Finite Group Databasebeta

← #11633153

Subgroups — #11633153

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×#5791C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2280C211yesmaximal, characteristic, complemented
4C2×#5213C211yesmaximal, characteristic, complemented
5#82275C211yesmaximal, characteristic, complemented
6#82255C211yesmaximal, characteristic, complemented
7#82242C211yesmaximal, characteristic, complemented
8#74125C211yesmaximal, characteristic, complemented
9#74122C211yesmaximal, characteristic, complemented
10#74121C211yesmaximal, characteristic, complemented
11#74067C211yesmaximal, characteristic, complemented
12#74035C211yesmaximal, characteristic, complemented
13#74022C211yesmaximal, characteristic, complemented
14#73966C211yesmaximal, characteristic, complemented
15#73965C211yesmaximal, characteristic, complemented
16#73961C211yesmaximal, characteristic, complemented
17#73906C211yesmaximal, characteristic, complemented
18#73904C211yesmaximal, characteristic, complemented
19#73895C211yesmaximal, characteristic, complemented
20#73854C211yesmaximal, characteristic, complemented
21#73829C211yesmaximal, characteristic, complemented
22#73826C211yesmaximal, characteristic, complemented
23#73824C211yesmaximal, characteristic, complemented
24#73600C211yesmaximal, characteristic, complemented
25#73591C211yesmaximal, characteristic, complemented
26#73590C211yesmaximal, characteristic, complemented
27#73579C211yesmaximal, characteristic, complemented
28#73538C211yesmaximal, characteristic, complemented
29#73502C211yesmaximal, characteristic, complemented
30#73499C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#59007—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C2×C3×#117C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C22×#217C2211yescharacteristic
41#5791—28no—
42C2×#930C2211yescharacteristic, complemented
43C2×#930C2211yescharacteristic, complemented
44C2×#929C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C2×#926C2211yescharacteristic
53C2×#924C2211yescharacteristic, complemented
54C2×#924C2211yescharacteristic, complemented
55#5527—28no—
56C2×#898C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#876C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic, complemented
75C2×#872C2211yescharacteristic, complemented
76C3×#381C2211yescharacteristic
77C3×#381C2211yescharacteristic
78C3×#380C2211yescharacteristic, complemented
79C3×#380C2211yescharacteristic, complemented
80C3×#380C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82C3×#379C2211yescharacteristic
83C3×#379C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96C2×C3⋊#95C2211yescharacteristic
97C2×C3⋊#95C2211yescharacteristic
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic, complemented
132#4955C2211yescharacteristic
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4951C2211yescharacteristic, complemented
137#4950C2211yescharacteristic
138#4949C2211yescharacteristic, complemented
139#4947C2211yescharacteristic, complemented
140#4946C2211yescharacteristic
141#4945C2211yescharacteristic, complemented
142#4944C2211yescharacteristic, complemented
143#4942C2211yescharacteristic
144#4942C2211yescharacteristic
145Dic3×C22⋊C4C2211yescharacteristic
146#4940C2211yescharacteristic, complemented
147#4940C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic, complemented
152#4939C2211yescharacteristic, complemented
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, 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#2425—31no—
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#2280D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4—24no—
224C23×C3×C4—24no—
225C23×C3×C4—42no—
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67—24no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#235—24no—
249C2×#235—24no—
250C2×#235—42no—
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#117—24no—
265C3×#117—42no—
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊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×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286#953—24no—
287#953—24no—
288C2×#217—42no—
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299#930—24no—
300#930—24no—
301#929—24no—
302#929D418yescomplemented
303C4×#67—24no—
304C4×#67—24no—
305C4×#67—24no—
306C4×#67—24no—
307C2×(C2×D3)⋊C4—24no—
308C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341#926—24no—
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347#924—24no—
348#924—24no—
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×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#898—24no—
370#896—24no—
371#894—24no—
372#894—24no—
373#885—42no—
374#884—24no—
375#884—24no—
376#884—42no—
377#884—42no—
378#883—42no—
379#882—24no—
380#882—42no—
381#67⋊C4—24no—
382#67⋊C4—42no—
383D3×C22⋊C4—24no—
384#878—24no—
385#876—24no—
386#875—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×C4C2×D311yescharacteristic
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×#123—31no—
436C2×#123—31no—
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×#121—31no—
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×D4—31no—
458C2×#117—31no—
459C2×#117—31no—
460C2×#117C2×D311yescharacteristic
461C2×#117C2×D311yescharacteristic
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#398—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
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#394—31no—
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#389—31no—
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#388—31no—
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#386—31no—
548#386—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#381—31no—
555#381C2×D311yescharacteristic
556#381C2×D311yescharacteristic
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic, complemented
561#380C2×D311yescharacteristic, complemented
562#380C2×D311yescharacteristic, complemented
563#380C2×D311yescharacteristic, complemented
564#379—31no—
565#379C2×D311yescharacteristic
566#379C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic, complemented
574C4×C22⋊C4C2×D311yescharacteristic, complemented
575C4×C22⋊C4C2×D311yescharacteristic, complemented
576C4×C22⋊C4C2×D311yescharacteristic, complemented
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—416no—
618C22×C3×C4C2×D414yes—
619C22×C3×C4#4114yes—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
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
632C2×#67—22no—
633C2×#67—22no—
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—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—416no—
661C2×#67C2×D414yes—
662C2×#67#4114yescomplemented
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684#235—416no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
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×D3—41no—
717C2×C4×D3—41no—
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—41no—
727C3×C4⋊C4—41no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C42—22no—
741C3×C42—22no—
742C3×C42—41no—
743C3×C42—41no—
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#217C2×D414yes—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—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—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4C2×D414yescomplemented
785(C2×D3)⋊C4C2×D414yescomplemented
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4C2×D414yescomplemented
804Dic3⋊C4C2×D414yescomplemented
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25C22×D311yescharacteristic
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—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—64no—
834C22×D4—122no—
835C22×D4—122no—
836C23×C4—24no—
837C23×C4—24no—
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—42no—
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
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—38no—
859#123—64no—
860#123—64no—
861#123—64no—
862#123—122no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867#121—64no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—122no—
872#121—122no—
873#120—64no—
874#120—64no—
875#120—64no—
876#120—122no—
877C4×D4—64no—
878C4×D4—64no—
879C4×D4—64no—
880C4×D4—64no—
881C4×D4—64no—
882C4×D4—64no—
883C4×D4—122no—
884#117—24no—
885#117—42no—
886#117—64no—
887#117—64no—
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—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
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—64no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—122no—
957C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
976C2×C42C22×D311yescharacteristic
977C2×C42C22×D311yescharacteristic
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#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—28no—
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—44no—
1031C23×C3—44no—
1032C23×C3—44no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3C22×D412yes—
1037C23×C3C2×#4112yes—
1038C23×C3C2×#4112yes—
1039C23×C3H(5,𝔽2)12yes—
1040C23×C3H(5,𝔽2)12yes—
1041C23×C3C2511yescharacteristic
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—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—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3—82no—
1075C22×D3C22×D412yes—
1076C22×D3C2×#4112yes—
1077C2×C3×C4—28no—
1078C2×C3×C4—28no—
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—44no—
1112C2×C3×C4—44no—
1113C2×C3×C4—44no—
1114C2×C3×C4—44no—
1115C2×C3×C4C22×D412yes—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C2×#4112yes—
1118C2×C3×C4C2×#4112yes—
1119#67—28no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128#67—44no—
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—21no—
1161C2×Dic3—44no—
1162C2×Dic3—82no—
1163C2×Dic3—82no—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3C22×D412yes—
1167C2×Dic3C2×#4112yes—
1168D12—44no—
1169D12—44no—
1170D12—82no—
1171D12—82no—
1172D12—82no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—82no—
1177C4×D3—82no—
1178C4×D3—82no—
1179Dic6—44no—
1180Dic6—82no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—31no—
1190C24—41no—
1191C24—41no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
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—34no—
1210C2×D4—34no—
1211C2×D4—62no—
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—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
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—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—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
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—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—416no—
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—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4#23514yes—
1312C22×C4D3×D414yes—
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—34no—
1328C4⋊C4—34no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
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—22no—
1356C22⋊C4—34no—
1357C22⋊C4—34no—
1358C22⋊C4—34no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—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⋊C4—121no—
1402C42—22no—
1403C42—22no—
1404C42—41no—
1405C42—41no—
1406C42—62no—
1407C42—62no—
1408C42—62no—
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—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—416no—
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×C3#54614yes—
1434C22×C3C23×D411yescharacteristic
1435C22×C3C22×#4111yescharacteristic
1436C22×C3C22×#4111yescharacteristic
1437C22×C3C2×H(5,𝔽2)11yescharacteristic
1438C22×C3C2×H(5,𝔽2)11yescharacteristic
1439C22×C3#58511yescharacteristic
1440C22×C3#58511yescharacteristic
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
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—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—88no—
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—28no—
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—32no—
1512C23—32no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
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—61no—
1543C23—61no—
1544C23—61no—
1545C23—124no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—242no—
1550C23—242no—
1551C23—242no—
1552C23C2×#23512yes—
1553C23C2×D3×D412yes—
1554C23#100412yes—
1555C23D3×#4112yes—
1556C23#100912yes—
1557C23C24×D311yescharacteristic
1558Q8—124no—
1559Q8—242no—
1560D4—68no—
1561D4—124no—
1562D4—124no—
1563D4—124no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—242no—
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—28no—
1584C2×C4—28no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—32no—
1610C2×C4—32no—
1611C2×C4—32no—
1612C2×C4—32no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
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—61no—
1648C2×C4—61no—
1649C2×C4—124no—
1650C2×C4—124no—
1651C2×C4—124no—
1652C2×C4—124no—
1653C2×C4—242no—
1654C2×C4—242no—
1655C2×C4—242no—
1656C2×C4—242no—
1657C2×C4—242no—
1658C2×C4C2×#23512yes—
1659C2×C4C2×#23512yes—
1660C2×C4C2×D3×D412yes—
1661C2×C4C2×D3×D412yes—
1662C2×C3—24no—
1663C2×C3—42no—
1664C2×C3—42no—
1665C2×C3C2×#54611yescharacteristic
1666C2×C3D4×#4111yescharacteristic
1667C2×C3#347511yescharacteristic
1668C2×C3#348811yescharacteristic
1669C2×C3#349011yescharacteristic
1670C2×C3#349411yescharacteristic
1671C2×C3#353311yescharacteristic
1672D3—42no—
1673D3—42no—
1674D3—81no—
1675D3—81no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—416no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
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—248no—
1726C22#549014yes—
1727C22C22×#23511yescharacteristic
1728C22C22×D3×D411yescharacteristic
1729C22C2×#100411yescharacteristic
1730C22C2×D3×#4111yescharacteristic
1731C22C2×#100911yescharacteristic
1732C22#596411yescharacteristic
1733C22#596411yescharacteristic
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—24no—
1760C2—42no—
1761C2—42no—
1762C2—122no—
1763C2—122no—
1764C2—241no—
1765C2—241no—
1766C2C2×#549011yescharacteristic
1767C2#8574411yescharacteristic
1768C2#8574711yescharacteristic
1769C2#8603711yescharacteristic
1770C2#8604111yescharacteristic
1771C2#8604311yescharacteristic
1772C2#8604911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2280C2
hypercenter#2280D3
hypocenterC3#59007
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
1. C2×#5791C2semidirect
2. C2×#5527C2semidirect
3. C3×#2280C2semidirect
4. C2×#5213C2semidirect
5. #82275C2semidirect
6. #82255C2semidirect
7. #82242C2semidirect
8. #74125C2semidirect
9. #74122C2semidirect
10. #74121C2semidirect
11. #74067C2semidirect
12. #74035C2semidirect
13. #74022C2semidirect
14. #73966C2semidirect
15. #73965C2semidirect
16. #73961C2semidirect
17. #73906C2semidirect
18. #73904C2semidirect
19. #73895C2semidirect
20. #73854C2semidirect
21. #73829C2semidirect
22. #73826C2semidirect
23. #73824C2semidirect
24. #73600C2semidirect
25. #73591C2semidirect
26. #73590C2semidirect
27. #73579C2semidirect
28. #73538C2semidirect
29. #73502C2semidirect
30. #73499C2semidirect
31. #73470C2semidirect
42. C2×#930C22semidirect
43. C2×#930C22semidirect
46. C2×C4×#67C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
53. C2×#924C22semidirect
54. C2×#924C22semidirect
56. C2×#898C22semidirect
57. C2×#896C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
60. C2×#885C22semidirect
65. C2×#883C22semidirect
72. C2×#876C22semidirect
73. C2×#875C22semidirect
74. C2×C4×D12C22semidirect
75. C2×#872C22semidirect
78. C3×#380C22semidirect
79. C3×#380C22semidirect
80. C3×#380C22semidirect
81. C3×#380C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. C3×C4×C22⋊C4C22semidirect
86. C3×C4×C22⋊C4C22semidirect
87. C3×C4×C22⋊C4C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4993C22semidirect
101. #4992C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4989C22semidirect
106. #4985C22semidirect
107. #4983C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
110. #4961C22semidirect
111. #4961C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
128. #4957C22semidirect
131. #4956C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
136. #4951C22semidirect
138. #4949C22semidirect
139. #4947C22semidirect
141. #4945C22semidirect
142. #4944C22semidirect
146. #4940C22semidirect
147. #4940C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
151. #4939C22semidirect
152. #4939C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. #4933C22semidirect
155. #4933C22semidirect
156. #4933C22semidirect
157. C4×Dic3⋊C4C22semidirect
158. #4673C22semidirect
159. #4673C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
220. #2280D3semidirect
302. #929D4semidirect
560. #380C2×D3semidirect
561. #380C2×D3semidirect
562. #380C2×D3semidirect
563. #380C2×D3semidirect
573. C4×C22⋊C4C2×D3semidirect
574. C4×C22⋊C4C2×D3semidirect
575. C4×C22⋊C4C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
662. C2×#67#41semidirect
784. (C2×D3)⋊C4C2×D4semidirect
785. (C2×D3)⋊C4C2×D4semidirect
803. Dic3⋊C4C2×D4semidirect
804. Dic3⋊C4C2×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×#57912
C2×#55272
C3×#22802
C2×#52132
#822752
#822552
#822422
#741252
#741222
#741212
#740672
#740352
#740222
#739662
#739652
#739612
#739062
#739042
#738952
#738542
#738292
#738262
#738242
#736002
#735912
#735902
#735792
#735382
#735022
#734992
#734702
#590073