Finite Group Databasebeta

← #11633136

Subgroups — #11633136

Order 768.

2814 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5659C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2425C211yesmaximal, characteristic, complemented
4#82909C211yesmaximal, characteristic, complemented
5#82896C211yesmaximal, characteristic, complemented
6#82853C211yesmaximal, characteristic, complemented
7#82672C211yesmaximal, characteristic, complemented
8#82640C211yesmaximal, characteristic, complemented
9#82412C211yesmaximal, characteristic, complemented
10#77975C211yesmaximal, characteristic, complemented
11#77955C211yesmaximal, characteristic, complemented
12#77477C211yesmaximal, characteristic, complemented
13#77474C211yesmaximal, characteristic, complemented
14#77440C211yesmaximal, characteristic, complemented
15#77414C211yesmaximal, characteristic, complemented
16#77108C211yesmaximal, characteristic, complemented
17#76954C211yesmaximal, characteristic, complemented
18#76222C211yesmaximal, characteristic, complemented
19#75985C211yesmaximal, characteristic, complemented
20#75832C211yesmaximal, characteristic, complemented
21#75517C211yesmaximal, characteristic, complemented
22#74886C211yesmaximal, characteristic, complemented
23D3×#386C211yesmaximal, characteristic, complemented
24#74722C211yesmaximal, characteristic, complemented
25#74717C211yesmaximal, characteristic, complemented
26#74628C211yesmaximal, characteristic, complemented
27#74597C211yesmaximal, characteristic, complemented
28#73895C211yesmaximal, characteristic, complemented
29#73862C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31#73338C211yesmaximal, characteristic, complemented
32#59007—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic, complemented
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#936C2211yescharacteristic, complemented
44C2×#930C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50#5659—28no—
51#5547—28no—
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#892C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×#892C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic, complemented
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic, complemented
75C2×#872C2211yescharacteristic
76C3×#398C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic, complemented
86C2×C3×#95C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5221C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#5211C2211yescharacteristic, complemented
101C4×#217C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic, complemented
112#4988C2211yescharacteristic
113#4988C2211yescharacteristic, complemented
114#4988C2211yescharacteristic, complemented
115#4987C2211yescharacteristic
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4986C2211yescharacteristic, complemented
120#4985C2211yescharacteristic, complemented
121#4983C2211yescharacteristic, complemented
122#4981C2211yescharacteristic, complemented
123#4979C2211yescharacteristic, complemented
124#4976C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic, complemented
134#4958C2211yescharacteristic
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4952C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic, complemented
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2703—31no—
193#2702—31no—
194#2692—31no—
195#2671—31no—
196#2560—31no—
197#2555—31no—
198#2498—31no—
199#2477—31no—
200#2472—31no—
201#2467—31no—
202#2467—31no—
203#2464—31no—
204#2459—31no—
205#2457—31no—
206#2438—31no—
207#2427—31no—
208#2425D311yescharacteristic, complemented
209#2418—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2404—31no—
214#2364—31no—
215#2363—31no—
216#2359—31no—
217#2342—31no—
218#2339—31no—
219C2×#386—31no—
220#2280—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
238C23×Dic3C2311yescharacteristic
239C2×D3×D4—24no—
240C2×D3×D4—42no—
241C2×D3×D4—42no—
242C2×#235—24no—
243C2×#235—24no—
244C2×#235—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3—24no—
250C22×C4×D3—24no—
251C22×C4×D3—42no—
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#123—24no—
265C3×#123—42no—
266C3×#121—42no—
267C3×C4×D4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊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×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#939—24no—
302#937—24no—
303#937—24no—
304#936—24no—
305#930—24no—
306C4×#67—24no—
307C4×#67—24no—
308C4×#67—24no—
309C4×#67—24no—
310C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#896—24no—
366#896—24no—
367#896—24no—
368#895—24no—
369#894—24no—
370#892—24no—
371#892—24no—
372#892—42no—
373#885—42no—
374#884—24no—
375#884—42no—
376#883—24no—
377#883D418yescomplemented
378#882—24no—
379#882—42no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—42no—
384#879—24no—
385#879—24no—
386#878—24no—
387C4×D12—24no—
388#872—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425C24×C4—31no—
426#551—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431#525—68no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic, complemented
436C2×#123C2×D311yescharacteristic, complemented
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4C2×D311yescharacteristic, complemented
458C2×#117—31no—
459C2×#117—31no—
460C2×#117—31no—
461C2×#117—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#400—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#397—31no—
474#397—31no—
475#397C2×D311yescharacteristic, complemented
476#396—31no—
477#396C2×D311yescharacteristic, complemented
478#395—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic
489#393—31no—
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#389—31no—
507#389C2×D311yescharacteristic, complemented
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386C2×D311yescharacteristic
548#386C2×D311yescharacteristic, complemented
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385C2×D311yescharacteristic, complemented
554#381—31no—
555#381—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380C2×D311yescharacteristic, complemented
564#379—31no—
565#379—31no—
566#379—31no—
567C4×C4⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic, complemented
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—22no—
591C23×D3—22no—
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×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
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—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67C2×D414yes—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673D3×D4—416no—
674#235—416no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12#4114yescomplemented
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—416no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3C2×D414yes—
717C2×C4×D3#4114yes—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—41no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—41no—
729C3×C4⋊C4—41no—
730C3×C4⋊C4—41no—
731C3×C4⋊C4—41no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4C2×D414yescomplemented
743C3×C42—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217C2×D414yescomplemented
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—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—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4C2×D414yes—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791C4⋊Dic3C2×D414yescomplemented
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4C2×D414yescomplemented
802C4×Dic3—22no—
803C4×Dic3—22no—
804C4×Dic3—22no—
805C4×Dic3—22no—
806C4×Dic3—41no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25—31no—
813C2×#41—64no—
814C2×#41—64no—
815C2×#41—122no—
816C22×Q8—31no—
817C22×Q8—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—64no—
831C22×D4—122no—
832C22×D4—122no—
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—64no—
848C23×C4—64no—
849C23×C4—122no—
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852C23×C4C22×D311yescharacteristic
853C23×C4C22×D311yescharacteristic
854#126—64no—
855#126—64no—
856#124—64no—
857#124—122no—
858#123—24no—
859#123—38no—
860#123—42no—
861#123—64no—
862#123—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867#121—42no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—64no—
872#121—122no—
873#120—64no—
874#120—64no—
875#120—64no—
876#120—122no—
877C4×D4—24no—
878C4×D4—64no—
879C4×D4—64no—
880C4×D4—64no—
881C4×D4—64no—
882C4×D4—64no—
883C4×D4—122no—
884#117—64no—
885#117—64no—
886#117—64no—
887#117—122no—
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⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—122no—
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42—31no—
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3C22×D412yes—
1033C23×C3H(5,𝔽2)12yes—
1034C23×C3C2511yescharacteristic
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—28no—
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—21no—
1058C22×D3—21no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3C2×#4112yes—
1076C22×D3H(5,𝔽2)12yes—
1077C3×D4—44no—
1078C3×D4—44no—
1079C3×D4—82no—
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×C4—44no—
1114C2×C3×C4—82no—
1115C2×C3×C4—82no—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C2×#4112yes—
1119C2×C3×C4C2×#4112yes—
1120#67—28no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—82no—
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—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—44no—
1161C2×Dic3C22×D412yes—
1162C2×Dic3C22×D412yes—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C2×#4112yes—
1165D12—44no—
1166D12—44no—
1167D12—44no—
1168D12—82no—
1169C4×D3—28no—
1170C4×D3—28no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—82no—
1177C4×D3—82no—
1178C4×D3—82no—
1179Dic6—44no—
1180Dic6—82no—
1181C24—31no—
1182C24—31no—
1183C24—31no—
1184C24—31no—
1185C24—62no—
1186C24—62no—
1187C24—62no—
1188C24—62no—
1189C24—62no—
1190C24—62no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—121no—
1195C24—121no—
1196C24—121no—
1197C24—121no—
1198C24—121no—
1199C24C23×D311yescharacteristic
1200C24C23×D311yescharacteristic
1201C24C23×D311yescharacteristic
1202#41—1216no—
1203C2×Q8—62no—
1204C2×Q8—62no—
1205C2×Q8—62no—
1206C2×Q8—121no—
1207C2×Q8—121no—
1208C2×Q8—121no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—34no—
1215C2×D4—34no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—1216no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—34no—
1266C22×C4—34no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—1216no—
1312C22×C4—121no—
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—34no—
1330C4⋊C4—34no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—34no—
1356C22⋊C4—34no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
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—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
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—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4D3×D414yescomplemented
1402C42—22no—
1403C42—62no—
1404C42—62no—
1405C42—62no—
1406C42—62no—
1407C42—121no—
1408C42—121no—
1409C42—121no—
1410C42—121no—
1411C42—121no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—22no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3C23×D411yescharacteristic
1434C22×C3C22×#4111yescharacteristic
1435C22×C3C22×#4111yescharacteristic
1436C22×C3C2×H(5,𝔽2)11yescharacteristic
1437C22×C3C2×H(5,𝔽2)11yescharacteristic
1438C22×C3#58511yescharacteristic
1439C22×C3#58511yescharacteristic
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—416no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—88no—
1469C2×D3#54614yes—
1470C3×C4—22no—
1471C3×C4—22no—
1472C3×C4—22no—
1473C3×C4—22no—
1474C3×C4—41no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482Dic3—22no—
1483Dic3—22no—
1484Dic3—22no—
1485Dic3—22no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
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—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—32no—
1514C23—32no—
1515C23—32no—
1516C23—32no—
1517C23—32no—
1518C23—68no—
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—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—124no—
1543C23—124no—
1544C23—124no—
1545C23—124no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—242no—
1553C23—242no—
1554C23—242no—
1555C23C2×D3×D412yes—
1556C23#100412yes—
1557C23C24×D311yescharacteristic
1558Q8—124no—
1559Q8—242no—
1560D4—44no—
1561D4—44no—
1562D4—68no—
1563D4—82no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—124no—
1573D4—242no—
1574D4—242no—
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—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—32no—
1608C2×C4—32no—
1609C2×C4—32no—
1610C2×C4—32no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—68no—
1614C2×C4—68no—
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—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—124no—
1650C2×C4—124no—
1651C2×C4—124no—
1652C2×C4—124no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—242no—
1656C2×C4—242no—
1657C2×C4—242no—
1658C2×C4C2×D3×D412yes—
1659C2×C4C2×D3×D412yes—
1660C2×C4D3×#4112yes—
1661C2×C4D3×#4112yes—
1662C2×C3—42no—
1663C2×C3—42no—
1664C2×C3—81no—
1665C2×C3C2×#54611yescharacteristic
1666C2×C3D4×#4111yescharacteristic
1667C2×C3#347511yescharacteristic
1668C2×C3#348811yescharacteristic
1669C2×C3#349011yescharacteristic
1670C2×C3#349411yescharacteristic
1671C2×C3#353311yescharacteristic
1672D3—24no—
1673D3—42no—
1674D3—42no—
1675D3—81no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—34no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—1216no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—248no—
1727C22C22×D3×D411yescharacteristic
1728C22C2×#100411yescharacteristic
1729C22C2×D3×#4111yescharacteristic
1730C22C2×D3×#4111yescharacteristic
1731C22#596411yescharacteristic
1732C22D3×H(5,𝔽2)11yescharacteristic
1733C22#596811yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—62no—
1747C4—62no—
1748C4—62no—
1749C4—62no—
1750C4—121no—
1751C4—121no—
1752C4—121no—
1753C4—121no—
1754C4—121no—
1755C4—121no—
1756C4—121no—
1757C4—121no—
1758C3#5900711yescharacteristic, complemented, Sylow
1759C2—42no—
1760C2—42no—
1761C2—64no—
1762C2—81no—
1763C2—122no—
1764C2—122no—
1765C2—241no—
1766C2#8594911yescharacteristic
1767C2#8615111yescharacteristic
1768C2#8645711yescharacteristic
1769C2D3×#54611yescharacteristic
1770C2#8666411yescharacteristic
1771C2#8667411yescharacteristic
1772C2#8667811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2425C2
hypercenter#2425D3
hypocenterC3#59007
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#5659C2semidirect
2. C2×#5547C2semidirect
3. C3×#2425C2semidirect
4. #82909C2semidirect
5. #82896C2semidirect
6. #82853C2semidirect
7. #82672C2semidirect
8. #82640C2semidirect
9. #82412C2semidirect
10. #77975C2semidirect
11. #77955C2semidirect
12. #77477C2semidirect
13. #77474C2semidirect
14. #77440C2semidirect
15. #77414C2semidirect
16. #77108C2semidirect
17. #76954C2semidirect
18. #76222C2semidirect
19. #75985C2semidirect
20. #75832C2semidirect
21. #75517C2semidirect
22. #74886C2semidirect
23. D3×#386C2semidirect
24. #74722C2semidirect
25. #74717C2semidirect
26. #74628C2semidirect
27. #74597C2semidirect
28. #73895C2semidirect
29. #73862C2semidirect
30. #73368C2semidirect
31. #73338C2semidirect
36. C2×C3×#123C22semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×C4×D4C22semidirect
40. C2×#939C22semidirect
43. C2×#936C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
53. C2×#896C22semidirect
54. C2×#896C22semidirect
59. C2×#892C22semidirect
60. C2×#885C22semidirect
62. C2×#884C22semidirect
64. C2×#883C22semidirect
71. C2×#879C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
74. C2×C4×D12C22semidirect
76. C3×#398C22semidirect
77. C3×#397C22semidirect
78. C3×#396C22semidirect
80. C3×#389C22semidirect
81. C3×#388C22semidirect
83. C3×#386C22semidirect
84. C3×#385C22semidirect
85. C3×#380C22semidirect
86. C2×C3×#95C22semidirect
90. #5223C22semidirect
91. #5222C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5212C22semidirect
100. #5211C22semidirect
101. C4×#217C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
104. #4992C22semidirect
105. #4991C22semidirect
106. #4990C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
111. #4989C22semidirect
113. #4988C22semidirect
114. #4988C22semidirect
117. #4987C22semidirect
118. #4987C22semidirect
119. #4986C22semidirect
120. #4985C22semidirect
121. #4983C22semidirect
122. #4981C22semidirect
123. #4979C22semidirect
124. #4976C22semidirect
125. Dic3×C4⋊C4C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
129. #4960C22semidirect
133. #4959C22semidirect
135. #4957C22semidirect
140. #4956C22semidirect
144. #4952C22semidirect
145. #4951C22semidirect
146. #4951C22semidirect
147. #4951C22semidirect
148. #4947C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
154. Dic3×C22⋊C4C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4933C22semidirect
158. #4677C22semidirect
159. #4673C22semidirect
160. #4673C22semidirect
161. #4672C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4668C22semidirect
165. #4667C22semidirect
167. #4666C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
177. #4665C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
208. #2425D3semidirect
377. #883D4semidirect
435. C2×#123C2×D3semidirect
436. C2×#123C2×D3semidirect
457. C2×C4×D4C2×D3semidirect
472. #398C2×D3semidirect
475. #397C2×D3semidirect
477. #396C2×D3semidirect
507. #389C2×D3semidirect
521. #388C2×D3semidirect
548. #386C2×D3semidirect
553. #385C2×D3semidirect
563. #380C2×D3semidirect
579. C2×#95C2×D3semidirect
686. C2×D12#41semidirect
742. C3×C22⋊C4C2×D4semidirect
756. #217C2×D4semidirect
791. C4⋊Dic3C2×D4semidirect
801. Dic3⋊C4C2×D4semidirect
1401. C22⋊C4D3×D4semidirect
1758. C3#59007semidirect

Maximal subgroups

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

subgroupindex
C2×#56592
C2×#55472
C3×#24252
#829092
#828962
#828532
#826722
#826402
#824122
#779752
#779552
#774772
#774742
#774402
#774142
#771082
#769542
#762222
#759852
#758322
#755172
#748862
D3×#3862
#747222
#747172
#746282
#745972
#738952
#738622
#733682
#733382
#590073