Finite Group Databasebeta

← #11098203

Subgroups — #11098203

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5704C211yesmaximal, characteristic, complemented
3C3×#2727C211yesmaximal, characteristic, complemented
4#83116C211yesmaximal, characteristic, complemented
5#83094C211yesmaximal, characteristic, complemented
6#78125C211yesmaximal, characteristic, complemented
7#78113C211yesmaximal, characteristic, complemented
8#78110C211yesmaximal, characteristic, complemented
9#78102C211yesmaximal, characteristic, complemented
10#77450C211yesmaximal, characteristic, complemented
11#77421C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic, complemented
13#77331C211yesmaximal, characteristic, complemented
14#77124C211yesmaximal, characteristic, complemented
15#77108C211yesmaximal, characteristic, complemented
16D3×#394C211yesmaximal, characteristic, complemented
17#77003C211yesmaximal, characteristic, complemented
18#76436C211yesmaximal, characteristic, complemented
19#76377C211yesmaximal, characteristic, complemented
20#76259C211yesmaximal, characteristic, complemented
21#76257C211yesmaximal, characteristic, complemented
22#76222C211yesmaximal, characteristic, complemented
23#76217C211yesmaximal, characteristic, complemented
24#76212C211yesmaximal, characteristic, complemented
25#76211C211yesmaximal, characteristic, complemented
26#76202C211yesmaximal, characteristic, complemented
27#76095C211yesmaximal, characteristic, complemented
28#75901C211yesmaximal, characteristic, complemented
29#75881C211yesmaximal, characteristic, complemented
30#75842C211yesmaximal, characteristic, complemented
31#75692C211yesmaximal, characteristic, complemented
32#40514—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic, complemented
36C2×#938C2211yescharacteristic
37#5705—28no—
38#5704—28no—
39C2×#898C2211yescharacteristic, complemented
40C2×#897C2211yescharacteristic
41C2×#897C2211yescharacteristic, complemented
42C2×#896C2211yescharacteristic
43C2×#896C2211yescharacteristic, complemented
44C2×#896C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic, complemented
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#892C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#879C2211yescharacteristic, complemented
75C2×#875C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic, complemented
79C2×#872C2211yescharacteristic
80C3×#399C2211yescharacteristic, complemented
81C3×#399C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#389C2211yescharacteristic, complemented
88C3×#389C2211yescharacteristic, complemented
89C3×#389C2211yescharacteristic, complemented
90C3×#389C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5222C2211yescharacteristic
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic
118#4987C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4985C2211yescharacteristic, complemented
121#4984C2211yescharacteristic, complemented
122#4983C2211yescharacteristic, complemented
123#4982C2211yescharacteristic, complemented
124#4981C2211yescharacteristic, complemented
125#4979C2211yescharacteristic, complemented
126#4975C2211yescharacteristic, complemented
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic, complemented
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic, complemented
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4939C2211yescharacteristic
162#4939C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4672C2211yescharacteristic
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic
185D3×#95C2211yescharacteristic
186#4661C2211yescharacteristic, complemented
187#4661C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2727D311yescharacteristic, complemented
195#2712—31no—
196#2705—31no—
197#2702—31no—
198#2681—31no—
199#2676—31no—
200#2672—31no—
201#2671—31no—
202#2662—31no—
203#2630—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2601—31no—
208#2534—31no—
209#2534—31no—
210#2438—31no—
211#2437—31no—
212#2425—31no—
213#2424—31no—
214#2417—31no—
215#2416—31no—
216#2411—31no—
217#2410—31no—
218#2408—31no—
219C2×#394—31no—
220D4×C4⋊C4—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C2×D3×D4—42no—
231C2×D3×D4—42no—
232C2×D3×D4—42no—
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#126—24no—
255C3×#126—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#938—42no—
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#898—24no—
357#897—24no—
358#897—42no—
359#896—24no—
360#896—24no—
361#896—42no—
362#895—24no—
363#895—24no—
364#895—42no—
365#895—42no—
366#895—42no—
367#894—24no—
368#894—24no—
369#894—24no—
370#894—42no—
371#893—42no—
372#893D418yescomplemented
373#892—24no—
374D3×C4⋊C4—42no—
375D3×C4⋊C4—42no—
376#885—24no—
377#885—24no—
378#884—24no—
379#884—42no—
380#883—24no—
381#883—24no—
382#882—24no—
383#882—24no—
384#882—24no—
385#882—42no—
386D3×C22⋊C4—24no—
387D3×C22⋊C4—24no—
388D3×C22⋊C4—24no—
389D3×C22⋊C4—42no—
390D3×C22⋊C4—42no—
391#879—24no—
392#875—24no—
393C4×D12—24no—
394C4×D12—24no—
395C4×D12—42no—
396#872—24no—
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
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
423C23×D4—31no—
424#551—68no—
425#538—68no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126C2×D311yescharacteristic, complemented
429C2×#126C2×D311yescharacteristic, complemented
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
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×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C22×C4⋊C4—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#399—31no—
472#399C2×D311yescharacteristic, complemented
473#399C2×D311yescharacteristic, complemented
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
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#396C2×D311yescharacteristic, complemented
495#396C2×D311yescharacteristic, complemented
496#395—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394C2×D311yescharacteristic
517#394C2×D311yescharacteristic
518#393—31no—
519#393—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#391—31no—
527#391—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390C2×D311yescharacteristic
533#389—31no—
534#389C2×D311yescharacteristic, complemented
535#389C2×D311yescharacteristic, complemented
536#389C2×D311yescharacteristic, complemented
537#389C2×D311yescharacteristic, complemented
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388C2×D311yescharacteristic, complemented
545#388C2×D311yescharacteristic, complemented
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#384—31no—
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C4⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646D3×D4—416no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12C2×D414yes—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3C2×D414yes—
703C2×C4×D3C2×D414yescomplemented
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4C2×D414yescomplemented
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
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—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
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—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
783(C2×D3)⋊C4C2×D414yescomplemented
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
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—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3C2×D414yescomplemented
809C25—31no—
810C25—31no—
811C22×Q8—31no—
812C22×Q8—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—122no—
828C22×D4—122no—
829C22×D4—122no—
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842#126—24no—
843#126—24no—
844#126—64no—
845#126—64no—
846#124—64no—
847#124—64no—
848#124—64no—
849#123—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—122no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—122no—
859C22⋊Q8—122no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—122no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—64no—
869#120—64no—
870#120—64no—
871#120—122no—
872C4×D4—38no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—122no—
876C4×D4—122no—
877#117—64no—
878#117—64no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
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—122no—
902C2×C4⋊C4—122no—
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
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—64no—
963C2×C22⋊C4—64no—
964C2×C22⋊C4—64no—
965C2×C22⋊C4—122no—
966C2×C22⋊C4—122no—
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42C22×D311yescharacteristic
983C2×C42C22×D311yescharacteristic
984C2×C42C22×D311yescharacteristic
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3C2511yescharacteristic
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—44no—
1057C22×D3—44no—
1058C22×D3—44no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—82no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3—82no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3C22×D412yes—
1071C22×D3C22×D412yes—
1072C22×D3H(5,𝔽2)12yes—
1073C22×D3H(5,𝔽2)12yes—
1074C22×D32−1+412yes—
1075C3×D4—44no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
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×C4C22×D412yes—
1112C2×C3×C4C22×D412yes—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4H(5,𝔽2)12yes—
1115#67—44no—
1116#67—44no—
1117#67—82no—
1118#67—82no—
1119#67—82no—
1120#67—82no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
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×Dic3C22×D412yes—
1153C2×Dic3C22×D412yes—
1154D12—28no—
1155D12—44no—
1156D12—44no—
1157D12—44no—
1158D12—82no—
1159D12—82no—
1160D12—82no—
1161D12—82no—
1162C4×D3—44no—
1163C4×D3—44no—
1164C4×D3—44no—
1165C4×D3—44no—
1166C4×D3—44no—
1167C4×D3—82no—
1168C4×D3—82no—
1169C4×D3—82no—
1170C4×D3—82no—
1171C4×D3—82no—
1172C4×D3—82no—
1173Dic6—82no—
1174Dic6—82no—
1175C24—31no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—62no—
1181C24—62no—
1182C24—62no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—62no—
1187C24—121no—
1188C24—121no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×D4—22no—
1203C2×D4—34no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—1216no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—34no—
1251C22×C4—34no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4D3×D414yescomplemented
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—34no—
1347C22⋊C4—34no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
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—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
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—
1398C42—22no—
1399C42—22no—
1400C42—34no—
1401C42—41no—
1402C42—62no—
1403C42—121no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3C23×D411yescharacteristic
1419C22×C3C2×H(5,𝔽2)11yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3C2×2−1+411yescharacteristic
1423C22×C3#58511yescharacteristic
1424C22×C3#58511yescharacteristic
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—88no—
1460C2×D3—88no—
1461C2×D3#53714yes—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475Dic3—22no—
1476Dic3—22no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—32no—
1501C23—32no—
1502C23—32no—
1503C23—32no—
1504C23—32no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—124no—
1536C23—124no—
1537C23—124no—
1538C23—124no—
1539C23—124no—
1540C23—124no—
1541C23—124no—
1542C23—242no—
1543C23—242no—
1544C23—242no—
1545C23—242no—
1546C23—242no—
1547C23—242no—
1548C23—242no—
1549C23C24×D311yescharacteristic
1550Q8—242no—
1551Q8—242no—
1552D4—44no—
1553D4—68no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—32no—
1603C2×C4—32no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—124no—
1636C2×C4—124no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—242no—
1641C2×C4—242no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4C2×D3×D412yes—
1647C2×C4C2×D3×D412yes—
1648C2×C4C2×D3×D412yes—
1649C2×C4#100912yes—
1650C2×C3—81no—
1651C2×C3—81no—
1652C2×C3C2×#53711yescharacteristic
1653C2×C3#348811yescharacteristic
1654C2×C3#349611yescharacteristic
1655C2×C3#353211yescharacteristic
1656C2×C3#353311yescharacteristic
1657C2×C3#353511yescharacteristic
1658C2×C3#356111yescharacteristic
1659D3—24no—
1660D3—42no—
1661D3—42no—
1662D3—81no—
1663D3—81no—
1664C22—34no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—62no—
1680C22—62no—
1681C22—62no—
1682C22—62no—
1683C22—62no—
1684C22—62no—
1685C22—62no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—248no—
1714C22—248no—
1715C22C22×D3×D411yescharacteristic
1716C22C2×#100911yescharacteristic
1717C22#596411yescharacteristic
1718C22D3×H(5,𝔽2)11yescharacteristic
1719C22D3×H(5,𝔽2)11yescharacteristic
1720C22D3×2−1+411yescharacteristic
1721C22#596811yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—62no—
1736C4—62no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4051411yescharacteristic, complemented, Sylow
1747C2—64no—
1748C2—81no—
1749C2—81no—
1750C2—122no—
1751C2—122no—
1752C2—241no—
1753C2—241no—
1754C2D3×#53711yescharacteristic
1755C2#8641811yescharacteristic
1756C2#8645711yescharacteristic
1757C2#8670211yescharacteristic
1758C2#8676911yescharacteristic
1759C2#8699811yescharacteristic
1760C2#8712911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2727C2
hypercenter#2727D3
hypocenterC3#40514
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2727

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5704C2semidirect
3. C3×#2727C2semidirect
4. #83116C2semidirect
5. #83094C2semidirect
6. #78125C2semidirect
7. #78113C2semidirect
8. #78110C2semidirect
9. #78102C2semidirect
10. #77450C2semidirect
11. #77421C2semidirect
12. #77416C2semidirect
13. #77331C2semidirect
14. #77124C2semidirect
15. #77108C2semidirect
16. D3×#394C2semidirect
17. #77003C2semidirect
18. #76436C2semidirect
19. #76377C2semidirect
20. #76259C2semidirect
21. #76257C2semidirect
22. #76222C2semidirect
23. #76217C2semidirect
24. #76212C2semidirect
25. #76211C2semidirect
26. #76202C2semidirect
27. #76095C2semidirect
28. #75901C2semidirect
29. #75881C2semidirect
30. #75842C2semidirect
31. #75692C2semidirect
34. C2×C3×#126C22semidirect
35. C2×C3×#126C22semidirect
39. C2×#898C22semidirect
41. C2×#897C22semidirect
43. C2×#896C22semidirect
44. C2×#896C22semidirect
48. C2×#895C22semidirect
49. C2×#895C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
56. C2×#892C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×#885C22semidirect
60. C2×#885C22semidirect
62. C2×#884C22semidirect
63. C2×#883C22semidirect
64. C2×#883C22semidirect
74. C2×#879C22semidirect
75. C2×#875C22semidirect
78. C2×C4×D12C22semidirect
80. C3×#399C22semidirect
81. C3×#399C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
87. C3×#389C22semidirect
88. C3×#389C22semidirect
89. C3×#389C22semidirect
90. C3×#389C22semidirect
91. C3×#388C22semidirect
92. C3×#388C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4990C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
118. #4987C22semidirect
119. #4987C22semidirect
120. #4985C22semidirect
121. #4984C22semidirect
122. #4983C22semidirect
123. #4982C22semidirect
124. #4981C22semidirect
125. #4979C22semidirect
126. #4975C22semidirect
131. #4961C22semidirect
135. #4960C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
158. #4945C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
162. #4939C22semidirect
163. #4933C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4929C22semidirect
166. #4676C22semidirect
167. #4673C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
176. #4667C22semidirect
177. #4667C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
186. #4661C22semidirect
187. #4661C22semidirect
188. #4654C22semidirect
189. #4646C22semidirect
194. #2727D3semidirect
372. #893D4semidirect
428. C2×#126C2×D3semidirect
429. C2×#126C2×D3semidirect
472. #399C2×D3semidirect
473. #399C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
534. #389C2×D3semidirect
535. #389C2×D3semidirect
536. #389C2×D3semidirect
537. #389C2×D3semidirect
544. #388C2×D3semidirect
545. #388C2×D3semidirect
703. C2×C4×D3C2×D4semidirect
722. C3×C4⋊C4C2×D4semidirect
783. (C2×D3)⋊C4C2×D4semidirect
808. C4×Dic3C2×D4semidirect
1339. C4⋊C4D3×D4semidirect
1746. C3#40514semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#57042
C3×#27272
#831162
#830942
#781252
#781132
#781102
#781022
#774502
#774212
#774162
#773312
#771242
#771082
D3×#3942
#770032
#764362
#763772
#762592
#762572
#762222
#762172
#762122
#762112
#762022
#760952
#759012
#758812
#758422
#756922
#405143