Finite Group Databasebeta

← #11024035

Subgroups — #11024035

Order 768.

3250 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5676C211yesmaximal, characteristic, complemented
2C2×D3×#123C211yesmaximal, characteristic, complemented
3C2×#5627C211yesmaximal, characteristic, complemented
4C2×#5605C211yesmaximal, characteristic, complemented
5C3×#2672C211yesmaximal, characteristic, complemented
6#83004C211yesmaximal, characteristic, complemented
7#82905C211yesmaximal, characteristic, complemented
8#82828C211yesmaximal, characteristic, complemented
9#82658C211yesmaximal, characteristic, complemented
10#78101C211yesmaximal, characteristic, complemented
11#78030C211yesmaximal, characteristic, complemented
12#77430C211yesmaximal, characteristic, complemented
13#77415C211yesmaximal, characteristic, complemented
14#77262C211yesmaximal, characteristic, complemented
15#77249C211yesmaximal, characteristic, complemented
16#77123C211yesmaximal, characteristic, complemented
17#77122C211yesmaximal, characteristic, complemented
18#77112C211yesmaximal, characteristic, complemented
19#77106C211yesmaximal, characteristic, complemented
20#76917C211yesmaximal, characteristic, complemented
21#76900C211yesmaximal, characteristic, complemented
22#76231C211yesmaximal, characteristic, complemented
23#76226C211yesmaximal, characteristic, complemented
24#75850C211yesmaximal, characteristic, complemented
25#75827C211yesmaximal, characteristic, complemented
26#74936C211yesmaximal, characteristic, complemented
27#74917C211yesmaximal, characteristic, complemented
28#74628C211yesmaximal, characteristic, complemented
29#74595C211yesmaximal, characteristic, complemented
30#74018C211yesmaximal, characteristic, complemented
31#73893C211yesmaximal, characteristic, complemented
32#37654—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×C22⋊Q8C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic
41C2×#946C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#935C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×#929C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53#5676—28no—
54D3×#123—28no—
55#5627—28no—
56#5605—28no—
57C2×#895C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#893C2211yescharacteristic, complemented
66C2×#893C2211yescharacteristic, complemented
67C2×#892C2211yescharacteristic, complemented
68C2×D3×C4⋊C4C2211yescharacteristic, complemented
69C2×D3×C4⋊C4C2211yescharacteristic, complemented
70C2×#886C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic
74C2×#883C2211yescharacteristic
75C2×#883C2211yescharacteristic
76C2×#883C2211yescharacteristic
77C2×#883C2211yescharacteristic, complemented
78C2×#883C2211yescharacteristic, complemented
79C2×#883C2211yescharacteristic, complemented
80C2×#882C2211yescharacteristic
81C2×#882C2211yescharacteristic
82C2×#882C2211yescharacteristic
83C2×#882C2211yescharacteristic, complemented
84C2×#882C2211yescharacteristic, complemented
85C2×#67⋊C4C2211yescharacteristic, complemented
86C2×#67⋊C4C2211yescharacteristic, complemented
87C2×D3×C22⋊C4C2211yescharacteristic
88C2×D3×C22⋊C4C2211yescharacteristic
89C2×D3×C22⋊C4C2211yescharacteristic, complemented
90C2×D3×C22⋊C4C2211yescharacteristic, complemented
91C2×C4×D12C2211yescharacteristic
92C2×C4×D12C2211yescharacteristic, complemented
93C3×#399C2211yescharacteristic, complemented
94C3×#396C2211yescharacteristic, complemented
95C3×#395C2211yescharacteristic, complemented
96C3×#394C2211yescharacteristic, complemented
97C3×#394C2211yescharacteristic, complemented
98C3×#394C2211yescharacteristic, complemented
99C3×#389C2211yescharacteristic, complemented
100C3×#388C2211yescharacteristic, complemented
101C3×#386C2211yescharacteristic, complemented
102C3×#385C2211yescharacteristic, complemented
103C3×#380C2211yescharacteristic, complemented
104#5230C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5223C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5213C2211yescharacteristic, complemented
110#5210C2211yescharacteristic, complemented
111C4×#217C2211yescharacteristic, complemented
112#4993C2211yescharacteristic, complemented
113#4992C2211yescharacteristic, complemented
114#4991C2211yescharacteristic
115#4991C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4990C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4989C2211yescharacteristic, complemented
122#4989C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4988C2211yescharacteristic, complemented
125#4987C2211yescharacteristic, complemented
126#4987C2211yescharacteristic, complemented
127#4987C2211yescharacteristic, complemented
128#4984C2211yescharacteristic, complemented
129#4982C2211yescharacteristic, complemented
130#4982C2211yescharacteristic, complemented
131#4982C2211yescharacteristic, complemented
132#4981C2211yescharacteristic, complemented
133#4975C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135#4961C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic, complemented
140#4960C2211yescharacteristic, complemented
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4955C2211yescharacteristic
153#4955C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4955C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4950C2211yescharacteristic, complemented
160#4950C2211yescharacteristic, complemented
161#4949C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166#4940C2211yescharacteristic, complemented
167#4928C2211yescharacteristic, complemented
168#4677C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4675C2211yescharacteristic, complemented
171#4675C2211yescharacteristic, complemented
172#4675C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4671C2211yescharacteristic
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4666C2211yescharacteristic, complemented
185#4665C2211yescharacteristic
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190#4664C2211yescharacteristic, complemented
191#4647C2211yescharacteristic, complemented
192C2×#546—31no—
193C2×#534—31no—
194C2×#525—31no—
195C22×#123—31no—
196#2849—31no—
197#2680—31no—
198#2680—31no—
199#2678—31no—
200#2678—31no—
201#2672—31no—
202#2672D311yescharacteristic, complemented
203#2671—31no—
204#2671—31no—
205#2617—31no—
206#2613—31no—
207#2501—31no—
208#2486—31no—
209#2464—31no—
210#2464—31no—
211#2455—31no—
212#2455—31no—
213#2422—31no—
214#2422—31no—
215#2418—31no—
216#2418—31no—
217#2413—31no—
218#2412—31no—
219#2406—31no—
220#2405—31no—
221#2342—31no—
222#2321—31no—
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#239—24no—
244C2×#239—24no—
245C2×#239—42no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—24no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×C4×D3—24no—
260C22×C4×D3—24no—
261C22×C4×D3—42no—
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C3×#124—24no—
274C3×#123—24no—
275C3×C22⋊Q8—24no—
276C3×#121—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#946—24no—
311#946—24no—
312#939—24no—
313#939—24no—
314#938—24no—
315#937—24no—
316#937—24no—
317#935—24no—
318#930—24no—
319#930—24no—
320#929—24no—
321C2×(C2×D3)⋊C4—24no—
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×(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×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#895—24no—
383#894—24no—
384#894—24no—
385#894—24no—
386#894—24no—
387#894—24no—
388#894—24no—
389#894—42no—
390#893—24no—
391#893—24no—
392#892—24no—
393D3×C4⋊C4—24no—
394D3×C4⋊C4—24no—
395#886—24no—
396#884—24no—
397#884—24no—
398#883—24no—
399#883—24no—
400#883—24no—
401#883—24no—
402#883—24no—
403#883—24no—
404#883—42no—
405#882—24no—
406#882—24no—
407#882—24no—
408#882—24no—
409#882D418yescomplemented
410#67⋊C4—24no—
411#67⋊C4—24no—
412D3×C22⋊C4—24no—
413D3×C22⋊C4—24no—
414D3×C22⋊C4—24no—
415D3×C22⋊C4D418yescomplemented
416C4×D12—24no—
417C4×D12—24no—
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3×#95C2311yescharacteristic
423C3×#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C23×D4—31no—
444C23×D4—31no—
445C24×C4—31no—
446#546—68no—
447#534—68no—
448C2×#124C2×D311yescharacteristic, complemented
449#525—68no—
450C2×#123—31no—
451C2×#123—31no—
452C2×#123—31no—
453C2×#123—31no—
454C2×#123—31no—
455C2×#123—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—68no—
468C2×#123C2×D311yescharacteristic, complemented
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8C2×D311yescharacteristic, complemented
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121C2×D311yescharacteristic
481C2×#120—31no—
482C2×#120—31no—
483C2×#120—31no—
484C2×#120—31no—
485C2×#120—31no—
486C2×#120—31no—
487C2×#120—31no—
488C2×C4×D4—31no—
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×#117—31no—
495C22×C4⋊C4—31no—
496C22×C4⋊C4—31no—
497C22×C22⋊C4—31no—
498C22×C22⋊C4—31no—
499C22×C22⋊C4—31no—
500C22×C22⋊C4—31no—
501C22×C22⋊C4—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399C2×D311yescharacteristic, complemented
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#397—31no—
511#397—31no—
512#397—31no—
513#397—31no—
514#397—31no—
515#397—31no—
516#396—31no—
517#396C2×D311yescharacteristic, complemented
518#395—31no—
519#395C2×D311yescharacteristic, complemented
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394C2×D311yescharacteristic, complemented
534#394C2×D311yescharacteristic, complemented
535#394C2×D311yescharacteristic, complemented
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#389—31no—
547#389—31no—
548#389—31no—
549#389C2×D311yescharacteristic, complemented
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388C2×D311yescharacteristic, complemented
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386C2×D311yescharacteristic, complemented
571#385—31no—
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385C2×D311yescharacteristic, complemented
584#384—31no—
585#384—31no—
586#381—31no—
587#381—31no—
588#381—31no—
589#380—31no—
590#380—31no—
591#380—31no—
592#380—31no—
593#380C2×D311yescharacteristic, complemented
594#379—31no—
595#379—31no—
596#379—31no—
597#379—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3C2×D414yes—
624C23×D3C2×D414yes—
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C2×C3×Q8—22no—
631C2×C3×Q8—22no—
632C2×C3×Q8—41no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67C2×D414yes—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704#239—416no—
705D3×D4—416no—
706D3×D4—416no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12C2×D414yes—
727C2×D12C2×D414yes—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—416no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3C2×D414yes—
761C2×C4×D3C2×D414yes—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—41no—
769C3×C4⋊C4—41no—
770C3×C4⋊C4—41no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4C2×D414yes—
783C3×C22⋊C4C2×D414yes—
784C3×C42—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217C2×D414yes—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4C2×D414yes—
827(C2×D3)⋊C4C2×D414yes—
828(C2×D3)⋊C4C2×D414yes—
829(C2×D3)⋊C4C2×D414yes—
830C4⋊Dic3—22no—
831C4⋊Dic3—22no—
832C4⋊Dic3—22no—
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835C4⋊Dic3—22no—
836C4⋊Dic3—41no—
837C4⋊Dic3—41no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851C4×Dic3—22no—
852C4×Dic3—22no—
853C4×Dic3—41no—
854C4×Dic3—41no—
855C25—31no—
856C25—31no—
857C25—31no—
858C2×#41—64no—
859C2×#41—64no—
860C2×#41—122no—
861C22×Q8C22×D311yescharacteristic
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—64no—
879C22×D4—64no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—122no—
883C22×D4—122no—
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—64no—
901C23×C4—64no—
902C23×C4—122no—
903C23×C4C22×D311yescharacteristic
904C23×C4C22×D311yescharacteristic
905#124—24no—
906#123—24no—
907#123—64no—
908#123—64no—
909#123—64no—
910#123—64no—
911#123—64no—
912#123—64no—
913#123—64no—
914#123—64no—
915#123—64no—
916#123—64no—
917#123—64no—
918#123—64no—
919#123—64no—
920#123—64no—
921#123—64no—
922#123—122no—
923#123—122no—
924C22⋊Q8—24no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927#121—24no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#120—38no—
937#120—64no—
938#120—64no—
939#120—64no—
940#120—64no—
941#120—64no—
942#120—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C4×D4—64no—
947C4×D4—64no—
948C4×D4—64no—
949#117—64no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—64no—
972C2×C4⋊C4—64no—
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C4⋊C4C22×D311yescharacteristic
976C2×C4⋊C4C22×D311yescharacteristic
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C4⋊C4C22×D311yescharacteristic
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—38no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—64no—
1029C2×C22⋊C4—64no—
1030C2×C22⋊C4—64no—
1031C2×C22⋊C4—64no—
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—31no—
1048C2×C42—31no—
1049C2×C42C22×D311yescharacteristic
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95C22×D311yescharacteristic
1069#95C22×D311yescharacteristic
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3C22×D412yes—
1094C23×C3C22×D412yes—
1095C23×C3C2511yescharacteristic
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—28no—
1119C22×D3—28no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3C22×D412yes—
1147C22×D3C22×D412yes—
1148C22×D3C22×D412yes—
1149C22×D3C22×D412yes—
1150C22×D3C22×D412yes—
1151C22×D3H(5,𝔽2)12yes—
1152C3×Q8—44no—
1153C3×D4—44no—
1154C3×D4—44no—
1155C3×D4—82no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—44no—
1189C2×C3×C4—82no—
1190C2×C3×C4C22×D412yes—
1191C2×C3×C4C22×D412yes—
1192C2×C3×C4C22×D412yes—
1193C2×C3×C4C22×D412yes—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—44no—
1200#67—82no—
1201#67—82no—
1202#67—82no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—44no—
1234C2×Dic3—82no—
1235C2×Dic3C22×D412yes—
1236C2×Dic3C22×D412yes—
1237C2×Dic3C22×D412yes—
1238D12—28no—
1239D12—44no—
1240D12—44no—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245C4×D3—28no—
1246C4×D3—44no—
1247C4×D3—44no—
1248C4×D3—44no—
1249C4×D3—44no—
1250C4×D3—44no—
1251C4×D3—44no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—82no—
1256C24—31no—
1257C24—31no—
1258C24—31no—
1259C24—31no—
1260C24—34no—
1261C24—34no—
1262C24—31no—
1263C24—62no—
1264C24—62no—
1265C24—62no—
1266C24—62no—
1267C24—62no—
1268C24—62no—
1269C24—121no—
1270C24—121no—
1271C24—121no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285#41—1216no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—41no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—34no—
1295C2×D4—34no—
1296C2×D4—34no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—1216no—
1347C2×D4—1216no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—31no—
1354C22×C4—34no—
1355C22×C4—34no—
1356C22×C4—31no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—62no—
1368C22×C4—62no—
1369C22×C4—62no—
1370C22×C4—62no—
1371C22×C4—62no—
1372C22×C4—62no—
1373C22×C4—62no—
1374C22×C4—62no—
1375C22×C4—62no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—1216no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4—121no—
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C22×C4C23×D311yescharacteristic
1416C22×C4C23×D311yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—62no—
1430C4⋊C4—62no—
1431C4⋊C4—62no—
1432C4⋊C4—62no—
1433C4⋊C4—62no—
1434C4⋊C4—62no—
1435C4⋊C4—62no—
1436C4⋊C4—62no—
1437C4⋊C4—62no—
1438C4⋊C4—62no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
1441C4⋊C4—62no—
1442C4⋊C4—121no—
1443C4⋊C4—121no—
1444C4⋊C4—121no—
1445C4⋊C4—121no—
1446C4⋊C4—121no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—34no—
1455C22⋊C4—34no—
1456C22⋊C4—34no—
1457C22⋊C4—34no—
1458C22⋊C4—34no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4D3×D414yes—
1504C22⋊C4D3×D414yes—
1505C42—22no—
1506C42—62no—
1507C42—62no—
1508C42—121no—
1509C42—121no—
1510C22×C3—22no—
1511C22×C3—22no—
1512C22×C3—22no—
1513C22×C3—22no—
1514C22×C3—22no—
1515C22×C3—22no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3C23×D411yescharacteristic
1532C22×C3C23×D411yescharacteristic
1533C22×C3C2×H(5,𝔽2)11yescharacteristic
1534C22×C3#58511yescharacteristic
1535C22×C3#58511yescharacteristic
1536C22×C3#58511yescharacteristic
1537C22×C3#58511yescharacteristic
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
1546C2×D3—22no—
1547C2×D3—22no—
1548C2×D3—22no—
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—22no—
1552C2×D3—22no—
1553C2×D3—416no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—88no—
1574C2×D3—88no—
1575C2×D3D4214yes—
1576C3×C4—22no—
1577C3×C4—22no—
1578C3×C4—22no—
1579C3×C4—22no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587C3×C4—41no—
1588Dic3—22no—
1589Dic3—22no—
1590Dic3—22no—
1591Dic3—41no—
1592Dic3—41no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597Dic3—41no—
1598Dic3—41no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—32no—
1619C23—32no—
1620C23—32no—
1621C23—32no—
1622C23—32no—
1623C23—32no—
1624C23—68no—
1625C23—68no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—124no—
1656C23—124no—
1657C23—124no—
1658C23—124no—
1659C23—124no—
1660C23—124no—
1661C23—124no—
1662C23—124no—
1663C23—124no—
1664C23—124no—
1665C23—242no—
1666C23—242no—
1667C23—242no—
1668C23—242no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23C2×D3×D412yes—
1675C23C2×D3×D412yes—
1676C23C24×D311yescharacteristic
1677Q8—44no—
1678D4—44no—
1679D4—44no—
1680D4—68no—
1681D4—82no—
1682D4—124no—
1683D4—124no—
1684D4—124no—
1685D4—124no—
1686D4—124no—
1687D4—124no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—32no—
1730C2×C4—32no—
1731C2×C4—32no—
1732C2×C4—44no—
1733C2×C4—68no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—82no—
1765C2×C4—124no—
1766C2×C4—124no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—124no—
1770C2×C4—124no—
1771C2×C4—124no—
1772C2×C4—124no—
1773C2×C4—124no—
1774C2×C4—124no—
1775C2×C4—242no—
1776C2×C4—242no—
1777C2×C4C2×D3×D412yes—
1778C2×C4C2×D3×D412yes—
1779C2×C4C2×D3×D412yes—
1780C2×C4C2×D3×D412yes—
1781C2×C3—42no—
1782C2×C3—42no—
1783C2×C3—81no—
1784C2×C3#344911yescharacteristic
1785C2×C3C2×D4211yescharacteristic
1786C2×C3#348511yescharacteristic
1787C2×C3#348511yescharacteristic
1788C2×C3#348511yescharacteristic
1789C2×C3#353311yescharacteristic
1790C2×C3#353311yescharacteristic
1791D3—24no—
1792D3—42no—
1793D3—42no—
1794D3—42no—
1795D3—81no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—34no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—62no—
1819C22—62no—
1820C22—62no—
1821C22—62no—
1822C22—62no—
1823C22—62no—
1824C22—62no—
1825C22—62no—
1826C22—62no—
1827C22—62no—
1828C22—62no—
1829C22—62no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—1216no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—248no—
1854C22—248no—
1855C22C22×D3×D411yescharacteristic
1856C22C22×D3×D411yescharacteristic
1857C22#596411yescharacteristic
1858C22D3×H(5,𝔽2)11yescharacteristic
1859C22#596611yescharacteristic
1860C22#596811yescharacteristic
1861C22#596811yescharacteristic
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—22no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—62no—
1875C4—62no—
1876C4—62no—
1877C4—121no—
1878C4—121no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C3#3765411yescharacteristic, complemented, Sylow
1886C2—42no—
1887C2—42no—
1888C2—64no—
1889C2—81no—
1890C2—122no—
1891C2—122no—
1892C2—122no—
1893C2—241no—
1894C2#8635411yescharacteristic
1895C2#8636311yescharacteristic
1896C2#8655911yescharacteristic
1897C2D3×D4211yescharacteristic
1898C2#8666311yescharacteristic
1899C2#8670011yescharacteristic
1900C2#8710811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2672C2
hypercenter#2672D3
hypocenterC3#37654
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#5676C2semidirect
2. C2×D3×#123C2semidirect
3. C2×#5627C2semidirect
4. C2×#5605C2semidirect
5. C3×#2672C2semidirect
6. #83004C2semidirect
7. #82905C2semidirect
8. #82828C2semidirect
9. #82658C2semidirect
10. #78101C2semidirect
11. #78030C2semidirect
12. #77430C2semidirect
13. #77415C2semidirect
14. #77262C2semidirect
15. #77249C2semidirect
16. #77123C2semidirect
17. #77122C2semidirect
18. #77112C2semidirect
19. #77106C2semidirect
20. #76917C2semidirect
21. #76900C2semidirect
22. #76231C2semidirect
23. #76226C2semidirect
24. #75850C2semidirect
25. #75827C2semidirect
26. #74936C2semidirect
27. #74917C2semidirect
28. #74628C2semidirect
29. #74595C2semidirect
30. #74018C2semidirect
31. #73893C2semidirect
36. C23×C4×D3C22semidirect
37. C2×C3×#124C22semidirect
38. C2×C3×#123C22semidirect
39. C2×C3×C22⋊Q8C22semidirect
41. C2×#946C22semidirect
42. C2×#946C22semidirect
45. C2×#938C22semidirect
48. C2×#935C22semidirect
50. C2×#930C22semidirect
57. C2×#895C22semidirect
63. C2×#894C22semidirect
64. C2×#894C22semidirect
65. C2×#893C22semidirect
66. C2×#893C22semidirect
67. C2×#892C22semidirect
68. C2×D3×C4⋊C4C22semidirect
69. C2×D3×C4⋊C4C22semidirect
72. C2×#884C22semidirect
77. C2×#883C22semidirect
78. C2×#883C22semidirect
79. C2×#883C22semidirect
83. C2×#882C22semidirect
84. C2×#882C22semidirect
85. C2×#67⋊C4C22semidirect
86. C2×#67⋊C4C22semidirect
89. C2×D3×C22⋊C4C22semidirect
90. C2×D3×C22⋊C4C22semidirect
92. C2×C4×D12C22semidirect
93. C3×#399C22semidirect
94. C3×#396C22semidirect
95. C3×#395C22semidirect
96. C3×#394C22semidirect
97. C3×#394C22semidirect
98. C3×#394C22semidirect
99. C3×#389C22semidirect
100. C3×#388C22semidirect
101. C3×#386C22semidirect
102. C3×#385C22semidirect
103. C3×#380C22semidirect
104. #5230C22semidirect
105. #5223C22semidirect
106. #5223C22semidirect
107. #5222C22semidirect
108. #5220C22semidirect
109. #5213C22semidirect
110. #5210C22semidirect
111. C4×#217C22semidirect
112. #4993C22semidirect
113. #4992C22semidirect
115. #4991C22semidirect
116. #4991C22semidirect
117. #4991C22semidirect
118. #4990C22semidirect
119. #4990C22semidirect
120. #4989C22semidirect
121. #4989C22semidirect
122. #4989C22semidirect
123. #4989C22semidirect
124. #4988C22semidirect
125. #4987C22semidirect
126. #4987C22semidirect
127. #4987C22semidirect
128. #4984C22semidirect
129. #4982C22semidirect
130. #4982C22semidirect
131. #4982C22semidirect
132. #4981C22semidirect
133. #4975C22semidirect
134. #4975C22semidirect
135. #4961C22semidirect
136. #4961C22semidirect
137. #4961C22semidirect
139. #4960C22semidirect
140. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4958C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
153. #4955C22semidirect
154. #4955C22semidirect
155. #4955C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
159. #4950C22semidirect
160. #4950C22semidirect
161. #4949C22semidirect
162. #4948C22semidirect
163. #4944C22semidirect
164. #4942C22semidirect
165. Dic3×C22⋊C4C22semidirect
166. #4940C22semidirect
167. #4928C22semidirect
168. #4677C22semidirect
169. #4675C22semidirect
170. #4675C22semidirect
171. #4675C22semidirect
172. #4675C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4668C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4666C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. #4664C22semidirect
189. #4664C22semidirect
190. #4664C22semidirect
191. #4647C22semidirect
202. #2672D3semidirect
409. #882D4semidirect
415. D3×C22⋊C4D4semidirect
448. C2×#124C2×D3semidirect
468. C2×#123C2×D3semidirect
471. C2×C22⋊Q8C2×D3semidirect
505. #399C2×D3semidirect
517. #396C2×D3semidirect
519. #395C2×D3semidirect
533. #394C2×D3semidirect
534. #394C2×D3semidirect
535. #394C2×D3semidirect
549. #389C2×D3semidirect
559. #388C2×D3semidirect
570. #386C2×D3semidirect
583. #385C2×D3semidirect
593. #380C2×D3semidirect
1885. C3#37654semidirect

Maximal subgroups

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

subgroupindex
C2×#56762
C2×D3×#1232
C2×#56272
C2×#56052
C3×#26722
#830042
#829052
#828282
#826582
#781012
#780302
#774302
#774152
#772622
#772492
#771232
#771222
#771122
#771062
#769172
#769002
#762312
#762262
#758502
#758272
#749362
#749172
#746282
#745952
#740182
#738932
#376543