Finite Group Databasebeta

← #11301783

Subgroups — #11301783

Order 768.

2510 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5634C211yesmaximal, characteristic, complemented
3C3×#2681C211yesmaximal, characteristic, complemented
4#82878C211yesmaximal, characteristic, complemented
5#82820C211yesmaximal, characteristic, complemented
6#82817C211yesmaximal, characteristic, complemented
7#82764C211yesmaximal, characteristic, complemented
8#82706C211yesmaximal, characteristic, complemented
9#82701C211yesmaximal, characteristic, complemented
10#77972C211yesmaximal, characteristic, complemented
11#77871C211yesmaximal, characteristic, complemented
12#77436C211yesmaximal, characteristic, complemented
13#77431C211yesmaximal, characteristic, complemented
14#77139C211yesmaximal, characteristic, complemented
15#77119C211yesmaximal, characteristic, complemented
16#77112C211yesmaximal, characteristic, complemented
17#77017C211yesmaximal, characteristic, complemented
18#76916C211yesmaximal, characteristic, complemented
19#76894C211yesmaximal, characteristic, complemented
20#76875C211yesmaximal, characteristic, complemented
21#76814C211yesmaximal, characteristic, complemented
22#76442C211yesmaximal, characteristic, complemented
23#76382C211yesmaximal, characteristic, complemented
24#76212C211yesmaximal, characteristic, complemented
25#75992C211yesmaximal, characteristic, complemented
26#75922C211yesmaximal, characteristic, complemented
27#75856C211yesmaximal, characteristic, complemented
28#74886C211yesmaximal, characteristic, complemented
29#74693C211yesmaximal, characteristic, complemented
30#74603C211yesmaximal, characteristic, complemented
31#74540C211yesmaximal, characteristic, complemented
32#47832—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×#235C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C2×#924C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic, complemented
50#5655—28no—
51#5634—28no—
52C2×#897C2211yescharacteristic
53C2×#897C2211yescharacteristic
54C2×#897C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×D3×C4⋊C4C2211yescharacteristic, complemented
61C2×#888C2211yescharacteristic, complemented
62C2×#886C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic
78C3×#398C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic, complemented
83C3×#393C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic
85C3×#389C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#385C2211yescharacteristic
89#5230C2211yescharacteristic, complemented
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5221C2211yescharacteristic, complemented
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5213C2211yescharacteristic
98#5212C2211yescharacteristic, complemented
99#5210C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic
102#4993C2211yescharacteristic
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4990C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4987C2211yescharacteristic
112#4987C2211yescharacteristic
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4978C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4973C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4960C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4955C2211yescharacteristic
146#4953C2211yescharacteristic, complemented
147#4951C2211yescharacteristic
148#4951C2211yescharacteristic
149#4950C2211yescharacteristic, complemented
150#4949C2211yescharacteristic
151#4948C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic
155#4947C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic, complemented
163#4940C2211yescharacteristic
164#4933C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic
168#4673C2211yescharacteristic
169#4673C2211yescharacteristic, complemented
170#4672C2211yescharacteristic
171#4670C2211yescharacteristic, complemented
172#4669C2211yescharacteristic
173#4669C2211yescharacteristic
174#4668C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#543—31no—
192#2729—31no—
193#2729—31no—
194#2696—31no—
195#2696—31no—
196#2692—31no—
197#2692—31no—
198#2687—31no—
199#2687—31no—
200#2681—31no—
201#2681—31no—
202#2681—31no—
203#2681D311yescharacteristic, complemented
204#2638—31no—
205#2616—31no—
206#2534—31no—
207#2463—31no—
208#2463—31no—
209#2449—31no—
210#2449—31no—
211#2424—31no—
212#2424—31no—
213#2418—31no—
214#2418—31no—
215#2417—31no—
216#2417—31no—
217#2407—31no—
218#2407—31no—
219#2404—31no—
220#2378—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
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#237—24no—
240C2×#237—42no—
241C2×#237—42no—
242C2×#235—24no—
243C2×#235—42no—
244C2×#235—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×#123—24no—
259C3×C22⋊Q8—24no—
260C3×C22⋊Q8—42no—
261C3×#121—42no—
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#946—24no—
298#946—24no—
299#946—42no—
300#939—24no—
301#937—42no—
302#937—42no—
303D4×Dic3—42no—
304C4×#67—42no—
305C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340#924—24no—
341C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#897—24no—
364#897—24no—
365#897—42no—
366#896—24no—
367#896—24no—
368#896—24no—
369#896D418yescomplemented
370#894—24no—
371D3×C4⋊C4—24no—
372#888—24no—
373#886—24no—
374#884—24no—
375#884—42no—
376#883—24no—
377#883—42no—
378#882—42no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#67⋊C4—42no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384#878—24no—
385#878—24no—
386#878—24no—
387#878—42no—
388C4×D12—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425#547—68no—
426#543—68no—
427C2×C4⋊Q8—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123C2×D311yescharacteristic, complemented
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—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic
449C2×C22⋊Q8C2×D311yescharacteristic, complemented
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121C2×D311yescharacteristic
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C22×C4⋊C4—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398C2×D311yescharacteristic, complemented
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#395—31no—
491#394—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#394C2×D311yescharacteristic
503#394C2×D311yescharacteristic
504#394C2×D311yescharacteristic, complemented
505#393—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393C2×D311yescharacteristic, complemented
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391—31no—
517#391—31no—
518#391—31no—
519#391—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390C2×D311yescharacteristic
524#389—31no—
525#389—31no—
526#389—31no—
527#389C2×D311yescharacteristic, complemented
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669#237—416no—
670#235—416no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3C2×D414yes—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6C2×D414yes—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4C2×D414yes—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C42—41no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4C2×D414yes—
769(C2×D3)⋊C4C2×D414yes—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—41no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4C2×D414yes—
795Dic3⋊C4C2×D414yes—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C2×#41—64no—
802C2×#41—64no—
803C2×#41—122no—
804C2×#41—122no—
805C2×#41—122no—
806C2×#41—122no—
807C22×Q8—31no—
808C22×Q8—31no—
809C22×Q8—31no—
810C22×Q8—31no—
811C22×Q8C22×D311yescharacteristic
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C4⋊Q8—64no—
838#123—24no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—24no—
844C22⋊Q8—38no—
845C22⋊Q8—42no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851C22⋊Q8—64no—
852C22⋊Q8—64no—
853C22⋊Q8—64no—
854C22⋊Q8—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—122no—
858C22⋊Q8—122no—
859C22⋊Q8—122no—
860#121—42no—
861#121—64no—
862#121—64no—
863#121—122no—
864#120—122no—
865#120—122no—
866#120—122no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
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—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
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—64no—
900C2×C4⋊C4—64no—
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
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—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
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—64no—
948C2×C22⋊C4—64no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42C22×D311yescharacteristic
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3H(5,𝔽2)12yes—
1022C23×C32−1+412yes—
1023C23×C3C2511yescharacteristic
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—28no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3—82no—
1049C22×D3C22×D412yes—
1050C22×D3H(5,𝔽2)12yes—
1051C22×D32−1+412yes—
1052C3×Q8—82no—
1053C3×D4—44no—
1054C3×D4—44no—
1055C3×D4—82no—
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—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—44no—
1090C2×C3×C4—82no—
1091C2×C3×C4C22×D412yes—
1092C2×C3×C4C22×D412yes—
1093C2×C3×C4C22×D412yes—
1094#67—28no—
1095#67—44no—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—82no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—44no—
1137C2×Dic3—44no—
1138C2×Dic3—44no—
1139C2×Dic3—82no—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C2×Dic3H(5,𝔽2)12yes—
1144D12—44no—
1145D12—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—82no—
1151C4×D3—82no—
1152C4×D3—82no—
1153Dic6—44no—
1154Dic6—44no—
1155Dic6—82no—
1156Dic6—82no—
1157C24—31no—
1158C24—31no—
1159C24—31no—
1160C24—62no—
1161C24—62no—
1162C24—62no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170#41—1216no—
1171#41—1216no—
1172C2×Q8—22no—
1173C2×Q8—34no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—34no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—34no—
1291C4⋊C4—34no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4D3×D414yes—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—34no—
1331C22⋊C4—34no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C42—41no—
1373C42—62no—
1374C42—121no—
1375C42—121no—
1376C42—121no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3C23×D411yescharacteristic
1399C22×C3C2×H(5,𝔽2)11yescharacteristic
1400C22×C3C2×H(5,𝔽2)11yescharacteristic
1401C22×C3C2×H(5,𝔽2)11yescharacteristic
1402C22×C3C2×2−1+411yescharacteristic
1403C22×C3C2×2−1+411yescharacteristic
1404C22×C3#58511yescharacteristic
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—88no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—22no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—32no—
1472C23—32no—
1473C23—32no—
1474C23—68no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—242no—
1494C23—242no—
1495C23—242no—
1496C23—242no—
1497C23—242no—
1498C23—242no—
1499C23#100412yes—
1500C23#101012yes—
1501C23C24×D311yescharacteristic
1502Q8—82no—
1503Q8—124no—
1504Q8—124no—
1505Q8—242no—
1506Q8—242no—
1507D4—44no—
1508D4—44no—
1509D4—68no—
1510D4—82no—
1511D4—124no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—124no—
1517D4—124no—
1518D4—242no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—32no—
1553C2×C4—32no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—44no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—82no—
1593C2×C4—124no—
1594C2×C4—124no—
1595C2×C4—124no—
1596C2×C4—124no—
1597C2×C4—124no—
1598C2×C4—124no—
1599C2×C4—124no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4C2×D3×D412yes—
1605C2×C4C2×D3×D412yes—
1606C2×C4C2×D3×D412yes—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—81no—
1610C2×C3#348411yescharacteristic
1611C2×C3#348611yescharacteristic
1612C2×C3#348811yescharacteristic
1613C2×C3#353511yescharacteristic
1614C2×C3#353511yescharacteristic
1615C2×C3#353611yescharacteristic
1616C2×C3#353611yescharacteristic
1617D3—42no—
1618D3—42no—
1619D3—42no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—62no—
1642C22—62no—
1643C22—62no—
1644C22—62no—
1645C22—62no—
1646C22—62no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—248no—
1663C22C22×D3×D411yescharacteristic
1664C22C2×#100411yescharacteristic
1665C22C2×#101011yescharacteristic
1666C22D3×H(5,𝔽2)11yescharacteristic
1667C22D3×H(5,𝔽2)11yescharacteristic
1668C22D3×2−1+411yescharacteristic
1669C22#596811yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—62no—
1683C4—62no—
1684C4—62no—
1685C4—62no—
1686C4—121no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#4783211yescharacteristic, complemented, Sylow
1696C2—42no—
1697C2—42no—
1698C2—81no—
1699C2—122no—
1700C2—122no—
1701C2—122no—
1702C2#8635811yescharacteristic
1703C2#8637911yescharacteristic
1704C2#8646111yescharacteristic
1705C2#8662011yescharacteristic
1706C2#8664711yescharacteristic
1707C2#8673511yescharacteristic
1708C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2681C2
hypercenter#2681D3
hypocenterC3#47832
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5634C2semidirect
3. C3×#2681C2semidirect
4. #82878C2semidirect
5. #82820C2semidirect
6. #82817C2semidirect
7. #82764C2semidirect
8. #82706C2semidirect
9. #82701C2semidirect
10. #77972C2semidirect
11. #77871C2semidirect
12. #77436C2semidirect
13. #77431C2semidirect
14. #77139C2semidirect
15. #77119C2semidirect
16. #77112C2semidirect
17. #77017C2semidirect
18. #76916C2semidirect
19. #76894C2semidirect
20. #76875C2semidirect
21. #76814C2semidirect
22. #76442C2semidirect
23. #76382C2semidirect
24. #76212C2semidirect
25. #75992C2semidirect
26. #75922C2semidirect
27. #75856C2semidirect
28. #74886C2semidirect
29. #74693C2semidirect
30. #74603C2semidirect
31. #74540C2semidirect
33. C22×#237C22semidirect
35. C2×C3×#123C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
41. C2×#946C22semidirect
49. C22×Dic3⋊C4C22semidirect
54. C2×#897C22semidirect
60. C2×D3×C4⋊C4C22semidirect
61. C2×#888C22semidirect
66. C2×#883C22semidirect
70. C2×#67⋊C4C22semidirect
75. C2×#878C22semidirect
76. C2×#878C22semidirect
78. C3×#398C22semidirect
79. C3×#396C22semidirect
82. C3×#394C22semidirect
83. C3×#393C22semidirect
85. C3×#389C22semidirect
86. C3×#388C22semidirect
89. #5230C22semidirect
93. #5221C22semidirect
98. #5212C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4986C22semidirect
116. #4982C22semidirect
117. #4981C22semidirect
118. #4980C22semidirect
119. #4979C22semidirect
120. #4979C22semidirect
121. #4978C22semidirect
122. #4978C22semidirect
123. #4976C22semidirect
124. #4973C22semidirect
125. #4972C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
139. #4957C22semidirect
146. #4953C22semidirect
149. #4950C22semidirect
153. #4948C22semidirect
155. #4947C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4946C22semidirect
160. #4946C22semidirect
162. #4942C22semidirect
164. #4933C22semidirect
165. #4929C22semidirect
169. #4673C22semidirect
171. #4670C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
203. #2681D3semidirect
369. #896D4semidirect
432. C2×#123C2×D3semidirect
449. C2×C22⋊Q8C2×D3semidirect
478. #398C2×D3semidirect
487. #396C2×D3semidirect
504. #394C2×D3semidirect
511. #393C2×D3semidirect
527. #389C2×D3semidirect
537. #388C2×D3semidirect
1695. C3#47832semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#56342
C3×#26812
#828782
#828202
#828172
#827642
#827062
#827012
#779722
#778712
#774362
#774312
#771392
#771192
#771122
#770172
#769162
#768942
#768752
#768142
#764422
#763822
#762122
#759922
#759222
#758562
#748862
#746932
#746032
#745402
#478323