Finite Group Databasebeta

← #11635440

Subgroups — #11635440

Order 768.

2386 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#529C211yesmaximal, characteristic, complemented
2C2×#5658C211yesmaximal, characteristic, complemented
3#83102C211yesmaximal, characteristic, complemented
4#83100C211yesmaximal, characteristic, complemented
5#83097C211yesmaximal, characteristic, complemented
6#83092C211yesmaximal, characteristic, complemented
7#83035C211yesmaximal, characteristic, complemented
8#83033C211yesmaximal, characteristic, complemented
9#82967C211yesmaximal, characteristic, complemented
10#82964C211yesmaximal, characteristic, complemented
11#82894C211yesmaximal, characteristic, complemented
12#82858C211yesmaximal, characteristic, complemented
13#82838C211yesmaximal, characteristic, complemented
14#82816C211yesmaximal, characteristic, complemented
15#82763C211yesmaximal, characteristic, complemented
16#82706C211yesmaximal, characteristic
17#82655C211yesmaximal, characteristic, complemented
18#82496C211yesmaximal, characteristic, complemented
19#82473C211yesmaximal, characteristic, complemented
20#82410C211yesmaximal, characteristic, complemented
21#82404C211yesmaximal, characteristic, complemented
22#82398C211yesmaximal, characteristic, complemented
23#82361C211yesmaximal, characteristic, complemented
24#82355C211yesmaximal, characteristic, complemented
25#82334C211yesmaximal, characteristic, complemented
26#82253C211yesmaximal, characteristic, complemented
27#82250C211yesmaximal, characteristic, complemented
28#82242C211yesmaximal, characteristic, complemented
29#82241C211yesmaximal, characteristic, complemented
30#82069C211yesmaximal, characteristic, complemented
31C2×#4940C211yesmaximal, characteristic, complemented
32#59108—31nomaximal, Sylow
33C3×#529—28no—
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#125C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×C4×Q8C2211yescharacteristic, complemented
43C2×C3×C4×D4C2211yescharacteristic
44C2×C3×C4×D4C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic, complemented
46C2×C3×#117C2211yescharacteristic, complemented
47C2×C3×#117C2211yescharacteristic, complemented
48C22×C3×C42C2211yescharacteristic
49C2×#946C2211yescharacteristic
50C2×#944C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic
54C2×#935C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C22×(C2×D3)⋊C4C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C2×#926C2211yescharacteristic
63C2×#926C2211yescharacteristic
64C22×Dic3⋊C4C2211yescharacteristic
65#5658—28no—
66C2×#898C2211yescharacteristic
67C2×#898C2211yescharacteristic
68C2×#897C2211yescharacteristic
69C2×#892C2211yescharacteristic
70C2×#886C2211yescharacteristic
71C2×#885C2211yescharacteristic
72C2×#883C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#878C2211yescharacteristic
76#5231C2211yescharacteristic
77#5230C2211yescharacteristic, complemented
78#5223C2211yescharacteristic
79#5222C2211yescharacteristic, complemented
80#5220C2211yescharacteristic
81#5220C2211yescharacteristic
82#5220C2211yescharacteristic
83#5220C2211yescharacteristic
84#5213C2211yescharacteristic
85#5213C2211yescharacteristic
86#5212C2211yescharacteristic, complemented
87#5210C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90#5210C2211yescharacteristic
91#5210C2211yescharacteristic, complemented
92#5210C2211yescharacteristic, complemented
93C2×C3⋊#95C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic
95C2×C3⋊#95C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic
101#4993C2211yescharacteristic
102#4993C2211yescharacteristic
103#4992C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4990C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4987C2211yescharacteristic
112#4986C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4981C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125#4978C2211yescharacteristic, complemented
126#4977C2211yescharacteristic, complemented
127#4976C2211yescharacteristic, complemented
128#4976C2211yescharacteristic, complemented
129#4975C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131#4972C2211yescharacteristic, complemented
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4958C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4956C2211yescharacteristic
144#4955C2211yescharacteristic
145#4953C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4950C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic, complemented
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166#4940C2211yescharacteristic
167#4940C2211yescharacteristic
168#4940C2211yescharacteristic
169#4940C2211yescharacteristic
170#4940C2211yescharacteristic
171#4940C2211yescharacteristic
172#4940C2211yescharacteristic
173#4940C2211yescharacteristic
174#4940C2211yescharacteristic
175#4940C2211yescharacteristic
176#4940C2211yescharacteristic
177C4×(C2×D3)⋊C4C2211yescharacteristic
178#4933C2211yescharacteristic, complemented
179C4×Dic3⋊C4C2211yescharacteristic, complemented
180C4×Dic3⋊C4C2211yescharacteristic, complemented
181C4×Dic3⋊C4C2211yescharacteristic, complemented
182C4×Dic3⋊C4C2211yescharacteristic, complemented
183C4×Dic3⋊C4C2211yescharacteristic, complemented
184#4929C2211yescharacteristic, complemented
185#4928C2211yescharacteristic, complemented
186#4928C2211yescharacteristic, complemented
187#4928C2211yescharacteristic, complemented
188#4928C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529D311yescharacteristic, complemented
192#2727—31no—
193#2723—31no—
194#2718—31no—
195#2695—31no—
196#2519—31no—
197#2498—31no—
198#2491—31no—
199#2479—31no—
200#2475—31no—
201#2474—31no—
202#2469—31no—
203#2461—31no—
204#2455—31no—
205#2450—31no—
206#2443—31no—
207#2440—31no—
208#2437—31no—
209#2429—31no—
210#2425—31no—
211#2424—31no—
212#2418—31no—
213#2411—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217#2354—31no—
218#2349—31no—
219#2296—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
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×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C3×#126—24no—
244C3×#126—24no—
245C3×#125—24no—
246C3×#124—24no—
247C3×#123—24no—
248C3×#123D418yescomplemented
249C3×C22⋊Q8—24no—
250C3×#121—24no—
251C3×C4×Q8—24no—
252C3×C4×D4—24no—
253C3×C4×D4—24no—
254C3×C4×D4—24no—
255C3×#117—24no—
256C3×#117—24no—
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×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×C42—24no—
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
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
297C2×#217C2311yescharacteristic
298#946—42no—
299#944—42no—
300#939—42no—
301#937—24no—
302#937—24no—
303#935—42no—
304D4×Dic3—24no—
305D4×Dic3—24no—
306#929—24no—
307C4×#67—24no—
308C2×(C2×D3)⋊C4—24no—
309C2×(C2×D3)⋊C4—24no—
310C2×(C2×D3)⋊C4—42no—
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
333#926—24no—
334#926—24no—
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×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#898—24no—
374#898—24no—
375#897—24no—
376#892—24no—
377#886—24no—
378#885—24no—
379#883—24no—
380#67⋊C4—24no—
381D3×C22⋊C4—24no—
382#878—24no—
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
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
417#551—68no—
418C2×C4⋊Q8—31no—
419#529—28no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126C2×D311yescharacteristic, complemented
423C2×#126C2×D311yescharacteristic, complemented
424C2×#125C2×D311yescharacteristic, complemented
425C2×#124—31no—
426C2×#124C2×D311yescharacteristic, complemented
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×#123C2×D311yescharacteristic
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8C2×D311yescharacteristic
437C2×#121—31no—
438C2×#121C2×D311yescharacteristic
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8C2×D311yescharacteristic, complemented
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4C2×D311yescharacteristic
447C2×C4×D4C2×D311yescharacteristic
448C2×C4×D4C2×D311yescharacteristic, complemented
449C2×#117—31no—
450C2×#117—31no—
451C2×#117—31no—
452C2×#117C2×D311yescharacteristic, complemented
453C2×#117C2×D311yescharacteristic, complemented
454C22×C4⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C42C2×D311yescharacteristic
460#400—31no—
461#400—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—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#393—31no—
490#393—31no—
491#392—31no—
492#391—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—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#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
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#384—31no—
555#382—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C4⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4C2×D414yes—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4C2×D414yes—
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—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
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
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4C2×D414yes—
684C3×C4⋊C4C2×D414yes—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4C2×D414yes—
693C3×C22⋊C4C2×D414yes—
694C3×C22⋊C4C2×D414yes—
695C3×C42—22no—
696C3×C42—22no—
697C3×C42—22no—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217#4114yes—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4#4114yes—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—41no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C25—31no—
775C22×Q8—31no—
776C22×Q8C22×D311yescharacteristic
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4C22×D311yescharacteristic
782C22×D4C22×D311yescharacteristic
783C22×D4C22×D311yescharacteristic
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4C22×D311yescharacteristic
792C23×C4C22×D311yescharacteristic
793C23×C4C22×D311yescharacteristic
794C23×C4C22×D311yescharacteristic
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—122no—
797#126—24no—
798#126—24no—
799#126—64no—
800#126—64no—
801#125—24no—
802#124—24no—
803#124—64no—
804#123—24no—
805#123—64no—
806#123—64no—
807#123—64no—
808#123—122no—
809#123#6718yescomplemented
810C22⋊Q8—24no—
811C22⋊Q8—64no—
812C22⋊Q8—64no—
813C22⋊Q8—122no—
814#121—24no—
815#121—122no—
816#120—64no—
817#120—64no—
818C4×Q8—24no—
819C4×D4—24no—
820C4×D4—24no—
821C4×D4—24no—
822C4×D4—64no—
823C4×D4—64no—
824C4×D4—64no—
825C4×D4—64no—
826#117—24no—
827#117—24no—
828#117—64no—
829#117—64no—
830#117—64no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—122no—
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
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—64no—
908C2×C22⋊C4—64no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—122no—
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C42—24no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
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—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3C22×D412yes—
988C23×C3C22×D412yes—
989C23×C3C2×#4112yes—
990C23×C32−1+412yes—
991C23×C3C2511yescharacteristic
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—82no—
1010C22×D3—82no—
1011C22×D3—82no—
1012C22×D3C2×#4112yes—
1013C3×Q8—44no—
1014C3×D4—28no—
1015C3×D4—44no—
1016C3×D4—44no—
1017C2×C3×C4—28no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—44no—
1048C2×C3×C4—44no—
1049C2×C3×C4—44no—
1050C2×C3×C4—44no—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4H(5,𝔽2)12yes—
1058#67—44no—
1059#67—44no—
1060#67—82no—
1061#67—82no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—44no—
1102C2×Dic3—82no—
1103C2×Dic3—82no—
1104C2×Dic3—82no—
1105C2×Dic3—82no—
1106C2×Dic3C2×#4112yes—
1107C2×Dic3C2×#4112yes—
1108C2×Dic3C2×#4112yes—
1109C4×D3—44no—
1110C4×D3—82no—
1111Dic6—82no—
1112C24—31no—
1113C24—31no—
1114C24—62no—
1115C24—62no—
1116C24—62no—
1117C24—62no—
1118C24—121no—
1119C24—121no—
1120C24—121no—
1121C24C23×D311yescharacteristic
1122C24C23×D311yescharacteristic
1123C24C23×D311yescharacteristic
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—41no—
1127C2×Q8—62no—
1128C2×Q8—121no—
1129C2×Q8—121no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—41no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4C2×#6714yes—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4C2×#6714yes—
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4C2×#6714yes—
1251C4⋊C4C2×#6714yes—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—34no—
1260C22⋊C4—34no—
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—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
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⋊C4C2×#6714yes—
1296C22⋊C4C2×#6714yes—
1297C22⋊C4C2×#6714yes—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—121no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3#54714yes—
1333C22×C3C23×D411yescharacteristic
1334C22×C3C22×#4111yescharacteristic
1335C22×C3C22×#4111yescharacteristic
1336C22×C3C2×H(5,𝔽2)11yescharacteristic
1337C22×C3C2×2−1+411yescharacteristic
1338C22×C3#58511yescharacteristic
1339C22×C3#58511yescharacteristic
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—88no—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367Dic3—22no—
1368Dic3—22no—
1369Dic3—22no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—32no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—124no—
1413C23—124no—
1414C23—124no—
1415C23—124no—
1416C23—242no—
1417C23—242no—
1418C23—242no—
1419C23D3×#4112yes—
1420C23#101012yes—
1421C23C22×#6712yes—
1422C23C22×#6712yes—
1423C23C24×D311yescharacteristic
1424Q8—44no—
1425Q8—242no—
1426D4—28no—
1427D4—44no—
1428D4—44no—
1429D4—124no—
1430D4—124no—
1431D4—242no—
1432D4—242no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—32no—
1464C2×C4—32no—
1465C2×C4—32no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—242no—
1512C2×C4—242no—
1513C2×C4—242no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4D3×#4112yes—
1517C2×C4#100912yes—
1518C2×C4C22×#6712yes—
1519C2×C4C22×#6712yes—
1520C2×C4C22×#6712yes—
1521C2×C4C22×#6712yes—
1522C2×C4C22×#6712yes—
1523C2×C3—24no—
1524C2×C3—42no—
1525C2×C3—81no—
1526C2×C3C2×#54711yescharacteristic
1527C2×C3D4×#4111yescharacteristic
1528C2×C3#347511yescharacteristic
1529C2×C3#348811yescharacteristic
1530C2×C3#351411yescharacteristic
1531C2×C3#352011yescharacteristic
1532C2×C3#356411yescharacteristic
1533D3—42no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—62no—
1556C22—62no—
1557C22—62no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—248no—
1570C22#582414yes—
1571C22C2×D3×#4111yescharacteristic
1572C22C2×D3×#4111yescharacteristic
1573C22C2×#100911yescharacteristic
1574C22C2×#101011yescharacteristic
1575C22#596411yescharacteristic
1576C22#596411yescharacteristic
1577C22C23×#6711yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—62no—
1591C4—62no—
1592C4—62no—
1593C4—121no—
1594C4—121no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#5910811yescharacteristic, complemented, Sylow
1605C2—24no—
1606C2—42no—
1607C2—81no—
1608C2—122no—
1609C2—241no—
1610C2#8615011yescharacteristic
1611C2#8616211yescharacteristic
1612C2#8616711yescharacteristic
1613C2#8618111yescharacteristic
1614C2C2×#582411yescharacteristic
1615C2#41×#6711yescharacteristic
1616C2#8727511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#529C2
prime radical#82706C2
hypercenterC2×#529D3
hypocenterC3#59108
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×C3×#529C2semidirect
2. C2×#5658C2semidirect
3. #83102C2semidirect
4. #83100C2semidirect
5. #83097C2semidirect
6. #83092C2semidirect
7. #83035C2semidirect
8. #83033C2semidirect
9. #82967C2semidirect
10. #82964C2semidirect
11. #82894C2semidirect
12. #82858C2semidirect
13. #82838C2semidirect
14. #82816C2semidirect
15. #82763C2semidirect
17. #82655C2semidirect
18. #82496C2semidirect
19. #82473C2semidirect
20. #82410C2semidirect
21. #82404C2semidirect
22. #82398C2semidirect
23. #82361C2semidirect
24. #82355C2semidirect
25. #82334C2semidirect
26. #82253C2semidirect
27. #82250C2semidirect
28. #82242C2semidirect
29. #82241C2semidirect
30. #82069C2semidirect
31. C2×#4940C2semidirect
34. C2×C3×#126C22semidirect
35. C2×C3×#126C22semidirect
36. C2×C3×#125C22semidirect
37. C2×C3×#124C22semidirect
42. C2×C3×C4×Q8C22semidirect
45. C2×C3×C4×D4C22semidirect
46. C2×C3×#117C22semidirect
47. C2×C3×#117C22semidirect
50. C2×#944C22semidirect
54. C2×#935C22semidirect
77. #5230C22semidirect
79. #5222C22semidirect
86. #5212C22semidirect
91. #5210C22semidirect
92. #5210C22semidirect
95. C2×C3⋊#95C22semidirect
112. #4986C22semidirect
113. #4986C22semidirect
114. #4984C22semidirect
115. #4983C22semidirect
116. #4982C22semidirect
117. #4981C22semidirect
118. #4981C22semidirect
119. #4981C22semidirect
120. #4980C22semidirect
121. #4980C22semidirect
122. #4979C22semidirect
123. #4978C22semidirect
124. #4978C22semidirect
125. #4978C22semidirect
126. #4977C22semidirect
127. #4976C22semidirect
128. #4976C22semidirect
129. #4975C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. #4972C22semidirect
145. #4953C22semidirect
146. #4952C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
150. #4950C22semidirect
151. #4949C22semidirect
152. #4949C22semidirect
153. #4948C22semidirect
154. #4947C22semidirect
156. #4946C22semidirect
157. #4946C22semidirect
158. #4944C22semidirect
159. #4944C22semidirect
160. #4944C22semidirect
163. #4942C22semidirect
165. Dic3×C22⋊C4C22semidirect
178. #4933C22semidirect
179. C4×Dic3⋊C4C22semidirect
180. C4×Dic3⋊C4C22semidirect
181. C4×Dic3⋊C4C22semidirect
182. C4×Dic3⋊C4C22semidirect
183. C4×Dic3⋊C4C22semidirect
184. #4929C22semidirect
185. #4928C22semidirect
186. #4928C22semidirect
187. #4928C22semidirect
188. #4928C22semidirect
189. #4928C22semidirect
191. C2×#529D3semidirect
248. C3×#123D4semidirect
422. C2×#126C2×D3semidirect
423. C2×#126C2×D3semidirect
424. C2×#125C2×D3semidirect
426. C2×#124C2×D3semidirect
441. C2×C4×Q8C2×D3semidirect
448. C2×C4×D4C2×D3semidirect
452. C2×#117C2×D3semidirect
453. C2×#117C2×D3semidirect
809. #123#67semidirect
1604. C3#59108semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5292
C2×#56582
#831022
#831002
#830972
#830922
#830352
#830332
#829672
#829642
#828942
#828582
#828382
#828162
#827632
#827062
#826552
#824962
#824732
#824102
#824042
#823982
#823612
#823552
#823342
#822532
#822502
#822422
#822412
#820692
C2×#49402
#591083