Finite Group Databasebeta

← #11166136

Subgroups — #11166136

Order 768.

2816 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5654C211yesmaximal, characteristic, complemented
2C2×#5599C211yesmaximal, characteristic, complemented
3C3×#2813C211yesmaximal, characteristic, complemented
4#82904C211yesmaximal, characteristic, complemented
5#82710C211yesmaximal, characteristic, complemented
6#78365C211yesmaximal, characteristic, complemented
7#78134C211yesmaximal, characteristic, complemented
8#78112C211yesmaximal, characteristic, complemented
9#78022C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77334C211yesmaximal, characteristic, complemented
12#77284C211yesmaximal, characteristic, complemented
13#77281C211yesmaximal, characteristic, complemented
14#77134C211yesmaximal, characteristic, complemented
15#77128C211yesmaximal, characteristic, complemented
16#77127C211yesmaximal, characteristic, complemented
17#77123C211yesmaximal, characteristic, complemented
18#77119C211yesmaximal, characteristic, complemented
19#76971C211yesmaximal, characteristic, complemented
20#76906C211yesmaximal, characteristic, complemented
21#76899C211yesmaximal, characteristic, complemented
22#76898C211yesmaximal, characteristic, complemented
23#76894C211yesmaximal, characteristic, complemented
24#76765C211yesmaximal, characteristic, complemented
25#76717C211yesmaximal, characteristic, complemented
26#76712C211yesmaximal, characteristic, complemented
27#76673C211yesmaximal, characteristic, complemented
28#76672C211yesmaximal, characteristic, complemented
29#76669C211yesmaximal, characteristic, complemented
30#74029C211yesmaximal, characteristic, complemented
31#74003C211yesmaximal, characteristic, complemented
32#42951—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×#940C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic, complemented
46C2×#938C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53#5654—28no—
54#5599—28no—
55C2×#896C2211yescharacteristic
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#895C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#892C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#887C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×#67⋊C4C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C3×#400C2211yescharacteristic, complemented
83C3×#399C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#394C2211yescharacteristic, complemented
89C3×#394C2211yescharacteristic, complemented
90C3×#394C2211yescharacteristic, complemented
91C3×#392C2211yescharacteristic
92C3×#392C2211yescharacteristic
93C3×#392C2211yescharacteristic, complemented
94C3×#380C2211yescharacteristic, complemented
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5212C2211yescharacteristic, complemented
105#4994C2211yescharacteristic
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4992C2211yescharacteristic
110#4992C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4991C2211yescharacteristic
113#4991C2211yescharacteristic
114#4991C2211yescharacteristic, complemented
115#4991C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123Dic3×C4⋊C4C2211yescharacteristic, complemented
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic, complemented
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic
157#4952C2211yescharacteristic, complemented
158#4952C2211yescharacteristic, complemented
159#4951C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4944C2211yescharacteristic, complemented
163#4943C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic, complemented
168#4672C2211yescharacteristic
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic, complemented
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic, complemented
173#4669C2211yescharacteristic
174#4667C2211yescharacteristic
175#4666C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#546—31no—
192#2813—31no—
193#2813D311yescharacteristic, complemented
194#2688—31no—
195#2688—31no—
196#2673—31no—
197#2673—31no—
198#2669—31no—
199#2669—31no—
200#2668—31no—
201#2668—31no—
202#2630—31no—
203#2630—31no—
204#2619—31no—
205#2617—31no—
206#2617—31no—
207#2534—31no—
208#2534—31no—
209#2448—31no—
210#2445—31no—
211#2433—31no—
212#2431—31no—
213#2421—31no—
214#2420—31no—
215#2416—31no—
216#2416—31no—
217#2408—31no—
218#2407—31no—
219#2392—31no—
220#2311—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×#237—24no—
250C2×#237—42no—
251C2×#237—42no—
252C2×D3×D4—24no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×#235—42no—
256C2×#235—42no—
257C2×#235D418yescomplemented
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#123—24no—
275C3×#121—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#940—24no—
310#940—24no—
311#940—24no—
312#940—42no—
313#939—24no—
314#939—24no—
315#939—24no—
316#939—42no—
317#938—42no—
318#937—42no—
319#937—42no—
320#937—42no—
321#937—42no—
322C4×#67—24no—
323C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#896—24no—
377#895—24no—
378#895—24no—
379#895—42no—
380#894—24no—
381#893—24no—
382#892—42no—
383D3×C4⋊C4—42no—
384#887—24no—
385#886—42no—
386#885—24no—
387#884—24no—
388#884—24no—
389#884—24no—
390#884—42no—
391#884—42no—
392#884—42no—
393#883—42no—
394#882—24no—
395#882—24no—
396#882—42no—
397#882—42no—
398#67⋊C4—24no—
399#67⋊C4—24no—
400#67⋊C4—24no—
401#67⋊C4—42no—
402D3×C22⋊C4—24no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431C23×D4—31no—
432#550—68no—
433#546—68no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#124—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121C2×D311yescharacteristic, complemented
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×C4×Q8—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×#117—31no—
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400C2×D311yescharacteristic, complemented
480#399—31no—
481#399C2×D311yescharacteristic, complemented
482#398—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396C2×D311yescharacteristic, complemented
495#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
513#394C2×D311yescharacteristic, complemented
514#394C2×D311yescharacteristic, complemented
515#394C2×D311yescharacteristic, complemented
516#394C2×D311yescharacteristic, complemented
517#392—31no—
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#392—31no—
531#392C2×D311yescharacteristic
532#392C2×D311yescharacteristic
533#392C2×D311yescharacteristic, complemented
534#391—31no—
535#391—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#389—31no—
543#389—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#387—31no—
551#387—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#385—31no—
571#385—31no—
572#382—31no—
573#381—31no—
574#381—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380C2×D311yescharacteristic, complemented
581#379—31no—
582#379—31no—
583C4×C4⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
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×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4C2×D414yes—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
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—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
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×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67C2×D414yes—
688C2×#67C2×D414yes—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709#237—416no—
710D3×D4—416no—
711#235—416no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12C2×D414yes—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3C2×D414yes—
756C2×C4×D3C2×D414yes—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6C2×D414yes—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4—41no—
766C3×C4⋊C4—41no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825C4⋊Dic3—22no—
826C4⋊Dic3—22no—
827C4⋊Dic3—41no—
828C4⋊Dic3—41no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C25—31no—
846C25—31no—
847C2×#41—38no—
848C2×#41—64no—
849C2×#41—122no—
850C2×#41—122no—
851C2×#41—122no—
852C2×#41—122no—
853C22×Q8—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—64no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4C22×D311yescharacteristic
898#127—64no—
899#127—64no—
900#127—64no—
901#127—122no—
902#124—64no—
903#123—24no—
904#123—64no—
905#123—122no—
906#123—122no—
907C22⋊Q8—64no—
908#121—24no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—64no—
924#120—64no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930#120—122no—
931C4×Q8—64no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—122no—
938#117—122no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—122no—
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—64no—
1005C2×C22⋊C4—64no—
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3C22×D412yes—
1081C23×C3C2511yescharacteristic
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—44no—
1115C22×D3—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3—82no—
1122C22×D3—82no—
1123C22×D3—82no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3C22×D412yes—
1129C22×D3C22×D412yes—
1130C22×D3H(5,𝔽2)12yes—
1131C3×D4—44no—
1132C3×D4—44no—
1133C3×D4—82no—
1134C3×D4—82no—
1135C3×D4—82no—
1136C3×D4—82no—
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—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—44no—
1169C2×C3×C4C22×D412yes—
1170C2×C3×C4C22×D412yes—
1171#67—28no—
1172#67—44no—
1173#67—44no—
1174#67—44no—
1175#67—44no—
1176#67—44no—
1177#67—44no—
1178#67—44no—
1179#67—44no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—44no—
1216C2×Dic3—44no—
1217C2×Dic3—82no—
1218C2×Dic3C22×D412yes—
1219C2×Dic3C22×D412yes—
1220C2×Dic3H(5,𝔽2)12yes—
1221C2×Dic3H(5,𝔽2)12yes—
1222C2×Dic3H(5,𝔽2)12yes—
1223D12—44no—
1224D12—44no—
1225D12—44no—
1226D12—82no—
1227D12—82no—
1228D12—82no—
1229D12—82no—
1230D12—82no—
1231C4×D3—28no—
1232C4×D3—44no—
1233C4×D3—44no—
1234C4×D3—44no—
1235C4×D3—82no—
1236C4×D3—82no—
1237C4×D3—82no—
1238Dic6—28no—
1239C24—31no—
1240C24—31no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—62no—
1245C24—62no—
1246C24—62no—
1247C24—62no—
1248C24—121no—
1249C24—121no—
1250C24—121no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24—121no—
1257C24—121no—
1258C24C23×D311yescharacteristic
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261C24C23×D311yescharacteristic
1262#41—1216no—
1263#41—1216no—
1264C2×Q8—34no—
1265C2×Q8—62no—
1266C2×Q8—62no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—34no—
1272C2×D4—34no—
1273C2×D4—34no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—1216no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—34no—
1362C22×C4—34no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—62no—
1374C22×C4—62no—
1375C22×C4—62no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4D3×D414yes—
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—62no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊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—
1492C42—62no—
1493C42—62no—
1494C42—62no—
1495C42—62no—
1496C42—62no—
1497C42—62no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3C23×D411yescharacteristic
1527C22×C3C2×H(5,𝔽2)11yescharacteristic
1528C22×C3C2×H(5,𝔽2)11yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3C2×H(5,𝔽2)11yescharacteristic
1531C22×C3#58511yescharacteristic
1532C22×C3#58511yescharacteristic
1533C2×D3—22no—
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—88no—
1569C2×D3—88no—
1570C3×C4—22no—
1571C3×C4—22no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581Dic3—22no—
1582Dic3—22no—
1583Dic3—41no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590Dic3—41no—
1591Dic3#53414yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—32no—
1620C23—32no—
1621C23—32no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—124no—
1655C23—124no—
1656C23—124no—
1657C23—124no—
1658C23—242no—
1659C23—242no—
1660C23—242no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23—242no—
1665C23—242no—
1666C23—242no—
1667C23—242no—
1668C23C2×D3×D412yes—
1669C23C24×D311yescharacteristic
1670Q8—68no—
1671D4—44no—
1672D4—44no—
1673D4—68no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677D4—82no—
1678D4—124no—
1679D4—124no—
1680D4—124no—
1681D4—124no—
1682D4—124no—
1683D4—124no—
1684D4—124no—
1685D4—124no—
1686D4—124no—
1687D4—124no—
1688D4—124no—
1689D4—242no—
1690D4—242no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—32no—
1733C2×C4—32no—
1734C2×C4—32no—
1735C2×C4—32no—
1736C2×C4—32no—
1737C2×C4—44no—
1738C2×C4—68no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—124no—
1770C2×C4—124no—
1771C2×C4—124no—
1772C2×C4—242no—
1773C2×C4—242no—
1774C2×C4—242no—
1775C2×C4—242no—
1776C2×C4C2×D3×D412yes—
1777C2×C4C2×D3×D412yes—
1778C2×C3—42no—
1779C2×C3—81no—
1780C2×C3—81no—
1781C2×C3—81no—
1782C2×C3C2×#53411yescharacteristic
1783C2×C3#348811yescharacteristic
1784C2×C3#348811yescharacteristic
1785C2×C3#354211yescharacteristic
1786C2×C3#354311yescharacteristic
1787C2×C3#354611yescharacteristic
1788C2×C3#356211yescharacteristic
1789D3—42no—
1790D3—42no—
1791D3—42no—
1792D3—81no—
1793D3—81no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—62no—
1823C22—62no—
1824C22—62no—
1825C22—62no—
1826C22—62no—
1827C22—62no—
1828C22—62no—
1829C22—62no—
1830C22—62no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—248no—
1858C22—248no—
1859C22C22×D3×D411yescharacteristic
1860C22D3×H(5,𝔽2)11yescharacteristic
1861C22D3×H(5,𝔽2)11yescharacteristic
1862C22D3×H(5,𝔽2)11yescharacteristic
1863C22D3×H(5,𝔽2)11yescharacteristic
1864C22#596611yescharacteristic
1865C22#596811yescharacteristic
1866C4—22no—
1867C4—22no—
1868C4—34no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—62no—
1879C4—62no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C4—121no—
1887C4—121no—
1888C3#4295111yescharacteristic, complemented, Sylow
1889C2—42no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—122no—
1894C2—122no—
1895C2—122no—
1896C2—241no—
1897C2—241no—
1898C2D3×#53411yescharacteristic
1899C2#8633111yescharacteristic
1900C2#8637911yescharacteristic
1901C2#8707511yescharacteristic
1902C2#8708311yescharacteristic
1903C2#8709711yescharacteristic
1904C2#8710211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2813C2
hypercenter#2813D3
hypocenterC3#42951
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2813

Complements

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

NH ≅ G/Ntype
1. C2×#5654C2semidirect
2. C2×#5599C2semidirect
3. C3×#2813C2semidirect
4. #82904C2semidirect
5. #82710C2semidirect
6. #78365C2semidirect
7. #78134C2semidirect
8. #78112C2semidirect
9. #78022C2semidirect
10. #77448C2semidirect
11. #77334C2semidirect
12. #77284C2semidirect
13. #77281C2semidirect
14. #77134C2semidirect
15. #77128C2semidirect
16. #77127C2semidirect
17. #77123C2semidirect
18. #77119C2semidirect
19. #76971C2semidirect
20. #76906C2semidirect
21. #76899C2semidirect
22. #76898C2semidirect
23. #76894C2semidirect
24. #76765C2semidirect
25. #76717C2semidirect
26. #76712C2semidirect
27. #76673C2semidirect
28. #76672C2semidirect
29. #76669C2semidirect
30. #74029C2semidirect
31. #74003C2semidirect
33. C22×#237C22semidirect
37. C2×C3×#121C22semidirect
40. C2×#940C22semidirect
41. C2×#940C22semidirect
45. C2×#939C22semidirect
46. C2×#938C22semidirect
51. C2×C4×#67C22semidirect
58. C2×#895C22semidirect
61. C2×#892C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#887C22semidirect
64. C2×#886C22semidirect
69. C2×#884C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
72. C2×#883C22semidirect
79. C2×#67⋊C4C22semidirect
80. C2×#67⋊C4C22semidirect
82. C3×#400C22semidirect
83. C3×#399C22semidirect
84. C3×#396C22semidirect
85. C3×#396C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#394C22semidirect
89. C3×#394C22semidirect
90. C3×#394C22semidirect
93. C3×#392C22semidirect
94. C3×#380C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5212C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4993C22semidirect
110. #4992C22semidirect
111. #4992C22semidirect
114. #4991C22semidirect
115. #4991C22semidirect
116. #4990C22semidirect
117. #4989C22semidirect
118. #4987C22semidirect
119. #4987C22semidirect
120. #4982C22semidirect
121. #4978C22semidirect
122. #4976C22semidirect
123. Dic3×C4⋊C4C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
142. #4958C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
157. #4952C22semidirect
158. #4952C22semidirect
159. #4951C22semidirect
160. #4948C22semidirect
161. #4946C22semidirect
162. #4944C22semidirect
163. #4943C22semidirect
164. #4942C22semidirect
165. Dic3×C22⋊C4C22semidirect
167. #4675C22semidirect
170. #4671C22semidirect
172. #4670C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4658C22semidirect
185. #4654C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
193. #2813D3semidirect
257. C2×#235D4semidirect
458. C2×#121C2×D3semidirect
479. #400C2×D3semidirect
481. #399C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
512. #394C2×D3semidirect
513. #394C2×D3semidirect
514. #394C2×D3semidirect
515. #394C2×D3semidirect
516. #394C2×D3semidirect
533. #392C2×D3semidirect
580. #380C2×D3semidirect
1888. C3#42951semidirect

Maximal subgroups

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

subgroupindex
C2×#56542
C2×#55992
C3×#28132
#829042
#827102
#783652
#781342
#781122
#780222
#774482
#773342
#772842
#772812
#771342
#771282
#771272
#771232
#771192
#769712
#769062
#768992
#768982
#768942
#767652
#767172
#767122
#766732
#766722
#766692
#740292
#740032
#429513