Finite Group Databasebeta

← #11097863

Subgroups — #11097863

Order 768.

2700 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5553C211yesmaximal, characteristic, complemented
3C3×#2456C211yesmaximal, characteristic, complemented
4#82899C211yesmaximal, characteristic, complemented
5#82714C211yesmaximal, characteristic, complemented
6#82709C211yesmaximal, characteristic, complemented
7#82409C211yesmaximal, characteristic, complemented
8#82400C211yesmaximal, characteristic, complemented
9#82370C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77426C211yesmaximal, characteristic, complemented
12#76768C211yesmaximal, characteristic, complemented
13#76765C211yesmaximal, characteristic, complemented
14#76765C211yesmaximal, characteristic, complemented
15#76762C211yesmaximal, characteristic, complemented
16#76744C211yesmaximal, characteristic, complemented
17#76706C211yesmaximal, characteristic, complemented
18#76454C211yesmaximal, characteristic, complemented
19#76356C211yesmaximal, characteristic, complemented
20#75914C211yesmaximal, characteristic, complemented
21#75912C211yesmaximal, characteristic, complemented
22#75652C211yesmaximal, characteristic, complemented
23#75649C211yesmaximal, characteristic, complemented
24#75306C211yesmaximal, characteristic, complemented
25#75001C211yesmaximal, characteristic, complemented
26#74908C211yesmaximal, characteristic, complemented
27#74886C211yesmaximal, characteristic, complemented
28#74756C211yesmaximal, characteristic, complemented
29#74698C211yesmaximal, characteristic, complemented
30#74629C211yesmaximal, characteristic, complemented
31#74606C211yesmaximal, characteristic, complemented
32#40501—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×#123C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic, complemented
53C2×C4×#67C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic, complemented
55#5657—28no—
56#5553—28no—
57C2×#898C2211yescharacteristic
58C2×#897C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#893C2211yescharacteristic
63C2×#893C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×D3×C22⋊C4C2211yescharacteristic
81C2×#879C2211yescharacteristic
82C2×#874C2211yescharacteristic
83C2×C4×Dic6C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic, complemented
88C3×#390C2211yescharacteristic
89C3×#388C2211yescharacteristic
90C3×#388C2211yescharacteristic, complemented
91C3×#387C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic
93C3×#386C2211yescharacteristic, complemented
94C3×#385C2211yescharacteristic, complemented
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic
101#5223C2211yescharacteristic
102#5223C2211yescharacteristic
103#5223C2211yescharacteristic
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5223C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic, complemented
111#5212C2211yescharacteristic, complemented
112C4×#217C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4993C2211yescharacteristic
115#4991C2211yescharacteristic
116#4991C2211yescharacteristic
117#4991C2211yescharacteristic, complemented
118#4990C2211yescharacteristic
119#4989C2211yescharacteristic, complemented
120#4987C2211yescharacteristic, complemented
121#4987C2211yescharacteristic, complemented
122#4984C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4979C2211yescharacteristic, complemented
125#4979C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic, complemented
139#4960C2211yescharacteristic, complemented
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic, complemented
150#4951C2211yescharacteristic
151#4949C2211yescharacteristic
152#4949C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4947C2211yescharacteristic
155#4947C2211yescharacteristic, complemented
156#4944C2211yescharacteristic
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4940C2211yescharacteristic
161#4939C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4673C2211yescharacteristic
168#4672C2211yescharacteristic
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4670C2211yescharacteristic
173#4670C2211yescharacteristic
174#4670C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic
183D3×#95C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#538—31no—
192#2818—31no—
193#2813—31no—
194#2673—31no—
195#2673—31no—
196#2672—31no—
197#2672—31no—
198#2669—31no—
199#2669—31no—
200#2669—31no—
201#2669—31no—
202#2657—31no—
203#2656—31no—
204#2635—31no—
205#2632—31no—
206#2615—31no—
207#2604—31no—
208#2555—31no—
209#2555—31no—
210#2539—31no—
211#2467—31no—
212#2467—31no—
213#2456—31no—
214#2456D311yescharacteristic, complemented
215#2430—31no—
216#2428—31no—
217#2428—31no—
218#2404—31no—
219#2388—31no—
220#2353—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—42no—
252C2×#235—42no—
253C2×#235—42no—
254C2×#235—42no—
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C3×#123—24no—
274C3×#121—42no—
275C3×C4×D4—24no—
276C3×C4×D4—42no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
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
310#940—24no—
311#940—24no—
312#940—42no—
313#940—42no—
314#938—24no—
315#938—42no—
316#938—42no—
317#938—42no—
318#937—24no—
319#937—42no—
320#937—42no—
321#930—24no—
322#930—24no—
323#930—24no—
324C4×#67—24no—
325C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#898—24no—
377#897—24no—
378#895—42no—
379#894—24no—
380#894—42no—
381#893—24no—
382#893D418yescomplemented
383#885—24no—
384#885—24no—
385#885—42no—
386#885—42no—
387#884—24no—
388#884—24no—
389#884—24no—
390#884—24no—
391#884—24no—
392#884—42no—
393#884—42no—
394#884—42no—
395#883—42no—
396#882—24no—
397#882—42no—
398#882—42no—
399D3×C22⋊C4—24no—
400#879—24no—
401#874—24no—
402C4×Dic6—24no—
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—
431#550—68no—
432#538—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#126—31no—
439C2×#126—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123C2×D311yescharacteristic
448C2×C22⋊Q8—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×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121C2×D311yescharacteristic
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×C4×Q8—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4C2×D311yescharacteristic, complemented
478C2×C4×D4C2×D311yescharacteristic, complemented
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#395—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#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—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#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392C2×D311yescharacteristic
534#392C2×D311yescharacteristic
535#392C2×D311yescharacteristic, complemented
536#390—31no—
537#390—31no—
538#390—31no—
539#390C2×D311yescharacteristic
540#389—31no—
541#389—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388C2×D311yescharacteristic
553#388C2×D311yescharacteristic, complemented
554#387—31no—
555#387—31no—
556#387—31no—
557#387C2×D311yescharacteristic, complemented
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386C2×D311yescharacteristic
571#386C2×D311yescharacteristic, complemented
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#383—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584#376—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
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—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
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×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705#235—416no—
706#235—416no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12C2×D414yes—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3C2×D414yes—
754C2×C4×D3C2×D414yes—
755C2×Dic6—22no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—41no—
760C2×Dic6—41no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4C2×D414yes—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C42—22no—
780C3×C42—41no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4C2×D414yes—
823(C2×D3)⋊C4C2×D414yes—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—22no—
827C4⋊Dic3—22no—
828C4⋊Dic3—41no—
829C4⋊Dic3—41no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838C4×Dic3—22no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—64no—
897#127—64no—
898#127—64no—
899#127—122no—
900#127—122no—
901#126—64no—
902#126—64no—
903#124—64no—
904#124—64no—
905#124—122no—
906#124—122no—
907#123—24no—
908#123—64no—
909#123—122no—
910#123—122no—
911C22⋊Q8—64no—
912#121—42no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—122no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927#121—122no—
928#121—122no—
929#120—64no—
930#120—64no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×Q8—64no—
936C4×D4—24no—
937C4×D4—38no—
938C4×D4—42no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—122no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—64no—
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C42—31no—
1019C2×C42—31no—
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42C22×D311yescharacteristic
1025C2×C42C22×D311yescharacteristic
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3C2511yescharacteristic
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—44no—
1115C22×D3—82no—
1116C22×D3—82no—
1117C22×D3—82no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3C22×D412yes—
1122C22×D3C22×D412yes—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—82no—
1126C3×D4—82no—
1127C3×D4—82no—
1128C3×D4—82no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—44no—
1158C2×C3×C4—44no—
1159C2×C3×C4—82no—
1160C2×C3×C4C22×D412yes—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4C22×D412yes—
1163C2×C3×C4H(5,𝔽2)12yes—
1164C2×C3×C4H(5,𝔽2)12yes—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—44no—
1170#67—44no—
1171#67—82no—
1172#67—82no—
1173#67—82no—
1174#67—82no—
1175#67—82no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3C22×D412yes—
1213C2×Dic3C22×D412yes—
1214C2×Dic3H(5,𝔽2)12yes—
1215C2×Dic3H(5,𝔽2)12yes—
1216D12—44no—
1217D12—44no—
1218D12—44no—
1219D12—44no—
1220D12—82no—
1221D12—82no—
1222D12—82no—
1223D12—82no—
1224D12—82no—
1225C4×D3—44no—
1226C4×D3—44no—
1227C4×D3—44no—
1228C4×D3—44no—
1229C4×D3—82no—
1230C4×D3—82no—
1231C4×D3—82no—
1232Dic6—28no—
1233Dic6—82no—
1234C24—31no—
1235C24—31no—
1236C24—31no—
1237C24—31no—
1238C24—31no—
1239C24—62no—
1240C24—121no—
1241C24—121no—
1242C24—121no—
1243C24—121no—
1244C24—121no—
1245C24—121no—
1246C24C23×D311yescharacteristic
1247C24C23×D311yescharacteristic
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250#41—1216no—
1251#41—1216no—
1252C2×Q8—62no—
1253C2×Q8—62no—
1254C2×Q8—62no—
1255C2×Q8—62no—
1256C2×Q8—121no—
1257C2×Q8—121no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—34no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—34no—
1367C22×C4—34no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
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×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4D3×D414yes—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C42—22no—
1485C42—34no—
1486C42—41no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—121no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3C23×D411yescharacteristic
1521C22×C3C2×H(5,𝔽2)11yescharacteristic
1522C22×C3C2×H(5,𝔽2)11yescharacteristic
1523C22×C3C2×H(5,𝔽2)11yescharacteristic
1524C22×C3C2×H(5,𝔽2)11yescharacteristic
1525C22×C3#58511yescharacteristic
1526C22×C3#58511yescharacteristic
1527C2×D3—22no—
1528C2×D3—22no—
1529C2×D3—22no—
1530C2×D3—22no—
1531C2×D3—22no—
1532C2×D3—22no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—88no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—22no—
1567C3×C4—22no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574Dic3—22no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—22no—
1578Dic3—41no—
1579Dic3—41no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3—41no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—32no—
1614C23—32no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—124no—
1649C23—242no—
1650C23—242no—
1651C23—242no—
1652C23—242no—
1653C23—242no—
1654C23—242no—
1655C23C24×D311yescharacteristic
1656Q8—68no—
1657Q8—242no—
1658D4—44no—
1659D4—44no—
1660D4—82no—
1661D4—82no—
1662D4—82no—
1663D4—82no—
1664D4—124no—
1665D4—124no—
1666D4—124no—
1667D4—124no—
1668D4—124no—
1669D4—124no—
1670D4—124no—
1671D4—124no—
1672D4—124no—
1673D4—124no—
1674D4—242no—
1675D4—242no—
1676D4—242no—
1677D4—242no—
1678D4—242no—
1679D4—242no—
1680D4—242no—
1681D4—242no—
1682D4—242no—
1683D4—242no—
1684D4—242no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—32no—
1720C2×C4—32no—
1721C2×C4—32no—
1722C2×C4—32no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—82no—
1755C2×C4—124no—
1756C2×C4—124no—
1757C2×C4—124no—
1758C2×C4—124no—
1759C2×C4—242no—
1760C2×C4—242no—
1761C2×C4—242no—
1762C2×C4C2×D3×D412yes—
1763C2×C4C2×D3×D412yes—
1764C2×C4C2×D3×D412yes—
1765C2×C4#100412yes—
1766C2×C4#100912yes—
1767C2×C3—81no—
1768C2×C3—81no—
1769C2×C3—81no—
1770C2×C3—81no—
1771C2×C3#344911yescharacteristic
1772C2×C3#348411yescharacteristic
1773C2×C3#349811yescharacteristic
1774C2×C3#354211yescharacteristic
1775C2×C3#354211yescharacteristic
1776C2×C3#354611yescharacteristic
1777C2×C3#354611yescharacteristic
1778D3—42no—
1779D3—42no—
1780D3—81no—
1781D3—81no—
1782D3—81no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—62no—
1812C22—62no—
1813C22—62no—
1814C22—62no—
1815C22—62no—
1816C22—62no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22—121no—
1828C22—121no—
1829C22—121no—
1830C22—121no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—248no—
1847C22C22×D3×D411yescharacteristic
1848C22C2×#100411yescharacteristic
1849C22C2×#100911yescharacteristic
1850C22#596411yescharacteristic
1851C22#596411yescharacteristic
1852C22D3×H(5,𝔽2)11yescharacteristic
1853C22D3×H(5,𝔽2)11yescharacteristic
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—62no—
1866C4—62no—
1867C4—62no—
1868C4—62no—
1869C4—121no—
1870C4—121no—
1871C4—121no—
1872C4—121no—
1873C4—121no—
1874C4—121no—
1875C4—121no—
1876C3#4050111yescharacteristic, complemented, Sylow
1877C2—81no—
1878C2—81no—
1879C2—81no—
1880C2—81no—
1881C2—122no—
1882C2—122no—
1883C2—241no—
1884C2—241no—
1885C2—241no—
1886C2#8603311yescharacteristic
1887C2#8603511yescharacteristic
1888C2#8640011yescharacteristic
1889C2#8662011yescharacteristic
1890C2#8665311yescharacteristic
1891C2#8677011yescharacteristic
1892C2#8691811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2456C2
hypercenter#2456D3
hypocenterC3#40501
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5553C2semidirect
3. C3×#2456C2semidirect
4. #82899C2semidirect
5. #82714C2semidirect
6. #82709C2semidirect
7. #82409C2semidirect
8. #82400C2semidirect
9. #82370C2semidirect
10. #77448C2semidirect
11. #77426C2semidirect
12. #76768C2semidirect
13. #76765C2semidirect
14. #76765C2semidirect
15. #76762C2semidirect
16. #76744C2semidirect
17. #76706C2semidirect
18. #76454C2semidirect
19. #76356C2semidirect
20. #75914C2semidirect
21. #75912C2semidirect
22. #75652C2semidirect
23. #75649C2semidirect
24. #75306C2semidirect
25. #75001C2semidirect
26. #74908C2semidirect
27. #74886C2semidirect
28. #74756C2semidirect
29. #74698C2semidirect
30. #74629C2semidirect
31. #74606C2semidirect
34. C22×#235C22semidirect
37. C2×C3×C4×D4C22semidirect
38. C2×C3×C4×D4C22semidirect
42. C2×#940C22semidirect
46. C2×#938C22semidirect
52. C2×#930C22semidirect
54. C2×C4×#67C22semidirect
63. C2×#893C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
83. C2×C4×Dic6C22semidirect
84. C3×#396C22semidirect
87. C3×#392C22semidirect
90. C3×#388C22semidirect
91. C3×#387C22semidirect
93. C3×#386C22semidirect
94. C3×#385C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5223C22semidirect
107. #5222C22semidirect
110. #5213C22semidirect
111. #5212C22semidirect
112. C4×#217C22semidirect
113. #4994C22semidirect
117. #4991C22semidirect
119. #4989C22semidirect
120. #4987C22semidirect
121. #4987C22semidirect
122. #4984C22semidirect
123. #4980C22semidirect
124. #4979C22semidirect
125. #4979C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
138. #4960C22semidirect
139. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
149. #4956C22semidirect
152. #4949C22semidirect
153. #4949C22semidirect
155. #4947C22semidirect
158. #4944C22semidirect
159. #4944C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4933C22semidirect
166. #4677C22semidirect
169. #4672C22semidirect
174. #4670C22semidirect
175. #4666C22semidirect
181. #4665C22semidirect
183. D3×#95C22semidirect
184. #4658C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4651C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
214. #2456D3semidirect
382. #893D4semidirect
477. C2×C4×D4C2×D3semidirect
478. C2×C4×D4C2×D3semidirect
487. #396C2×D3semidirect
535. #392C2×D3semidirect
553. #388C2×D3semidirect
557. #387C2×D3semidirect
571. #386C2×D3semidirect
573. #385C2×D3semidirect
1876. C3#40501semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#55532
C3×#24562
#828992
#827142
#827092
#824092
#824002
#823702
#774482
#774262
#767682
#767652
#767622
#767442
#767062
#764542
#763562
#759142
#759122
#756522
#756492
#753062
#750012
#749082
#748862
#747562
#746982
#746292
#746062
#405013