Finite Group Databasebeta

← #11633412

Subgroups — #11633412

Order 768.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5671C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2670C211yesmaximal, characteristic, complemented
4#82997C211yesmaximal, characteristic, complemented
5#82967C211yesmaximal, characteristic, complemented
6#82955C211yesmaximal, characteristic, complemented
7#82599C211yesmaximal, characteristic, complemented
8#82595C211yesmaximal, characteristic, complemented
9Dic3×#120C211yesmaximal, characteristic, complemented
10#76943C211yesmaximal, characteristic, complemented
11#76936C211yesmaximal, characteristic, complemented
12#76922C211yesmaximal, characteristic, complemented
13#76921C211yesmaximal, characteristic, complemented
14#76784C211yesmaximal, characteristic, complemented
15#76782C211yesmaximal, characteristic, complemented
16#76689C211yesmaximal, characteristic, complemented
17#76684C211yesmaximal, characteristic, complemented
18#76679C211yesmaximal, characteristic, complemented
19#76670C211yesmaximal, characteristic, complemented
20#76670C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#76354C211yesmaximal, characteristic, complemented
23#76326C211yesmaximal, characteristic, complemented
24#76302C211yesmaximal, characteristic, complemented
25#76301C211yesmaximal, characteristic, complemented
26#75519C211yesmaximal, characteristic, complemented
27#75498C211yesmaximal, characteristic, complemented
28#75482C211yesmaximal, characteristic, complemented
29#75478C211yesmaximal, characteristic, complemented
30#73838C211yesmaximal, characteristic, complemented
31#73817C211yesmaximal, characteristic, complemented
32#59017—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×#124C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×Q8×Dic3C2211yescharacteristic, complemented
41C2×#944C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic, complemented
45C2×#936C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×D4×Dic3C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic
49C2×D4×Dic3C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52#5671—28no—
53#5586—28no—
54C2×#887C2211yescharacteristic, complemented
55C2×#886C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×#879C2211yescharacteristic
60C2×#879C2211yescharacteristic
61C2×#879C2211yescharacteristic, complemented
62C2×#879C2211yescharacteristic, complemented
63C2×#878C2211yescharacteristic
64C2×#878C2211yescharacteristic
65C2×#878C2211yescharacteristic, complemented
66C2×#877C2211yescharacteristic
67C2×#877C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic, complemented
70C2×C4×Dic6C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#394C2211yescharacteristic
73C3×#394C2211yescharacteristic
74C3×#393C2211yescharacteristic
75C3×#392C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#390C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5231C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic, complemented
96#5221C2211yescharacteristic
97#5221C2211yescharacteristic
98#5221C2211yescharacteristic
99#5221C2211yescharacteristic, complemented
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4981C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4975C2211yescharacteristic, complemented
110Dic3×C4⋊C4C2211yescharacteristic, complemented
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4956C2211yescharacteristic, complemented
125#4951C2211yescharacteristic
126#4951C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic, complemented
136#4949C2211yescharacteristic
137#4949C2211yescharacteristic
138#4948C2211yescharacteristic
139#4948C2211yescharacteristic
140#4947C2211yescharacteristic
141#4947C2211yescharacteristic, complemented
142#4945C2211yescharacteristic
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4943C2211yescharacteristic
153#4943C2211yescharacteristic
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168#4940C2211yescharacteristic, complemented
169C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
170C4×C4⋊Dic3C2211yescharacteristic, complemented
171C4×C4⋊Dic3C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173C4×Dic3⋊C4C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4661C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#556—31no—
191C2×#525—31no—
192#2685—31no—
193#2685—31no—
194#2670—31no—
195#2670D311yescharacteristic, complemented
196#2554—31no—
197#2554—31no—
198#2536—31no—
199#2500—31no—
200#2491—31no—
201#2468—31no—
202#2468—31no—
203#2467—31no—
204#2467—31no—
205#2459—31no—
206#2459—31no—
207#2458—31no—
208#2458—31no—
209#2439—31no—
210#2423—31no—
211#2414—31no—
212#2414—31no—
213#2407—31no—
214#2367—31no—
215#2367—31no—
216#2362—31no—
217#2354—31no—
218#2341—31no—
219C4×#120—31no—
220#2280—31no—
221C25×C3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3—24no—
236C23×Dic3—24no—
237C23×Dic3—42no—
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×#237—24no—
247C2×#237—24no—
248C2×#237—42no—
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#124—24no—
253C3×#124—24no—
254C3×#120—24no—
255C3×#120—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊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×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278#953—24no—
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306Q8×Dic3—24no—
307#944—24no—
308#939—24no—
309#939—24no—
310#939—42no—
311#936—24no—
312#935—24no—
313D4×Dic3—24no—
314D4×Dic3—24no—
315D4×Dic3—24no—
316D4×Dic3—24no—
317D4×Dic3—42no—
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×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#887—42no—
370#886—24no—
371#885—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374#879—24no—
375#879—24no—
376#879—24no—
377#879—24no—
378#878—24no—
379#878—24no—
380#878D418yescomplemented
381#877—24no—
382#877—24no—
383#877—24no—
384#877—42no—
385C4×Dic6—24no—
386C4×Dic6—24no—
387C3×#95C2311yescharacteristic
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
417C22×#41—31no—
418C24×C4—31no—
419#556—68no—
420C2×C4⋊Q8—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124C2×D311yescharacteristic
428C2×#124C2×D311yescharacteristic
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120C2×D311yescharacteristic
440C2×#120C2×D311yescharacteristic
441C2×C4×Q8—31no—
442C2×C4×Q8—31no—
443C2×C4×Q8—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×#117—31no—
453C2×#117—31no—
454C2×#117—31no—
455C2×#117—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#396—31no—
463#396—31no—
464#394—31no—
465#394—31no—
466#394—31no—
467#394—31no—
468#394—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394C2×D311yescharacteristic
477#394C2×D311yescharacteristic
478#393—31no—
479#393—31no—
480#393—31no—
481#393C2×D311yescharacteristic
482#392—31no—
483#392—31no—
484#392—31no—
485#392C2×D311yescharacteristic
486#392C2×D311yescharacteristic
487#392C2×D311yescharacteristic
488#391—31no—
489#391—31no—
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390C2×D311yescharacteristic
503#390C2×D311yescharacteristic
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388C2×D311yescharacteristic
529#388C2×D311yescharacteristic
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#384—31no—
547#382—31no—
548#381—31no—
549#381—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559#379C2×D311yescharacteristic
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊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—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C22×Dic3—22no—
637C22×Dic3—22no—
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—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—416no—
659C22×Dic3C2×D414yes—
660C22×Dic3#4114yes—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676#237—416no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—41no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—41no—
685C2×Dic6C2×D414yes—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4C2×D414yes—
705C3×C22⋊C4#4114yescomplemented
706C3×C42—22no—
707C3×C42—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217C2×D414yes—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3C2×D414yes—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4C2×D414yes—
770Dic3⋊C4C2×D414yes—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25C22×D311yescharacteristic
787C2×#41—64no—
788C2×#41—64no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4C22×D311yescharacteristic
799C22×D4C22×D311yescharacteristic
800C22×D4C22×D311yescharacteristic
801C22×D4C22×D311yescharacteristic
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—64no—
815C23×C4—64no—
816C23×C4—122no—
817C4⋊Q8—64no—
818#126—64no—
819#126—64no—
820#126—64no—
821#126—64no—
822#124—24no—
823#124—24no—
824#124—64no—
825#124—64no—
826#123—64no—
827#123—64no—
828C22⋊Q8—38no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831#121—64no—
832#121—64no—
833#121—122no—
834#120—24no—
835#120—24no—
836#120—64no—
837C4×Q8—64no—
838C4×Q8—64no—
839C4×Q8—64no—
840C4×Q8—122no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847C4×D4—122no—
848#117—64no—
849#117—64no—
850#117—64no—
851#117—122no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42C22×D311yescharacteristic
951C2×C42C22×D311yescharacteristic
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
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#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
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×C3—21no—
1013C23×C3—21no—
1014C23×C3—44no—
1015C23×C3—44no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3—44no—
1021C23×C3C22×D412yes—
1022C23×C3C2×#4112yes—
1023C23×C3C2×#4112yes—
1024C23×C3C2511yescharacteristic
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C3×Q8—44no—
1033C3×D4—44no—
1034C3×D4—44no—
1035C3×D4—44no—
1036C3×D4—44no—
1037C3×D4—44no—
1038C3×D4—44no—
1039C3×D4—82no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
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×C4C22×D412yes—
1067C2×C3×C4C22×D412yes—
1068C2×C3×C4C2×#4112yes—
1069C2×C3×C4C2×#4112yes—
1070#67—44no—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—82no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—28no—
1084C2×Dic3—28no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
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—44no—
1116C2×Dic3—44no—
1117C2×Dic3—44no—
1118C2×Dic3—44no—
1119C2×Dic3—44no—
1120C2×Dic3—44no—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C22×D412yes—
1123C2×Dic3C22×D412yes—
1124C2×Dic3C22×D412yes—
1125C2×Dic3C2×#4112yes—
1126C2×Dic3C2×#4112yes—
1127C2×Dic3H(5,𝔽2)12yes—
1128C4×D3—44no—
1129Dic6—28no—
1130Dic6—44no—
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—31no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144#41—1216no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—34no—
1148C2×Q8—41no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—62no—
1153C2×Q8—121no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
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—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C22×C4—31no—
1191C22×C4—34no—
1192C22×C4—34no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—1216no—
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—34no—
1244C4⋊C4—34no—
1245C4⋊C4—34no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—34no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
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—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4D3×D414yes—
1325C22⋊C4#23714yescomplemented
1326C42—22no—
1327C42—22no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—62no—
1336C42—62no—
1337C42—62no—
1338C42—62no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—416no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
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×C3C23×D411yescharacteristic
1380C22×C3C22×#4111yescharacteristic
1381C22×C3C22×#4111yescharacteristic
1382C22×C3C2×H(5,𝔽2)11yescharacteristic
1383C22×C3#58511yescharacteristic
1384C22×C3#58511yescharacteristic
1385C22×C3#58511yescharacteristic
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—22no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403Dic3—22no—
1404Dic3—22no—
1405Dic3—22no—
1406Dic3—22no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3#54614yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
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—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23C2×D3×D412yes—
1465C23C2×#23712yes—
1466C23D3×#4112yes—
1467C23C24×D311yescharacteristic
1468Q8—44no—
1469Q8—68no—
1470Q8—124no—
1471D4—44no—
1472D4—44no—
1473D4—44no—
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—242no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—32no—
1510C2×C4—32no—
1511C2×C4—32no—
1512C2×C4—32no—
1513C2×C4—32no—
1514C2×C4—32no—
1515C2×C4—32no—
1516C2×C4—68no—
1517C2×C4—68no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
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—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4C2×D3×D412yes—
1564C2×C4C2×D3×D412yes—
1565C2×C4C2×#23712yes—
1566C2×C4C2×#23712yes—
1567C2×C3—42no—
1568C2×C3—42no—
1569C2×C3—42no—
1570C2×C3—81no—
1571C2×C3—81no—
1572C2×C3C2×#54611yescharacteristic
1573C2×C3D4×#4111yescharacteristic
1574C2×C3#347511yescharacteristic
1575C2×C3#348711yescharacteristic
1576C2×C3#349311yescharacteristic
1577C2×C3#350611yescharacteristic
1578C2×C3#354011yescharacteristic
1579D3—81no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—416no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22C22×D3×D411yescharacteristic
1624C22C22×#23711yescharacteristic
1625C22C2×D3×#4111yescharacteristic
1626C22D3×H(5,𝔽2)11yescharacteristic
1627C22#596611yescharacteristic
1628C22#596611yescharacteristic
1629C22#596611yescharacteristic
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—34no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—62no—
1642C4—62no—
1643C4—62no—
1644C4—62no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C3#5901711yescharacteristic, complemented, Sylow
1656C2—42no—
1657C2—42no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—241no—
1662C2#8631511yescharacteristic
1663C2#8631811yescharacteristic
1664C2#8639011yescharacteristic
1665C2D4×#23711yescharacteristic
1666C2#8662711yescharacteristic
1667C2D3×#54611yescharacteristic
1668C2#8708611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2670C2
hypercenter#2670D3
hypocenterC3#59017
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#5671C2semidirect
2. C2×#5586C2semidirect
3. C3×#2670C2semidirect
4. #82997C2semidirect
5. #82967C2semidirect
6. #82955C2semidirect
7. #82599C2semidirect
8. #82595C2semidirect
9. Dic3×#120C2semidirect
10. #76943C2semidirect
11. #76936C2semidirect
12. #76922C2semidirect
13. #76921C2semidirect
14. #76784C2semidirect
15. #76782C2semidirect
16. #76689C2semidirect
17. #76684C2semidirect
18. #76679C2semidirect
19. #76670C2semidirect
20. #76670C2semidirect
21. #76668C2semidirect
22. #76354C2semidirect
23. #76326C2semidirect
24. #76302C2semidirect
25. #76301C2semidirect
26. #75519C2semidirect
27. #75498C2semidirect
28. #75482C2semidirect
29. #75478C2semidirect
30. #73838C2semidirect
31. #73817C2semidirect
40. C2×Q8×Dic3C22semidirect
41. C2×#944C22semidirect
44. C2×#939C22semidirect
54. C2×#887C22semidirect
61. C2×#879C22semidirect
62. C2×#879C22semidirect
65. C2×#878C22semidirect
69. C2×#877C22semidirect
70. C2×C4×Dic6C22semidirect
71. C2×C4×Dic6C22semidirect
85. #5231C22semidirect
86. #5229C22semidirect
95. #5222C22semidirect
99. #5221C22semidirect
103. #5220C22semidirect
104. #4990C22semidirect
105. #4987C22semidirect
106. #4982C22semidirect
107. #4981C22semidirect
108. #4978C22semidirect
109. #4975C22semidirect
110. Dic3×C4⋊C4C22semidirect
114. #4961C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
122. #4957C22semidirect
123. #4957C22semidirect
124. #4956C22semidirect
128. #4951C22semidirect
129. #4951C22semidirect
130. #4951C22semidirect
131. #4951C22semidirect
135. #4950C22semidirect
141. #4947C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
150. #4944C22semidirect
151. #4944C22semidirect
158. #4942C22semidirect
159. #4942C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. #4940C22semidirect
169. C4×(C2×D3)⋊C4C22semidirect
170. C4×C4⋊Dic3C22semidirect
171. C4×C4⋊Dic3C22semidirect
172. #4933C22semidirect
173. C4×Dic3⋊C4C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
176. #4669C22semidirect
177. #4668C22semidirect
178. #4661C22semidirect
179. #4661C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4652C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
195. #2670D3semidirect
380. #878D4semidirect
705. C3×C22⋊C4#41semidirect
1325. C22⋊C4#237semidirect
1655. C3#59017semidirect

Maximal subgroups

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

subgroupindex
C2×#56712
C2×#55862
C3×#26702
#829972
#829672
#829552
#825992
#825952
Dic3×#1202
#769432
#769362
#769222
#769212
#767842
#767822
#766892
#766842
#766792
#766702
#766682
#763542
#763262
#763022
#763012
#755192
#754982
#754822
#754782
#738382
#738172
#590173