Finite Group Databasebeta

← #11633154

Subgroups — #11633154

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×#5556C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2364C211yesmaximal, characteristic, complemented
4#82681C211yesmaximal, characteristic, complemented
5#82640C211yesmaximal, characteristic, complemented
6#82413C211yesmaximal, characteristic, complemented
7#82365C211yesmaximal, characteristic, complemented
8#75865C211yesmaximal, characteristic, complemented
9#75842C211yesmaximal, characteristic, complemented
10#75681C211yesmaximal, characteristic, complemented
11#75526C211yesmaximal, characteristic, complemented
12#75359C211yesmaximal, characteristic, complemented
13#75339C211yesmaximal, characteristic, complemented
14#75318C211yesmaximal, characteristic, complemented
15#75002C211yesmaximal, characteristic, complemented
16#74892C211yesmaximal, characteristic, complemented
17#74888C211yesmaximal, characteristic, complemented
18#74886C211yesmaximal, characteristic, complemented
19D3×#386C211yesmaximal, characteristic, complemented
20#74814C211yesmaximal, characteristic, complemented
21#74803C211yesmaximal, characteristic, complemented
22#74714C211yesmaximal, characteristic, complemented
23#74677C211yesmaximal, characteristic, complemented
24#73600C211yesmaximal, characteristic, complemented
25#73578C211yesmaximal, characteristic, complemented
26#73574C211yesmaximal, characteristic, complemented
27#73561C211yesmaximal, characteristic, complemented
28#73499C211yesmaximal, characteristic, complemented
29#73486C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31#73349C211yesmaximal, characteristic, complemented
32#59007—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic, complemented
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#935C2211yescharacteristic, complemented
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C2×#924C2211yescharacteristic, complemented
54#5556—28no—
55#5547—28no—
56C2×#898C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#878C2211yescharacteristic, complemented
69C2×#877C2211yescharacteristic, complemented
70C2×#876C2211yescharacteristic, complemented
71C2×#875C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic, complemented
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic
75C2×#872C2211yescharacteristic
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87C2×C3×#95C2211yescharacteristic, complemented
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#5211C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101C4×#217C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4988C2211yescharacteristic
106#4987C2211yescharacteristic
107#4983C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic, complemented
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4951C2211yescharacteristic, complemented
130#4949C2211yescharacteristic, complemented
131#4948C2211yescharacteristic, complemented
132#4947C2211yescharacteristic, complemented
133#4947C2211yescharacteristic, complemented
134#4946C2211yescharacteristic, complemented
135#4945C2211yescharacteristic, complemented
136#4944C2211yescharacteristic, complemented
137#4942C2211yescharacteristic, complemented
138#4942C2211yescharacteristic, complemented
139Dic3×C22⋊C4C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4939C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4929C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic, complemented
157#4671C2211yescharacteristic
158#4670C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, 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#2364D311yescharacteristic, complemented
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
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—42no—
243C2×D3×D4—42no—
244C2×#235—24no—
245C2×#235—24no—
246C2×#235—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3—24no—
252C22×C4×D3—24no—
253C22×C4×D3—42no—
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×#121—24no—
265C3×C4×D4—24no—
266C3×C4×D4—24no—
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×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296#939—24no—
297#939—24no—
298#937—24no—
299#937—24no—
300#935—24no—
301#930—42no—
302#930—42no—
303#929—24no—
304#929—42no—
305C4×#67—24no—
306C4×#67—24no—
307C4×#67—24no—
308C4×#67—42no—
309C2×(C2×D3)⋊C4—24no—
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
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346#924—24no—
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×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#896—24no—
372#894—24no—
373#885—24no—
374#884—24no—
375#883D418yescomplemented
376#882—24no—
377#882—42no—
378D3×C22⋊C4—24no—
379D3×C22⋊C4—24no—
380D3×C22⋊C4—42no—
381#878—24no—
382#877—24no—
383#876—24no—
384#875—42no—
385C4×D12—24no—
386#872—24no—
387#872—24no—
388#872—42no—
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×#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×#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×D4C2×D311yescharacteristic, complemented
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#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#388C2×D311yescharacteristic, complemented
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387C2×D311yescharacteristic, complemented
527#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
546#386C2×D311yescharacteristic
547#386C2×D311yescharacteristic, complemented
548#386C2×D311yescharacteristic, complemented
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
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#380—31no—
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⋊C4C2×D311yescharacteristic, complemented
575C4×C22⋊C4C2×D311yescharacteristic, complemented
576C4×C22⋊C4C2×D311yescharacteristic, complemented
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—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4#4114yescomplemented
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—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
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
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
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×#67C2×D414yes—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679D3×D4—416no—
680#235—416no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
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—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—416no—
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×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4C2×D414yescomplemented
737C3×C42—22no—
738C3×C42—22no—
739C3×C42—41no—
740C3×C42—41no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217C2×D414yescomplemented
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—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—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×D414yes—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3C2×D414yescomplemented
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4C2×D414yescomplemented
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
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—64no—
847C23×C4—64no—
848C23×C4—122no—
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—24no—
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—24no—
878C4×D4—24no—
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⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
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—31no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—64no—
958C2×C22⋊C4—122no—
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#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
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×C3C22×D412yes—
1032C23×C3C2×#4112yes—
1033C23×C3C2×#4112yes—
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—21no—
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—44no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3C22×D412yes—
1074C22×D3C2×#4112yes—
1075C22×D3H(5,𝔽2)12yes—
1076C22×D3H(5,𝔽2)12yes—
1077C3×D4—44no—
1078C3×D4—44no—
1079C3×D4—44no—
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×C4—82no—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C2×#4112yes—
1120C2×C3×C4C2×#4112yes—
1121#67—28no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—82no—
1128#67—82no—
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—44no—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3C2×#4112yes—
1167D12—44no—
1168D12—44no—
1169D12—44no—
1170D12—82no—
1171C4×D3—28no—
1172C4×D3—28no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—44no—
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—34no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
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—62no—
1236C2×D4—62no—
1237C2×D4—62no—
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—1216no—
1254C2×D4#23514yescomplemented
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—34no—
1267C22×C4—34no—
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—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
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—62no—
1301C22×C4—62no—
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—1216no—
1311C22×C4—121no—
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—34no—
1329C4⋊C4—34no—
1330C4⋊C4—62no—
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—121no—
1340C4⋊C4—121no—
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—34no—
1354C22⋊C4—34no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
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—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—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—416no—
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—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—32no—
1513C23—32no—
1514C23—32no—
1515C23—32no—
1516C23—68no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—124no—
1542C23—124no—
1543C23—124no—
1544C23—124no—
1545C23—124no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—242no—
1552C23—242no—
1553C23—242no—
1554C23C2×#23512yes—
1555C23C2×#23512yes—
1556C23C2×D3×D412yes—
1557C23C24×D311yescharacteristic
1558Q8—124no—
1559Q8—242no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—68no—
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—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—82no—
1650C2×C4—124no—
1651C2×C4—124no—
1652C2×C4—124no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—124no—
1656C2×C4—242no—
1657C2×C4—242no—
1658C2×C4C2×#23512yes—
1659C2×C4C2×D3×D412yes—
1660C2×C4C2×D3×D412yes—
1661C2×C4D3×#4112yes—
1662C2×C3—42no—
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—24no—
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—34no—
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—1216no—
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—121no—
1726C22—248no—
1727C22C22×#23511yescharacteristic
1728C22C22×D3×D411yescharacteristic
1729C22C2×D3×#4111yescharacteristic
1730C22#596411yescharacteristic
1731C22#596411yescharacteristic
1732C22D3×H(5,𝔽2)11yescharacteristic
1733C22D3×H(5,𝔽2)11yescharacteristic
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—42no—
1762C2—64no—
1763C2—122no—
1764C2—241no—
1765C2—241no—
1766C2D4×#23511yescharacteristic
1767C2#8584111yescharacteristic
1768C2#8586811yescharacteristic
1769C2#8662911yescharacteristic
1770C2D3×#54611yescharacteristic
1771C2#8687811yescharacteristic
1772C2#8691411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2364C2
hypercenter#2364D3
hypocenterC3#59007
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
1. C2×#5556C2semidirect
2. C2×#5547C2semidirect
3. C3×#2364C2semidirect
4. #82681C2semidirect
5. #82640C2semidirect
6. #82413C2semidirect
7. #82365C2semidirect
8. #75865C2semidirect
9. #75842C2semidirect
10. #75681C2semidirect
11. #75526C2semidirect
12. #75359C2semidirect
13. #75339C2semidirect
14. #75318C2semidirect
15. #75002C2semidirect
16. #74892C2semidirect
17. #74888C2semidirect
18. #74886C2semidirect
19. D3×#386C2semidirect
20. #74814C2semidirect
21. #74803C2semidirect
22. #74714C2semidirect
23. #74677C2semidirect
24. #73600C2semidirect
25. #73578C2semidirect
26. #73574C2semidirect
27. #73561C2semidirect
28. #73499C2semidirect
29. #73486C2semidirect
30. #73368C2semidirect
31. #73349C2semidirect
37. C2×C3×C4×D4C22semidirect
38. C2×C3×C4×D4C22semidirect
40. C2×#939C22semidirect
43. C2×#935C22semidirect
46. C2×#929C22semidirect
47. C2×#929C22semidirect
50. C2×C4×#67C22semidirect
51. C2×C4×#67C22semidirect
53. C2×#924C22semidirect
56. C2×#898C22semidirect
58. C2×#896C22semidirect
60. C2×#885C22semidirect
61. C2×#884C22semidirect
68. C2×#878C22semidirect
69. C2×#877C22semidirect
70. C2×#876C22semidirect
71. C2×#875C22semidirect
72. C2×C4×D12C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
78. C3×#387C22semidirect
79. C3×#387C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. C3×C4×C22⋊C4C22semidirect
86. C3×C4×C22⋊C4C22semidirect
87. C2×C3×#95C22semidirect
90. #5223C22semidirect
91. #5222C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5211C22semidirect
99. #5210C22semidirect
100. #5210C22semidirect
101. C4×#217C22semidirect
102. #4993C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
107. #4983C22semidirect
108. #4982C22semidirect
109. #4978C22semidirect
111. #4961C22semidirect
113. #4960C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
125. #4956C22semidirect
129. #4951C22semidirect
130. #4949C22semidirect
131. #4948C22semidirect
132. #4947C22semidirect
133. #4947C22semidirect
134. #4946C22semidirect
135. #4945C22semidirect
136. #4944C22semidirect
137. #4942C22semidirect
138. #4942C22semidirect
139. Dic3×C22⋊C4C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. #4933C22semidirect
148. #4929C22semidirect
149. #4928C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4673C22semidirect
156. #4672C22semidirect
158. #4670C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
166. #4667C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
169. #4666C22semidirect
175. #4665C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2364D3semidirect
375. #883D4semidirect
456. C2×C4×D4C2×D3semidirect
457. C2×C4×D4C2×D3semidirect
520. #388C2×D3semidirect
521. #388C2×D3semidirect
526. #387C2×D3semidirect
527. #387C2×D3semidirect
547. #386C2×D3semidirect
548. #386C2×D3semidirect
574. C4×C22⋊C4C2×D3semidirect
575. C4×C22⋊C4C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
579. C2×#95C2×D3semidirect
609. C2×C3×D4#41semidirect
736. C3×C22⋊C4C2×D4semidirect
752. #217C2×D4semidirect
788. C4⋊Dic3C2×D4semidirect
804. Dic3⋊C4C2×D4semidirect
1254. C2×D4#235semidirect
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×#55562
C2×#55472
C3×#23642
#826812
#826402
#824132
#823652
#758652
#758422
#756812
#755262
#753592
#753392
#753182
#750022
#748922
#748882
#748862
D3×#3862
#748142
#748032
#747142
#746772
#736002
#735782
#735742
#735612
#734992
#734862
#733682
#733492
#590073