Finite Group Databasebeta

← #11633131

Subgroups — #11633131

Order 768.

2814 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#551C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic, complemented
3#83116C211yesmaximal, characteristic, complemented
4#83110C211yesmaximal, characteristic, complemented
5#83106C211yesmaximal, characteristic, complemented
6#83106C211yesmaximal, characteristic, complemented
7#82997C211yesmaximal, characteristic, complemented
8#82975C211yesmaximal, characteristic, complemented
9#82909C211yesmaximal, characteristic, complemented
10#82905C211yesmaximal, characteristic, complemented
11#82850C211yesmaximal, characteristic, complemented
12#82846C211yesmaximal, characteristic, complemented
13#82838C211yesmaximal, characteristic, complemented
14#82830C211yesmaximal, characteristic, complemented
15#82769C211yesmaximal, characteristic, complemented
16#82762C211yesmaximal, characteristic, complemented
17#82756C211yesmaximal, characteristic, complemented
18#82582C211yesmaximal, characteristic, complemented
19#82581C211yesmaximal, characteristic, complemented
20#82413C211yesmaximal, characteristic, complemented
21#82404C211yesmaximal, characteristic, complemented
22#82342C211yesmaximal, characteristic, complemented
23#82330C211yesmaximal, characteristic, complemented
24#82281C211yesmaximal, characteristic, complemented
25#82267C211yesmaximal, characteristic, complemented
26#82255C211yesmaximal, characteristic, complemented
27#82244C211yesmaximal, characteristic, complemented
28#82127C211yesmaximal, characteristic, complemented
29C2×#4956C211yesmaximal, characteristic, complemented
30#82106C211yesmaximal, characteristic, complemented
31#82098C211yesmaximal, characteristic, complemented
32#59007—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C3×#551—28no—
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#126C2211yescharacteristic, complemented
39C2×C3×#124C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×C22⋊Q8C2211yescharacteristic
44C2×C3×C22⋊Q8C2211yescharacteristic, complemented
45C2×C3×#120C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C2×C3×#117C2211yescharacteristic
49C2×C3×#117C2211yescharacteristic, complemented
50C22×C3×C22⋊C4C2211yescharacteristic
51C22×C3×C22⋊C4C2211yescharacteristic
52C2×#953C2211yescharacteristic
53C22×#217C2211yescharacteristic
54C2×#947C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×D4×Dic3C2211yescharacteristic
59C2×#930C2211yescharacteristic
60C2×#930C2211yescharacteristic
61C2×#929C2211yescharacteristic
62C2×#929C2211yescharacteristic, complemented
63C22×(C2×D3)⋊C4C2211yescharacteristic
64C2×#926C2211yescharacteristic
65#5656—28no—
66C2×#896C2211yescharacteristic, complemented
67C2×#896C2211yescharacteristic, complemented
68C2×#893C2211yescharacteristic, complemented
69C2×#893C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×#877C2211yescharacteristic
76#5247C2211yescharacteristic
77#5231C2211yescharacteristic, complemented
78#5230C2211yescharacteristic, complemented
79#5229C2211yescharacteristic, complemented
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic, complemented
83#5223C2211yescharacteristic, complemented
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic, complemented
86#5220C2211yescharacteristic, complemented
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5210C2211yescharacteristic
93#5210C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic
98C2×C3⋊#95C2211yescharacteristic
99C2×C3⋊#95C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4988C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4985C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4984C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126#4973C2211yescharacteristic, complemented
127#4972C2211yescharacteristic, complemented
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic, complemented
133#4961C2211yescharacteristic, complemented
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic, complemented
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic
150#4956C2211yescharacteristic
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4950C2211yescharacteristic
160#4950C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4944C2211yescharacteristic, complemented
171#4943C2211yescharacteristic
172#4943C2211yescharacteristic
173#4943C2211yescharacteristic, complemented
174#4942C2211yescharacteristic
175#4942C2211yescharacteristic
176Dic3×C22⋊C4C2211yescharacteristic
177Dic3×C22⋊C4C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179#4940C2211yescharacteristic, complemented
180#4940C2211yescharacteristic, complemented
181#4940C2211yescharacteristic, complemented
182C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
183C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
184C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
185C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
186C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188#4933C2211yescharacteristic, complemented
189#4929C2211yescharacteristic, complemented
190C2×#551D311yescharacteristic, complemented
191C2×#525—31no—
192#2703—31no—
193#2702—31no—
194#2692—31no—
195#2671—31no—
196#2560—31no—
197#2555—31no—
198#2498—31no—
199#2477—31no—
200#2472—31no—
201#2467—31no—
202#2467—31no—
203#2464—31no—
204#2459—31no—
205#2457—31no—
206#2438—31no—
207#2427—31no—
208#2425—31no—
209#2418—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2404—31no—
214#2364—31no—
215#2363—31no—
216#2359—31no—
217#2342—31no—
218#2339—31no—
219C2×#386—31no—
220#2280—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67—24no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C2×#237—24no—
251C2×#237—24no—
252C2×#237—42no—
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×C4×D3—24no—
256C22×C4×D3—24no—
257C22×C4×D3—42no—
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#126—24no—
265C3×#126—24no—
266C3×#124—24no—
267C3×#123—24no—
268C3×#123—24no—
269C3×#123D418yescomplemented
270C3×C22⋊Q8—24no—
271C3×C22⋊Q8—24no—
272C3×#120—24no—
273C3×C4×D4—24no—
274C3×C4×D4—24no—
275C3×#117—24no—
276C3×#117—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4—24no—
286C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303C2×C3×C42C2311yescharacteristic
304#953—42no—
305C2×#217—24no—
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#947—42no—
323#939—24no—
324#939—42no—
325#937—24no—
326D4×Dic3—42no—
327#930—24no—
328#930—42no—
329#929—24no—
330#929—42no—
331C2×(C2×D3)⋊C4—42no—
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
356#926—42no—
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#896—24no—
380#896—24no—
381#893—24no—
382#893—24no—
383#884—24no—
384#884—24no—
385#882—24no—
386#67⋊C4—24no—
387#67⋊C4—24no—
388#877—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425C24×C4—31no—
426#551—28no—
427C2×#126C2×D311yescharacteristic, complemented
428C2×#126C2×D311yescharacteristic, complemented
429C2×#124—31no—
430C2×#124C2×D311yescharacteristic, complemented
431#525—68no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic, complemented
436C2×#123C2×D311yescharacteristic, complemented
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8C2×D311yescharacteristic
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120C2×D311yescharacteristic
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4C2×D311yescharacteristic
457C2×C4×D4C2×D311yescharacteristic, complemented
458C2×#117—31no—
459C2×#117—31no—
460C2×#117C2×D311yescharacteristic
461C2×#117C2×D311yescharacteristic, complemented
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4C2×D311yescharacteristic
465C22×C22⋊C4C2×D311yescharacteristic
466#400—31no—
467#400—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#395—31no—
479#394—31no—
480#394—31no—
481#394—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#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#389—31no—
507#389—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#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—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#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#379—31no—
565#379—31no—
566#379—31no—
567C4×C4⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4C2×D414yes—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4C2×D414yes—
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
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—416no—
669C2×#67#4114yescomplemented
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3#4114yes—
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698#237—416no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—41no—
704C2×D12—41no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—416no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4C2×D414yescomplemented
731C3×C4⋊C4C2×D414yescomplemented
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⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4C2×D414yes—
744C3×C22⋊C4C2×D414yescomplemented
745C3×C22⋊C4C2×D414yescomplemented
746C3×C42—22no—
747C3×C42—22no—
748C3×C42—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
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—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
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—
789C4⋊Dic3—22no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804C4×Dic3—22no—
805C4×Dic3—22no—
806C4×Dic3—41no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25C22×D311yescharacteristic
813C2×#41—64no—
814C2×#41—64no—
815C2×#41—122no—
816C22×Q8—31no—
817C22×Q8C22×D311yescharacteristic
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—64no—
831C22×D4—122no—
832C22×D4—122no—
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—64no—
847C23×C4—64no—
848C23×C4—122no—
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852C23×C4C22×D311yescharacteristic
853C23×C4C22×D311yescharacteristic
854#126—24no—
855#126—24no—
856#124—24no—
857#124—122no—
858#123—24no—
859#123—24no—
860#123—64no—
861#123—122no—
862#123#6718yescomplemented
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867#121—64no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—122no—
872#121—122no—
873#120—24no—
874#120—64no—
875#120—64no—
876#120—122no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—64no—
880C4×D4—64no—
881C4×D4—64no—
882C4×D4—64no—
883C4×D4—122no—
884#117—24no—
885#117—24no—
886#117—64no—
887#117—122no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C22⋊C4—24no—
912C2×C22⋊C4—24no—
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—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—64no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42C22×D311yescharacteristic
977C2×C42C22×D311yescharacteristic
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—44no—
1037C23×C3—44no—
1038C23×C3—44no—
1039C23×C3—44no—
1040C23×C3—82no—
1041C23×C3—82no—
1042C23×C3—82no—
1043C23×C3C22×D412yes—
1044C23×C3C22×D412yes—
1045C23×C3C2×#4112yes—
1046C23×C3C2×#4112yes—
1047C23×C3H(5,𝔽2)12yes—
1048C23×C3C2511yescharacteristic
1049C22×D3—28no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
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—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3C2×#4112yes—
1076C22×D3H(5,𝔽2)12yes—
1077C3×Q8—82no—
1078C3×D4—28no—
1079C3×D4—44no—
1080C3×D4—82no—
1081C2×C3×C4—28no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—44no—
1111C2×C3×C4—82no—
1112C2×C3×C4—82no—
1113C2×C3×C4—82no—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4C22×D412yes—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C22×D412yes—
1119#67—44no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—82no—
1128#67—82no—
1129C2×Dic3—28no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—44no—
1167C2×Dic3—44no—
1168C2×Dic3—82no—
1169C2×Dic3—82no—
1170C2×Dic3C2×#4112yes—
1171C2×Dic3C2×#4112yes—
1172C2×Dic3C2×#4112yes—
1173D12—44no—
1174D12—44no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180Dic6—44no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—31no—
1186C24—31no—
1187C24—31no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—121no—
1197C24—121no—
1198C24C23×D311yescharacteristic
1199C24C23×D311yescharacteristic
1200C24C23×D311yescharacteristic
1201C24C23×D311yescharacteristic
1202#41—1216no—
1203C2×Q8—22no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×Q8—62no—
1207C2×Q8—62no—
1208C2×Q8—121no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—34no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—1216no—
1254C2×D4C2×#6714yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—34no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—1216no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4C2×#6714yes—
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4C2×#6714yescomplemented
1347C4⋊C4C2×#6714yescomplemented
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4C2×#6714yes—
1400C22⋊C4C2×#6714yescomplemented
1401C22⋊C4C2×#6714yescomplemented
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—62no—
1406C42—62no—
1407C42—121no—
1408C42—121no—
1409C42—121no—
1410C42—121no—
1411C42—121no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—22no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—88no—
1440C22×C3#54614yes—
1441C22×C3C23×D411yescharacteristic
1442C22×C3C22×#4111yescharacteristic
1443C22×C3C22×#4111yescharacteristic
1444C22×C3C2×H(5,𝔽2)11yescharacteristic
1445C22×C3C2×H(5,𝔽2)11yescharacteristic
1446C22×C3#58511yescharacteristic
1447C22×C3#58511yescharacteristic
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—416no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C3×C4—22no—
1471C3×C4—22no—
1472C3×C4—22no—
1473C3×C4—22no—
1474C3×C4—22no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481Dic3—22no—
1482Dic3—22no—
1483Dic3—22no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—32no—
1518C23—32no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—68no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23D3×#4112yes—
1553C23D3×#4112yes—
1554C23#100912yes—
1555C23C22×#6712yes—
1556C23C22×#6712yes—
1557C23C24×D311yescharacteristic
1558Q8—82no—
1559Q8—124no—
1560D4—28no—
1561D4—44no—
1562D4—82no—
1563D4—124no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—124no—
1573D4—242no—
1574D4—242no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—28no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—32no—
1605C2×C4—32no—
1606C2×C4—32no—
1607C2×C4—44no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—68no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—82no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—124no—
1649C2×C4—124no—
1650C2×C4—124no—
1651C2×C4—124no—
1652C2×C4—124no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—242no—
1656C2×C4—242no—
1657C2×C4C22×#6712yes—
1658C2×C4C22×#6712yes—
1659C2×C4C22×#6712yes—
1660C2×C4C22×#6712yes—
1661C2×C4C22×#6712yes—
1662C2×C3—24no—
1663C2×C3—42no—
1664C2×C3—42no—
1665C2×C3—81no—
1666C2×C3C2×#54611yescharacteristic
1667C2×C3D4×#4111yescharacteristic
1668C2×C3#347511yescharacteristic
1669C2×C3#348811yescharacteristic
1670C2×C3#349011yescharacteristic
1671C2×C3#349411yescharacteristic
1672C2×C3#353311yescharacteristic
1673D3—42no—
1674D3—42no—
1675D3—81no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—88no—
1710C22—1216no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22#582914yes—
1727C22C2×D3×#4111yescharacteristic
1728C22C2×D3×#4111yescharacteristic
1729C22C2×#100911yescharacteristic
1730C22#596411yescharacteristic
1731C22D3×H(5,𝔽2)11yescharacteristic
1732C22#596611yescharacteristic
1733C22C23×#6711yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—62no—
1746C4—62no—
1747C4—62no—
1748C4—121no—
1749C4—121no—
1750C4—121no—
1751C4—121no—
1752C4—121no—
1753C4—121no—
1754C4—121no—
1755C4—121no—
1756C4—121no—
1757C4—121no—
1758C3#5900711yescharacteristic, complemented, Sylow
1759C2—24no—
1760C2—42no—
1761C2—42no—
1762C2—81no—
1763C2—122no—
1764C2—122no—
1765C2—241no—
1766C2#8679011yescharacteristic
1767C2#8679211yescharacteristic
1768C2#8681511yescharacteristic
1769C2#8681911yescharacteristic
1770C2C2×#582911yescharacteristic
1771C2#41×#6711yescharacteristic
1772C2#8728511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#551C2
hypercenterC2×#551D3
hypocenterC3#59007
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×#5656C2semidirect
3. #83116C2semidirect
4. #83110C2semidirect
5. #83106C2semidirect
6. #83106C2semidirect
7. #82997C2semidirect
8. #82975C2semidirect
9. #82909C2semidirect
10. #82905C2semidirect
11. #82850C2semidirect
12. #82846C2semidirect
13. #82838C2semidirect
14. #82830C2semidirect
15. #82769C2semidirect
16. #82762C2semidirect
17. #82756C2semidirect
18. #82582C2semidirect
19. #82581C2semidirect
20. #82413C2semidirect
21. #82404C2semidirect
22. #82342C2semidirect
23. #82330C2semidirect
24. #82281C2semidirect
25. #82267C2semidirect
26. #82255C2semidirect
27. #82244C2semidirect
28. #82127C2semidirect
29. C2×#4956C2semidirect
30. #82106C2semidirect
31. #82098C2semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#126C22semidirect
39. C2×C3×#124C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×#123C22semidirect
44. C2×C3×C22⋊Q8C22semidirect
47. C2×C3×C4×D4C22semidirect
49. C2×C3×#117C22semidirect
54. C2×#947C22semidirect
62. C2×#929C22semidirect
66. C2×#896C22semidirect
67. C2×#896C22semidirect
68. C2×#893C22semidirect
69. C2×#893C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×#67⋊C4C22semidirect
77. #5231C22semidirect
78. #5230C22semidirect
79. #5229C22semidirect
82. #5223C22semidirect
83. #5223C22semidirect
85. #5220C22semidirect
86. #5220C22semidirect
90. #5213C22semidirect
91. #5213C22semidirect
93. #5210C22semidirect
94. #5210C22semidirect
95. C4×#217C22semidirect
96. C4×#217C22semidirect
99. C2×C3⋊#95C22semidirect
100. #4993C22semidirect
101. #4993C22semidirect
102. #4992C22semidirect
103. #4992C22semidirect
104. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4988C22semidirect
110. #4987C22semidirect
111. #4987C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4985C22semidirect
116. #4985C22semidirect
117. #4984C22semidirect
118. #4983C22semidirect
119. #4982C22semidirect
120. #4982C22semidirect
121. #4980C22semidirect
122. #4980C22semidirect
123. #4978C22semidirect
124. #4978C22semidirect
125. Dic3×C4⋊C4C22semidirect
126. #4973C22semidirect
127. #4972C22semidirect
132. #4961C22semidirect
133. #4961C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
140. #4958C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
160. #4950C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4947C22semidirect
164. #4947C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4944C22semidirect
170. #4944C22semidirect
173. #4943C22semidirect
177. Dic3×C22⋊C4C22semidirect
178. #4940C22semidirect
179. #4940C22semidirect
180. #4940C22semidirect
181. #4940C22semidirect
182. C4×(C2×D3)⋊C4C22semidirect
183. C4×(C2×D3)⋊C4C22semidirect
184. C4×(C2×D3)⋊C4C22semidirect
185. C4×(C2×D3)⋊C4C22semidirect
186. C4×(C2×D3)⋊C4C22semidirect
187. #4933C22semidirect
188. #4933C22semidirect
189. #4929C22semidirect
190. C2×#551D3semidirect
269. C3×#123D4semidirect
427. C2×#126C2×D3semidirect
428. C2×#126C2×D3semidirect
430. C2×#124C2×D3semidirect
435. C2×#123C2×D3semidirect
436. C2×#123C2×D3semidirect
440. C2×C22⋊Q8C2×D3semidirect
457. C2×C4×D4C2×D3semidirect
461. C2×#117C2×D3semidirect
669. C2×#67#41semidirect
730. C3×C4⋊C4C2×D4semidirect
731. C3×C4⋊C4C2×D4semidirect
744. C3×C22⋊C4C2×D4semidirect
745. C3×C22⋊C4C2×D4semidirect
862. #123#67semidirect
1346. C4⋊C4C2×#67semidirect
1347. C4⋊C4C2×#67semidirect
1400. C22⋊C4C2×#67semidirect
1401. C22⋊C4C2×#67semidirect
1758. C3#59007semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5512
C2×#56562
#831162
#831102
#831062
#829972
#829752
#829092
#829052
#828502
#828462
#828382
#828302
#827692
#827622
#827562
#825822
#825812
#824132
#824042
#823422
#823302
#822812
#822672
#822552
#822442
#821272
C2×#49562
#821062
#820982
#590073