Finite Group Databasebeta

← #11025316

Subgroups — #11025316

Order 768.

2774 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5663C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2443C211yesmaximal, characteristic, complemented
4#82849C211yesmaximal, characteristic, complemented
5#82653C211yesmaximal, characteristic, complemented
6#82642C211yesmaximal, characteristic, complemented
7#82407C211yesmaximal, characteristic, complemented
8C4×#937C211yesmaximal, characteristic, complemented
9#82161C211yesmaximal, characteristic, complemented
10#78113C211yesmaximal, characteristic, complemented
11#78066C211yesmaximal, characteristic, complemented
12#77979C211yesmaximal, characteristic, complemented
13#77854C211yesmaximal, characteristic, complemented
14#77699C211yesmaximal, characteristic, complemented
15#77581C211yesmaximal, characteristic, complemented
16#77152C211yesmaximal, characteristic, complemented
17#77133C211yesmaximal, characteristic, complemented
18#75910C211yesmaximal, characteristic, complemented
19#75852C211yesmaximal, characteristic, complemented
20#75332C211yesmaximal, characteristic, complemented
21#75302C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74893C211yesmaximal, characteristic, complemented
24#74893C211yesmaximal, characteristic, complemented
25#74891C211yesmaximal, characteristic, complemented
26#74890C211yesmaximal, characteristic, complemented
27#74879C211yesmaximal, characteristic, complemented
28#74622C211yesmaximal, characteristic, complemented
29#74601C211yesmaximal, characteristic, complemented
30#74440C211yesmaximal, characteristic, complemented
31#74432C211yesmaximal, characteristic, complemented
32#37714—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic
49C2×#930C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic, complemented
52C2×C4×#67C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×Dic3⋊C4C2211yescharacteristic
57#5663—28no—
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#894—28no—
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#894C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#894C2211yescharacteristic
67C2×#894C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#892C2211yescharacteristic, complemented
70C2×#889C2211yescharacteristic, complemented
71C2×#886C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic
81C3×#399C2211yescharacteristic, complemented
82C3×#398C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#385C2211yescharacteristic
91C3×#385C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5212C2211yescharacteristic
98C4×#217C2211yescharacteristic
99C4×#217C2211yescharacteristic
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic
110#4988C2211yescharacteristic
111#4987C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4977C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119Dic3×C4⋊C4C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic
148#4950C2211yescharacteristic
149#4948C2211yescharacteristic, complemented
150#4946C2211yescharacteristic
151#4946C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4939C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4676C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4674C2211yescharacteristic, complemented
163#4674C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4671C2211yescharacteristic
167#4671C2211yescharacteristic
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#123—31no—
192#2847—31no—
193#2709—31no—
194#2707—31no—
195#2706—31no—
196#2706—31no—
197#2703—31no—
198#2701—31no—
199#2673—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2473—31no—
204#2471—31no—
205#2464—31no—
206#2457—31no—
207#2445—31no—
208#2443D311yescharacteristic, complemented
209#2433—31no—
210#2424—31no—
211#2424—31no—
212#2424—31no—
213#2418—31no—
214#2416—31no—
215#2412—31no—
216#2410—31no—
217#2358—31no—
218#2352—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C22×D12—24no—
245C22×D12—42no—
246C22×D12—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×C4×D3—24no—
256C22×C4×D3—42no—
257C22×C4×D3—42no—
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C3×#123—24no—
266C3×#121—42no—
267C3×C4×D4—42no—
268C2×C3×C4⋊C4—24no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C22⋊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×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#940—24no—
298#940—42no—
299#939—24no—
300#939—42no—
301#939—42no—
302#937—24no—
303#937—24no—
304#937—42no—
305#937—42no—
306D4×Dic3—42no—
307#930—24no—
308C4×#67—24no—
309C4×#67—24no—
310C4×#67—42no—
311C2×(C2×D3)⋊C4—24no—
312C2×(C2×D3)⋊C4—24no—
313C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4—24no—
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#895—24no—
377#895—42no—
378#894—24no—
379#894—24no—
380#894—24no—
381#894—24no—
382#894—24no—
383#894—24no—
384#894—24no—
385#894D418yescomplemented
386#892—24no—
387#889—24no—
388#886—24no—
389#884—24no—
390#884—24no—
391#884—24no—
392#884—42no—
393#883—24no—
394#882—42no—
395#882—42no—
396#67⋊C4—24no—
397D3×C22⋊C4—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C24×C4—31no—
428#540—68no—
429C2×#127—31no—
430C2×#127—31no—
431C2×#125—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—68no—
443C2×#123C2×D311yescharacteristic, complemented
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4C2×D311yescharacteristic
467C2×#117—31no—
468C22×C4⋊C4—31no—
469C22×C4⋊C4C2×D311yescharacteristic
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#399—31no—
476#399C2×D311yescharacteristic, complemented
477#398—31no—
478#398—31no—
479#398—31no—
480#398C2×D311yescharacteristic, complemented
481#397—31no—
482#397—31no—
483#397—31no—
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#394—31no—
491#394—31no—
492#394—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#394C2×D311yescharacteristic, complemented
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388C2×D311yescharacteristic, complemented
533#387—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic, complemented
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#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#386C2×D311yescharacteristic
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385C2×D311yescharacteristic
567#385C2×D311yescharacteristic, complemented
568#382—31no—
569#381—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
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—22no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
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—22no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
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
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—416no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12C2×D414yes—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—416no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3C2×D414yes—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4—41no—
745C3×C4⋊C4C2×D414yes—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C42—41no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217#4114yes—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4C2×D414yes—
801(C2×D3)⋊C4C2×D414yes—
802(C2×D3)⋊C4C2×D414yes—
803C4⋊Dic3—22no—
804C4⋊Dic3—22no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4C2×D414yes—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C25—31no—
828C25—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—122no—
850C22×D4—122no—
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—64no—
865C23×C4—122no—
866C23×C4—122no—
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871#127—64no—
872#127—122no—
873#125—64no—
874#123—24no—
875#123—38no—
876#123—64no—
877#123—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#121—42no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#121—122no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—42no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—64no—
906C4×D4—122no—
907C4×D4—122no—
908#117—64no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
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—64no—
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
983C2×C22⋊C4—64no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4—122no—
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42C22×D311yescharacteristic
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3C2×#4112yes—
1051C23×C3H(5,𝔽2)12yes—
1052C23×C3H(5,𝔽2)12yes—
1053C23×C3C2511yescharacteristic
1054C22×D3—28no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3C22×D412yes—
1101C22×D3C22×D412yes—
1102C22×D3H(5,𝔽2)12yes—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—82no—
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—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
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—44no—
1140C2×C3×C4—44no—
1141C2×C3×C4—44no—
1142C2×C3×C4—82no—
1143C2×C3×C4C22×D412yes—
1144C2×C3×C4C22×D412yes—
1145C2×C3×C4C22×D412yes—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
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—44no—
1187C2×Dic3—44no—
1188C2×Dic3—82no—
1189C2×Dic3C22×D412yes—
1190C2×Dic3C22×D412yes—
1191C2×Dic3C2×#4112yes—
1192C2×Dic3C2×#4112yes—
1193D12—44no—
1194D12—44no—
1195D12—44no—
1196D12—44no—
1197D12—82no—
1198D12—82no—
1199D12—82no—
1200D12—82no—
1201C4×D3—44no—
1202C4×D3—44no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—82no—
1207C4×D3—82no—
1208C24—31no—
1209C24—31no—
1210C24—31no—
1211C24—31no—
1212C24—31no—
1213C24—62no—
1214C24—62no—
1215C24—62no—
1216C24—62no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—121no—
1223C24—121no—
1224C24—121no—
1225C24—121no—
1226C24—121no—
1227C24C23×D311yescharacteristic
1228C24C23×D311yescharacteristic
1229C24C23×D311yescharacteristic
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—34no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—1216no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—34no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—1216no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—34no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4D3×D414yes—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—34no—
1395C22⋊C4—34no—
1396C22⋊C4—34no—
1397C22⋊C4—34no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C42—41no—
1446C42—62no—
1447C42—62no—
1448C42—62no—
1449C42—121no—
1450C42—121no—
1451C42—121no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3#54014yescomplemented
1473C22×C3C23×D411yescharacteristic
1474C22×C3C22×#4111yescharacteristic
1475C22×C3C2×H(5,𝔽2)11yescharacteristic
1476C22×C3C2×H(5,𝔽2)11yescharacteristic
1477C22×C3C2×H(5,𝔽2)11yescharacteristic
1478C22×C3#58511yescharacteristic
1479C22×C3#58511yescharacteristic
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—416no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—88no—
1517C3×C4—22no—
1518C3×C4—22no—
1519C3×C4—22no—
1520C3×C4—41no—
1521C3×C4—41no—
1522C3×C4—41no—
1523C3×C4—41no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529Dic3—22no—
1530Dic3—22no—
1531Dic3—22no—
1532Dic3—22no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—32no—
1559C23—32no—
1560C23—32no—
1561C23—68no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—124no—
1595C23—124no—
1596C23—124no—
1597C23—124no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—242no—
1605C23—242no—
1606C23—242no—
1607C23#100412yes—
1608C23D3×#4112yes—
1609C23#100912yes—
1610C23C24×D311yescharacteristic
1611D4—44no—
1612D4—44no—
1613D4—82no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631D4—242no—
1632D4—242no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—32no—
1667C2×C4—32no—
1668C2×C4—32no—
1669C2×C4—32no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—82no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—124no—
1709C2×C4—124no—
1710C2×C4—242no—
1711C2×C4—242no—
1712C2×C4—242no—
1713C2×C4C2×D3×D412yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4C2×D3×D412yes—
1716C2×C3—24no—
1717C2×C3—81no—
1718C2×C3—81no—
1719C2×C3C2×#54011yescharacteristic
1720C2×C3D4×#4111yescharacteristic
1721C2×C3#348411yescharacteristic
1722C2×C3#348811yescharacteristic
1723C2×C3#351311yescharacteristic
1724C2×C3#353311yescharacteristic
1725C2×C3#353411yescharacteristic
1726D3—42no—
1727D3—42no—
1728D3—42no—
1729D3—81no—
1730D3—81no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—62no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—62no—
1756C22—62no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—1216no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—248no—
1788C22#566314yescomplemented
1789C22C22×D3×D411yescharacteristic
1790C22C2×#100411yescharacteristic
1791C22C2×D3×#4111yescharacteristic
1792C22C2×#100911yescharacteristic
1793C22#596411yescharacteristic
1794C22D3×H(5,𝔽2)11yescharacteristic
1795C22#596811yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—62no—
1809C4—62no—
1810C4—62no—
1811C4—62no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C3#3771411yescharacteristic, complemented, Sylow
1820C2—24no—
1821C2—81no—
1822C2—81no—
1823C2—122no—
1824C2—122no—
1825C2—122no—
1826C2—241no—
1827C2—241no—
1828C2C2×#566311yescharacteristic
1829C2#8603711yescharacteristic
1830C2#8645511yescharacteristic
1831C2#8662011yescharacteristic
1832C2#8670411yescharacteristic
1833C2#8671311yescharacteristic
1834C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2443C2
hypercenter#2443D3
hypocenterC3#37714
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#5663C2semidirect
2. C22×#894C2semidirect
3. C3×#2443C2semidirect
4. #82849C2semidirect
5. #82653C2semidirect
6. #82642C2semidirect
7. #82407C2semidirect
8. C4×#937C2semidirect
9. #82161C2semidirect
10. #78113C2semidirect
11. #78066C2semidirect
12. #77979C2semidirect
13. #77854C2semidirect
14. #77699C2semidirect
15. #77581C2semidirect
16. #77152C2semidirect
17. #77133C2semidirect
18. #75910C2semidirect
19. #75852C2semidirect
20. #75332C2semidirect
21. #75302C2semidirect
22. #74935C2semidirect
23. #74893C2semidirect
24. #74893C2semidirect
25. #74891C2semidirect
26. #74890C2semidirect
27. #74879C2semidirect
28. #74622C2semidirect
29. #74601C2semidirect
30. #74440C2semidirect
31. #74432C2semidirect
35. C2×C3×#123C22semidirect
43. C2×#939C22semidirect
49. C2×#930C22semidirect
51. C2×C4×#67C22semidirect
52. C2×C4×#67C22semidirect
69. C2×#892C22semidirect
70. C2×#889C22semidirect
71. C2×#886C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#883C22semidirect
79. C2×#67⋊C4C22semidirect
81. C3×#399C22semidirect
82. C3×#398C22semidirect
83. C3×#397C22semidirect
84. C3×#394C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
91. C3×#385C22semidirect
92. #5222C22semidirect
96. #5213C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
104. #4991C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
111. #4987C22semidirect
112. #4983C22semidirect
113. #4982C22semidirect
114. #4978C22semidirect
115. #4978C22semidirect
116. #4977C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. Dic3×C4⋊C4C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4958C22semidirect
136. #4958C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
149. #4948C22semidirect
153. #4942C22semidirect
154. #4940C22semidirect
155. #4939C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
158. #4677C22semidirect
159. #4676C22semidirect
160. #4676C22semidirect
161. #4675C22semidirect
162. #4674C22semidirect
163. #4674C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4667C22semidirect
177. #4667C22semidirect
178. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4664C22semidirect
186. #4658C22semidirect
187. #4657C22semidirect
188. #4653C22semidirect
189. #4652C22semidirect
208. #2443D3semidirect
385. #894D4semidirect
443. C2×#123C2×D3semidirect
476. #399C2×D3semidirect
480. #398C2×D3semidirect
484. #397C2×D3semidirect
504. #394C2×D3semidirect
532. #388C2×D3semidirect
537. #387C2×D3semidirect
567. #385C2×D3semidirect
1472. C22×C3#540semidirect
1788. C22#5663semidirect
1819. C3#37714semidirect

Maximal subgroups

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

subgroupindex
C2×#56632
C22×#8942
C3×#24432
#828492
#826532
#826422
#824072
C4×#9372
#821612
#781132
#780662
#779792
#778542
#776992
#775812
#771522
#771332
#759102
#758522
#753322
#753022
#749352
#748932
#748912
#748902
#748792
#746222
#746012
#744402
#744322
#377143