Finite Group Databasebeta

← #10972997

Subgroups — #10972997

Order 768.

3398 conjugacy classes of subgroups.

The subgroup lattice has 1988 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5597C211yesmaximal, characteristic, complemented
2C2×#5592C211yesmaximal, characteristic, complemented
3C2×#5592C211yesmaximal, characteristic, complemented
4C2×C4×#237C211yesmaximal, characteristic, complemented
5C3×#2424C211yesmaximal, characteristic, complemented
6#82706C211yesmaximal, characteristic, complemented
7#82700C211yesmaximal, characteristic, complemented
8#82650C211yesmaximal, characteristic, complemented
9#82587C211yesmaximal, characteristic, complemented
10#82586C211yesmaximal, characteristic, complemented
11#82407C211yesmaximal, characteristic, complemented
12#82109C211yesmaximal, characteristic, complemented
13C2×#4957C211yesmaximal, characteristic, complemented
14#77331C211yesmaximal, characteristic, complemented
15#77286C211yesmaximal, characteristic, complemented
16#76972C211yesmaximal, characteristic, complemented
17#76971C211yesmaximal, characteristic, complemented
18#76903C211yesmaximal, characteristic, complemented
19#76901C211yesmaximal, characteristic, complemented
20#76698C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#76476C211yesmaximal, characteristic, complemented
23#76312C211yesmaximal, characteristic, complemented
24#75957C211yesmaximal, characteristic, complemented
25#75499C211yesmaximal, characteristic, complemented
26#74893C211yesmaximal, characteristic, complemented
27#74869C211yesmaximal, characteristic, complemented
28#74698C211yesmaximal, characteristic, complemented
29#74658C211yesmaximal, characteristic, complemented
30#74605C211yesmaximal, characteristic, complemented
31#74382C211yesmaximal, characteristic, complemented
32#35256—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C22×C3×C22⋊C4C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#939C2211yescharacteristic, complemented
59C2×#938C2211yescharacteristic, complemented
60C2×#937C2211yescharacteristic
61C2×#937C2211yescharacteristic
62C2×D4×Dic3C2211yescharacteristic
63C2×#930C2211yescharacteristic
64C2×#930C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic
66C2×C4×#67C2211yescharacteristic, complemented
67C22×(C2×D3)⋊C4C2211yescharacteristic
68C22×(C2×D3)⋊C4C2211yescharacteristic
69C22×Dic3⋊C4C2211yescharacteristic
70C22×C4×Dic3C2211yescharacteristic
71C22×C4×Dic3C2211yescharacteristic, complemented
72#5597—28no—
73#5592—28no—
74#5592—28no—
75C4×#237—28no—
76C2×#896C2211yescharacteristic, complemented
77C2×#896C2211yescharacteristic, complemented
78C2×#895C2211yescharacteristic, complemented
79C2×#892C2211yescharacteristic, complemented
80C2×#887C2211yescharacteristic, complemented
81C2×#885C2211yescharacteristic
82C2×#885C2211yescharacteristic
83C2×#885C2211yescharacteristic
84C2×#885C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#884C2211yescharacteristic
88C2×#884C2211yescharacteristic
89C2×#884C2211yescharacteristic, complemented
90C2×#884C2211yescharacteristic, complemented
91C2×#884C2211yescharacteristic, complemented
92C2×#884C2211yescharacteristic, complemented
93C2×#882C2211yescharacteristic
94C2×#882C2211yescharacteristic
95C2×#67⋊C4C2211yescharacteristic
96C2×#67⋊C4C2211yescharacteristic, complemented
97C2×#878C2211yescharacteristic, complemented
98C2×#878C2211yescharacteristic, complemented
99C2×#877C2211yescharacteristic
100C2×#877C2211yescharacteristic
101C2×#877C2211yescharacteristic, complemented
102C2×C42×D3C2211yescharacteristic, complemented
103C2×C4×Dic6C2211yescharacteristic, complemented
104C3×#396C2211yescharacteristic, complemented
105C3×#394C2211yescharacteristic, complemented
106C3×#394C2211yescharacteristic, complemented
107C3×#392C2211yescharacteristic, complemented
108C3×#390C2211yescharacteristic, complemented
109C3×#388C2211yescharacteristic, complemented
110C3×#386C2211yescharacteristic
111C3×#386C2211yescharacteristic, complemented
112C3×#385C2211yescharacteristic
113#5223C2211yescharacteristic, complemented
114#5223C2211yescharacteristic, complemented
115#5223C2211yescharacteristic, complemented
116#5222C2211yescharacteristic, complemented
117#5222C2211yescharacteristic, complemented
118#5221C2211yescharacteristic, complemented
119#5220C2211yescharacteristic
120#5220C2211yescharacteristic, complemented
121#5213C2211yescharacteristic
122#5213C2211yescharacteristic, complemented
123#5210C2211yescharacteristic
124#4994C2211yescharacteristic, complemented
125#4994C2211yescharacteristic, complemented
126#4994C2211yescharacteristic, complemented
127#4991C2211yescharacteristic, complemented
128#4991C2211yescharacteristic, complemented
129#4990C2211yescharacteristic, complemented
130#4988C2211yescharacteristic, complemented
131#4976C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4975C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135#4961C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4960C2211yescharacteristic, complemented
140#4960C2211yescharacteristic, complemented
141#4960C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic, complemented
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic
153#4957C2211yescharacteristic
154#4957C2211yescharacteristic
155#4957C2211yescharacteristic
156#4957C2211yescharacteristic, complemented
157#4957C2211yescharacteristic, complemented
158#4957C2211yescharacteristic, complemented
159#4957C2211yescharacteristic, complemented
160#4957C2211yescharacteristic, complemented
161#4957C2211yescharacteristic, complemented
162#4956C2211yescharacteristic, complemented
163#4956C2211yescharacteristic, complemented
164#4951C2211yescharacteristic, complemented
165#4950C2211yescharacteristic
166#4948C2211yescharacteristic, complemented
167#4948C2211yescharacteristic, complemented
168#4948C2211yescharacteristic, complemented
169#4946C2211yescharacteristic
170#4945C2211yescharacteristic, complemented
171#4944C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4940C2211yescharacteristic, complemented
175#4939C2211yescharacteristic, complemented
176#4676C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4672C2211yescharacteristic, complemented
179#4671C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4666C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×#537—31no—
193C2×#535—31no—
194C2×#535—31no—
195C2×C4×#41—31no—
196#2856—31no—
197#2856—31no—
198#2850—31no—
199#2850—31no—
200#2620—31no—
201#2620—31no—
202#2619—31no—
203#2619—31no—
204#2428—31no—
205#2428—31no—
206#2428—31no—
207#2428—31no—
208#2426—31no—
209#2426—31no—
210#2426—31no—
211#2426—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2424—31no—
218#2424—31no—
219#2424D311yescharacteristic, complemented
220#2317—31no—
221#2297—31no—
222C2×#390—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—24no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C2×#237—24no—
263C2×#237—24no—
264C2×#237—24no—
265C2×#237—24no—
266C2×#237—24no—
267C2×#237D418yescomplemented
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C22×Dic6C2311yescharacteristic
279C3×#121—24no—
280C3×#121—42no—
281C3×#120—24no—
282C3×#120—24no—
283C3×C4×D4—24no—
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4—42no—
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C42C2311yescharacteristic
305#953—24no—
306#953—24no—
307C2×#217—42no—
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#940—24no—
324#940—24no—
325#940—24no—
326#940—24no—
327#939—24no—
328#939—24no—
329#939—24no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—24no—
334#939—24no—
335#939—42no—
336#939—42no—
337#938—42no—
338#937—24no—
339#937—24no—
340D4×Dic3—24no—
341#930—24no—
342#930—42no—
343C4×#67—24no—
344C4×#67—24no—
345C2×(C2×D3)⋊C4—42no—
346C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×Dic3⋊C4—24no—
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×C4×Dic3—24no—
395C2×C4×Dic3—24no—
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399C2×C4×Dic3C2311yescharacteristic
400C2×C4×Dic3C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403C2×C4×Dic3C2311yescharacteristic
404C2×C4×Dic3C2311yescharacteristic
405C2×C4×Dic3C2311yescharacteristic
406C2×C4×Dic3C2311yescharacteristic
407#896—24no—
408#896—24no—
409#895—42no—
410#892—24no—
411#887—24no—
412#885—24no—
413#885—24no—
414#885—24no—
415#885—24no—
416#884—24no—
417#884—24no—
418#884—24no—
419#884—24no—
420#884—24no—
421#884—24no—
422#884—42no—
423#884—42no—
424#882—24no—
425#882—24no—
426#67⋊C4—24no—
427#67⋊C4—24no—
428#878—24no—
429#878—24no—
430#877—24no—
431#877—24no—
432#877D418yescomplemented
433C42×D3—24no—
434C4×Dic6—24no—
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
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C22×#41—31no—
452C22×#41—31no—
453C23×D4—31no—
454#537—68no—
455#535—68no—
456#535—68no—
457C2×#127—31no—
458C2×#127—31no—
459C2×#127—31no—
460C2×#127—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×#121—31no—
470C2×#121—31no—
471C2×#121—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#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×#121C2×D311yescharacteristic
492C2×#121C2×D311yescharacteristic, complemented
493C2×#120—31no—
494C2×#120—31no—
495C2×#120—31no—
496C2×#120—31no—
497C2×#120—31no—
498C2×#120—31no—
499C2×#120C2×D311yescharacteristic
500C2×#120C2×D311yescharacteristic
501C4×#41—68no—
502C2×C4×Q8—31no—
503C2×C4×Q8—31no—
504C2×C4×D4—31no—
505C2×C4×D4—31no—
506C2×C4×D4—31no—
507C2×C4×D4—31no—
508C2×C4×D4—31no—
509C2×C4×D4C2×D311yescharacteristic
510C2×#117—31no—
511C2×#117—31no—
512C2×#117—31no—
513C2×#117—31no—
514C22×C4⋊C4—31no—
515C22×C22⋊C4—31no—
516C22×C22⋊C4—31no—
517C22×C22⋊C4—31no—
518C22×C22⋊C4C2×D311yescharacteristic
519C22×C42—31no—
520C22×C42—31no—
521C22×C42—31no—
522#396—31no—
523#396—31no—
524#396—31no—
525#396—31no—
526#396—31no—
527#396—31no—
528#396—31no—
529#396C2×D311yescharacteristic, complemented
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
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#394C2×D311yescharacteristic, complemented
545#394C2×D311yescharacteristic, complemented
546#392—31no—
547#392—31no—
548#392—31no—
549#392—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392C2×D311yescharacteristic, complemented
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#390—31no—
563#390—31no—
564#390—31no—
565#390—31no—
566#390—31no—
567#390—31no—
568#390—31no—
569#390—31no—
570#390—31no—
571#390—31no—
572#390—31no—
573#390C2×D311yescharacteristic, complemented
574#389—31no—
575#389—31no—
576#389—31no—
577#389—31no—
578#388—31no—
579#388—31no—
580#388—31no—
581#388—31no—
582#388—31no—
583#388—31no—
584#388—31no—
585#388C2×D311yescharacteristic, complemented
586#386—31no—
587#386—31no—
588#386—31no—
589#386—31no—
590#386—31no—
591#386—31no—
592#386—31no—
593#386—31no—
594#386—31no—
595#386—31no—
596#386C2×D311yescharacteristic
597#386C2×D311yescharacteristic, complemented
598#385—31no—
599#385—31no—
600#385—31no—
601#385C2×D311yescharacteristic
602#384—31no—
603#384—31no—
604#382—31no—
605#382—31no—
606C4×C22⋊C4—31no—
607C4×C22⋊C4—31no—
608C4×C22⋊C4—31no—
609C4×C22⋊C4—31no—
610C24×C3—22no—
611C24×C3—22no—
612C24×C3—22no—
613C24×C3—41no—
614C24×C3—41no—
615C24×C3—41no—
616C24×C3—41no—
617C24×C3C2411yescharacteristic
618C24×C3C2411yescharacteristic
619C24×C3C2411yescharacteristic
620C24×C3C2411yescharacteristic
621C24×C3C2411yescharacteristic
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—41no—
626C23×D3—41no—
627C23×D3—41no—
628C23×D3—41no—
629C23×D3C2411yescharacteristic
630C23×D3C2411yescharacteristic
631C23×D3C2411yescharacteristic
632C23×D3C2411yescharacteristic
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—22no—
641C2×C3×D4—22no—
642C2×C3×D4—22no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4C2×D414yes—
654C22×C3×C4—22no—
655C22×C3×C4—22no—
656C22×C3×C4—22no—
657C22×C3×C4—22no—
658C22×C3×C4—22no—
659C22×C3×C4—41no—
660C22×C3×C4—41no—
661C22×C3×C4—41no—
662C22×C3×C4—41no—
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—416no—
726C2×#67C2×D414yes—
727C2×#67C2×D414yes—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—22no—
732C22×Dic3—22no—
733C22×Dic3—22no—
734C22×Dic3—22no—
735C22×Dic3—22no—
736C22×Dic3—22no—
737C22×Dic3—22no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3—41no—
741C22×Dic3—41no—
742C22×Dic3C2×D414yes—
743C22×Dic3C2×D414yes—
744C22×Dic3C2×D414yes—
745C22×Dic3#4114yes—
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757C22×Dic3C2411yescharacteristic
758#237—232no—
759#237—416no—
760C2×D12—22no—
761C2×D12—22no—
762C2×D12—22no—
763C2×D12—22no—
764C2×D12—22no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×C4×D3—22no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3C2×D414yes—
787C2×Dic6—22no—
788C2×Dic6—22no—
789C2×Dic6—22no—
790C2×Dic6—22no—
791C2×Dic6—22no—
792C2×Dic6C2×D414yes—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—22no—
795C3×C4⋊C4—41no—
796C3×C4⋊C4—41no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—22no—
804C3×C22⋊C4—22no—
805C3×C22⋊C4—22no—
806C3×C22⋊C4—22no—
807C3×C22⋊C4—22no—
808C3×C22⋊C4—41no—
809C3×C22⋊C4—41no—
810C3×C22⋊C4—41no—
811C3×C22⋊C4C2×D414yes—
812C3×C42—22no—
813#217—22no—
814#217—22no—
815#217—22no—
816#217—22no—
817#217—22no—
818#217—22no—
819#217—22no—
820#217—22no—
821#217—22no—
822#217—22no—
823#217—22no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217C2×D414yes—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—22no—
840(C2×D3)⋊C4—22no—
841(C2×D3)⋊C4—22no—
842(C2×D3)⋊C4—22no—
843(C2×D3)⋊C4—22no—
844(C2×D3)⋊C4—22no—
845(C2×D3)⋊C4—22no—
846(C2×D3)⋊C4—22no—
847(C2×D3)⋊C4—22no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4—41no—
854C4⋊Dic3—22no—
855C4⋊Dic3—22no—
856C4⋊Dic3—41no—
857C4⋊Dic3—41no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—22no—
867Dic3⋊C4—22no—
868Dic3⋊C4—41no—
869Dic3⋊C4—41no—
870Dic3⋊C4—41no—
871Dic3⋊C4—41no—
872Dic3⋊C4C2×D414yes—
873Dic3⋊C4C2×D414yes—
874C4×Dic3—22no—
875C4×Dic3—22no—
876C4×Dic3—22no—
877C4×Dic3—22no—
878C4×Dic3—22no—
879C4×Dic3—22no—
880C4×Dic3—22no—
881C4×Dic3—22no—
882C4×Dic3—22no—
883C4×Dic3C2×D414yes—
884C4×Dic3C2×D414yes—
885C25—31no—
886C25C22×D311yescharacteristic
887C2×#41—38no—
888C2×#41—64no—
889C2×#41—64no—
890C2×#41—64no—
891C2×#41—64no—
892C2×#41—64no—
893C22×Q8—31no—
894C22×Q8—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—31no—
909C22×D4—31no—
910C22×D4—31no—
911C22×D4—31no—
912C22×D4—31no—
913C22×D4—31no—
914C22×D4—31no—
915C22×D4—31no—
916C22×D4—31no—
917C22×D4—31no—
918C22×D4—64no—
919C22×D4—64no—
920C22×D4—64no—
921C22×D4C22×D311yescharacteristic
922C22×D4C22×D311yescharacteristic
923C22×D4C22×D311yescharacteristic
924C22×D4C22×D311yescharacteristic
925C22×D4C22×D311yescharacteristic
926C22×D4C22×D311yescharacteristic
927C22×D4C22×D311yescharacteristic
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4—31no—
932C23×C4—31no—
933C23×C4—31no—
934C23×C4—31no—
935C23×C4—31no—
936C23×C4—31no—
937C23×C4—31no—
938C23×C4C22×D311yescharacteristic
939C23×C4C22×D311yescharacteristic
940C23×C4C22×D311yescharacteristic
941#127—64no—
942#127—64no—
943#127—64no—
944#127—64no—
945#124—64no—
946#124—64no—
947#124—64no—
948#124—64no—
949C22⋊Q8—64no—
950C22⋊Q8—64no—
951C22⋊Q8—64no—
952C22⋊Q8—64no—
953#121—24no—
954#121—42no—
955#121—64no—
956#121—64no—
957#121—64no—
958#121—64no—
959#121—64no—
960#121—64no—
961#121—64no—
962#121—64no—
963#121—64no—
964#121—64no—
965#121—64no—
966#121—64no—
967#121—64no—
968#121—64no—
969#121—64no—
970#121—122no—
971#121—122no—
972#121—122no—
973#121—122no—
974#121—122no—
975#121—122no—
976#121—122no—
977#120—24no—
978#120—24no—
979#120—64no—
980#120—64no—
981#120—64no—
982#120—64no—
983#120—64no—
984#120—64no—
985C4×Q8—64no—
986C4×Q8—64no—
987C4×D4—24no—
988C4×D4—64no—
989C4×D4—64no—
990C4×D4—64no—
991C4×D4—64no—
992C4×D4—64no—
993#117—38no—
994#117—64no—
995#117—64no—
996#117—64no—
997C2×C4⋊C4—31no—
998C2×C4⋊C4—31no—
999C2×C4⋊C4—31no—
1000C2×C4⋊C4—31no—
1001C2×C4⋊C4—31no—
1002C2×C4⋊C4—31no—
1003C2×C4⋊C4—31no—
1004C2×C4⋊C4—31no—
1005C2×C4⋊C4—31no—
1006C2×C4⋊C4—31no—
1007C2×C4⋊C4—31no—
1008C2×C4⋊C4—31no—
1009C2×C4⋊C4—31no—
1010C2×C4⋊C4—31no—
1011C2×C4⋊C4—31no—
1012C2×C4⋊C4—31no—
1013C2×C4⋊C4—31no—
1014C2×C4⋊C4—31no—
1015C2×C4⋊C4—31no—
1016C2×C4⋊C4—31no—
1017C2×C4⋊C4—64no—
1018C2×C4⋊C4C22×D311yescharacteristic
1019C2×C4⋊C4C22×D311yescharacteristic
1020C2×C4⋊C4C22×D311yescharacteristic
1021C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1045C2×C22⋊C4—31no—
1046C2×C22⋊C4—31no—
1047C2×C22⋊C4—31no—
1048C2×C22⋊C4—31no—
1049C2×C22⋊C4—31no—
1050C2×C22⋊C4—31no—
1051C2×C22⋊C4—31no—
1052C2×C22⋊C4—31no—
1053C2×C22⋊C4—31no—
1054C2×C22⋊C4—31no—
1055C2×C22⋊C4—31no—
1056C2×C22⋊C4—31no—
1057C2×C22⋊C4—31no—
1058C2×C22⋊C4—31no—
1059C2×C22⋊C4—31no—
1060C2×C22⋊C4—31no—
1061C2×C22⋊C4—31no—
1062C2×C22⋊C4—31no—
1063C2×C22⋊C4—42no—
1064C2×C22⋊C4—122no—
1065C2×C22⋊C4—122no—
1066C2×C22⋊C4—122no—
1067C2×C22⋊C4C22×D311yescharacteristic
1068C2×C22⋊C4C22×D311yescharacteristic
1069C2×C22⋊C4C22×D311yescharacteristic
1070C2×C22⋊C4C22×D311yescharacteristic
1071C2×C22⋊C4C22×D311yescharacteristic
1072C2×C22⋊C4C22×D311yescharacteristic
1073C2×C22⋊C4C22×D311yescharacteristic
1074C2×C22⋊C4C22×D311yescharacteristic
1075C2×C22⋊C4C22×D311yescharacteristic
1076C2×C22⋊C4C22×D311yescharacteristic
1077C2×C22⋊C4C22×D311yescharacteristic
1078C2×C22⋊C4C22×D311yescharacteristic
1079C2×C22⋊C4C22×D311yescharacteristic
1080C2×C22⋊C4C22×D311yescharacteristic
1081C2×C22⋊C4C22×D311yescharacteristic
1082C2×C42—31no—
1083C2×C42—31no—
1084C2×C42—31no—
1085C2×C42—31no—
1086C2×C42—31no—
1087C2×C42—31no—
1088C2×C42—31no—
1089C2×C42—31no—
1090C2×C42—31no—
1091C2×C42—31no—
1092C2×C42—31no—
1093C2×C42—64no—
1094C2×C42—64no—
1095C2×C42—64no—
1096C2×C42C22×D311yescharacteristic
1097#95—31no—
1098#95—31no—
1099#95—31no—
1100#95—31no—
1101#95—31no—
1102#95—31no—
1103#95—31no—
1104#95—31no—
1105#95—31no—
1106#95—31no—
1107#95—31no—
1108#95—31no—
1109#95C22×D311yescharacteristic
1110#95C22×D311yescharacteristic
1111#95C22×D311yescharacteristic
1112#95C22×D311yescharacteristic
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—21no—
1124C23×C3—21no—
1125C23×C3—21no—
1126C23×C3—21no—
1127C23×C3—21no—
1128C23×C3—21no—
1129C23×C3—21no—
1130C23×C3—21no—
1131C23×C3—21no—
1132C23×C3—21no—
1133C23×C3—21no—
1134C23×C3—21no—
1135C23×C3—21no—
1136C23×C3—21no—
1137C23×C3—21no—
1138C23×C3—21no—
1139C23×C3—21no—
1140C23×C3—21no—
1141C23×C3—21no—
1142C23×C3—21no—
1143C23×C3—21no—
1144C23×C3—44no—
1145C23×C3—44no—
1146C23×C3—44no—
1147C23×C3—82no—
1148C23×C3—82no—
1149C23×C3—82no—
1150C23×C3—82no—
1151C23×C3C22×D412yes—
1152C23×C3C22×D412yes—
1153C23×C3C22×D412yes—
1154C23×C3C2×#4112yes—
1155C23×C3C2511yescharacteristic
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—21no—
1169C22×D3—21no—
1170C22×D3—21no—
1171C22×D3—21no—
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—21no—
1175C22×D3—21no—
1176C22×D3—21no—
1177C22×D3—21no—
1178C22×D3—21no—
1179C22×D3—21no—
1180C22×D3—21no—
1181C22×D3—21no—
1182C22×D3—21no—
1183C22×D3—44no—
1184C22×D3—44no—
1185C22×D3—44no—
1186C22×D3—82no—
1187C22×D3—82no—
1188C22×D3—82no—
1189C22×D3—82no—
1190C22×D3C22×D412yes—
1191C3×D4—28no—
1192C3×D4—44no—
1193C3×D4—82no—
1194C3×D4—82no—
1195C3×D4—82no—
1196C3×D4—82no—
1197C3×D4—82no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—21no—
1222C2×C3×C4—21no—
1223C2×C3×C4—21no—
1224C2×C3×C4—44no—
1225C2×C3×C4—44no—
1226C2×C3×C4—82no—
1227C2×C3×C4C22×D412yes—
1228C2×C3×C4C22×D412yes—
1229C2×C3×C4C22×D412yes—
1230C2×C3×C4H(5,𝔽2)12yes—
1231#67—28no—
1232#67—28no—
1233#67—44no—
1234#67—44no—
1235#67—44no—
1236#67—44no—
1237#67—44no—
1238#67—44no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
1242#67—82no—
1243#67—82no—
1244#67—82no—
1245#67—82no—
1246#67—82no—
1247#67—82no—
1248#67—82no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—28no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—44no—
1277C2×Dic3—44no—
1278C2×Dic3—44no—
1279C2×Dic3—82no—
1280C2×Dic3#121116yescomplemented
1281C2×Dic3C22×D412yes—
1282C2×Dic3C22×D412yes—
1283C2×Dic3C22×D412yes—
1284C2×Dic3C22×D412yes—
1285C2×Dic3C22×D412yes—
1286C2×Dic3C22×D412yes—
1287C2×Dic3C22×D412yes—
1288C2×Dic3C2×#4112yes—
1289C2×Dic3C2×#4112yes—
1290C2×Dic3H(5,𝔽2)12yes—
1291D12—82no—
1292D12—82no—
1293D12—82no—
1294D12—82no—
1295D12—82no—
1296C4×D3—28no—
1297C4×D3—44no—
1298C4×D3—44no—
1299C4×D3—44no—
1300Dic6—28no—
1301Dic6—44no—
1302C24—22no—
1303C24—22no—
1304C24—22no—
1305C24—31no—
1306C24—31no—
1307C24—31no—
1308C24—31no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—62no—
1314C24—62no—
1315C24—62no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24C23×D311yescharacteristic
1321C24C23×D311yescharacteristic
1322C24C23×D311yescharacteristic
1323C24C23×D311yescharacteristic
1324C24C23×D311yescharacteristic
1325#41—632no—
1326#41—1216no—
1327C2×Q8—34no—
1328C2×Q8—62no—
1329C2×Q8—62no—
1330C2×Q8—62no—
1331C2×Q8—62no—
1332C2×Q8—62no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—34no—
1344C2×D4—34no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—1216no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4D3×D414yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—34no—
1430C22×C4—34no—
1431C22×C4—34no—
1432C22×C4—31no—
1433C22×C4—31no—
1434C22×C4—34no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—31no—
1438C22×C4—31no—
1439C22×C4—34no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
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—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4C23×D311yescharacteristic
1476C22×C4C23×D311yescharacteristic
1477C22×C4C23×D311yescharacteristic
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—34no—
1488C4⋊C4—34no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
1500C4⋊C4—62no—
1501C4⋊C4—62no—
1502C4⋊C4—62no—
1503C4⋊C4—121no—
1504C4⋊C4—121no—
1505C4⋊C4—121no—
1506C4⋊C4—121no—
1507C4⋊C4—121no—
1508C4⋊C4—121no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—34no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
1540C22⋊C4—62no—
1541C22⋊C4—62no—
1542C22⋊C4—62no—
1543C22⋊C4—62no—
1544C22⋊C4—62no—
1545C22⋊C4—62no—
1546C22⋊C4—62no—
1547C22⋊C4—62no—
1548C22⋊C4—62no—
1549C22⋊C4—62no—
1550C22⋊C4—62no—
1551C22⋊C4—62no—
1552C22⋊C4—62no—
1553C22⋊C4—62no—
1554C22⋊C4—62no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4D3×D414yes—
1565C42—22no—
1566C42—34no—
1567C42—34no—
1568C42—62no—
1569C42—62no—
1570C42—62no—
1571C42—62no—
1572C42—62no—
1573C42—62no—
1574C42—62no—
1575C42—62no—
1576C42—62no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
1580C22×C3—22no—
1581C22×C3—22no—
1582C22×C3—22no—
1583C22×C3—22no—
1584C22×C3—22no—
1585C22×C3—22no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—41no—
1602C22×C3—41no—
1603C22×C3—41no—
1604C22×C3—41no—
1605C22×C3—41no—
1606C22×C3—41no—
1607C22×C3—41no—
1608C22×C3—41no—
1609C22×C3—41no—
1610C22×C3—41no—
1611C22×C3—88no—
1612C22×C3C2×#12114yes—
1613C22×C3C23×D411yescharacteristic
1614C22×C3C23×D411yescharacteristic
1615C22×C3C22×#4111yescharacteristic
1616C22×C3C2×H(5,𝔽2)11yescharacteristic
1617C22×C3C2×H(5,𝔽2)11yescharacteristic
1618C22×C3#58511yescharacteristic
1619C22×C3#58511yescharacteristic
1620C2×D3—22no—
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—88no—
1649C3×C4—22no—
1650C3×C4—22no—
1651C3×C4—22no—
1652C3×C4—22no—
1653C3×C4—41no—
1654C3×C4—41no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659Dic3—22no—
1660Dic3—22no—
1661Dic3—22no—
1662Dic3—22no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3C2×#12114yes—
1670Dic3C2×#12114yes—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—32no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—82no—
1734C23—82no—
1735C23—82no—
1736C23—82no—
1737C23—124no—
1738C23—124no—
1739C23—124no—
1740C23—242no—
1741C23—242no—
1742C23—242no—
1743C23—242no—
1744C23C2×D3×D412yes—
1745C23C2×D3×D412yes—
1746C23C2×D3×D412yes—
1747C23D3×#4112yes—
1748C23C24×D311yescharacteristic
1749Q8—68no—
1750Q8—124no—
1751D4—28no—
1752D4—44no—
1753D4—68no—
1754D4—68no—
1755D4—82no—
1756D4—82no—
1757D4—82no—
1758D4—82no—
1759D4—82no—
1760D4—124no—
1761D4—124no—
1762D4—124no—
1763D4—124no—
1764D4—124no—
1765D4—124no—
1766D4—242no—
1767D4—242no—
1768D4—242no—
1769D4—242no—
1770D4—242no—
1771D4—242no—
1772D4—242no—
1773D4—242no—
1774D4—242no—
1775D4—242no—
1776D4—242no—
1777D4—242no—
1778D4—242no—
1779D4—242no—
1780D4—242no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—32no—
1808C2×C4—32no—
1809C2×C4—32no—
1810C2×C4—32no—
1811C2×C4—32no—
1812C2×C4—32no—
1813C2×C4—316no—
1814C2×C4—32no—
1815C2×C4—32no—
1816C2×C4—32no—
1817C2×C4—32no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—68no—
1821C2×C4—68no—
1822C2×C4—61no—
1823C2×C4—61no—
1824C2×C4—61no—
1825C2×C4—61no—
1826C2×C4—61no—
1827C2×C4—61no—
1828C2×C4—61no—
1829C2×C4—61no—
1830C2×C4—61no—
1831C2×C4—61no—
1832C2×C4—61no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—82no—
1849C2×C4—124no—
1850C2×C4—124no—
1851C2×C4—124no—
1852C2×C4—124no—
1853C2×C4—124no—
1854C2×C4—124no—
1855C2×C4—242no—
1856C2×C4C2×D3×D412yes—
1857C2×C4C2×D3×D412yes—
1858C2×C4C2×D3×D412yes—
1859C2×C4#100412yes—
1860C2×C3—24no—
1861C2×C3—42no—
1862C2×C3—81no—
1863C2×C3—81no—
1864C2×C3—81no—
1865C2×C3C22×#12111yescharacteristic
1866C2×C3#346011yescharacteristic
1867C2×C3#346011yescharacteristic
1868C2×C3#348811yescharacteristic
1869C2×C3#348811yescharacteristic
1870C2×C3#349811yescharacteristic
1871C2×C3#350011yescharacteristic
1872D3—42no—
1873D3—81no—
1874D3—81no—
1875D3—81no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—62no—
1911C22—62no—
1912C22—62no—
1913C22—88no—
1914C22—121no—
1915C22—121no—
1916C22—121no—
1917C22—121no—
1918C22—121no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—248no—
1940C22D3×#12114yes—
1941C22C22×D3×D411yescharacteristic
1942C22C22×D3×D411yescharacteristic
1943C22C2×#100411yescharacteristic
1944C22C2×D3×#4111yescharacteristic
1945C22#596411yescharacteristic
1946C22D3×H(5,𝔽2)11yescharacteristic
1947C22#596611yescharacteristic
1948C4—22no—
1949C4—22no—
1950C4—22no—
1951C4—22no—
1952C4—34no—
1953C4—34no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—62no—
1961C4—62no—
1962C4—62no—
1963C4—62no—
1964C4—121no—
1965C4—121no—
1966C4—121no—
1967C4—121no—
1968C4—121no—
1969C4—121no—
1970C3#3525611yescharacteristic, complemented, Sylow
1971C2—24no—
1972C2—42no—
1973C2—81no—
1974C2—81no—
1975C2—81no—
1976C2—122no—
1977C2—241no—
1978C2—241no—
1979C2—241no—
1980C2C2×D3×#12111yescharacteristic
1981C2#8602011yescharacteristic
1982C2#8638911yescharacteristic
1983C2#8660711yescharacteristic
1984C2#8660811yescharacteristic
1985C2#8662911yescharacteristic
1986C2#8663211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#35256
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5597C2semidirect
2. C2×#5592C2semidirect
3. C2×#5592C2semidirect
4. C2×C4×#237C2semidirect
5. C3×#2424C2semidirect
6. #82706C2semidirect
7. #82700C2semidirect
8. #82650C2semidirect
9. #82587C2semidirect
10. #82586C2semidirect
11. #82407C2semidirect
12. #82109C2semidirect
13. C2×#4957C2semidirect
14. #77331C2semidirect
15. #77286C2semidirect
16. #76972C2semidirect
17. #76971C2semidirect
18. #76903C2semidirect
19. #76901C2semidirect
20. #76698C2semidirect
21. #76671C2semidirect
22. #76476C2semidirect
23. #76312C2semidirect
24. #75957C2semidirect
25. #75499C2semidirect
26. #74893C2semidirect
27. #74869C2semidirect
28. #74698C2semidirect
29. #74658C2semidirect
30. #74605C2semidirect
31. #74382C2semidirect
37. C2×C3×#121C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
58. C2×#939C22semidirect
59. C2×#938C22semidirect
64. C2×#930C22semidirect
66. C2×C4×#67C22semidirect
71. C22×C4×Dic3C22semidirect
76. C2×#896C22semidirect
77. C2×#896C22semidirect
78. C2×#895C22semidirect
79. C2×#892C22semidirect
80. C2×#887C22semidirect
89. C2×#884C22semidirect
90. C2×#884C22semidirect
91. C2×#884C22semidirect
92. C2×#884C22semidirect
96. C2×#67⋊C4C22semidirect
97. C2×#878C22semidirect
98. C2×#878C22semidirect
101. C2×#877C22semidirect
102. C2×C42×D3C22semidirect
103. C2×C4×Dic6C22semidirect
104. C3×#396C22semidirect
105. C3×#394C22semidirect
106. C3×#394C22semidirect
107. C3×#392C22semidirect
108. C3×#390C22semidirect
109. C3×#388C22semidirect
111. C3×#386C22semidirect
113. #5223C22semidirect
114. #5223C22semidirect
115. #5223C22semidirect
116. #5222C22semidirect
117. #5222C22semidirect
118. #5221C22semidirect
120. #5220C22semidirect
122. #5213C22semidirect
124. #4994C22semidirect
125. #4994C22semidirect
126. #4994C22semidirect
127. #4991C22semidirect
128. #4991C22semidirect
129. #4990C22semidirect
130. #4988C22semidirect
131. #4976C22semidirect
132. #4976C22semidirect
133. #4975C22semidirect
134. #4975C22semidirect
135. #4961C22semidirect
136. #4961C22semidirect
137. #4961C22semidirect
138. #4961C22semidirect
139. #4960C22semidirect
140. #4960C22semidirect
141. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
147. #4958C22semidirect
156. #4957C22semidirect
157. #4957C22semidirect
158. #4957C22semidirect
159. #4957C22semidirect
160. #4957C22semidirect
161. #4957C22semidirect
162. #4956C22semidirect
163. #4956C22semidirect
164. #4951C22semidirect
166. #4948C22semidirect
167. #4948C22semidirect
168. #4948C22semidirect
170. #4945C22semidirect
171. #4944C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4940C22semidirect
175. #4939C22semidirect
176. #4676C22semidirect
177. #4672C22semidirect
178. #4672C22semidirect
179. #4671C22semidirect
180. #4670C22semidirect
181. #4669C22semidirect
182. #4666C22semidirect
183. #4666C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
219. #2424D3semidirect
267. C2×#237D4semidirect
432. #877D4semidirect
492. C2×#121C2×D3semidirect
529. #396C2×D3semidirect
544. #394C2×D3semidirect
545. #394C2×D3semidirect
553. #392C2×D3semidirect
573. #390C2×D3semidirect
585. #388C2×D3semidirect
597. #386C2×D3semidirect
1280. C2×Dic3#121semidirect
1970. C3#35256semidirect

Maximal subgroups

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

subgroupindex
C2×#55972
C2×#55922
C2×C4×#2372
C3×#24242
#827062
#827002
#826502
#825872
#825862
#824072
#821092
C2×#49572
#773312
#772862
#769722
#769712
#769032
#769012
#766982
#766712
#764762
#763122
#759572
#754992
#748932
#748692
#746982
#746582
#746052
#743822
#352563