Finite Group Databasebeta

← #11079878

Subgroups — #11079878

Order 768.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5832C211yesmaximal, characteristic, complemented
2C2×#5559C211yesmaximal, characteristic, complemented
3C3×#2407C211yesmaximal, characteristic, complemented
4#84091C211yesmaximal, characteristic, complemented
5#82826C211yesmaximal, characteristic, complemented
6#82766C211yesmaximal, characteristic, complemented
7#82715C211yesmaximal, characteristic, complemented
8#82650C211yesmaximal, characteristic, complemented
9#82327C211yesmaximal, characteristic, complemented
10#77132C211yesmaximal, characteristic, complemented
11#77130C211yesmaximal, characteristic, complemented
12#76945C211yesmaximal, characteristic, complemented
13#76902C211yesmaximal, characteristic, complemented
14#76727C211yesmaximal, characteristic, complemented
15#76714C211yesmaximal, characteristic, complemented
16#76688C211yesmaximal, characteristic, complemented
17#76671C211yesmaximal, characteristic, complemented
18#76652C211yesmaximal, characteristic, complemented
19#76510C211yesmaximal, characteristic, complemented
20#76378C211yesmaximal, characteristic, complemented
21#76312C211yesmaximal, characteristic, complemented
22#74907C211yesmaximal, characteristic, complemented
23#74896C211yesmaximal, characteristic, complemented
24#74869C211yesmaximal, characteristic, complemented
25#74753C211yesmaximal, characteristic, complemented
26#74594C211yesmaximal, characteristic, complemented
27#74487C211yesmaximal, characteristic, complemented
28#74404C211yesmaximal, characteristic, complemented
29#74381C211yesmaximal, characteristic, complemented
30#74034C211yesmaximal, characteristic, complemented
31#74011C211yesmaximal, characteristic, complemented
32#39853—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38#5832—28no—
39C2×#947C2211yescharacteristic
40C2×#944C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#938C2211yescharacteristic
53C2×#936C2211yescharacteristic
54C2×#936C2211yescharacteristic
55C2×#929C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic
62C22×C4×Dic3C2211yescharacteristic
63#5559—28no—
64C2×#896C2211yescharacteristic
65C2×#893C2211yescharacteristic
66C2×#887C2211yescharacteristic
67C2×#885C2211yescharacteristic
68C2×#885C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#883C2211yescharacteristic
74C2×#883C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×#878C2211yescharacteristic
78C2×#878C2211yescharacteristic
79C2×#875C2211yescharacteristic
80C2×C4×Dic6C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#392C2211yescharacteristic
84C3×#392C2211yescharacteristic
85C3×#391C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#385C2211yescharacteristic
90C3×#385C2211yescharacteristic
91C3×#380C2211yescharacteristic
92#5231C2211yescharacteristic
93#5230C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic
106#5213C2211yescharacteristic
107#5210C2211yescharacteristic
108#5210C2211yescharacteristic
109#5210C2211yescharacteristic
110C2×C3⋊#95C2211yescharacteristic
111#4994C2211yescharacteristic
112#4994C2211yescharacteristic
113#4993C2211yescharacteristic
114#4991C2211yescharacteristic
115#4991C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4989C2211yescharacteristic
119#4989C2211yescharacteristic
120#4987C2211yescharacteristic
121#4981C2211yescharacteristic
122#4978C2211yescharacteristic
123#4976C2211yescharacteristic
124#4976C2211yescharacteristic
125#4976C2211yescharacteristic
126#4976C2211yescharacteristic
127Dic3×C4⋊C4C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4958C2211yescharacteristic
139#4958C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4953C2211yescharacteristic
150#4951C2211yescharacteristic
151#4951C2211yescharacteristic
152#4949C2211yescharacteristic
153#4948C2211yescharacteristic
154#4948C2211yescharacteristic
155#4947C2211yescharacteristic
156#4947C2211yescharacteristic
157#4946C2211yescharacteristic
158#4946C2211yescharacteristic
159#4944C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164#4940C2211yescharacteristic
165#4933C2211yescharacteristic
166#4675C2211yescharacteristic
167#4673C2211yescharacteristic
168#4672C2211yescharacteristic
169#4671C2211yescharacteristic
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177D3×#95C2211yescharacteristic
178#4657C2211yescharacteristic
179#4656C2211yescharacteristic
180#4653C2211yescharacteristic
181#4652C2211yescharacteristic
182#4650C2211yescharacteristic
183#4649C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#559—31no—
191C2×#532—31no—
192#2850—31no—
193#2712—31no—
194#2712—31no—
195#2676—31no—
196#2676—31no—
197#2672—31no—
198#2672—31no—
199#2671—31no—
200#2671—31no—
201#2630—31no—
202#2630—31no—
203#2580—31no—
204#2544—31no—
205#2544—31no—
206#2541—31no—
207#2452—31no—
208#2451—31no—
209#2430—31no—
210#2430—31no—
211#2428—31no—
212#2428—31no—
213#2427—31no—
214#2426—31no—
215#2407—31no—
216#2407D311yescharacteristic, complemented
217#2349—31no—
218#2325—31no—
219#2325—31no—
220C4×C22⋊Q8—31no—
221C2×C3×#41—24no—
222C2×C3×#41—42no—
223C2×C3×#41—42no—
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#235—24no—
252C2×#235—42no—
253C2×#235—42no—
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×C22⋊Q8—42no—
266C3×#121—42no—
267C3×C4×D4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
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
302#947—24no—
303#944—24no—
304#940—24no—
305#940—24no—
306#940—42no—
307#939—24no—
308#939—24no—
309#939—24no—
310#939—24no—
311#939—24no—
312#939—42no—
313#939—42no—
314#939—42no—
315#938—42no—
316#936—24no—
317#936—24no—
318#929—24no—
319#929—24no—
320C4×#67—24no—
321C4×#67—24no—
322C4×#67—24no—
323C4×#67—24no—
324C4×#67D418yescomplemented
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3—24no—
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#896—42no—
380#893—24no—
381#887—24no—
382#885—24no—
383#885—24no—
384#885—42no—
385#884—24no—
386#884—42no—
387#884—42no—
388#883—24no—
389#883—24no—
390#67⋊C4—42no—
391#67⋊C4—42no—
392#878—24no—
393#878—42no—
394#875—24no—
395C4×Dic6—24no—
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C22×#41C2×D311yescharacteristic
428#559—68no—
429#532—68no—
430C2×C4⋊Q8—31no—
431C2×#127—31no—
432C2×#127—31no—
433C2×#127—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic
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×#121—31no—
461C2×#121C2×D311yescharacteristic
462C2×C4×Q8—31no—
463C2×C4×Q8—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×D4C2×D311yescharacteristic
473C22×C42—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—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#394—31no—
498#394—31no—
499#394—31no—
500#394C2×D311yescharacteristic
501#394C2×D311yescharacteristic
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392C2×D311yescharacteristic
513#392C2×D311yescharacteristic
514#391—31no—
515#391—31no—
516#391—31no—
517#391—31no—
518#391C2×D311yescharacteristic
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390C2×D311yescharacteristic
525#389—31no—
526#389—31no—
527#389—31no—
528#389—31no—
529#389—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385C2×D311yescharacteristic
569#385C2×D311yescharacteristic
570#382—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380C2×D311yescharacteristic
576C4×C4⋊C4—31no—
577C4×C4⋊C4—31no—
578C4×C4⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C3×#41—416no—
591C2×C3×Q8—22no—
592C2×C3×Q8—22no—
593C2×C3×Q8—41no—
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—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
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—
611C2×C3×D4—41no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2×D414yes—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
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—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67C2×D414yes—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696#235—416no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3C2×D414yes—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—22no—
724C2×Dic6—22no—
725C2×Dic6—22no—
726C2×Dic6—22no—
727C2×Dic6—22no—
728C2×Dic6—41no—
729C2×Dic6—41no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4—41no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C42—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217C2×D414yes—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4C2×D414yes—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4C2×D414yes—
807Dic3⋊C4#4114yescomplemented
808C4×Dic3—22no—
809C4×Dic3—22no—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3—22no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3C2×D414yes—
817C2×#41—24no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—64no—
821C2×#41—122no—
822C2×#41—122no—
823C22×Q8—31no—
824C22×Q8—31no—
825C22×Q8—31no—
826C22×Q8C22×D311yescharacteristic
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C4⋊Q8—64no—
862#127—64no—
863#127—64no—
864#127—122no—
865#124—64no—
866#124—64no—
867#124—64no—
868#124—64no—
869#124—64no—
870#124—64no—
871#124—122no—
872#123—64no—
873#123—64no—
874#123—64no—
875#123—64no—
876C22⋊Q8—42no—
877C22⋊Q8—64no—
878C22⋊Q8—122no—
879C22⋊Q8—122no—
880#121—42no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—122no—
888#121—122no—
889#121—122no—
890#121—122no—
891#121—122no—
892#121—122no—
893C4×Q8—64no—
894C4×Q8—64no—
895C4×D4—24no—
896C4×D4—38no—
897C4×D4—64no—
898C4×D4—64no—
899C4×D4—64no—
900C4×D4—64no—
901C4×D4—64no—
902C4×D4—122no—
903C4×D4—122no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—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⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—31no—
984C2×C42—31no—
985C2×C42—31no—
986C2×C42—31no—
987C2×C42—31no—
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—64no—
991C2×C42C22×D311yescharacteristic
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#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#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
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×C3C22×D412yes—
1049C23×C3H(5,𝔽2)12yes—
1050C23×C3C2511yescharacteristic
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—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×D3C22×D412yes—
1072C3×Q8—44no—
1073C3×D4—44no—
1074C3×D4—44no—
1075C3×D4—44no—
1076C3×D4—44no—
1077C3×D4—82no—
1078C3×D4—82no—
1079C2×C3×C4—28no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—44no—
1110C2×C3×C4—44no—
1111C2×C3×C4—82no—
1112C2×C3×C4C22×D412yes—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4C2×#4112yes—
1115C2×C3×C4H(5,𝔽2)12yes—
1116#67—28no—
1117#67—44no—
1118#67—44no—
1119#67—44no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—82no—
1124#67—82no—
1125#67—82no—
1126#67—82no—
1127#67—82no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—44no—
1161C2×Dic3—44no—
1162C2×Dic3—82no—
1163C2×Dic3—82no—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3C22×D412yes—
1167C2×Dic3C2×#4112yes—
1168C2×Dic3C2×#4112yes—
1169C2×Dic3H(5,𝔽2)12yes—
1170C2×Dic32−1+412yes—
1171D12—44no—
1172D12—44no—
1173D12—82no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—82no—
1177C4×D3—82no—
1178C4×D3—82no—
1179Dic6—44no—
1180Dic6—44no—
1181Dic6—44no—
1182C24—31no—
1183C24—31no—
1184C24—31no—
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188C24C23×D311yescharacteristic
1189#41—416no—
1190#41—1216no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—62no—
1199C2×Q8—62no—
1200C2×Q8—62no—
1201C2×Q8—121no—
1202C2×Q8—121no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—34no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—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—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—34no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
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—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4D3×D414yes—
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—34no—
1332C4⋊C4—34no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C4⋊C4—121no—
1353C4⋊C4—121no—
1354C4⋊C4—121no—
1355C4⋊C4—121no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—34no—
1363C22⋊C4—34no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C42—22no—
1407C42—34no—
1408C42—62no—
1409C42—62no—
1410C42—62no—
1411C42—62no—
1412C42—62no—
1413C42—62no—
1414C42—62no—
1415C42—62no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3C23×D411yescharacteristic
1445C22×C3C22×#4111yescharacteristic
1446C22×C3C2×H(5,𝔽2)11yescharacteristic
1447C22×C3C2×H(5,𝔽2)11yescharacteristic
1448C22×C3C2×H(5,𝔽2)11yescharacteristic
1449C22×C3C2×2−1+411yescharacteristic
1450C22×C3#58511yescharacteristic
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C3×C4—22no—
1473C3×C4—22no—
1474C3×C4—22no—
1475C3×C4—22no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483Dic3—22no—
1484Dic3—22no—
1485Dic3—22no—
1486Dic3—22no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3#53714yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—32no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23C2×D3×D412yes—
1544C23#100412yes—
1545C23C24×D311yescharacteristic
1546Q8—44no—
1547Q8—124no—
1548Q8—124no—
1549Q8—124no—
1550D4—44no—
1551D4—44no—
1552D4—44no—
1553D4—44no—
1554D4—68no—
1555D4—82no—
1556D4—82no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—124no—
1563D4—124no—
1564D4—124no—
1565D4—242no—
1566D4—242no—
1567D4—242no—
1568D4—242no—
1569D4—242no—
1570D4—242no—
1571C2×C4—28no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—32no—
1602C2×C4—32no—
1603C2×C4—32no—
1604C2×C4—32no—
1605C2×C4—32no—
1606C2×C4—32no—
1607C2×C4—32no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—82no—
1643C2×C4—124no—
1644C2×C4—124no—
1645C2×C4—124no—
1646C2×C4—124no—
1647C2×C4—242no—
1648C2×C4—242no—
1649C2×C4—242no—
1650C2×C4—242no—
1651C2×C4—242no—
1652C2×C4C2×D3×D412yes—
1653C2×C4C2×D3×D412yes—
1654C2×C4#100412yes—
1655C2×C4D3×#4112yes—
1656C2×C3—42no—
1657C2×C3—42no—
1658C2×C3—81no—
1659C2×C3—81no—
1660C2×C3C2×#53711yescharacteristic
1661C2×C3D4×#4111yescharacteristic
1662C2×C3#348411yescharacteristic
1663C2×C3#350811yescharacteristic
1664C2×C3#352211yescharacteristic
1665C2×C3#355411yescharacteristic
1666C2×C3#355811yescharacteristic
1667D3—42no—
1668D3—81no—
1669D3—81no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22C22×D3×D411yescharacteristic
1720C22C2×#100411yescharacteristic
1721C22C2×#100411yescharacteristic
1722C22C2×D3×#4111yescharacteristic
1723C22#596411yescharacteristic
1724C22D3×H(5,𝔽2)11yescharacteristic
1725C22D3×2−1+411yescharacteristic
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—34no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—62no—
1739C4—62no—
1740C4—62no—
1741C4—62no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C4—121no—
1749C4—121no—
1750C3#3985311yescharacteristic, complemented, Sylow
1751C2—42no—
1752C2—42no—
1753C2—81no—
1754C2—81no—
1755C2—122no—
1756C2—241no—
1757C2—241no—
1758C2#8591911yescharacteristic
1759C2#8603711yescharacteristic
1760C2D3×#53711yescharacteristic
1761C2#8665511yescharacteristic
1762C2#8668811yescharacteristic
1763C2#8672911yescharacteristic
1764C2#8677111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2407C2
hypercenter#2407D3
hypocenterC3#39853
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C2×#5832C2semidirect
2. C2×#5559C2semidirect
3. C3×#2407C2semidirect
4. #84091C2semidirect
5. #82826C2semidirect
6. #82766C2semidirect
7. #82715C2semidirect
8. #82650C2semidirect
9. #82327C2semidirect
10. #77132C2semidirect
11. #77130C2semidirect
12. #76945C2semidirect
13. #76902C2semidirect
14. #76727C2semidirect
15. #76714C2semidirect
16. #76688C2semidirect
17. #76671C2semidirect
18. #76652C2semidirect
19. #76510C2semidirect
20. #76378C2semidirect
21. #76312C2semidirect
22. #74907C2semidirect
23. #74896C2semidirect
24. #74869C2semidirect
25. #74753C2semidirect
26. #74594C2semidirect
27. #74487C2semidirect
28. #74404C2semidirect
29. #74381C2semidirect
30. #74034C2semidirect
31. #74011C2semidirect
216. #2407D3semidirect
324. C4×#67D4semidirect
807. Dic3⋊C4#41semidirect
1750. C3#39853semidirect

Maximal subgroups

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

subgroupindex
C2×#58322
C2×#55592
C3×#24072
#840912
#828262
#827662
#827152
#826502
#823272
#771322
#771302
#769452
#769022
#767272
#767142
#766882
#766712
#766522
#765102
#763782
#763122
#749072
#748962
#748692
#747532
#745942
#744872
#744042
#743812
#740342
#740112
#398533