Finite Group Databasebeta

← #11635854

Subgroups — #11635854

Order 768.

3082 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
2C2×#5677C211yesmaximal, characteristic, complemented
3C2×#5655C211yesmaximal, characteristic, complemented
4C2×#5633C211yesmaximal, characteristic, complemented
5C3×#2674C211yesmaximal, characteristic, complemented
6#83265C211yesmaximal, characteristic, complemented
7#82967C211yesmaximal, characteristic, complemented
8#82897C211yesmaximal, characteristic, complemented
9#82763C211yesmaximal, characteristic, complemented
10#78103C211yesmaximal, characteristic, complemented
11#78037C211yesmaximal, characteristic, complemented
12#77673C211yesmaximal, characteristic, complemented
13#77514C211yesmaximal, characteristic, complemented
14#77287C211yesmaximal, characteristic, complemented
15#77284C211yesmaximal, characteristic, complemented
16#77174C211yesmaximal, characteristic, complemented
17#77172C211yesmaximal, characteristic, complemented
18#76904C211yesmaximal, characteristic, complemented
19#76898C211yesmaximal, characteristic, complemented
20#76792C211yesmaximal, characteristic, complemented
21#76780C211yesmaximal, characteristic, complemented
22#76202C211yesmaximal, characteristic, complemented
23#75996C211yesmaximal, characteristic, complemented
24#75915C211yesmaximal, characteristic, complemented
25#75666C211yesmaximal, characteristic, complemented
26#75452C211yesmaximal, characteristic, complemented
27#75452C211yesmaximal, characteristic, complemented
28#75319C211yesmaximal, characteristic, complemented
29#74967C211yesmaximal, characteristic, complemented
30#74411C211yesmaximal, characteristic, complemented
31#74393C211yesmaximal, characteristic, complemented
32#59125—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×D3×Q8C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×C4⋊Q8C2211yescharacteristic
38C2×C3×#124C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×#947C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#944C2211yescharacteristic
44C2×#944C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×Dic3⋊C4C2211yescharacteristic
49D3×C4⋊Q8—28no—
50#5677—28no—
51#5655—28no—
52#5633—28no—
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×D3×C4⋊C4C2211yescharacteristic
66C2×D3×C4⋊C4C2211yescharacteristic
67C2×#888C2211yescharacteristic
68C2×#888C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#888C2211yescharacteristic
71C2×#887C2211yescharacteristic
72C2×#886C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#883C2211yescharacteristic
83C2×#67⋊C4C2211yescharacteristic
84C2×#67⋊C4C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×#878C2211yescharacteristic
92C2×C4×D12C2211yescharacteristic
93C2×C42×D3C2211yescharacteristic
94C2×#869C2211yescharacteristic
95C2×C4×Dic6C2211yescharacteristic
96C3×#399C2211yescharacteristic
97C3×#397C2211yescharacteristic
98C3×#396C2211yescharacteristic
99C3×#395C2211yescharacteristic
100C3×#394C2211yescharacteristic
101C3×#393C2211yescharacteristic
102C3×#389C2211yescharacteristic
103C3×#388C2211yescharacteristic
104C3×#388C2211yescharacteristic
105C3×#387C2211yescharacteristic
106C3×#385C2211yescharacteristic
107#5231C2211yescharacteristic
108#5230C2211yescharacteristic
109#5222C2211yescharacteristic
110#5210C2211yescharacteristic
111#4994C2211yescharacteristic
112#4994C2211yescharacteristic
113#4993C2211yescharacteristic
114#4992C2211yescharacteristic
115#4991C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4989C2211yescharacteristic
119#4989C2211yescharacteristic
120#4984C2211yescharacteristic
121#4983C2211yescharacteristic
122#4982C2211yescharacteristic
123#4981C2211yescharacteristic
124#4980C2211yescharacteristic
125#4979C2211yescharacteristic
126#4976C2211yescharacteristic
127#4976C2211yescharacteristic
128#4976C2211yescharacteristic
129#4976C2211yescharacteristic
130#4975C2211yescharacteristic
131#4975C2211yescharacteristic
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4953C2211yescharacteristic
145#4950C2211yescharacteristic
146#4949C2211yescharacteristic
147#4948C2211yescharacteristic
148#4947C2211yescharacteristic
149#4946C2211yescharacteristic
150#4945C2211yescharacteristic
151#4944C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154Dic3×C22⋊C4C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156#4940C2211yescharacteristic
157#4940C2211yescharacteristic
158#4940C2211yescharacteristic
159C4×Dic3⋊C4C2211yescharacteristic
160#4677C2211yescharacteristic
161#4674C2211yescharacteristic
162#4673C2211yescharacteristic
163#4672C2211yescharacteristic
164#4669C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4657C2211yescharacteristic
180#4656C2211yescharacteristic
181#4654C2211yescharacteristic
182#4653C2211yescharacteristic
183#4649C2211yescharacteristic
184#4649C2211yescharacteristic
185#4649C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×#548—31no—
193C2×#548—31no—
194C2×#547—31no—
195C22×C4⋊Q8—31no—
196#2674—31no—
197#2674—31no—
198#2674—31no—
199#2674D311yescharacteristic, complemented
200#2547—31no—
201#2542—31no—
202#2491—31no—
203#2491—31no—
204#2443—31no—
205#2443—31no—
206#2443—31no—
207#2443—31no—
208#2440—31no—
209#2440—31no—
210#2432—31no—
211#2432—31no—
212#2429—31no—
213#2429—31no—
214#2416—31no—
215#2416—31no—
216#2409—31no—
217#2409—31no—
218#2365—31no—
219D4×C4⋊C4—31no—
220D4×C4⋊C4—31no—
221C4×#121—31no—
222C4×#121—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×Q8—24no—
237C2×D3×Q8—24no—
238C2×D3×Q8—24no—
239C2×D3×Q8—24no—
240C2×D3×Q8—42no—
241C2×D3×Q8—42no—
242C2×#237—24no—
243C2×#237—24no—
244C2×#237—42no—
245C2×#235—24no—
246C2×#235—24no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×C4⋊Q8—24no—
269C3×#124—24no—
270C3×#123—24no—
271C3×C22⋊Q8—24no—
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#947—24no—
303#946—24no—
304#944—24no—
305#944—24no—
306#939—24no—
307#938—24no—
308C4×#67—24no—
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4—24no—
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374#896—24no—
375#896—24no—
376#896—24no—
377#896—42no—
378#895—24no—
379#894—24no—
380#893—24no—
381#893—24no—
382#893—24no—
383D3×C4⋊C4—24no—
384D3×C4⋊C4—24no—
385D3×C4⋊C4—24no—
386D3×C4⋊C4—24no—
387D3×C4⋊C4—24no—
388#888—24no—
389#888—24no—
390#888—24no—
391#888D418yescomplemented
392#887—24no—
393#886—24no—
394#885—24no—
395#885—24no—
396#885—24no—
397#885—24no—
398#884—24no—
399#884—24no—
400#884—24no—
401#884—24no—
402#884D418yescomplemented
403#883—24no—
404#67⋊C4—24no—
405#67⋊C4—24no—
406#67⋊C4—24no—
407#67⋊C4—24no—
408#67⋊C4—24no—
409#878—24no—
410#878—24no—
411#878—24no—
412#878—42no—
413C4×D12—24no—
414C42×D3—24no—
415#869—24no—
416C4×Dic6—24no—
417C3×#95C2311yescharacteristic
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
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C22×#41—31no—
447C23×Q8—31no—
448C23×Q8—31no—
449#548—68no—
450#548—68no—
451#547—68no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×C4⋊Q8—31no—
457C2×C4⋊Q8—31no—
458C2×C4⋊Q8—31no—
459C2×C4⋊Q8—68no—
460C2×C4⋊Q8C2×D311yescharacteristic
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124—31no—
465C2×#124—31no—
466C2×#124C2×D311yescharacteristic
467C2×#123—31no—
468C2×#123—31no—
469C2×#123—31no—
470C2×#123C2×D311yescharacteristic
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8C2×D311yescharacteristic
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×C4×Q8—31no—
490C2×C4×Q8—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C22×C4⋊C4—31no—
502C22×C4⋊C4—31no—
503C22×C4⋊C4—31no—
504C22×C4⋊C4—31no—
505C22×C4⋊C4—31no—
506C22×C4⋊C4—31no—
507C22×C42—31no—
508#399—31no—
509#399—31no—
510#399—31no—
511#399C2×D311yescharacteristic
512#398—31no—
513#398—31no—
514#398—31no—
515#398—31no—
516#397—31no—
517#397—31no—
518#397—31no—
519#397C2×D311yescharacteristic
520#396—31no—
521#396—31no—
522#396—31no—
523#396C2×D311yescharacteristic
524#395—31no—
525#395—31no—
526#395—31no—
527#395C2×D311yescharacteristic
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394C2×D311yescharacteristic
536#393—31no—
537#393—31no—
538#393—31no—
539#393C2×D311yescharacteristic
540#391—31no—
541#391—31no—
542#391—31no—
543#391—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#389—31no—
549#389—31no—
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389C2×D311yescharacteristic
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388C2×D311yescharacteristic
563#388C2×D311yescharacteristic
564#387—31no—
565#387—31no—
566#387—31no—
567#387C2×D311yescharacteristic
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385—31no—
586#385—31no—
587#385C2×D311yescharacteristic
588#384—31no—
589#384—31no—
590#380—31no—
591#380—31no—
592#380—31no—
593#380—31no—
594#380—31no—
595#380—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C4⋊C4—31no—
599C4×C4⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C4×C22⋊C4—31no—
603C4×C22⋊C4—31no—
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—22no—
612C2×C3×Q8—22no—
613C2×C3×Q8—41no—
614C2×C3×Q8—41no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67C2×D414yes—
651C2×#67C2×D414yes—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674D3×Q8—416no—
675D3×Q8—416no—
676#237—416no—
677#235—416no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—41no—
686C2×D12C2×D414yes—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3C2×D414yes—
719C2×C4×D3#4114yescomplemented
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—22no—
724C2×Dic6—22no—
725C2×Dic6—22no—
726C2×Dic6—22no—
727C2×Dic6—22no—
728C2×Dic6—22no—
729C2×Dic6—22no—
730C2×Dic6—22no—
731C2×Dic6—22no—
732C2×Dic6—22no—
733C2×Dic6—22no—
734C2×Dic6—41no—
735C2×Dic6—41no—
736C2×Dic6C2×D414yes—
737C2×Dic6C2×D414yes—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—22no—
743C3×C4⋊C4—22no—
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—41no—
747C3×C4⋊C4C2×D414yes—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—41no—
758C3×C22⋊C4C2×D414yes—
759C3×C42—22no—
760C3×C42—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—41no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4C2×D414yes—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—41no—
797C4⋊Dic3C2×D414yes—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4C2×D414yes—
820Dic3⋊C4C2×D414yes—
821Dic3⋊C4C2×D414yes—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—22no—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3C2×D414yes—
832C2×#41—64no—
833C2×#41—64no—
834C2×#41—64no—
835C2×#41—64no—
836C2×#41—122no—
837C2×#41—122no—
838C22×Q8—31no—
839C22×Q8—31no—
840C22×Q8—31no—
841C22×Q8—31no—
842C22×Q8—31no—
843C22×Q8—31no—
844C22×Q8—64no—
845C22×Q8—64no—
846C22×Q8—64no—
847C22×Q8—64no—
848C22×Q8—122no—
849C22×Q8—122no—
850C22×Q8C22×D311yescharacteristic
851C22×Q8C22×D311yescharacteristic
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4C22×D311yescharacteristic
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4C22×D311yescharacteristic
877C4⋊Q8—24no—
878C4⋊Q8—38no—
879C4⋊Q8—64no—
880C4⋊Q8—64no—
881C4⋊Q8—64no—
882C4⋊Q8—64no—
883C4⋊Q8—64no—
884C4⋊Q8—64no—
885#124—24no—
886#124—64no—
887#124—64no—
888#124—64no—
889#124—64no—
890#124—64no—
891#123—24no—
892#123—64no—
893#123—64no—
894#123—64no—
895C22⋊Q8—24no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—64no—
901C22⋊Q8—64no—
902C22⋊Q8—64no—
903C22⋊Q8—122no—
904C22⋊Q8—122no—
905#121—38no—
906#121—64no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913C4×Q8—64no—
914C4×Q8—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—64no—
918C4×D4—64no—
919C4×D4—64no—
920C4×D4—64no—
921C4×D4—64no—
922C4×D4—64no—
923C4×D4—64no—
924C4×D4—64no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
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—64no—
958C2×C4⋊C4—64no—
959C2×C4⋊C4—64no—
960C2×C4⋊C4—64no—
961C2×C4⋊C4—64no—
962C2×C4⋊C4—64no—
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C4⋊C4C22×D311yescharacteristic
971C2×C4⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42—31no—
1016C2×C42—31no—
1017C2×C42—31no—
1018C2×C42—31no—
1019C2×C42—31no—
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—64no—
1024C2×C42C22×D311yescharacteristic
1025C2×C42C22×D311yescharacteristic
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3C22×D412yes—
1068C23×C3C2511yescharacteristic
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3C22×D412yes—
1087C22×D3C22×D412yes—
1088C22×D3C2×#4112yes—
1089C22×D32−1+412yes—
1090C3×Q8—44no—
1091C3×Q8—44no—
1092C3×D4—44no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—44no—
1127C2×C3×C4C22×D412yes—
1128C2×C3×C4C22×D412yes—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131C2×C3×C4C22×D412yes—
1132C2×C3×C4C2×#4112yes—
1133#67—28no—
1134#67—28no—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—44no—
1169C2×Dic3—44no—
1170C2×Dic3—44no—
1171C2×Dic3C22×D412yes—
1172C2×Dic3C22×D412yes—
1173C2×Dic3C22×D412yes—
1174C2×Dic3C22×D412yes—
1175C2×Dic3C22×D412yes—
1176C2×Dic3C22×D412yes—
1177C2×Dic3C2×#4112yes—
1178C2×Dic3H(5,𝔽2)12yes—
1179C2×Dic32−1+412yes—
1180C2×Dic32−1+412yes—
1181D12—28no—
1182D12—44no—
1183D12—44no—
1184C4×D3—28no—
1185C4×D3—28no—
1186C4×D3—28no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—44no—
1194C4×D3—44no—
1195Dic6—28no—
1196Dic6—28no—
1197Dic6—44no—
1198Dic6—44no—
1199Dic6—44no—
1200Dic6—44no—
1201C24—31no—
1202C24—31no—
1203C24—31no—
1204C24C23×D311yescharacteristic
1205C24C23×D311yescharacteristic
1206#41—1216no—
1207#41—1216no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—34no—
1213C2×Q8—34no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—62no—
1217C2×Q8—62no—
1218C2×Q8—62no—
1219C2×Q8—62no—
1220C2×Q8—62no—
1221C2×Q8—62no—
1222C2×Q8—62no—
1223C2×Q8—62no—
1224C2×Q8—62no—
1225C2×Q8—62no—
1226C2×Q8—62no—
1227C2×Q8—62no—
1228C2×Q8—62no—
1229C2×Q8—62no—
1230C2×Q8—121no—
1231C2×Q8—121no—
1232C2×Q8—1216no—
1233C2×Q8—1216no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—34no—
1237C2×D4—34no—
1238C2×D4—34no—
1239C2×D4—41no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—34no—
1273C22×C4—34no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—41no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—34no—
1344C4⋊C4—34no—
1345C4⋊C4—34no—
1346C4⋊C4—34no—
1347C4⋊C4—41no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4D3×D414yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—34no—
1387C22⋊C4—41no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4D3×D414yes—
1417C42—22no—
1418C42—22no—
1419C42—34no—
1420C42—62no—
1421C42—62no—
1422C42—62no—
1423C42—62no—
1424C42—62no—
1425C42—62no—
1426C42—62no—
1427C42—62no—
1428C42—62no—
1429C22×C3—22no—
1430C22×C3—22no—
1431C22×C3—22no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3C23×D411yescharacteristic
1444C22×C3C23×D411yescharacteristic
1445C22×C3C22×#4111yescharacteristic
1446C22×C3C2×H(5,𝔽2)11yescharacteristic
1447C22×C3C2×2−1+411yescharacteristic
1448C22×C3C2×2−1+411yescharacteristic
1449C22×C3C2×2−1+411yescharacteristic
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3#54714yescomplemented
1471C3×C4—22no—
1472C3×C4—22no—
1473C3×C4—22no—
1474C3×C4—22no—
1475C3×C4—22no—
1476C3×C4—22no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484Dic3—22no—
1485Dic3—22no—
1486Dic3—22no—
1487Dic3—22no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3D4214yes—
1496Dic3#54814yescomplemented
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—32no—
1511C23—32no—
1512C23—32no—
1513C23—32no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23C2×D3×D412yes—
1532C23C24×D311yescharacteristic
1533Q8—44no—
1534Q8—44no—
1535Q8—68no—
1536Q8—68no—
1537Q8—124no—
1538Q8—124no—
1539Q8—124no—
1540Q8—124no—
1541D4—44no—
1542D4—68no—
1543D4—68no—
1544D4—68no—
1545D4—124no—
1546D4—124no—
1547D4—124no—
1548D4—124no—
1549D4—124no—
1550D4—124no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—32no—
1585C2×C4—32no—
1586C2×C4—32no—
1587C2×C4—32no—
1588C2×C4—32no—
1589C2×C4—32no—
1590C2×C4—32no—
1591C2×C4—32no—
1592C2×C4—32no—
1593C2×C4—32no—
1594C2×C4—44no—
1595C2×C4—68no—
1596C2×C4—68no—
1597C2×C4—68no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—124no—
1631C2×C4—124no—
1632C2×C4—124no—
1633C2×C4—124no—
1634C2×C4—124no—
1635C2×C4—124no—
1636C2×C4—124no—
1637C2×C4—124no—
1638C2×C4C2×D3×D412yes—
1639C2×C4C2×D3×D412yes—
1640C2×C4C2×D3×D412yes—
1641C2×C4C2×D3×D412yes—
1642C2×C4C2×D3×D412yes—
1643C2×C4D3×#4112yes—
1644C2×C3—42no—
1645C2×C3—81no—
1646C2×C3C2×D4211yescharacteristic
1647C2×C3C2×#54711yescharacteristic
1648C2×C3C2×#54811yescharacteristic
1649C2×C3#348611yescharacteristic
1650C2×C3#349911yescharacteristic
1651C2×C3#351111yescharacteristic
1652C2×C3#355211yescharacteristic
1653D3—24no—
1654D3—42no—
1655D3—81no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—34no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—62no—
1672C22—62no—
1673C22—62no—
1674C22—62no—
1675C22—62no—
1676C22—62no—
1677C22—62no—
1678C22—62no—
1679C22—62no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22C22×D3×D411yescharacteristic
1692C22C22×D3×D411yescharacteristic
1693C22C2×D3×#4111yescharacteristic
1694C22D3×H(5,𝔽2)11yescharacteristic
1695C22D3×2−1+411yescharacteristic
1696C22D3×2−1+411yescharacteristic
1697C22D3×2−1+411yescharacteristic
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—34no—
1705C4—34no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—62no—
1714C4—62no—
1715C4—62no—
1716C4—62no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C4—121no—
1721C4—121no—
1722C4—121no—
1723C4—121no—
1724C3#5912511yescharacteristic, complemented, Sylow
1725C2—42no—
1726C2—64no—
1727C2—81no—
1728C2—122no—
1729C2—241no—
1730C2#8634011yescharacteristic
1731C2#8635511yescharacteristic
1732C2#8652611yescharacteristic
1733C2D3×D4211yescharacteristic
1734C2D3×#54711yescharacteristic
1735C2D3×#54811yescharacteristic
1736C2#8713211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2674C2
hypercenter#2674D3
hypocenterC3#59125
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×D3×C4⋊Q8C2semidirect
2. C2×#5677C2semidirect
3. C2×#5655C2semidirect
4. C2×#5633C2semidirect
5. C3×#2674C2semidirect
6. #83265C2semidirect
7. #82967C2semidirect
8. #82897C2semidirect
9. #82763C2semidirect
10. #78103C2semidirect
11. #78037C2semidirect
12. #77673C2semidirect
13. #77514C2semidirect
14. #77287C2semidirect
15. #77284C2semidirect
16. #77174C2semidirect
17. #77172C2semidirect
18. #76904C2semidirect
19. #76898C2semidirect
20. #76792C2semidirect
21. #76780C2semidirect
22. #76202C2semidirect
23. #75996C2semidirect
24. #75915C2semidirect
25. #75666C2semidirect
26. #75452C2semidirect
27. #75452C2semidirect
28. #75319C2semidirect
29. #74967C2semidirect
30. #74411C2semidirect
31. #74393C2semidirect
199. #2674D3semidirect
391. #888D4semidirect
402. #884D4semidirect
719. C2×C4×D3#41semidirect
1470. C2×D3#547semidirect
1496. Dic3#548semidirect
1724. C3#59125semidirect

Maximal subgroups

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

subgroupindex
C2×D3×C4⋊Q82
C2×#56772
C2×#56552
C2×#56332
C3×#26742
#832652
#829672
#828972
#827632
#781032
#780372
#776732
#775142
#772872
#772842
#771742
#771722
#769042
#768982
#767922
#767802
#762022
#759962
#759152
#756662
#754522
#753192
#749672
#744112
#743932
#591253