Finite Group Databasebeta

← #11080671

Subgroups — #11080671

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×#5547C211yesmaximal, characteristic, complemented
3C3×#2630C211yesmaximal, characteristic, complemented
4#82902C211yesmaximal, characteristic, complemented
5#82326C211yesmaximal, characteristic, complemented
6#77984C211yesmaximal, characteristic, complemented
7#77744C211yesmaximal, characteristic, complemented
8#77595C211yesmaximal, characteristic, complemented
9#77463C211yesmaximal, characteristic, complemented
10#77439C211yesmaximal, characteristic, complemented
11#77437C211yesmaximal, characteristic, complemented
12#77314C211yesmaximal, characteristic, complemented
13#77287C211yesmaximal, characteristic, complemented
14#77146C211yesmaximal, characteristic, complemented
15#77136C211yesmaximal, characteristic, complemented
16#77020C211yesmaximal, characteristic, complemented
17#76943C211yesmaximal, characteristic, complemented
18#76900C211yesmaximal, characteristic, complemented
19#76894C211yesmaximal, characteristic, complemented
20#76771C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#75898C211yesmaximal, characteristic, complemented
23#75543C211yesmaximal, characteristic, complemented
24#75370C211yesmaximal, characteristic, complemented
25#75025C211yesmaximal, characteristic, complemented
26#74907C211yesmaximal, characteristic, complemented
27#74659C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74593C211yesmaximal, characteristic, complemented
30#73949C211yesmaximal, characteristic, complemented
31#73877C211yesmaximal, characteristic, complemented
32#39884—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×#235C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C22×Dic3⋊C4C2211yescharacteristic, complemented
47#5655—28no—
48#5547—28no—
49C2×#896C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic, complemented
55C2×#888C2211yescharacteristic, complemented
56C2×#887C2211yescharacteristic, complemented
57C2×#887C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic, complemented
71C2×C4×D12C2211yescharacteristic
72C2×#872C2211yescharacteristic
73C3×#398C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#396C2211yescharacteristic
76C3×#396C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#380C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic
93C4×#217C2211yescharacteristic, complemented
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4992C2211yescharacteristic
98#4992C2211yescharacteristic
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4988C2211yescharacteristic
106#4988C2211yescharacteristic
107#4984C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4975C2211yescharacteristic, complemented
116#4972C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic, complemented
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4952C2211yescharacteristic, complemented
139#4951C2211yescharacteristic
140#4951C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic, complemented
145#4946C2211yescharacteristic, complemented
146#4945C2211yescharacteristic
147#4945C2211yescharacteristic
148#4945C2211yescharacteristic, complemented
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic, complemented
151#4943C2211yescharacteristic, complemented
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic
156#4933C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4676C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4675C2211yescharacteristic
162#4675C2211yescharacteristic, complemented
163#4675C2211yescharacteristic, complemented
164#4674C2211yescharacteristic
165#4670C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, 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#2724—31no—
195#2701—31no—
196#2701—31no—
197#2697—31no—
198#2697—31no—
199#2678—31no—
200#2678—31no—
201#2630—31no—
202#2630D311yescharacteristic, complemented
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
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×#237—24no—
239C2×#237—42no—
240C2×#237—42no—
241C2×#235—42no—
242C2×#235—42no—
243C2×#235D418yescomplemented
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3—24no—
247C22×C4×D3—42no—
248C22×C4×D3—42no—
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×C4×D4—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×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊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×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—24no—
295#939—24no—
296#937—24no—
297#937—24no—
298#935—24no—
299D4×Dic3—42no—
300C4×#67—24no—
301C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#896—24no—
365#896—24no—
366#896—42no—
367#894—24no—
368#894—24no—
369D3×C4⋊C4—24no—
370#888—24no—
371#887—42no—
372#887—42no—
373#886—24no—
374#884—24no—
375#884—24no—
376#883—24no—
377#883—24no—
378#883—24no—
379#882—24no—
380#67⋊C4—24no—
381#67⋊C4—24no—
382#67⋊C4—42no—
383#878—24no—
384#878—24no—
385#878—42no—
386C4×D12—24no—
387#872—24no—
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×#123—31no—
433C2×#123C2×D311yescharacteristic, complemented
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×D4C2×D311yescharacteristic
457C2×#117—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398C2×D311yescharacteristic, complemented
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397C2×D311yescharacteristic, complemented
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396C2×D311yescharacteristic
483#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
494#394C2×D311yescharacteristic
495#394C2×D311yescharacteristic, complemented
496#392—31no—
497#392—31no—
498#392—31no—
499#392C2×D311yescharacteristic
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#390—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#389—31no—
517#389—31no—
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#388C2×D311yescharacteristic, complemented
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
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#385—31no—
555#385—31no—
556#385—31no—
557#385C2×D311yescharacteristic
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#380C2×D311yescharacteristic, complemented
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
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4C2×D414yes—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67C2×D414yes—
637C2×#67C2×D414yes—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663#237—416no—
664#235—416no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12C2×D414yes—
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—416no—
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×D3C2×D414yes—
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—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C42—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217#4114yescomplemented
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—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
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—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765Dic3⋊C4—22no—
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—22no—
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—41no—
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×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
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—64no—
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—24no—
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—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—64no—
893C2×C4⋊C4—64no—
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⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
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#95—31no—
984#95—31no—
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×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3C22×D412yes—
1013C23×C3C2×#4112yes—
1014C23×C3C2511yescharacteristic
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×D3C22×D412yes—
1042C22×D32−1+412yes—
1043C3×D4—44no—
1044C3×D4—44no—
1045C3×D4—44no—
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—44no—
1081C2×C3×C4—44no—
1082C2×C3×C4C22×D412yes—
1083C2×C3×C4C22×D412yes—
1084#67—28no—
1085#67—44no—
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—21no—
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—21no—
1123C2×Dic3—21no—
1124C2×Dic3—44no—
1125C2×Dic3—44no—
1126C2×Dic3—44no—
1127C2×Dic3—44no—
1128C2×Dic3C22×D412yes—
1129C2×Dic3C22×D412yes—
1130C2×Dic3C2×#4112yes—
1131C2×Dic3C2×#4112yes—
1132C2×Dic3H(5,𝔽2)12yes—
1133C2×Dic3H(5,𝔽2)12yes—
1134D12—44no—
1135D12—44no—
1136C4×D3—28no—
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—62no—
1149C24—62no—
1150C24—62no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24C23×D311yescharacteristic
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—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—34no—
1171C2×D4—34no—
1172C2×D4—34no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
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—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
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×D4—121no—
1202C22×C4—22no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—34no—
1208C22×C4—34no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—62no—
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×C4D3×D414yes—
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—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
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—121no—
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—34no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
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—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
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—22no—
1354C42—62no—
1355C42—62no—
1356C42—62no—
1357C42—62no—
1358C42—121no—
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×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3C23×D411yescharacteristic
1384C22×C3C22×#4111yescharacteristic
1385C22×C3C2×H(5,𝔽2)11yescharacteristic
1386C22×C3C2×H(5,𝔽2)11yescharacteristic
1387C22×C3C2×2−1+411yescharacteristic
1388C22×C3#58511yescharacteristic
1389C22×C3#58511yescharacteristic
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—22no—
1393C2×D3—22no—
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—416no—
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—
1424Dic3—22no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—41no—
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—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—32no—
1457C23—32no—
1458C23—32no—
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—
1485C23D3×#4112yes—
1486C23C24×D311yescharacteristic
1487Q8—68no—
1488Q8—124no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—68no—
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—32no—
1536C2×C4—32no—
1537C2×C4—32no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—68no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
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×C4C2×D3×D412yes—
1589C2×C3—42no—
1590C2×C3—42no—
1591C2×C3—81no—
1592C2×C3C2×#53411yescharacteristic
1593C2×C3D4×#4111yescharacteristic
1594C2×C3#348911yescharacteristic
1595C2×C3#350611yescharacteristic
1596C2×C3#352011yescharacteristic
1597C2×C3#353911yescharacteristic
1598C2×C3#354111yescharacteristic
1599D3—42no—
1600D3—42no—
1601D3—42no—
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—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—62no—
1632C22—1216no—
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
1650C22#596611yescharacteristic
1651C22D3×2−1+411yescharacteristic
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—62no—
1666C4—62no—
1667C4—62no—
1668C4—121no—
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—81no—
1681C2—122no—
1682C2—122no—
1683C2—122no—
1684C2#8603711yescharacteristic
1685C2D3×#53411yescharacteristic
1686C2#8638011yescharacteristic
1687C2#8639111yescharacteristic
1688C2#8645611yescharacteristic
1689C2#8647311yescharacteristic
1690C2#8653111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2630C2
hypercenter#2630D3
hypocenterC3#39884
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5547C2semidirect
3. C3×#2630C2semidirect
4. #82902C2semidirect
5. #82326C2semidirect
6. #77984C2semidirect
7. #77744C2semidirect
8. #77595C2semidirect
9. #77463C2semidirect
10. #77439C2semidirect
11. #77437C2semidirect
12. #77314C2semidirect
13. #77287C2semidirect
14. #77146C2semidirect
15. #77136C2semidirect
16. #77020C2semidirect
17. #76943C2semidirect
18. #76900C2semidirect
19. #76894C2semidirect
20. #76771C2semidirect
21. #76668C2semidirect
22. #75898C2semidirect
23. #75543C2semidirect
24. #75370C2semidirect
25. #75025C2semidirect
26. #74907C2semidirect
27. #74659C2semidirect
28. #74655C2semidirect
29. #74593C2semidirect
30. #73949C2semidirect
31. #73877C2semidirect
33. C22×#237C22semidirect
36. C2×C3×#123C22semidirect
46. C22×Dic3⋊C4C22semidirect
54. C2×D3×C4⋊C4C22semidirect
55. C2×#888C22semidirect
56. C2×#887C22semidirect
57. C2×#887C22semidirect
63. C2×#883C22semidirect
67. C2×#67⋊C4C22semidirect
70. C2×#878C22semidirect
73. C3×#398C22semidirect
74. C3×#397C22semidirect
76. C3×#396C22semidirect
79. C3×#394C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
85. C3×#380C22semidirect
89. #5222C22semidirect
93. C4×#217C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
107. #4984C22semidirect
108. #4981C22semidirect
109. #4981C22semidirect
110. #4978C22semidirect
111. #4976C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4975C22semidirect
116. #4972C22semidirect
119. #4961C22semidirect
123. #4959C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
138. #4952C22semidirect
140. #4951C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
144. #4948C22semidirect
145. #4946C22semidirect
148. #4945C22semidirect
150. #4944C22semidirect
151. #4943C22semidirect
153. #4942C22semidirect
154. #4942C22semidirect
156. #4933C22semidirect
157. #4933C22semidirect
162. #4675C22semidirect
163. #4675C22semidirect
170. #4668C22semidirect
173. #4667C22semidirect
176. #4666C22semidirect
179. #4664C22semidirect
180. #4661C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4653C22semidirect
184. #4653C22semidirect
185. #4650C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
202. #2630D3semidirect
243. C2×#235D4semidirect
433. C2×#123C2×D3semidirect
465. #398C2×D3semidirect
475. #397C2×D3semidirect
483. #396C2×D3semidirect
495. #394C2×D3semidirect
527. #388C2×D3semidirect
533. #387C2×D3semidirect
568. #380C2×D3semidirect
732. #217#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×#55472
C3×#26302
#829022
#823262
#779842
#777442
#775952
#774632
#774392
#774372
#773142
#772872
#771462
#771362
#770202
#769432
#769002
#768942
#767712
#766682
#758982
#755432
#753702
#750252
#749072
#746592
#746552
#745932
#739492
#738772
#398843