Finite Group Databasebeta

← #11080661

Subgroups — #11080661

Order 768.

2616 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic, complemented
3C3×#2724C211yesmaximal, characteristic, complemented
4#82908C211yesmaximal, characteristic, complemented
5#82879C211yesmaximal, characteristic, complemented
6#77960C211yesmaximal, characteristic, complemented
7#77821C211yesmaximal, characteristic, complemented
8#77784C211yesmaximal, characteristic, complemented
9#77744C211yesmaximal, characteristic, complemented
10#77696C211yesmaximal, characteristic, complemented
11#77690C211yesmaximal, characteristic, complemented
12#77541C211yesmaximal, characteristic, complemented
13#77535C211yesmaximal, characteristic, complemented
14#77491C211yesmaximal, characteristic, complemented
15#77484C211yesmaximal, characteristic, complemented
16#77465C211yesmaximal, characteristic, complemented
17#77463C211yesmaximal, characteristic, complemented
18#76463C211yesmaximal, characteristic, complemented
19#76301C211yesmaximal, characteristic, complemented
20#76196C211yesmaximal, characteristic, complemented
21#76096C211yesmaximal, characteristic, complemented
22#76059C211yesmaximal, characteristic, complemented
23#75996C211yesmaximal, characteristic, complemented
24#74655C211yesmaximal, characteristic, complemented
25#74636C211yesmaximal, characteristic, complemented
26#74538C211yesmaximal, characteristic, complemented
27#74486C211yesmaximal, characteristic, complemented
28#74404C211yesmaximal, characteristic, complemented
29#74404C211yesmaximal, characteristic, complemented
30#74384C211yesmaximal, characteristic, complemented
31#74379C211yesmaximal, characteristic, complemented
32#39884—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C23×C4×D3C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C22×Dic3⋊C4C2211yescharacteristic, complemented
42#5656—28no—
43#5655—28no—
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic, complemented
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic, complemented
56C2×#888C2211yescharacteristic, complemented
57C2×#887C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic, complemented
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#877C2211yescharacteristic
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#397C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#390C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86#5221C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5210C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic, complemented
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic, complemented
99#4991C2211yescharacteristic, complemented
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4988C2211yescharacteristic
111#4987C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4983C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4975C2211yescharacteristic, complemented
119#4972C2211yescharacteristic, complemented
120#4972C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4953C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic
140#4952C2211yescharacteristic
141#4946C2211yescharacteristic, complemented
142#4943C2211yescharacteristic, complemented
143#4942C2211yescharacteristic
144#4942C2211yescharacteristic, complemented
145Dic3×C22⋊C4C2211yescharacteristic
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147#4940C2211yescharacteristic
148#4939C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4676C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic
159#4670C2211yescharacteristic
160#4669C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4664C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#525—31no—
192#2848—31no—
193#2724—31no—
194#2724D311yescharacteristic, complemented
195#2701—31no—
196#2701—31no—
197#2697—31no—
198#2697—31no—
199#2678—31no—
200#2678—31no—
201#2630—31no—
202#2630—31no—
203#2602—31no—
204#2602—31no—
205#2579—31no—
206#2579—31no—
207#2538—31no—
208#2536—31no—
209#2499—31no—
210#2485—31no—
211#2429—31no—
212#2429—31no—
213#2422—31no—
214#2420—31no—
215#2407—31no—
216#2407—31no—
217#2341—31no—
218#2322—31no—
219#2322—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×#237—42no—
235C2×#237—42no—
236C2×#237D418yescomplemented
237C2×#235—24no—
238C2×#235—42no—
239C2×#235—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3—42no—
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×#123—24no—
259C3×#123—24no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊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×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#939—24no—
289#937—24no—
290#929—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×Dic3⋊C4—24no—
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#896—24no—
360#896—24no—
361#896—24no—
362#896—42no—
363#896—42no—
364#894—24no—
365#894—24no—
366#893—24no—
367#893—24no—
368#893—42no—
369#893—42no—
370D3×C4⋊C4—24no—
371#888—24no—
372#887—42no—
373#886—24no—
374#886—24no—
375#884—24no—
376#884—24no—
377#884—24no—
378#883—24no—
379#882—24no—
380#882—24no—
381#67⋊C4—24no—
382#67⋊C4—24no—
383#67⋊C4—24no—
384#67⋊C4—24no—
385#878—24no—
386#877—24no—
387C4×Dic6—42no—
388C3×#95C2311yescharacteristic
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
420C22×#41—31no—
421C22×#41—31no—
422C24×C4—31no—
423#547—68no—
424C2×C4⋊Q8—31no—
425#525—68no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123C2×D311yescharacteristic
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×C4×Q8—31no—
448C2×C4×Q8—31no—
449C2×C4×D4—31no—
450C2×C4×D4—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×#117—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398C2×D311yescharacteristic, complemented
465#398C2×D311yescharacteristic, complemented
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397C2×D311yescharacteristic
473#397C2×D311yescharacteristic
474#397C2×D311yescharacteristic, complemented
475#397C2×D311yescharacteristic, complemented
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#391—31no—
501#391—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390C2×D311yescharacteristic
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#389C2×D311yescharacteristic, complemented
517#389C2×D311yescharacteristic, complemented
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—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#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385C2×D311yescharacteristic
555#385C2×D311yescharacteristic
556#385C2×D311yescharacteristic, complemented
557#385C2×D311yescharacteristic, complemented
558#384—31no—
559#382—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4C2×D414yes—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67C2×D414yes—
629C2×#67C2×D414yes—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3C2×D414yes—
638C22×Dic3C2×D414yes—
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651#237—416no—
652#235—416no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—416no—
692C2×C4×D3C2×D414yes—
693C2×Dic6—22no—
694C2×Dic6—22no—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6C2×D414yes—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C42—41no—
721#217—22no—
722#217—22no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4#4114yescomplemented
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—41no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C25—31no—
795C2×#41—38no—
796C2×#41—64no—
797C2×#41—122no—
798C2×#41—122no—
799C2×#41—122no—
800C2×#41—122no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4C22×D311yescharacteristic
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—64no—
827C23×C4—122no—
828C23×C4—122no—
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C4⋊Q8—64no—
832#123—24no—
833#123—24no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840C22⋊Q8—64no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—122no—
845C22⋊Q8—122no—
846#121—64no—
847#121—64no—
848#121—64no—
849#121—64no—
850#120—64no—
851#120—64no—
852#120—64no—
853C4×Q8—122no—
854C4×Q8—122no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—64no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862C4×D4—122no—
863#117—64no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—64no—
890C2×C4⋊C4—64no—
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42C22×D311yescharacteristic
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992#95C22×D311yescharacteristic
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3C22×D412yes—
1006C23×C3C22×D412yes—
1007C23×C3C2511yescharacteristic
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3C22×D412yes—
1041C22×D3C2×#4112yes—
1042C22×D32−1+412yes—
1043C3×D4—44no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—44no—
1082C2×C3×C4—44no—
1083C2×C3×C4C22×D412yes—
1084C2×C3×C4C2×#4112yes—
1085#67—28no—
1086#67—44no—
1087#67—44no—
1088#67—44no—
1089#67—44no—
1090#67—44no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—28no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—44no—
1123C2×Dic3—44no—
1124C2×Dic3C22×D412yes—
1125C2×Dic3C22×D412yes—
1126C2×Dic3C22×D412yes—
1127C2×Dic3C2×#4112yes—
1128C2×Dic3H(5,𝔽2)12yes—
1129C2×Dic3H(5,𝔽2)12yes—
1130D12—44no—
1131D12—44no—
1132D12—44no—
1133D12—44no—
1134D12—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—44no—
1142C4×D3—44no—
1143Dic6—28no—
1144Dic6—44no—
1145C24—31no—
1146C24—31no—
1147C24—31no—
1148C24—31no—
1149C24—62no—
1150C24—62no—
1151C24—62no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24C23×D311yescharacteristic
1157C24C23×D311yescharacteristic
1158#41—1216no—
1159#41—1216no—
1160C2×Q8—34no—
1161C2×Q8—62no—
1162C2×Q8—62no—
1163C2×Q8—62no—
1164C2×Q8—62no—
1165C2×Q8—62no—
1166C2×D4—34no—
1167C2×D4—34no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4D3×D414yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—31no—
1205C22×C4—34no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—34no—
1210C22×C4—34no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—1216no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—34no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C42—41no—
1354C42—62no—
1355C42—62no—
1356C42—62no—
1357C42—62no—
1358C42—62no—
1359C42—121no—
1360C42—121no—
1361C42—121no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3C23×D411yescharacteristic
1377C22×C3C22×#4111yescharacteristic
1378C22×C3C2×H(5,𝔽2)11yescharacteristic
1379C22×C3C2×H(5,𝔽2)11yescharacteristic
1380C22×C3C2×2−1+411yescharacteristic
1381C22×C3#58511yescharacteristic
1382C22×C3#58511yescharacteristic
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—22no—
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—416no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C3×C4—22no—
1413C3×C4—22no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3#53414yes—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—32no—
1450C23—32no—
1451C23—32no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23C2×D3×D412yes—
1485C23C2×D3×D412yes—
1486C23C24×D311yescharacteristic
1487Q8—68no—
1488Q8—124no—
1489D4—44no—
1490D4—68no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—124no—
1497D4—124no—
1498D4—124no—
1499D4—124no—
1500D4—124no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—32no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—68no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4C2×D3×D412yes—
1588C2×C4D3×#4112yes—
1589C2×C3—42no—
1590C2×C3—42no—
1591C2×C3C2×#53411yescharacteristic
1592C2×C3D4×#4111yescharacteristic
1593C2×C3#348911yescharacteristic
1594C2×C3#350611yescharacteristic
1595C2×C3#352011yescharacteristic
1596C2×C3#353911yescharacteristic
1597C2×C3#354111yescharacteristic
1598D3—42no—
1599D3—42no—
1600D3—42no—
1601D3—81no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—62no—
1625C22—1216no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22C22×D3×D411yescharacteristic
1646C22C2×D3×#4111yescharacteristic
1647C22#596411yescharacteristic
1648C22D3×H(5,𝔽2)11yescharacteristic
1649C22D3×H(5,𝔽2)11yescharacteristic
1650C22D3×2−1+411yescharacteristic
1651C22#596811yescharacteristic
1652C4—22no—
1653C4—22no—
1654C4—34no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—62no—
1667C4—62no—
1668C4—62no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C3#3988411yescharacteristic, complemented, Sylow
1678C2—42no—
1679C2—42no—
1680C2—122no—
1681C2—122no—
1682C2—122no—
1683C2—241no—
1684C2D3×#53411yescharacteristic
1685C2#8643611yescharacteristic
1686C2#8645611yescharacteristic
1687C2#8667411yescharacteristic
1688C2#8667711yescharacteristic
1689C2#8706311yescharacteristic
1690C2#8711811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2724C2
hypercenter#2724D3
hypocenterC3#39884
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2724

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5656C2semidirect
3. C3×#2724C2semidirect
4. #82908C2semidirect
5. #82879C2semidirect
6. #77960C2semidirect
7. #77821C2semidirect
8. #77784C2semidirect
9. #77744C2semidirect
10. #77696C2semidirect
11. #77690C2semidirect
12. #77541C2semidirect
13. #77535C2semidirect
14. #77491C2semidirect
15. #77484C2semidirect
16. #77465C2semidirect
17. #77463C2semidirect
18. #76463C2semidirect
19. #76301C2semidirect
20. #76196C2semidirect
21. #76096C2semidirect
22. #76059C2semidirect
23. #75996C2semidirect
24. #74655C2semidirect
25. #74636C2semidirect
26. #74538C2semidirect
27. #74486C2semidirect
28. #74404C2semidirect
29. #74404C2semidirect
30. #74384C2semidirect
31. #74379C2semidirect
34. C22×#235C22semidirect
41. C22×Dic3⋊C4C22semidirect
48. C2×#896C22semidirect
50. C2×#894C22semidirect
55. C2×D3×C4⋊C4C22semidirect
56. C2×#888C22semidirect
57. C2×#887C22semidirect
59. C2×#886C22semidirect
69. C2×#67⋊C4C22semidirect
72. C2×C4×Dic6C22semidirect
73. C3×#398C22semidirect
74. C3×#398C22semidirect
77. C3×#397C22semidirect
78. C3×#397C22semidirect
80. C3×#389C22semidirect
81. C3×#389C22semidirect
84. C3×#385C22semidirect
85. C3×#385C22semidirect
95. #4994C22semidirect
98. #4991C22semidirect
99. #4991C22semidirect
102. #4990C22semidirect
103. #4990C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
111. #4987C22semidirect
112. #4983C22semidirect
113. #4983C22semidirect
114. #4982C22semidirect
115. #4980C22semidirect
116. #4976C22semidirect
117. #4976C22semidirect
118. #4975C22semidirect
119. #4972C22semidirect
120. #4972C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
141. #4946C22semidirect
142. #4943C22semidirect
144. #4942C22semidirect
146. Dic3×C22⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
152. #4676C22semidirect
153. #4675C22semidirect
154. #4674C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
166. #4668C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
178. #4664C22semidirect
179. #4657C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4650C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
194. #2724D3semidirect
236. C2×#237D4semidirect
464. #398C2×D3semidirect
465. #398C2×D3semidirect
474. #397C2×D3semidirect
475. #397C2×D3semidirect
516. #389C2×D3semidirect
517. #389C2×D3semidirect
556. #385C2×D3semidirect
557. #385C2×D3semidirect
760. (C2×D3)⋊C4#41semidirect
1677. C3#39884semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#56562
C3×#27242
#829082
#828792
#779602
#778212
#777842
#777442
#776962
#776902
#775412
#775352
#774912
#774842
#774652
#774632
#764632
#763012
#761962
#760962
#760592
#759962
#746552
#746362
#745382
#744862
#744042
#743842
#743792
#398843