Finite Group Databasebeta

← #11097555

Subgroups — #11097555

Order 768.

2548 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5593C211yesmaximal, characteristic, complemented
2C2×#5552C211yesmaximal, characteristic, complemented
3C3×#2424C211yesmaximal, characteristic, complemented
4#82709C211yesmaximal, characteristic, complemented
5#82685C211yesmaximal, characteristic, complemented
6#82671C211yesmaximal, characteristic, complemented
7#82670C211yesmaximal, characteristic, complemented
8#82592C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#82586C211yesmaximal, characteristic, complemented
11#82361C211yesmaximal, characteristic, complemented
12#82109C211yesmaximal, characteristic, complemented
13C2×#4947C211yesmaximal, characteristic, complemented
14#77449C211yesmaximal, characteristic, complemented
15#77440C211yesmaximal, characteristic, complemented
16#77126C211yesmaximal, characteristic, complemented
17#77035C211yesmaximal, characteristic, complemented
18#77005C211yesmaximal, characteristic, complemented
19#76996C211yesmaximal, characteristic, complemented
20#76745C211yesmaximal, characteristic, complemented
21#76715C211yesmaximal, characteristic, complemented
22#76378C211yesmaximal, characteristic, complemented
23#76365C211yesmaximal, characteristic, complemented
24#75692C211yesmaximal, characteristic, complemented
25#75653C211yesmaximal, characteristic, complemented
26#74896C211yesmaximal, characteristic, complemented
27#74812C211yesmaximal, characteristic, complemented
28#74752C211yesmaximal, characteristic, complemented
29#74689C211yesmaximal, characteristic, complemented
30#74424C211yesmaximal, characteristic, complemented
31#74394C211yesmaximal, characteristic, complemented
32#40489—31nomaximal, Sylow
33C22×#235C2211yescharacteristic, complemented
34C23×Dic6C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×#938C2211yescharacteristic
53C2×#936C2211yescharacteristic
54C2×#935C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×#930C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic
58C2×#924C2211yescharacteristic, complemented
59#5593—28no—
60#5552—28no—
61C2×#896C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic
64C2×#885C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#875C2211yescharacteristic, complemented
77C2×C4×Dic6C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic
81C3×#392C2211yescharacteristic
82C3×#390C2211yescharacteristic
83C3×#388C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic, complemented
98#5221C2211yescharacteristic
99#5221C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#5213C2211yescharacteristic
105#5212C2211yescharacteristic, complemented
106#5210C2211yescharacteristic
107#5210C2211yescharacteristic, complemented
108C2×C3⋊#95C2211yescharacteristic
109C2×C3⋊#95C2211yescharacteristic
110C2×C3⋊#95C2211yescharacteristic
111#4994C2211yescharacteristic, complemented
112#4992C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4986C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123Dic3×C4⋊C4C2211yescharacteristic, complemented
124#4973C2211yescharacteristic, complemented
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4952C2211yescharacteristic
145#4952C2211yescharacteristic
146#4952C2211yescharacteristic, complemented
147#4951C2211yescharacteristic
148#4951C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4950C2211yescharacteristic
151#4948C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic
154#4948C2211yescharacteristic, complemented
155#4947C2211yescharacteristic
156#4947C2211yescharacteristic
157#4947C2211yescharacteristic
158#4947C2211yescharacteristic
159#4947C2211yescharacteristic
160#4947C2211yescharacteristic
161#4947C2211yescharacteristic
162#4947C2211yescharacteristic
163#4947C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4944C2211yescharacteristic
168#4944C2211yescharacteristic
169#4944C2211yescharacteristic, complemented
170#4944C2211yescharacteristic, complemented
171#4942C2211yescharacteristic
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#548—31no—
191C2×#538—31no—
192#2819—31no—
193#2814—31no—
194#2712—31no—
195#2712—31no—
196#2702—31no—
197#2702—31no—
198#2681—31no—
199#2681—31no—
200#2676—31no—
201#2676—31no—
202#2662—31no—
203#2639—31no—
204#2637—31no—
205#2617—31no—
206#2615—31no—
207#2592—31no—
208#2543—31no—
209#2543—31no—
210#2543—31no—
211#2450—31no—
212#2450—31no—
213#2430—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2424D311yescharacteristic, complemented
218#2409—31no—
219C2×#393—31no—
220#2349—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×#235—24no—
248C2×#235—42no—
249C2×#235—42no—
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6—24no—
256C22×Dic6—42no—
257C22×Dic6—42no—
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#121—42no—
264C3×#121—42no—
265C3×#120—24no—
266C3×#120—42no—
267C3×C4×D4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289#953—24no—
290#953—42no—
291C2×#217—24no—
292C2×#217—42no—
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
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318#939—24no—
319#939—24no—
320#939—24no—
321#939—24no—
322#939—42no—
323#938—24no—
324#938—42no—
325#938—42no—
326#936—24no—
327#935—24no—
328D4×Dic3—24no—
329#930—24no—
330C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352#924—24no—
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×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#896—24no—
373#896—24no—
374#885—24no—
375#885—24no—
376#885—24no—
377#884—42no—
378#883—24no—
379#67⋊C4—24no—
380#67⋊C4—42no—
381#67⋊C4D418yescomplemented
382#879—24no—
383#879—24no—
384#878—24no—
385#878—42no—
386#878—42no—
387#875—24no—
388C4×Dic6—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×Q8—31no—
425#548—68no—
426#538—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#121C2×D311yescharacteristic
454C2×#120—31no—
455C2×#120—31no—
456C2×#120C2×D311yescharacteristic
457C2×#120C2×D311yescharacteristic
458C2×C4×Q8—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4C2×D311yescharacteristic
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396C2×D311yescharacteristic
486#395—31no—
487#395—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#394—31no—
501#394C2×D311yescharacteristic
502#394C2×D311yescharacteristic
503#393—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393—31no—
512#393—31no—
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392C2×D311yescharacteristic
524#391—31no—
525#391—31no—
526#391—31no—
527#391—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390C2×D311yescharacteristic
532#389—31no—
533#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388C2×D311yescharacteristic
544#387—31no—
545#387—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#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic
570#382—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575C4×C4⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
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—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—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
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
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—41no—
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×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67C2×D414yes—
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×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3C2×D414yes—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693#235—416no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—41no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3C2×D414yes—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—416no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C2×Dic6—41no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—41no—
727C3×C4⋊C4—41no—
728C3×C4⋊C4—41no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4C2×D414yes—
744C3×C42—22no—
745#217—22no—
746#217—22no—
747#217—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—22no—
758#217—22no—
759#217—22no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
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—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)⋊C4C2×D414yes—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4C2×D414yes—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3C2×D414yes—
810C25C22×D311yescharacteristic
811C2×#41—64no—
812C2×#41—122no—
813C2×#41—122no—
814C22×Q8—31no—
815C22×Q8—31no—
816C22×Q8—31no—
817C22×Q8—31no—
818C22×Q8—31no—
819C22×Q8—64no—
820C22×Q8—122no—
821C22×Q8—122no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C22×D4C22×D311yescharacteristic
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#124—64no—
856#124—64no—
857#124—64no—
858#124—64no—
859#123—64no—
860#123—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—122no—
866C22⋊Q8—122no—
867#121—42no—
868#121—42no—
869#121—64no—
870#121—64no—
871#121—64no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—122no—
876#121—122no—
877#121—122no—
878#121—122no—
879#120—24no—
880#120—42no—
881#120—64no—
882#120—122no—
883C4×Q8—64no—
884C4×D4—24no—
885C4×D4—38no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊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—42no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—122no—
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42C22×D311yescharacteristic
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
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#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
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—44no—
1045C23×C3—44no—
1046C23×C3—44no—
1047C23×C3—82no—
1048C23×C3—82no—
1049C23×C3—82no—
1050C23×C3—82no—
1051C23×C3C22×D412yes—
1052C23×C3H(5,𝔽2)12yes—
1053C23×C32−1+412yes—
1054C23×C3C2511yescharacteristic
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×D3C22×D412yes—
1069C3×D4—44no—
1070C3×D4—44no—
1071C3×D4—82no—
1072C3×D4—82no—
1073C3×D4—82no—
1074C3×D4—82no—
1075C3×D4—82no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
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—44no—
1104C2×C3×C4—44no—
1105C2×C3×C4—82no—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C4H(5,𝔽2)12yes—
1109#67—28no—
1110#67—44no—
1111#67—44no—
1112#67—44no—
1113#67—82no—
1114#67—82no—
1115#67—82no—
1116#67—82no—
1117#67—82no—
1118#67—82no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
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—44no—
1158C2×Dic3—44no—
1159C2×Dic3—82no—
1160C2×Dic3—82no—
1161C2×Dic3—82no—
1162C2×Dic3C22×D412yes—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165C2×Dic3H(5,𝔽2)12yes—
1166D12—44no—
1167C4×D3—44no—
1168C4×D3—44no—
1169C4×D3—82no—
1170C4×D3—82no—
1171Dic6—28no—
1172Dic6—44no—
1173Dic6—44no—
1174Dic6—44no—
1175Dic6—82no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—31no—
1180C24—31no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188C24C23×D311yescharacteristic
1189C24C23×D311yescharacteristic
1190#41—1216no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—62no—
1199C2×Q8—62no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×Q8—121no—
1203C2×Q8—121no—
1204C2×Q8—121no—
1205C2×Q8—121no—
1206C2×Q8—1216no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—34no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
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—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
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—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—34no—
1271C22×C4—34no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
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×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—34no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—34no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
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—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
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⋊C4D3×D414yes—
1400C42—22no—
1401C42—34no—
1402C42—62no—
1403C42—62no—
1404C42—121no—
1405C42—121no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
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—88no—
1441C22×C3#53714yes—
1442C22×C3C23×D411yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3C2×H(5,𝔽2)11yescharacteristic
1445C22×C3C2×H(5,𝔽2)11yescharacteristic
1446C22×C3C2×2−1+411yescharacteristic
1447C22×C3#58511yescharacteristic
1448C22×C3#58511yescharacteristic
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—41no—
1453C2×D3—41no—
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—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473Dic3—22no—
1474Dic3—22no—
1475Dic3—22no—
1476Dic3—22no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
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—32no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
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—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23C2×D3×D412yes—
1541C23#100412yes—
1542C23#101012yes—
1543C23C24×D311yescharacteristic
1544Q8—68no—
1545Q8—124no—
1546Q8—124no—
1547Q8—124no—
1548Q8—242no—
1549D4—44no—
1550D4—44no—
1551D4—68no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—82no—
1556D4—82no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
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—32no—
1595C2×C4—32no—
1596C2×C4—32no—
1597C2×C4—32no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
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—82no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4C2×D3×D412yes—
1649C2×C4C2×D3×D412yes—
1650C2×C4#100412yes—
1651C2×C3—24no—
1652C2×C3—81no—
1653C2×C3—81no—
1654C2×C3—81no—
1655C2×C3—81no—
1656C2×C3C2×#53711yescharacteristic
1657C2×C3#348411yescharacteristic
1658C2×C3#350011yescharacteristic
1659C2×C3#354111yescharacteristic
1660C2×C3#354111yescharacteristic
1661C2×C3#355811yescharacteristic
1662C2×C3#355811yescharacteristic
1663D3—42no—
1664D3—81no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
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—41no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—88no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22#560814yes—
1715C22C22×D3×D411yescharacteristic
1716C22C2×#100411yescharacteristic
1717C22C2×#100411yescharacteristic
1718C22C2×#101011yescharacteristic
1719C22#596411yescharacteristic
1720C22D3×H(5,𝔽2)11yescharacteristic
1721C22#596611yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—62no—
1733C4—62no—
1734C4—62no—
1735C4—62no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4048911yescharacteristic, complemented, Sylow
1747C2—24no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—122no—
1753C2—241no—
1754C2C2×#560811yescharacteristic
1755C2#8605611yescharacteristic
1756C2#8639911yescharacteristic
1757C2#8661811yescharacteristic
1758C2#8662011yescharacteristic
1759C2#8663211yescharacteristic
1760C2#8665511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#40489
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5593C2semidirect
2. C2×#5552C2semidirect
3. C3×#2424C2semidirect
4. #82709C2semidirect
5. #82685C2semidirect
6. #82671C2semidirect
7. #82670C2semidirect
8. #82592C2semidirect
9. #82586C2semidirect
10. #82586C2semidirect
11. #82361C2semidirect
12. #82109C2semidirect
13. C2×#4947C2semidirect
14. #77449C2semidirect
15. #77440C2semidirect
16. #77126C2semidirect
17. #77035C2semidirect
18. #77005C2semidirect
19. #76996C2semidirect
20. #76745C2semidirect
21. #76715C2semidirect
22. #76378C2semidirect
23. #76365C2semidirect
24. #75692C2semidirect
25. #75653C2semidirect
26. #74896C2semidirect
27. #74812C2semidirect
28. #74752C2semidirect
29. #74689C2semidirect
30. #74424C2semidirect
31. #74394C2semidirect
33. C22×#235C22semidirect
58. C2×#924C22semidirect
61. C2×#896C22semidirect
62. C2×#896C22semidirect
64. C2×#885C22semidirect
65. C2×#885C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
76. C2×#875C22semidirect
77. C2×C4×Dic6C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
97. #5222C22semidirect
103. #5220C22semidirect
105. #5212C22semidirect
107. #5210C22semidirect
111. #4994C22semidirect
112. #4992C22semidirect
113. #4990C22semidirect
114. #4989C22semidirect
115. #4987C22semidirect
116. #4987C22semidirect
117. #4986C22semidirect
118. #4983C22semidirect
119. #4982C22semidirect
120. #4982C22semidirect
121. #4981C22semidirect
122. #4976C22semidirect
123. Dic3×C4⋊C4C22semidirect
124. #4973C22semidirect
127. #4961C22semidirect
129. #4960C22semidirect
134. #4959C22semidirect
136. #4958C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
146. #4952C22semidirect
148. #4951C22semidirect
154. #4948C22semidirect
163. #4947C22semidirect
164. #4947C22semidirect
165. #4947C22semidirect
166. #4945C22semidirect
169. #4944C22semidirect
170. #4944C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4673C22semidirect
176. #4669C22semidirect
177. #4668C22semidirect
178. #4668C22semidirect
179. #4665C22semidirect
180. D3×#95C22semidirect
181. #4659C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
217. #2424D3semidirect
381. #67⋊C4D4semidirect
1746. C3#40489semidirect

Maximal subgroups

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

subgroupindex
C2×#55932
C2×#55522
C3×#24242
#827092
#826852
#826712
#826702
#825922
#825862
#823612
#821092
C2×#49472
#774492
#774402
#771262
#770352
#770052
#769962
#767452
#767152
#763782
#763652
#756922
#756532
#748962
#748122
#747522
#746892
#744242
#743942
#404893