Finite Group Databasebeta

← D3×#2703 #11430269

Subgroups — D3×#2703 #11430269

Order 768.

3542 conjugacy classes of subgroups.

The subgroup lattice has 1978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2703C211yesmaximal, characteristic, complemented
4#82909C211yesmaximal, characteristic, complemented
5#82693C211yesmaximal, characteristic, complemented
6D3×#400C211yesmaximal, characteristic, complemented
7#78241C211yesmaximal, characteristic, complemented
8#77699C211yesmaximal, characteristic, complemented
9D3×#397C211yesmaximal, characteristic, complemented
10#77149C211yesmaximal, characteristic, complemented
11D3×#394C211yesmaximal, characteristic, complemented
12D3×#392C211yesmaximal, characteristic, complemented
13D3×#392C211yesmaximal, characteristic, complemented
14D3×#392C211yesmaximal, characteristic, complemented
15#76723C211yesmaximal, characteristic, complemented
16#76722C211yesmaximal, characteristic, complemented
17#76721C211yesmaximal, characteristic, complemented
18D3×#390C211yesmaximal, characteristic, complemented
19#76387C211yesmaximal, characteristic, complemented
20#75927C211yesmaximal, characteristic, complemented
21D3×#388C211yesmaximal, characteristic, complemented
22D3×#388C211yesmaximal, characteristic, complemented
23#75683C211yesmaximal, characteristic, complemented
24D3×#386C211yesmaximal, characteristic, complemented
25D3×#386C211yesmaximal, characteristic, complemented
26D3×#386C211yesmaximal, characteristic, complemented
27#74815C211yesmaximal, characteristic, complemented
28#74814C211yesmaximal, characteristic, complemented
29#74813C211yesmaximal, characteristic, complemented
30D3×#380C211yesmaximal, characteristic, complemented
31#73966C211yesmaximal, characteristic, complemented
32C2×#2703—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C22×D3×D4C2211yescharacteristic
38C22×D3×D4C2211yescharacteristic
39C23×C4×D3C2211yescharacteristic
40C23×C4×D3C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic, complemented
45C2×#938C2211yescharacteristic, complemented
46C2×#935C2211yescharacteristic, complemented
47C2×#930C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49D3×#123—28no—
50D3×#121—28no—
51C2×#895C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#886C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic, complemented
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic, complemented
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×C42×D3C2211yescharacteristic
78C3×#400C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5212C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4986C2211yescharacteristic, complemented
117#4985C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4953C2211yescharacteristic, complemented
145#4952C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4942C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156#4940C2211yescharacteristic, complemented
157#4939C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic
183D3×#95C2211yescharacteristic
184D3×#95C2211yescharacteristic
185#4660C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4659C2211yescharacteristic, complemented
188#4658C2211yescharacteristic, complemented
189#4658C2211yescharacteristic, complemented
190C22×#123—31no—
191C22×#121—31no—
192#2703—31no—
193#2703—31no—
194#2703—31no—
195#2703—31no—
196#2703—31no—
197#2703—31no—
198#2703—31no—
199#2703—31no—
200#2703—31no—
201#2703—31no—
202#2703—31no—
203#2703—31no—
204#2703—31no—
205#2703—31no—
206#2703—31no—
207#2703D311yescharacteristic, direct product factor
208C2×#400—31no—
209C2×#397—31no—
210C2×#394—31no—
211C2×#392—31no—
212C2×#392—31no—
213C2×#392—31no—
214C2×#390—31no—
215C2×#388—31no—
216C2×#388—31no—
217C2×#386—31no—
218C2×#386—31no—
219C2×#386—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—24no—
253C2×D3×D4—24no—
254C2×D3×D4—24no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C2×D3×D4—42no—
259C2×D3×D4—42no—
260C2×D3×D4—42no—
261C2×D3×D4—42no—
262C2×D3×D4—42no—
263C2×D3×D4—42no—
264C2×D3×D4—42no—
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×C4×D3—24no—
272C22×C4×D3—24no—
273C22×C4×D3—24no—
274C22×C4×D3—42no—
275C22×C4×D3—42no—
276C22×C4×D3—42no—
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×C4×D3C2311yescharacteristic
287C22×C4×D3C2311yescharacteristic
288C22×C4×D3C2311yescharacteristic
289C22×C4×D3C2311yescharacteristic
290C22×C4×D3C2311yescharacteristic
291C22×C4×D3C2311yescharacteristic
292C3×#123—24no—
293C3×#121—24no—
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C4⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C42C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327#939—24no—
328#939—24no—
329#938—24no—
330#935—24no—
331#930—24no—
332#929—24no—
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×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#895—24no—
377#894—24no—
378#894—24no—
379D3×C4⋊C4—24no—
380D3×C4⋊C4—24no—
381D3×C4⋊C4—24no—
382D3×C4⋊C4—42no—
383#886—24no—
384#884—24no—
385#884—24no—
386#883—24no—
387#883—24no—
388D3×C22⋊C4—24no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394D3×C22⋊C4—42no—
395D3×C22⋊C4—42no—
396D3×C22⋊C4—42no—
397D3×C22⋊C4—42no—
398D3×C22⋊C4—42no—
399D3×C22⋊C4—42no—
400D3×C22⋊C4—42no—
401D3×C22⋊C4D418yescomplemented
402C42×D3—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C23×D4—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C23×D4—31no—
440C23×D4—31no—
441C24×C4—31no—
442C24×C4—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—68no—
451C2×#123C2×D311yescharacteristic, complemented
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—68no—
460C2×#121C2×D311yescharacteristic, complemented
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C42—31no—
480#400—31no—
481#400—31no—
482#400—31no—
483#400—31no—
484#400—31no—
485#400—31no—
486#400—31no—
487#400C2×D311yescharacteristic, complemented
488#397—31no—
489#397—31no—
490#397—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397C2×D311yescharacteristic, complemented
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394C2×D311yescharacteristic, complemented
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—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#392—31no—
525#392C2×D311yescharacteristic, complemented
526#392C2×D311yescharacteristic, complemented
527#392C2×D311yescharacteristic, complemented
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390C2×D311yescharacteristic, complemented
536#388—31no—
537#388—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#388C2×D311yescharacteristic, complemented
551#388C2×D311yescharacteristic, complemented
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386C2×D311yescharacteristic, complemented
574#386C2×D311yescharacteristic, complemented
575#386C2×D311yescharacteristic, complemented
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#380—31no—
582#380—31no—
583#380C2×D311yescharacteristic, complemented
584C2×#95—31no—
585C2×#95—31no—
586C2×#95—31no—
587C2×#95—31no—
588C2×#95—31no—
589C2×#95—31no—
590C2×#95—31no—
591C2×#95—31no—
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3C2×D414yes—
623C23×D3#4114yes—
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717D3×D4—416no—
718D3×D4—416no—
719D3×D4—416no—
720D3×D4—416no—
721D3×D4—416no—
722D3×D4—416no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—22no—
759C2×C4×D3—22no—
760C2×C4×D3—22no—
761C2×C4×D3—22no—
762C2×C4×D3—22no—
763C2×C4×D3—22no—
764C2×C4×D3—22no—
765C2×C4×D3—22no—
766C2×C4×D3—22no—
767C2×C4×D3—22no—
768C2×C4×D3—22no—
769C2×C4×D3—22no—
770C2×C4×D3—22no—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—22no—
774C2×C4×D3—22no—
775C2×C4×D3—22no—
776C2×C4×D3—22no—
777C2×C4×D3—416no—
778C2×C4×D3—41no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3—416no—
785C2×C4×D3C2×D414yes—
786C2×C4×D3C2×D414yes—
787C2×C4×D3#4114yes—
788C3×C4⋊C4—22no—
789C3×C4⋊C4—22no—
790C3×C4⋊C4—22no—
791C3×C4⋊C4—41no—
792C3×C22⋊C4—22no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—41no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4C2×D414yescomplemented
806C3×C42—41no—
807#217—22no—
808#217—22no—
809#217—22no—
810#217—22no—
811#217—41no—
812#217—41no—
813#217—41no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820#217C2×D414yescomplemented
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4C2×D414yescomplemented
848(C2×D3)⋊C4C2×D414yescomplemented
849C4⋊Dic3—22no—
850C4⋊Dic3—22no—
851C4⋊Dic3—22no—
852C4⋊Dic3—41no—
853Dic3⋊C4—22no—
854Dic3⋊C4—22no—
855Dic3⋊C4—22no—
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—41no—
860Dic3⋊C4—41no—
861C4×Dic3—41no—
862C4×Dic3—41no—
863C4×Dic3—41no—
864C25—31no—
865C25—31no—
866C25—31no—
867C25—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—64no—
887C22×D4—64no—
888C22×D4—64no—
889C22×D4—64no—
890C22×D4—64no—
891C22×D4—64no—
892C22×D4—64no—
893C22×D4—64no—
894C22×D4—122no—
895C22×D4—122no—
896C22×D4—122no—
897C22×D4—122no—
898C22×D4—122no—
899C22×D4—122no—
900C22×D4—122no—
901C22×D4—122no—
902C22×D4—122no—
903C22×D4—122no—
904C22×D4C22×D311yescharacteristic
905C22×D4C22×D311yescharacteristic
906C22×D4C22×D311yescharacteristic
907C22×D4C22×D311yescharacteristic
908C22×D4C22×D311yescharacteristic
909C22×D4C22×D311yescharacteristic
910C23×C4—31no—
911C23×C4—31no—
912C23×C4—31no—
913C23×C4—31no—
914C23×C4—31no—
915C23×C4—31no—
916C23×C4—31no—
917C23×C4—31no—
918C23×C4—31no—
919C23×C4—31no—
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—64no—
928C23×C4—64no—
929C23×C4—64no—
930C23×C4—122no—
931C23×C4—122no—
932C23×C4—122no—
933C23×C4C22×D311yescharacteristic
934C23×C4C22×D311yescharacteristic
935#123—24no—
936#123—64no—
937#123—64no—
938#123—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—64no—
943#121—24no—
944#121—64no—
945#121—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—64no—
964C2×C4⋊C4—64no—
965C2×C4⋊C4—64no—
966C2×C4⋊C4—122no—
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C4⋊C4C22×D311yescharacteristic
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—38no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4—122no—
1020C2×C22⋊C4—122no—
1021C2×C22⋊C4—122no—
1022C2×C22⋊C4—122no—
1023C2×C22⋊C4—122no—
1024C2×C22⋊C4—122no—
1025C2×C22⋊C4—122no—
1026C2×C22⋊C4—122no—
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—122no—
1045C2×C42C22×D311yescharacteristic
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074#95C22×D311yescharacteristic
1075#95C22×D311yescharacteristic
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3C22×D412yes—
1105C23×C3C2×#4112yes—
1106C23×C3C2511yescharacteristic
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—28no—
1120C22×D3—28no—
1121C22×D3—28no—
1122C22×D3—28no—
1123C22×D3—28no—
1124C22×D3—28no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3—44no—
1148C22×D3—44no—
1149C22×D3—44no—
1150C22×D3—44no—
1151C22×D3—44no—
1152C22×D3—44no—
1153C22×D3—44no—
1154C22×D3—44no—
1155C22×D3—44no—
1156C22×D3—44no—
1157C22×D3—44no—
1158C22×D3—44no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3C22×D412yes—
1162C22×D3C22×D412yes—
1163C22×D3C2×#4112yes—
1164C22×D3C2×#4112yes—
1165C22×D3C2×#4112yes—
1166C22×D3H(5,𝔽2)12yes—
1167C22×D3H(5,𝔽2)12yes—
1168C22×D3H(5,𝔽2)12yes—
1169C22×D3H(5,𝔽2)12yes—
1170C3×D4—44no—
1171C3×D4—44no—
1172C3×D4—44no—
1173C3×D4—44no—
1174C3×D4—44no—
1175C3×D4—44no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—44no—
1207C2×C3×C4—44no—
1208C2×C3×C4C22×D412yes—
1209C2×C3×C4C22×D412yes—
1210C2×C3×C4C2×#4112yes—
1211#67—44no—
1212#67—44no—
1213#67—44no—
1214#67—44no—
1215#67—44no—
1216#67—44no—
1217#67—44no—
1218#67—44no—
1219#67—44no—
1220#67—44no—
1221#67—44no—
1222#67—44no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—44no—
1254C2×Dic3—44no—
1255C2×Dic3C22×D412yes—
1256C2×Dic3C22×D412yes—
1257C2×Dic3C2×#4112yes—
1258D12—44no—
1259D12—44no—
1260D12—44no—
1261D12—44no—
1262D12—44no—
1263D12—44no—
1264C4×D3—28no—
1265C4×D3—28no—
1266C4×D3—28no—
1267C4×D3—44no—
1268C4×D3—44no—
1269C4×D3—44no—
1270C4×D3—44no—
1271C4×D3—44no—
1272C4×D3—44no—
1273C4×D3—44no—
1274C4×D3—44no—
1275C4×D3—44no—
1276C4×D3—44no—
1277C4×D3—44no—
1278C4×D3—44no—
1279C24—31no—
1280C24—34no—
1281C24—34no—
1282C24—31no—
1283C24—31no—
1284C24—31no—
1285C24—31no—
1286C24—62no—
1287C24—62no—
1288C24—62no—
1289C24—62no—
1290C24—62no—
1291C24—62no—
1292C24—62no—
1293C24—62no—
1294C24—62no—
1295C24—62no—
1296C24—62no—
1297C24—62no—
1298C24—62no—
1299C24—62no—
1300C24—62no—
1301C24—62no—
1302C24—62no—
1303C24—62no—
1304C24—62no—
1305C24—62no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24C23×D311yescharacteristic
1313C24C23×D311yescharacteristic
1314C24C23×D311yescharacteristic
1315C24C23×D311yescharacteristic
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—1216no—
1369C2×D4—1216no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—1216no—
1391C2×D4—1216no—
1392C2×D4—1216no—
1393C2×D4—1216no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—31no—
1400C22×C4—34no—
1401C22×C4—34no—
1402C22×C4—34no—
1403C22×C4—31no—
1404C22×C4—31no—
1405C22×C4—31no—
1406C22×C4—31no—
1407C22×C4—31no—
1408C22×C4—31no—
1409C22×C4—31no—
1410C22×C4—31no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—62no—
1418C22×C4—62no—
1419C22×C4—62no—
1420C22×C4—62no—
1421C22×C4—62no—
1422C22×C4—62no—
1423C22×C4—62no—
1424C22×C4—62no—
1425C22×C4—62no—
1426C22×C4—62no—
1427C22×C4—62no—
1428C22×C4—62no—
1429C22×C4—62no—
1430C22×C4—62no—
1431C22×C4—62no—
1432C22×C4—62no—
1433C22×C4—62no—
1434C22×C4—62no—
1435C22×C4—62no—
1436C22×C4—62no—
1437C22×C4—62no—
1438C22×C4—62no—
1439C22×C4—62no—
1440C22×C4—62no—
1441C22×C4—62no—
1442C22×C4—62no—
1443C22×C4—62no—
1444C22×C4—62no—
1445C22×C4—62no—
1446C22×C4—62no—
1447C22×C4—62no—
1448C22×C4—62no—
1449C22×C4—62no—
1450C22×C4—62no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4—121no—
1458C22×C4—121no—
1459C22×C4—1216no—
1460C22×C4—1216no—
1461C22×C4—121no—
1462C22×C4—121no—
1463C22×C4—121no—
1464C22×C4C23×D311yescharacteristic
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C22×C4C23×D311yescharacteristic
1469C22×C4C23×D311yescharacteristic
1470C22×C4C23×D311yescharacteristic
1471C22×C4C23×D311yescharacteristic
1472C22×C4C23×D311yescharacteristic
1473C22×C4C23×D311yescharacteristic
1474C22×C4C23×D311yescharacteristic
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—41no—
1479C4⋊C4—62no—
1480C4⋊C4—62no—
1481C4⋊C4—62no—
1482C4⋊C4—62no—
1483C4⋊C4—62no—
1484C4⋊C4—62no—
1485C4⋊C4—62no—
1486C4⋊C4—62no—
1487C4⋊C4—62no—
1488C4⋊C4—121no—
1489C4⋊C4—121no—
1490C4⋊C4—121no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—34no—
1496C22⋊C4—34no—
1497C22⋊C4—34no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—62no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—121no—
1520C22⋊C4—121no—
1521C22⋊C4—121no—
1522C22⋊C4—121no—
1523C22⋊C4—121no—
1524C22⋊C4—121no—
1525C22⋊C4—121no—
1526C22⋊C4—121no—
1527C22⋊C4—121no—
1528C22⋊C4—121no—
1529C22⋊C4—121no—
1530C22⋊C4—121no—
1531C22⋊C4—121no—
1532C22⋊C4—121no—
1533C22⋊C4—121no—
1534C22⋊C4—121no—
1535C22⋊C4—121no—
1536C22⋊C4—121no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4D3×D414yescomplemented
1547C42—41no—
1548C42—121no—
1549C42—121no—
1550C42—121no—
1551C22×C3—22no—
1552C22×C3—22no—
1553C22×C3—22no—
1554C22×C3—22no—
1555C22×C3—22no—
1556C22×C3—22no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3—41no—
1564C22×C3—41no—
1565C22×C3—41no—
1566C22×C3—41no—
1567C22×C3—41no—
1568C22×C3—41no—
1569C22×C3—41no—
1570C22×C3—41no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—41no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3C23×D411yescharacteristic
1580C22×C3C22×#4111yescharacteristic
1581C22×C3C22×#4111yescharacteristic
1582C22×C3C2×H(5,𝔽2)11yescharacteristic
1583C22×C3C2×H(5,𝔽2)11yescharacteristic
1584C22×C3C2×H(5,𝔽2)11yescharacteristic
1585C22×C3C2×H(5,𝔽2)11yescharacteristic
1586C2×D3—22no—
1587C2×D3—22no—
1588C2×D3—22no—
1589C2×D3—22no—
1590C2×D3—22no—
1591C2×D3—22no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—41no—
1598C2×D3—41no—
1599C2×D3—41no—
1600C2×D3—416no—
1601C2×D3—416no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—41no—
1605C2×D3—41no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—88no—
1617C2×D3—88no—
1618C2×D3#53514yes—
1619C2×D3#53814yes—
1620C2×D3#54014yes—
1621C2×D3#54614yes—
1622C2×D3#54614yes—
1623C2×D3#55314yes—
1624C2×D3#56014yes—
1625C3×C4—22no—
1626C3×C4—22no—
1627C3×C4—22no—
1628C3×C4—41no—
1629C3×C4—41no—
1630C3×C4—41no—
1631C3×C4—41no—
1632C3×C4—41no—
1633C3×C4—41no—
1634C3×C4—41no—
1635C3×C4—41no—
1636Dic3—22no—
1637Dic3—22no—
1638Dic3—22no—
1639Dic3—41no—
1640Dic3—41no—
1641Dic3—41no—
1642Dic3—41no—
1643Dic3—41no—
1644Dic3—41no—
1645Dic3—41no—
1646Dic3—41no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—32no—
1674C23—32no—
1675C23—32no—
1676C23—32no—
1677C23—32no—
1678C23—32no—
1679C23—32no—
1680C23—32no—
1681C23—32no—
1682C23—68no—
1683C23—68no—
1684C23—68no—
1685C23—68no—
1686C23—68no—
1687C23—68no—
1688C23—61no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—124no—
1715C23—124no—
1716C23—124no—
1717C23—124no—
1718C23—124no—
1719C23—124no—
1720C23—124no—
1721C23—124no—
1722C23—124no—
1723C23—124no—
1724C23—124no—
1725C23—124no—
1726C23—124no—
1727C23—124no—
1728C23—124no—
1729C23—124no—
1730C23—124no—
1731C23—124no—
1732C23—124no—
1733C23—124no—
1734C23—124no—
1735C23—124no—
1736C23C2×D3×D412yes—
1737C23D3×#4112yes—
1738C23C24×D311yescharacteristic
1739D4—44no—
1740D4—44no—
1741D4—44no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—124no—
1746D4—124no—
1747D4—124no—
1748D4—124no—
1749D4—124no—
1750D4—124no—
1751D4—124no—
1752D4—124no—
1753D4—124no—
1754D4—124no—
1755D4—124no—
1756D4—124no—
1757D4—124no—
1758D4—124no—
1759D4—124no—
1760D4—124no—
1761D4—124no—
1762D4—124no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—32no—
1794C2×C4—32no—
1795C2×C4—32no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—68no—
1799C2×C4—68no—
1800C2×C4—68no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—61no—
1812C2×C4—61no—
1813C2×C4—61no—
1814C2×C4—61no—
1815C2×C4—61no—
1816C2×C4—61no—
1817C2×C4—61no—
1818C2×C4—61no—
1819C2×C4—61no—
1820C2×C4—61no—
1821C2×C4—61no—
1822C2×C4—61no—
1823C2×C4—61no—
1824C2×C4—61no—
1825C2×C4—61no—
1826C2×C4—61no—
1827C2×C4—61no—
1828C2×C4—61no—
1829C2×C4—61no—
1830C2×C4—61no—
1831C2×C4—124no—
1832C2×C4—124no—
1833C2×C4—124no—
1834C2×C4—124no—
1835C2×C4—124no—
1836C2×C4—124no—
1837C2×C4—124no—
1838C2×C4—124no—
1839C2×C4—124no—
1840C2×C4—124no—
1841C2×C4—124no—
1842C2×C4—124no—
1843C2×C4—124no—
1844C2×C4—124no—
1845C2×C4C2×D3×D412yes—
1846C2×C4C2×D3×D412yes—
1847C2×C4D3×#4112yes—
1848C2×C3—42no—
1849C2×C3—42no—
1850C2×C3—81no—
1851C2×C3—81no—
1852C2×C3C2×#53511yescharacteristic
1853C2×C3C2×#53811yescharacteristic
1854C2×C3C2×#54011yescharacteristic
1855C2×C3C2×#54611yescharacteristic
1856C2×C3C2×#54611yescharacteristic
1857C2×C3C2×#55311yescharacteristic
1858C2×C3C2×#56011yescharacteristic
1859D3—42no—
1860D3—42no—
1861D3—81no—
1862D3—81no—
1863D3#270318yesdirect product factor
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—34no—
1871C22—34no—
1872C22—34no—
1873C22—34no—
1874C22—34no—
1875C22—34no—
1876C22—34no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—62no—
1900C22—62no—
1901C22—62no—
1902C22—62no—
1903C22—62no—
1904C22—62no—
1905C22—1216no—
1906C22—1216no—
1907C22—121no—
1908C22—121no—
1909C22—121no—
1910C22—121no—
1911C22—121no—
1912C22—121no—
1913C22—121no—
1914C22—121no—
1915C22—121no—
1916C22—121no—
1917C22—121no—
1918C22—121no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—248no—
1930C22—248no—
1931C22C22×D3×D411yescharacteristic
1932C22C2×D3×#4111yescharacteristic
1933C22C2×D3×#4111yescharacteristic
1934C22D3×H(5,𝔽2)11yescharacteristic
1935C22D3×H(5,𝔽2)11yescharacteristic
1936C22D3×H(5,𝔽2)11yescharacteristic
1937C22D3×H(5,𝔽2)11yescharacteristic
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—62no—
1950C4—62no—
1951C4—62no—
1952C4—121no—
1953C4—121no—
1954C4—121no—
1955C4—121no—
1956C4—121no—
1957C4—121no—
1958C4—121no—
1959C4—121no—
1960C3C2×#270311yescharacteristic, complemented, Sylow
1961C2—38no—
1962C2—42no—
1963C2—42no—
1964C2—81no—
1965C2—81no—
1966C2—122no—
1967C2—122no—
1968C2—241no—
1969C2—241no—
1970C2D3×#53511yescharacteristic
1971C2D3×#53811yescharacteristic
1972C2D3×#54011yescharacteristic
1973C2D3×#54611yescharacteristic
1974C2D3×#54611yescharacteristic
1975C2D3×#55311yescharacteristic
1976C2D3×#56011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2703C2
hypercenter#2703D3
hypocenterC3C2×#2703
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2703C2semidirect
4. #82909C2semidirect
5. #82693C2semidirect
6. D3×#400C2semidirect
7. #78241C2semidirect
8. #77699C2semidirect
9. D3×#397C2semidirect
10. #77149C2semidirect
11. D3×#394C2semidirect
12. D3×#392C2semidirect
13. D3×#392C2semidirect
14. D3×#392C2semidirect
15. #76723C2semidirect
16. #76722C2semidirect
17. #76721C2semidirect
18. D3×#390C2semidirect
19. #76387C2semidirect
20. #75927C2semidirect
21. D3×#388C2semidirect
22. D3×#388C2semidirect
23. #75683C2semidirect
24. D3×#386C2semidirect
25. D3×#386C2semidirect
26. D3×#386C2semidirect
27. #74815C2semidirect
28. #74814C2semidirect
29. #74813C2semidirect
30. D3×#380C2semidirect
31. #73966C2semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×#121C22semidirect
43. C2×#939C22semidirect
44. C2×#939C22semidirect
45. C2×#938C22semidirect
46. C2×#935C22semidirect
47. C2×#930C22semidirect
48. C2×#929C22semidirect
51. C2×#895C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
58. C2×#886C22semidirect
59. C2×#884C22semidirect
60. C2×#884C22semidirect
61. C2×#883C22semidirect
62. C2×#883C22semidirect
78. C3×#400C22semidirect
79. C3×#397C22semidirect
80. C3×#394C22semidirect
81. C3×#392C22semidirect
82. C3×#392C22semidirect
83. C3×#392C22semidirect
84. C3×#390C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#380C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5222C22semidirect
101. #5221C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5212C22semidirect
109. #4992C22semidirect
110. #4991C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4988C22semidirect
114. #4987C22semidirect
115. #4987C22semidirect
116. #4986C22semidirect
117. #4985C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4953C22semidirect
145. #4952C22semidirect
146. #4952C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4944C22semidirect
152. #4944C22semidirect
153. #4942C22semidirect
154. #4942C22semidirect
155. #4940C22semidirect
156. #4940C22semidirect
157. #4939C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4672C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4669C22semidirect
168. #4669C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
185. #4660C22semidirect
186. #4660C22semidirect
187. #4659C22semidirect
188. #4658C22semidirect
189. #4658C22semidirect
207. #2703D3direct (N × H)
401. D3×C22⋊C4D4semidirect
451. C2×#123C2×D3semidirect
460. C2×#121C2×D3semidirect
487. #400C2×D3semidirect
495. #397C2×D3semidirect
503. #394C2×D3semidirect
525. #392C2×D3semidirect
526. #392C2×D3semidirect
527. #392C2×D3semidirect
535. #390C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
573. #386C2×D3semidirect
574. #386C2×D3semidirect
575. #386C2×D3semidirect
583. #380C2×D3semidirect
805. C3×C22⋊C4C2×D4semidirect
820. #217C2×D4semidirect
847. (C2×D3)⋊C4C2×D4semidirect
848. (C2×D3)⋊C4C2×D4semidirect
1546. C22⋊C4D3×D4semidirect
1863. D3#2703direct (N × H)
1960. C3C2×#2703semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×D3×#1212
C3×#27032
#829092
#826932
D3×#4002
#782412
#776992
D3×#3972
#771492
D3×#3942
D3×#3922
#767232
#767222
#767212
D3×#3902
#763872
#759272
D3×#3882
#756832
D3×#3862
#748152
#748142
#748132
D3×#3802
#739662
C2×#27033