Finite Group Databasebeta

← #11025416

Subgroups — #11025416

Order 768.

2552 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5561C211yesmaximal, characteristic, complemented
2C22×#885C211yesmaximal, characteristic, complemented
3C3×#2358C211yesmaximal, characteristic, complemented
4#82605C211yesmaximal, characteristic
5#82589C211yesmaximal, characteristic, complemented
6#82404C211yesmaximal, characteristic, complemented
7#82367C211yesmaximal, characteristic, complemented
8#82349C211yesmaximal, characteristic, complemented
9#82126C211yesmaximal, characteristic, complemented
10#82112C211yesmaximal, characteristic, complemented
11#82110C211yesmaximal, characteristic, complemented
12#76451C211yesmaximal, characteristic, complemented
13#76377C211yesmaximal, characteristic, complemented
14#75925C211yesmaximal, characteristic, complemented
15#75711C211yesmaximal, characteristic, complemented
16#75652C211yesmaximal, characteristic, complemented
17#75528C211yesmaximal, characteristic, complemented
18#74920C211yesmaximal, characteristic, complemented
19#74914C211yesmaximal, characteristic, complemented
20#74870C211yesmaximal, characteristic, complemented
21#74828C211yesmaximal, characteristic, complemented
22#74822C211yesmaximal, characteristic, complemented
23#74727C211yesmaximal, characteristic, complemented
24#74640C211yesmaximal, characteristic, complemented
25#74508C211yesmaximal, characteristic, complemented
26#74413C211yesmaximal, characteristic, complemented
27#74412C211yesmaximal, characteristic, complemented
28#73574C211yesmaximal, characteristic, complemented
29#73527C211yesmaximal, characteristic, complemented
30#73452C211yesmaximal, characteristic, complemented
31C4×#878C211yesmaximal, characteristic, complemented
32#37718—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#936C2211yescharacteristic, complemented
45C2×#929C2211yescharacteristic
46C2×#929C2211yescharacteristic
47C2×#929C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C2×#924C2211yescharacteristic, complemented
51C2×#924C2211yescharacteristic, complemented
52C2×#924C2211yescharacteristic, complemented
53C22×C4×Dic3C2211yescharacteristic
54#5561—28no—
55C2×#897C2211yescharacteristic, complemented
56C2×#888C2211yescharacteristic, complemented
57C2×#888C2211yescharacteristic, complemented
58C2×#885—28no—
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic
67C2×#885C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#879C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#872C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#390C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic, complemented
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5247C2211yescharacteristic
86#5247C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5222C2211yescharacteristic, complemented
91#5221C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5212C2211yescharacteristic
99#5212C2211yescharacteristic, complemented
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#5210C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104C4×#217C2211yescharacteristic
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic, complemented
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4953C2211yescharacteristic, complemented
130#4953C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4949C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4948C2211yescharacteristic, complemented
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic, complemented
142#4947C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic
148#4945C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156#4940C2211yescharacteristic, complemented
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
161C4×C4⋊Dic3C2211yescharacteristic, complemented
162C4×Dic3⋊C4C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164#4929C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×#124—31no—
192#2852—31no—
193#2731—31no—
194#2730—31no—
195#2717—31no—
196#2712—31no—
197#2700—31no—
198#2686—31no—
199#2674—31no—
200#2672—31no—
201#2662—31no—
202#2632—31no—
203#2521—31no—
204#2491—31no—
205#2480—31no—
206#2474—31no—
207#2472—31no—
208#2472—31no—
209#2461—31no—
210#2437—31no—
211#2437—31no—
212#2434—31no—
213#2418—31no—
214#2410—31no—
215#2409—31no—
216#2405—31no—
217#2358D311yescharacteristic, complemented
218#2342—31no—
219#2337—31no—
220C4×C22⋊Q8—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6—24no—
246C22×Dic6—42no—
247C22×Dic6—42no—
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#120—24no—
255C3×C4×D4—24no—
256C3×C4×D4—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4—24no—
261C2×C3×C22⋊C4—42no—
262C2×C3×C22⋊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×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217—24no—
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
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#938—24no—
303#938—42no—
304#937—42no—
305#936—24no—
306#929—24no—
307#929—24no—
308#929—42no—
309C2×(C2×D3)⋊C4—24no—
310C2×(C2×D3)⋊C4—24no—
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
339#924—24no—
340#924—24no—
341#924—42no—
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×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×C4×Dic3—24no—
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367#897—24no—
368#888—24no—
369#888—42no—
370#885—24no—
371#885—24no—
372#885—24no—
373#885—24no—
374#885—24no—
375#885—24no—
376#885—24no—
377#885—24no—
378#885D418yescomplemented
379D3×C22⋊C4—24no—
380#879—24no—
381#879—24no—
382#878—24no—
383#878—42no—
384#872—24no—
385C4×Dic6—24no—
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
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
420C23×Q8—31no—
421C23×D4—31no—
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—68no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120C2×D311yescharacteristic
451C2×C4×Q8—31no—
452C2×C4×D4C2×D311yescharacteristic
453C2×C4×D4C2×D311yescharacteristic, complemented
454C2×#117—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4C2×D311yescharacteristic
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C42—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#395—31no—
478#395—31no—
479#395—31no—
480#395—31no—
481#395—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390C2×D311yescharacteristic, complemented
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388C2×D311yescharacteristic, complemented
528#388C2×D311yescharacteristic, complemented
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic, complemented
544#386C2×D311yescharacteristic, complemented
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic, complemented
558#383—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4C2×D311yescharacteristic
576C4×C22⋊C4C2×D311yescharacteristic, complemented
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—416no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67C2×D414yes—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—416no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C2×Dic6C2×D414yes—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4C2×D414yes—
715C3×C22⋊C4#4114yes—
716C3×C42—22no—
717C3×C42—41no—
718C3×C42—41no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217C2×D414yes—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
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—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4C2×D414yes—
760(C2×D3)⋊C4C2×D414yes—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3C2×D414yes—
793C25—31no—
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×Q8—31no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×Q8—31no—
800C22×Q8—31no—
801C22×Q8—64no—
802C22×Q8—122no—
803C22×Q8—122no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—64no—
811C22×D4—122no—
812C22×D4—122no—
813C22×D4C22×D311yescharacteristic
814C22×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826C4⋊Q8—64no—
827C4⋊Q8—122no—
828#126—64no—
829#126—64no—
830#124—38no—
831#124—64no—
832#124—64no—
833#124—64no—
834#124—64no—
835#124—64no—
836#124—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—64no—
850#121—122no—
851#120—24no—
852#120—122no—
853C4×Q8—64no—
854C4×D4—24no—
855C4×D4—42no—
856#117—64no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C22⋊C4—24no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
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—42no—
928C2×C22⋊C4—64no—
929C2×C22⋊C4—64no—
930C2×C22⋊C4—64no—
931C2×C22⋊C4—64no—
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—64no—
955C2×C42C22×D311yescharacteristic
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3—82no—
1021C23×C3—82no—
1022C23×C3—82no—
1023C23×C3C22×D412yes—
1024C23×C3C2×#4112yes—
1025C23×C3H(5,𝔽2)12yes—
1026C23×C32−1+412yes—
1027C23×C3C2511yescharacteristic
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—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3C22×D412yes—
1049C3×D4—44no—
1050C3×D4—44no—
1051C3×D4—82no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—44no—
1082C2×C3×C4—44no—
1083C2×C3×C4—82no—
1084C2×C3×C4—82no—
1085C2×C3×C4—82no—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C2×#4112yes—
1089C2×C3×C4C2×#4112yes—
1090#67—44no—
1091#67—44no—
1092#67—44no—
1093#67—44no—
1094#67—82no—
1095#67—82no—
1096C2×Dic3—28no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
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—44no—
1136C2×Dic3—44no—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139C2×Dic3C22×D412yes—
1140C2×Dic3H(5,𝔽2)12yes—
1141C4×D3—44no—
1142C4×D3—82no—
1143Dic6—44no—
1144Dic6—44no—
1145Dic6—44no—
1146Dic6—44no—
1147Dic6—44no—
1148Dic6—82no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—22no—
1153C24—31no—
1154C24—31no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—62no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C2×Q8—34no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—1216no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—34no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—1216no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—34no—
1307C22⋊C4—34no—
1308C22⋊C4—34no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4#23514yes—
1353C22⋊C4D3×D414yes—
1354C42—22no—
1355C42—34no—
1356C42—41no—
1357C42—41no—
1358C42—62no—
1359C42—62no—
1360C42—62no—
1361C42—62no—
1362C42—62no—
1363C42—121no—
1364C42—121no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—88no—
1393C22×C3#54214yescomplemented
1394C22×C3C23×D411yescharacteristic
1395C22×C3C22×#4111yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×H(5,𝔽2)11yescharacteristic
1398C22×C3C2×2−1+411yescharacteristic
1399C22×C3#58511yescharacteristic
1400C22×C3#58511yescharacteristic
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—88no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—32no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—242no—
1491C23—242no—
1492C23—242no—
1493C23C2×#23512yes—
1494C23C2×D3×D412yes—
1495C23#100412yes—
1496C23#101012yes—
1497C23C24×D311yescharacteristic
1498Q8—124no—
1499Q8—124no—
1500Q8—124no—
1501Q8—124no—
1502Q8—124no—
1503Q8—242no—
1504D4—44no—
1505D4—44no—
1506D4—82no—
1507D4—124no—
1508D4—124no—
1509D4—124no—
1510D4—124no—
1511D4—242no—
1512D4—242no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—32no—
1545C2×C4—32no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—68no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—82no—
1588C2×C4—82no—
1589C2×C4—82no—
1590C2×C4—124no—
1591C2×C4—124no—
1592C2×C4—124no—
1593C2×C4—242no—
1594C2×C4C2×#23512yes—
1595C2×C4C2×#23512yes—
1596C2×C4C2×D3×D412yes—
1597C2×C4C2×D3×D412yes—
1598C2×C3—24no—
1599C2×C3—42no—
1600C2×C3—81no—
1601C2×C3—81no—
1602C2×C3C2×#54211yescharacteristic
1603C2×C3D4×#4111yescharacteristic
1604C2×C3#348411yescharacteristic
1605C2×C3#348911yescharacteristic
1606C2×C3#351411yescharacteristic
1607C2×C3#354511yescharacteristic
1608C2×C3#356111yescharacteristic
1609D3—42no—
1610D3—81no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—88no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—248no—
1654C22#556114yescomplemented
1655C22C22×#23511yescharacteristic
1656C22C22×D3×D411yescharacteristic
1657C22C2×#100411yescharacteristic
1658C22C2×#101011yescharacteristic
1659C22#596411yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22#596611yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—62no—
1674C4—62no—
1675C4—62no—
1676C4—62no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#3771811yescharacteristic, complemented, Sylow
1688C2—24no—
1689C2—42no—
1690C2—81no—
1691C2—81no—
1692C2—122no—
1693C2—241no—
1694C2C2×#556111yescharacteristic
1695C2D4×#23511yescharacteristic
1696C2#8586411yescharacteristic
1697C2#8662011yescharacteristic
1698C2#8663011yescharacteristic
1699C2#8665211yescharacteristic
1700C2#8680811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2358C2
prime radical#82605C2
hypercenter#2358D3
hypocenterC3#37718
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
1. C2×#5561C2semidirect
2. C22×#885C2semidirect
3. C3×#2358C2semidirect
5. #82589C2semidirect
6. #82404C2semidirect
7. #82367C2semidirect
8. #82349C2semidirect
9. #82126C2semidirect
10. #82112C2semidirect
11. #82110C2semidirect
12. #76451C2semidirect
13. #76377C2semidirect
14. #75925C2semidirect
15. #75711C2semidirect
16. #75652C2semidirect
17. #75528C2semidirect
18. #74920C2semidirect
19. #74914C2semidirect
20. #74870C2semidirect
21. #74828C2semidirect
22. #74822C2semidirect
23. #74727C2semidirect
24. #74640C2semidirect
25. #74508C2semidirect
26. #74413C2semidirect
27. #74412C2semidirect
28. #73574C2semidirect
29. #73527C2semidirect
30. #73452C2semidirect
31. C4×#878C2semidirect
37. C2×C3×C4×D4C22semidirect
44. C2×#936C22semidirect
47. C2×#929C22semidirect
50. C2×#924C22semidirect
51. C2×#924C22semidirect
52. C2×#924C22semidirect
55. C2×#897C22semidirect
56. C2×#888C22semidirect
57. C2×#888C22semidirect
67. C2×#885C22semidirect
69. C2×#879C22semidirect
70. C2×#879C22semidirect
73. C2×#872C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#390C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
79. C3×#386C22semidirect
80. C3×#386C22semidirect
82. C3×#385C22semidirect
84. C3×C4×C22⋊C4C22semidirect
89. #5222C22semidirect
90. #5222C22semidirect
91. #5221C22semidirect
97. #5213C22semidirect
99. #5212C22semidirect
102. #5210C22semidirect
103. #5210C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4993C22semidirect
108. #4992C22semidirect
109. #4987C22semidirect
110. #4979C22semidirect
111. #4979C22semidirect
112. #4979C22semidirect
113. #4979C22semidirect
116. #4961C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4957C22semidirect
129. #4953C22semidirect
130. #4953C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
137. #4949C22semidirect
138. #4948C22semidirect
139. #4948C22semidirect
140. #4948C22semidirect
141. #4947C22semidirect
142. #4947C22semidirect
143. #4947C22semidirect
144. #4947C22semidirect
148. #4945C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
156. #4940C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. C4×(C2×D3)⋊C4C22semidirect
161. C4×C4⋊Dic3C22semidirect
162. C4×Dic3⋊C4C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. #4929C22semidirect
165. #4929C22semidirect
166. #4677C22semidirect
167. #4675C22semidirect
168. #4673C22semidirect
169. #4673C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4667C22semidirect
177. #4664C22semidirect
178. #4656C22semidirect
179. #4656C22semidirect
180. #4655C22semidirect
181. #4655C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4651C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
217. #2358D3semidirect
378. #885D4semidirect
453. C2×C4×D4C2×D3semidirect
509. #390C2×D3semidirect
527. #388C2×D3semidirect
528. #388C2×D3semidirect
543. #386C2×D3semidirect
544. #386C2×D3semidirect
557. #385C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
1393. C22×C3#542semidirect
1654. C22#5561semidirect
1687. C3#37718semidirect

Maximal subgroups

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

subgroupindex
C2×#55612
C22×#8852
C3×#23582
#826052
#825892
#824042
#823672
#823492
#821262
#821122
#821102
#764512
#763772
#759252
#757112
#756522
#755282
#749202
#749142
#748702
#748282
#748222
#747272
#746402
#745082
#744132
#744122
#735742
#735272
#734522
C4×#8782
#377183