Finite Group Databasebeta

← #11304544

Subgroups — #11304544

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×#5711C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2480C211yesmaximal, characteristic, complemented
4#83091C211yesmaximal, characteristic, complemented
5#82109C211yesmaximal, characteristic, complemented
6#77694C211yesmaximal, characteristic, complemented
7#77685C211yesmaximal, characteristic, complemented
8#77674C211yesmaximal, characteristic, complemented
9#77668C211yesmaximal, characteristic, complemented
10#77517C211yesmaximal, characteristic, complemented
11#77465C211yesmaximal, characteristic, complemented
12#77432C211yesmaximal, characteristic, complemented
13#77426C211yesmaximal, characteristic, complemented
14#75932C211yesmaximal, characteristic, complemented
15#75914C211yesmaximal, characteristic, complemented
16#75847C211yesmaximal, characteristic, complemented
17#75827C211yesmaximal, characteristic, complemented
18#75683C211yesmaximal, characteristic, complemented
19#75669C211yesmaximal, characteristic, complemented
20#74638C211yesmaximal, characteristic, complemented
21#74606C211yesmaximal, characteristic, complemented
22#74432C211yesmaximal, characteristic, complemented
23#74409C211yesmaximal, characteristic, complemented
24#74040C211yesmaximal, characteristic, complemented
25#74015C211yesmaximal, characteristic, complemented
26#73858C211yesmaximal, characteristic, complemented
27#73857C211yesmaximal, characteristic, complemented
28#73855C211yesmaximal, characteristic, complemented
29#73854C211yesmaximal, characteristic, complemented
30#73592C211yesmaximal, characteristic, complemented
31#73487C211yesmaximal, characteristic, complemented
32#47927—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic, complemented
45#5711—28no—
46C2×#897C2211yescharacteristic, complemented
47C2×#895C2211yescharacteristic, complemented
48C2×#895C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic, complemented
50C2×#894C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#886C2211yescharacteristic
56C2×#885C2211yescharacteristic
57#5490—28no—
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#876C2211yescharacteristic, complemented
76C2×#874C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#397C2211yescharacteristic
80C3×#397C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88C3×#379C2211yescharacteristic
89C3×#379C2211yescharacteristic
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5210C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4991C2211yescharacteristic, complemented
95#4990C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4988C2211yescharacteristic, complemented
100#4987C2211yescharacteristic, complemented
101#4986C2211yescharacteristic, complemented
102#4985C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4979C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106#4975C2211yescharacteristic, complemented
107#4973C2211yescharacteristic, complemented
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4952C2211yescharacteristic
144#4952C2211yescharacteristic
145#4952C2211yescharacteristic, complemented
146#4951C2211yescharacteristic
147#4949C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4946C2211yescharacteristic
151#4944C2211yescharacteristic, complemented
152#4943C2211yescharacteristic
153#4940C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4658C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, 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#2480D311yescharacteristic, complemented
208#2466—31no—
209#2464—31no—
210#2444—31no—
211#2430—31no—
212#2428—31no—
213#2425—31no—
214#2424—31no—
215#2422—31no—
216#2422—31no—
217#2412—31no—
218#2410—31no—
219#2407—31no—
220#2321—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—42no—
227C22×#67—42no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
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×#235—24no—
243C2×#235—42no—
244C2×#235—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#126—24no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—24no—
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290#953—24no—
291#953—42no—
292#953—42no—
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#930—24no—
303#930—42no—
304#929—24no—
305C4×#67—24no—
306C4×#67—42no—
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#897—42no—
363#895—24no—
364#895—24no—
365#895—24no—
366#894—24no—
367#894—24no—
368#894—24no—
369#894—42no—
370#894—42no—
371#886—42no—
372#885—24no—
373#884—24no—
374#884—24no—
375#884—24no—
376#884—24no—
377#884—24no—
378#884—42no—
379#884—42no—
380#884—42no—
381#883—24no—
382#883—42no—
383#882—24no—
384#882—24no—
385#882D418yescomplemented
386#67⋊C4—24no—
387D3×C22⋊C4—24no—
388D3×C22⋊C4—42no—
389#878—24no—
390#876—24no—
391#874—24no—
392C4×D12—42no—
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×#126C2×D311yescharacteristic
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×#123—31no—
439C2×#123—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×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
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×D4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#400—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397C2×D311yescharacteristic
482#397C2×D311yescharacteristic
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#394—31no—
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#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388C2×D311yescharacteristic
532#388C2×D311yescharacteristic, complemented
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#386—31no—
554#386—31no—
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#385C2×D311yescharacteristic, complemented
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#379C2×D311yescharacteristic
575#379C2×D311yescharacteristic
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
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
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
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—416no—
659C2×#67C2×D414yes—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—41no—
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674#235—416no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12C2×D414yes—
701C2×D12C2×D414yes—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×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—41no—
736C3×C4⋊C4—41no—
737C3×C4⋊C4—41no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4C2×D414yes—
754C3×C42—22no—
755C3×C42—41no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—41no—
763#217—41no—
764#217—41no—
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—22no—
779(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
797(C2×D3)⋊C4C2×D414yes—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25C22×D311yescharacteristic
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—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—122no—
850C22×D4—122no—
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×C4—31no—
860C23×C4—31no—
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863#127—64no—
864#126—24no—
865#126—64no—
866#124—64no—
867#123—64no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873#123—122no—
874#123—122no—
875#123—122no—
876C22⋊Q8—64no—
877C22⋊Q8—122no—
878#121—64no—
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—64no—
898C4×D4—64no—
899C4×D4—122no—
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⋊C4—31no—
919C2×C4⋊C4—31no—
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—24no—
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—64no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×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×C42C22×D311yescharacteristic
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×C3—44no—
1042C23×C3—44no—
1043C23×C3—82no—
1044C23×C3—82no—
1045C23×C3—82no—
1046C23×C3—82no—
1047C23×C3—82no—
1048C23×C3C22×D412yes—
1049C23×C3H(5,𝔽2)12yes—
1050C23×C3C2511yescharacteristic
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—44no—
1084C22×D3—44no—
1085C22×D3—44no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3C22×D412yes—
1091C22×D3C22×D412yes—
1092C22×D3C22×D412yes—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—44no—
1128C2×C3×C4—82no—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131#67—28no—
1132#67—44no—
1133#67—44no—
1134#67—44no—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141#67—82no—
1142#67—82no—
1143#67—82no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—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—44no—
1175C2×Dic3C22×D412yes—
1176C2×Dic3H(5,𝔽2)12yes—
1177C2×Dic3H(5,𝔽2)12yes—
1178D12—44no—
1179D12—44no—
1180D12—82no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184D12—82no—
1185D12—82no—
1186D12—82no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—82no—
1190C4×D3—82no—
1191C4×D3—82no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195C4×D3—82no—
1196Dic6—44no—
1197C24—22no—
1198C24—22no—
1199C24—31no—
1200C24—31no—
1201C24—31no—
1202C24—34no—
1203C24—31no—
1204C24—31no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
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—34no—
1224C2×D4—34no—
1225C2×D4—34no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
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—121no—
1289C2×D4—1216no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—31no—
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—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
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—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
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—62no—
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—34no—
1381C22⋊C4—34no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
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—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4D3×D414yes—
1432C42—22no—
1433C42—41no—
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×C3—88no—
1459C22×C3C23×D411yescharacteristic
1460C22×C3C2×H(5,𝔽2)11yescharacteristic
1461C22×C3C2×H(5,𝔽2)11yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3#58511yescharacteristic
1464C22×C3#58511yescharacteristic
1465C22×C3#58511yescharacteristic
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—22no—
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—41no—
1501C2×D3—88no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—41no—
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—22no—
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—44no—
1548C23—44no—
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—61no—
1580C23—61no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23—124no—
1587C23—124no—
1588C23—124no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23C2×D3×D412yes—
1594C23#100912yes—
1595C23C24×D311yescharacteristic
1596Q8—124no—
1597D4—68no—
1598D4—124no—
1599D4—124no—
1600D4—124no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—242no—
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—21no—
1653C2×C4—32no—
1654C2×C4—32no—
1655C2×C4—32no—
1656C2×C4—44no—
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—61no—
1687C2×C4—82no—
1688C2×C4—124no—
1689C2×C4—124no—
1690C2×C4—124no—
1691C2×C4—242no—
1692C2×C4—242no—
1693C2×C4—242no—
1694C2×C4—242no—
1695C2×C4—242no—
1696C2×C4—242no—
1697C2×C4—242no—
1698C2×C4C2×D3×D412yes—
1699C2×C4C2×D3×D412yes—
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—88no—
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—121no—
1772C22—248no—
1773C22C22×D3×D411yescharacteristic
1774C22C2×#100911yescharacteristic
1775C22#596411yescharacteristic
1776C22#596411yescharacteristic
1777C22#596411yescharacteristic
1778C22D3×H(5,𝔽2)11yescharacteristic
1779C22D3×H(5,𝔽2)11yescharacteristic
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—62no—
1793C4—62no—
1794C4—62no—
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#8604011yescharacteristic
1813C2#8611811yescharacteristic
1814C2#8640111yescharacteristic
1815C2#8666211yescharacteristic
1816C2#8666511yescharacteristic
1817C2#8680111yescharacteristic
1818C2#8680911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2480C2
hypercenter#2480D3
hypocenterC3#47927
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#5711C2semidirect
2. C2×#5490C2semidirect
3. C3×#2480C2semidirect
4. #83091C2semidirect
5. #82109C2semidirect
6. #77694C2semidirect
7. #77685C2semidirect
8. #77674C2semidirect
9. #77668C2semidirect
10. #77517C2semidirect
11. #77465C2semidirect
12. #77432C2semidirect
13. #77426C2semidirect
14. #75932C2semidirect
15. #75914C2semidirect
16. #75847C2semidirect
17. #75827C2semidirect
18. #75683C2semidirect
19. #75669C2semidirect
20. #74638C2semidirect
21. #74606C2semidirect
22. #74432C2semidirect
23. #74409C2semidirect
24. #74040C2semidirect
25. #74015C2semidirect
26. #73858C2semidirect
27. #73857C2semidirect
28. #73855C2semidirect
29. #73854C2semidirect
30. #73592C2semidirect
31. #73487C2semidirect
41. C2×#930C22semidirect
44. C2×C4×#67C22semidirect
46. C2×#897C22semidirect
47. C2×#895C22semidirect
48. C2×#895C22semidirect
49. C2×#895C22semidirect
50. C2×#894C22semidirect
51. C2×#894C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
65. C2×#884C22semidirect
67. C2×#883C22semidirect
75. C2×#876C22semidirect
76. C2×#874C22semidirect
77. C2×C4×D12C22semidirect
80. C3×#397C22semidirect
81. C3×#396C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C3×#380C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5213C22semidirect
92. #5210C22semidirect
93. #4994C22semidirect
94. #4991C22semidirect
95. #4990C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
99. #4988C22semidirect
100. #4987C22semidirect
101. #4986C22semidirect
102. #4985C22semidirect
103. #4982C22semidirect
104. #4979C22semidirect
105. #4976C22semidirect
106. #4975C22semidirect
107. #4973C22semidirect
114. #4961C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
129. #4959C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
145. #4952C22semidirect
147. #4949C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
151. #4944C22semidirect
153. #4940C22semidirect
154. #4939C22semidirect
155. #4933C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
166. #4670C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. D3×#95C22semidirect
186. #4661C22semidirect
187. #4658C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
207. #2480D3semidirect
385. #882D4semidirect
483. #397C2×D3semidirect
487. #396C2×D3semidirect
532. #388C2×D3semidirect
533. #388C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
572. #380C2×D3semidirect
578. C4×C22⋊C4C2×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×#57112
C2×#54902
C3×#24802
#830912
#821092
#776942
#776852
#776742
#776682
#775172
#774652
#774322
#774262
#759322
#759142
#758472
#758272
#756832
#756692
#746382
#746062
#744322
#744092
#740402
#740152
#738582
#738572
#738552
#738542
#735922
#734872
#479273