Finite Group Databasebeta

← #11098302

Subgroups — #11098302

Order 768.

2574 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5707C211yesmaximal, characteristic, complemented
2C2×#5676C211yesmaximal, characteristic, complemented
3C3×#2662C211yesmaximal, characteristic, complemented
4#83112C211yesmaximal, characteristic, complemented
5#82992C211yesmaximal, characteristic, complemented
6#77424C211yesmaximal, characteristic, complemented
7#77423C211yesmaximal, characteristic, complemented
8D3×#396C211yesmaximal, characteristic, complemented
9#77331C211yesmaximal, characteristic, complemented
10#77249C211yesmaximal, characteristic, complemented
11#77220C211yesmaximal, characteristic, complemented
12#77160C211yesmaximal, characteristic, complemented
13#77119C211yesmaximal, characteristic, complemented
14#77109C211yesmaximal, characteristic, complemented
15#77106C211yesmaximal, characteristic, complemented
16#77033C211yesmaximal, characteristic, complemented
17#76898C211yesmaximal, characteristic, complemented
18#76864C211yesmaximal, characteristic, complemented
19#76824C211yesmaximal, characteristic, complemented
20#76755C211yesmaximal, characteristic, complemented
21#76715C211yesmaximal, characteristic, complemented
22#76463C211yesmaximal, characteristic, complemented
23#76454C211yesmaximal, characteristic, complemented
24#76390C211yesmaximal, characteristic, complemented
25#76335C211yesmaximal, characteristic, complemented
26#75931C211yesmaximal, characteristic, complemented
27#75919C211yesmaximal, characteristic, complemented
28#75868C211yesmaximal, characteristic, complemented
29#75527C211yesmaximal, characteristic, complemented
30#73771C211yesmaximal, characteristic, complemented
31#73720C211yesmaximal, characteristic, complemented
32#40517—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#124C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#939C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43#5707—28no—
44#5676—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#897C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic, complemented
50C2×#892C2211yescharacteristic, complemented
51C2×D3×C4⋊C4C2211yescharacteristic, complemented
52C2×D3×C4⋊C4C2211yescharacteristic, complemented
53C2×D3×C4⋊C4C2211yescharacteristic, complemented
54C2×#890C2211yescharacteristic, complemented
55C2×#886C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic, complemented
75C2×C4×D12C2211yescharacteristic
76C2×C4×D12C2211yescharacteristic
77C2×#870C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#395C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#393C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic
86C3×#390C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×C4×C4⋊C4C2211yescharacteristic, complemented
91#5230C2211yescharacteristic, complemented
92#5230C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5221C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4993C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic, complemented
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4986C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4953C2211yescharacteristic, complemented
141#4953C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4947C2211yescharacteristic, complemented
156#4942C2211yescharacteristic, complemented
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4939C2211yescharacteristic
160#4939C2211yescharacteristic
161C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163#4936C2211yescharacteristic, complemented
164#4936C2211yescharacteristic, complemented
165#4935C2211yescharacteristic, complemented
166#4676C2211yescharacteristic
167#4673C2211yescharacteristic
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539—31no—
192#2820—31no—
193#2813—31no—
194#2720—31no—
195#2718—31no—
196#2711—31no—
197#2706—31no—
198#2692—31no—
199#2685—31no—
200#2678—31no—
201#2676—31no—
202#2662D311yescharacteristic, complemented
203#2636—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2566—31no—
208#2539—31no—
209#2534—31no—
210#2501—31no—
211#2488—31no—
212#2472—31no—
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2406—31no—
218#2405—31no—
219C2×#396—31no—
220#2352—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#239—24no—
237C2×#239—42no—
238C2×#239—42no—
239C2×D3×D4—24no—
240C2×D3×D4—42no—
241C2×D3×D4—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#126—24no—
258C3×#124—24no—
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×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×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
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#946—24no—
298#939—42no—
299#938—24no—
300#938—42no—
301#937—42no—
302#937—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#897—24no—
366#896—24no—
367#894—24no—
368#894—42no—
369#892—42no—
370D3×C4⋊C4—24no—
371D3×C4⋊C4—42no—
372D3×C4⋊C4—42no—
373#890—24no—
374#886—24no—
375#885—42no—
376#884—24no—
377#884—24no—
378#884—24no—
379#884—42no—
380#883—24no—
381#883—24no—
382#883—24no—
383#883—24no—
384#883—42no—
385#883—42no—
386#882—24no—
387#882—24no—
388#67⋊C4—24no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392D3×C22⋊C4—42no—
393#878—24no—
394C4×D12—24no—
395C4×D12D418yescomplemented
396#870—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
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#539—68no—
427C2×#126—31no—
428C2×#126C2×D311yescharacteristic, complemented
429C2×#125—31no—
430C2×#125—31no—
431C2×#124—31no—
432C2×#124C2×D311yescharacteristic
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×#117—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#397—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#395—31no—
498#395C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
514#394C2×D311yescharacteristic, complemented
515#394C2×D311yescharacteristic, complemented
516#393—31no—
517#393—31no—
518#393C2×D311yescharacteristic, complemented
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392C2×D311yescharacteristic
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390C2×D311yescharacteristic, complemented
532#390C2×D311yescharacteristic, complemented
533#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388C2×D311yescharacteristic, complemented
541#388C2×D311yescharacteristic, complemented
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#384—31no—
565#384—31no—
566#382—31no—
567#382—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C4⋊C4C2×D311yescharacteristic, complemented
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
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×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C22×Dic3—22no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664#239—416no—
665D3×D4—416no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12C2×D414yes—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
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×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3C2×D414yes—
707C2×C4×D3C2×D414yes—
708C2×Dic6—22no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—41no—
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×C42—41no—
734C3×C42—41no—
735C3×C42C2×D414yes—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
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—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
778(C2×D3)⋊C4C2×D414yes—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3C2×D414yes—
791Dic3⋊C4—22no—
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—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C25—31no—
811C25—31no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C22×Q8—31no—
816C22×Q8C22×D311yescharacteristic
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—31no—
828C22×D4—31no—
829C22×D4—64no—
830C22×D4—122no—
831C22×D4—122no—
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846#126—24no—
847#126—64no—
848#125—64no—
849#125—64no—
850#124—24no—
851#124—122no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—122no—
859#123—122no—
860#123—122no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865#121—64no—
866#121—64no—
867#121—64no—
868#121—64no—
869#121—122no—
870#121—122no—
871#121—122no—
872#120—64no—
873#120—64no—
874#120—122no—
875#120—122no—
876C4×D4—38no—
877C4×D4—64no—
878C4×D4—64no—
879#117—122no—
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—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—64no—
909C2×C4⋊C4—122no—
910C2×C4⋊C4—122no—
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
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—64no—
962C2×C22⋊C4—64no—
963C2×C22⋊C4—122no—
964C2×C22⋊C4—122no—
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
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×C22⋊C4C22×D311yescharacteristic
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42C22×D311yescharacteristic
984C2×C42C22×D311yescharacteristic
985C2×C42C22×D311yescharacteristic
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#95—31no—
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
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×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3C2511yescharacteristic
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—21no—
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×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3H(5,𝔽2)12yes—
1074C22×D3H(5,𝔽2)12yes—
1075C22×D32−1+412yes—
1076C3×Q8—44no—
1077C3×D4—44no—
1078C3×D4—82no—
1079C3×D4—82no—
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×C4—21no—
1112C2×C3×C4C22×D412yes—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4H(5,𝔽2)12yes—
1116#67—44no—
1117#67—44no—
1118#67—44no—
1119#67—82no—
1120#67—82no—
1121#67—82no—
1122#67—82no—
1123#67—82no—
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×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—82no—
1159C2×Dic3C22×D412yes—
1160C2×Dic3C22×D412yes—
1161D12—28no—
1162D12—44no—
1163D12—44no—
1164D12—44no—
1165C4×D3—44no—
1166C4×D3—44no—
1167C4×D3—44no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—44no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—82no—
1174C4×D3—82no—
1175Dic6—82no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—62no—
1181C24—62no—
1182C24—62no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—121no—
1187C24—121no—
1188C24—121no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C24C23×D311yescharacteristic
1197#41—1216no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—62no—
1202C2×Q8—121no—
1203C2×Q8—121no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—34no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
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—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
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—121no—
1248C2×D4—121no—
1249C2×D4—1216no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—34no—
1253C22×C4—34no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
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—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
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×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
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
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—34no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
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—62no—
1328C4⋊C4—62no—
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⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—34no—
1351C22⋊C4—34no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
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—121no—
1377C22⋊C4—121no—
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—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C42—41no—
1401C42—41no—
1402C42—62no—
1403C42—62no—
1404C42—121no—
1405C42D3×D414yes—
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×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3C23×D411yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3C2×2−1+411yescharacteristic
1432C22×C3#58511yescharacteristic
1433C22×C3#58511yescharacteristic
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
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—41no—
1460C2×D3—41no—
1461C2×D3—88no—
1462C2×D3—88no—
1463C2×D3#53514yes—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476Dic3—22no—
1477Dic3—22no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
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—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—32no—
1510C23—32no—
1511C23—32no—
1512C23—32no—
1513C23—32no—
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—61no—
1536C23—61no—
1537C23—124no—
1538C23—124no—
1539C23—124no—
1540C23—124no—
1541C23—124no—
1542C23—124no—
1543C23—242no—
1544C23—242no—
1545C23—242no—
1546C23—242no—
1547C23—242no—
1548C23—242no—
1549C23—242no—
1550C23—242no—
1551C23C24×D311yescharacteristic
1552Q8—44no—
1553Q8—242no—
1554D4—44no—
1555D4—68no—
1556D4—82no—
1557D4—82no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—124no—
1563D4—124no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567D4—242no—
1568D4—242no—
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—32no—
1602C2×C4—32no—
1603C2×C4—61no—
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—61no—
1636C2×C4—61no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—124no—
1644C2×C4—124no—
1645C2×C4—242no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4C2×D3×D412yes—
1649C2×C4C2×D3×D412yes—
1650C2×C4C2×D3×D412yes—
1651C2×C4#100912yes—
1652C2×C3—81no—
1653C2×C3—81no—
1654C2×C3—81no—
1655C2×C3C2×#53511yescharacteristic
1656C2×C3#348911yescharacteristic
1657C2×C3#349611yescharacteristic
1658C2×C3#353411yescharacteristic
1659C2×C3#353511yescharacteristic
1660C2×C3#353611yescharacteristic
1661C2×C3#356011yescharacteristic
1662D3—24no—
1663D3—42no—
1664D3—42no—
1665D3—81no—
1666C22—34no—
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—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—62no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
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—121no—
1714C22—121no—
1715C22—248no—
1716C22—248no—
1717C22C22×D3×D411yescharacteristic
1718C22C2×#100911yescharacteristic
1719C22#596411yescharacteristic
1720C22D3×H(5,𝔽2)11yescharacteristic
1721C22D3×H(5,𝔽2)11yescharacteristic
1722C22#596611yescharacteristic
1723C22D3×2−1+411yescharacteristic
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—62no—
1737C4—62no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C3#4051711yescharacteristic, complemented, Sylow
1749C2—64no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—122no—
1754C2—122no—
1755C2—241no—
1756C2#8624111yescharacteristic
1757C2D3×#53511yescharacteristic
1758C2#8638011yescharacteristic
1759C2#8642011yescharacteristic
1760C2#8642611yescharacteristic
1761C2#8656011yescharacteristic
1762C2#8656111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2662C2
hypercenter#2662D3
hypocenterC3#40517
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2662

Complements

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

NH ≅ G/Ntype
1. C2×#5707C2semidirect
2. C2×#5676C2semidirect
3. C3×#2662C2semidirect
4. #83112C2semidirect
5. #82992C2semidirect
6. #77424C2semidirect
7. #77423C2semidirect
8. D3×#396C2semidirect
9. #77331C2semidirect
10. #77249C2semidirect
11. #77220C2semidirect
12. #77160C2semidirect
13. #77119C2semidirect
14. #77109C2semidirect
15. #77106C2semidirect
16. #77033C2semidirect
17. #76898C2semidirect
18. #76864C2semidirect
19. #76824C2semidirect
20. #76755C2semidirect
21. #76715C2semidirect
22. #76463C2semidirect
23. #76454C2semidirect
24. #76390C2semidirect
25. #76335C2semidirect
26. #75931C2semidirect
27. #75919C2semidirect
28. #75868C2semidirect
29. #75527C2semidirect
30. #73771C2semidirect
31. #73720C2semidirect
35. C2×C3×#126C22semidirect
38. C2×#939C22semidirect
45. C2×#898C22semidirect
46. C2×#897C22semidirect
47. C2×#896C22semidirect
49. C2×#894C22semidirect
50. C2×#892C22semidirect
51. C2×D3×C4⋊C4C22semidirect
52. C2×D3×C4⋊C4C22semidirect
53. C2×D3×C4⋊C4C22semidirect
54. C2×#890C22semidirect
55. C2×#886C22semidirect
56. C2×#885C22semidirect
60. C2×#884C22semidirect
64. C2×#883C22semidirect
65. C2×#883C22semidirect
66. C2×#883C22semidirect
69. C2×#67⋊C4C22semidirect
74. C2×#878C22semidirect
77. C2×#870C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
80. C3×#395C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
84. C3×#393C22semidirect
86. C3×#390C22semidirect
87. C3×#390C22semidirect
88. C3×#388C22semidirect
89. C3×#388C22semidirect
90. C3×C4×C4⋊C4C22semidirect
91. #5230C22semidirect
92. #5230C22semidirect
94. #5223C22semidirect
97. #5221C22semidirect
98. #5220C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4994C22semidirect
108. #4991C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4986C22semidirect
115. #4982C22semidirect
116. #4975C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
124. #4960C22semidirect
126. #4959C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
140. #4953C22semidirect
141. #4953C22semidirect
142. #4951C22semidirect
143. #4951C22semidirect
144. #4949C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4949C22semidirect
148. #4949C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4947C22semidirect
156. #4942C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
161. C4×(C2×D3)⋊C4C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. #4936C22semidirect
164. #4936C22semidirect
165. #4935C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. D3×#95C22semidirect
184. #4660C22semidirect
185. #4657C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
202. #2662D3semidirect
395. C4×D12D4semidirect
428. C2×#126C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
498. #395C2×D3semidirect
514. #394C2×D3semidirect
515. #394C2×D3semidirect
518. #393C2×D3semidirect
531. #390C2×D3semidirect
532. #390C2×D3semidirect
540. #388C2×D3semidirect
541. #388C2×D3semidirect
576. C4×C4⋊C4C2×D3semidirect
1748. C3#40517semidirect

Maximal subgroups

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

subgroupindex
C2×#57072
C2×#56762
C3×#26622
#831122
#829922
#774242
#774232
D3×#3962
#773312
#772492
#772202
#771602
#771192
#771092
#771062
#770332
#768982
#768642
#768242
#767552
#767152
#764632
#764542
#763902
#763352
#759312
#759192
#758682
#755272
#737712
#737202
#405173