Finite Group Databasebeta

← #11633910

Subgroups — #11633910

Order 768.

2854 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5668C211yesmaximal, characteristic, complemented
2C2×#5599C211yesmaximal, characteristic, complemented
3C3×#2686C211yesmaximal, characteristic, complemented
4#82984C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#77465C211yesmaximal, characteristic, complemented
7#77463C211yesmaximal, characteristic, complemented
8#77250C211yesmaximal, characteristic, complemented
9#77189C211yesmaximal, characteristic, complemented
10#76944C211yesmaximal, characteristic, complemented
11#76907C211yesmaximal, characteristic, complemented
12#76906C211yesmaximal, characteristic, complemented
13#76903C211yesmaximal, characteristic, complemented
14#76900C211yesmaximal, characteristic, complemented
15#76894C211yesmaximal, characteristic, complemented
16#76864C211yesmaximal, characteristic, complemented
17#76799C211yesmaximal, characteristic, complemented
18#75921C211yesmaximal, characteristic, complemented
19#75452C211yesmaximal, characteristic, complemented
20#75391C211yesmaximal, characteristic, complemented
21#74941C211yesmaximal, characteristic, complemented
22#74699C211yesmaximal, characteristic, complemented
23#74698C211yesmaximal, characteristic, complemented
24#74679C211yesmaximal, characteristic, complemented
25#74672C211yesmaximal, characteristic, complemented
26#74404C211yesmaximal, characteristic, complemented
27#74394C211yesmaximal, characteristic, complemented
28#74121C211yesmaximal, characteristic, complemented
29#74066C211yesmaximal, characteristic, complemented
30#74011C211yesmaximal, characteristic, complemented
31#73935C211yesmaximal, characteristic, complemented
32#59039—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#944C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51#5668—28no—
52#5599—28no—
53C2×#896C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#887C2211yescharacteristic
59C2×#886C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×#875C2211yescharacteristic
79C2×C42×D3C2211yescharacteristic
80C3×#397C2211yescharacteristic
81C3×#395C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#393C2211yescharacteristic
86C3×#388C2211yescharacteristic
87C3×#387C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#385C2211yescharacteristic
91C3×#381C2211yescharacteristic
92C3×#380C2211yescharacteristic
93#5231C2211yescharacteristic
94#5230C2211yescharacteristic
95#5223C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5213C2211yescharacteristic
99C2×C3⋊#95C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4987C2211yescharacteristic
108#4979C2211yescharacteristic
109#4976C2211yescharacteristic
110#4976C2211yescharacteristic
111#4976C2211yescharacteristic
112#4975C2211yescharacteristic
113#4975C2211yescharacteristic
114Dic3×C4⋊C4C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4952C2211yescharacteristic
139#4950C2211yescharacteristic
140#4947C2211yescharacteristic
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic
143#4943C2211yescharacteristic
144#4942C2211yescharacteristic
145#4942C2211yescharacteristic
146#4942C2211yescharacteristic
147Dic3×C22⋊C4C2211yescharacteristic
148#4940C2211yescharacteristic
149#4933C2211yescharacteristic
150#4675C2211yescharacteristic
151#4674C2211yescharacteristic
152#4673C2211yescharacteristic
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4671C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4667C2211yescharacteristic
160#4667C2211yescharacteristic
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4666C2211yescharacteristic
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic
176D3×#95C2211yescharacteristic
177D3×#95C2211yescharacteristic
178#4656C2211yescharacteristic
179#4650C2211yescharacteristic
180#4650C2211yescharacteristic
181#4649C2211yescharacteristic
182#4649C2211yescharacteristic
183#4649C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#550—31no—
191C2×#532—31no—
192#2686—31no—
193#2686—31no—
194#2686—31no—
195#2686D311yescharacteristic, complemented
196#2567—31no—
197#2563—31no—
198#2537—31no—
199#2537—31no—
200#2445—31no—
201#2445—31no—
202#2430—31no—
203#2430—31no—
204#2430—31no—
205#2430—31no—
206#2428—31no—
207#2428—31no—
208#2422—31no—
209#2422—31no—
210#2420—31no—
211#2420—31no—
212#2407—31no—
213#2407—31no—
214#2366—31no—
215#2349—31no—
216#2349—31no—
217#2339—31no—
218#2339—31no—
219C4×C22⋊Q8—31no—
220C4×#121—31no—
221C22×C3×Q8C2311yescharacteristic
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
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C2×#239—24no—
245C2×#239—42no—
246C2×#239—42no—
247C2×#237—24no—
248C2×#237—24no—
249C2×#237—24no—
250C2×#237—42no—
251C2×#237—42no—
252C2×#237—42no—
253C2×#235—24no—
254C2×#235—24no—
255C2×#235—42no—
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#124—24no—
275C3×#121—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#944—24no—
303#940—24no—
304#940—24no—
305#940D418yescomplemented
306#939—24no—
307#939—24no—
308#939—42no—
309#935—42no—
310#930—42no—
311C4×#67—24no—
312C4×#67—24no—
313C4×#67—42no—
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#896—24no—
371#895—24no—
372#895—42no—
373#894—42no—
374#893—42no—
375#887—24no—
376#886—42no—
377#884—24no—
378#884—24no—
379#884—24no—
380#884—24no—
381#884—24no—
382#884—24no—
383#884—24no—
384#884—42no—
385#883—42no—
386#67⋊C4—24no—
387#67⋊C4—24no—
388#67⋊C4—24no—
389#67⋊C4—24no—
390#67⋊C4—24no—
391#67⋊C4—24no—
392#67⋊C4—24no—
393#67⋊C4—42no—
394#67⋊C4—42no—
395#875—24no—
396C42×D3—24no—
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431C22×#41—31no—
432C22×#41—31no—
433#550—68no—
434#532—68no—
435C2×C4⋊Q8—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#124—31no—
440C2×#124C2×D311yescharacteristic
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121C2×D311yescharacteristic
461C2×C4×Q8—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C22×C42—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic
480#395—31no—
481#395—31no—
482#395—31no—
483#395C2×D311yescharacteristic
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#394—31no—
497#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic
500#393—31no—
501#393—31no—
502#393—31no—
503#393C2×D311yescharacteristic
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391—31no—
509#391—31no—
510#391—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#389—31no—
522#389—31no—
523#389—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#387—31no—
527#387C2×D311yescharacteristic
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
556#384—31no—
557#384—31no—
558#382—31no—
559#382—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381C2×D311yescharacteristic
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380C2×D311yescharacteristic
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C2×#95—31no—
583C2×#95—31no—
584C2×#95—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4C2×D414yes—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—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
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67C2×D414yes—
656C2×#67C2×D414yes—
657C2×#67C2×D414yes—
658C2×#67C2×D414yes—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686#239—416no—
687#237—416no—
688#237—416no—
689#235—416no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12C2×D414yes—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×Dic6—22no—
739C2×Dic6—22no—
740C2×Dic6—22no—
741C2×Dic6—41no—
742C2×Dic6—41no—
743C2×Dic6#4114yescomplemented
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—41no—
747C3×C4⋊C4—41no—
748C3×C4⋊C4—41no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—41no—
758C3×C22⋊C4—41no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C42—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4#4114yescomplemented
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—22no—
825C4×Dic3C2×D414yes—
826C2×#41—64no—
827C2×#41—64no—
828C2×#41—64no—
829C2×#41—64no—
830C2×#41—64no—
831C2×#41—64no—
832C2×#41—122no—
833C2×#41—122no—
834C2×#41—122no—
835C2×#41—122no—
836C2×#41—122no—
837C2×#41—122no—
838C22×Q8—31no—
839C22×Q8—31no—
840C22×Q8C22×D311yescharacteristic
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4C22×D311yescharacteristic
878C23×C4C22×D311yescharacteristic
879C4⋊Q8—64no—
880#127—38no—
881#127—64no—
882#127—64no—
883#124—24no—
884#124—64no—
885#123—122no—
886#123—122no—
887#123—122no—
888#123—122no—
889C22⋊Q8—64no—
890#121—24no—
891#121—64no—
892#121—64no—
893#121—64no—
894#121—64no—
895#121—64no—
896#121—64no—
897#121—64no—
898#121—64no—
899#121—64no—
900#121—64no—
901#121—122no—
902#121—122no—
903#121—122no—
904#121—122no—
905C4×Q8—64no—
906C4×D4—64no—
907C4×D4—64no—
908C4×D4—64no—
909C4×D4—64no—
910C4×D4—64no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—122no—
916C4×D4—122no—
917C4×D4—122no—
918C4×D4—122no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—64no—
1001C2×C42C22×D311yescharacteristic
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033#95C22×D311yescharacteristic
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3C22×D412yes—
1054C23×C3C22×D412yes—
1055C23×C3C2511yescharacteristic
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3C22×D412yes—
1082C22×D3C22×D412yes—
1083C22×D3H(5,𝔽2)12yes—
1084C3×Q8—44no—
1085C3×D4—44no—
1086C3×D4—44no—
1087C3×D4—82no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—44no—
1122C2×C3×C4—82no—
1123C2×C3×C4C22×D412yes—
1124C2×C3×C4C2×#4112yes—
1125C2×C3×C4C2×#4112yes—
1126#67—28no—
1127#67—28no—
1128#67—28no—
1129#67—28no—
1130#67—44no—
1131#67—44no—
1132#67—44no—
1133#67—44no—
1134#67—44no—
1135#67—44no—
1136#67—82no—
1137#67—82no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—44no—
1166C2×Dic3—44no—
1167C2×Dic3—44no—
1168C2×Dic3—44no—
1169C2×Dic3—82no—
1170C2×Dic3C22×D412yes—
1171C2×Dic3C22×D412yes—
1172C2×Dic3C2×#4112yes—
1173C2×Dic3C2×#4112yes—
1174C2×Dic3C2×#4112yes—
1175C2×Dic3C2×#4112yes—
1176C2×Dic3H(5,𝔽2)12yes—
1177C2×Dic3H(5,𝔽2)12yes—
1178C2×Dic32−1+412yes—
1179D12—44no—
1180D12—44no—
1181D12—44no—
1182D12—44no—
1183D12—44no—
1184D12—82no—
1185C4×D3—28no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—28no—
1196Dic6—44no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—31no—
1201C24C23×D311yescharacteristic
1202C24C23×D311yescharacteristic
1203C24C23×D311yescharacteristic
1204#41—1216no—
1205#41—1216no—
1206#41—1216no—
1207#41—1216no—
1208C2×Q8—22no—
1209C2×Q8—34no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—62no—
1215C2×Q8—121no—
1216C2×Q8—121no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—34no—
1221C2×D4—34no—
1222C2×D4—34no—
1223C2×D4—34no—
1224C2×D4—34no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4D3×D414yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
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—121no—
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×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—34no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C42—22no—
1428C42—34no—
1429C42—62no—
1430C42—62no—
1431C42—62no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C42—62no—
1436C42—62no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3C23×D411yescharacteristic
1459C22×C3C22×#4111yescharacteristic
1460C22×C3C22×#4111yescharacteristic
1461C22×C3C2×H(5,𝔽2)11yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3C2×H(5,𝔽2)11yescharacteristic
1464C22×C3C2×2−1+411yescharacteristic
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C3×C4—22no—
1494C3×C4—22no—
1495C3×C4—22no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4—41no—
1505Dic3—22no—
1506Dic3—22no—
1507Dic3—22no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3#54614yes—
1516Dic3#54714yes—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—32no—
1537C23—32no—
1538C23—32no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23C2×D3×D412yes—
1565C23C2×D3×D412yes—
1566C23C24×D311yescharacteristic
1567Q8—44no—
1568Q8—68no—
1569Q8—124no—
1570D4—44no—
1571D4—44no—
1572D4—68no—
1573D4—68no—
1574D4—68no—
1575D4—68no—
1576D4—82no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—124no—
1581D4—124no—
1582D4—124no—
1583D4—124no—
1584D4—124no—
1585D4—124no—
1586D4—124no—
1587D4—124no—
1588D4—242no—
1589D4—242no—
1590D4—242no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—32no—
1625C2×C4—32no—
1626C2×C4—32no—
1627C2×C4—32no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—32no—
1631C2×C4—32no—
1632C2×C4—32no—
1633C2×C4—44no—
1634C2×C4—68no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—82no—
1663C2×C4—124no—
1664C2×C4—124no—
1665C2×C4—124no—
1666C2×C4—124no—
1667C2×C4—124no—
1668C2×C4—124no—
1669C2×C4—124no—
1670C2×C4—124no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—242no—
1675C2×C4—242no—
1676C2×C4—242no—
1677C2×C4C2×D3×D412yes—
1678C2×C4D3×#4112yes—
1679C2×C4D3×#4112yes—
1680C2×C3—42no—
1681C2×C3—42no—
1682C2×C3—81no—
1683C2×C3C2×#54611yescharacteristic
1684C2×C3C2×#54711yescharacteristic
1685C2×C3#348311yescharacteristic
1686C2×C3#348411yescharacteristic
1687C2×C3#351911yescharacteristic
1688C2×C3#352211yescharacteristic
1689C2×C3#354811yescharacteristic
1690D3—42no—
1691D3—42no—
1692D3—42no—
1693D3—81no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—62no—
1716C22—62no—
1717C22—62no—
1718C22—62no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22C22×D3×D411yescharacteristic
1744C22C2×D3×#4111yescharacteristic
1745C22C2×D3×#4111yescharacteristic
1746C22D3×H(5,𝔽2)11yescharacteristic
1747C22D3×H(5,𝔽2)11yescharacteristic
1748C22D3×H(5,𝔽2)11yescharacteristic
1749C22D3×2−1+411yescharacteristic
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—34no—
1754C4—34no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—62no—
1765C4—62no—
1766C4—62no—
1767C4—121no—
1768C4—121no—
1769C4—121no—
1770C4—121no—
1771C4—121no—
1772C4—121no—
1773C4—121no—
1774C3#5903911yescharacteristic, complemented, Sylow
1775C2—42no—
1776C2—42no—
1777C2—81no—
1778C2—122no—
1779C2—122no—
1780C2—122no—
1781C2—241no—
1782C2#8630811yescharacteristic
1783C2#8641711yescharacteristic
1784C2#8655811yescharacteristic
1785C2D3×#54611yescharacteristic
1786C2D3×#54711yescharacteristic
1787C2#8695911yescharacteristic
1788C2#8709911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2686C2
hypercenter#2686D3
hypocenterC3#59039
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. C2×#5668C2semidirect
2. C2×#5599C2semidirect
3. C3×#2686C2semidirect
4. #82984C2semidirect
5. #82651C2semidirect
6. #77465C2semidirect
7. #77463C2semidirect
8. #77250C2semidirect
9. #77189C2semidirect
10. #76944C2semidirect
11. #76907C2semidirect
12. #76906C2semidirect
13. #76903C2semidirect
14. #76900C2semidirect
15. #76894C2semidirect
16. #76864C2semidirect
17. #76799C2semidirect
18. #75921C2semidirect
19. #75452C2semidirect
20. #75391C2semidirect
21. #74941C2semidirect
22. #74699C2semidirect
23. #74698C2semidirect
24. #74679C2semidirect
25. #74672C2semidirect
26. #74404C2semidirect
27. #74394C2semidirect
28. #74121C2semidirect
29. #74066C2semidirect
30. #74011C2semidirect
31. #73935C2semidirect
195. #2686D3semidirect
305. #940D4semidirect
743. C2×Dic6#41semidirect
816. Dic3⋊C4#41semidirect
1774. C3#59039semidirect

Maximal subgroups

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

subgroupindex
C2×#56682
C2×#55992
C3×#26862
#829842
#826512
#774652
#774632
#772502
#771892
#769442
#769072
#769062
#769032
#769002
#768942
#768642
#767992
#759212
#754522
#753912
#749412
#746992
#746982
#746792
#746722
#744042
#743942
#741212
#740662
#740112
#739352
#590393