Finite Group Databasebeta

← #11304549

Subgroups — #11304549

Order 768.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5666C211yesmaximal, characteristic, complemented
2C2×#5612C211yesmaximal, characteristic, complemented
3C3×#2425C211yesmaximal, characteristic, complemented
4#82910C211yesmaximal, characteristic, complemented
5#82907C211yesmaximal, characteristic, complemented
6#82873C211yesmaximal, characteristic, complemented
7#82683C211yesmaximal, characteristic, complemented
8#82409C211yesmaximal, characteristic, complemented
9#82395C211yesmaximal, characteristic, complemented
10#77973C211yesmaximal, characteristic, complemented
11#77753C211yesmaximal, characteristic, complemented
12#77685C211yesmaximal, characteristic, complemented
13#77574C211yesmaximal, characteristic, complemented
14#77441C211yesmaximal, characteristic, complemented
15#77416C211yesmaximal, characteristic, complemented
16#77132C211yesmaximal, characteristic, complemented
17#77122C211yesmaximal, characteristic, complemented
18#76259C211yesmaximal, characteristic, complemented
19#76019C211yesmaximal, characteristic, complemented
20#75683C211yesmaximal, characteristic, complemented
21#75541C211yesmaximal, characteristic, complemented
22#74923C211yesmaximal, characteristic, complemented
23#74911C211yesmaximal, characteristic, complemented
24#74888C211yesmaximal, characteristic, complemented
25#74759C211yesmaximal, characteristic, complemented
26#74409C211yesmaximal, characteristic, complemented
27#74404C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#73893C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31#73376C211yesmaximal, characteristic, complemented
32#47927—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#936C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic, complemented
50C2×#929C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53#5666—28no—
54#5612—28no—
55C2×#898C2211yescharacteristic
56C2×#898C2211yescharacteristic, complemented
57C2×#897C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic, complemented
64C2×#893C2211yescharacteristic
65C2×#893C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C3×#398C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88C2×C3×#95C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5220C2211yescharacteristic, complemented
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4992C2211yescharacteristic
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4984C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4975C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4952C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4946C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4942C2211yescharacteristic, complemented
154#4940C2211yescharacteristic
155#4940C2211yescharacteristic, complemented
156#4939C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4674C2211yescharacteristic
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4671C2211yescharacteristic
168#4671C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic
184#4664C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#546—31no—
192#2718—31no—
193#2708—31no—
194#2703—31no—
195#2693—31no—
196#2689—31no—
197#2688—31no—
198#2682—31no—
199#2681—31no—
200#2678—31no—
201#2673—31no—
202#2672—31no—
203#2668—31no—
204#2622—31no—
205#2613—31no—
206#2557—31no—
207#2480—31no—
208#2466—31no—
209#2464—31no—
210#2444—31no—
211#2430—31no—
212#2428—31no—
213#2425D311yescharacteristic, complemented
214#2424—31no—
215#2422—31no—
216#2422—31no—
217#2412—31no—
218#2410—31no—
219#2407—31no—
220#2321—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#123—24no—
265C3×#123—42no—
266C3×#121—24no—
267C3×C4×D4—42no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊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×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#940—24no—
299#939—42no—
300#938—24no—
301#938—24no—
302#937—24no—
303#937D418yescomplemented
304#936—24no—
305#930—24no—
306#930—24no—
307#930—42no—
308#930—42no—
309#929—42no—
310C4×#67—24no—
311C2×(C2×D3)⋊C4—42no—
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(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×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#898—24no—
371#898—24no—
372#897—24no—
373#896—42no—
374#895—24no—
375#895—24no—
376#895—42no—
377#894—42no—
378#894—42no—
379#893—24no—
380#893—42no—
381#884—24no—
382#884—24no—
383#883—24no—
384#883—24no—
385#883—24no—
386#883—24no—
387#882—24no—
388#882—24no—
389#882—42no—
390#882—42no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—24no—
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×D4—31no—
425#560—68no—
426#546—68no—
427C2×#127—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic, complemented
439C2×#123C2×D311yescharacteristic, complemented
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×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4C2×D311yescharacteristic, complemented
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#400—31no—
471#399—31no—
472#398—31no—
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#395—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#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic
505#393—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#389—31no—
523#389—31no—
524#389—31no—
525#389C2×D311yescharacteristic, complemented
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#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#386C2×D311yescharacteristic
554#386C2×D311yescharacteristic, complemented
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#384—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380C2×D311yescharacteristic, complemented
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2×D414yes—
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×D4C2×D414yes—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
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×C4C2411yescharacteristic
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—41no—
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×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67C2×D414yes—
667C2×#67C2×D414yes—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682D3×D4—416no—
683#235—416no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×Dic6—22no—
730C2×Dic6—22no—
731C2×Dic6—41no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—41no—
739C3×C4⋊C4—41no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C42—41no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217C2×D414yes—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
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—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
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)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4C2×D414yes—
798(C2×D3)⋊C4C2×D414yes—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—41no—
804C4⋊Dic3—41no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8—31no—
826C22×D4—31no—
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×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—64no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863#127—64no—
864#126—64no—
865#126—64no—
866#124—64no—
867#123—24no—
868#123—42no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—64no—
873#123—122no—
874#123—122no—
875#123—122no—
876C22⋊Q8—64no—
877C22⋊Q8—122no—
878#121—24no—
879#121—64no—
880#121—64no—
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#120—38no—
892#120—64no—
893#120—64no—
894#120—64no—
895#120—122no—
896#120—122no—
897C4×D4—42no—
898C4×D4—64no—
899C4×D4—64no—
900C4×D4—122no—
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⋊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⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
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—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—64no—
974C2×C22⋊C4—64no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C42—31no—
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
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#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
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×C3C22×D412yes—
1042C23×C3C22×D412yes—
1043C23×C3C2511yescharacteristic
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
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×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3C22×D412yes—
1091C22×D3C22×D412yes—
1092C22×D3H(5,𝔽2)12yes—
1093C3×D4—44no—
1094C3×D4—44no—
1095C3×D4—82no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—44no—
1130C2×C3×C4—82no—
1131C2×C3×C4—82no—
1132C2×C3×C4—82no—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4H(5,𝔽2)12yes—
1135C2×C3×C4H(5,𝔽2)12yes—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140#67—44no—
1141#67—82no—
1142#67—82no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—82no—
1179C2×Dic3C22×D412yes—
1180C2×Dic3C22×D412yes—
1181D12—28no—
1182D12—44no—
1183D12—82no—
1184D12—82no—
1185D12—82no—
1186D12—82no—
1187D12—82no—
1188D12—82no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195C4×D3—82no—
1196Dic6—44no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—34no—
1201C24—31no—
1202C24—31no—
1203C24—62no—
1204C24—62no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24C23×D311yescharacteristic
1217C24C23×D311yescharacteristic
1218C24C23×D311yescharacteristic
1219#41—1216no—
1220C2×Q8—62no—
1221C2×Q8—62no—
1222C2×Q8—121no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—34no—
1227C2×D4—34no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—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—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—1216no—
1289C2×D4D3×D414yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—34no—
1382C22⋊C4—34no—
1383C22⋊C4—34no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C42—41no—
1433C42—62no—
1434C42—62no—
1435C42—121no—
1436C42—121no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3C23×D411yescharacteristic
1459C22×C3C2×H(5,𝔽2)11yescharacteristic
1460C22×C3C2×H(5,𝔽2)11yescharacteristic
1461C22×C3C2×H(5,𝔽2)11yescharacteristic
1462C22×C3#58511yescharacteristic
1463C22×C3#58511yescharacteristic
1464C22×C3#58511yescharacteristic
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—88no—
1501C2×D3—88no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—22no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514Dic3—22no—
1515Dic3—22no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—32no—
1545C23—32no—
1546C23—32no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—124no—
1580C23—124no—
1581C23—124no—
1582C23—124no—
1583C23—124no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23C2×D3×D412yes—
1594C23C2×D3×D412yes—
1595C23C24×D311yescharacteristic
1596Q8—124no—
1597D4—44no—
1598D4—44no—
1599D4—68no—
1600D4—82no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—242no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611D4—242no—
1612D4—242no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—32no—
1653C2×C4—32no—
1654C2×C4—44no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—82no—
1689C2×C4—124no—
1690C2×C4—124no—
1691C2×C4—124no—
1692C2×C4—242no—
1693C2×C4—242no—
1694C2×C4—242no—
1695C2×C4—242no—
1696C2×C4—242no—
1697C2×C4C2×D3×D412yes—
1698C2×C4#100412yes—
1699C2×C4#100912yes—
1700C2×C3—42no—
1701C2×C3—42no—
1702C2×C3—81no—
1703C2×C3#348411yescharacteristic
1704C2×C3#348511yescharacteristic
1705C2×C3#349611yescharacteristic
1706C2×C3#353411yescharacteristic
1707C2×C3#354611yescharacteristic
1708C2×C3#356011yescharacteristic
1709C2×C3#356211yescharacteristic
1710D3—42no—
1711D3—42no—
1712D3—42no—
1713D3—81no—
1714D3—81no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—62no—
1743C22—62no—
1744C22—62no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—248no—
1772C22—248no—
1773C22C22×D3×D411yescharacteristic
1774C22C2×#100411yescharacteristic
1775C22C2×#100911yescharacteristic
1776C22#596411yescharacteristic
1777C22#596411yescharacteristic
1778C22D3×H(5,𝔽2)11yescharacteristic
1779C22#596811yescharacteristic
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—62no—
1793C4—62no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C3#4792711yescharacteristic, complemented, Sylow
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—122no—
1808C2—122no—
1809C2—122no—
1810C2—241no—
1811C2—241no—
1812C2#8595011yescharacteristic
1813C2#8618011yescharacteristic
1814C2#8646511yescharacteristic
1815C2#8666211yescharacteristic
1816C2#8666911yescharacteristic
1817C2#8670011yescharacteristic
1818C2#8670711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2425C2
hypercenter#2425D3
hypocenterC3#47927
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#5666C2semidirect
2. C2×#5612C2semidirect
3. C3×#2425C2semidirect
4. #82910C2semidirect
5. #82907C2semidirect
6. #82873C2semidirect
7. #82683C2semidirect
8. #82409C2semidirect
9. #82395C2semidirect
10. #77973C2semidirect
11. #77753C2semidirect
12. #77685C2semidirect
13. #77574C2semidirect
14. #77441C2semidirect
15. #77416C2semidirect
16. #77132C2semidirect
17. #77122C2semidirect
18. #76259C2semidirect
19. #76019C2semidirect
20. #75683C2semidirect
21. #75541C2semidirect
22. #74923C2semidirect
23. #74911C2semidirect
24. #74888C2semidirect
25. #74759C2semidirect
26. #74409C2semidirect
27. #74404C2semidirect
28. #74018C2semidirect
29. #73893C2semidirect
30. #73377C2semidirect
31. #73376C2semidirect
35. C2×C3×#123C22semidirect
36. C2×C3×#123C22semidirect
38. C2×C3×C4×D4C22semidirect
39. C2×#940C22semidirect
48. C2×#930C22semidirect
49. C2×#930C22semidirect
50. C2×#929C22semidirect
56. C2×#898C22semidirect
58. C2×#896C22semidirect
60. C2×#895C22semidirect
61. C2×#895C22semidirect
63. C2×#894C22semidirect
65. C2×#893C22semidirect
67. C2×#884C22semidirect
70. C2×#883C22semidirect
71. C2×#883C22semidirect
78. C3×#398C22semidirect
79. C3×#397C22semidirect
80. C3×#396C22semidirect
82. C3×#389C22semidirect
83. C3×#388C22semidirect
85. C3×#386C22semidirect
86. C3×#385C22semidirect
87. C3×#380C22semidirect
88. C2×C3×#95C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
92. #5220C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5210C22semidirect
100. C4×#217C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
107. #4991C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4988C22semidirect
115. #4986C22semidirect
116. #4984C22semidirect
117. #4984C22semidirect
118. #4981C22semidirect
119. #4978C22semidirect
120. #4976C22semidirect
121. #4975C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
136. #4958C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
145. #4952C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
148. #4951C22semidirect
149. #4949C22semidirect
150. #4948C22semidirect
151. #4946C22semidirect
152. #4944C22semidirect
153. #4942C22semidirect
155. #4940C22semidirect
156. #4939C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
160. #4675C22semidirect
161. #4675C22semidirect
163. #4673C22semidirect
169. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
175. #4667C22semidirect
176. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
184. #4664C22semidirect
185. #4660C22semidirect
186. #4660C22semidirect
187. #4656C22semidirect
188. #4655C22semidirect
189. #4646C22semidirect
213. #2425D3semidirect
303. #937D4semidirect
438. C2×#123C2×D3semidirect
439. C2×#123C2×D3semidirect
464. C2×C4×D4C2×D3semidirect
473. #398C2×D3semidirect
483. #397C2×D3semidirect
487. #396C2×D3semidirect
525. #389C2×D3semidirect
533. #388C2×D3semidirect
554. #386C2×D3semidirect
565. #385C2×D3semidirect
572. #380C2×D3semidirect
579. C2×#95C2×D3semidirect
1803. C3#47927semidirect

Maximal subgroups

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

subgroupindex
C2×#56662
C2×#56122
C3×#24252
#829102
#829072
#828732
#826832
#824092
#823952
#779732
#777532
#776852
#775742
#774412
#774162
#771322
#771222
#762592
#760192
#756832
#755412
#749232
#749112
#748882
#747592
#744092
#744042
#740182
#738932
#733772
#733762
#479273