Finite Group Databasebeta

← #11235301

Subgroups — #11235301

Order 768.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#939C211yesmaximal, characteristic, complemented
2C2×#5621C211yesmaximal, characteristic, complemented
3C3×#2408C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82715C211yesmaximal, characteristic, complemented
6#82684C211yesmaximal, characteristic, complemented
7#82681C211yesmaximal, characteristic, complemented
8#82606C211yesmaximal, characteristic, complemented
9#82605C211yesmaximal, characteristic, complemented
10#82602C211yesmaximal, characteristic, complemented
11#82589C211yesmaximal, characteristic, complemented
12#82404C211yesmaximal, characteristic, complemented
13#82360C211yesmaximal, characteristic, complemented
14#77150C211yesmaximal, characteristic, complemented
15#77086C211yesmaximal, characteristic, complemented
16#77009C211yesmaximal, characteristic, complemented
17#77000C211yesmaximal, characteristic, complemented
18#76741C211yesmaximal, characteristic, complemented
19#76716C211yesmaximal, characteristic, complemented
20#76714C211yesmaximal, characteristic, complemented
21#76710C211yesmaximal, characteristic, complemented
22#76465C211yesmaximal, characteristic, complemented
23#76393C211yesmaximal, characteristic, complemented
24#76386C211yesmaximal, characteristic, complemented
25#76310C211yesmaximal, characteristic, complemented
26#73908C211yesmaximal, characteristic, complemented
27#73896C211yesmaximal, characteristic, complemented
28#73853C211yesmaximal, characteristic, complemented
29#73846C211yesmaximal, characteristic, complemented
30#73828C211yesmaximal, characteristic, complemented
31#73827C211yesmaximal, characteristic, complemented
32#45443—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C24×Dic3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×C4×D4C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#939—28no—
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#938C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic
58C2×#936C2211yescharacteristic, complemented
59C2×#935C2211yescharacteristic, complemented
60C2×#935C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic, complemented
62C2×#935C2211yescharacteristic, complemented
63C2×#929C2211yescharacteristic, complemented
64C22×(C2×D3)⋊C4C2211yescharacteristic
65C2×#924C2211yescharacteristic, complemented
66C22×Dic3⋊C4C2211yescharacteristic
67#5621—28no—
68C2×#896C2211yescharacteristic, complemented
69C2×#889C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#878C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×#878C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic, complemented
86C3×#380C2211yescharacteristic
87C3×#379C2211yescharacteristic
88C3×#379C2211yescharacteristic
89#5247C2211yescharacteristic
90#5247C2211yescharacteristic
91#5247C2211yescharacteristic
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5221C2211yescharacteristic, complemented
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4993C2211yescharacteristic, complemented
117#4992C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4953C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4950C2211yescharacteristic
151#4950C2211yescharacteristic, complemented
152#4950C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4946C2211yescharacteristic
162#4946C2211yescharacteristic
163#4946C2211yescharacteristic
164#4946C2211yescharacteristic, complemented
165#4946C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4946C2211yescharacteristic, complemented
168#4946C2211yescharacteristic, complemented
169#4945C2211yescharacteristic, complemented
170#4945C2211yescharacteristic, complemented
171#4943C2211yescharacteristic, complemented
172#4943C2211yescharacteristic, complemented
173#4942C2211yescharacteristic
174#4942C2211yescharacteristic, complemented
175#4942C2211yescharacteristic, complemented
176#4942C2211yescharacteristic, complemented
177Dic3×C22⋊C4C2211yescharacteristic
178#4940C2211yescharacteristic, complemented
179#4940C2211yescharacteristic, complemented
180#4933C2211yescharacteristic, complemented
181#4928C2211yescharacteristic, complemented
182#4676C2211yescharacteristic, complemented
183#4673C2211yescharacteristic, complemented
184#4668C2211yescharacteristic, complemented
185#4667C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#562—31no—
191C22×#121—31no—
192#2849—31no—
193#2848—31no—
194#2816—31no—
195#2813—31no—
196#2711—31no—
197#2708—31no—
198#2701—31no—
199#2686—31no—
200#2682—31no—
201#2681—31no—
202#2676—31no—
203#2676—31no—
204#2672—31no—
205#2671—31no—
206#2671—31no—
207#2671—31no—
208#2473—31no—
209#2472—31no—
210#2449—31no—
211#2437—31no—
212#2437—31no—
213#2435—31no—
214#2418—31no—
215#2410—31no—
216#2410—31no—
217#2408D311yescharacteristic, complemented
218#2405—31no—
219#2405—31no—
220#2377—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67—24no—
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67—42no—
243C22×#67—42no—
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C23×Dic3—24no—
255C23×Dic3—42no—
256C23×Dic3—42no—
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C3×#121—24no—
271C3×#121—42no—
272C3×#120—42no—
273C3×#120—42no—
274C3×C4×D4—42no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217—24no—
296C2×#217—42no—
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325#939—24no—
326#939—24no—
327#939—24no—
328#939—24no—
329#939—24no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—42no—
334#939D418yescomplemented
335#938—24no—
336#938—42no—
337#937—42no—
338#936—24no—
339#935—24no—
340#935—24no—
341#935—42no—
342#935—42no—
343#929—24no—
344C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367#924—24no—
368C2×Dic3⋊C4—24no—
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#896—24no—
392#889—24no—
393#885—24no—
394#885—42no—
395#883—24no—
396#883—42no—
397D3×C22⋊C4—42no—
398#878—24no—
399#878—24no—
400#878—42no—
401#878—42no—
402#878—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
429C23×D4—31no—
430C23×D4—31no—
431C23×D4C2×D311yescharacteristic
432C24×C4—31no—
433#562—68no—
434C2×#125—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—68no—
465C2×#121C2×D311yescharacteristic, complemented
466C2×#121C2×D311yescharacteristic, complemented
467C2×#120—31no—
468C2×#120C2×D311yescharacteristic
469C2×#120C2×D311yescharacteristic
470C2×C4×D4C2×D311yescharacteristic
471C22×C4⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476#400—31no—
477#399—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#398—31no—
482#398—31no—
483#398—31no—
484#398—31no—
485#397—31no—
486#397—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394C2×D311yescharacteristic, complemented
514#394C2×D311yescharacteristic, complemented
515#393—31no—
516#393—31no—
517#393—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392C2×D311yescharacteristic, complemented
523#392C2×D311yescharacteristic, complemented
524#390—31no—
525#390—31no—
526#390—31no—
527#390C2×D311yescharacteristic, complemented
528#390C2×D311yescharacteristic, complemented
529#389—31no—
530#389—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380C2×D311yescharacteristic
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379C2×D311yescharacteristic
584#379C2×D311yescharacteristic
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—416no—
642C2×C3×D4C2×D414yes—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—416no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—416no—
688C2×#67C2×D414yes—
689C2×#67C2×D414yes—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3—416no—
717C22×Dic3C2×D414yes—
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C2×C4×D3—22no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×Dic6—22no—
739C2×Dic6—22no—
740C2×Dic6—41no—
741C2×Dic6—41no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C3×C4⋊C4—22no—
745C3×C4⋊C4—41no—
746C3×C4⋊C4—41no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C22⋊C4—41no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C42—41no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217C2×D414yes—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4C2×D414yes—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—22no—
811C4⋊Dic3—41no—
812C4⋊Dic3—41no—
813C4⋊Dic3—41no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4—41no—
829Dic3⋊C4—41no—
830Dic3⋊C4—41no—
831Dic3⋊C4—41no—
832Dic3⋊C4—41no—
833Dic3⋊C4C2×D414yes—
834C4×Dic3—22no—
835C4×Dic3—41no—
836C25—31no—
837C25C22×D311yescharacteristic
838C25C22×D311yescharacteristic
839C22×Q8—31no—
840C22×Q8—31no—
841C22×D4—24no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—42no—
853C22×D4—42no—
854C22×D4—64no—
855C22×D4—64no—
856C22×D4—122no—
857C22×D4—122no—
858C22×D4—122no—
859C22×D4—122no—
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C22×D4C22×D311yescharacteristic
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C22×D4C22×D311yescharacteristic
867C22×D4C22×D311yescharacteristic
868C22×D4C22×D311yescharacteristic
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—64no—
881C23×C4—122no—
882C23×C4—122no—
883C23×C4C22×D311yescharacteristic
884C23×C4C22×D311yescharacteristic
885#125—64no—
886#124—64no—
887#124—64no—
888#124—122no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—122no—
894#123—122no—
895#123—122no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902C22⋊Q8—122no—
903#121—24no—
904#121—38no—
905#121—42no—
906#121—64no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—122no—
916#121—122no—
917#120—42no—
918#120—42no—
919#120—122no—
920C4×D4—42no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—64no—
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
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—64no—
996C2×C22⋊C4—64no—
997C2×C22⋊C4—122no—
998C2×C22⋊C4—122no—
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C42—31no—
1016C2×C42—31no—
1017C2×C42C22×D311yescharacteristic
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—28no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—44no—
1082C23×C3—44no—
1083C23×C3—44no—
1084C23×C3—44no—
1085C23×C3—44no—
1086C23×C3—44no—
1087C23×C3—44no—
1088C23×C3—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—82no—
1092C23×C3—82no—
1093C23×C3—82no—
1094C23×C3C22×D412yes—
1095C23×C3C22×D412yes—
1096C23×C3H(5,𝔽2)12yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C32−1+412yes—
1100C23×C3C2511yescharacteristic
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—44no—
1115C22×D3—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3C22×D412yes—
1122C3×D4—44no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
1126C3×D4—44no—
1127C3×D4—82no—
1128C3×D4—82no—
1129C3×D4—82no—
1130C3×D4—82no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—44no—
1158C2×C3×C4—82no—
1159C2×C3×C4C22×D412yes—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169#67—82no—
1170C2×Dic3—28no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—44no—
1210C2×Dic3—44no—
1211C2×Dic3—44no—
1212C2×Dic3—44no—
1213C2×Dic3—44no—
1214C2×Dic3—44no—
1215C2×Dic3—82no—
1216C2×Dic3—82no—
1217C2×Dic3C22×D412yes—
1218C2×Dic3C22×D412yes—
1219C2×Dic3C22×D412yes—
1220C2×Dic3H(5,𝔽2)12yes—
1221C4×D3—82no—
1222C4×D3—82no—
1223Dic6—82no—
1224Dic6—82no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—31no—
1235C24—31no—
1236C24—41no—
1237C24—41no—
1238C24—41no—
1239C24—41no—
1240C24—41no—
1241C24—62no—
1242C24—62no—
1243C24—62no—
1244C24—62no—
1245C24—121no—
1246C24—121no—
1247C24—121no—
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—62no—
1255C2×Q8—62no—
1256C2×Q8—121no—
1257C2×Q8—121no—
1258C2×Q8—121no—
1259C2×Q8—121no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—34no—
1272C2×D4—34no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—416no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—1216no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—1216no—
1319C2×D4D3×D414yes—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—34no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—1216no—
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—34no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—121no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C4⋊C4—121no—
1407C4⋊C4—121no—
1408C4⋊C4—121no—
1409C4⋊C4—121no—
1410C4⋊C4—121no—
1411C4⋊C4—121no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—34no—
1419C22⋊C4—34no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
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—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C42—41no—
1473C42—62no—
1474C42—121no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—22no—
1485C22×C3—22no—
1486C22×C3—22no—
1487C22×C3—22no—
1488C22×C3—22no—
1489C22×C3—22no—
1490C22×C3—416no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—88no—
1518C22×C3#56214yescomplemented
1519C22×C3C23×D411yescharacteristic
1520C22×C3C2×H(5,𝔽2)11yescharacteristic
1521C22×C3C2×H(5,𝔽2)11yescharacteristic
1522C22×C3C2×H(5,𝔽2)11yescharacteristic
1523C22×C3C2×H(5,𝔽2)11yescharacteristic
1524C22×C3C2×2−1+411yescharacteristic
1525C22×C3#58511yescharacteristic
1526C2×D3—22no—
1527C2×D3—22no—
1528C2×D3—22no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—88no—
1541C3×C4—22no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549C3×C4—41no—
1550Dic3—22no—
1551Dic3—22no—
1552Dic3—22no—
1553Dic3—22no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3—41no—
1561Dic3—41no—
1562Dic3—41no—
1563Dic3—41no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—28no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—32no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—82no—
1626C23—82no—
1627C23—82no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—124no—
1632C23—242no—
1633C23—242no—
1634C23—242no—
1635C23C2×D3×D412yes—
1636C23C2×D3×D412yes—
1637C23#100412yes—
1638C23#100412yes—
1639C23#100412yes—
1640C23#101012yes—
1641C23C24×D311yescharacteristic
1642Q8—242no—
1643Q8—242no—
1644D4—44no—
1645D4—44no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—82no—
1650D4—82no—
1651D4—82no—
1652D4—82no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—124no—
1660D4—124no—
1661D4—242no—
1662D4—242no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—44no—
1694C2×C4—68no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—82no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—124no—
1740C2×C4—242no—
1741C2×C4—242no—
1742C2×C4—242no—
1743C2×C4—242no—
1744C2×C4C2×D3×D412yes—
1745C2×C3—24no—
1746C2×C3—42no—
1747C2×C3—42no—
1748C2×C3—42no—
1749C2×C3—81no—
1750C2×C3—81no—
1751C2×C3#348411yescharacteristic
1752C2×C3#348411yescharacteristic
1753C2×C3#348911yescharacteristic
1754C2×C3C2×#56211yescharacteristic
1755C2×C3#353411yescharacteristic
1756C2×C3#353611yescharacteristic
1757C2×C3#354211yescharacteristic
1758D3—42no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—416no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—62no—
1803C22—62no—
1804C22—62no—
1805C22—88no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—248no—
1818C22#562114yescomplemented
1819C22C22×D3×D411yescharacteristic
1820C22C2×#100411yescharacteristic
1821C22C2×#100411yescharacteristic
1822C22C2×#100411yescharacteristic
1823C22C2×#101011yescharacteristic
1824C22D3×H(5,𝔽2)11yescharacteristic
1825C22#596611yescharacteristic
1826C4—22no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—62no—
1836C4—62no—
1837C4—62no—
1838C4—62no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C4—121no—
1849C3#4544311yescharacteristic, complemented, Sylow
1850C2—24no—
1851C2—42no—
1852C2—42no—
1853C2—42no—
1854C2—81no—
1855C2—81no—
1856C2—122no—
1857C2—241no—
1858C2#8591911yescharacteristic
1859C2C2×#562111yescharacteristic
1860C2#8632311yescharacteristic
1861C2#8661311yescharacteristic
1862C2#8662011yescharacteristic
1863C2#8663011yescharacteristic
1864C2#8664711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2408C2
hypercenter#2408D3
hypocenterC3#45443
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. C22×#939C2semidirect
2. C2×#5621C2semidirect
3. C3×#2408C2semidirect
4. #84047C2semidirect
5. #82715C2semidirect
6. #82684C2semidirect
7. #82681C2semidirect
8. #82606C2semidirect
9. #82605C2semidirect
10. #82602C2semidirect
11. #82589C2semidirect
12. #82404C2semidirect
13. #82360C2semidirect
14. #77150C2semidirect
15. #77086C2semidirect
16. #77009C2semidirect
17. #77000C2semidirect
18. #76741C2semidirect
19. #76716C2semidirect
20. #76714C2semidirect
21. #76710C2semidirect
22. #76465C2semidirect
23. #76393C2semidirect
24. #76386C2semidirect
25. #76310C2semidirect
26. #73908C2semidirect
27. #73896C2semidirect
28. #73853C2semidirect
29. #73846C2semidirect
30. #73828C2semidirect
31. #73827C2semidirect
37. C2×C3×#121C22semidirect
38. C2×C3×#121C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#938C22semidirect
56. C2×#938C22semidirect
58. C2×#936C22semidirect
59. C2×#935C22semidirect
60. C2×#935C22semidirect
61. C2×#935C22semidirect
62. C2×#935C22semidirect
63. C2×#929C22semidirect
65. C2×#924C22semidirect
68. C2×#896C22semidirect
69. C2×#889C22semidirect
70. C2×#885C22semidirect
71. C2×#885C22semidirect
72. C2×#883C22semidirect
73. C2×#883C22semidirect
77. C2×#878C22semidirect
78. C2×#878C22semidirect
79. C2×#878C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
82. C3×#392C22semidirect
83. C3×#392C22semidirect
84. C3×#390C22semidirect
85. C3×#390C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5221C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5213C22semidirect
113. #5210C22semidirect
114. #4994C22semidirect
115. #4993C22semidirect
116. #4993C22semidirect
117. #4992C22semidirect
118. #4989C22semidirect
119. #4983C22semidirect
120. #4982C22semidirect
121. #4981C22semidirect
122. #4979C22semidirect
123. #4978C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
148. #4953C22semidirect
151. #4950C22semidirect
152. #4950C22semidirect
153. #4950C22semidirect
154. #4949C22semidirect
155. #4949C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4948C22semidirect
159. #4947C22semidirect
160. #4947C22semidirect
164. #4946C22semidirect
165. #4946C22semidirect
166. #4946C22semidirect
167. #4946C22semidirect
168. #4946C22semidirect
169. #4945C22semidirect
170. #4945C22semidirect
171. #4943C22semidirect
172. #4943C22semidirect
174. #4942C22semidirect
175. #4942C22semidirect
176. #4942C22semidirect
178. #4940C22semidirect
179. #4940C22semidirect
180. #4933C22semidirect
181. #4928C22semidirect
182. #4676C22semidirect
183. #4673C22semidirect
184. #4668C22semidirect
185. #4667C22semidirect
186. #4658C22semidirect
187. #4657C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
217. #2408D3semidirect
334. #939D4semidirect
465. C2×#121C2×D3semidirect
466. C2×#121C2×D3semidirect
513. #394C2×D3semidirect
514. #394C2×D3semidirect
522. #392C2×D3semidirect
523. #392C2×D3semidirect
527. #390C2×D3semidirect
528. #390C2×D3semidirect
1518. C22×C3#562semidirect
1818. C22#5621semidirect
1849. C3#45443semidirect

Maximal subgroups

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

subgroupindex
C22×#9392
C2×#56212
C3×#24082
#840472
#827152
#826842
#826812
#826062
#826052
#826022
#825892
#824042
#823602
#771502
#770862
#770092
#770002
#767412
#767162
#767142
#767102
#764652
#763932
#763862
#763102
#739082
#738962
#738532
#738462
#738282
#738272
#454433