Finite Group Databasebeta

← #11633265

Subgroups — #11633265

Order 768.

2870 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×#5637C211yesmaximal, characteristic, complemented
3C3×#2488C211yesmaximal, characteristic, complemented
4#82895C211yesmaximal, characteristic, complemented
5#82816C211yesmaximal, characteristic, complemented
6#78238C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#78144C211yesmaximal, characteristic, complemented
9#78138C211yesmaximal, characteristic, complemented
10#77668C211yesmaximal, characteristic, complemented
11#77473C211yesmaximal, characteristic, complemented
12#76826C211yesmaximal, characteristic, complemented
13#76790C211yesmaximal, characteristic, complemented
14#76621C211yesmaximal, characteristic, complemented
15#76539C211yesmaximal, characteristic, complemented
16#75845C211yesmaximal, characteristic, complemented
17#75836C211yesmaximal, characteristic, complemented
18#75686C211yesmaximal, characteristic, complemented
19#75595C211yesmaximal, characteristic, complemented
20#74889C211yesmaximal, characteristic, complemented
21#74884C211yesmaximal, characteristic
22#74878C211yesmaximal, characteristic, complemented
23#74741C211yesmaximal, characteristic, complemented
24#74229C211yesmaximal, characteristic, complemented
25#74198C211yesmaximal, characteristic, complemented
26#74131C211yesmaximal, characteristic, complemented
27#74050C211yesmaximal, characteristic, complemented
28C22⋊C4×D12C211yesmaximal, characteristic, complemented
29#73464C211yesmaximal, characteristic, complemented
30#73375C211yesmaximal, characteristic, complemented
31C2×#4665C211yesmaximal, characteristic, complemented
32#59011—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic, complemented
40C2×#946C2211yescharacteristic, complemented
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
48D3×#123—28no—
49#5637—28no—
50C2×#898C2211yescharacteristic, complemented
51C2×#898C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#894C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic, complemented
57C2×#892C2211yescharacteristic, complemented
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic
61C2×#883C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic, complemented
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic, complemented
73C2×#877C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C3×#400C2211yescharacteristic, complemented
77C3×#400C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#393C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#382C2211yescharacteristic, complemented
86C3×#381C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88C2×C3×#95C2211yescharacteristic, complemented
89#5231C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5213C2211yescharacteristic
92#5212C2211yescharacteristic, complemented
93#5211C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95C2×C3⋊#95C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4961C2211yescharacteristic, complemented
107#4961C2211yescharacteristic, complemented
108#4960C2211yescharacteristic
109#4960C2211yescharacteristic
110#4959C2211yescharacteristic, complemented
111#4959C2211yescharacteristic, complemented
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4957C2211yescharacteristic, complemented
115#4957C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4956C2211yescharacteristic, complemented
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic, complemented
121#4955C2211yescharacteristic, complemented
122#4952C2211yescharacteristic, complemented
123#4951C2211yescharacteristic, complemented
124#4950C2211yescharacteristic, complemented
125#4949C2211yescharacteristic, complemented
126#4945C2211yescharacteristic, complemented
127#4942C2211yescharacteristic, complemented
128#4940C2211yescharacteristic, complemented
129#4939C2211yescharacteristic, complemented
130#4939C2211yescharacteristic, complemented
131C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
132C4×C4⋊Dic3C2211yescharacteristic, complemented
133#4928C2211yescharacteristic, complemented
134#4676C2211yescharacteristic, complemented
135#4676C2211yescharacteristic, complemented
136#4676C2211yescharacteristic, complemented
137#4676C2211yescharacteristic, complemented
138#4675C2211yescharacteristic, complemented
139#4674C2211yescharacteristic, complemented
140#4672C2211yescharacteristic, complemented
141#4672C2211yescharacteristic, complemented
142#4671C2211yescharacteristic
143#4671C2211yescharacteristic
144#4670C2211yescharacteristic, complemented
145#4669C2211yescharacteristic, complemented
146#4669C2211yescharacteristic, complemented
147#4669C2211yescharacteristic, complemented
148#4669C2211yescharacteristic, complemented
149#4668C2211yescharacteristic, complemented
150#4668C2211yescharacteristic, complemented
151#4667C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4667C2211yescharacteristic, complemented
154#4667C2211yescharacteristic, complemented
155#4667C2211yescharacteristic, complemented
156#4666C2211yescharacteristic, complemented
157#4666C2211yescharacteristic, complemented
158#4666C2211yescharacteristic, complemented
159#4666C2211yescharacteristic, complemented
160#4666C2211yescharacteristic, complemented
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#123—31no—
192#2706—31no—
193#2705—31no—
194#2696—31no—
195#2693—31no—
196#2557—31no—
197#2554—31no—
198#2534—31no—
199#2498—31no—
200#2488D311yescharacteristic, complemented
201#2481—31no—
202#2481—31no—
203#2472—31no—
204#2471—31no—
205#2457—31no—
206#2437—31no—
207#2419—31no—
208#2418—31no—
209#2417—31no—
210#2412—31no—
211#2412—31no—
212#2411—31no—
213#2403—31no—
214#2359—31no—
215#2358—31no—
216#2352—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219C2×#386—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C2×D3×D4—24no—
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C22×D12—24no—
239C22×D12—24no—
240C22×D12—42no—
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3—24no—
249C22×C4×D3—24no—
250C22×C4×D3—42no—
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×#123—24no—
263C3×C22⋊Q8—24no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#947—24no—
288#946—24no—
289#946—42no—
290#937—42no—
291#935—24no—
292#929—24no—
293C4×#67—24no—
294C2×(C2×D3)⋊C4—24no—
295C2×(C2×D3)⋊C4—42no—
296C2×(C2×D3)⋊C4—42no—
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#898—24no—
364#898—24no—
365#894—24no—
366#894—24no—
367#894—24no—
368#894—24no—
369#893—24no—
370#892—24no—
371D3×C4⋊C4—24no—
372D3×C4⋊C4—24no—
373#886D418yescomplemented
374#883—24no—
375#883—24no—
376#882—24no—
377#882—24no—
378#882—42no—
379#67⋊C4—42no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—42no—
385#877—24no—
386#877—42no—
387C4×D12—24no—
388C4×D12—42no—
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
423C23×D4—31no—
424C23×D4—31no—
425C24×C4—31no—
426#551—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—68no—
440C2×#123C2×D311yescharacteristic
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×#117—31no—
454C2×#117—31no—
455C2×#117—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#400—31no—
468#400C2×D311yescharacteristic, complemented
469#400C2×D311yescharacteristic, complemented
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic, complemented
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#393—31no—
493#393C2×D311yescharacteristic, complemented
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391C2×D311yescharacteristic, complemented
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388C2×D311yescharacteristic, complemented
515#388C2×D311yescharacteristic, complemented
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—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#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382C2×D311yescharacteristic, complemented
553#381—31no—
554#381—31no—
555#381C2×D311yescharacteristic, complemented
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570C4×C4⋊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—
577C4×C22⋊C4C2×D311yescharacteristic, complemented
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3#4114yes—
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×Q8—22no—
609C2×C3×Q8—41no—
610C2×C3×Q8—41no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—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×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67C2×D414yes—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3C2×D414yes—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665D3×D4—416no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—416no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12#4114yes—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—416no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4C2×D414yes—
736C3×C42—22no—
737C3×C42—41no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—41no—
744#217—41no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4C2×D414yescomplemented
784(C2×D3)⋊C4C2×D414yescomplemented
785C4⋊Dic3—22no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3C2×D414yescomplemented
790C4⋊Dic3C2×D414yescomplemented
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25—31no—
813C25—31no—
814C22×Q8C22×D311yescharacteristic
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
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—64no—
827C22×D4—64no—
828C22×D4—64no—
829C22×D4—64no—
830C22×D4—122no—
831C22×D4—122no—
832C22×D4C22×D311yescharacteristic
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
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
852#126—64no—
853#126—64no—
854#124—64no—
855#123—24no—
856#123—38no—
857#123—64no—
858#123—64no—
859#123—64no—
860#123—64no—
861#123—64no—
862#123—64no—
863#123—64no—
864#123—64no—
865C22⋊Q8—24no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868#120—64no—
869#120—64no—
870#120—122no—
871#120—122no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—122no—
876C4×D4—122no—
877#117—64no—
878#117—64no—
879#117—122no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
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—64no—
901C2×C4⋊C4—64no—
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—64no—
958C2×C22⋊C4—64no—
959C2×C22⋊C4—122no—
960C2×C22⋊C4—122no—
961C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
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#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
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×C3C22×D412yes—
1025C23×C3C2×#4112yes—
1026C23×C3H(5,𝔽2)12yes—
1027C23×C3C2511yescharacteristic
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—28no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—28no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3—82no—
1075C22×D3—82no—
1076C22×D3—82no—
1077C22×D3—82no—
1078C22×D3C22×D412yes—
1079C22×D3C2×#4112yes—
1080C22×D3C2×#4112yes—
1081C22×D3C2×#4112yes—
1082C22×D3C2×#4112yes—
1083C22×D3H(5,𝔽2)12yes—
1084C3×Q8—82no—
1085C3×D4—44no—
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—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—44no—
1123C2×C3×C4—44no—
1124C2×C3×C4—82no—
1125C2×C3×C4C22×D412yes—
1126C2×C3×C4C22×D412yes—
1127C2×C3×C4C2×#4112yes—
1128#67—28no—
1129#67—44no—
1130#67—82no—
1131#67—82no—
1132C2×Dic3—28no—
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—82no—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3C22×D412yes—
1167D12—28no—
1168D12—44no—
1169D12—44no—
1170D12—44no—
1171D12—44no—
1172D12—44no—
1173D12—82no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—44no—
1181C4×D3—44no—
1182C4×D3—82no—
1183C4×D3—82no—
1184C4×D3—82no—
1185C24—31no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—34no—
1190C24—31no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—62no—
1200C24—62no—
1201C24—62no—
1202C24—62no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24C23×D311yescharacteristic
1212C24C23×D311yescharacteristic
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—34no—
1220C2×D4—34no—
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—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—1216no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—1216no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—34no—
1261C22×C4—31no—
1262C22×C4—31no—
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—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—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—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—1216no—
1312C22×C4—121no—
1313C22×C4—121no—
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
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—34no—
1333C4⋊C4—34no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—34no—
1358C22⋊C4—34no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
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—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
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⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4D3×D414yes—
1408C42—22no—
1409C42—41no—
1410C42—62no—
1411C42—62no—
1412C42—62no—
1413C42—121no—
1414C42—121no—
1415C42—121no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3#54614yes—
1430C22×C3C23×D411yescharacteristic
1431C22×C3C22×#4111yescharacteristic
1432C22×C3C22×#4111yescharacteristic
1433C22×C3C2×H(5,𝔽2)11yescharacteristic
1434C22×C3C2×H(5,𝔽2)11yescharacteristic
1435C22×C3#58511yescharacteristic
1436C22×C3#58511yescharacteristic
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—416no—
1453C2×D3—41no—
1454C2×D3—41no—
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—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—88no—
1473C2×D3—88no—
1474C2×D3#55114yescomplemented
1475C3×C4—22no—
1476C3×C4—22no—
1477C3×C4—22no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—22no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—32no—
1511C23—32no—
1512C23—32no—
1513C23—32no—
1514C23—32no—
1515C23—32no—
1516C23—68no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—68no—
1522C23—61no—
1523C23—61no—
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—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—124no—
1558C23—124no—
1559C23—124no—
1560C23—242no—
1561C23—242no—
1562C23—242no—
1563C23—242no—
1564C23—242no—
1565C23—242no—
1566C23C2×D3×D412yes—
1567C23D3×#4112yes—
1568C23#100912yes—
1569C23C24×D311yescharacteristic
1570Q8—82no—
1571D4—44no—
1572D4—68no—
1573D4—68no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—242no—
1581D4—242no—
1582D4—242no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
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—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—32no—
1620C2×C4—32no—
1621C2×C4—32no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—68no—
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—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—82no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—124no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4C2×D3×D412yes—
1669C2×C4C2×D3×D412yes—
1670C2×C4D3×#4112yes—
1671C2×C3—24no—
1672C2×C3—81no—
1673C2×C3C2×#54611yescharacteristic
1674C2×C3D4×#4111yescharacteristic
1675C2×C3C2×#55111yescharacteristic
1676C2×C3#348811yescharacteristic
1677C2×C3#349111yescharacteristic
1678C2×C3#351311yescharacteristic
1679C2×C3#353411yescharacteristic
1680D3—24no—
1681D3—42no—
1682D3—42no—
1683D3—42no—
1684D3—81no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—34no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—1216no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—248no—
1735C22—248no—
1736C22#567614yes—
1737C22C22×D3×D411yescharacteristic
1738C22C2×D3×#4111yescharacteristic
1739C22C2×D3×#4111yescharacteristic
1740C22C2×#100911yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22#596811yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—62no—
1758C4—62no—
1759C4—62no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5901111yescharacteristic, complemented, Sylow
1769C2—24no—
1770C2—64no—
1771C2—81no—
1772C2—122no—
1773C2—122no—
1774C2—122no—
1775C2—241no—
1776C2C2×#567611yescharacteristic
1777C2#8616111yescharacteristic
1778C2#8645811yescharacteristic
1779C2#8662911yescharacteristic
1780C2#8667411yescharacteristic
1781C2D3×#55111yescharacteristic
1782C2#8685911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2488C2
prime radical#74884C2
hypercenter#2488D3
hypocenterC3#59011
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×#5637C2semidirect
3. C3×#2488C2semidirect
4. #82895C2semidirect
5. #82816C2semidirect
6. #78238C2semidirect
7. #78144C2semidirect
8. #78144C2semidirect
9. #78138C2semidirect
10. #77668C2semidirect
11. #77473C2semidirect
12. #76826C2semidirect
13. #76790C2semidirect
14. #76621C2semidirect
15. #76539C2semidirect
16. #75845C2semidirect
17. #75836C2semidirect
18. #75686C2semidirect
19. #75595C2semidirect
20. #74889C2semidirect
22. #74878C2semidirect
23. #74741C2semidirect
24. #74229C2semidirect
25. #74198C2semidirect
26. #74131C2semidirect
27. #74050C2semidirect
28. C22⋊C4×D12C2semidirect
29. #73464C2semidirect
30. #73375C2semidirect
31. C2×#4665C2semidirect
37. C2×C3×C22⋊Q8C22semidirect
38. C2×#947C22semidirect
39. C2×#946C22semidirect
40. C2×#946C22semidirect
46. C22×(C2×D3)⋊C4C22semidirect
47. C22×(C2×D3)⋊C4C22semidirect
50. C2×#898C22semidirect
51. C2×#898C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
55. C2×#894C22semidirect
56. C2×#893C22semidirect
57. C2×#892C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×D3×C4⋊C4C22semidirect
61. C2×#883C22semidirect
62. C2×#883C22semidirect
68. C2×D3×C22⋊C4C22semidirect
69. C2×D3×C22⋊C4C22semidirect
70. C2×D3×C22⋊C4C22semidirect
71. C2×D3×C22⋊C4C22semidirect
72. C2×#877C22semidirect
73. C2×#877C22semidirect
76. C3×#400C22semidirect
77. C3×#400C22semidirect
78. C3×#397C22semidirect
79. C3×#393C22semidirect
80. C3×#391C22semidirect
81. C3×#388C22semidirect
82. C3×#388C22semidirect
85. C3×#382C22semidirect
86. C3×#381C22semidirect
87. C3×C4×C22⋊C4C22semidirect
88. C2×C3×#95C22semidirect
89. #5231C22semidirect
92. #5212C22semidirect
93. #5211C22semidirect
94. #5210C22semidirect
95. C2×C3⋊#95C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4993C22semidirect
99. #4992C22semidirect
100. #4992C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4987C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4961C22semidirect
107. #4961C22semidirect
110. #4959C22semidirect
111. #4959C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
114. #4957C22semidirect
115. #4957C22semidirect
116. #4956C22semidirect
117. #4956C22semidirect
120. #4955C22semidirect
121. #4955C22semidirect
122. #4952C22semidirect
123. #4951C22semidirect
124. #4950C22semidirect
125. #4949C22semidirect
126. #4945C22semidirect
127. #4942C22semidirect
128. #4940C22semidirect
129. #4939C22semidirect
130. #4939C22semidirect
131. C4×(C2×D3)⋊C4C22semidirect
132. C4×C4⋊Dic3C22semidirect
133. #4928C22semidirect
134. #4676C22semidirect
135. #4676C22semidirect
136. #4676C22semidirect
137. #4676C22semidirect
138. #4675C22semidirect
139. #4674C22semidirect
140. #4672C22semidirect
141. #4672C22semidirect
144. #4670C22semidirect
145. #4669C22semidirect
146. #4669C22semidirect
147. #4669C22semidirect
148. #4669C22semidirect
149. #4668C22semidirect
150. #4668C22semidirect
151. #4667C22semidirect
152. #4667C22semidirect
153. #4667C22semidirect
154. #4667C22semidirect
155. #4667C22semidirect
156. #4666C22semidirect
157. #4666C22semidirect
158. #4666C22semidirect
159. #4666C22semidirect
160. #4666C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4664C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4652C22semidirect
189. #4652C22semidirect
200. #2488D3semidirect
373. #886D4semidirect
443. C2×C22⋊Q8C2×D3semidirect
468. #400C2×D3semidirect
469. #400C2×D3semidirect
479. #397C2×D3semidirect
493. #393C2×D3semidirect
498. #391C2×D3semidirect
514. #388C2×D3semidirect
515. #388C2×D3semidirect
552. #382C2×D3semidirect
555. #381C2×D3semidirect
577. C4×C22⋊C4C2×D3semidirect
579. C2×#95C2×D3semidirect
783. (C2×D3)⋊C4C2×D4semidirect
784. (C2×D3)⋊C4C2×D4semidirect
789. C4⋊Dic3C2×D4semidirect
790. C4⋊Dic3C2×D4semidirect
1474. C2×D3#551semidirect
1768. C3#59011semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#56372
C3×#24882
#828952
#828162
#782382
#781442
#781382
#776682
#774732
#768262
#767902
#766212
#765392
#758452
#758362
#756862
#755952
#748892
#748842
#748782
#747412
#742292
#741982
#741312
#740502
C22⋊C4×D122
#734642
#733752
C2×#46652
#590113