Finite Group Databasebeta

← #11024864

Subgroups — #11024864

Order 768.

2900 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#938C211yesmaximal, characteristic
2C2×#5660C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82910C211yesmaximal, characteristic, complemented
6#82897C211yesmaximal, characteristic, complemented
7#82872C211yesmaximal, characteristic, complemented
8C22⋊C4×#67C211yesmaximal, characteristic, complemented
9#82110C211yesmaximal, characteristic, complemented
10#77126C211yesmaximal, characteristic, complemented
11#77124C211yesmaximal, characteristic, complemented
12#77117C211yesmaximal, characteristic, complemented
13#77115C211yesmaximal, characteristic, complemented
14#77034C211yesmaximal, characteristic, complemented
15#77033C211yesmaximal, characteristic, complemented
16#77014C211yesmaximal, characteristic, complemented
17#77005C211yesmaximal, characteristic, complemented
18#74895C211yesmaximal, characteristic, complemented
19#74877C211yesmaximal, characteristic, complemented
20#74819C211yesmaximal, characteristic, complemented
21#74801C211yesmaximal, characteristic, complemented
22#74655C211yesmaximal, characteristic, complemented
23D3×#385C211yesmaximal, characteristic, complemented
24#74442C211yesmaximal, characteristic, complemented
25#74441C211yesmaximal, characteristic, complemented
26#73853C211yesmaximal, characteristic, complemented
27#73853C211yesmaximal, characteristic, complemented
28#73850C211yesmaximal, characteristic, complemented
29#73831C211yesmaximal, characteristic, complemented
30#73830C211yesmaximal, characteristic, complemented
31#73828C211yesmaximal, characteristic, complemented
32#37692—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#938—28no—
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×#935C2211yescharacteristic, complemented
53C2×#935C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic, complemented
56C22×C4⋊Dic3C2211yescharacteristic
57C2×#924C2211yescharacteristic, complemented
58#5660—28no—
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×D3×C4⋊C4C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#890C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic
76C2×#878C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#379C2211yescharacteristic
86C3×#379C2211yescharacteristic
87C3×#379C2211yescharacteristic
88#5247C2211yescharacteristic
89#5247C2211yescharacteristic
90#5247C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5220C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#5210C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4986C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4953C2211yescharacteristic, complemented
139#4953C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4952C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic
148#4950C2211yescharacteristic
149#4950C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4946C2211yescharacteristic
161#4946C2211yescharacteristic
162#4946C2211yescharacteristic
163#4946C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4942C2211yescharacteristic
169#4942C2211yescharacteristic
170#4942C2211yescharacteristic
171#4942C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4659C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#121—31no—
192#2848—31no—
193#2711—31no—
194#2711—31no—
195#2708—31no—
196#2708—31no—
197#2691—31no—
198#2691—31no—
199#2681—31no—
200#2681—31no—
201#2639—31no—
202#2618—31no—
203#2480—31no—
204#2480—31no—
205#2473—31no—
206#2473—31no—
207#2443—31no—
208#2443—31no—
209#2437—31no—
210#2437—31no—
211#2425—31no—
212#2425—31no—
213#2405—31no—
214#2405—31no—
215#2405—31no—
216#2405D311yescharacteristic, complemented
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2325—31no—
220C2×#385—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67—24no—
235C22×#67—24no—
236C22×#67—24no—
237C22×#67—24no—
238C22×#67—42no—
239C22×#67—42no—
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C22×C4×D3—24no—
254C22×C4×D3—42no—
255C22×C4×D3—42no—
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#123—24no—
266C3×#123—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—42no—
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×#217—24no—
291C2×#217—24no—
292C2×#217—42no—
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319#938—24no—
320#938—24no—
321#938—24no—
322#938—24no—
323#938—24no—
324#938—24no—
325#938—24no—
326#938D418yes—
327#935—24no—
328#935—42no—
329C4×#67—24no—
330C4×#67—42no—
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×C4⋊Dic3—24no—
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355#924—24no—
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#896—24no—
379#896—42no—
380D3×C4⋊C4—24no—
381D3×C4⋊C4—42no—
382#890—24no—
383#889—24no—
384#883—24no—
385#883—24no—
386#883—42no—
387#883—42no—
388#67⋊C4—24no—
389#67⋊C4—42no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392#879—24no—
393#879—24no—
394#878—24no—
395#878—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C23×D4C2×D311yescharacteristic
429C24×C4—31no—
430#539—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#125—31no—
434C2×#125—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123C2×D311yescharacteristic, complemented
442C2×#123C2×D311yescharacteristic, complemented
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—68no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4C2×D311yescharacteristic
470#400—31no—
471#400—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#394C2×D311yescharacteristic, complemented
507#394C2×D311yescharacteristic, complemented
508#393—31no—
509#393—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
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#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#385—31no—
543#385—31no—
544#385—31no—
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#385C2×D311yescharacteristic
563#385C2×D311yescharacteristic
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379C2×D311yescharacteristic
577#379C2×D311yescharacteristic
578#379C2×D311yescharacteristic
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3#4114yes—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—416no—
623C2×C3×D4C2×D414yes—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—416no—
666C2×#67—416no—
667C2×#67C2×D414yes—
668C2×#67C2×D414yes—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—416no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3C2×D414yes—
723C2×Dic6—22no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217C2×D414yes—
773#217C2×D414yes—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—22no—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794C4⋊Dic3—41no—
795C4⋊Dic3—41no—
796C4⋊Dic3C2×D414yes—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C25—31no—
820C25C22×D311yescharacteristic
821C25C22×D311yescharacteristic
822C22×Q8—31no—
823C22×D4—24no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4—64no—
835C22×D4—64no—
836C22×D4—64no—
837C22×D4—64no—
838C22×D4—122no—
839C22×D4—122no—
840C22×D4C22×D311yescharacteristic
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—64no—
858C23×C4—122no—
859C23×C4—122no—
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863#126—64no—
864#126—64no—
865#125—64no—
866#125—64no—
867#123—24no—
868#123—42no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873#123—122no—
874#123—122no—
875C22⋊Q8—64no—
876C22⋊Q8—64no—
877C22⋊Q8—64no—
878C22⋊Q8—122no—
879C22⋊Q8—122no—
880#121—38no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888C4×D4—64no—
889C4×D4—64no—
890C4×D4—122no—
891C4×D4—122no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—64no—
922C2×C4⋊C4—64no—
923C2×C4⋊C4—122no—
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—42no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4—64no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—44no—
1055C23×C3—44no—
1056C23×C3—44no—
1057C23×C3—44no—
1058C23×C3—44no—
1059C23×C3—44no—
1060C23×C3—44no—
1061C23×C3—44no—
1062C23×C3—82no—
1063C23×C3—82no—
1064C23×C3—82no—
1065C23×C3—82no—
1066C23×C3—82no—
1067C23×C3—82no—
1068C23×C3C22×D412yes—
1069C23×C3C22×D412yes—
1070C23×C3C2×#4112yes—
1071C23×C3H(5,𝔽2)12yes—
1072C23×C32−1+412yes—
1073C23×C3C2511yescharacteristic
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—28no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—28no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3C22×D412yes—
1092C22×D3C2×#4112yes—
1093C22×D3C2×#4112yes—
1094C22×D3H(5,𝔽2)12yes—
1095C3×D4—44no—
1096C3×D4—44no—
1097C3×D4—44no—
1098C3×D4—44no—
1099C2×C3×C4—28no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—82no—
1129C2×C3×C4—82no—
1130C2×C3×C4C22×D412yes—
1131C2×C3×C4H(5,𝔽2)12yes—
1132#67—28no—
1133#67—28no—
1134#67—44no—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—44no—
1180C2×Dic3—44no—
1181C2×Dic3—44no—
1182C2×Dic3—82no—
1183C2×Dic3—82no—
1184C2×Dic3C22×D412yes—
1185C2×Dic3C22×D412yes—
1186C2×Dic3C22×D412yes—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—82no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—31no—
1205C24—31no—
1206C24—34no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—62no—
1214C24—62no—
1215C24—62no—
1216C24—62no—
1217C24—121no—
1218C24—121no—
1219C24C23×D311yescharacteristic
1220C24C23×D311yescharacteristic
1221C24C23×D311yescharacteristic
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C2×Q8—62no—
1225C2×Q8—121no—
1226C2×Q8—121no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—34no—
1233C2×D4—34no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—416no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—1216no—
1264C2×D4—1216no—
1265C2×D4D3×D414yes—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—34no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
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—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—1216no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—34no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—34no—
1380C22⋊C4—34no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C42—62no—
1429C42—62no—
1430C42—121no—
1431C42—121no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—88no—
1467C22×C3—88no—
1468C22×C3#53914yescomplemented
1469C22×C3C23×D411yescharacteristic
1470C22×C3C22×#4111yescharacteristic
1471C22×C3C2×H(5,𝔽2)11yescharacteristic
1472C22×C3C2×H(5,𝔽2)11yescharacteristic
1473C22×C3C2×H(5,𝔽2)11yescharacteristic
1474C22×C3C2×2−1+411yescharacteristic
1475C22×C3#58511yescharacteristic
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—416no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3#54614yes—
1491C3×C4—22no—
1492C3×C4—22no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501Dic3—22no—
1502Dic3—22no—
1503Dic3—22no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—32no—
1546C23—32no—
1547C23—32no—
1548C23—32no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—68no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—68no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—82no—
1570C23—82no—
1571C23—82no—
1572C23—82no—
1573C23—82no—
1574C23—82no—
1575C23—124no—
1576C23—124no—
1577C23—124no—
1578C23—124no—
1579C23—124no—
1580C23C2×D3×D412yes—
1581C23C2×D3×D412yes—
1582C23#100412yes—
1583C23D3×#4112yes—
1584C23#101012yes—
1585C23C24×D311yescharacteristic
1586Q8—242no—
1587D4—44no—
1588D4—44no—
1589D4—44no—
1590D4—44no—
1591D4—68no—
1592D4—68no—
1593D4—124no—
1594D4—124no—
1595D4—124no—
1596D4—124no—
1597D4—124no—
1598D4—124no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—32no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—82no—
1671C2×C4—82no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—124no—
1680C2×C4—124no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4—242no—
1685C2×C4C2×D3×D412yes—
1686C2×C4#100412yes—
1687C2×C3—24no—
1688C2×C3—42no—
1689C2×C3—42no—
1690C2×C3—81no—
1691C2×C3—81no—
1692C2×C3C2×#53911yescharacteristic
1693C2×C3C2×#54611yescharacteristic
1694C2×C3#348411yescharacteristic
1695C2×C3#348911yescharacteristic
1696C2×C3#350511yescharacteristic
1697C2×C3#353411yescharacteristic
1698C2×C3#353611yescharacteristic
1699D3—24no—
1700D3—42no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—34no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—62no—
1743C22—62no—
1744C22—62no—
1745C22—88no—
1746C22—88no—
1747C22—1216no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22#566014yescomplemented
1753C22C22×D3×D411yescharacteristic
1754C22C2×#100411yescharacteristic
1755C22C2×#100411yescharacteristic
1756C22C2×D3×#4111yescharacteristic
1757C22C2×#101011yescharacteristic
1758C22D3×H(5,𝔽2)11yescharacteristic
1759C22#596611yescharacteristic
1760C4—22no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—62no—
1771C4—62no—
1772C4—62no—
1773C4—121no—
1774C4—121no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C4—121no—
1783C4—121no—
1784C3#3769211yescharacteristic, complemented, Sylow
1785C2—24no—
1786C2—42no—
1787C2—42no—
1788C2—64no—
1789C2—81no—
1790C2—81no—
1791C2—122no—
1792C2#8591911yescharacteristic
1793C2C2×#566011yescharacteristic
1794C2#8631111yescharacteristic
1795C2#8663011yescharacteristic
1796C2D3×#54611yescharacteristic
1797C2#8666611yescharacteristic
1798C2#8667011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
prime radicalC22×#938C2
hypercenter#2405D3
hypocenterC3#37692
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
2. C2×#5660C2semidirect
3. C3×#2405C2semidirect
4. #84047C2semidirect
5. #82910C2semidirect
6. #82897C2semidirect
7. #82872C2semidirect
8. C22⋊C4×#67C2semidirect
9. #82110C2semidirect
10. #77126C2semidirect
11. #77124C2semidirect
12. #77117C2semidirect
13. #77115C2semidirect
14. #77034C2semidirect
15. #77033C2semidirect
16. #77014C2semidirect
17. #77005C2semidirect
18. #74895C2semidirect
19. #74877C2semidirect
20. #74819C2semidirect
21. #74801C2semidirect
22. #74655C2semidirect
23. D3×#385C2semidirect
24. #74442C2semidirect
25. #74441C2semidirect
26. #73853C2semidirect
27. #73853C2semidirect
28. #73850C2semidirect
29. #73831C2semidirect
30. #73830C2semidirect
31. #73828C2semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×#123C22semidirect
52. C2×#935C22semidirect
53. C2×#935C22semidirect
54. C2×C4×#67C22semidirect
55. C2×C4×#67C22semidirect
57. C2×#924C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
61. C2×D3×C4⋊C4C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#890C22semidirect
64. C2×#889C22semidirect
65. C2×#883C22semidirect
66. C2×#883C22semidirect
67. C2×#883C22semidirect
68. C2×#883C22semidirect
69. C2×#67⋊C4C22semidirect
70. C2×#67⋊C4C22semidirect
73. C2×#879C22semidirect
74. C2×#879C22semidirect
76. C2×#878C22semidirect
77. C3×#394C22semidirect
78. C3×#394C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#386C22semidirect
82. C3×#386C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5220C22semidirect
96. #5220C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5212C22semidirect
102. #5210C22semidirect
103. #5210C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
108. #4986C22semidirect
109. #4984C22semidirect
110. #4982C22semidirect
111. #4982C22semidirect
112. #4981C22semidirect
113. #4980C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
138. #4953C22semidirect
139. #4953C22semidirect
140. #4952C22semidirect
141. #4952C22semidirect
142. #4952C22semidirect
143. #4952C22semidirect
144. #4951C22semidirect
145. #4951C22semidirect
149. #4950C22semidirect
150. #4949C22semidirect
151. #4949C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
163. #4946C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
171. #4942C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. D3×#95C22semidirect
181. D3×#95C22semidirect
182. #4661C22semidirect
183. #4661C22semidirect
184. #4659C22semidirect
185. #4657C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
216. #2405D3semidirect
441. C2×#123C2×D3semidirect
442. C2×#123C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
506. #394C2×D3semidirect
507. #394C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
1468. C22×C3#539semidirect
1752. C22#5660semidirect
1784. C3#37692semidirect

Maximal subgroups

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

subgroupindex
C22×#9382
C2×#56602
C3×#24052
#840472
#829102
#828972
#828722
C22⋊C4×#672
#821102
#771262
#771242
#771172
#771152
#770342
#770332
#770142
#770052
#748952
#748772
#748192
#748012
#746552
D3×#3852
#744422
#744412
#738532
#738502
#738312
#738302
#738282
#376923