Finite Group Databasebeta

← #11013460

Subgroups — #11013460

Order 768.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5613C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2414C211yesmaximal, characteristic, complemented
4#82714C211yesmaximal, characteristic, complemented
5#82708C211yesmaximal, characteristic, complemented
6#82686C211yesmaximal, characteristic, complemented
7#82389C211yesmaximal, characteristic, complemented
8#82275C211yesmaximal, characteristic, complemented
9#82225C211yesmaximal, characteristic, complemented
10#77138C211yesmaximal, characteristic, complemented
11#77137C211yesmaximal, characteristic, complemented
12#77002C211yesmaximal, characteristic, complemented
13#77000C211yesmaximal, characteristic, complemented
14#76771C211yesmaximal, characteristic, complemented
15#76766C211yesmaximal, characteristic, complemented
16#76764C211yesmaximal, characteristic, complemented
17#76716C211yesmaximal, characteristic, complemented
18#76461C211yesmaximal, characteristic, complemented
19#76454C211yesmaximal, characteristic, complemented
20#76424C211yesmaximal, characteristic, complemented
21#76389C211yesmaximal, characteristic, complemented
22#76377C211yesmaximal, characteristic, complemented
23#76311C211yesmaximal, characteristic, complemented
24#76258C211yesmaximal, characteristic, complemented
25#76130C211yesmaximal, characteristic, complemented
26#75842C211yesmaximal, characteristic, complemented
27#75820C211yesmaximal, characteristic, complemented
28#75663C211yesmaximal, characteristic, complemented
29#75645C211yesmaximal, characteristic, complemented
30#74036C211yesmaximal, characteristic, complemented
31#73968C211yesmaximal, characteristic, complemented
32#37132—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic, complemented
35C2×C3×C4×D4C2211yescharacteristic, complemented
36C2×C3×#117C2211yescharacteristic, complemented
37C2×#940C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic, complemented
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#936C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#935C2211yescharacteristic, complemented
51C2×#935C2211yescharacteristic, complemented
52C2×#930C2211yescharacteristic
53C2×#929C2211yescharacteristic
54C2×#929C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
57#5613—28no—
58#5560—28no—
59C2×#898C2211yescharacteristic, complemented
60C2×#898C2211yescharacteristic, complemented
61C2×#896C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#888C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#879C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#876C2211yescharacteristic, complemented
80C2×#875C2211yescharacteristic
81C2×#872C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#390C2211yescharacteristic, complemented
89C3×#389C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#380C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104C4×#217C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4993C2211yescharacteristic, complemented
110#4993C2211yescharacteristic, complemented
111#4991C2211yescharacteristic
112#4991C2211yescharacteristic
113#4991C2211yescharacteristic
114#4990C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4988C2211yescharacteristic
118#4979C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165#4940C2211yescharacteristic, complemented
166#4940C2211yescharacteristic, complemented
167#4940C2211yescharacteristic, complemented
168#4939C2211yescharacteristic
169#4939C2211yescharacteristic
170C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
171#4933C2211yescharacteristic, complemented
172C4×Dic3⋊C4C2211yescharacteristic, complemented
173C42×Dic3C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4672C2211yescharacteristic
179#4672C2211yescharacteristic
180#4672C2211yescharacteristic
181#4670C2211yescharacteristic, complemented
182#4669C2211yescharacteristic, complemented
183#4669C2211yescharacteristic, complemented
184#4668C2211yescharacteristic, complemented
185#4665C2211yescharacteristic
186#4656C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2860—31no—
193#2858—31no—
194#2727—31no—
195#2705—31no—
196#2705—31no—
197#2682—31no—
198#2682—31no—
199#2679—31no—
200#2678—31no—
201#2678—31no—
202#2674—31no—
203#2674—31no—
204#2672—31no—
205#2672—31no—
206#2670—31no—
207#2670—31no—
208#2669—31no—
209#2669—31no—
210#2662—31no—
211#2662—31no—
212#2602—31no—
213#2602—31no—
214#2539—31no—
215#2539—31no—
216#2414—31no—
217#2414D311yescharacteristic, complemented
218#2411—31no—
219#2411—31no—
220#2293—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
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—24no—
254C3×#121—42no—
255C3×C4×D4—24no—
256C3×#117—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊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×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
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
296#940—42no—
297#939—24no—
298#939—24no—
299#939—42no—
300#938—24no—
301#937—24no—
302#937—24no—
303#937—24no—
304#937—42no—
305#937—42no—
306#937—42no—
307#936—24no—
308#935—24no—
309#935—42no—
310#935—42no—
311#930—24no—
312#929—24no—
313#929—24no—
314C4×#67D418yescomplemented
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380#898—24no—
381#898—24no—
382#896—24no—
383#894—24no—
384#894—42no—
385#888—42no—
386#885—24no—
387#885—24no—
388#885—42no—
389#885—42no—
390#884—24no—
391#883—42no—
392#882—24no—
393#882—42no—
394#882—42no—
395#882—42no—
396#67⋊C4—24no—
397D3×C22⋊C4—24no—
398#879—24no—
399#878—24no—
400#876—24no—
401#875—24no—
402#872—42no—
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
423#538—68no—
424#538—68no—
425C2×C4⋊Q8—31no—
426C2×#127—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#126—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121C2×D311yescharacteristic
454C2×#121C2×D311yescharacteristic, complemented
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4C2×D311yescharacteristic, complemented
468C2×#117—31no—
469C2×#117C2×D311yescharacteristic, complemented
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#395—31no—
488#394—31no—
489#394—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#394C2×D311yescharacteristic
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392C2×D311yescharacteristic
519#392C2×D311yescharacteristic, complemented
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390C2×D311yescharacteristic, complemented
537#390C2×D311yescharacteristic, complemented
538#390C2×D311yescharacteristic, complemented
539#389—31no—
540#389—31no—
541#389—31no—
542#389—31no—
543#389—31no—
544#389—31no—
545#389C2×D311yescharacteristic, complemented
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388C2×D311yescharacteristic, complemented
561#388C2×D311yescharacteristic, complemented
562#387—31no—
563#387—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#380C2×D311yescharacteristic, complemented
574#379—31no—
575#379—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C43—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
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—
620C22×C3×C4—22no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4C2×D414yes—
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
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×#67C2×D414yes—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×C4×D3—22no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3C2×D414yes—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—41no—
712C2×Dic6—41no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C42—22no—
736C3×C42—22no—
737C3×C42—41no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217C2×D414yes—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
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—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
788C4⋊Dic3—22no—
789C4⋊Dic3—22no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4C2×D414yes—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3—41no—
814C4×Dic3—41no—
815C4×Dic3—41no—
816C4×Dic3—41no—
817C4×Dic3C2×D414yes—
818C25—31no—
819C25—31no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—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×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C22×D4C22×D311yescharacteristic
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850C4⋊Q8—122no—
851#127—122no—
852#126—64no—
853#126—64no—
854#126—64no—
855#126—64no—
856#124—64no—
857#124—64no—
858#124—64no—
859#124—64no—
860#124—122no—
861#124—122no—
862#123—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—122no—
867#123—122no—
868#123—122no—
869#123—122no—
870C22⋊Q8—64no—
871C22⋊Q8—64no—
872#121—24no—
873#121—42no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—64no—
879#121—122no—
880#120—64no—
881#120—64no—
882#120—64no—
883#120—64no—
884#120—122no—
885#120—122no—
886#120—122no—
887#120—122no—
888#120—122no—
889#120—122no—
890C4×D4—24no—
891C4×D4—38no—
892C4×D4—64no—
893#117—42no—
894#117—122no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
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—64no—
974C2×C22⋊C4—64no—
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42C22×D311yescharacteristic
998C2×C42C22×D311yescharacteristic
999C2×C42C22×D311yescharacteristic
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
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#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
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×C3C22×D412yes—
1048C23×C3C2511yescharacteristic
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
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—44no—
1077C22×D3—44no—
1078C22×D3—82no—
1079C22×D3—82no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3C22×D412yes—
1091C3×D4—44no—
1092C3×D4—82no—
1093C3×D4—82no—
1094C3×D4—82no—
1095C3×D4—82no—
1096C3×D4—82no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
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—44no—
1128C2×C3×C4—82no—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131C2×C3×C4H(5,𝔽2)12yes—
1132#67—44no—
1133#67—44no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137#67—82no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141#67—82no—
1142#67—82no—
1143#67—82no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
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—82no—
1176C2×Dic3—82no—
1177C2×Dic3C22×D412yes—
1178C2×Dic3C22×D412yes—
1179C2×Dic3C22×D412yes—
1180C2×Dic3H(5,𝔽2)12yes—
1181C2×Dic3H(5,𝔽2)12yes—
1182D12—82no—
1183D12—82no—
1184D12—82no—
1185D12—82no—
1186C4×D3—44no—
1187C4×D3—82no—
1188Dic6—82no—
1189Dic6—82no—
1190C24—31no—
1191C24—31no—
1192C24—31no—
1193C24—31no—
1194C24—62no—
1195C24—62no—
1196C24—121no—
1197C24—121no—
1198C24—121no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24C23×D311yescharacteristic
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211C24C23×D311yescharacteristic
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×Q8—121no—
1216C2×Q8—121no—
1217C2×Q8—121no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—34no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C22×C4—22no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—34no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4D3×D414yes—
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—34no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C4⋊C4—121no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—34no—
1360C22⋊C4—34no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C42—22no—
1418C42—22no—
1419C42—34no—
1420C42—41no—
1421C42—62no—
1422C42—62no—
1423C42—62no—
1424C42—121no—
1425C42—121no—
1426C42—121no—
1427C42—121no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—22no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3C23×D411yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×H(5,𝔽2)11yescharacteristic
1459C22×C3C2×H(5,𝔽2)11yescharacteristic
1460C22×C3#58511yescharacteristic
1461C22×C3#58511yescharacteristic
1462C22×C3#58511yescharacteristic
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—88no—
1492C2×D3—88no—
1493C3×C4—22no—
1494C3×C4—22no—
1495C3×C4—22no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504Dic3—22no—
1505Dic3—22no—
1506Dic3—22no—
1507Dic3—22no—
1508Dic3—22no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—32no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—124no—
1572C23—124no—
1573C23—242no—
1574C23—242no—
1575C23—242no—
1576C23—242no—
1577C23—242no—
1578C23—242no—
1579C23—242no—
1580C23—242no—
1581C23—242no—
1582C23—242no—
1583C23—242no—
1584C23—242no—
1585C23C2×D3×D412yes—
1586C23C24×D311yescharacteristic
1587Q8—242no—
1588Q8—242no—
1589D4—44no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—124no—
1596D4—124no—
1597D4—242no—
1598D4—242no—
1599D4—242no—
1600D4—242no—
1601D4—242no—
1602D4—242no—
1603D4—242no—
1604D4—242no—
1605D4—242no—
1606D4—242no—
1607D4—242no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—32no—
1642C2×C4—32no—
1643C2×C4—32no—
1644C2×C4—32no—
1645C2×C4—32no—
1646C2×C4—44no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—82no—
1679C2×C4—124no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4C2×D3×D412yes—
1684C2×C4C2×D3×D412yes—
1685C2×C4#100412yes—
1686C2×C3—42no—
1687C2×C3—81no—
1688C2×C3—81no—
1689C2×C3—81no—
1690C2×C3#344911yescharacteristic
1691C2×C3#349611yescharacteristic
1692C2×C3#349811yescharacteristic
1693C2×C3#354511yescharacteristic
1694C2×C3#354611yescharacteristic
1695C2×C3#355811yescharacteristic
1696C2×C3#356011yescharacteristic
1697D3—42no—
1698D3—81no—
1699D3—81no—
1700D3—81no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—248no—
1758C22—248no—
1759C22C22×D3×D411yescharacteristic
1760C22C2×#100411yescharacteristic
1761C22#596411yescharacteristic
1762C22#596411yescharacteristic
1763C22#596411yescharacteristic
1764C22D3×H(5,𝔽2)11yescharacteristic
1765C22D3×H(5,𝔽2)11yescharacteristic
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—62no—
1778C4—62no—
1779C4—62no—
1780C4—62no—
1781C4—62no—
1782C4—121no—
1783C4—121no—
1784C4—121no—
1785C4—121no—
1786C4—121no—
1787C4—121no—
1788C4—121no—
1789C3#3713211yescharacteristic, complemented, Sylow
1790C2—42no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—122no—
1795C2—241no—
1796C2—241no—
1797C2—241no—
1798C2#8595011yescharacteristic
1799C2#8603511yescharacteristic
1800C2#8631611yescharacteristic
1801C2#8665511yescharacteristic
1802C2#8677911yescharacteristic
1803C2#8692011yescharacteristic
1804C2#8697611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2414C2
hypercenter#2414D3
hypocenterC3#37132
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2414

Complements

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

NH ≅ G/Ntype
1. C2×#5613C2semidirect
2. C2×#5560C2semidirect
3. C3×#2414C2semidirect
4. #82714C2semidirect
5. #82708C2semidirect
6. #82686C2semidirect
7. #82389C2semidirect
8. #82275C2semidirect
9. #82225C2semidirect
10. #77138C2semidirect
11. #77137C2semidirect
12. #77002C2semidirect
13. #77000C2semidirect
14. #76771C2semidirect
15. #76766C2semidirect
16. #76764C2semidirect
17. #76716C2semidirect
18. #76461C2semidirect
19. #76454C2semidirect
20. #76424C2semidirect
21. #76389C2semidirect
22. #76377C2semidirect
23. #76311C2semidirect
24. #76258C2semidirect
25. #76130C2semidirect
26. #75842C2semidirect
27. #75820C2semidirect
28. #75663C2semidirect
29. #75645C2semidirect
30. #74036C2semidirect
31. #73968C2semidirect
34. C2×C3×#121C22semidirect
35. C2×C3×C4×D4C22semidirect
36. C2×C3×#117C22semidirect
40. C2×#939C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
50. C2×#935C22semidirect
51. C2×#935C22semidirect
54. C2×#929C22semidirect
56. C22×(C2×D3)⋊C4C22semidirect
59. C2×#898C22semidirect
60. C2×#898C22semidirect
61. C2×#896C22semidirect
64. C2×#888C22semidirect
65. C2×#885C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
68. C2×#885C22semidirect
70. C2×#883C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#879C22semidirect
78. C2×#878C22semidirect
79. C2×#876C22semidirect
81. C2×#872C22semidirect
83. C3×#394C22semidirect
85. C3×#392C22semidirect
86. C3×#390C22semidirect
87. C3×#390C22semidirect
88. C3×#390C22semidirect
89. C3×#389C22semidirect
90. C3×#388C22semidirect
91. C3×#388C22semidirect
92. C3×#380C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5221C22semidirect
102. #5213C22semidirect
103. #5210C22semidirect
104. C4×#217C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4993C22semidirect
109. #4993C22semidirect
110. #4993C22semidirect
114. #4990C22semidirect
115. #4990C22semidirect
116. #4990C22semidirect
118. #4979C22semidirect
119. #4976C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4976C22semidirect
123. #4961C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
136. #4958C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4952C22semidirect
152. #4951C22semidirect
153. #4950C22semidirect
154. #4949C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4946C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4942C22semidirect
165. #4940C22semidirect
166. #4940C22semidirect
167. #4940C22semidirect
170. C4×(C2×D3)⋊C4C22semidirect
171. #4933C22semidirect
172. C4×Dic3⋊C4C22semidirect
173. C42×Dic3C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4675C22semidirect
177. #4673C22semidirect
181. #4670C22semidirect
182. #4669C22semidirect
183. #4669C22semidirect
184. #4668C22semidirect
186. #4656C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
217. #2414D3semidirect
314. C4×#67D4semidirect
454. C2×#121C2×D3semidirect
467. C2×C4×D4C2×D3semidirect
469. C2×#117C2×D3semidirect
505. #394C2×D3semidirect
519. #392C2×D3semidirect
536. #390C2×D3semidirect
537. #390C2×D3semidirect
538. #390C2×D3semidirect
545. #389C2×D3semidirect
560. #388C2×D3semidirect
561. #388C2×D3semidirect
573. #380C2×D3semidirect
1789. C3#37132semidirect

Maximal subgroups

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

subgroupindex
C2×#56132
C2×#55602
C3×#24142
#827142
#827082
#826862
#823892
#822752
#822252
#771382
#771372
#770022
#770002
#767712
#767662
#767642
#767162
#764612
#764542
#764242
#763892
#763772
#763112
#762582
#761302
#758422
#758202
#756632
#756452
#740362
#739682
#371323