Finite Group Databasebeta

← #11024902

Subgroups — #11024902

Order 768.

3312 conjugacy classes of subgroups.

The subgroup lattice has 2034 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#940C211yesmaximal, characteristic, complemented
2C2×#5663C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4#84048C211yesmaximal, characteristic, complemented
5#82906C211yesmaximal, characteristic, complemented
6#82884C211yesmaximal, characteristic, complemented
7#82849C211yesmaximal, characteristic, complemented
8#82127C211yesmaximal, characteristic, complemented
9C22⋊C4×#67C211yesmaximal, characteristic, complemented
10#77152C211yesmaximal, characteristic, complemented
11#77134C211yesmaximal, characteristic, complemented
12#77133C211yesmaximal, characteristic, complemented
13#77029C211yesmaximal, characteristic, complemented
14#76984C211yesmaximal, characteristic, complemented
15#76971C211yesmaximal, characteristic, complemented
16#76906C211yesmaximal, characteristic, complemented
17#76903C211yesmaximal, characteristic, complemented
18#74929C211yesmaximal, characteristic, complemented
19#74792C211yesmaximal, characteristic, complemented
20#74698C211yesmaximal, characteristic, complemented
21#74667C211yesmaximal, characteristic, complemented
22#74601C211yesmaximal, characteristic, complemented
23#74599C211yesmaximal, characteristic, complemented
24#74586C211yesmaximal, characteristic, complemented
25#74377C211yesmaximal, characteristic, complemented
26#73854C211yesmaximal, characteristic, complemented
27#73853C211yesmaximal, characteristic, complemented
28#73850C211yesmaximal, characteristic, complemented
29#73824C211yesmaximal, characteristic, complemented
30#73824C211yesmaximal, characteristic, complemented
31#73823C211yesmaximal, characteristic, complemented
32#37694—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C23×#67C2211yescharacteristic
38C23×D12C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic, complemented
41C22×C3×C22⋊C4C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#940—28no—
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#940C2211yescharacteristic
50C2×#940C2211yescharacteristic
51C2×#940C2211yescharacteristic
52C2×#940C2211yescharacteristic
53C2×#940C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#930C2211yescharacteristic, complemented
57C2×#930C2211yescharacteristic, complemented
58C2×C4×#67C2211yescharacteristic, complemented
59C2×C4×#67C2211yescharacteristic, complemented
60C22×C4×Dic3C2211yescharacteristic
61#5663—28no—
62C2×#895C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic, complemented
66C2×#892C2211yescharacteristic, complemented
67C2×#889C2211yescharacteristic, complemented
68C2×#886C2211yescharacteristic, complemented
69C2×#886C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×#67⋊C4C2211yescharacteristic, complemented
83C2×D3×C22⋊C4C2211yescharacteristic
84C2×D3×C22⋊C4C2211yescharacteristic
85C3×#394C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#394C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic
92C3×#385C2211yescharacteristic
93C3×#379C2211yescharacteristic
94C3×#379C2211yescharacteristic
95C3×#379C2211yescharacteristic
96#5247C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5210C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118Dic3×C4⋊C4C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4958C2211yescharacteristic
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4958C2211yescharacteristic, complemented
147#4958C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4957C2211yescharacteristic, complemented
154#4957C2211yescharacteristic, complemented
155#4957C2211yescharacteristic, complemented
156#4956C2211yescharacteristic, complemented
157#4956C2211yescharacteristic, complemented
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4956C2211yescharacteristic, complemented
161#4956C2211yescharacteristic, complemented
162#4956C2211yescharacteristic, complemented
163#4956C2211yescharacteristic, complemented
164#4955C2211yescharacteristic
165#4955C2211yescharacteristic
166#4955C2211yescharacteristic
167#4955C2211yescharacteristic
168#4950C2211yescharacteristic
169#4950C2211yescharacteristic
170#4946C2211yescharacteristic
171#4942C2211yescharacteristic
172#4942C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic
174#4672C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4671C2211yescharacteristic, complemented
177#4671C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#127—31no—
192#2851—31no—
193#2709—31no—
194#2709—31no—
195#2709—31no—
196#2709—31no—
197#2673—31no—
198#2673—31no—
199#2673—31no—
200#2673—31no—
201#2641—31no—
202#2619—31no—
203#2445—31no—
204#2445—31no—
205#2428—31no—
206#2428—31no—
207#2410—31no—
208#2410—31no—
209#2410—31no—
210#2410—31no—
211#2408—31no—
212#2408—31no—
213#2405—31no—
214#2405—31no—
215#2405—31no—
216#2405D311yescharacteristic, complemented
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2328—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
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×#67—24no—
239C22×#67—24no—
240C22×#67—24no—
241C22×#67—42no—
242C22×#67—42no—
243C22×#67—42no—
244C22×#67—42no—
245C22×#67—42no—
246C22×#67—42no—
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C22×#67C2311yescharacteristic
265C22×#67C2311yescharacteristic
266C22×#67C2311yescharacteristic
267C22×#67C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C23×Dic3C2311yescharacteristic
270C23×Dic3C2311yescharacteristic
271C23×Dic3C2311yescharacteristic
272C22×D12—24no—
273C22×D12—42no—
274C22×D12—42no—
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×D12C2311yescharacteristic
281C22×D12C2311yescharacteristic
282C22×D12C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×C4×D3C2311yescharacteristic
287C22×C4×D3C2311yescharacteristic
288C3×#123—24no—
289C3×#123—42no—
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313#953—42no—
314#953—42no—
315C2×#217—42no—
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329#940—24no—
330#940—24no—
331#940—24no—
332#940—24no—
333#940—24no—
334#940—24no—
335#940—24no—
336#940D418yescomplemented
337#939—24no—
338#939—42no—
339#930—24no—
340#930—42no—
341C4×#67—24no—
342C4×#67—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×C4×Dic3—24no—
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393#895—24no—
394#895—42no—
395#894—24no—
396#894—42no—
397#892—24no—
398#889—24no—
399#886—24no—
400#886—42no—
401#884—24no—
402#884—24no—
403#884—24no—
404#884—42no—
405#884—42no—
406#884—42no—
407#883—24no—
408#883—42no—
409#882—42no—
410#882—42no—
411#67⋊C4—24no—
412#67⋊C4—24no—
413#67⋊C4—42no—
414D3×C22⋊C4—42no—
415D3×C22⋊C4—42no—
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C23×D4—31no—
439C23×D4—31no—
440C23×D4—31no—
441C23×D4—31no—
442C23×D4—31no—
443C23×D4C2×D311yescharacteristic
444#540—68no—
445C2×#127—31no—
446C2×#127—31no—
447C2×#127—31no—
448C2×#127—31no—
449C2×#127—31no—
450C2×#127—31no—
451C2×#127—31no—
452C2×#127—31no—
453C2×#127—68no—
454C2×#125—31no—
455C2×#123—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123C2×D311yescharacteristic, complemented
462C2×#123C2×D311yescharacteristic, complemented
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#121—31no—
469C2×#121—31no—
470C2×#121—31no—
471C2×#121—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120—31no—
479C2×C4×D4—31no—
480C2×C4×D4—31no—
481C2×C4×D4—31no—
482C2×C4×D4—31no—
483C2×C4×D4—31no—
484C2×#117—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4—31no—
488C22×C22⋊C4C2×D311yescharacteristic
489C22×C42—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394C2×D311yescharacteristic, complemented
515#394C2×D311yescharacteristic, complemented
516#394C2×D311yescharacteristic, complemented
517#394C2×D311yescharacteristic, complemented
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#389—31no—
539#389—31no—
540#388—31no—
541#388—31no—
542#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386C2×D311yescharacteristic, complemented
573#386C2×D311yescharacteristic, complemented
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385C2×D311yescharacteristic
579#385C2×D311yescharacteristic
580#382—31no—
581#380—31no—
582#380—31no—
583#379—31no—
584#379—31no—
585#379—31no—
586#379—31no—
587#379—31no—
588#379C2×D311yescharacteristic
589#379C2×D311yescharacteristic
590#379C2×D311yescharacteristic
591C4×C4⋊C4—31no—
592C4×C22⋊C4—31no—
593C4×C22⋊C4—31no—
594#376—31no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—22no—
600C24×C3—22no—
601C24×C3—22no—
602C24×C3—22no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3—41no—
607C24×C3—41no—
608C24×C3—41no—
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3—41no—
626C23×D3—41no—
627C23×D3—41no—
628C23×D3C2411yescharacteristic
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—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—416no—
645C2×C3×D4C2×D414yes—
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
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—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—416no—
699C2×#67—416no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
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—416no—
717C2×#67—416no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—41no—
728C2×#67C2×D414yes—
729C2×#67C2×D414yes—
730C2×#67C2×D414yes—
731C2×#67C2×D414yes—
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×Dic3—41no—
743C22×Dic3#4114yes—
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C2×D12—22no—
756C2×D12—22no—
757C2×D12—22no—
758C2×D12—22no—
759C2×D12—22no—
760C2×D12—22no—
761C2×D12—22no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—416no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×D12—41no—
776C2×D12—41no—
777C2×D12—41no—
778C2×D12—41no—
779C2×D12C2×D414yes—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—22no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C2×C4×D3—41no—
792C2×C4×D3—41no—
793C2×C4×D3—41no—
794C2×C4×D3—41no—
795C3×C4⋊C4—22no—
796C3×C4⋊C4—22no—
797C3×C4⋊C4—22no—
798C3×C4⋊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—41no—
807C3×C22⋊C4—41no—
808C3×C22⋊C4—41no—
809C3×C22⋊C4—41no—
810C3×C22⋊C4—41no—
811C3×C22⋊C4—41no—
812C3×C22⋊C4—41no—
813C3×C22⋊C4—41no—
814C3×C22⋊C4—41no—
815C3×C22⋊C4—41no—
816C3×C22⋊C4—41no—
817#217—22no—
818#217—22no—
819#217—22no—
820#217—22no—
821#217—41no—
822#217—41no—
823#217—41no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217—41no—
828#217—41no—
829#217—41no—
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—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
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—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858(C2×D3)⋊C4—41no—
859C4⋊Dic3—22no—
860C4⋊Dic3—22no—
861C4⋊Dic3—22no—
862C4⋊Dic3—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—22no—
867Dic3⋊C4—22no—
868Dic3⋊C4—22no—
869Dic3⋊C4—22no—
870Dic3⋊C4—22no—
871Dic3⋊C4—22no—
872C4×Dic3—22no—
873C4×Dic3—22no—
874C4×Dic3—22no—
875C4×Dic3—22no—
876C4×Dic3—22no—
877C4×Dic3—22no—
878C4×Dic3C2×D414yes—
879C25—31no—
880C25—31no—
881C25C22×D311yescharacteristic
882C25C22×D311yescharacteristic
883C22×D4—24no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—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—42no—
914C22×D4—42no—
915C22×D4—64no—
916C22×D4—64no—
917C22×D4—64no—
918C22×D4—64no—
919C22×D4—64no—
920C22×D4—64no—
921C22×D4—64no—
922C22×D4—122no—
923C22×D4—122no—
924C22×D4—122no—
925C22×D4—122no—
926C22×D4—122no—
927C22×D4—122no—
928C22×D4—122no—
929C22×D4—122no—
930C22×D4C22×D311yescharacteristic
931C22×D4C22×D311yescharacteristic
932C22×D4C22×D311yescharacteristic
933C22×D4C22×D311yescharacteristic
934C23×C4—31no—
935C23×C4—31no—
936C23×C4—31no—
937C23×C4—31no—
938C23×C4—31no—
939C23×C4—31no—
940C23×C4—31no—
941C23×C4—31no—
942C23×C4—31no—
943C23×C4C22×D311yescharacteristic
944C23×C4C22×D311yescharacteristic
945C23×C4C22×D311yescharacteristic
946#127—38no—
947#127—64no—
948#127—64no—
949#127—64no—
950#127—64no—
951#127—64no—
952#127—64no—
953#127—64no—
954#125—64no—
955#123—24no—
956#123—42no—
957#123—64no—
958#123—64no—
959#123—64no—
960#123—122no—
961#123—122no—
962#123—122no—
963#121—64no—
964#121—64no—
965#121—64no—
966#121—64no—
967#121—64no—
968#121—64no—
969#121—122no—
970#121—122no—
971#121—122no—
972#121—122no—
973#121—122no—
974#121—122no—
975#120—122no—
976#120—122no—
977#120—122no—
978#120—122no—
979C4×D4—64no—
980C4×D4—64no—
981C4×D4—64no—
982C4×D4—122no—
983C4×D4—122no—
984#117—64no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—31no—
990C2×C4⋊C4—31no—
991C2×C4⋊C4—31no—
992C2×C4⋊C4—31no—
993C2×C4⋊C4—31no—
994C2×C4⋊C4—31no—
995C2×C4⋊C4—31no—
996C2×C4⋊C4—31no—
997C2×C4⋊C4—31no—
998C2×C4⋊C4C22×D311yescharacteristic
999C2×C4⋊C4C22×D311yescharacteristic
1000C2×C4⋊C4C22×D311yescharacteristic
1001C2×C4⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—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—42no—
1045C2×C22⋊C4—122no—
1046C2×C22⋊C4—122no—
1047C2×C22⋊C4—122no—
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C22⋊C4C22×D311yescharacteristic
1057C2×C22⋊C4C22×D311yescharacteristic
1058C2×C22⋊C4C22×D311yescharacteristic
1059C2×C22⋊C4C22×D311yescharacteristic
1060C2×C22⋊C4C22×D311yescharacteristic
1061C2×C22⋊C4C22×D311yescharacteristic
1062C2×C22⋊C4C22×D311yescharacteristic
1063C2×C22⋊C4C22×D311yescharacteristic
1064C2×C22⋊C4C22×D311yescharacteristic
1065C2×C22⋊C4C22×D311yescharacteristic
1066C2×C42—31no—
1067C2×C42—31no—
1068C2×C42—31no—
1069C2×C42—31no—
1070C2×C42—31no—
1071C2×C42—31no—
1072C2×C42—31no—
1073C2×C42—64no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95—31no—
1082#95—31no—
1083#95—31no—
1084#95—31no—
1085#95—31no—
1086#95—31no—
1087#95—31no—
1088#95—31no—
1089#95—31no—
1090#95—31no—
1091#95—31no—
1092#95C22×D311yescharacteristic
1093#95C22×D311yescharacteristic
1094#95C22×D311yescharacteristic
1095#95C22×D311yescharacteristic
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—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
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—44no—
1127C23×C3—44no—
1128C23×C3—44no—
1129C23×C3—44no—
1130C23×C3—44no—
1131C23×C3—44no—
1132C23×C3—44no—
1133C23×C3—44no—
1134C23×C3—82no—
1135C23×C3—82no—
1136C23×C3—82no—
1137C23×C3—82no—
1138C23×C3—82no—
1139C23×C3—82no—
1140C23×C3C22×D412yes—
1141C23×C3C22×D412yes—
1142C23×C3C2×#4112yes—
1143C23×C3H(5,𝔽2)12yes—
1144C23×C3H(5,𝔽2)12yes—
1145C23×C3C2511yescharacteristic
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
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—44no—
1180C22×D3—44no—
1181C22×D3—44no—
1182C22×D3—44no—
1183C22×D3—44no—
1184C22×D3—44no—
1185C22×D3—44no—
1186C22×D3—44no—
1187C22×D3—82no—
1188C22×D3—82no—
1189C22×D3—82no—
1190C22×D3—82no—
1191C22×D3—82no—
1192C22×D3—82no—
1193C22×D3C22×D412yes—
1194C22×D3C22×D412yes—
1195C3×D4—44no—
1196C3×D4—44no—
1197C3×D4—44no—
1198C3×D4—44no—
1199C2×C3×C4—28no—
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—21no—
1225C2×C3×C4—21no—
1226C2×C3×C4—21no—
1227C2×C3×C4—21no—
1228C2×C3×C4—82no—
1229C2×C3×C4—82no—
1230C2×C3×C4C22×D412yes—
1231C2×C3×C4H(5,𝔽2)12yes—
1232#67—28no—
1233#67—28no—
1234#67—44no—
1235#67—44no—
1236#67—44no—
1237#67—44no—
1238#67—44no—
1239#67—44no—
1240#67—44no—
1241#67—44no—
1242#67—44no—
1243#67—44no—
1244#67—44no—
1245#67—44no—
1246#67—44no—
1247#67—44no—
1248#67—44no—
1249#67—82no—
1250#67—82no—
1251#67—82no—
1252#67—82no—
1253C2×Dic3—28no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—28no—
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—21no—
1277C2×Dic3—21no—
1278C2×Dic3—21no—
1279C2×Dic3—21no—
1280C2×Dic3—21no—
1281C2×Dic3—21no—
1282C2×Dic3—82no—
1283C2×Dic3—82no—
1284C2×Dic3C22×D412yes—
1285C2×Dic3C22×D412yes—
1286C2×Dic3C2×#4112yes—
1287C2×Dic3C2×#4112yes—
1288C2×Dic3H(5,𝔽2)12yes—
1289C2×Dic3H(5,𝔽2)12yes—
1290D12—44no—
1291D12—44no—
1292D12—44no—
1293D12—44no—
1294D12—82no—
1295D12—82no—
1296D12—82no—
1297D12—82no—
1298C4×D3—44no—
1299C4×D3—82no—
1300C4×D3—82no—
1301C4×D3—82no—
1302C4×D3—82no—
1303C24—22no—
1304C24—22no—
1305C24—22no—
1306C24—22no—
1307C24—22no—
1308C24—22no—
1309C24—22no—
1310C24—22no—
1311C24—31no—
1312C24—31no—
1313C24—31no—
1314C24—31no—
1315C24—31no—
1316C24—41no—
1317C24—41no—
1318C24—41no—
1319C24—41no—
1320C24—41no—
1321C24—41no—
1322C24—62no—
1323C24—62no—
1324C24—62no—
1325C24—62no—
1326C24—62no—
1327C24—62no—
1328C24—62no—
1329C24—62no—
1330C24—121no—
1331C24—121no—
1332C24—121no—
1333C24—121no—
1334C24—121no—
1335C24—121no—
1336C24C23×D311yescharacteristic
1337C24C23×D311yescharacteristic
1338C24C23×D311yescharacteristic
1339C24C23×D311yescharacteristic
1340C24C23×D311yescharacteristic
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—34no—
1347C2×D4—34no—
1348C2×D4—34no—
1349C2×D4—34no—
1350C2×D4—34no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—416no—
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—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—62no—
1397C2×D4—62no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—1216no—
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—1216no—
1416C2×D4—1216no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—121no—
1433C2×D4—1216no—
1434C2×D4—1216no—
1435C2×D4—121no—
1436C2×D4—121no—
1437C2×D4—121no—
1438C2×D4—121no—
1439C2×D4—121no—
1440C2×D4—121no—
1441C2×D4—121no—
1442C2×D4—121no—
1443C2×D4—121no—
1444C2×D4—121no—
1445C2×D4D3×D414yes—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—31no—
1451C22×C4—34no—
1452C22×C4—31no—
1453C22×C4—31no—
1454C22×C4—31no—
1455C22×C4—31no—
1456C22×C4—31no—
1457C22×C4—31no—
1458C22×C4—31no—
1459C22×C4—31no—
1460C22×C4—31no—
1461C22×C4—31no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—62no—
1468C22×C4—62no—
1469C22×C4—62no—
1470C22×C4—62no—
1471C22×C4—62no—
1472C22×C4—62no—
1473C22×C4—62no—
1474C22×C4—62no—
1475C22×C4—62no—
1476C22×C4—62no—
1477C22×C4—62no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4—121no—
1481C22×C4—121no—
1482C22×C4—121no—
1483C22×C4—121no—
1484C22×C4—121no—
1485C22×C4—121no—
1486C22×C4—121no—
1487C22×C4—121no—
1488C22×C4—121no—
1489C22×C4—121no—
1490C22×C4—121no—
1491C22×C4—121no—
1492C22×C4—121no—
1493C22×C4C23×D311yescharacteristic
1494C22×C4C23×D311yescharacteristic
1495C22×C4C23×D311yescharacteristic
1496C22×C4C23×D311yescharacteristic
1497C22×C4C23×D311yescharacteristic
1498C22×C4C23×D311yescharacteristic
1499C22×C4C23×D311yescharacteristic
1500C22×C4C23×D311yescharacteristic
1501C22×C4C23×D311yescharacteristic
1502C22×C4C23×D311yescharacteristic
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—62no—
1508C4⋊C4—62no—
1509C4⋊C4—62no—
1510C4⋊C4—62no—
1511C4⋊C4—62no—
1512C4⋊C4—62no—
1513C4⋊C4—62no—
1514C4⋊C4—62no—
1515C4⋊C4—62no—
1516C4⋊C4—62no—
1517C4⋊C4—62no—
1518C4⋊C4—62no—
1519C4⋊C4—62no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
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—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
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⋊C4—121no—
1565C22⋊C4—121no—
1566C22⋊C4—121no—
1567C22⋊C4—121no—
1568C22⋊C4—121no—
1569C22⋊C4—121no—
1570C22⋊C4—121no—
1571C22⋊C4—121no—
1572C22⋊C4—121no—
1573C22⋊C4—121no—
1574C22⋊C4—121no—
1575C22⋊C4—121no—
1576C22⋊C4—121no—
1577C22⋊C4—121no—
1578C22⋊C4—121no—
1579C22⋊C4—121no—
1580C42—34no—
1581C42—62no—
1582C42—62no—
1583C42—62no—
1584C42—62no—
1585C42—62no—
1586C42—62no—
1587C22×C3—22no—
1588C22×C3—22no—
1589C22×C3—22no—
1590C22×C3—22no—
1591C22×C3—22no—
1592C22×C3—22no—
1593C22×C3—22no—
1594C22×C3—22no—
1595C22×C3—22no—
1596C22×C3—22no—
1597C22×C3—22no—
1598C22×C3—22no—
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—41no—
1612C22×C3—41no—
1613C22×C3—41no—
1614C22×C3—41no—
1615C22×C3—41no—
1616C22×C3—41no—
1617C22×C3—41no—
1618C22×C3—41no—
1619C22×C3—41no—
1620C22×C3—41no—
1621C22×C3—88no—
1622C22×C3—88no—
1623C22×C3#54014yescomplemented
1624C22×C3C23×D411yescharacteristic
1625C22×C3C22×#4111yescharacteristic
1626C22×C3C2×H(5,𝔽2)11yescharacteristic
1627C22×C3C2×H(5,𝔽2)11yescharacteristic
1628C22×C3C2×H(5,𝔽2)11yescharacteristic
1629C22×C3C2×H(5,𝔽2)11yescharacteristic
1630C22×C3C2×H(5,𝔽2)11yescharacteristic
1631C2×D3—22no—
1632C2×D3—22no—
1633C2×D3—22no—
1634C2×D3—22no—
1635C2×D3—22no—
1636C2×D3—22no—
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—41no—
1649C2×D3—41no—
1650C2×D3—41no—
1651C2×D3—41no—
1652C2×D3—41no—
1653C2×D3—41no—
1654C2×D3—41no—
1655C2×D3—41no—
1656C2×D3—41no—
1657C2×D3—41no—
1658C2×D3—41no—
1659C2×D3—41no—
1660C2×D3—41no—
1661C2×D3—41no—
1662C2×D3—41no—
1663C2×D3—41no—
1664C2×D3—41no—
1665C2×D3—41no—
1666C2×D3—88no—
1667C2×D3—88no—
1668C3×C4—22no—
1669C3×C4—22no—
1670C3×C4—41no—
1671C3×C4—41no—
1672C3×C4—41no—
1673C3×C4—41no—
1674C3×C4—41no—
1675C3×C4—41no—
1676C3×C4—41no—
1677C3×C4—41no—
1678Dic3—22no—
1679Dic3—22no—
1680Dic3—22no—
1681Dic3—41no—
1682Dic3—41no—
1683Dic3—41no—
1684Dic3—41no—
1685Dic3—41no—
1686Dic3—41no—
1687Dic3—41no—
1688Dic3#54614yes—
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—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—32no—
1720C23—32no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23—44no—
1728C23—44no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—61no—
1742C23—61no—
1743C23—61no—
1744C23—61no—
1745C23—61no—
1746C23—61no—
1747C23—61no—
1748C23—61no—
1749C23—61no—
1750C23—61no—
1751C23—61no—
1752C23—61no—
1753C23—61no—
1754C23—61no—
1755C23—61no—
1756C23—61no—
1757C23—61no—
1758C23—61no—
1759C23—61no—
1760C23—61no—
1761C23—61no—
1762C23—82no—
1763C23—82no—
1764C23—82no—
1765C23—82no—
1766C23—82no—
1767C23—82no—
1768C23—124no—
1769C23—124no—
1770C23—124no—
1771C23—124no—
1772C23—124no—
1773C23—124no—
1774C23—124no—
1775C23—124no—
1776C23—242no—
1777C23—242no—
1778C23—242no—
1779C23—242no—
1780C23—242no—
1781C23—242no—
1782C23C2×D3×D412yes—
1783C23C2×D3×D412yes—
1784C23#100412yes—
1785C23D3×#4112yes—
1786C23#100912yes—
1787C23C24×D311yescharacteristic
1788D4—44no—
1789D4—44no—
1790D4—44no—
1791D4—44no—
1792D4—68no—
1793D4—68no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—124no—
1799D4—124no—
1800D4—124no—
1801D4—124no—
1802D4—124no—
1803D4—124no—
1804D4—124no—
1805D4—124no—
1806D4—124no—
1807D4—124no—
1808D4—124no—
1809D4—124no—
1810D4—124no—
1811D4—124no—
1812D4—124no—
1813D4—242no—
1814D4—242no—
1815D4—242no—
1816D4—242no—
1817D4—242no—
1818D4—242no—
1819D4—242no—
1820D4—242no—
1821C2×C4—28no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—32no—
1851C2×C4—32no—
1852C2×C4—32no—
1853C2×C4—32no—
1854C2×C4—32no—
1855C2×C4—32no—
1856C2×C4—68no—
1857C2×C4—68no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—61no—
1868C2×C4—61no—
1869C2×C4—61no—
1870C2×C4—61no—
1871C2×C4—61no—
1872C2×C4—61no—
1873C2×C4—61no—
1874C2×C4—61no—
1875C2×C4—61no—
1876C2×C4—61no—
1877C2×C4—61no—
1878C2×C4—61no—
1879C2×C4—61no—
1880C2×C4—61no—
1881C2×C4—61no—
1882C2×C4—61no—
1883C2×C4—61no—
1884C2×C4—61no—
1885C2×C4—82no—
1886C2×C4—82no—
1887C2×C4—124no—
1888C2×C4—242no—
1889C2×C4—242no—
1890C2×C4—242no—
1891C2×C4—242no—
1892C2×C4—242no—
1893C2×C4—242no—
1894C2×C4C2×D3×D412yes—
1895C2×C4#100412yes—
1896C2×C3—24no—
1897C2×C3—42no—
1898C2×C3—42no—
1899C2×C3—81no—
1900C2×C3—81no—
1901C2×C3C2×#54011yescharacteristic
1902C2×C3C2×#54611yescharacteristic
1903C2×C3#348411yescharacteristic
1904C2×C3#348411yescharacteristic
1905C2×C3#350811yescharacteristic
1906C2×C3#354311yescharacteristic
1907C2×C3#354311yescharacteristic
1908D3—42no—
1909D3—42no—
1910D3—81no—
1911D3—81no—
1912D3—81no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—62no—
1948C22—62no—
1949C22—62no—
1950C22—62no—
1951C22—62no—
1952C22—62no—
1953C22—88no—
1954C22—88no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—121no—
1968C22—121no—
1969C22—121no—
1970C22—121no—
1971C22—121no—
1972C22—121no—
1973C22—121no—
1974C22—121no—
1975C22—121no—
1976C22—121no—
1977C22—121no—
1978C22—121no—
1979C22—121no—
1980C22—121no—
1981C22—121no—
1982C22—121no—
1983C22—121no—
1984C22—248no—
1985C22—248no—
1986C22#566314yescomplemented
1987C22C22×D3×D411yescharacteristic
1988C22C2×#100411yescharacteristic
1989C22C2×#100411yescharacteristic
1990C22C2×D3×#4111yescharacteristic
1991C22C2×#100911yescharacteristic
1992C22D3×H(5,𝔽2)11yescharacteristic
1993C22D3×H(5,𝔽2)11yescharacteristic
1994C4—22no—
1995C4—22no—
1996C4—34no—
1997C4—41no—
1998C4—41no—
1999C4—41no—
2000C4—41no—
2001C4—41no—
2002C4—41no—
2003C4—41no—
2004C4—41no—
2005C4—62no—
2006C4—62no—
2007C4—62no—
2008C4—121no—
2009C4—121no—
2010C4—121no—
2011C4—121no—
2012C4—121no—
2013C4—121no—
2014C4—121no—
2015C3#3769411yescharacteristic, complemented, Sylow
2016C2—24no—
2017C2—42no—
2018C2—42no—
2019C2—81no—
2020C2—81no—
2021C2—122no—
2022C2—122no—
2023C2—241no—
2024C2—241no—
2025C2—241no—
2026C2#8591911yescharacteristic
2027C2C2×#566311yescharacteristic
2028C2#8630311yescharacteristic
2029C2#8663311yescharacteristic
2030C2#8665111yescharacteristic
2031C2D3×#54611yescharacteristic
2032C2#8666211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
hypercenter#2405D3
hypocenterC3#37694
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C22×#940C2semidirect
2. C2×#5663C2semidirect
3. C3×#2405C2semidirect
4. #84048C2semidirect
5. #82906C2semidirect
6. #82884C2semidirect
7. #82849C2semidirect
8. #82127C2semidirect
9. C22⋊C4×#67C2semidirect
10. #77152C2semidirect
11. #77134C2semidirect
12. #77133C2semidirect
13. #77029C2semidirect
14. #76984C2semidirect
15. #76971C2semidirect
16. #76906C2semidirect
17. #76903C2semidirect
18. #74929C2semidirect
19. #74792C2semidirect
20. #74698C2semidirect
21. #74667C2semidirect
22. #74601C2semidirect
23. #74599C2semidirect
24. #74586C2semidirect
25. #74377C2semidirect
26. #73854C2semidirect
27. #73853C2semidirect
28. #73850C2semidirect
29. #73824C2semidirect
30. #73824C2semidirect
31. #73823C2semidirect
39. C2×C3×#123C22semidirect
40. C2×C3×#123C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#930C22semidirect
57. C2×#930C22semidirect
58. C2×C4×#67C22semidirect
59. C2×C4×#67C22semidirect
62. C2×#895C22semidirect
63. C2×#895C22semidirect
64. C2×#894C22semidirect
65. C2×#894C22semidirect
66. C2×#892C22semidirect
67. C2×#889C22semidirect
68. C2×#886C22semidirect
69. C2×#886C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#883C22semidirect
77. C2×#883C22semidirect
81. C2×#67⋊C4C22semidirect
82. C2×#67⋊C4C22semidirect
85. C3×#394C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#394C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4980C22semidirect
115. #4978C22semidirect
116. #4978C22semidirect
117. #4976C22semidirect
118. Dic3×C4⋊C4C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
146. #4958C22semidirect
147. #4958C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
153. #4957C22semidirect
154. #4957C22semidirect
155. #4957C22semidirect
156. #4956C22semidirect
157. #4956C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4956C22semidirect
161. #4956C22semidirect
162. #4956C22semidirect
163. #4956C22semidirect
174. #4672C22semidirect
175. #4672C22semidirect
176. #4671C22semidirect
177. #4671C22semidirect
178. #4670C22semidirect
179. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4650C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
216. #2405D3semidirect
336. #940D4semidirect
461. C2×#123C2×D3semidirect
462. C2×#123C2×D3semidirect
514. #394C2×D3semidirect
515. #394C2×D3semidirect
516. #394C2×D3semidirect
517. #394C2×D3semidirect
572. #386C2×D3semidirect
573. #386C2×D3semidirect
1623. C22×C3#540semidirect
1986. C22#5663semidirect
2015. C3#37694semidirect

Maximal subgroups

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

subgroupindex
C22×#9402
C2×#56632
C3×#24052
#840482
#829062
#828842
#828492
#821272
C22⋊C4×#672
#771522
#771342
#771332
#770292
#769842
#769712
#769062
#769032
#749292
#747922
#746982
#746672
#746012
#745992
#745862
#743772
#738542
#738532
#738502
#738242
#738232
#376943