Finite Group Databasebeta

← #11023916

Subgroups — #11023916

Order 768.

3222 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5633C211yesmaximal, characteristic, complemented
2C2×#5629C211yesmaximal, characteristic, complemented
3C2×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×#5627C211yesmaximal, characteristic, complemented
5C3×#2683C211yesmaximal, characteristic, complemented
6#82829C211yesmaximal, characteristic, complemented
7#82827C211yesmaximal, characteristic, complemented
8#82817C211yesmaximal, characteristic, complemented
9#82793C211yesmaximal, characteristic, complemented
10#77426C211yesmaximal, characteristic, complemented
11#77416C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic, complemented
13#77331C211yesmaximal, characteristic, complemented
14#77314C211yesmaximal, characteristic, complemented
15#77285C211yesmaximal, characteristic, complemented
16#77284C211yesmaximal, characteristic, complemented
17#77284C211yesmaximal, characteristic, complemented
18#77259C211yesmaximal, characteristic, complemented
19#77252C211yesmaximal, characteristic, complemented
20#77201C211yesmaximal, characteristic, complemented
21#77172C211yesmaximal, characteristic, complemented
22#76442C211yesmaximal, characteristic, complemented
23#76347C211yesmaximal, characteristic, complemented
24#76259C211yesmaximal, characteristic, complemented
25#76211C211yesmaximal, characteristic, complemented
26#76202C211yesmaximal, characteristic, complemented
27#75971C211yesmaximal, characteristic, complemented
28#74935C211yesmaximal, characteristic, complemented
29#74916C211yesmaximal, characteristic, complemented
30#74894C211yesmaximal, characteristic, complemented
31#74688C211yesmaximal, characteristic, complemented
32#37649—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×Q8C2211yescharacteristic
35C22×#235C2211yescharacteristic, complemented
36C23×C4×D3C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic, complemented
40C2×C3×C22⋊Q8C2211yescharacteristic, complemented
41C2×#947C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×#924C2211yescharacteristic
51#5633—28no—
52#5629—28no—
53#5627—28no—
54D3×C22⋊Q8—28no—
55C2×#897C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#896C2211yescharacteristic, complemented
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic
65C2×#895C2211yescharacteristic
66C2×#895C2211yescharacteristic
67C2×#895C2211yescharacteristic, complemented
68C2×#894C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#893C2211yescharacteristic
71C2×#893C2211yescharacteristic
72C2×#893C2211yescharacteristic
73C2×#893C2211yescharacteristic
74C2×#892C2211yescharacteristic
75C2×D3×C4⋊C4C2211yescharacteristic
76C2×D3×C4⋊C4C2211yescharacteristic
77C2×D3×C4⋊C4C2211yescharacteristic
78C2×D3×C4⋊C4C2211yescharacteristic, complemented
79C2×#887C2211yescharacteristic, complemented
80C2×#885C2211yescharacteristic, complemented
81C2×#885C2211yescharacteristic, complemented
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#884C2211yescharacteristic, complemented
88C2×#884C2211yescharacteristic, complemented
89C2×#882C2211yescharacteristic
90C2×#882C2211yescharacteristic
91C2×#882C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×D3×C22⋊C4C2211yescharacteristic
95C2×D3×C22⋊C4C2211yescharacteristic
96C2×#878C2211yescharacteristic
97C2×#878C2211yescharacteristic
98C2×C4×D12C2211yescharacteristic
99C3×#396C2211yescharacteristic
100C3×#396C2211yescharacteristic
101C3×#396C2211yescharacteristic, complemented
102C3×#396C2211yescharacteristic, complemented
103C3×#395C2211yescharacteristic, complemented
104C3×#395C2211yescharacteristic, complemented
105C3×#390C2211yescharacteristic
106C3×#389C2211yescharacteristic, complemented
107C3×#389C2211yescharacteristic, complemented
108C3×#386C2211yescharacteristic
109C3×#386C2211yescharacteristic
110#5231C2211yescharacteristic, complemented
111#5230C2211yescharacteristic, complemented
112#5223C2211yescharacteristic
113#5223C2211yescharacteristic
114#5213C2211yescharacteristic
115#5210C2211yescharacteristic, complemented
116#4994C2211yescharacteristic, complemented
117#4994C2211yescharacteristic, complemented
118#4994C2211yescharacteristic, complemented
119#4994C2211yescharacteristic, complemented
120#4994C2211yescharacteristic, complemented
121#4993C2211yescharacteristic, complemented
122#4991C2211yescharacteristic
123#4991C2211yescharacteristic
124#4991C2211yescharacteristic
125#4991C2211yescharacteristic, complemented
126#4991C2211yescharacteristic, complemented
127#4990C2211yescharacteristic
128#4990C2211yescharacteristic
129#4989C2211yescharacteristic
130#4989C2211yescharacteristic
131#4989C2211yescharacteristic
132#4989C2211yescharacteristic, complemented
133#4987C2211yescharacteristic, complemented
134#4984C2211yescharacteristic, complemented
135#4982C2211yescharacteristic, complemented
136#4981C2211yescharacteristic, complemented
137#4980C2211yescharacteristic, complemented
138#4979C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142#4975C2211yescharacteristic, complemented
143#4961C2211yescharacteristic
144#4961C2211yescharacteristic, complemented
145#4961C2211yescharacteristic, complemented
146#4960C2211yescharacteristic
147#4960C2211yescharacteristic
148#4959C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic, complemented
153#4957C2211yescharacteristic, complemented
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic
158#4956C2211yescharacteristic
159#4956C2211yescharacteristic
160#4949C2211yescharacteristic, complemented
161#4948C2211yescharacteristic
162#4948C2211yescharacteristic
163#4948C2211yescharacteristic, complemented
164#4942C2211yescharacteristic
165#4940C2211yescharacteristic
166#4939C2211yescharacteristic, complemented
167C4×Dic3⋊C4C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic
170#4672C2211yescharacteristic
171#4672C2211yescharacteristic
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4669C2211yescharacteristic
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic
179#4667C2211yescharacteristic
180#4667C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4667C2211yescharacteristic, complemented
183#4665C2211yescharacteristic
184#4665C2211yescharacteristic
185#4665C2211yescharacteristic
186#4665C2211yescharacteristic
187#4665C2211yescharacteristic
188#4655C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×#548—31no—
193C2×#537—31no—
194C2×#525—31no—
195C22×C22⋊Q8—31no—
196#2847—31no—
197#2683—31no—
198#2683D311yescharacteristic, complemented
199#2681—31no—
200#2681—31no—
201#2676—31no—
202#2676—31no—
203#2672—31no—
204#2672—31no—
205#2620—31no—
206#2616—31no—
207#2540—31no—
208#2538—31no—
209#2449—31no—
210#2449—31no—
211#2424—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2417—31no—
216#2416—31no—
217#2416—31no—
218#2416—31no—
219#2409—31no—
220#2407—31no—
221D4×C4⋊C4—31no—
222#2323—31no—
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×#239—24no—
239C2×#239—24no—
240C2×#239—42no—
241C2×D3×Q8—24no—
242C2×D3×Q8—24no—
243C2×D3×Q8—42no—
244C2×#235—24no—
245C2×#235—24no—
246C2×#235—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
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×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C22×Dic6C2311yescharacteristic
275C3×C22⋊Q8—24no—
276C3×C22⋊Q8—24no—
277C3×C22⋊Q8—24no—
278C3×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#947—24no—
310#946—24no—
311#946—24no—
312#946—24no—
313#939—42no—
314#937—42no—
315#930—24no—
316#930—24no—
317C4×#67—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358#924—24no—
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#897—24no—
383#896—24no—
384#896—24no—
385#896—24no—
386#896—24no—
387#896—42no—
388#896D418yescomplemented
389#895—24no—
390#895—24no—
391#895—24no—
392#895—24no—
393#895—24no—
394#895—42no—
395#894—24no—
396#894—24no—
397#893—24no—
398#893—24no—
399#893—42no—
400#893D418yescomplemented
401#892—24no—
402D3×C4⋊C4—24no—
403D3×C4⋊C4—24no—
404D3×C4⋊C4—24no—
405D3×C4⋊C4—24no—
406#887—24no—
407#885—24no—
408#885—24no—
409#884—24no—
410#884—24no—
411#884—24no—
412#884—24no—
413#884—24no—
414#884—24no—
415#884—42no—
416#882—24no—
417#882—24no—
418#882—42no—
419#67⋊C4—24no—
420#67⋊C4—24no—
421D3×C22⋊C4—24no—
422D3×C22⋊C4—24no—
423#878—24no—
424#878—24no—
425C4×D12—42no—
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
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C22×#41—31no—
449C22×#41—31no—
450C23×Q8—31no—
451C24×C4—31no—
452#548—68no—
453#537—68no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#124—31no—
457#525—68no—
458C2×#123—31no—
459C2×#123—31no—
460C2×C22⋊Q8—31no—
461C2×C22⋊Q8—31no—
462C2×C22⋊Q8—31no—
463C2×C22⋊Q8—31no—
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—68no—
474C2×C22⋊Q8C2×D311yescharacteristic
475C2×C22⋊Q8C2×D311yescharacteristic
476C2×C22⋊Q8C2×D311yescharacteristic, complemented
477C2×C22⋊Q8C2×D311yescharacteristic, complemented
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—31no—
494C2×#120—31no—
495C2×#120—31no—
496C2×#120—31no—
497C2×#120—31no—
498C2×C4×Q8—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C2×C4×D4—31no—
502C2×C4×D4—31no—
503C2×C4×D4—31no—
504C2×C4×D4—31no—
505C2×C4×D4—31no—
506C2×C4×D4—31no—
507C2×#117—31no—
508C22×C4⋊C4—31no—
509C22×C4⋊C4—31no—
510C22×C4⋊C4—31no—
511C22×C4⋊C4—31no—
512C22×C22⋊C4—31no—
513C22×C22⋊C4—31no—
514#399—31no—
515#399—31no—
516#398—31no—
517#398—31no—
518#396—31no—
519#396—31no—
520#396—31no—
521#396—31no—
522#396—31no—
523#396—31no—
524#396—31no—
525#396—31no—
526#396C2×D311yescharacteristic
527#396C2×D311yescharacteristic
528#396C2×D311yescharacteristic, complemented
529#396C2×D311yescharacteristic, complemented
530#395—31no—
531#395—31no—
532#395C2×D311yescharacteristic, complemented
533#395C2×D311yescharacteristic, complemented
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#394—31no—
539#394—31no—
540#394—31no—
541#394—31no—
542#394—31no—
543#394—31no—
544#394—31no—
545#394—31no—
546#394—31no—
547#394—31no—
548#393—31no—
549#393—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392—31no—
554#391—31no—
555#391—31no—
556#390—31no—
557#390—31no—
558#390—31no—
559#390—31no—
560#390—31no—
561#390—31no—
562#390C2×D311yescharacteristic
563#389—31no—
564#389—31no—
565#389—31no—
566#389—31no—
567#389—31no—
568#389C2×D311yescharacteristic, complemented
569#389C2×D311yescharacteristic, complemented
570#388—31no—
571#388—31no—
572#388—31no—
573#388—31no—
574#387—31no—
575#387—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386C2×D311yescharacteristic
589#386C2×D311yescharacteristic
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385—31no—
595#385—31no—
596#385—31no—
597#385—31no—
598#384—31no—
599#380—31no—
600#380—31no—
601#380—31no—
602#380—31no—
603#380—31no—
604#380—31no—
605#380—31no—
606C4×C4⋊C4—31no—
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C2×C3×Q8—22no—
622C2×C3×Q8—22no—
623C2×C3×Q8—22no—
624C2×C3×Q8—22no—
625C2×C3×Q8—41no—
626C2×C3×Q8—41no—
627C2×C3×D4—22no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687#239—416no—
688D3×Q8—416no—
689#235—416no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12C2×D414yes—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
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—416no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3C2×D414yes—
755C2×C4×D3C2×D414yes—
756C2×C4×D3C2×D414yes—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—22no—
760C2×Dic6—22no—
761C2×Dic6—22no—
762C2×Dic6—22no—
763C2×Dic6—22no—
764C2×Dic6—41no—
765C2×Dic6C2×D414yes—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—41no—
775C3×C4⋊C4—41no—
776C3×C4⋊C4—41no—
777C3×C4⋊C4C2×D414yes—
778C3×C4⋊C4C2×D414yes—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C42—41no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—41no—
794#217—41no—
795#217—41no—
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—41no—
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—41no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
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—
851Dic3⋊C4—41no—
852Dic3⋊C4C2×D414yes—
853Dic3⋊C4C2×D414yes—
854C4×Dic3—22no—
855C4×Dic3—22no—
856C4×Dic3—22no—
857C4×Dic3—41no—
858C4×Dic3C2×D414yes—
859C25—31no—
860C2×#41—64no—
861C2×#41—64no—
862C2×#41—64no—
863C2×#41—64no—
864C2×#41—122no—
865C2×#41—122no—
866C22×Q8—31no—
867C22×Q8—31no—
868C22×Q8—31no—
869C22×Q8—64no—
870C22×Q8—64no—
871C22×Q8—122no—
872C22×Q8C22×D311yescharacteristic
873C22×Q8C22×D311yescharacteristic
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4C22×D311yescharacteristic
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—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—64no—
907C23×C4—64no—
908C23×C4—122no—
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911#124—64no—
912#124—64no—
913#124—64no—
914#123—64no—
915#123—64no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—24no—
920C22⋊Q8—38no—
921C22⋊Q8—64no—
922C22⋊Q8—64no—
923C22⋊Q8—64no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—64no—
929C22⋊Q8—64no—
930C22⋊Q8—64no—
931C22⋊Q8—64no—
932C22⋊Q8—122no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—64no—
937#121—64no—
938#121—64no—
939#121—64no—
940#121—64no—
941#121—64no—
942#121—64no—
943#121—64no—
944#121—64no—
945#121—64no—
946#121—122no—
947#121—122no—
948#121—122no—
949#120—64no—
950#120—64no—
951#120—122no—
952#120—122no—
953C4×Q8—64no—
954C4×D4—38no—
955C4×D4—64no—
956C4×D4—64no—
957C4×D4—64no—
958C4×D4—64no—
959C4×D4—64no—
960C4×D4—122no—
961C4×D4—122no—
962#117—64no—
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—31no—
972C2×C4⋊C4—31no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—64no—
988C2×C4⋊C4—64no—
989C2×C4⋊C4—64no—
990C2×C4⋊C4—64no—
991C2×C4⋊C4C22×D311yescharacteristic
992C2×C4⋊C4C22×D311yescharacteristic
993C2×C4⋊C4C22×D311yescharacteristic
994C2×C4⋊C4C22×D311yescharacteristic
995C2×C4⋊C4C22×D311yescharacteristic
996C2×C4⋊C4C22×D311yescharacteristic
997C2×C4⋊C4C22×D311yescharacteristic
998C2×C4⋊C4C22×D311yescharacteristic
999C2×C4⋊C4C22×D311yescharacteristic
1000C2×C4⋊C4C22×D311yescharacteristic
1001C2×C4⋊C4C22×D311yescharacteristic
1002C2×C4⋊C4C22×D311yescharacteristic
1003C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—64no—
1045C2×C22⋊C4—64no—
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—31no—
1059C2×C42—31no—
1060C2×C42—31no—
1061C2×C42C22×D311yescharacteristic
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
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×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C32−1+412yes—
1098C23×C3C2511yescharacteristic
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—28no—
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—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3C22×D412yes—
1137C22×D3C22×D412yes—
1138C22×D3C22×D412yes—
1139C22×D3H(5,𝔽2)12yes—
1140C22×D32−1+412yes—
1141C3×Q8—44no—
1142C3×Q8—44no—
1143C3×D4—82no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
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—44no—
1178C2×C3×C4—44no—
1179C2×C3×C4C22×D412yes—
1180C2×C3×C4C22×D412yes—
1181C2×C3×C4C22×D412yes—
1182C2×C3×C4C22×D412yes—
1183C2×C3×C4C22×D412yes—
1184C2×C3×C4C22×D412yes—
1185#67—44no—
1186#67—44no—
1187#67—44no—
1188#67—44no—
1189#67—44no—
1190#67—82no—
1191#67—82no—
1192#67—82no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
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—44no—
1221C2×Dic3C22×D412yes—
1222C2×Dic3C22×D412yes—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C22×D412yes—
1226C2×Dic3H(5,𝔽2)12yes—
1227D12—28no—
1228D12—44no—
1229D12—44no—
1230D12—44no—
1231D12—44no—
1232D12—44no—
1233D12—44no—
1234D12—82no—
1235D12—82no—
1236C4×D3—28no—
1237C4×D3—28no—
1238C4×D3—28no—
1239C4×D3—44no—
1240C4×D3—44no—
1241C4×D3—44no—
1242C4×D3—44no—
1243C4×D3—44no—
1244C4×D3—44no—
1245C4×D3—44no—
1246C4×D3—44no—
1247C4×D3—82no—
1248C4×D3—82no—
1249Dic6—28no—
1250Dic6—44no—
1251Dic6—44no—
1252C24—31no—
1253C24—31no—
1254C24—31no—
1255C24—31no—
1256C24—31no—
1257C24—62no—
1258C24—62no—
1259C24—62no—
1260C24—62no—
1261C24—62no—
1262C24—121no—
1263C24—121no—
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267#41—1216no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—34no—
1273C2×Q8—41no—
1274C2×Q8—41no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—62no—
1282C2×Q8—121no—
1283C2×Q8—1216no—
1284C2×D4—22no—
1285C2×D4—34no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
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—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
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—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—31no—
1343C22×C4—31no—
1344C22×C4—31no—
1345C22×C4—31no—
1346C22×C4—34no—
1347C22×C4—34no—
1348C22×C4—34no—
1349C22×C4—31no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—31no—
1354C22×C4—31no—
1355C22×C4—31no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
1364C22×C4—62no—
1365C22×C4—62no—
1366C22×C4—62no—
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—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—1216no—
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—34no—
1420C4⋊C4—34no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
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—121no—
1442C4⋊C4—121no—
1443C4⋊C4—121no—
1444C4⋊C4—121no—
1445C4⋊C4—121no—
1446C4⋊C4D3×D414yes—
1447C4⋊C4D3×D414yes—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—34no—
1457C22⋊C4—34no—
1458C22⋊C4—34no—
1459C22⋊C4—34no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—62no—
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—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
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—
1498C42—34no—
1499C42—41no—
1500C42—62no—
1501C42—62no—
1502C42—62no—
1503C42—121no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3C23×D411yescharacteristic
1519C22×C3C23×D411yescharacteristic
1520C22×C3C2×H(5,𝔽2)11yescharacteristic
1521C22×C3C2×H(5,𝔽2)11yescharacteristic
1522C22×C3C2×2−1+411yescharacteristic
1523C22×C3C2×2−1+411yescharacteristic
1524C22×C3#58511yescharacteristic
1525C2×D3—22no—
1526C2×D3—22no—
1527C2×D3—22no—
1528C2×D3—22no—
1529C2×D3—22no—
1530C2×D3—22no—
1531C2×D3—22no—
1532C2×D3—22no—
1533C2×D3—22no—
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—416no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3#53714yescomplemented
1561C3×C4—22no—
1562C3×C4—22no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—22no—
1567C3×C4—41no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574Dic3—22no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—41no—
1578Dic3—41no—
1579Dic3—41no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3D4214yes—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—32no—
1599C23—32no—
1600C23—32no—
1601C23—32no—
1602C23—32no—
1603C23—68no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—124no—
1635C23—124no—
1636C23—124no—
1637C23—124no—
1638C23—124no—
1639C23—124no—
1640C23#100712yes—
1641C23C24×D311yescharacteristic
1642Q8—44no—
1643Q8—44no—
1644Q8—68no—
1645Q8—124no—
1646Q8—124no—
1647D4—68no—
1648D4—82no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—124no—
1660D4—242no—
1661D4—242no—
1662D4—242no—
1663D4—242no—
1664D4—242no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—32no—
1699C2×C4—32no—
1700C2×C4—32no—
1701C2×C4—32no—
1702C2×C4—32no—
1703C2×C4—32no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—68no—
1707C2×C4—68no—
1708C2×C4—68no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—124no—
1740C2×C4—124no—
1741C2×C4—124no—
1742C2×C4—124no—
1743C2×C4—124no—
1744C2×C4—124no—
1745C2×C4—242no—
1746C2×C4—242no—
1747C2×C4C2×D3×D412yes—
1748C2×C4C2×D3×D412yes—
1749C2×C4C2×D3×D412yes—
1750C2×C4C2×D3×D412yes—
1751C2×C4C2×D3×D412yes—
1752C2×C4C2×D3×D412yes—
1753C2×C3—42no—
1754C2×C3—81no—
1755C2×C3C2×#53711yescharacteristic
1756C2×C3C2×D4211yescharacteristic
1757C2×C3#348611yescharacteristic
1758C2×C3#348811yescharacteristic
1759C2×C3#348911yescharacteristic
1760C2×C3#353611yescharacteristic
1761C2×C3#354111yescharacteristic
1762D3—24no—
1763D3—42no—
1764D3—42no—
1765D3—81no—
1766D3—81no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—34no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—1216no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22C22×D3×D411yescharacteristic
1818C22C22×D3×D411yescharacteristic
1819C22C2×#100711yescharacteristic
1820C22D3×H(5,𝔽2)11yescharacteristic
1821C22D3×H(5,𝔽2)11yescharacteristic
1822C22D3×2−1+411yescharacteristic
1823C22#596811yescharacteristic
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—34no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—62no—
1839C4—62no—
1840C4—62no—
1841C4—121no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C3#3764911yescharacteristic, complemented, Sylow
1849C2—42no—
1850C2—64no—
1851C2—81no—
1852C2—122no—
1853C2—122no—
1854C2—241no—
1855C2—241no—
1856C2D3×#53711yescharacteristic
1857C2#8637911yescharacteristic
1858C2#8657511yescharacteristic
1859C2D3×D4211yescharacteristic
1860C2#8674511yescharacteristic
1861C2#8675911yescharacteristic
1862C2#8711811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2683C2
hypercenter#2683D3
hypocenterC3#37649
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#5633C2semidirect
2. C2×#5629C2semidirect
3. C2×D3×C22⋊Q8C2semidirect
4. C2×#5627C2semidirect
5. C3×#2683C2semidirect
6. #82829C2semidirect
7. #82827C2semidirect
8. #82817C2semidirect
9. #82793C2semidirect
10. #77426C2semidirect
11. #77416C2semidirect
12. #77416C2semidirect
13. #77331C2semidirect
14. #77314C2semidirect
15. #77285C2semidirect
16. #77284C2semidirect
17. #77284C2semidirect
18. #77259C2semidirect
19. #77252C2semidirect
20. #77201C2semidirect
21. #77172C2semidirect
22. #76442C2semidirect
23. #76347C2semidirect
24. #76259C2semidirect
25. #76211C2semidirect
26. #76202C2semidirect
27. #75971C2semidirect
28. #74935C2semidirect
29. #74916C2semidirect
30. #74894C2semidirect
31. #74688C2semidirect
35. C22×#235C22semidirect
39. C2×C3×C22⋊Q8C22semidirect
40. C2×C3×C22⋊Q8C22semidirect
41. C2×#947C22semidirect
44. C2×#946C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
61. C2×#896C22semidirect
67. C2×#895C22semidirect
78. C2×D3×C4⋊C4C22semidirect
79. C2×#887C22semidirect
80. C2×#885C22semidirect
81. C2×#885C22semidirect
87. C2×#884C22semidirect
88. C2×#884C22semidirect
101. C3×#396C22semidirect
102. C3×#396C22semidirect
103. C3×#395C22semidirect
104. C3×#395C22semidirect
106. C3×#389C22semidirect
107. C3×#389C22semidirect
110. #5231C22semidirect
111. #5230C22semidirect
115. #5210C22semidirect
116. #4994C22semidirect
117. #4994C22semidirect
118. #4994C22semidirect
119. #4994C22semidirect
120. #4994C22semidirect
121. #4993C22semidirect
125. #4991C22semidirect
126. #4991C22semidirect
132. #4989C22semidirect
133. #4987C22semidirect
134. #4984C22semidirect
135. #4982C22semidirect
136. #4981C22semidirect
137. #4980C22semidirect
138. #4979C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. #4975C22semidirect
144. #4961C22semidirect
145. #4961C22semidirect
152. #4957C22semidirect
153. #4957C22semidirect
160. #4949C22semidirect
163. #4948C22semidirect
166. #4939C22semidirect
167. C4×Dic3⋊C4C22semidirect
168. #4673C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
180. #4667C22semidirect
181. #4667C22semidirect
182. #4667C22semidirect
188. #4655C22semidirect
189. #4647C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
198. #2683D3semidirect
388. #896D4semidirect
400. #893D4semidirect
476. C2×C22⋊Q8C2×D3semidirect
477. C2×C22⋊Q8C2×D3semidirect
528. #396C2×D3semidirect
529. #396C2×D3semidirect
532. #395C2×D3semidirect
533. #395C2×D3semidirect
568. #389C2×D3semidirect
569. #389C2×D3semidirect
1560. C2×D3#537semidirect
1848. C3#37649semidirect

Maximal subgroups

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

subgroupindex
C2×#56332
C2×#56292
C2×D3×C22⋊Q82
C2×#56272
C3×#26832
#828292
#828272
#828172
#827932
#774262
#774162
#773312
#773142
#772852
#772842
#772592
#772522
#772012
#771722
#764422
#763472
#762592
#762112
#762022
#759712
#749352
#749162
#748942
#746882
#376493