Finite Group Databasebeta

← #11167666

Subgroups — #11167666

Order 768.

2780 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5605C211yesmaximal, characteristic, complemented
2C2×#5601C211yesmaximal, characteristic, complemented
3C3×#2543C211yesmaximal, characteristic, complemented
4#82702C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#82655C211yesmaximal, characteristic, complemented
7#82642C211yesmaximal, characteristic, complemented
8D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
9#82340C211yesmaximal, characteristic, complemented
10#77854C211yesmaximal, characteristic, complemented
11#77850C211yesmaximal, characteristic, complemented
12#77696C211yesmaximal, characteristic, complemented
13#77472C211yesmaximal, characteristic, complemented
14#77114C211yesmaximal, characteristic, complemented
15#77024C211yesmaximal, characteristic, complemented
16#76771C211yesmaximal, characteristic, complemented
17#76771C211yesmaximal, characteristic, complemented
18#75919C211yesmaximal, characteristic, complemented
19#75885C211yesmaximal, characteristic, complemented
20#75852C211yesmaximal, characteristic, complemented
21#75596C211yesmaximal, characteristic, complemented
22#74901C211yesmaximal, characteristic, complemented
23#74893C211yesmaximal, characteristic, complemented
24#74889C211yesmaximal, characteristic, complemented
25#74878C211yesmaximal, characteristic, complemented
26#74875C211yesmaximal, characteristic, complemented
27#74805C211yesmaximal, characteristic, complemented
28#74772C211yesmaximal, characteristic, complemented
29#74692C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4676C211yesmaximal, characteristic, complemented
32#43022—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic, complemented
49C2×#937C2211yescharacteristic, complemented
50C2×#935C2211yescharacteristic, complemented
51C2×#935C2211yescharacteristic, complemented
52C2×D4×Dic3C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic, complemented
54C2×#930C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic, complemented
57C22×(C2×D3)⋊C4C2211yescharacteristic
58C22×(C2×D3)⋊C4C2211yescharacteristic
59C22×(C2×D3)⋊C4C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
61C22×Dic3⋊C4C2211yescharacteristic, complemented
62C22×Dic3⋊C4C2211yescharacteristic, complemented
63C22×Dic3⋊C4C2211yescharacteristic, complemented
64#5605—28no—
65#5601—28no—
66C2×#898C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#889C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic
72C2×#883C2211yescharacteristic
73C2×#883C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×#67⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#877C2211yescharacteristic, complemented
81C3×#398C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C2×C3×#95C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4987C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4955C2211yescharacteristic, complemented
142#4955C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4946C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4944C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4942C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4939C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4676C2211yescharacteristic, complemented
161#4676C2211yescharacteristic, complemented
162#4676C2211yescharacteristic, complemented
163#4676C2211yescharacteristic, complemented
164#4676C2211yescharacteristic, complemented
165#4676C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4658C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#534—31no—
192#2707—31no—
193#2705—31no—
194#2697—31no—
195#2695—31no—
196#2693—31no—
197#2685—31no—
198#2678—31no—
199#2678—31no—
200#2591—31no—
201#2558—31no—
202#2554—31no—
203#2543D311yescharacteristic, complemented
204#2534—31no—
205#2470—31no—
206#2457—31no—
207#2444—31no—
208#2443—31no—
209#2424—31no—
210#2424—31no—
211#2416—31no—
212#2416—31no—
213#2411—31no—
214#2410—31no—
215#2410—31no—
216C2×#396—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219D4×C22⋊C4—31no—
220#2321—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—24no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×#121—24no—
263C3×#121—24no—
264C3×#121—42no—
265C3×C4×D4—42no—
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#939—24no—
298#939—24no—
299#939—24no—
300#939—42no—
301#939—42no—
302#939D418yescomplemented
303#937—24no—
304#937—24no—
305#937—24no—
306#937—42no—
307#937—42no—
308#935—24no—
309#935—42no—
310D4×Dic3—24no—
311D4×Dic3—24no—
312#930—24no—
313C4×#67—24no—
314C4×#67—42no—
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4—42no—
317C2×(C2×D3)⋊C4—42no—
318C2×(C2×D3)⋊C4—42no—
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4—24no—
357C2×Dic3⋊C4—42no—
358C2×Dic3⋊C4—42no—
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385#898—24no—
386#894—24no—
387#894—24no—
388#889—24no—
389#884—42no—
390#883—24no—
391#883—24no—
392#883—24no—
393#882—24no—
394#882—24no—
395#67⋊C4—24no—
396#67⋊C4—42no—
397D3×C22⋊C4—42no—
398#879—24no—
399#877—24no—
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428#553—68no—
429#534—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#125—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121C2×D311yescharacteristic
449C2×#121C2×D311yescharacteristic, complemented
450C2×#121C2×D311yescharacteristic, complemented
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4C2×D311yescharacteristic, complemented
465C2×#117—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C4⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#400—31no—
476#400—31no—
477#399—31no—
478#398—31no—
479#398C2×D311yescharacteristic, complemented
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—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#394C2×D311yescharacteristic, complemented
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392C2×D311yescharacteristic, complemented
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#389—31no—
524#389—31no—
525#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388C2×D311yescharacteristic, complemented
539#388C2×D311yescharacteristic, complemented
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—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#386C2×D311yescharacteristic, complemented
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C4⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C2×#95C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3#4114yes—
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4C2×D414yes—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67C2×D414yes—
682C2×#67C2×D414yes—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3C2×D414yes—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710D3×D4—416no—
711D3×D4—416no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—41no—
736C3×C4⋊C4—41no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C42—41no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217C2×D414yes—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4C2×D414yes—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4C2×D414yes—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C25—31no—
828C25—31no—
829C25—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—64no—
844C22×D4—64no—
845C22×D4—64no—
846C22×D4—64no—
847C22×D4—122no—
848C22×D4—122no—
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868#126—64no—
869#126—64no—
870#125—64no—
871#123—64no—
872#123—64no—
873#123—64no—
874#123—64no—
875#123—64no—
876#123—64no—
877#123—122no—
878#121—24no—
879#121—24no—
880#121—38no—
881#121—42no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—122no—
887#121—122no—
888#121—122no—
889#120—64no—
890#120—64no—
891#120—64no—
892#120—64no—
893#120—64no—
894#120—122no—
895#120—122no—
896C4×D4—42no—
897C4×D4—64no—
898C4×D4—64no—
899C4×D4—64no—
900C4×D4—64no—
901C4×D4—122no—
902C4×D4—122no—
903#117—64no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—64no—
928C2×C4⋊C4—122no—
929C2×C4⋊C4—122no—
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—64no—
983C2×C22⋊C4—122no—
984C2×C22⋊C4—122no—
985C2×C22⋊C4—122no—
986C2×C22⋊C4—122no—
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42C22×D311yescharacteristic
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3C22×D412yes—
1057C23×C3C22×D412yes—
1058C23×C3C2×#4112yes—
1059C23×C3H(5,𝔽2)12yes—
1060C23×C3C2511yescharacteristic
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—28no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3C22×D412yes—
1108C22×D3C2×#4112yes—
1109C22×D3C2×#4112yes—
1110C3×D4—28no—
1111C3×D4—44no—
1112C3×D4—44no—
1113C3×D4—82no—
1114C3×D4—82no—
1115C3×D4—82no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—82no—
1149C2×C3×C4—82no—
1150C2×C3×C4—82no—
1151C2×C3×C4—82no—
1152C2×C3×C4C22×D412yes—
1153#67—28no—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—82no—
1160#67—82no—
1161#67—82no—
1162#67—82no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—44no—
1195C2×Dic3—44no—
1196C2×Dic3—44no—
1197C2×Dic3—44no—
1198C2×Dic3—82no—
1199C2×Dic3C22×D412yes—
1200C2×Dic3C22×D412yes—
1201C2×Dic3C22×D412yes—
1202C2×Dic3H(5,𝔽2)12yes—
1203C2×Dic3H(5,𝔽2)12yes—
1204D12—44no—
1205D12—44no—
1206D12—82no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210C4×D3—82no—
1211C24—31no—
1212C24—31no—
1213C24—31no—
1214C24—34no—
1215C24—31no—
1216C24—62no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—121no—
1223C24—121no—
1224C24—121no—
1225C24—121no—
1226C24—121no—
1227C24—121no—
1228C24—121no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24C23×D311yescharacteristic
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—34no—
1251C2×D4—34no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—1216no—
1297C2×D4—1216no—
1298C2×D4D3×D414yes—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—34no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—34no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—34no—
1394C22⋊C4—34no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C42—41no—
1449C42—62no—
1450C42—62no—
1451C42—62no—
1452C42—121no—
1453C42—121no—
1454C42—121no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3#54614yes—
1483C22×C3C23×D411yescharacteristic
1484C22×C3C22×#4111yescharacteristic
1485C22×C3C2×H(5,𝔽2)11yescharacteristic
1486C22×C3C2×H(5,𝔽2)11yescharacteristic
1487C22×C3C2×H(5,𝔽2)11yescharacteristic
1488C22×C3#58511yescharacteristic
1489C22×C3#58511yescharacteristic
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—88no—
1519C2×D3—88no—
1520C2×D3—88no—
1521C3×C4—22no—
1522C3×C4—41no—
1523C3×C4—41no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532Dic3—22no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—22no—
1536Dic3—22no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—32no—
1569C23—32no—
1570C23—32no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—68no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—124no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—242no—
1604C23—242no—
1605C23—242no—
1606C23—242no—
1607C23—242no—
1608C23—242no—
1609C23—242no—
1610C23—242no—
1611C23—242no—
1612C23—242no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23C2×D3×D412yes—
1618C23C2×D3×D412yes—
1619C23#100412yes—
1620C23D3×#4112yes—
1621C23C24×D311yescharacteristic
1622D4—28no—
1623D4—44no—
1624D4—44no—
1625D4—68no—
1626D4—82no—
1627D4—82no—
1628D4—82no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—32no—
1674C2×C4—32no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—82no—
1712C2×C4—82no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—242no—
1720C2×C4—242no—
1721C2×C4—242no—
1722C2×C4C2×D3×D412yes—
1723C2×C3—24no—
1724C2×C3—42no—
1725C2×C3—81no—
1726C2×C3—81no—
1727C2×C3C2×#54611yescharacteristic
1728C2×C3#348811yescharacteristic
1729C2×C3#349611yescharacteristic
1730C2×C3#350511yescharacteristic
1731C2×C3#350511yescharacteristic
1732C2×C3#353711yescharacteristic
1733C2×C3#356011yescharacteristic
1734D3—42no—
1735D3—42no—
1736D3—42no—
1737D3—81no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—248no—
1794C22—248no—
1795C22—248no—
1796C22#561014yes—
1797C22C22×D3×D411yescharacteristic
1798C22C2×#100411yescharacteristic
1799C22C2×D3×#4111yescharacteristic
1800C22#596411yescharacteristic
1801C22#596411yescharacteristic
1802C22D3×H(5,𝔽2)11yescharacteristic
1803C22D3×H(5,𝔽2)11yescharacteristic
1804C4—22no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—62no—
1816C4—62no—
1817C4—62no—
1818C4—62no—
1819C4—62no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C3#4302211yescharacteristic, complemented, Sylow
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—122no—
1833C2—122no—
1834C2—122no—
1835C2—241no—
1836C2C2×#561011yescharacteristic
1837C2#8625511yescharacteristic
1838C2#8630111yescharacteristic
1839C2#8662911yescharacteristic
1840C2#8666511yescharacteristic
1841C2#8691211yescharacteristic
1842C2#8691211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2543C2
hypercenter#2543D3
hypocenterC3#43022
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#5605C2semidirect
2. C2×#5601C2semidirect
3. C3×#2543C2semidirect
4. #82702C2semidirect
5. #82702C2semidirect
6. #82655C2semidirect
7. #82642C2semidirect
8. D4×(C2×D3)⋊C4C2semidirect
9. #82340C2semidirect
10. #77854C2semidirect
11. #77850C2semidirect
12. #77696C2semidirect
13. #77472C2semidirect
14. #77114C2semidirect
15. #77024C2semidirect
16. #76771C2semidirect
17. #76771C2semidirect
18. #75919C2semidirect
19. #75885C2semidirect
20. #75852C2semidirect
21. #75596C2semidirect
22. #74901C2semidirect
23. #74893C2semidirect
24. #74889C2semidirect
25. #74878C2semidirect
26. #74875C2semidirect
27. #74805C2semidirect
28. #74772C2semidirect
29. #74692C2semidirect
30. #73377C2semidirect
31. C2×#4676C2semidirect
36. C2×C3×#121C22semidirect
37. C2×C3×#121C22semidirect
38. C2×C3×C4×D4C22semidirect
41. C2×#939C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
44. C2×#939C22semidirect
48. C2×#937C22semidirect
49. C2×#937C22semidirect
50. C2×#935C22semidirect
51. C2×#935C22semidirect
52. C2×D4×Dic3C22semidirect
53. C2×D4×Dic3C22semidirect
55. C2×C4×#67C22semidirect
56. C2×C4×#67C22semidirect
60. C22×(C2×D3)⋊C4C22semidirect
61. C22×Dic3⋊C4C22semidirect
62. C22×Dic3⋊C4C22semidirect
63. C22×Dic3⋊C4C22semidirect
66. C2×#898C22semidirect
69. C2×#889C22semidirect
70. C2×#884C22semidirect
73. C2×#883C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×#67⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#879C22semidirect
80. C2×#877C22semidirect
81. C3×#398C22semidirect
82. C3×#397C22semidirect
83. C3×#394C22semidirect
84. C3×#392C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C2×C3×#95C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5220C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5210C22semidirect
104. #5210C22semidirect
105. #4994C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
112. #4987C22semidirect
113. #4981C22semidirect
114. #4978C22semidirect
115. #4976C22semidirect
116. #4976C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
126. #4958C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
139. #4955C22semidirect
140. #4955C22semidirect
141. #4955C22semidirect
142. #4955C22semidirect
143. #4952C22semidirect
144. #4949C22semidirect
145. #4948C22semidirect
146. #4948C22semidirect
147. #4946C22semidirect
148. #4944C22semidirect
149. #4944C22semidirect
150. #4944C22semidirect
151. #4944C22semidirect
152. #4942C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. #4940C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×Dic3⋊C4C22semidirect
158. #4676C22semidirect
159. #4676C22semidirect
160. #4676C22semidirect
161. #4676C22semidirect
162. #4676C22semidirect
163. #4676C22semidirect
164. #4676C22semidirect
165. #4676C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
173. #4669C22semidirect
174. #4669C22semidirect
175. #4669C22semidirect
176. #4669C22semidirect
177. #4669C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. #4666C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4660C22semidirect
186. #4658C22semidirect
187. #4658C22semidirect
188. #4655C22semidirect
189. #4647C22semidirect
203. #2543D3semidirect
302. #939D4semidirect
449. C2×#121C2×D3semidirect
450. C2×#121C2×D3semidirect
464. C2×C4×D4C2×D3semidirect
479. #398C2×D3semidirect
483. #397C2×D3semidirect
508. #394C2×D3semidirect
513. #392C2×D3semidirect
538. #388C2×D3semidirect
539. #388C2×D3semidirect
558. #386C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
582. C2×#95C2×D3semidirect
1827. C3#43022semidirect

Maximal subgroups

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

subgroupindex
C2×#56052
C2×#56012
C3×#25432
#827022
#826552
#826422
D4×(C2×D3)⋊C42
#823402
#778542
#778502
#776962
#774722
#771142
#770242
#767712
#759192
#758852
#758522
#755962
#749012
#748932
#748892
#748782
#748752
#748052
#747722
#746922
#733772
C2×#46762
#430223