Finite Group Databasebeta

← #11098225

Subgroups — #11098225

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2620C211yesmaximal, characteristic, complemented
4#82981C211yesmaximal, characteristic, complemented
5#82826C211yesmaximal, characteristic, complemented
6#82816C211yesmaximal, characteristic, complemented
7#82715C211yesmaximal, characteristic, complemented
8#82702C211yesmaximal, characteristic, complemented
9#82259C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77424C211yesmaximal, characteristic, complemented
12#77423C211yesmaximal, characteristic, complemented
13#77421C211yesmaximal, characteristic, complemented
14#77417C211yesmaximal, characteristic, complemented
15#77368C211yesmaximal, characteristic, complemented
16#77354C211yesmaximal, characteristic, complemented
17#77285C211yesmaximal, characteristic, complemented
18#77119C211yesmaximal, characteristic, complemented
19#77113C211yesmaximal, characteristic, complemented
20D3×#394C211yesmaximal, characteristic, complemented
21#77022C211yesmaximal, characteristic, complemented
22#77006C211yesmaximal, characteristic, complemented
23#76974C211yesmaximal, characteristic, complemented
24#76898C211yesmaximal, characteristic, complemented
25#76895C211yesmaximal, characteristic, complemented
26#76652C211yesmaximal, characteristic, complemented
27#76627C211yesmaximal, characteristic, complemented
28#76437C211yesmaximal, characteristic, complemented
29#76378C211yesmaximal, characteristic, complemented
30#74374C211yesmaximal, characteristic, complemented
31#74360C211yesmaximal, characteristic, complemented
32#40514—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#124C2211yescharacteristic, complemented
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×#121C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic, complemented
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#929C2211yescharacteristic, complemented
46C22×(C2×D3)⋊C4C2211yescharacteristic
47#5678—28no—
48#5527—28no—
49C2×#898C2211yescharacteristic, complemented
50C2×#896C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#876C2211yescharacteristic, complemented
76C2×#876C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic
79C2×#872C2211yescharacteristic
80C3×#396C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#391C2211yescharacteristic, complemented
89C3×#390C2211yescharacteristic, complemented
90C3×#384C2211yescharacteristic, complemented
91#5231C2211yescharacteristic, complemented
92#5230C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic, complemented
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic, complemented
99#5213C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4993C2211yescharacteristic, complemented
110#4993C2211yescharacteristic, complemented
111#4991C2211yescharacteristic
112#4991C2211yescharacteristic
113#4991C2211yescharacteristic
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4989C2211yescharacteristic
119#4989C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4987C2211yescharacteristic
122#4987C2211yescharacteristic
123#4987C2211yescharacteristic, complemented
124#4987C2211yescharacteristic, complemented
125#4982C2211yescharacteristic, complemented
126#4981C2211yescharacteristic, complemented
127#4981C2211yescharacteristic, complemented
128#4981C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4972C2211yescharacteristic, complemented
132#4972C2211yescharacteristic, complemented
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4961C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic, complemented
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4956C2211yescharacteristic
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4955C2211yescharacteristic
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic
157#4951C2211yescharacteristic, complemented
158#4950C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172C4×C4⋊Dic3C2211yescharacteristic, complemented
173#4933C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4672C2211yescharacteristic
177#4671C2211yescharacteristic
178#4669C2211yescharacteristic, complemented
179#4668C2211yescharacteristic
180#4667C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic
184D3×#95C2211yescharacteristic
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2727—31no—
195#2712—31no—
196#2705—31no—
197#2702—31no—
198#2681—31no—
199#2676—31no—
200#2672—31no—
201#2671—31no—
202#2662—31no—
203#2630—31no—
204#2626—31no—
205#2620D311yescharacteristic, complemented
206#2618—31no—
207#2601—31no—
208#2534—31no—
209#2534—31no—
210#2438—31no—
211#2437—31no—
212#2425—31no—
213#2424—31no—
214#2417—31no—
215#2416—31no—
216#2411—31no—
217#2410—31no—
218#2408—31no—
219C2×#394—31no—
220D4×C4⋊C4—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×D3×D4—42no—
239C2×D3×D4—42no—
240C2×D3×D4—42no—
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#124—24no—
255C3×C22⋊Q8—42no—
256C3×#121—42no—
257C3×#117—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296#947—24no—
297#946—24no—
298#939—24no—
299#939—42no—
300#938—42no—
301#937—24no—
302#937—42no—
303#929—24no—
304C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#898—24no—
367#896—24no—
368#894—24no—
369#894—24no—
370#893—42no—
371#893—42no—
372D3×C4⋊C4—42no—
373D3×C4⋊C4—42no—
374#886—24no—
375#884—24no—
376#884—24no—
377#884—42no—
378#884—42no—
379#883—24no—
380#883—42no—
381#882—24no—
382#882—24no—
383#67⋊C4—24no—
384#67⋊C4—24no—
385D3×C22⋊C4—24no—
386D3×C22⋊C4—24no—
387D3×C22⋊C4—42no—
388D3×C22⋊C4—42no—
389#879—24no—
390#878—24no—
391#878—42no—
392#876—24no—
393#876—24no—
394#875—24no—
395C4×D12D418yescomplemented
396#872—24no—
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—
424#551—68no—
425#538—68no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124C2×D311yescharacteristic, complemented
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117C2×D311yescharacteristic, complemented
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—
470#400—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396C2×D311yescharacteristic, complemented
493#396C2×D311yescharacteristic, complemented
494#396C2×D311yescharacteristic, complemented
495#396C2×D311yescharacteristic, complemented
496#395—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#394—31no—
514#394C2×D311yescharacteristic
515#394C2×D311yescharacteristic
516#394C2×D311yescharacteristic, complemented
517#394C2×D311yescharacteristic, complemented
518#393—31no—
519#393—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#391—31no—
527#391C2×D311yescharacteristic, complemented
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390C2×D311yescharacteristic, complemented
533#389—31no—
534#389—31no—
535#389—31no—
536#389—31no—
537#389—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—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#384C2×D311yescharacteristic, complemented
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C4⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—41no—
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670D3×D4—416no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12C2×D414yes—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3C2×D414yes—
706C2×C4×D3C2×D414yescomplemented
707C2×Dic6—22no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C42—22no—
735C3×C42C2×D414yescomplemented
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
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—41no—
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)⋊C4C2×D414yes—
779(C2×D3)⋊C4C2×D414yescomplemented
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3C2×D414yescomplemented
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C25—31no—
810C25—31no—
811C22×Q8—31no—
812C22×Q8C22×D311yescharacteristic
813C22×D4—31no—
814C22×D4—31no—
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—122no—
826C22×D4—122no—
827C22×D4—122no—
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
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×C4C22×D311yescharacteristic
842#126—64no—
843#126—64no—
844#126—64no—
845#126—64no—
846#124—24no—
847#124—64no—
848#124—64no—
849#123—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—122no—
855C22⋊Q8—42no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—122no—
860#121—42no—
861#121—64no—
862#121—64no—
863#121—64no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—64no—
869#120—64no—
870#120—64no—
871#120—122no—
872C4×D4—38no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—122no—
876C4×D4—122no—
877#117—24no—
878#117—64no—
879C2×C4⋊C4—31no—
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—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—122no—
905C2×C4⋊C4—122no—
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
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—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—64no—
961C2×C22⋊C4—64no—
962C2×C22⋊C4—64no—
963C2×C22⋊C4—122no—
964C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42C22×D311yescharacteristic
984C2×C42C22×D311yescharacteristic
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3H(5,𝔽2)12yes—
1032C23×C3C2511yescharacteristic
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—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—44no—
1058C22×D3—44no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3—82no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3H(5,𝔽2)12yes—
1074C22×D32−1+412yes—
1075C3×Q8—82no—
1076C3×D4—44no—
1077C3×D4—82no—
1078C3×D4—82no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—44no—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4C22×D412yes—
1116#67—44no—
1117#67—44no—
1118#67—44no—
1119#67—44no—
1120#67—82no—
1121#67—82no—
1122#67—82no—
1123#67—82no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—82no—
1158C2×Dic3—82no—
1159C2×Dic3C22×D412yes—
1160C2×Dic3C22×D412yes—
1161C2×Dic3H(5,𝔽2)12yes—
1162D12—28no—
1163D12—44no—
1164D12—82no—
1165D12—82no—
1166C4×D3—44no—
1167C4×D3—44no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—82no—
1171C4×D3—82no—
1172C4×D3—82no—
1173C4×D3—82no—
1174Dic6—82no—
1175C24—31no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—62no—
1180C24—62no—
1181C24—62no—
1182C24—62no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—121no—
1187C24—121no—
1188C24—121no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24C23×D311yescharacteristic
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—62no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—34no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—1216no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—34no—
1254C22×C4—34no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—41no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—34no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—34no—
1349C22⋊C4—34no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C42—22no—
1399C42—62no—
1400C42—62no—
1401C42—121no—
1402C42—121no—
1403C42D3×D414yescomplemented
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3C23×D411yescharacteristic
1426C22×C3C2×H(5,𝔽2)11yescharacteristic
1427C22×C3C2×H(5,𝔽2)11yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×2−1+411yescharacteristic
1430C22×C3#58511yescharacteristic
1431C22×C3#58511yescharacteristic
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—88no—
1460C2×D3—88no—
1461C2×D3#53714yes—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474Dic3—22no—
1475Dic3—22no—
1476Dic3—22no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—32no—
1507C23—32no—
1508C23—32no—
1509C23—32no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
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—124no—
1535C23—124no—
1536C23—124no—
1537C23—124no—
1538C23—124no—
1539C23—124no—
1540C23—124no—
1541C23—242no—
1542C23—242no—
1543C23—242no—
1544C23—242no—
1545C23—242no—
1546C23—242no—
1547C23—242no—
1548C23#100412yes—
1549C23C24×D311yescharacteristic
1550Q8—82no—
1551Q8—242no—
1552D4—44no—
1553D4—68no—
1554D4—82no—
1555D4—82no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—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—32no—
1601C2×C4—32no—
1602C2×C4—32no—
1603C2×C4—44no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—242no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4—242no—
1647C2×C4C2×D3×D412yes—
1648C2×C4C2×D3×D412yes—
1649C2×C4C2×D3×D412yes—
1650C2×C3—42no—
1651C2×C3—81no—
1652C2×C3—81no—
1653C2×C3C2×#53711yescharacteristic
1654C2×C3#348811yescharacteristic
1655C2×C3#349611yescharacteristic
1656C2×C3#353211yescharacteristic
1657C2×C3#353311yescharacteristic
1658C2×C3#353511yescharacteristic
1659C2×C3#356111yescharacteristic
1660D3—24no—
1661D3—42no—
1662D3—81no—
1663D3—81no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—34no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—248no—
1714C22—248no—
1715C22C22×D3×D411yescharacteristic
1716C22C2×#100411yescharacteristic
1717C22#596411yescharacteristic
1718C22D3×H(5,𝔽2)11yescharacteristic
1719C22D3×H(5,𝔽2)11yescharacteristic
1720C22D3×2−1+411yescharacteristic
1721C22#596811yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—62no—
1735C4—62no—
1736C4—62no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4051411yescharacteristic, complemented, Sylow
1747C2—42no—
1748C2—64no—
1749C2—81no—
1750C2—81no—
1751C2—122no—
1752C2—241no—
1753C2—241no—
1754C2#8594911yescharacteristic
1755C2#8633311yescharacteristic
1756C2#8635811yescharacteristic
1757C2D3×#53711yescharacteristic
1758C2#8638211yescharacteristic
1759C2#8654011yescharacteristic
1760C2#8655911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2620C2
hypercenter#2620D3
hypocenterC3#40514
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2620

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5527C2semidirect
3. C3×#2620C2semidirect
4. #82981C2semidirect
5. #82826C2semidirect
6. #82816C2semidirect
7. #82715C2semidirect
8. #82702C2semidirect
9. #82259C2semidirect
10. #77448C2semidirect
11. #77424C2semidirect
12. #77423C2semidirect
13. #77421C2semidirect
14. #77417C2semidirect
15. #77368C2semidirect
16. #77354C2semidirect
17. #77285C2semidirect
18. #77119C2semidirect
19. #77113C2semidirect
20. D3×#394C2semidirect
21. #77022C2semidirect
22. #77006C2semidirect
23. #76974C2semidirect
24. #76898C2semidirect
25. #76895C2semidirect
26. #76652C2semidirect
27. #76627C2semidirect
28. #76437C2semidirect
29. #76378C2semidirect
30. #74374C2semidirect
31. #74360C2semidirect
34. C2×C3×#124C22semidirect
35. C2×C3×C22⋊Q8C22semidirect
37. C2×C3×#117C22semidirect
38. C2×#947C22semidirect
41. C2×#939C22semidirect
42. C2×#938C22semidirect
45. C2×#929C22semidirect
49. C2×#898C22semidirect
52. C2×#894C22semidirect
56. C2×D3×C4⋊C4C22semidirect
57. C2×#886C22semidirect
61. C2×#884C22semidirect
63. C2×#883C22semidirect
67. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C2×#876C22semidirect
76. C2×#876C22semidirect
77. C2×#875C22semidirect
80. C3×#396C22semidirect
81. C3×#396C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#391C22semidirect
89. C3×#390C22semidirect
90. C3×#384C22semidirect
91. #5231C22semidirect
92. #5230C22semidirect
96. #5222C22semidirect
98. #5220C22semidirect
100. #5210C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4994C22semidirect
109. #4993C22semidirect
110. #4993C22semidirect
114. #4991C22semidirect
115. #4990C22semidirect
119. #4989C22semidirect
120. #4989C22semidirect
123. #4987C22semidirect
124. #4987C22semidirect
125. #4982C22semidirect
126. #4981C22semidirect
127. #4981C22semidirect
128. #4981C22semidirect
129. #4976C22semidirect
130. #4976C22semidirect
131. #4972C22semidirect
132. #4972C22semidirect
135. #4961C22semidirect
136. #4961C22semidirect
138. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4958C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
157. #4951C22semidirect
158. #4950C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4947C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4942C22semidirect
170. #4942C22semidirect
171. #4940C22semidirect
172. C4×C4⋊Dic3C22semidirect
173. #4933C22semidirect
174. #4675C22semidirect
175. #4673C22semidirect
178. #4669C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4655C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
205. #2620D3semidirect
395. C4×D12D4semidirect
432. C2×#124C2×D3semidirect
443. C2×C22⋊Q8C2×D3semidirect
462. C2×#117C2×D3semidirect
492. #396C2×D3semidirect
493. #396C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
516. #394C2×D3semidirect
517. #394C2×D3semidirect
527. #391C2×D3semidirect
532. #390C2×D3semidirect
566. #384C2×D3semidirect
706. C2×C4×D3C2×D4semidirect
735. C3×C42C2×D4semidirect
779. (C2×D3)⋊C4C2×D4semidirect
786. C4⋊Dic3C2×D4semidirect
1403. C42D3×D4semidirect
1746. C3#40514semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#55272
C3×#26202
#829812
#828262
#828162
#827152
#827022
#822592
#774482
#774242
#774232
#774212
#774172
#773682
#773542
#772852
#771192
#771132
D3×#3942
#770222
#770062
#769742
#768982
#768952
#766522
#766272
#764372
#763782
#743742
#743602
#405143