Finite Group Databasebeta

← #11098065

Subgroups — #11098065

Order 768.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#551C211yesmaximal, characteristic, complemented
2C2×#5493C211yesmaximal, characteristic, complemented
3#83114C211yesmaximal, characteristic, complemented
4#83114C211yesmaximal, characteristic, complemented
5#83097C211yesmaximal, characteristic, complemented
6#83097C211yesmaximal, characteristic, complemented
7#83003C211yesmaximal, characteristic, complemented
8#82986C211yesmaximal, characteristic, complemented
9#82911C211yesmaximal, characteristic, complemented
10#82907C211yesmaximal, characteristic, complemented
11#82901C211yesmaximal, characteristic, complemented
12#82881C211yesmaximal, characteristic, complemented
13#82867C211yesmaximal, characteristic, complemented
14#82859C211yesmaximal, characteristic, complemented
15#82833C211yesmaximal, characteristic, complemented
16#82821C211yesmaximal, characteristic, complemented
17#82771C211yesmaximal, characteristic, complemented
18#82769C211yesmaximal, characteristic, complemented
19#82607C211yesmaximal, characteristic, complemented
20#82606C211yesmaximal, characteristic, complemented
21#82422C211yesmaximal, characteristic, complemented
22#82407C211yesmaximal, characteristic, complemented
23#82355C211yesmaximal, characteristic, complemented
24#82350C211yesmaximal, characteristic, complemented
25#82288C211yesmaximal, characteristic, complemented
26#82275C211yesmaximal, characteristic, complemented
27#82257C211yesmaximal, characteristic, complemented
28#82246C211yesmaximal, characteristic, complemented
29#82126C211yesmaximal, characteristic, complemented
30C2×#4959C211yesmaximal, characteristic, complemented
31#82097C211yesmaximal, characteristic, complemented
32#40509—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C3×#551—28no—
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#124C2211yescharacteristic, complemented
39C2×C3×#123C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×C22⋊Q8C2211yescharacteristic, complemented
43C2×C3×C22⋊Q8C2211yescharacteristic, complemented
44C2×C3×#120C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic, complemented
46C2×C3×C4×D4C2211yescharacteristic, complemented
47C2×C3×#117C2211yescharacteristic, complemented
48C2×C3×#117C2211yescharacteristic, complemented
49C22×C3×C22⋊C4C2211yescharacteristic
50C22×C3×C22⋊C4C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C2×#947C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#937C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic, complemented
57C2×#935C2211yescharacteristic, complemented
58C2×#930C2211yescharacteristic
59C2×#930C2211yescharacteristic
60C2×#930C2211yescharacteristic
61C2×#930C2211yescharacteristic
62C2×#930C2211yescharacteristic, complemented
63C2×#929C2211yescharacteristic
64C2×#929C2211yescharacteristic
65C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
66C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
67C2×#926C2211yescharacteristic, complemented
68C22×Dic3⋊C4C2211yescharacteristic, complemented
69#5493—28no—
70C2×#886C2211yescharacteristic
71C2×#886C2211yescharacteristic
72C2×#886C2211yescharacteristic
73C2×#886C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78#5247C2211yescharacteristic
79#5231C2211yescharacteristic, complemented
80#5231C2211yescharacteristic, complemented
81#5229C2211yescharacteristic, complemented
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic, complemented
85#5223C2211yescharacteristic, complemented
86#5223C2211yescharacteristic, complemented
87#5223C2211yescharacteristic, complemented
88#5220C2211yescharacteristic, complemented
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic, complemented
94#5212C2211yescharacteristic, complemented
95#5211C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4988C2211yescharacteristic, complemented
120#4988C2211yescharacteristic, complemented
121#4988C2211yescharacteristic, complemented
122#4986C2211yescharacteristic, complemented
123#4986C2211yescharacteristic, complemented
124#4981C2211yescharacteristic, complemented
125#4981C2211yescharacteristic, complemented
126#4981C2211yescharacteristic, complemented
127#4977C2211yescharacteristic, complemented
128#4975C2211yescharacteristic, complemented
129#4975C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4959C2211yescharacteristic, complemented
148#4959C2211yescharacteristic, complemented
149#4959C2211yescharacteristic, complemented
150#4959C2211yescharacteristic, complemented
151#4959C2211yescharacteristic, complemented
152#4959C2211yescharacteristic, complemented
153#4958C2211yescharacteristic
154#4958C2211yescharacteristic
155#4957C2211yescharacteristic, complemented
156#4957C2211yescharacteristic, complemented
157#4957C2211yescharacteristic, complemented
158#4957C2211yescharacteristic, complemented
159#4955C2211yescharacteristic, complemented
160#4955C2211yescharacteristic, complemented
161#4955C2211yescharacteristic, complemented
162#4955C2211yescharacteristic, complemented
163#4953C2211yescharacteristic, complemented
164#4951C2211yescharacteristic, complemented
165#4951C2211yescharacteristic, complemented
166#4951C2211yescharacteristic, complemented
167#4951C2211yescharacteristic, complemented
168#4950C2211yescharacteristic, complemented
169#4950C2211yescharacteristic, complemented
170#4949C2211yescharacteristic, complemented
171#4949C2211yescharacteristic, complemented
172#4946C2211yescharacteristic, complemented
173#4946C2211yescharacteristic, complemented
174#4946C2211yescharacteristic, complemented
175#4943C2211yescharacteristic, complemented
176Dic3×C22⋊C4C2211yescharacteristic, complemented
177Dic3×C22⋊C4C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179#4940C2211yescharacteristic, complemented
180#4940C2211yescharacteristic, complemented
181#4940C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4939C2211yescharacteristic, complemented
185#4939C2211yescharacteristic, complemented
186#4939C2211yescharacteristic, complemented
187#4928C2211yescharacteristic, complemented
188#4928C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#551D311yescharacteristic, complemented
191C2×#534—31no—
192#2816—31no—
193#2813—31no—
194#2718—31no—
195#2718—31no—
196#2710—31no—
197#2706—31no—
198#2685—31no—
199#2685—31no—
200#2678—31no—
201#2670—31no—
202#2661—31no—
203#2635—31no—
204#2624—31no—
205#2620—31no—
206#2613—31no—
207#2539—31no—
208#2501—31no—
209#2500—31no—
210#2488—31no—
211#2472—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2413—31no—
216#2411—31no—
217#2410—31no—
218#2405—31no—
219C2×#394—31no—
220#2342—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67—24no—
234C22×#67—24no—
235C22×#67—42no—
236C22×#67—42no—
237C22×#67—42no—
238C22×#67—42no—
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C3×#126—24no—
260C3×#126—24no—
261C3×#124—24no—
262C3×#123—24no—
263C3×#123—24no—
264C3×#123—24no—
265C3×C22⋊Q8—24no—
266C3×C22⋊Q8—24no—
267C3×#120—24no—
268C3×C4×D4—24no—
269C3×C4×D4—24no—
270C3×#117—24no—
271C3×#117—24no—
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4—24no—
281C2×C3×C22⋊C4D418yescomplemented
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217—42no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#947—42no—
315#939—42no—
316#939—42no—
317#937—42no—
318#937—42no—
319#935—42no—
320#930—24no—
321#930—24no—
322#930—24no—
323#930—24no—
324#930—42no—
325#929—42no—
326#929—42no—
327C2×(C2×D3)⋊C4—42no—
328C2×(C2×D3)⋊C4—42no—
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365#926—42no—
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×Dic3⋊C4—42no—
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#886—24no—
392#886—24no—
393#886—24no—
394#886—24no—
395#882—24no—
396#882—24no—
397#882—24no—
398#882—24no—
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×D4—31no—
424C23×D4—31no—
425#551—28no—
426#534—68no—
427C2×#126C2×D311yescharacteristic, complemented
428C2×#126C2×D311yescharacteristic, complemented
429C2×#124—31no—
430C2×#124C2×D311yescharacteristic, complemented
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic, complemented
439C2×#123C2×D311yescharacteristic, complemented
440C2×#123C2×D311yescharacteristic, complemented
441C2×C22⋊Q8C2×D311yescharacteristic, complemented
442C2×C22⋊Q8C2×D311yescharacteristic, complemented
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120C2×D311yescharacteristic
457C2×C4×D4C2×D311yescharacteristic, complemented
458C2×C4×D4C2×D311yescharacteristic, complemented
459C2×#117—31no—
460C2×#117C2×D311yescharacteristic, complemented
461C2×#117C2×D311yescharacteristic, complemented
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
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#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#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#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—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#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3C2×D414yes—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×Q8—22no—
610C2×C3×Q8—41no—
611C2×C3×Q8—41no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2×D414yes—
635C22×C3×C4C2×D414yes—
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—416no—
684C2×#67—416no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4C2×D414yes—
740C3×C22⋊C4C2×D414yes—
741C3×C22⋊C4C2×D414yes—
742C3×C22⋊C4C2×D414yes—
743C3×C42—22no—
744C3×C42—22no—
745C3×C42—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816C4×Dic3—22no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C25C22×D311yescharacteristic
823C22×Q8C22×D311yescharacteristic
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—64no—
841C22×D4—64no—
842C22×D4—122no—
843C22×D4—122no—
844C22×D4—122no—
845C22×D4—122no—
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4C22×D311yescharacteristic
854C23×C4C22×D311yescharacteristic
855C23×C4C22×D311yescharacteristic
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858#126—24no—
859#126—24no—
860#124—24no—
861#124—122no—
862#123—24no—
863#123—24no—
864#123—24no—
865#123—64no—
866#123—64no—
867#123—64no—
868#123—64no—
869#123—122no—
870#123—122no—
871#123—122no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—122no—
879#121—122no—
880#121—122no—
881#120—24no—
882#120—64no—
883#120—64no—
884#120—64no—
885#120—64no—
886#120—122no—
887#120—122no—
888C4×D4—24no—
889C4×D4—24no—
890#117—24no—
891#117—24no—
892#117—122no—
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—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—122no—
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C22⋊C4—24no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—122no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4#6718yescomplemented
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42C22×D311yescharacteristic
996C2×C42C22×D311yescharacteristic
997C2×C42C22×D311yescharacteristic
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#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—28no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—44no—
1047C23×C3—44no—
1048C23×C3—82no—
1049C23×C3—82no—
1050C23×C3—82no—
1051C23×C3—82no—
1052C23×C3C22×D412yes—
1053C23×C3C22×D412yes—
1054C23×C3C22×D412yes—
1055C23×C3H(5,𝔽2)12yes—
1056C23×C3H(5,𝔽2)12yes—
1057C23×C3C2511yescharacteristic
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C3×Q8—82no—
1101C3×D4—44no—
1102C3×D4—44no—
1103C3×D4—82no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—44no—
1134C2×C3×C4—44no—
1135C2×C3×C4—44no—
1136C2×C3×C4—82no—
1137C2×C3×C4—82no—
1138C2×C3×C4C22×D412yes—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142#67—44no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—44no—
1190C2×Dic3—44no—
1191C2×Dic3—44no—
1192C2×Dic3—82no—
1193C2×Dic3H(5,𝔽2)12yes—
1194D12—82no—
1195D12—82no—
1196D12—82no—
1197D12—82no—
1198C24—22no—
1199C24—22no—
1200C24—31no—
1201C24—31no—
1202C24—31no—
1203C24—31no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24C2×#6714yes—
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—22no—
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—1216no—
1288C2×D4—1216no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4C2×#6714yes—
1327C22×C4C2×#6714yes—
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—121no—
1353C4⋊C4—121no—
1354C4⋊C4—121no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4C2×#6714yes—
1428C22⋊C4C2×#6714yes—
1429C22⋊C4C2×#6714yes—
1430C22⋊C4C2×#6714yes—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—62no—
1435C42—121no—
1436C42—121no—
1437C42—121no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—88no—
1466C22×C3#53514yes—
1467C22×C3C23×D411yescharacteristic
1468C22×C3C2×H(5,𝔽2)11yescharacteristic
1469C22×C3C2×H(5,𝔽2)11yescharacteristic
1470C22×C3C2×H(5,𝔽2)11yescharacteristic
1471C22×C3#58511yescharacteristic
1472C22×C3#58511yescharacteristic
1473C22×C3#58511yescharacteristic
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—88no—
1503C2×D3—88no—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—22no—
1507C3×C4—22no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515Dic3—22no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—28no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—44no—
1552C23—44no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—124no—
1586C23—124no—
1587C23—124no—
1588C23—124no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23—242no—
1594C23—242no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23#100912yes—
1600C23#100912yes—
1601C23C22×#6712yes—
1602C23C22×#6712yes—
1603C23C22×#6712yes—
1604C23C24×D311yescharacteristic
1605Q8—82no—
1606D4—44no—
1607D4—44no—
1608D4—82no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—242no—
1618D4—242no—
1619D4—242no—
1620D4—242no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—32no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—82no—
1694C2×C4—82no—
1695C2×C4—124no—
1696C2×C4—124no—
1697C2×C4—124no—
1698C2×C4—242no—
1699C2×C4C22×#6712yes—
1700C2×C4C22×#6712yes—
1701C2×C4C22×#6712yes—
1702C2×C4C22×#6712yes—
1703C2×C3—24no—
1704C2×C3—42no—
1705C2×C3—42no—
1706C2×C3—81no—
1707C2×C3C2×#53511yescharacteristic
1708C2×C3#348511yescharacteristic
1709C2×C3#349611yescharacteristic
1710C2×C3#353311yescharacteristic
1711C2×C3#353411yescharacteristic
1712C2×C3#354211yescharacteristic
1713C2×C3#354511yescharacteristic
1714D3—81no—
1715D3—81no—
1716D3—81no—
1717D3—81no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—88no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—248no—
1775C22—248no—
1776C22#583014yes—
1777C22C2×#100911yescharacteristic
1778C22C2×#100911yescharacteristic
1779C22#596411yescharacteristic
1780C22#596411yescharacteristic
1781C22D3×H(5,𝔽2)11yescharacteristic
1782C22#596611yescharacteristic
1783C22C23×#6711yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—62no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C3#4050911yescharacteristic, complemented, Sylow
1808C2—24no—
1809C2—42no—
1810C2—42no—
1811C2—81no—
1812C2—241no—
1813C2—241no—
1814C2—241no—
1815C2—241no—
1816C2#8680111yescharacteristic
1817C2#8680511yescharacteristic
1818C2#8680611yescharacteristic
1819C2#8681911yescharacteristic
1820C2C2×#583011yescharacteristic
1821C2#8727311yescharacteristic
1822C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#551C2
hypercenterC2×#551D3
hypocenterC3#40509
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. C2×C3×#551C2semidirect
2. C2×#5493C2semidirect
3. #83114C2semidirect
4. #83114C2semidirect
5. #83097C2semidirect
6. #83097C2semidirect
7. #83003C2semidirect
8. #82986C2semidirect
9. #82911C2semidirect
10. #82907C2semidirect
11. #82901C2semidirect
12. #82881C2semidirect
13. #82867C2semidirect
14. #82859C2semidirect
15. #82833C2semidirect
16. #82821C2semidirect
17. #82771C2semidirect
18. #82769C2semidirect
19. #82607C2semidirect
20. #82606C2semidirect
21. #82422C2semidirect
22. #82407C2semidirect
23. #82355C2semidirect
24. #82350C2semidirect
25. #82288C2semidirect
26. #82275C2semidirect
27. #82257C2semidirect
28. #82246C2semidirect
29. #82126C2semidirect
30. C2×#4959C2semidirect
31. #82097C2semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#124C22semidirect
39. C2×C3×#123C22semidirect
40. C2×C3×#123C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×C22⋊Q8C22semidirect
45. C2×C3×C4×D4C22semidirect
46. C2×C3×C4×D4C22semidirect
47. C2×C3×#117C22semidirect
48. C2×C3×#117C22semidirect
52. C2×#947C22semidirect
55. C2×#937C22semidirect
56. C2×#937C22semidirect
57. C2×#935C22semidirect
62. C2×#930C22semidirect
65. C22×(C2×D3)⋊C4C22semidirect
66. C22×(C2×D3)⋊C4C22semidirect
67. C2×#926C22semidirect
68. C22×Dic3⋊C4C22semidirect
79. #5231C22semidirect
80. #5231C22semidirect
81. #5229C22semidirect
84. #5223C22semidirect
85. #5223C22semidirect
86. #5223C22semidirect
87. #5223C22semidirect
88. #5220C22semidirect
91. #5213C22semidirect
92. #5213C22semidirect
93. #5212C22semidirect
94. #5212C22semidirect
95. #5211C22semidirect
96. C4×#217C22semidirect
97. C2×C3⋊#95C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4993C22semidirect
108. #4992C22semidirect
109. #4992C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4991C22semidirect
115. #4990C22semidirect
116. #4990C22semidirect
117. #4990C22semidirect
118. #4990C22semidirect
119. #4988C22semidirect
120. #4988C22semidirect
121. #4988C22semidirect
122. #4986C22semidirect
123. #4986C22semidirect
124. #4981C22semidirect
125. #4981C22semidirect
126. #4981C22semidirect
127. #4977C22semidirect
128. #4975C22semidirect
129. #4975C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
146. #4959C22semidirect
147. #4959C22semidirect
148. #4959C22semidirect
149. #4959C22semidirect
150. #4959C22semidirect
151. #4959C22semidirect
152. #4959C22semidirect
155. #4957C22semidirect
156. #4957C22semidirect
157. #4957C22semidirect
158. #4957C22semidirect
159. #4955C22semidirect
160. #4955C22semidirect
161. #4955C22semidirect
162. #4955C22semidirect
163. #4953C22semidirect
164. #4951C22semidirect
165. #4951C22semidirect
166. #4951C22semidirect
167. #4951C22semidirect
168. #4950C22semidirect
169. #4950C22semidirect
170. #4949C22semidirect
171. #4949C22semidirect
172. #4946C22semidirect
173. #4946C22semidirect
174. #4946C22semidirect
175. #4943C22semidirect
176. Dic3×C22⋊C4C22semidirect
177. Dic3×C22⋊C4C22semidirect
178. #4940C22semidirect
179. #4940C22semidirect
180. #4940C22semidirect
181. #4940C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4939C22semidirect
185. #4939C22semidirect
186. #4939C22semidirect
187. #4928C22semidirect
188. #4928C22semidirect
189. #4928C22semidirect
190. C2×#551D3semidirect
281. C2×C3×C22⋊C4D4semidirect
427. C2×#126C2×D3semidirect
428. C2×#126C2×D3semidirect
430. C2×#124C2×D3semidirect
438. C2×#123C2×D3semidirect
439. C2×#123C2×D3semidirect
440. C2×#123C2×D3semidirect
441. C2×C22⋊Q8C2×D3semidirect
442. C2×C22⋊Q8C2×D3semidirect
457. C2×C4×D4C2×D3semidirect
458. C2×C4×D4C2×D3semidirect
460. C2×#117C2×D3semidirect
461. C2×#117C2×D3semidirect
976. C2×C22⋊C4#67semidirect
1807. C3#40509semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5512
C2×#54932
#831142
#830972
#830032
#829862
#829112
#829072
#829012
#828812
#828672
#828592
#828332
#828212
#827712
#827692
#826072
#826062
#824222
#824072
#823552
#823502
#822882
#822752
#822572
#822462
#821262
C2×#49592
#820972
#405093