Finite Group Databasebeta

← #11024343

Subgroups — #11024343

Order 768.

2566 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5692C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3C3×#2704C211yesmaximal, characteristic, complemented
4#83059C211yesmaximal, characteristic, complemented
5#82797C211yesmaximal, characteristic, complemented
6#77967C211yesmaximal, characteristic, complemented
7#77963C211yesmaximal, characteristic, complemented
8#77962C211yesmaximal, characteristic, complemented
9#77950C211yesmaximal, characteristic, complemented
10#77948C211yesmaximal, characteristic, complemented
11#77755C211yesmaximal, characteristic, complemented
12#77420C211yesmaximal, characteristic, complemented
13#77416C211yesmaximal, characteristic, complemented
14#77416C211yesmaximal, characteristic, complemented
15#77291C211yesmaximal, characteristic, complemented
16#77250C211yesmaximal, characteristic, complemented
17#77214C211yesmaximal, characteristic, complemented
18#76613C211yesmaximal, characteristic, complemented
19#76565C211yesmaximal, characteristic, complemented
20#76257C211yesmaximal, characteristic, complemented
21#76219C211yesmaximal, characteristic, complemented
22#76204C211yesmaximal, characteristic, complemented
23#76196C211yesmaximal, characteristic, complemented
24#75859C211yesmaximal, characteristic, complemented
25#75852C211yesmaximal, characteristic, complemented
26#75845C211yesmaximal, characteristic, complemented
27#75526C211yesmaximal, characteristic, complemented
28#74656C211yesmaximal, characteristic, complemented
29#74515C211yesmaximal, characteristic, complemented
30D3×#380C211yesmaximal, characteristic, complemented
31#73966C211yesmaximal, characteristic, complemented
32#37666—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#930C2211yescharacteristic
39#5692—28no—
40#5627—28no—
41C2×#898C2211yescharacteristic, complemented
42C2×#897C2211yescharacteristic, complemented
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#892C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×#889C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#876C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic
74C2×C4×D12C2211yescharacteristic
75C3×#398C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#395C2211yescharacteristic, complemented
81C3×#391C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic
85C3×#388C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#380C2211yescharacteristic
88#5231C2211yescharacteristic, complemented
89#5229C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5212C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4987C2211yescharacteristic
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4981C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125#4976C2211yescharacteristic, complemented
126#4976C2211yescharacteristic, complemented
127#4973C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4955C2211yescharacteristic
140#4949C2211yescharacteristic
141#4947C2211yescharacteristic
142#4946C2211yescharacteristic
143#4942C2211yescharacteristic
144#4942C2211yescharacteristic
145#4940C2211yescharacteristic
146#4940C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic
153#4674C2211yescharacteristic
154#4674C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4669C2211yescharacteristic
162#4668C2211yescharacteristic, complemented
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190C2×#539—31no—
191C2×#525—31no—
192#2849—31no—
193#2704D311yescharacteristic, complemented
194#2703—31no—
195#2702—31no—
196#2692—31no—
197#2691—31no—
198#2690—31no—
199#2672—31no—
200#2671—31no—
201#2623—31no—
202#2618—31no—
203#2472—31no—
204#2468—31no—
205#2467—31no—
206#2460—31no—
207#2457—31no—
208#2454—31no—
209#2450—31no—
210#2438—31no—
211#2430—31no—
212#2427—31no—
213#2425—31no—
214#2424—31no—
215#2424—31no—
216#2418—31no—
217#2359—31no—
218#2339—31no—
219#2322—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C2×#239—24no—
229C2×#239—24no—
230C2×#239—42no—
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#125—24no—
258C3×C22⋊Q8—24no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊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×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285#946—24no—
286#930—24no—
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#897—24no—
352#896—24no—
353#896—24no—
354#895—24no—
355#895—24no—
356#895—42no—
357#895—42no—
358#895—42no—
359#894—24no—
360#894—24no—
361#894—24no—
362#894—24no—
363#894—24no—
364#894—42no—
365#894D418yescomplemented
366#893—24no—
367#893—24no—
368#893—24no—
369#893—42no—
370#892—24no—
371D3×C4⋊C4—24no—
372D3×C4⋊C4—42no—
373#889—24no—
374#882—24no—
375#882—24no—
376#882—42no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379D3×C22⋊C4—42no—
380D3×C22⋊C4—42no—
381#876—24no—
382#875—42no—
383C4×D12—24no—
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
420C22×#41—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×#124—31no—
428#525—68no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—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—
456C2×C4×D4—31no—
457C2×#117—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#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#398C2×D311yescharacteristic, complemented
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396C2×D311yescharacteristic
483#396C2×D311yescharacteristic
484#395—31no—
485#395C2×D311yescharacteristic, complemented
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#393—31no—
498#393—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391C2×D311yescharacteristic, complemented
505#390—31no—
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#389C2×D311yescharacteristic, complemented
511#389C2×D311yescharacteristic, complemented
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—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#386—31no—
541#386—31no—
542#386—31no—
543#386—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#385C2×D311yescharacteristic
556#381—31no—
557#381—31no—
558#381—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×Q8—22no—
591C2×C3×Q8—22no—
592C2×C3×Q8—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—41no—
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633#239—416no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12C2×D414yes—
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—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—416no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
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×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3C2×D414yes—
700C2×C4×D3#4114yes—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
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—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C42—22no—
726C3×C42—41no—
727#217—41no—
728#217—41no—
729#217—41no—
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—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
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—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
767(C2×D3)⋊C4C2×D414yes—
768(C2×D3)⋊C4C2×D414yes—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4C2×D414yes—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25—31no—
794C2×#41—64no—
795C2×#41—64no—
796C2×#41—122no—
797C22×Q8—31no—
798C22×Q8C22×D311yescharacteristic
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—64no—
826C23×C4—64no—
827C23×C4—122no—
828C23×C4C22×D311yescharacteristic
829#126—64no—
830#126—64no—
831#125—24no—
832#125—64no—
833#124—122no—
834#123—38no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—24no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846#121—64no—
847#121—64no—
848#121—64no—
849#121—122no—
850#121—122no—
851#121—122no—
852#120—64no—
853#120—64no—
854#120—122no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—64no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862#117—64no—
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—31no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—122no—
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
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—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—122no—
942C2×C22⋊C4—122no—
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C32−1+412yes—
999C23×C3C2511yescharacteristic
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—28no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—44no—
1032C22×D3—44no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3C22×D412yes—
1038C22×D3C22×D412yes—
1039C22×D3C2×#4112yes—
1040C22×D3H(5,𝔽2)12yes—
1041C22×D3H(5,𝔽2)12yes—
1042C3×Q8—44no—
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—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—44no—
1082C2×C3×C4C22×D412yes—
1083C2×C3×C4C22×D412yes—
1084C2×C3×C4C22×D412yes—
1085C2×C3×C4C2×#4112yes—
1086#67—44no—
1087#67—44no—
1088#67—82no—
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—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—44no—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C2×#4112yes—
1123D12—28no—
1124D12—44no—
1125D12—44no—
1126D12—44no—
1127D12—44no—
1128D12—44no—
1129D12—82no—
1130D12—82no—
1131D12—82no—
1132C4×D3—28no—
1133C4×D3—28no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—82no—
1139C4×D3—82no—
1140C4×D3—82no—
1141C4×D3—82no—
1142C4×D3—82no—
1143C4×D3—82no—
1144C4×D3—82no—
1145Dic6—82no—
1146C24—31no—
1147C24—31no—
1148C24—31no—
1149C24—31no—
1150C24—31no—
1151C24—62no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—121no—
1157C24—121no—
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—41no—
1163C2×Q8—62no—
1164C2×Q8—121no—
1165C2×Q8—121no—
1166C2×D4—34no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—34no—
1208C22×C4—34no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—41no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—1216no—
1258C22×C4—121no—
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—34no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4D3×D414yes—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—34no—
1311C22⋊C4—34no—
1312C22⋊C4—34no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C42—22no—
1356C42—41no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3C23×D411yescharacteristic
1370C22×C3C22×#4111yescharacteristic
1371C22×C3C2×H(5,𝔽2)11yescharacteristic
1372C22×C3C2×H(5,𝔽2)11yescharacteristic
1373C22×C3C2×2−1+411yescharacteristic
1374C22×C3#58511yescharacteristic
1375C22×C3#58511yescharacteristic
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—416no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3#54614yes—
1412C3×C4—22no—
1413C3×C4—22no—
1414C3×C4—22no—
1415C3×C4—22no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—32no—
1444C23—32no—
1445C23—32no—
1446C23—32no—
1447C23—32no—
1448C23—68no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23#100712yes—
1486C23C24×D311yescharacteristic
1487Q8—44no—
1488Q8—242no—
1489D4—68no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—124no—
1497D4—242no—
1498D4—242no—
1499D4—242no—
1500D4—242no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
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—32no—
1540C2×C4—32no—
1541C2×C4—32no—
1542C2×C4—44no—
1543C2×C4—68no—
1544C2×C4—68no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
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—124no—
1576C2×C4—124no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—242no—
1581C2×C4—242no—
1582C2×C4—242no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4C2×D3×D412yes—
1588C2×C4C2×D3×D412yes—
1589C2×C4C2×D3×D412yes—
1590C2×C4D3×#4112yes—
1591C2×C3—42no—
1592C2×C3#345511yescharacteristic
1593C2×C3C2×#54611yescharacteristic
1594C2×C3#348811yescharacteristic
1595C2×C3#348911yescharacteristic
1596C2×C3#349211yescharacteristic
1597C2×C3#353411yescharacteristic
1598C2×C3#353511yescharacteristic
1599D3—24no—
1600D3—42no—
1601D3—42no—
1602D3—81no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—34no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—1216no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22C22×D3×D411yescharacteristic
1648C22C2×#100711yescharacteristic
1649C22C2×D3×#4111yescharacteristic
1650C22D3×H(5,𝔽2)11yescharacteristic
1651C22D3×H(5,𝔽2)11yescharacteristic
1652C22#596811yescharacteristic
1653C22#596811yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—62no—
1669C4—62no—
1670C4—62no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C3#3766611yescharacteristic, complemented, Sylow
1680C2—42no—
1681C2—64no—
1682C2—122no—
1683C2—122no—
1684C2—241no—
1685C2—241no—
1686C2#8637911yescharacteristic
1687C2#8649511yescharacteristic
1688C2#8660011yescharacteristic
1689C2D3×#54611yescharacteristic
1690C2#8674511yescharacteristic
1691C2#8694711yescharacteristic
1692C2#8710911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2704C2
hypercenter#2704D3
hypocenterC3#37666
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2704

Complements

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

NH ≅ G/Ntype
1. C2×#5692C2semidirect
2. C2×#5627C2semidirect
3. C3×#2704C2semidirect
4. #83059C2semidirect
5. #82797C2semidirect
6. #77967C2semidirect
7. #77963C2semidirect
8. #77962C2semidirect
9. #77950C2semidirect
10. #77948C2semidirect
11. #77755C2semidirect
12. #77420C2semidirect
13. #77416C2semidirect
14. #77416C2semidirect
15. #77291C2semidirect
16. #77250C2semidirect
17. #77214C2semidirect
18. #76613C2semidirect
19. #76565C2semidirect
20. #76257C2semidirect
21. #76219C2semidirect
22. #76204C2semidirect
23. #76196C2semidirect
24. #75859C2semidirect
25. #75852C2semidirect
26. #75845C2semidirect
27. #75526C2semidirect
28. #74656C2semidirect
29. #74515C2semidirect
30. D3×#380C2semidirect
31. #73966C2semidirect
35. C2×C3×#125C22semidirect
41. C2×#898C22semidirect
42. C2×#897C22semidirect
44. C2×#896C22semidirect
55. C2×#894C22semidirect
56. C2×#894C22semidirect
64. C2×#889C22semidirect
72. C2×#876C22semidirect
75. C3×#398C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
80. C3×#395C22semidirect
81. C3×#391C22semidirect
82. C3×#389C22semidirect
83. C3×#389C22semidirect
88. #5231C22semidirect
89. #5229C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4993C22semidirect
95. #4993C22semidirect
96. #4992C22semidirect
100. #4991C22semidirect
101. #4991C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
117. #4987C22semidirect
118. #4983C22semidirect
119. #4981C22semidirect
120. #4980C22semidirect
121. #4980C22semidirect
122. #4979C22semidirect
123. #4978C22semidirect
124. #4978C22semidirect
125. #4976C22semidirect
126. #4976C22semidirect
127. #4973C22semidirect
146. #4940C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
154. #4674C22semidirect
158. #4672C22semidirect
159. #4671C22semidirect
160. #4670C22semidirect
162. #4668C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
179. #4664C22semidirect
182. D3×#95C22semidirect
183. #4660C22semidirect
184. #4658C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4652C22semidirect
188. #4652C22semidirect
189. #4649C22semidirect
193. #2704D3semidirect
365. #894D4semidirect
426. C2×#125C2×D3semidirect
471. #398C2×D3semidirect
472. #398C2×D3semidirect
473. #398C2×D3semidirect
485. #395C2×D3semidirect
504. #391C2×D3semidirect
510. #389C2×D3semidirect
511. #389C2×D3semidirect
1679. C3#37666semidirect

Maximal subgroups

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

subgroupindex
C2×#56922
C2×#56272
C3×#27042
#830592
#827972
#779672
#779632
#779622
#779502
#779482
#777552
#774202
#774162
#772912
#772502
#772142
#766132
#765652
#762572
#762192
#762042
#761962
#758592
#758522
#758452
#755262
#746562
#745152
D3×#3802
#739662
#376663