Finite Group Databasebeta

← #11635947

Subgroups — #11635947

Order 768.

3232 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5598C211yesmaximal, characteristic, complemented
2C2×#5591C211yesmaximal, characteristic, complemented
3C2×D4×Dic6C211yesmaximal, characteristic, complemented
4C22×#885C211yesmaximal, characteristic, complemented
5C3×#2424C211yesmaximal, characteristic, complemented
6#82706C211yesmaximal, characteristic, complemented
7#82684C211yesmaximal, characteristic, complemented
8Dic3×#121C211yesmaximal, characteristic, complemented
9#82589C211yesmaximal, characteristic, complemented
10#82582C211yesmaximal, characteristic, complemented
11#82579C211yesmaximal, characteristic, complemented
12#82398C211yesmaximal, characteristic, complemented
13#82110C211yesmaximal, characteristic, complemented
14#77427C211yesmaximal, characteristic, complemented
15#77315C211yesmaximal, characteristic, complemented
16#76935C211yesmaximal, characteristic, complemented
17#76915C211yesmaximal, characteristic, complemented
18#76904C211yesmaximal, characteristic, complemented
19#76902C211yesmaximal, characteristic, complemented
20#76715C211yesmaximal, characteristic, complemented
21#76687C211yesmaximal, characteristic, complemented
22#76452C211yesmaximal, characteristic, complemented
23#76312C211yesmaximal, characteristic, complemented
24#75666C211yesmaximal, characteristic, complemented
25#75482C211yesmaximal, characteristic, complemented
26#74728C211yesmaximal, characteristic, complemented
27#74718C211yesmaximal, characteristic, complemented
28#74701C211yesmaximal, characteristic, complemented
29#74689C211yesmaximal, characteristic, complemented
30#74413C211yesmaximal, characteristic, complemented
31#74381C211yesmaximal, characteristic, complemented
32#59130—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C23×Dic6C2211yescharacteristic
36C23×Dic6C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×C4×D4C2211yescharacteristic
42C22×C3×C22⋊C4C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic, complemented
50C2×#938C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#936C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×D4×Dic3C2211yescharacteristic, complemented
58C2×D4×Dic3C2211yescharacteristic, complemented
59C2×C4×#67C2211yescharacteristic, complemented
60C22×(C2×D3)⋊C4C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C2×#924C2211yescharacteristic
63C2×#924C2211yescharacteristic, complemented
64C22×C4×Dic3C2211yescharacteristic
65#5598—28no—
66#5591—28no—
67D4×Dic6—28no—
68C2×#897C2211yescharacteristic, complemented
69C2×#888C2211yescharacteristic, complemented
70C2×#888C2211yescharacteristic, complemented
71C2×#887C2211yescharacteristic, complemented
72C2×#886C2211yescharacteristic
73C2×#885—28no—
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#885C2211yescharacteristic
79C2×#885C2211yescharacteristic
80C2×#885C2211yescharacteristic
81C2×#885C2211yescharacteristic
82C2×#885C2211yescharacteristic
83C2×#885C2211yescharacteristic, complemented
84C2×#883C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×D3×C22⋊C4C2211yescharacteristic
87C2×#878C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic, complemented
90C2×#878C2211yescharacteristic, complemented
91C2×#878C2211yescharacteristic, complemented
92C2×#878C2211yescharacteristic, complemented
93C2×#878C2211yescharacteristic, complemented
94C2×#869C2211yescharacteristic, complemented
95C2×C4×Dic6C2211yescharacteristic, complemented
96C3×#396C2211yescharacteristic, complemented
97C3×#394C2211yescharacteristic, complemented
98C3×#394C2211yescharacteristic, complemented
99C3×#392C2211yescharacteristic, complemented
100C3×#390C2211yescharacteristic, complemented
101C3×#388C2211yescharacteristic, complemented
102C3×#386C2211yescharacteristic
103C3×#386C2211yescharacteristic, complemented
104C3×#385C2211yescharacteristic
105#5247C2211yescharacteristic
106#5223C2211yescharacteristic
107#5223C2211yescharacteristic
108#5223C2211yescharacteristic, complemented
109#5222C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5221C2211yescharacteristic, complemented
113#5221C2211yescharacteristic, complemented
114#5220C2211yescharacteristic
115#5220C2211yescharacteristic
116#5220C2211yescharacteristic
117#5220C2211yescharacteristic, complemented
118#5220C2211yescharacteristic, complemented
119#5213C2211yescharacteristic, complemented
120#5212C2211yescharacteristic
121#5210C2211yescharacteristic
122#5210C2211yescharacteristic
123#4994C2211yescharacteristic, complemented
124#4994C2211yescharacteristic, complemented
125#4994C2211yescharacteristic, complemented
126#4990C2211yescharacteristic, complemented
127#4990C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4987C2211yescharacteristic, complemented
130#4984C2211yescharacteristic, complemented
131#4978C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133Dic3×C4⋊C4C2211yescharacteristic, complemented
134Dic3×C4⋊C4C2211yescharacteristic, complemented
135#4961C2211yescharacteristic
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4958C2211yescharacteristic, complemented
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4953C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4950C2211yescharacteristic
155#4950C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4949C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4948C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4947C2211yescharacteristic, complemented
162#4947C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4946C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic
170Dic3×C22⋊C4C2211yescharacteristic
171Dic3×C22⋊C4C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4940C2211yescharacteristic, complemented
175C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
176#4677C2211yescharacteristic, complemented
177#4675C2211yescharacteristic, complemented
178#4673C2211yescharacteristic, complemented
179#4673C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#546—31no—
195C22×#124—31no—
196#2676—31no—
197#2676—31no—
198#2674—31no—
199#2674—31no—
200#2545—31no—
201#2540—31no—
202#2491—31no—
203#2491—31no—
204#2472—31no—
205#2472—31no—
206#2461—31no—
207#2461—31no—
208#2437—31no—
209#2437—31no—
210#2436—31no—
211#2432—31no—
212#2427—31no—
213#2426—31no—
214#2424—31no—
215#2424D311yescharacteristic, complemented
216#2409—31no—
217#2408—31no—
218#2367—31no—
219#2358—31no—
220#2358—31no—
221C4×C22⋊Q8—31no—
222C4×#121—31no—
223C25×C3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67—24no—
236C22×#67—24no—
237C22×#67—42no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C2×#237—24no—
255C2×#237—24no—
256C2×#237—42no—
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×Dic6—24no—
260C22×Dic6—24no—
261C22×Dic6—24no—
262C22×Dic6—24no—
263C22×Dic6—42no—
264C22×Dic6—42no—
265C22×Dic6C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#121—24no—
273C3×#121—24no—
274C3×#120—24no—
275C3×#120—24no—
276C3×C4×D4—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×#217—24no—
299C2×#217—24no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#939—42no—
328#938—24no—
329#937—24no—
330#937—24no—
331#936—24no—
332D4×Dic3—24no—
333D4×Dic3—24no—
334D4×Dic3—24no—
335D4×Dic3—24no—
336D4×Dic3—24no—
337C4×#67—24no—
338C2×(C2×D3)⋊C4—24no—
339C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368#924—24no—
369#924—24no—
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×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3—24no—
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394#897—24no—
395#888—24no—
396#888—24no—
397#887—24no—
398#886—24no—
399#885—24no—
400#885—24no—
401#885—24no—
402#885—24no—
403#885—24no—
404#885—24no—
405#885—24no—
406#885—24no—
407#885—24no—
408#885D418yescomplemented
409#883—24no—
410#67⋊C4—24no—
411D3×C22⋊C4—24no—
412#878—24no—
413#878—24no—
414#878—24no—
415#878—24no—
416#878—24no—
417#878—42no—
418#878D418yescomplemented
419#869—24no—
420C4×Dic6—24no—
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—
446C23×Q8—31no—
447C23×Q8—31no—
448C23×D4—31no—
449D4×Q8—68no—
450#548—68no—
451#546—68no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×#124—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#124—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124—31no—
465C2×#124—31no—
466C2×#124—68no—
467C2×#123—31no—
468C2×#123—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
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×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121C2×D311yescharacteristic
486C2×#121C2×D311yescharacteristic, complemented
487C2×#120—31no—
488C2×#120—31no—
489C2×#120C2×D311yescharacteristic
490C2×#120C2×D311yescharacteristic
491C2×C4×Q8—31no—
492C2×C4×Q8—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×D4C2×D311yescharacteristic
501C22×C22⋊C4—31no—
502C22×C22⋊C4—31no—
503C22×C22⋊C4—31no—
504C22×C22⋊C4—31no—
505C22×C22⋊C4—31no—
506C22×C22⋊C4C2×D311yescharacteristic
507C22×C42—31no—
508#399—31no—
509#399—31no—
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#396—31no—
517#396C2×D311yescharacteristic, complemented
518#395—31no—
519#395—31no—
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#394C2×D311yescharacteristic, complemented
529#394C2×D311yescharacteristic, complemented
530#393—31no—
531#393—31no—
532#393—31no—
533#393—31no—
534#393—31no—
535#393—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392C2×D311yescharacteristic, complemented
540#391—31no—
541#391—31no—
542#391—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390C2×D311yescharacteristic, complemented
552#389—31no—
553#389—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#388—31no—
565#388C2×D311yescharacteristic, complemented
566#387—31no—
567#387—31no—
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#386C2×D311yescharacteristic
577#386C2×D311yescharacteristic, complemented
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#380—31no—
589#380—31no—
590#380—31no—
591#380—31no—
592#379—31no—
593#379—31no—
594C4×C4⋊C4—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C4×C22⋊C4—31no—
603C4×C22⋊C4—31no—
604C24×C3—22no—
605C24×C3—22no—
606C24×C3—22no—
607C24×C3—22no—
608C24×C3—41no—
609C24×C3—41no—
610C24×C3—41no—
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C24×C3C2411yescharacteristic
615C24×C3C2411yescharacteristic
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
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—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4#4114yescomplemented
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—22no—
651C22×C3×C4—22no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
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—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—416no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67C2×D414yes—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3C2×D414yes—
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728#237—416no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×Dic6—22no—
736C2×Dic6—22no—
737C2×Dic6—22no—
738C2×Dic6—22no—
739C2×Dic6—22no—
740C2×Dic6—22no—
741C2×Dic6—22no—
742C2×Dic6—22no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—416no—
751C2×Dic6—416no—
752C2×Dic6—41no—
753C2×Dic6—41no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C2×Dic6C2×D414yes—
757C2×Dic6C2×D414yes—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—41no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4C2×D414yes—
776C3×C22⋊C4C2×D414yes—
777C3×C42—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217C2×D414yes—
800#217C2×D414yes—
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—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4C2×D414yes—
818(C2×D3)⋊C4C2×D414yes—
819C4⋊Dic3—22no—
820C4⋊Dic3—22no—
821C4⋊Dic3—22no—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—41no—
827C4⋊Dic3—41no—
828C4⋊Dic3C2×D414yes—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4C2×D414yes—
840Dic3⋊C4C2×D414yes—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3C2×D414yes—
852C25—31no—
853C25C22×D311yescharacteristic
854C2×#41—64no—
855C2×#41—64no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8—31no—
860C22×Q8—31no—
861C22×Q8—31no—
862C22×Q8—31no—
863C22×Q8—31no—
864C22×Q8—64no—
865C22×Q8—64no—
866C22×Q8—64no—
867C22×Q8—64no—
868C22×Q8—122no—
869C22×Q8—122no—
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—122no—
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
899C23×C4C22×D311yescharacteristic
900C23×C4C22×D311yescharacteristic
901C4⋊Q8—64no—
902C4⋊Q8—64no—
903C4⋊Q8—64no—
904#124—38no—
905#124—64no—
906#124—64no—
907#124—64no—
908#124—64no—
909#124—64no—
910#124—64no—
911#124—64no—
912#124—64no—
913#124—64no—
914#124—64no—
915#123—64no—
916#123—64no—
917C22⋊Q8—38no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921C22⋊Q8—64no—
922C22⋊Q8—64no—
923C22⋊Q8—64no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—122no—
927#121—24no—
928#121—24no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—122no—
935#120—24no—
936#120—24no—
937#120—64no—
938#120—64no—
939C4×Q8—64no—
940C4×Q8—64no—
941C4×D4—24no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C4×D4—64no—
947C4×D4—64no—
948C4×D4—64no—
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—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⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C22⋊C4—24no—
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⋊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—64no—
1018C2×C22⋊C4—64no—
1019C2×C22⋊C4—64no—
1020C2×C22⋊C4—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—31no—
1048C2×C42—64no—
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#95—31no—
1069#95—31no—
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×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—44no—
1105C23×C3—44no—
1106C23×C3—44no—
1107C23×C3—44no—
1108C23×C3—82no—
1109C23×C3—82no—
1110C23×C3—82no—
1111C23×C3C22×D412yes—
1112C23×C3C22×D412yes—
1113C23×C3C2×#4112yes—
1114C23×C3C2×#4112yes—
1115C23×C32−1+412yes—
1116C23×C3C2511yescharacteristic
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—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3C22×D412yes—
1138C3×D4—28no—
1139C3×D4—44no—
1140C3×D4—44no—
1141C3×D4—44no—
1142C3×D4—44no—
1143C3×D4—82no—
1144C3×D4—82no—
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—44no—
1171C2×C3×C4—44no—
1172C2×C3×C4—44no—
1173C2×C3×C4C22×D412yes—
1174C2×C3×C4C22×D412yes—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C2×#4112yes—
1178#67—28no—
1179#67—44no—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—82no—
1185#67—82no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—28no—
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—21no—
1221C2×Dic3—44no—
1222C2×Dic3—44no—
1223C2×Dic3—44no—
1224C2×Dic3—44no—
1225C2×Dic3—44no—
1226C2×Dic3—44no—
1227C2×Dic3—82no—
1228C2×Dic3C22×D412yes—
1229C2×Dic3C22×D412yes—
1230C2×Dic3C22×D412yes—
1231C2×Dic3C22×D412yes—
1232C2×Dic3C22×D412yes—
1233C2×Dic3C22×D412yes—
1234C2×Dic3C22×D412yes—
1235C2×Dic3H(5,𝔽2)12yes—
1236C4×D3—44no—
1237C4×D3—82no—
1238Dic6—28no—
1239Dic6—28no—
1240Dic6—44no—
1241Dic6—44no—
1242Dic6—44no—
1243Dic6—44no—
1244Dic6—44no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—31no—
1250C24—31no—
1251C24—41no—
1252C24—41no—
1253C24—41no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24C23×D311yescharacteristic
1262C24C23×D311yescharacteristic
1263C24C23×D311yescharacteristic
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267C2×Q8—34no—
1268C2×Q8—34no—
1269C2×Q8—62no—
1270C2×Q8—62no—
1271C2×Q8—62no—
1272C2×Q8—62no—
1273C2×Q8—62no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—62no—
1282C2×Q8—62no—
1283C2×Q8—62no—
1284C2×Q8—121no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—1216no—
1289C2×Q8—1216no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—34no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
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—62no—
1326C2×D4—1216no—
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#23714yescomplemented
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—31no—
1343C22×C4—34no—
1344C22×C4—31no—
1345C22×C4—31no—
1346C22×C4—31no—
1347C22×C4—31no—
1348C22×C4—31no—
1349C22×C4—31no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—31no—
1354C22×C4—31no—
1355C22×C4—31no—
1356C22×C4—31no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
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—121no—
1381C22×C4—121no—
1382C22×C4—121no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4C23×D311yescharacteristic
1390C22×C4C23×D311yescharacteristic
1391C22×C4C23×D311yescharacteristic
1392C22×C4C23×D311yescharacteristic
1393C22×C4C23×D311yescharacteristic
1394C22×C4C23×D311yescharacteristic
1395C22×C4C23×D311yescharacteristic
1396C22×C4C23×D311yescharacteristic
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—34no—
1403C4⋊C4—34no—
1404C4⋊C4—34no—
1405C4⋊C4—41no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—121no—
1422C4⋊C4—121no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—34no—
1440C22⋊C4—34no—
1441C22⋊C4—41no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
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—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4D3×D414yes—
1480C22⋊C4D3×D414yes—
1481C42—22no—
1482C42—34no—
1483C42—62no—
1484C42—62no—
1485C42—62no—
1486C42—62no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—121no—
1492C42—121no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—22no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—41no—
1506C22×C3—41no—
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×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—88no—
1528C22×C3#54814yescomplemented
1529C22×C3C23×D411yescharacteristic
1530C22×C3C23×D411yescharacteristic
1531C22×C3C22×#4111yescharacteristic
1532C22×C3C2×H(5,𝔽2)11yescharacteristic
1533C22×C3C2×2−1+411yescharacteristic
1534C22×C3#58511yescharacteristic
1535C22×C3#58511yescharacteristic
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—22no—
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—88no—
1551C3×C4—22no—
1552C3×C4—22no—
1553C3×C4—22no—
1554C3×C4—22no—
1555C3×C4—22no—
1556C3×C4—41no—
1557C3×C4—41no—
1558C3×C4—41no—
1559C3×C4—41no—
1560C3×C4—41no—
1561Dic3—22no—
1562Dic3—22no—
1563Dic3—22no—
1564Dic3—22no—
1565Dic3—22no—
1566Dic3—41no—
1567Dic3—41no—
1568Dic3—41no—
1569Dic3—41no—
1570Dic3—41no—
1571Dic3—41no—
1572Dic3—41no—
1573Dic3—41no—
1574Dic3D4214yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
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—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—32no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
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—82no—
1624C23—82no—
1625C23—82no—
1626C23—124no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—242no—
1631C23—242no—
1632C23—242no—
1633C23C2×D3×D412yes—
1634C23C2×D3×D412yes—
1635C23C2×#23712yes—
1636C23C2×#23712yes—
1637C23#101012yes—
1638C23C24×D311yescharacteristic
1639Q8—68no—
1640Q8—68no—
1641Q8—124no—
1642Q8—124no—
1643Q8—124no—
1644Q8—124no—
1645Q8—124no—
1646D4—28no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—68no—
1652D4—82no—
1653D4—82no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—242no—
1660D4—242no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
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—32no—
1687C2×C4—32no—
1688C2×C4—32no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—68no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
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—124no—
1733C2×C4—124no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—242no—
1740C2×C4—242no—
1741C2×C4C2×D3×D412yes—
1742C2×C4C2×D3×D412yes—
1743C2×C4C2×D3×D412yes—
1744C2×C4C2×D3×D412yes—
1745C2×C4C2×#23712yes—
1746C2×C3—24no—
1747C2×C3—42no—
1748C2×C3—42no—
1749C2×C3—81no—
1750C2×C3—81no—
1751C2×C3C2×D4211yescharacteristic
1752C2×C3C2×#54811yescharacteristic
1753C2×C3D4×#4111yescharacteristic
1754C2×C3#348911yescharacteristic
1755C2×C3#350011yescharacteristic
1756C2×C3#351411yescharacteristic
1757C2×C3#356111yescharacteristic
1758D3—42no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—62no—
1795C22—62no—
1796C22—62no—
1797C22—88no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—248no—
1810C22#559814yescomplemented
1811C22C22×D3×D411yescharacteristic
1812C22C22×D3×D411yescharacteristic
1813C22C22×#23711yescharacteristic
1814C22C2×#101011yescharacteristic
1815C22#596411yescharacteristic
1816C22D3×H(5,𝔽2)11yescharacteristic
1817C22#596611yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—34no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—62no—
1830C4—62no—
1831C4—62no—
1832C4—62no—
1833C4—62no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C3#5913011yescharacteristic, complemented, Sylow
1843C2—24no—
1844C2—42no—
1845C2—42no—
1846C2—81no—
1847C2—81no—
1848C2—122no—
1849C2—241no—
1850C2C2×#559811yescharacteristic
1851C2#8604211yescharacteristic
1852C2#8640511yescharacteristic
1853C2D4×#23711yescharacteristic
1854C2D3×D4211yescharacteristic
1855C2#8663211yescharacteristic
1856C2#8663711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#59130
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5598C2semidirect
2. C2×#5591C2semidirect
3. C2×D4×Dic6C2semidirect
4. C22×#885C2semidirect
5. C3×#2424C2semidirect
6. #82706C2semidirect
7. #82684C2semidirect
8. Dic3×#121C2semidirect
9. #82589C2semidirect
10. #82582C2semidirect
11. #82579C2semidirect
12. #82398C2semidirect
13. #82110C2semidirect
14. #77427C2semidirect
15. #77315C2semidirect
16. #76935C2semidirect
17. #76915C2semidirect
18. #76904C2semidirect
19. #76902C2semidirect
20. #76715C2semidirect
21. #76687C2semidirect
22. #76452C2semidirect
23. #76312C2semidirect
24. #75666C2semidirect
25. #75482C2semidirect
26. #74728C2semidirect
27. #74718C2semidirect
28. #74701C2semidirect
29. #74689C2semidirect
30. #74413C2semidirect
31. #74381C2semidirect
36. C23×Dic6C22semidirect
38. C2×C3×#121C22semidirect
49. C2×#939C22semidirect
53. C2×#936C22semidirect
57. C2×D4×Dic3C22semidirect
58. C2×D4×Dic3C22semidirect
59. C2×C4×#67C22semidirect
63. C2×#924C22semidirect
68. C2×#897C22semidirect
69. C2×#888C22semidirect
70. C2×#888C22semidirect
71. C2×#887C22semidirect
83. C2×#885C22semidirect
89. C2×#878C22semidirect
90. C2×#878C22semidirect
91. C2×#878C22semidirect
92. C2×#878C22semidirect
93. C2×#878C22semidirect
94. C2×#869C22semidirect
95. C2×C4×Dic6C22semidirect
96. C3×#396C22semidirect
97. C3×#394C22semidirect
98. C3×#394C22semidirect
99. C3×#392C22semidirect
100. C3×#390C22semidirect
101. C3×#388C22semidirect
103. C3×#386C22semidirect
108. #5223C22semidirect
109. #5222C22semidirect
110. #5222C22semidirect
111. #5221C22semidirect
112. #5221C22semidirect
113. #5221C22semidirect
117. #5220C22semidirect
118. #5220C22semidirect
119. #5213C22semidirect
123. #4994C22semidirect
124. #4994C22semidirect
125. #4994C22semidirect
126. #4990C22semidirect
127. #4990C22semidirect
128. #4989C22semidirect
129. #4987C22semidirect
130. #4984C22semidirect
131. #4978C22semidirect
132. #4976C22semidirect
133. Dic3×C4⋊C4C22semidirect
134. Dic3×C4⋊C4C22semidirect
137. #4961C22semidirect
138. #4961C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4958C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4956C22semidirect
149. #4953C22semidirect
150. #4951C22semidirect
151. #4951C22semidirect
152. #4951C22semidirect
153. #4951C22semidirect
155. #4950C22semidirect
156. #4950C22semidirect
157. #4949C22semidirect
158. #4948C22semidirect
159. #4948C22semidirect
160. #4947C22semidirect
161. #4947C22semidirect
162. #4947C22semidirect
163. #4947C22semidirect
164. #4946C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
168. #4942C22semidirect
171. Dic3×C22⋊C4C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4940C22semidirect
175. C4×(C2×D3)⋊C4C22semidirect
176. #4677C22semidirect
177. #4675C22semidirect
178. #4673C22semidirect
179. #4673C22semidirect
180. #4670C22semidirect
181. #4669C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
215. #2424D3semidirect
408. #885D4semidirect
418. #878D4semidirect
486. C2×#121C2×D3semidirect
517. #396C2×D3semidirect
528. #394C2×D3semidirect
529. #394C2×D3semidirect
539. #392C2×D3semidirect
551. #390C2×D3semidirect
565. #388C2×D3semidirect
577. #386C2×D3semidirect
645. C2×C3×D4#41semidirect
1335. C2×D4#237semidirect
1528. C22×C3#548semidirect
1810. C22#5598semidirect
1842. C3#59130semidirect

Maximal subgroups

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

subgroupindex
C2×#55982
C2×#55912
C2×D4×Dic62
C22×#8852
C3×#24242
#827062
#826842
Dic3×#1212
#825892
#825822
#825792
#823982
#821102
#774272
#773152
#769352
#769152
#769042
#769022
#767152
#766872
#764522
#763122
#756662
#754822
#747282
#747182
#747012
#746892
#744132
#743812
#591303