
1557C2×C3#353511yescharacteristic
1558C2×C3#354111yescharacteristic
1559D3—24no—
1560D3—42no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—34no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—62no—
1589C22—62no—
1590C22—62no—
1591C22—62no—
1592C22—1216no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22C22×D3×D411yescharacteristic
1598C22C2×D3×#4111yescharacteristic
1599C22C2×#101011yescharacteristic
1600C22D3×H(5,𝔽2)11yescharacteristic
1601C22D3×H(5,𝔽2)11yescharacteristic
1602C22#596611yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—62no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3772111yescharacteristic, complemented, Sylow
1631C2—42no—
1632C2—42no—
1633C2—64no—
1634C2—81no—
1635C2—122no—
1636C2#8633011yescharacteristic
1637C2#8642211yescharacteristic
1638C2D3×#53911yescharacteristic
1639C2#8662611yescharacteristic
1640C2#8673511yescharacteristic
1641C2#8679811yescharacteristic
1642C2#8709611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2696C2
prime radical#76756C2
hypercenter#2696D3
hypocenterC3#37721
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#5665C2semidirect
2. C2×D3×C22⋊Q8C2semidirect
3. C3×#2696C2semidirect
4. #82897C2semidirect
5. #82803C2semidirect
6. #78367C2semidirect
7. #78141C2semidirect
8. #77568C2semidirect
9. #77483C2semidirect
10. #77112C2semidirect
11. #76954C2semidirect
12. #76820C2semidirect
13. #76814C2semidirect
14. #76780C2semidirect
15. #76780C2semidirect
17. #76681C2semidirect
18. #76465C2semidirect
19. #76433C2semidirect
20. #75598C2semidirect
21. #75541C2semidirect
22. #75009C2semidirect
23. #74951C2semidirect
24. #74936C2semidirect
25. #74892C2semidirect
26. #74830C2semidirect
27. #74827C2semidirect
28. #74710C2semidirect
29. #74659C2semidirect
30. #74038C2semidirect
31. #74010C2semidirect
35. C2×C3×#123C22semidirect
43. C2×D4×Dic3C22semidirect
46. C22×C4⋊Dic3C22semidirect
57. C2×#890C22semidirect
58. C2×#889C22semidirect
68. C2×#879C22semidirect
71. C2×#878C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C3×#400C22semidirect
76. C3×#397C22semidirect
78. C3×#393C22semidirect
79. C3×#393C22semidirect
81. C3×#390C22semidirect
83. C3×#387C22semidirect
87. C3×#380C22semidirect
88. #5230C22semidirect
89. #5230C22semidirect
91. #5222C22semidirect
98. #5210C22semidirect
102. #4985C22semidirect
103. #4983C22semidirect
104. #4982C22semidirect
105. #4981C22semidirect
106. #4980C22semidirect
107. #4975C22semidirect
108. Dic3×C4⋊C4C22semidirect
109. #4972C22semidirect
123. #4953C22semidirect
129. #4949C22semidirect
132. #4948C22semidirect
133. #4947C22semidirect
134. #4947C22semidirect
135. #4946C22semidirect
136. #4946C22semidirect
137. #4946C22semidirect
138. #4946C22semidirect
140. #4945C22semidirect
142. #4944C22semidirect
143. #4944C22semidirect
144. #4944C22semidirect
148. C4×C4⋊Dic3C22semidirect
149. #4928C22semidirect
170. #4661C22semidirect
171. #4661C22semidirect
172. #4659C22semidirect
173. #4658C22semidirect
174. #4657C22semidirect
175. #4657C22semidirect
176. #4656C22semidirect
177. #4656C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4654C22semidirect
181. #4653C22semidirect
182. #4653C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
196. #2696D3semidirect
358. #897D4semidirect
431. C2×#123C2×D3semidirect
465. #400C2×D3semidirect
482. #397C2×D3semidirect
499. #393C2×D3semidirect
500. #393C2×D3semidirect
507. #390C2×D3semidirect
531. #387C2×D3semidirect
568. #380C2×D3semidirect
1376. C2×D3#539semidirect
1630. C3#37721semidirect

Maximal subgroups

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

subgroupindex
C2×#56652
C2×D3×C22⋊Q82
C3×#26962
#828972
#828032
#783672
#781412
#775682
#774832
#771122
#769542
#768202
#768142
#767802
#767562
#766812
#764652
#764332
#755982
#755412
#750092
#749512
#749362
#748922
#748302
#748272
#747102
#746592
#740382
#740102
#377213